diff --git "a/data/dm_maths/full_data_1/10225_11255.jsonl" "b/data/dm_maths/full_data_1/10225_11255.jsonl" new file mode 100644--- /dev/null +++ "b/data/dm_maths/full_data_1/10225_11255.jsonl" @@ -0,0 +1,10000 @@ +{"text":"Question: Let d = 8 + -14. Let c be (4\/d*12)\/(-2). Let g(x) = -17*x - 10*x + 5*x + c*x. Let p(y) = 2*y**2. Determine p(g(k)).\nAnswer: 648*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m + 4*i = -378, -2*m + 2*i + i = 165. What is m rounded to the nearest ten?\nAnswer: -80","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 124072 and 104?\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n*n\/(n*n\/(n\/(n**(-13)*n))*n))\/n*n)\/(n*n\/n**16)*(n\/(n*n**6))**(-31) assuming n is positive.\nAnswer: n**212","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 280 - 276.94. Let h = c + -0.06. Which is greater: 8 or h?\nAnswer: 8","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 67\/159 and 4\/51?\nAnswer: 2703","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does 78 divide 5683002?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round -31440.447 to the nearest 100.\nAnswer: -31400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 9743, 9733, 9723, 9713?\nAnswer: 9703","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-1)\/(-2) + 5\/2. Let n = 0 + 2. Let x(b) = -b - 1. Let i be x(4). Sort i, n, u in decreasing order.\nAnswer: u, n, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -5*-206*3\/30 a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x - 4*b - 3610 = b, -2160 = -3*x + 5*b. Let r(s) = 2 + 0 + 24*s**2 - 1 - x*s**2. Let o be r(1). What is o rounded to the nearest 100?\nAnswer: -700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(320) + 2 + sqrt(320) + -4)**2.\nAnswer: -64*sqrt(5) + 1284","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -3, 5, -2, -15 in descending order.\nAnswer: 5, 3, -2, -3, -15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -16137.3 - -7574. Let z = 8926 + s. Round z to the nearest ten.\nAnswer: 360","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*z - 8*z + 15. Suppose 25 = z*c, 4*b + 5*c - 297 = -0*c. Calculate the remainder when b is divided by 24.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -7424 + 7109.9. Let k = 292 + b. Let w = k - -40.8. Round w to the nearest ten.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 47957580?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_test"},"subset":"dm_maths"} +{"text":"Question: Let u be (27\/12 - 2)*(-270)\/(-1111725). Which is smaller: 0 or u?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.02622099 to 3 dps.\nAnswer: -0.026","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 22746 less than 22749?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6723732.\nAnswer: 2, 3, 560311","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 317399 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express -582*f**4 + f**2 + 7 + 4 - 3*f + 3*f**3 + 581*f**4 as m*f**2 + q*f**4 + h*f + n*f**3 + g and give n.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 731 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -20*6\/(-24)*8\/(-140).\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 21 divided by 15374.\nAnswer: 21\/15374","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1170.\nAnswer: 2, 3, 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = -932*o - 10659. Calculate f(-11).\nAnswer: -407","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*m + 31 = 25*v - 28*v, 21 = 2*v - 5*m for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -32 + 6 = k - 3*a, 4 = 2*k - 7234*a + 7235*a for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/11? (a) 2.406 (b) -4 (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = 1. Let f(b) = 1. Let t(r) = 6*a(r) - 10*f(r). Let v(y) = -y - 1. Let w be (-2)\/1 - -5 - 2. Let k be 2 + -2 - 2*w. What is k*v(i) + t(i)?\nAnswer: 2*i - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = 11*q**2 + 92*q - 3727. Let i(l) = -8*l**2 - 107*l + 3728. Let a(y) = 5*i(y) + 4*z(y). Differentiate a(j) with respect to j.\nAnswer: 8*j - 167","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = -5*z - 160. Determine k(21).\nAnswer: -265","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor 27 - 4*j**2 - 15 + 2*j - 8 - 2*j**3.\nAnswer: -2*(j - 1)*(j + 1)*(j + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 0 - -59?\nAnswer: 59","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 21523498?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 98*(-3)\/12*(-304)\/266?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5943 is divided by 205.\nAnswer: 203","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-3)\/(-2)*(-4)\/3. Let m be 1536\/14 + (n - 0). Let w = m + -108. Which is bigger: w or 1\/4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 259, 339, 419, 499?\n\"Answer: 80*w + 179","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 9558552 to the nearest integer?\nAnswer: 212","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 23052886 and 542?\nAnswer: 542","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -152.41 - -151. Let p = v + 1.40952. Round p to three dps.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8505?\nAnswer: 3, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o - 2*w + 8 = 0, -5*o + 7 = -w - 4. Calculate the smallest common multiple of -4*((-1)\/(-4) - o) and 4.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = u**3 + 8*u**2 - u + 6. Let z be c(-8). Let x be (z - -1)\/3 - (-10)\/(-5). Solve 4*j = 2*k + 8, -x*j + 0*j = 4*k + 16 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*r + 1342*r**2 + 212*r**2 + 0*r.\nAnswer: 1554*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(-14)*b\/b**38*(b*b**(-4\/7)*b)\/b*b**30)**50 assuming b is positive.\nAnswer: b**(-7200\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 6\/63*(-150)\/50\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (1 + -30)\/(2 + -3). Let b = c - 49. Is -1 less than or equal to b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1.99 - -0.19. Let f = 5.2 - c. Let j(b) = b + 10. Let d be j(-10). Which is bigger: f or d?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 99880, 99874, 99868?\nAnswer: 99862","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3174.\nAnswer: 2, 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 44087?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -10112202001002001 + -11?\nAnswer: -10112202001002012","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/4 in 2.7, 5, -0.04, -11?\nAnswer: -0.04","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 213*g*j*t**3 + 97*g*j - 2*g*t**2 + g - 22*j*t**3 + 7*j*t**2 wrt t.\nAnswer: 1278*g*j - 132*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = -3*s**2 - 11*s + 11. Let c(x) = x**2 + 4*x - 4. Calculate 11*c(d) + 4*l(d).\nAnswer: -d**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -43547*y - 375229*y + 29574*y - 352815*y.\nAnswer: -742017*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -886 + 510?\nAnswer: -376","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-3)\/(-4)*(-4)\/6. Let b = -4 - -3. What is the nearest to h in b, 4, -3?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 64*g**2 + 55*g**2 + 37*g**2 - 190*g**2.\nAnswer: -34*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o**6\/o)\/o**14)\/((o\/((o*o\/(o**(-1\/20)*o)*o)\/o))\/(o\/((o\/(o\/o**(-9)*o))\/o))) assuming o is positive.\nAnswer: o**(61\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3511?\nAnswer: 3511","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12*v - 2*y = 0, 4*v + 2*y + 40 = 88 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0002055 to five dps.\nAnswer: 0.00021","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 925 + -928.5. Which is the biggest value? (a) 3 (b) 1 (c) u (d) 5\/3 (e) -2\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-26)\/30 + (-2)\/15 + 3. What is the second derivative of -4*h - 228*h**2 - h + 215*h**i wrt h?\nAnswer: -26","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 96.70259 weeks to microseconds.\nAnswer: 58485726432000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 440839559 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*f**2 + 1533141012 - 1533141012.\nAnswer: 2*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -42, -47, -52?\nAnswer: -57","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -6 + 9. Suppose 4*h = -c*q + 3*h - 12, 0 = 5*q - 3*h + 20. Let l = q + 9. Solve 0 = -k + l*k - 3*u + 8, -13 = -5*k - 2*u for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1305 and 1949445?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2368085, 4736151, 7104201, 9472229, 11840229?\nAnswer: 14208195","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = f**3 - 21*f**2 - 69*f - 72. Let l be i(24). Suppose 0 = -4*y + 10 - 2. Sort l, -6, y in ascending order.\nAnswer: -6, l, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -591215 (base 12) in base 5?\nAnswer: -331322232","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = 4*z**2 - 12. Let c(y) = 340*y - 19. Determine c(f(w)).\nAnswer: 1360*w**2 - 4099","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or -40\/181?\nAnswer: -40\/181","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = -t**3 - 7*t**2 - 12*t + 3. Let x be z(-5). What is the greatest common divisor of x and 39?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 30*t + 11301 - 3766 - 3765 - 3770.\nAnswer: 30*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence uiu when three letters picked without replacement from iiuiiuuiuuui?\nAnswer: 3\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: (477 + -462)\/(1*1\/1)\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 5 + -3412?\nAnswer: -3406","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 236 a factor of 102917?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 52112 (base 13) in base 12?\nAnswer: 7135b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m - 11 = -i, -i + 3 + 7 = 4*m. Is i greater than 4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = 2*k + 38. Let r be s(-17). Find the second derivative of -34*y + 8*y - 157*y**r + 152*y**4 - y wrt y.\nAnswer: -60*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o = -8*o + 4*b + 26752, -b + 33410 = 5*o. Is o prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (17 - 4 + 7)*(0*t + 0*t + 2*t - 3*t**4).\nAnswer: -60*t**4 + 40*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-35)\/(2100\/(-40)))\/((-2)\/((-90)\/(-3)))?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -9.0000045 + 9. Round l to 7 dps.\nAnswer: -0.0000045","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 5\/12? (a) -3146 (b) -1\/7 (c) -20\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 345 and 575.\nAnswer: 115","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g = 2*p - 1792, -g + 933 = 2*p - 847. Solve -3*l - 872 = -p for l.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (22*c - 2*c + 215 - 18*c)*(-2*c - 2 - 5 + 6).\nAnswer: -4*c**2 - 432*c - 215","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 h and 2 d when four letters picked without replacement from {g: 1, m: 1, p: 5, f: 2, d: 1, h: 3}?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = 5*n - 5. Let a(q) = -6 + 4*q + 0*q + 2*q. Let d(c) = 4*a(c) - 5*x(c). Find the first derivative of d(j) wrt j.\nAnswer: -1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 4\/(-3)*(-27)\/9. Suppose 4 = -3*q - q, d*z - 5*q - 353 = 0. Is z composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 4\/9, -0.19 in ascending order.\nAnswer: -0.19, 4\/9, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) be the first derivative of 2*d - 1\/2*d**2 - 7 + 1\/6*d**3. Let m(g) be the first derivative of v(g). Let f(y) = -2*y**2 + 2. Determine -f(b) - m(b).\nAnswer: 2*b**2 - b - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -119.67164 rounded to the nearest ten?\nAnswer: -120","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 68238 to the power of 1\/2, to the nearest integer?\nAnswer: 261","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 420 and 60.\nAnswer: 420","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (0 - -2) + 7 + -6. Suppose 5*u = 4*m + 21, -4*m - 3 = -3*m + u. Put 2, c, m in decreasing order.\nAnswer: c, 2, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 224376 to the power of 1\/2, to the nearest integer?\nAnswer: 474","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from oooofofooofoffoo. Give prob of picking 3 o and 1 f.\nAnswer: 165\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -9*z + 5*z + z for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 64605 and 12.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: (12\/(-162))\/((-17)\/391*-23)\nAnswer: -2\/27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-1)\/2*-4 + -2. Let h be ((-5)\/(-15))\/(-3*(-7)\/(-252)). Let m be (-5 - -9) + -4 - (h + 4). Which is the nearest to l? (a) 1 (b) 4 (c) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -35 + -1. Let n = -32 - g. Suppose 5*i - 3*x = 288, -i - 4*x - 164 = -n*i. Is i a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*u**3 + 670*u**2 - 4495*u + 6350.\nAnswer: -5*(u - 127)*(u - 5)*(u - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-7)\/9)\/((-4)\/(-120))*3. Let j be 5 - 111\/21 - 48\/v. Which is the closest to -3? (a) -2 (b) j (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = -b**2 + b - 5. Let s be 3 + (2 - -1)*-1. Calculate l(s).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 13806498424173\/103240 - 1337320557\/10. Let g = 1\/5162 - q. What is the common denominator of -13\/22 and g?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -62971 + -22?\nAnswer: -62993","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = -752*l**3 + 2*l**2 + l - 2. Let h be k(1). Is h smaller than -752?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 53139855?\nAnswer: 3, 5, 3542657","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = u**2 - 8*u - 4. Give m(8).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 3\/30*(-43640)\/19638\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 47\/11268 and -29\/176532?\nAnswer: 529596","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -1, 15, 49, 107, 195?\n\"Answer: k**3 + 3*k**2 - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (-546 - -542) + (-1 - (2 - -10))?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let -607*f**2 + 30*f**3 - 12*f**4 + 0 - 603*f**2 + 0 - 2*f**5 + 1194*f**2 = 0. What is f?\nAnswer: -8, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-50)\/((9\/(-9))\/((-52)\/(-130)))?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = b**2 + 15*b + 19. Let o be h(-14). Suppose o*c = -18 + 3. Let z = 1 - c. What are the prime factors of z?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 334542 divided by -15?\nAnswer: -111514\/5","meta":{"dup_signals":{},"source":"arithmetic__div_test"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(-2))**41*g*g**(-6\/11)*g**4 assuming g is positive.\nAnswer: g**(-853\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = -2*y**3 - 4*y**2 - 297*y - 40. Let g(r) = 6*r**3 + 12*r**2 + 893*r + 140. Calculate -7*b(n) - 2*g(n).\nAnswer: 2*n**3 + 4*n**2 + 293*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 0 + 1)*(-3 + 5 + 7)*(3 - 3 - 2*u).\nAnswer: 18*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1\/6913 - 6909\/27652. Are k and 3\/925 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 11.311, -0.74, 0.3, -1.\nAnswer: -1, -0.74, 0.3, 11.311","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = -o**3 - 16*o**2 + o + 22. Determine s(-16).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-18)\/(-63))\/((-6)\/7 - -1). What is the smallest value in -2\/55, h, -4, 3?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 14, -166 in decreasing order.\nAnswer: 14, -3, -166","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -20 + 97 + -24 - (-6 + (-7 + 10 - 4))?\nAnswer: 60","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i*(i**(1\/24)\/i*i)\/i)\/i*i*i**(-26))**(-5\/12) assuming i is positive.\nAnswer: i**(3115\/288)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -2*(2 + 14\/(-4)). Suppose -z*m + 37 = -83. Is (12\/10)\/(3\/m) a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {t: 3, v: 7, s: 7, f: 3}. Give prob of picking 1 v, 1 s, 1 t, and 1 f.\nAnswer: 147\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from nmupmhp. What is prob of sequence nm?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o = b - 11, 0*o + 2*o = -5*b - 11. What is the closest to b in -0.1, 5, 0.2?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*m - 52*m**2 + 33*m**2 + 0 + 0 as n + w*m + t*m**2 and give w.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = -12 - 1053*b - 1044*b + 2095*b. Suppose -5*i - 18 = 32. Give m(i).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*i + 14*i + 15 = 0 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 37.223644+-0.0273\nAnswer: 37.196344","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 15095 is divided by 3017.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 887, 3516, 7869, 13922, 21651, 31032, 42041?\nAnswer: 54654","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 71457, 70264, 68277, 65496, 61921, 57552?\nAnswer: 52389","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3.08051 millennia to years.\nAnswer: 3080.51","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = -10*r - 56. Let g be z(-6). Let h(l) = 3*l - 6. Give h(g).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*b - 107 - 62 + b + 0*b - 225.\nAnswer: b - 394","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*s + 3*d + 11 = 0, -3*s - 4*d + 3*d = 2 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 1110223 + 3?\nAnswer: 1110232","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 11464, 11462, 11458, 11452?\nAnswer: 11444","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -3, -4, -1, 5.\nAnswer: -4, -3, -1, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -652 in -36, -0.3, 2\/43, -5?\nAnswer: -36","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 133 + -34055121?\nAnswer: -34054544","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -a + 2 = -5*z, -2*a + 84502 = 2*z + 84510 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -4263627405 divided by -5?\nAnswer: 852725481","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:40 PM and 1:45 AM?\nAnswer: 605","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.04874 - -0.45126. Sort v, 0.018, 10 in descending order.\nAnswer: 10, v, 0.018","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3491 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does -23783 = -23783?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 75.67067 litres?\nAnswer: 75670.67","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 97 is divided by 13.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 2304 and 36.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 655, 2736, 6223, 11110, 17391, 25060, 34111?\n\"Answer: -d**3 + 709*d**2 - 39*d - 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.0192 + -0.0431. What is s rounded to 3 decimal places?\nAnswer: -0.024","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 31\/2 of a meter in millimeters?\nAnswer: 15500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: (1600\/(-1725))\/8*(-8)\/32\nAnswer: 2\/69","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) be the third derivative of 0 + 0*d - 2\/3*d**3 - 11*d**2 - 1\/24*d**4. Determine i(-6).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-8)\/(-12))\/(7\/42). Put z, 3, -5, 2 in increasing order.\nAnswer: -5, 2, 3, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4162483751 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((z\/(z\/(z*z*z**(-3\/2))))\/z*z)\/z**(3\/10))\/(z**1\/z*z\/(z*z*z\/(z\/z**(-2\/7)))) assuming z is positive.\nAnswer: z**(32\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express -48*p - 63*p + 157*p - 45*p + 1 + p**3 + 29*p**2 as u*p + j + d*p**2 + q*p**3 and give d.\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2231726.\nAnswer: 2, 7, 17, 9377","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(-5)\/w)**20\/((w\/(w**(12\/5)*w*w))\/w**(-3)) assuming w is positive.\nAnswer: w**(-598\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -173\/21 + 53\/7. Let c = 0.9 - 4.9. Are s and c equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1409861439.\nAnswer: 3, 7, 2383, 9391","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 v and 1 i when three letters picked without replacement from {i: 2, v: 2, y: 5}.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(sqrt(75) - (sqrt(75) + 3)).\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 4 - (20 - (5 - -5)). Let w = -77 + 229\/3. Let x be (-5)\/1*2\/(-15). What is the closest to x in w, -1, i?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*z**3 - 5944*z**2 - 146100*z.\nAnswer: -4*z*(z + 25)*(z + 1461)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -9 * -0.4\nAnswer: 3.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n = -4*x + 51, -111 = -5*n + x + x. Let q be (2\/3)\/(2\/42). Calculate the greatest common divisor of q and n.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 91013 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = n**2 - 109*n + 242. Give t(107).\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -2219, -8476, -18903, -33500, -52267, -75204, -102311?\n\"Answer: -2085*c**2 - 2*c - 132","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = -2*b + 15. Let o be -3 - (-14)\/(-4)*-2. Suppose 3*m - 52 = -o*k, -5*k - m = -11 - 65. What is the remainder when k is divided by l(3)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = -3*z**2 + z - 725. Let c(u) = 4*u - 1. What is c(v(w))?\nAnswer: -12*w**2 + 4*w - 2901","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = 145*p**2 - 66*p - 190. Is j(-3) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 42 a factor of 76614?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4 - 2) + -13 + 1 + -5 + 24 - -50.\nAnswer: 59","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s + 20 = -s. Suppose -s = 3*b - 5*b. What is the remainder when 9 is divided by b?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 2\/(-1) - (5 + -4)*17. Let v = u - -282. What is the hundreds digit of v?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -4451*q + 129 - 271 - 253 + 1441*q wrt q?\nAnswer: -3010","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 less than 13.43502?\nAnswer: 15.43502","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 18 - -2. Suppose -w*m = -16*m - 52. Solve m - 7 = -3*r for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = -2*c**3 + 5*c**2 + 3*c + 3. Let p(h) = -5*h**3 + 11*h**2 + 7*h + 7. Let j(n) = n - 9. Let x be j(6). Give x*p(k) + 7*w(k).\nAnswer: k**3 + 2*k**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 4 - -126970158913\nAnswer: 126970158917","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 96316, 192600, 288830, 385006, 481128, 577196, 673210?\n\"Answer: -27*y**2 + 96365*y - 22","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 44 minutes after 2:58 PM?\nAnswer: 3:42 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-15)\/(-4) - (-2)\/8. Let u be -1 - -13*(5 + -3). Solve 0 = x + 2*w - 6, z*w = x - 7 + u for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13*a - 57111 = -56747 for a.\nAnswer: 28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 821427?\nAnswer: 3, 19, 14411","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20 + 10 = -6*w. Let l = -1 - -3. Which is the closest to -2? (a) w (b) -0.5 (c) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 18982 a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -36 + 65. Suppose 5*z + s = 4*o, -z + 5*z = o - 10. Let p(d) = d**2 - 8*d + 6. Calculate p(o).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = -87*a**2. Let c(v) = 4*v. Give c(p(j)).\nAnswer: -348*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in -75, 1, -3, -4, 4, 16?\nAnswer: 16","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l*l**(-1\/3))**(-22)\/(((l*l\/(l*l\/(l*l**2)))\/l)\/l**(2\/11))*(l**(2\/7)*l*l**(-3\/5)\/l)**(-2\/25) assuming l is positive.\nAnswer: l**(-475274\/28875)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -57 + 19 + 68 + 6.\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3 - 3)*7\/14.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = -20583*b**2. Let j(r) = -4*r. Determine j(g(x)).\nAnswer: 82332*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p = -5*k, 2*k = -2*k + 5*p. Suppose k = b - 21 - 14. Is b prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -199 - -178. List the prime factors of h\/((-42)\/6)*361.\nAnswer: 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 0.3, 0, -12672, -2\/3, 77?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express -7*c**2 + 10*c + 5*c**2 - 10*c - 6 in the form u*c**2 + d*c + h and give u.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00000259643 rounded to seven decimal places?\nAnswer: 0.0000026","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put -17, -2\/7, -0.2, 0.0829, -1 in descending order.\nAnswer: 0.0829, -0.2, -2\/7, -1, -17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 465 + -319. Suppose -142*a + d*a = 24. Find the third derivative of 25*q**2 + 34*q**a - 14*q**6 - 14*q**6 wrt q.\nAnswer: 720*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = -6*i**3 - 8*i**2 + 2*i - 5. Let x = -16 + 10. Let a be k(x). Let c = a - 610. Is c a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine t, given that -878379*t**2\/7 - 36*t\/7 = 0.\nAnswer: -12\/292793, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = -g**3 - 29*g**2 - 5*g - 55. Let i be r(-29). Let c be (-4 + -16)\/((-6)\/(3 - -9)). What is the highest common factor of c and i?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 13473?\nAnswer: 3, 499","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = -688*w**3 + w**2 - 4*w - 1850. Let m(j) = j**3 - 2*j + 5. Let y(s) = -2*m(s) + v(s). What is the first derivative of y(o) wrt o?\nAnswer: -2070*o**2 + 2*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 24, 138, 2\/9, 5 in increasing order.\nAnswer: -1, 2\/9, 5, 24, 138","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert -5531115 (base 6) to base 11.\nAnswer: -179662","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s + 124 = -5*l, 108 = s - 3*l + 2*l. Calculate the remainder when s is divided by 5.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*o**3 - 4*o + 4*o - o**3 - o**3 + 4*o**3 + (o + 2*o - 5*o)*(-2*o**2 - o + o) + (0 - 2*o + 0)*(-53*o**2 + 80*o**2 + 204*o**2).\nAnswer: -454*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z + 5 + 3 = 0. Let v(m) = -m + 13 - 2*m**2 + 8*m + 0*m**z. Let g(r) = r**2 - 3*r - 6. What is 9*g(h) + 4*v(h)?\nAnswer: h**2 + h - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 654 and 78?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 329 and 25.\nAnswer: 8225","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 2.1 - 15.1. Let w = y + 10. Let d = 1 - 1.4. Sort w, -1\/12, d.\nAnswer: w, d, -1\/12","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -36130 + 36720. Calculate the lowest common multiple of o and 94.\nAnswer: 27730","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:24 AM and 3:58 PM?\nAnswer: 274","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) be the third derivative of -d**5\/90 - 80*d**4\/9 + 107*d**3\/3 - 16*d**2 - 36*d. Factor z(y).\nAnswer: -2*(y - 1)*(y + 321)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-one halves of a millimeter in micrometers?\nAnswer: 20500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -574 (base 12) in base 2?\nAnswer: -1100101000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = o - 1. Let j be k(4). Let c be 0\/1 + -1 + j. Suppose 0 + 27 = 3*x - c*n, n = 0. List the prime factors of x.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = -n. Let g(v) be the second derivative of -3*v + 0 + 0*v**3 + 1\/6*v**4 + 0*v**2. Give u(g(w)).\nAnswer: -2*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*x**3 - 33 + 35 + 5*x**3 - 5583*x + 8*x**3.\nAnswer: 13*x**3 - 5583*x + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 933 to the power of 1\/3, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1153573 - -0.55535.\nAnswer: -1153572.44465","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 h when two letters picked without replacement from {n: 8, m: 4, h: 4}?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = 9*m**3 - 4*m**2 + 9*m - 24. Let t(s) = -5*s**3 + 2*s**2 - 4*s + 10. Calculate 7*t(g) + 3*z(g).\nAnswer: -8*g**3 + 2*g**2 - g - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = -162*r**2. Let z(p) = -4*p**2. Give z(t(q)).\nAnswer: -104976*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 4, 5, 1\/3.\nAnswer: 1\/3, 2, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) -0.95 (b) 3 (c) -0.9 (d) -1\/6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-11*u + 2*u + 2*u - 3)*(-u**3 + 3*u - 3*u).\nAnswer: 7*u**4 + 3*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*l**2 + 2*l**2 + 3*l**3 + (1 - 3*l - 1)*(-3*l**2 + 0*l**2 + 2*l**2).\nAnswer: 6*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) be the first derivative of 2*a**6\/15 - 4*a**5\/25 - a**4\/5 + 4*a**3\/15 + 25. Factor b(k).\nAnswer: 4*k**2*(k - 1)**2*(k + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 645 is divided by 645?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put -2002, 10, -742, 3, 4, -5 in increasing order.\nAnswer: -2002, -742, -5, 3, 4, 10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express (0 + 0 - 2*m)*(-6 + 1 + 2) + (3 - 2 + 7)*(-3 + 3 - 2)*(-m + 2 - 2) - 1 + 1 - 4*m in the form i*m + g and give i.\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify h**24\/(h*h*(h**(-45)*h)\/h) assuming h is positive.\nAnswer: h**67","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1186231049\/16015 - 74070. Which is greater: 0 or w?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 5, o: 3, s: 3}. What is prob of picking 2 u?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 235 + 169 + -365 + (-1 - -50)?\nAnswer: 88","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 s, 1 y, 1 e, and 1 w when four letters picked without replacement from sswsyyywxsxyvwwex?\nAnswer: 16\/595","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 28298 is divided by 790?\nAnswer: 648","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = 5*q - 10*q. Let a(k) = -39*k - 3. Let w(d) = -d. Let c(h) = q*w(h) + a(h). Is c(-8) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (-636)\/(-792)*(-18)\/(-12) and 3\/32.\nAnswer: 352","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {w: 5, a: 7}. What is prob of picking 2 a and 2 w?\nAnswer: 14\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = -r - 5. Let f be p(-5). Let i(g) = g**2 + 8*g + 3. Let s be i(f). Solve s*y - 3*k + 6 = 0, -9 - 11 = y + 5*k for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = n + 2. Let i be s(0). Differentiate 4*q**2 + 5*q**2 - 11*q**i + 7*q**2 - 14 with respect to q.\nAnswer: 10*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 1684596?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 2253 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: Suppose 315*a**5 + 105995*a**4 - 482615*a**3 + 546745*a**2 - 190900*a + 20460 = 0. What is a?\nAnswer: -341, 2\/9, 2\/7, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence lisx when four letters picked without replacement from iiisxlxxiixxxx.\nAnswer: 5\/3432","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) be the first derivative of -3*a**7\/14 + 11*a**3\/6 - 18*a - 20. Let b(v) be the first derivative of l(v). Find the second derivative of b(w) wrt w.\nAnswer: -180*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = -12*c**3 + 2*c**2 - 2*c - 2. Let o be x(-2). Let l = o - 955\/9. Which is bigger: l or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = -29*r**2 + 630*r + 4821. What is d(-6)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = -n**2 - 4*n - 4. Let p = 13 + -15. Let w(h) = h**3 + 2*h**2 + h - 2. Let q be w(p). Give a(q).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = -10*p - 26. Let s be o(-3). Suppose s*j - 4*z = -80 + 1500, -2*j + 726 = 2*z. What are the prime factors of j?\nAnswer: 359","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d + d + 2 = 0. Suppose 6*b = -5*z + 3*b + 4, d*z + 6 = -5*b. Suppose -z*w + 36 = -4. Solve -w = -3*v - i - 3, 0 = v - 2*i - 1 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 4360 and 20?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -7*w + 2*w - 5 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (9*a + 52*a + 47*a + (0*a - a + 0*a)*(3 - 1 - 3))*(-5*a**2 + a**2 - a**2)*(a + 4*a + 0*a)*(1 - 1 + 2).\nAnswer: -5450*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = -6*z - 2. What is k(2)?\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*n - 2*n = -6. Sort -2, n, -1 in increasing order.\nAnswer: -2, -1, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -479a (base 16) to base 9\nAnswer: -27126","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = -j - 26. Let k(v) be the second derivative of -v**3\/3 + 29*v. What is b(k(w))?\nAnswer: 2*w - 26","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 106\/(-10) - 2\/5. Let t be 6 + (-1 - (-1 - (-4 - -2))). Let m = t - c. Solve 22 = -4*u - 2*a, -m - 11 = 5*u + 2*a for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*v + v + 139 - 139.\nAnswer: 4*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) be the first derivative of 7*i**6\/180 + i**4\/24 - 4*i**3\/3 - 21. Let x(l) be the third derivative of p(l). Differentiate x(k) with respect to k.\nAnswer: 28*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -9690 divided by -3\nAnswer: 3230","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 - 1 = 2*s. Let q be 10\/s*(2 - 0). Solve 3*a - 5*x = -5, q*a - 2*x + 16 = a for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 134 and -163.\nAnswer: -21842","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = -4*j**3 - 8*j**2 + 2*j - 4. What is the tens digit of o(-4)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 700830 is divided by 700762.\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__div_remainder_test"},"subset":"dm_maths"} +{"text":"Question: Solve 384*y - 30574 = 3200 - 5742 for y.\nAnswer: 73","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = -30*g - 611. Calculate n(-20).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.2 in 1, 1.1, 2\/15, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h + 10 = 4*p, 2*p + 5*h = 4*p - 9. Let y = 0 + 20. Let v = p + y. What is the tens digit of v?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (0 + 1 - 3)*(-3 + 7 - 2 + 4*f) in the form z*f + j and give z.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = -321035*x + 2574. Let z(o) = 997*o - 8. Give 4*t(d) + 1287*z(d).\nAnswer: -1001*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.02? (a) 6\/11 (b) -1\/4 (c) 5 (d) 1 (e) -2\/1473\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 37257024 a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-51 - 0) + (-5 - ((-8 - -63) + -48)).\nAnswer: -63","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -55 + 127. Suppose -3*z = -57 - j. Is 12 a factor of z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a*a*a**(-1\/2))\/(a*a**8)*a**3\/a**7 assuming a is positive.\nAnswer: a**(-23\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 50\/63 and -79\/42?\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -34 - 15.5. Let n = -77 - y. Let q = n - -26. Which is the third biggest value? (a) -3 (b) q (c) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3*-252940.48\nAnswer: 758821.44","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -64*a + 18833*a**2 + 1 - 19435*a**2 + 491*a wrt a.\nAnswer: -1204","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 2*(2 + -4 - -6). Let d be (-9)\/(-4) - 2\/y. What is the second derivative of -3*m + m**4 - 6*m**4 + d*m**4 - 3*m wrt m?\nAnswer: -36*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 16 + -1 - -6*30917\/172. Factor q*m**2 + 162*m + 6.\nAnswer: 3*(27*m + 2)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 12285 and 1503.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 87278406 to the nearest integer?\nAnswer: 9342","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = 14*z - 98. What is f(7)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) be the first derivative of -5\/2*x**2 + 5\/3*x**3 + 12 + 2*x - 1\/4*x**4. Let y be z(3). Which is the smallest value? (a) y (b) 4 (c) -9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 8370, 16743, 25122, 33507, 41898, 50295?\nAnswer: 58698","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 1448.2239 nanoseconds in minutes?\nAnswer: 0.000000024137065","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 - 99*c**3 + 104*c**3 + 1.\nAnswer: 5*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) be the third derivative of -11*j**6\/120 - j**5\/60 - 9*j**4\/8 + 2*j**2 + 20. What is the third derivative of g(i) wrt i?\nAnswer: -66","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -2 at most as big as -30?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(588) + 2 + sqrt(588))*2*-3 + 4*(sqrt(588) + 0) + 0 + (sqrt(588) - (sqrt(588) - (1 + sqrt(588))) - sqrt(588)) + 4)**2.\nAnswer: 1568*sqrt(3) + 37681","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -23 + 9\/((-324)\/(-804)). Which is the nearest to -23\/2? (a) 0 (b) v (c) 3 (d) 1\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 38 minutes after 3:58 PM?\nAnswer: 4:36 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = 3*t**2. Let g(f) = -1057*f - 2. Calculate g(d(s)).\nAnswer: -3171*s**2 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*d + 3*c = -10, c - 16 = 5*c for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13 = 4*i - 0*a + a, -5*i - 4*a = -19 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Divide -14990 by 5.\nAnswer: -2998","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) be the third derivative of 37*x**4\/6 + 83*x**3\/3 + 207*x**2. Is i(8) a multiple of 45?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000069377 rounded to six decimal places?\nAnswer: -0.000069","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 2 + 29 - 67 - (-5 + 6 + 2 + -6)\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = -y + 58. What are the prime factors of j(0)?\nAnswer: 2, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = 4*v - 14. Is (-6)\/(-9)*144\/v a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.0421 + -1.\nAnswer: -0.9579","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6*z - z - 3*z)*(-5 - 1 + 4 + z**2).\nAnswer: 2*z**3 - 4*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:00 PM and 11:43 PM?\nAnswer: 463","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = -3*f - 2 + 4 - f**2 - 2*f**3 - 5 + 3*f**3. Let j be w(3). Is 214\/1 + (-18)\/j a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3 - 2*-1)\/(-11 + (-2272)\/(-208))?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 81690011 is divided by 15?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 9357\/(-1194) - (-3 - -17)*(-8)\/14 and -47\/16.\nAnswer: 3184","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 15516.\nAnswer: 2, 3, 431","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence de when two letters picked without replacement from {e: 2, l: 1, d: 1, j: 11}.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3043*x + 1565*x + 1540*x - 1178 for x.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 125015473?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1077.\nAnswer: 3, 359","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11059 + 1219 = -462*p - 415*p for p.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -84 = 2*i + 5*f - 119, -f = i - 22. Solve 5*d = -5*o - i, 3*d - 2*o + 13 = -2 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -30*t**3 - 206 - 181 - 202 - 16*t**3 + 589.\nAnswer: -46*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 26511252 and 36?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 x and 1 o when two letters picked without replacement from loldoxxdlldxllddddd?\nAnswer: 2\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -2.2 * -93427\nAnswer: 205539.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*(sqrt(130) + 1*sqrt(130)) - sqrt(130))\/(5*sqrt(10)*2).\nAnswer: 9*sqrt(13)\/10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 80 + -79.943. Round t to 2 decimal places.\nAnswer: 0.06","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (29 - (98 + -46)) + -21?\nAnswer: -44","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 682 minutes before 8:50 PM?\nAnswer: 9:28 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -12 + 10. Let j = -2.6 - p. Let l(y) = -y**3 + 2*y**2 - 2*y + 3. Let h be l(2). Is j smaller than h?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.86509247 - 10766.\nAnswer: -10765.13490753","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 2.2 + -2.2. Which is the nearest to q? (a) 0 (b) -28 (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = y - 1. Let r be (-2 - 12\/(-8))*2. Let s(k) = -k + 4. Determine r*s(n) - 2*m(n).\nAnswer: -n - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:21 AM and 11:23 AM?\nAnswer: 62","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -13*r**3 + r**3 - 6*r**3.\nAnswer: -18*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = 108*p + 961. Give c(-9).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = -c**2 + 8*c - 7. Let d be h(7). Let m(k) = 2*k**2 + 7*k - 2. Let f be m(-4). Suppose -f*n = -d*n - 12. Is 6 a factor of n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -110416, -108616, -106816, -105016?\n\"Answer: 1800*k - 112216","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -2 + (-1 + 9 - -1). Let s(o) = o**2 - 6*o - 7. Let f be s(r). Solve f = -3*l - 0*t - 5*t + 21, 6 = 2*t for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 2466664090?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = o + 5. Let h be s(-7). Let f(d) = -1. Let z(k) = 6 - 2 - 2*k + k + 0. Let i(c) = 5*f(c) + z(c). Give i(h).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -67 - -66.27. Let x = a + 36.73. Let t = 47.3 - x. Round t to the nearest integer.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence irxi when four letters picked without replacement from {r: 1, x: 1, i: 3}.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (i**3 + 3*i**2 - 3*i**2)*(3 + 5 - 2)*(3*i - 4*i - 11*i**2 - 32*i**2).\nAnswer: -258*i**5 - 6*i**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 18206*i**3 - 2*i**2 + 1975*i + 2 wrt i.\nAnswer: 109236","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 at most as big as 0.2277?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -849750 divided by 55.\nAnswer: -15450","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (20\/(-6) + 3)*-9. Suppose -g = -5*r + 29, -r - y = 2*g - 0. Suppose -4*s + r*a + 33 = -1, -1 = -s + 5*a. Is 4 a factor of s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 476 times -1.1\nAnswer: -523.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(3 + sqrt(17))**2 - (-3 + sqrt(612)).\nAnswer: 12*sqrt(17) + 81","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 36 and 162.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 18 - (41 + 6) - -44 - 108?\nAnswer: -93","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 63.4 + -63. Which is the fourth biggest value? (a) 3\/7 (b) -3 (c) 2\/7 (d) u\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*s**2 + 494490*s - 24712000.\nAnswer: -5*(s - 98848)*(s - 50)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = 2*d**3 + 2*d**2 - 4*d + 1. Give j(-3).\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 14277 is divided by 3569.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in -3\/8, -0.3, 3.1, 5, -23172?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 3823.5 rounded to the nearest one hundred?\nAnswer: 3800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0 - 1996*v**2 + 4211*v**2 - 6*v**3 + 0 - 1331*v**2 to t*v**2 + y*v + j*v**3 + o and give t.\nAnswer: 884","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -145, -289, -433, -577?\nAnswer: -721","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 102*d**3*k - 170*d**3*u**3 - 3*d**2*k*u**3 - 3*d**2*u**3 - 2*d**2 - 32*d*k*u**2 + 3*d*u**3 - 3*k*u wrt d?\nAnswer: 612*k - 1020*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 m and 1 h when three letters picked without replacement from {n: 1, m: 1, h: 11}.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9706019.\nAnswer: 79, 122861","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*m - 24*y + 42, -6*m + 3*m + y + 17 = 0. What is the highest common divisor of 1344 and m?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 37 + -23166165.61606?\nAnswer: -23166128.61606","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*s**3 + 300649*s + 1 - 1 - 8*s**2 - 300649*s.\nAnswer: -2*s**3 - 8*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 4 + 2. Let f be (-16)\/12*v\/(-4). Let q be -1 + 12 + 4\/f. Calculate the greatest common factor of 104 and q.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-6)\/21 - 15\/21. Let o(y) = -2*y**3 + y**2 + y + 1. Let u be o(l). Solve -3*c + 6 = -u*r, 4*r = 2*c - c - 8 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 b when two letters picked without replacement from {s: 2, p: 1, b: 2, e: 1}.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -15*d**3 + 2 - d**2 + 12 - 12 to the form y + x*d**3 + k*d + r*d**2 and give x.\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 561322634.\nAnswer: 2, 37, 149, 50909","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -28701 + 34278 = -429*w for w.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express (156233 - 1597*s - 156233 + 198*s)*(4*s**2 - 4*s**2 + s**2) as g*s**2 + y + v*s**3 + z*s and give v.\nAnswer: -1399","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*u - u - 30. What is the units digit of u?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q + 4 = 3*q. Suppose -34 + q = 5*r. Is r equal to 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30836 = 29*g - 351721. Is g a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 10 + 1)*(2 - 4 + 4)*(3 - 2*q - 12*q + 2*q).\nAnswer: 168*q - 42","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 47828, 95657, 143486, 191315?\nAnswer: 239144","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = -o**3 - 17*o**2 - 15*o + 30. Let j be t(-16). Suppose -j = -11*s + 4*s. Find the third derivative of -19*q**5 + 49 - 49 - 12*q**s + 2*q**2 wrt q.\nAnswer: -1140*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f + 0*c = 3*c - 13, c - 19 = -5*f. Suppose -3*k + k + 17 = -5*q, -k - 24 = f*q. Let o = k - 0. Put 3, o, 1 in descending order.\nAnswer: 3, 1, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2202110021 (base 4) to base 11.\nAnswer: -414561","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 111108.45 months to millennia.\nAnswer: 9.2590375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1057*q = 3569 + 77238 - 5760 for q.\nAnswer: -71","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2\/(158228\/14384 + -11)?\nAnswer: 2, 29, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f*f\/f**(2\/13))**28 assuming f is positive.\nAnswer: f**(672\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 32469485, 64938970, 97408455, 129877940?\nAnswer: 162347425","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = w - 2. Let c be o(7). Suppose -c*l + 132 + 733 = 0. What is the tens digit of l?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3257 = -679*x + 4891 for x.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 c when two letters picked without replacement from {i: 1, c: 17}.\nAnswer: 8\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Determine i so that -2106\/5*i**2 - 778383918\/5 - 2217618\/5*i - 2\/15*i**3 = 0.\nAnswer: -1053","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1007 and 19?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = 70*l - 251. Let m = -222 - -228. What are the prime factors of c(m)?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 10.064 + 4.936. What is the closest to -0.1 in 1, 4\/5, x, 2\/13?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21 - 3 = 3*s. Let i = 8 - s. Suppose 0*w - 4*w = -44. Let g(d) = d - 6. Let k(p) = 1. What is i*g(r) + w*k(r)?\nAnswer: 2*r - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + sqrt(1700) + -1 + sqrt(272).\nAnswer: 14*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {n: 2, g: 1, b: 2, s: 7}. Give prob of sequence sbb.\nAnswer: 7\/660","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1)\/45*(1 - -4) - (-24)\/(-27)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put 416, -8232, 4 in ascending order.\nAnswer: -8232, 4, 416","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(171)*3*-3 + 4*-3*sqrt(171))\/(4*-1*(sqrt(576)*-1 - sqrt(576))).\nAnswer: -21*sqrt(19)\/64","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 33575826 and 54.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1 = -2*f - 3*i, -5*i = -9*f + 12*f for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 2, -22, -3 in ascending order.\nAnswer: -22, -4, -3, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = d**3 + 250*d**2 + 4604*d + 885. Calculate y(-230).\nAnswer: -35","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -11*y - 10*y + 18*y + 29*y**3 - 8*y wrt y.\nAnswer: 174*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = -4 + 8 - 833*n**2 + n + 832*n**2 - 5. Suppose -2 + 4 = -2*k. Let t = k - 0. Let s(x) = -3*x**2 + 4*x - 6. What is t*s(j) + 4*h(j)?\nAnswer: -j**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 67*v**2 + 37*v - 35*v - 461 + 402 to r + d*v**2 + s*v and give r.\nAnswer: -59","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6725?\nAnswer: 5, 269","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = 5*b + 1. Let n(x) = -2*x + 3849 - 4*x - 3850 - 4*x. Give 3*n(h) + 5*z(h).\nAnswer: -5*h + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 239 + 124. Let g = 24 + -22. Suppose -g*b + 71 - 5 = 0. Calculate the highest common divisor of z and b.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) be the first derivative of 3\/4*j**4 - 2\/3*j**3 + 33*j + 204 + 6*j**5 + 0*j**2. What is the third derivative of g(d) wrt d?\nAnswer: 720*d + 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*w**3 + 32*w**2 - 20*w - 200.\nAnswer: -4*(w - 5)**2*(w + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2740670619?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 19\/438480 and -59\/554.\nAnswer: 121458960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 232*u**5 - 12*u**2 + 5*u wrt u.\nAnswer: 13920*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:29 PM and 9:33 PM?\nAnswer: 304","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -4 (b) -30\/13 (c) -0.1 (d) 0 (e) -1\/9\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 30074570 and 92?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + 4 + sqrt(1872) - (4 + -1 + sqrt(1872)).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 576787 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((2 - 2 - 2)*(-4 + 4 + 1) + 1 - 3 + 3)*(-237*q**3 + 41*q**3 - 102*q**3).\nAnswer: 298*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-2)\/(-11) - 162\/(-198). Which is smaller: -2\/313 or r?\nAnswer: -2\/313","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -118*r - 1393 + 331 for r.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 651232.\nAnswer: 2, 47, 433","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x = 2*h - 90, -4*x - h = -0*x - 72. Let j(y) = -4*y + 4*y + 24 + 5 + y. Let q be j(-11). What is the highest common divisor of x and q?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(192) + -1 - (sqrt(3) + sqrt(3)*-1*-4))*-6)**2.\nAnswer: -216*sqrt(3) + 1008","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.1609 + 0.3609. Sort 3\/5, w, 6\/13, -5, -0.02 in descending order.\nAnswer: 3\/5, 6\/13, w, -0.02, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 5, 37, -3\/4, -604, 10, -0.5?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Product of 56 and 44.\nAnswer: 2464","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 a when three letters picked without replacement from aaaaaaaeaaaa.\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 = 3*y, y + 27 = -2*a + 4*a. Is -4 <= a?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from bccccvccbpcbbpvbp. Give prob of sequence vvb.\nAnswer: 1\/408","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f - 23 = 5*d - 15, d + 10 = f. Suppose 3 = t - 0*t. Solve 19 - f = -3*k + 2*y, -t*k - 7 = y for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d - 17 - 27 = 0. Suppose 20 = 3*t + d. Let o(m) = -3*m. Let p(j) = -j**2 + 8*j + 1. Let n(a) = t*p(a) + 8*o(a). Factor n(l).\nAnswer: -3*(l - 1)*(l + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 444*o = 440*o + 160. Suppose c + o*c = 0. Let l = -2.6 + 0.6. Sort -4, l, c in decreasing order.\nAnswer: c, l, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) -3 (b) 0.02 (c) -17 (d) -19 (e) -2\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 19466415443 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*r**3 + 4*r**3 - 2*r**3 + 5*r**3.\nAnswer: 3*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*m - m + 2*m)*(-m + 2*m + m) + (-3*m - 3*m + 7*m)*(2*m + 2 - 2) + 0 + 0 + m**2 + 5*m**2 - 1 + 1 + m**2 + 0*m**2 - 2*m**2.\nAnswer: 15*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 26*k**5\/3 - 552*k**4 + 4012*k**3\/3 + 15536*k**2\/3 + 4094*k + 2440\/3 = 0. What is k?\nAnswer: -1, -4\/13, 5, 61","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 h when four letters picked without replacement from ehhehhhh?\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Determine a, given that 4*a**4 + 6352*a**3 - 449396*a**2 + 1714848*a - 1271808 = 0.\nAnswer: -1656, 1, 3, 64","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -5 - 164\/(-12) - 7\/((-63)\/(-6))?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.47 - 0.5. Let d = y + 0.02998. Round d to 5 dps.\nAnswer: -0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 82962\/(-1050) - (909 - 988).\nAnswer: -2\/175","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 620 minutes before 9:10 AM?\nAnswer: 10:50 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in p - 62528 + p + 62528.\nAnswer: 2*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 26300672?\nAnswer: 2, 71, 1447","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = -6049*g. Let a(v) = -2*v. Give a(l(q)).\nAnswer: 12098*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 64584246 is divided by 1776?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) be the first derivative of -n**4\/4 - 4*n**3\/3 + 3*n - 3. Let a be z(-4). Solve -2*y - a*s = -0*y - 6, 2 = 4*y + s for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4006200 rounded to the nearest 10000?\nAnswer: -4010000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 1.83 and -34.13?\nAnswer: 35.96","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = i**2 + 7*i + 4. Let c be v(-7). Suppose 0 = -j + c*k + 14, k + 4 = -k. Calculate the remainder when 26 is divided by j.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = 5*h**3 - h**2. Let u be z(1). Suppose -5*q + 60 = u*c + c, -5*q = -5*c + 30. Is 4 a factor of c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = w**2 + 12*w - 33. Suppose 3*z + 15 = -5*s + 59, -3*s = -z - 18. What is the units digit of c(s)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: (24\/(-32))\/((-2592)\/(-14400))\nAnswer: -25\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -12 - (1 + -26 + 18).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w - 1947 = 4*o, 2*w + 1959 = -3*w + 2*o. Let r = -134 - w. Let v = r + -2567\/10. Which is smaller: 0 or v?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -146*u - 7081 = 59*u - 5*j - 9536, 5*u + j = 5*j + 56 for u.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -2271.1 rounded to the nearest ten?\nAnswer: -2270","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) be the first derivative of -1\/2*p**2 + 128\/3*p**3 + 121 + 3*p. Find the second derivative of t(r) wrt r.\nAnswer: 256","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-62*(-101)\/(-9393))\/(52\/9)?\nAnswer: -3\/26","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is bb + 2?\nAnswer: bd","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*c = 124 + 164. Let v be (-1)\/(-3) - c\/18. Suppose 0 = 4*k - 4*f - 221 - 15, -156 = -v*k - 4*f. What are the prime factors of k?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1557 and 69027.\nAnswer: 207081","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = r**2 + 33*r - 177. Let h be q(-39). Solve 59*z - h*z = 6 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 6.16 - 0.115. Round y to one decimal place.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 113\/6402 and 103\/16104.\nAnswer: 1562088","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -14 (b) -1 (c) -2\/139 (d) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -2 + (0 + -2 - -11)\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = u**2 - 39*u - 215. Let b be d(-5). Solve -13*w + b*w + 8 = 0 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 59\/12390*-28*78*(-7)\/(-14).\nAnswer: -26\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 151086403 is divided by 75543196?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = 2645*x**2 - 106*x - 477. Is s(-6) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r**3 + 1854*r**2 + 911428*r + 1815432 = 0. Calculate r.\nAnswer: -402, -2, 2258","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -151393 - -137200.6. What is h rounded to the nearest 100?\nAnswer: -14200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 9901, 19798, 29695, 39592?\n\"Answer: 9897*f + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 129329540 to the nearest integer?\nAnswer: 11372","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y - 2*f = -40, 2*f + 2 + 0 = 2*y. What are the prime factors of 1\/3 + 40\/y?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4470695*i**2 - 44 - 4470695*i**2 - 2*i**3.\nAnswer: -2*i**3 - 44","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 479343174 to the power of 1\/5, to the nearest integer?\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -10.8 - -8.8. What is the fourth smallest value in o, 0.5, -4\/3, -4.8?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((35\/(-2))\/35)\/(2\/(-12))\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 50272 - 7?\nAnswer: 50264","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = -17*v + 148*v**3 + 12*v - v**2 + 18*v - 13 + 139*v**3 + 466*v**3. What is the units digit of l(1)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9*h**3 - 37*h**3 + 10*h**3 + 17*h**3.\nAnswer: -h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -27 = c - 4*c - n, -2*c = -2*n - 10. Calculate the highest common factor of c and 24.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12580 = 3595*u + 44029 + 8101 for u.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n + 5*w - 6720 = 0, -54*n - 3*w = -56*n + 2693. List the prime factors of n.\nAnswer: 5, 269","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 2311136051 - 5?\nAnswer: 2311136043","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -613 - -695. Let g = 40433175.1999805 - 40433093.2. Let y = r - g. What is y rounded to 6 decimal places?\nAnswer: 0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = -5*v + 170. Is 15 a factor of n(-20)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = g + 4. Let u be z(-3). Suppose -4*b = 6*o - 5*o, -o - 3*b = -u. Let j(w) = 11*w - 26*w + 12*w + 392790 - 392790. What is j(o)?\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) be the third derivative of m**5\/15 - 2*m**3\/3 + 14*m**2. Suppose u(d) = 0. Calculate d.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 79, 305, 677, 1189, 1835, 2609, 3505?\n\"Answer: -y**3 + 79*y**2 - 4*y + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -85\/10341756 and 20\/189891?\nAnswer: 134442828","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(((sqrt(104) - 1*sqrt(104))\/sqrt(2) - sqrt(52))\/sqrt(4) - (-6*sqrt(78)*4 - sqrt(78))\/sqrt(6)))**2*5.\nAnswer: 1347840","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -137*a**2*j**3 - 16*a*j**3 - a*j wrt a.\nAnswer: -274*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6116 - 19*b + 15*b + 6106)*(-8 + 11 - 6).\nAnswer: 12*b + 30","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 30145614?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 174580 to the nearest integer?\nAnswer: 418","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Divide 7030936 by 44.\nAnswer: 159794","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = 106*k - 623. Let s be c(6). Solve -b + s = -4*o, -3*b + 10 = -2*b - 3*o for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.08 - 0.18. Let x = 1 - 1. What is the smallest value in p, -4, x?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ssgwesssssssssssg. What is prob of picking 3 s?\nAnswer: 143\/340","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = 7*q**3 + 2*q**2 - 4*q + 2. Let y be c(2). Let m be 2\/4 + 74\/4 + 2. Suppose x - m = y. Is x a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -87 + 90.9. Let s = n - 3.8. Let y = 0.8 + 0.2. What is the nearest to y in s, -2\/13, -2?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 18074 - 18296. Which is bigger: w or -221?\nAnswer: -221","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(-4)*d*d\/(d**(2\/15)\/d)*d**(2\/21)\/((d\/(d*d**(-7\/2)))\/d))**(4\/17) assuming d is positive.\nAnswer: d**(-1486\/1785)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-7)\/(((-168)\/(-12))\/(-14)).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 818.3576 decades to months.\nAnswer: 98202.912","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -114*a + 91 = -101*a. Solve -5*w - j + 15 = 0, 3*w + 2*j - a = -5 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 145\/27805284 and -59\/27.\nAnswer: 83415852","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) be the first derivative of -d**4\/4 - 17*d**3\/3 - d**2\/2 - 9*d - 591. Calculate i(-17).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4160 divided by -8\nAnswer: -520","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h - 4*s = -12, 4*h - 2*s = -0*s + 24. Suppose h*l = 1 + 19, 0 = -2*w + l + 2. Solve -3*j = 4*n - 5*n + 1, -12 = -w*n for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 36487 is divided by 18085?\nAnswer: 317","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = -t**3 - 11*t**2 - 14*t + 38. Let d be a(-9). Let x = -2.7 - -2.4. Let i = x + -0.1. Sort 3, -3, d, i in descending order.\nAnswer: 3, d, i, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = -17*k**2. Let w(m) = 9*m**2. Let i(c) = 30*c**2. Let l(a) = -2*i(a) + 7*w(a). What is z(l(o))?\nAnswer: -153*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = 8 + 10 - 13*r**2 - 3 - r**3 - 22*r. What is the remainder when o(-11) is divided by 8?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = -8*a - 2. Let b(g) = -g - 1. Let u(o) = -2*b(o) + n(o). Let t be u(-2). What is the highest common factor of t and 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (15 - -3 - 1) + 5 + -30 + 15.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 6072?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a = -4*t - 4, -2*a + 3*t - 8 = -4*a. Let c = -6 - -6. Factor c - 2\/7*u**a + 2\/7*u**3 - 2\/7*u**5 + 2\/7*u**2 + 0*u.\nAnswer: -2*u**2*(u - 1)*(u + 1)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 340*v**2 + 22*v**3 - 340*v**2 + 2 as r + m*v**2 + i*v**3 + s*v and give s.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) be the first derivative of f**6\/480 + 29*f**5\/120 + 28*f**4\/3 + 196*f**3\/3 + 145*f**2\/2 + 148. Let y(d) be the second derivative of z(d). Factor y(j).\nAnswer: (j + 2)*(j + 28)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 10924 is divided by 2731?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 685462 is divided by 178?\nAnswer: 162","meta":{"dup_signals":{},"source":"numbers__div_remainder_test"},"subset":"dm_maths"} +{"text":"Question: Solve 46*c - 425 = -i + 32, 3*i = -4*c + 31 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 divided by -1294?\nAnswer: 5\/1294","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 863494285 divided by -172698857?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -3780 divided by -2?\nAnswer: 1890","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express (2 + 1 - 4)*(-9*s**4 - 2*s**4 + s**4) - 484*s**2 + 484*s**2 - 93*s**4 + 22*s**2 - 22*s**2 - 8*s**4 as r*s**2 + m + j*s**3 + o*s + t*s**4 and give t.\nAnswer: -91","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = -7*s - 9. Is w(-14) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -1 and 764.6.\nAnswer: -764.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 5461 and 3096?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5847504437?\nAnswer: 5847504437","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 66922?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 194*w**5 - 3*w**3 - 121*w**2 + 4*w wrt w.\nAnswer: 11640*w**2 - 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 199 is divided by 67.\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = 2 - 105*v + 104*v - 2. Let b(i) = -i. Determine u(b(x)).\nAnswer: x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 241.2 - 241.213368. Round x to 3 decimal places.\nAnswer: -0.013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence offo when four letters picked without replacement from fforfofrorooorro.\nAnswer: 3\/260","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/8 of a micrometer in nanometers?\nAnswer: 875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 7*o - 2*o - 5, 4*b - 2*o - 10 = 0. Suppose 2*y - 2*k + 0*k = 0, -b*k + 10 = 2*y. Solve y = 2*a + 4 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = -v**2 + 10. Let q be u(0). Let j = q + -4. Is -291*(-3 + 16\/j) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.065162376 to 5 dps.\nAnswer: -0.06516","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -0.445, 26, 1, -2, 4, 0.4, -0.4?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 29\/5 of a millennium in decades?\nAnswer: 580","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-24)\/(-21) + (-22)\/154 - (-12)\/(-15). Let 6\/5*o**3 + 0*o + 0 - 9\/5*o**2 - g*o**4 = 0. What is o?\nAnswer: 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-76)\/(-32) - -1 - (148\/(-32) - -5). Suppose -y + 27 = 5*d, y + 27 = 4*d - 0. Let b be 2\/(-4) + d\/12. Solve b = -t*v + 5*v - 10 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 682 minutes before 7:18 AM?\nAnswer: 7:56 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r + 5 = 5*f, 4*f - 2 = 4*r - 14. Let x = 0 - -3. Let u(w) = -x*w**f - 6*w + 6*w. Let c(g) = 2*g. Give u(c(t)).\nAnswer: -12*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rx when two letters picked without replacement from {j: 1, x: 4, q: 3, y: 1, r: 8}?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 20093 - 261208\/13. What is the third biggest value in -1\/12, n, -4, 1, 6?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = -35*n - 40. Let g(b) = -b + 1. Let d(w) = -30*g(w) - y(w). Is d(5) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3233 = 4*j + 397. Is j a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -2.4 - 88.6. Let a = u + 41. Let n = 50.058 + a. Round n to 2 dps.\nAnswer: 0.06","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) be the second derivative of -m**5\/20 + m**4\/6 + m**3\/6 + 9*m**2 + 9*m. Let l be f(0). Find the common denominator of -63\/2 and ((-6)\/2)\/(14\/l).\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 814616?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 27*g**2 - 23 - 10*g**2 - 3*g**2 - 15*g**2.\nAnswer: -g**2 - 23","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2)\/(((-2)\/(-6))\/((308\/294)\/22)).\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -31*p + 4*p**2 - 26*p + 57*p.\nAnswer: 4*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(4*sqrt(38)\/sqrt(2) + -1).\nAnswer: -3 + 12*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = h**2 - 41*h - 178. Let v be y(45). Solve 0 = -f + v*q - 7, -30*f - 5*q + 28 = -29*f for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.277 - -88.277. Let d = 89.8 - q. Put d, -3, 5 in decreasing order.\nAnswer: 5, d, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*n**3 + 78*n**2 - 2570*n + 6954.\nAnswer: 2*(n - 19)*(n - 3)*(n + 61)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (135\/(-15) - 7) + (-8 - 7)?\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__mixed_test"},"subset":"dm_maths"} +{"text":"Question: Let k = -4 - -21. What is the remainder when 67 is divided by k?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 13*g**2 - 25*g**2 + 12*g**2 + 3*g**2 + 7*g**2.\nAnswer: 10*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -55 + 51 - 4*r**2 - 98 + 73.\nAnswer: -4*r**2 - 29","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = -9*b + b - 10 + 19 + 1 + b**2. Let t be j(7). Solve -6*d = -t*d for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = -218*a + 3885. Let v be f(-112). Calculate the highest common divisor of 91 and v.\nAnswer: 91","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l = 3*x - 13 + 16, 0 = 2*l + 4*x + 4. Solve -8*v - 64 + 16 = l for v.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kxnk when four letters picked without replacement from {l: 2, o: 2, n: 3, r: 1, k: 2, x: 2}.\nAnswer: 1\/990","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 o, 1 b, and 1 u when four letters picked without replacement from {b: 1, d: 3, u: 4, o: 3, a: 9}.\nAnswer: 4\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_test"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2187334736?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-7)\/2 + 2)*(-2)\/(-12).\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 42\/11, 0.4, 0, -0.4, -4528\/7, 2\/11?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1026 and 1125807.\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 543 or 547?\nAnswer: 543","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -633, -142, 347, 834?\n\"Answer: -j**2 + 494*j - 1126","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 37711 + 13008. List the prime factors of h.\nAnswer: 67, 757","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4072946443 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 481.031 - 481. Which is the biggest value? (a) u (b) 4 (c) -4\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*f**2 - 532*f - 35378.\nAnswer: -2*(f + 133)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q + 2*q + 5*h = 118, q + 4*h - 117 = 0. Is q prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6961*d = -1721*d + 494874 for d.\nAnswer: 57","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d + 3*d + 16 = 2*b, -8 = -b - 5*d. What is the units digit of 563\/b + (-6)\/16?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 48*u - 57 = -80 - 361 for u.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1148 = 2*k - 0*a + a, 1164 = 2*k - 3*a. Suppose -6*c = 3*c - k. Does 4 divide c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 16 - 22. What is the lowest common multiple of 18 and (-192)\/(-40)*(-20)\/a?\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xxez when four letters picked without replacement from {z: 1, x: 2, c: 1, e: 2}?\nAnswer: 1\/90","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 31076 divided by -7769.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = -4*j + 9. Let l(c) = c**2 - c + 1. What is -4*l(i) + o(i)?\nAnswer: -4*i**2 + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1503353949 to the nearest integer?\nAnswer: 1146","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 3\/50 of a kilogram?\nAnswer: 60","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*k**2 + k - k)*(-683*k - 1278*k - 1658*k).\nAnswer: -7238*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -7, -5, -1\/4, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.4, 57, 0.3, -17, -4, 7 in increasing order.\nAnswer: -17, -4, 0.3, 0.4, 7, 57","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -596, -1364, -2302, -3416, -4712?\n\"Answer: -p**3 - 79*p**2 - 524*p + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*x + 0*x = -12 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q = 8*q - 84. Calculate the greatest common divisor of 518 and q.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 1657.2035 to the nearest one hundred.\nAnswer: 1700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert 969321.5ug to tonnes.\nAnswer: 0.0000009693215","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = -9*j + 9. Let r(t) = -8*t + 13. Let b(u) = -2*u + 3. Let l(c) = -9*b(c) + 2*r(c). Let q(m) = i(m) + 6*l(m). Determine q(3).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find r such that 3*r**4\/7 - 897*r**3\/7 + 1122*r**2 - 6960*r\/7 = 0.\nAnswer: 0, 1, 8, 290","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*y**2 + 352*y - 7744.\nAnswer: -4*(y - 44)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand 1 - 1 + 12*x**2 + 78*x + 111*x - 243*x + (2 - 3 - 1)*(3*x**2 - 3*x**2 - 2*x**2) - 2*x**2 + 2*x**2 + 4*x**2.\nAnswer: 20*x**2 - 54*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s - 2*n = 32, -n - 3 = -s + 6. Suppose -s = 4*c - 35. Calculate the common denominator of 127\/18 and (-2 - -13)*c\/(-4).\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 328264477175 and 1.32.\nAnswer: 328264477176.32","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in three sixteenths of a century?\nAnswer: 225","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 26*r**2 + 496 wrt r?\nAnswer: 52*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 37, 13, -11, -35?\n\"Answer: -24*k + 61","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = 52*r**2 - 13*r - 37. Let m be f(-4). Let n = m + -481. What are the prime factors of n?\nAnswer: 2, 3, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 d when four letters picked without replacement from {d: 15, a: 4}?\nAnswer: 455\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put 13, 5\/18, 0, 2\/3 in decreasing order.\nAnswer: 13, 2\/3, 5\/18, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -5.51 + 5.35436. Round n to 2 decimal places.\nAnswer: -0.16","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 30032281 a multiple of 565?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 1 (b) -4 (c) 0.5 (d) -33 (e) 31 (f) -0.16\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) be the first derivative of -c**4\/3 + c + 5. Let b(g) be the first derivative of r(g). Let u(s) = -s**2. Give u(b(v)).\nAnswer: -16*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 885.3156 + 4749\nAnswer: 5634.3156","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -4*21*-5 - 0\/(-248). Calculate the greatest common factor of q and 45.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine k so that -2*k**2\/19 + 18*k\/19 = 0.\nAnswer: 0, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 - (4 - -13) - (-2 - -5).\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c = -3*f - f - 57, -3*c + 3*f + 171 = 0. Let w = 55 - c. Let v(r) = r + 4. Calculate v(w).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 21547882 to the power of 1\/5, to the nearest integer?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u - c + 17 = 0, 2*u = 6*u + 3*c - 31. Let d = -50 - -50. Solve 2*y = u*y, d = v - y + 4 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 94 and 51765?\nAnswer: 4865910","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:04 PM and 5:05 AM?\nAnswer: 661","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19*u - 20 = 14*u. Suppose -u*f = -5*f. Suppose 6*r - 5*r - 11 = f. What is the smallest common multiple of r and 12?\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -9847, -9819, -9769, -9691, -9579, -9427, -9229, -8979?\n\"Answer: g**3 + 5*g**2 + 6*g - 9859","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = -z**2 + 6*z - 5. Let x be i(4). Find the second derivative of -3*q - x*q**3 + 0*q**3 + 4*q**3 wrt q.\nAnswer: 6*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -490*p + 240*p - 377*p to h + q*p and give q.\nAnswer: -627","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4770?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 22 divided by 5?\nAnswer: 22\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 65*t = 357 + 748 for t.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30*d = -277 + 337. Which is smaller: d or -21\/20?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -50e1a9 (base 16) to base 2.\nAnswer: -10100001110000110101001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 200096665.\nAnswer: 5, 23, 29, 59999","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -8 + 10 + 3 + -10 - 3 - -26\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = -9*x + 7. Let w(n) = -5*n + 4. Let k(l) = 4*u(l) - 7*w(l). Let a(p) = -p. Let s(f) = f + 0*f + 2*f + f. Let r(g) = 16*a(g) + 3*s(g). Give k(r(t)).\nAnswer: 4*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 34*g = 2*w - 6*w + 100, 5*g = 4*w + 56. Let a = -20\/47 + 1052\/705. Factor -2\/3*t**3 - 8\/15*t - 2\/15*t**g - a*t**2 + 0.\nAnswer: -2*t*(t + 1)*(t + 2)**2\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*d**2 + 1 - 1 - 182*d + 137*d as t*d**2 + r + v*d and give v.\nAnswer: -45","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 6 - -1. Suppose -2*z = -t*z + 260. Suppose -7*f + 3*f + z = 0. Is f composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = 3*x - 3*x - 4*x - x**2 - 3*x. Let u(v) = 3*v**2 + 19*v + 1. Let c be u(-6). Give r(c).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 16519.\nAnswer: 16519","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -369, -739, -1109?\n\"Answer: -370*o + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 e when two letters picked without replacement from eecceee?\nAnswer: 10\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -445*z**3 - 241*z**3 - 429*z**3 - 908*z**3 + 314*z**3.\nAnswer: -1709*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 6902 and 112235802.\nAnswer: 238","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 10.1784 rounded to two dps?\nAnswer: 10.18","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {e: 2, y: 9, o: 3, u: 1, l: 1, t: 2}. What is prob of sequence yyt?\nAnswer: 1\/34","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*j = -v + 15, -2*v + j = 5*j + 6 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 154*r**4*x - 25*r*x - 2*x wrt r.\nAnswer: 1848*r**2*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -208*c + 2845*c - 313794 = -1237*c for c.\nAnswer: 81","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand -49 + 97*o**3 + 62 - 14 + (0*o - o + 0*o)*(-2*o**2 - 3 + 3).\nAnswer: 99*o**3 - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = -2*f**2 - 8*f - 18. What is u(-4)?\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 83\/1062 and -143\/7728174.\nAnswer: 7728174","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 205 divided by 41.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -30*n + 10*n = -20 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 657981487 to the power of 1\/2, to the nearest integer?\nAnswer: 25651","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 46278 is divided by 238.\nAnswer: 106","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: (-4)\/((16\/28)\/1)\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (z**2 - 2*z + 2*z + (-4*z**2 - 8*z**2 + 5*z**2)*(2 - 11 + 3))*(0*z - 4*z + 5*z - 1) to the form i*z**2 + v*z + d + l*z**3 and give d.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 7 in 0.04, 5, 0.09?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -10*u**2 - 3 + 19*u**2 - 8*u**2 + u**3 + 1 - u**4 to the form s*u**4 + w*u**3 + r*u + t + x*u**2 and give s.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 18640 is divided by 113.\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.028 + 23.028. Let n = 22.5 - v. Let b = 14 + -27\/2. What is the second smallest value in 5, b, n?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -47360 (base 8) in base 5?\nAnswer: -1121313","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -7.605 + -0.395. Put -0.4, 2, w, 1 in increasing order.\nAnswer: w, -0.4, 1, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -11650 + 11650 + 11*s + 127*s in the form d*s + c and give d.\nAnswer: 138","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23 = 3*p - 2*j - 16, 3*j + 65 = 5*p. Suppose 0 = 7*b + 9*b + b. Suppose 2*d - 8 = 3*m + 9, -4*d + m + 49 = b. Are d and p equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2156474 is divided by 1122.\nAnswer: 1112","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 3\/(-15) - 22\/(-10). Suppose 4*v + 16 = -5*t, -c*t + 0*t = -4*v - 16. Sort -3, -5, v.\nAnswer: -5, v, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 27584179 to the nearest integer?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.007533426 to 4 dps.\nAnswer: 0.0075","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) be the first derivative of -w**3\/3 - 7*w**2\/2 - 4*w + 16. Calculate k(-5).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = -38*i - 1260. Calculate f(-21).\nAnswer: -462","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -2287 - 1459?\nAnswer: -3746","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*j + 1 = -13 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -4276 - -3425.7. Let v = -805 - u. Round v to 0 dps.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hwoo. What is prob of picking 1 o and 1 w?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (28*s + 16*s + 11*s)*(4 - 6 - 9) to b*s + n and give b.\nAnswer: -605","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 170954 and 12?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert -f457a (base 16) to base 10.\nAnswer: -1000826","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 2 (b) 0.0409 (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*v - v + 14 = 0. Suppose -8 = 24*q + 1 + 39. Let t = v - q. Does 16 divide t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 30140 is divided by 153?\nAnswer: 152","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or 10\/6996111?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = -k**3 - 4*k**2 + 1. Let i be z(-3). Let c be i\/(-6)*3\/2. What is the third derivative of 0*l**c + 0*l**2 + l**2 + l**4 wrt l?\nAnswer: 24*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = h**3 - 9*h**2 - 5*h - 3. Let q be l(10). Find the third derivative of q*x**2 - 41 + 74*x**3 + 83 - 42 wrt x.\nAnswer: 444","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 80 and 3579?\nAnswer: 286320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = -3*r**3 - 11*r**2 + 7*r + 5. Let m be b(-5). Let a be (12\/10)\/((-5)\/(-175)). What is the highest common divisor of a and m?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 20 * 0.3.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 172 minutes before 12:28 PM?\nAnswer: 9:36 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 32*d + 160404 = 89*d - 89598. What is the hundreds digit of d?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 3097 + -532. What is the tens digit of n?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert ac (base 13) to base 12.\nAnswer: ba","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: (-2*2)\/((-1)\/(-4)*36)\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = i**2. Let r(p) = -p**2 - 30*p. Determine k(r(f)).\nAnswer: f**4 + 60*f**3 + 900*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 135, -3 in descending order.\nAnswer: 135, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 46588697 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-20)\/108*(-13 - 34\/(-4)).\nAnswer: 5\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = -8*l**2 - 15*l + 37. Let h(g) = -10*g**2 - 16*g + 36. Determine -5*h(f) + 6*n(f).\nAnswer: 2*f**2 - 10*f + 42","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 250, 448, 636, 808, 958?\n\"Answer: -b**3 + b**2 + 202*b + 48","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -353.41 rounded to the nearest 10?\nAnswer: -350","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-65)\/(-130)*-1*1. Let a = 3 - 2.8. What is the nearest to 0 in n, a, -4?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l**5 - 374*l**4 - 40125*l**3 - 621500*l**2 + 51955856*l + 160407744 = 0. Calculate l.\nAnswer: -164, -71, -3, 28","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 34470 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -208 divided by 104\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-18)\/(-63) + 2\/(-7). Suppose -2*q + 5*g - 7*g + 54 = r, 0 = 3*q - 5*g - 121. What is the remainder when q is divided by 9?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 341 is divided by 85.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u + 3*u = 20. Suppose 0 = -u*w - o + 5, 3*w = -2*o - 4 + 14. What is the second biggest value in -1\/2, 5, w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 48535, 97084, 145659, 194272, 242935, 291660, 340459?\n\"Answer: 2*o**3 + o**2 + 48532*o","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 12316.\nAnswer: 2, 3079","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((6*16)\/(-2)*9740\/8766)\/(22\/(-33)).\nAnswer: 80","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put together 0.57 and -395564.\nAnswer: -395563.43","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -69*f**4 - 3*f**3 - 1388*f - 1025489.\nAnswer: -276*f**3 - 9*f**2 - 1388","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 121 (base 6) to base 8.\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = -n**2. Let j(s) = 34*s**2 - 6*s + 12. Let i(d) = 102*d**2 - 17*d + 34. Let m(b) = 6*i(b) - 17*j(b). Determine m(w(h)).\nAnswer: 34*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 1045152288 a multiple of 290?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 70578355 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 187243?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.2, -2\/11, -0.02, 5, -2\/8711 in increasing order.\nAnswer: -0.2, -2\/11, -0.02, -2\/8711, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24*a - 700 = -4516. Which is smaller: a or 160?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = 2*v**2 - 5*v**2 + 2*v**2 + 2*v**2 - 4. Let s = 20 - 4. What is the smallest common multiple of j(4) and s?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) be the third derivative of -22*k**2 + 0 + 0*k + 1\/24*k**4 + 0*k**3. Let n(v) = 12*v. Calculate n(d(q)).\nAnswer: 12*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -703\/3 + 704\/3. Let -3 - i*y**2 + 2*y = 0. What is y?\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*d + 28 - 25 = 0 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -2\/10502893 and -9\/217.\nAnswer: 73520251","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.09 - -0.36. Let x = m - 0.269952. What is x rounded to five dps?\nAnswer: 0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*y + 3*h - 2770, 3*y - 5*h - 958 = 738. Let k = y + -364. What is the remainder when k is divided by 14?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-42)\/(-63)*(-37 - (2 - 3)). Let p(a) = a**3 + 23*a**2 - 25*a - 21. Let s be p(w). Solve -4*i + 2*u + 8 = 0, -7 - 1 = -s*i + u for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = c**2 - 2*c - 3. Suppose 0 = -33*t + 34*t + 1. Let z be i(t). Suppose r + 120 + 47 = 2*f, f - r - 82 = z. What is the tens digit of f?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 12095 is divided by 5987?\nAnswer: 121","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: (-18 - -13) + (1 - -10)\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16*l - 528 = -82*l for l.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:39 PM and 4:16 AM?\nAnswer: 277","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -14, -36, -66, -104, -150?\nAnswer: -204","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from zwwzzwhzzwhwwwzzizi. What is prob of picking 2 w and 1 i?\nAnswer: 14\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from xxnnxxnnpppxppx. Give prob of sequence nnp.\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*s = 138*b - 135*b - 1, 0 = 6*b - 3*s + 12 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*c**5\/3 - 12*c**4 + 50*c**3 - 52*c**2\/3 - 80*c = 0.\nAnswer: -1, 0, 2, 5, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((b*b\/(b\/b**(23\/2)*b)*b)\/b)\/b)**(3\/19) assuming b is positive.\nAnswer: b**(63\/38)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 13 + (18 - 6) + -8 + -7\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-4)\/(-6))\/(3*2\/378). Let f be (-3)\/(3\/q*6). Let r(h) = -2*h**2 - 9*h + 6. Determine r(f).\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 121\/48 and 1\/12?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(2\/3))**(13\/3)*h\/(h*h*h\/(h*h**(-2\/5)*h))*h**8*(((h**(2\/5)\/h*h)\/h)\/(h**(-3)*h))**(1\/19) assuming h is positive.\nAnswer: h**(9031\/855)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1263393 + 868840. Let r = x - -394579.00049. Let f = -26 + r. What is f rounded to four decimal places?\nAnswer: 0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -822 + 362. Suppose 5*t - 3*u = -165, 3*t = -2*u - 3*u - 65. What is the units digit of 9\/2*m\/t?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 39755*t**4*y + 2*t*y - 61*t - 705*y wrt t?\nAnswer: 477060*t**2*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 2168 + -1763. Is 81 a factor of g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 8932 + -8771.84. Let n = s + -160. What is the third smallest value in -1, 5, n?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 7 - 6 - 68\/2. Let s = 23 - z. List the prime factors of s.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (9\/(-15))\/((-282)\/188)*-9.\nAnswer: -18\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = -2*a. Let k(m) = 2 + 3*m - 2 - 12*m. Determine k(p(v)).\nAnswer: 18*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z = -s + 5, -4*s + 3*s = z - 5. Suppose 68 = 3*w - 2*d, 5*d - 155 = -s*w - 0*d. Suppose j + w = 2*j. Is 13 a factor of j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 2278201.31 to the nearest 10000.\nAnswer: 2280000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-2)\/(-3))\/((-3)\/((-63)\/(-91))).\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:02 PM and 7:18 AM?\nAnswer: 556","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.02 - -0.04. Let u = s + 0.98. Which is the nearest to 1? (a) u (b) -1 (c) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 20011121222202 (base 3) to base 9\nAnswer: 6147882","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor 15*n**2 - 30086540*n - 80230880.\nAnswer: 5*(n - 2005772)*(3*n + 8)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) be the second derivative of z**3\/3 - 6*z**2 + 8*z. Let r be a(6). Suppose 5*s = -3*j + 308, 2*j + 2*j - 4*s - 368 = r. List the prime factors of j.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = -312*z**2 + 163243*z - 35049. Calculate o(523).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 11191493*a**5 - 25632957*a wrt a.\nAnswer: 223829860*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*f = 46 - 7. Differentiate 243 - 16*k**f - 19*k**3 - 66 wrt k.\nAnswer: -105*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 6815 by -5.\nAnswer: -1363","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is u in -135*u + 15*u**2 - 6*u**2 - 5*u**3 + 36*u**2 + 135 + 0*u**2 = 0?\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*j - o - 204, 0 = -j + 5*j - 5*o - 159. Let n = -37 + j. Find the second derivative of f + f - 43*f**4 + 49*f**n wrt f.\nAnswer: 72*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 327, 326, 309, 270, 203, 102, -39?\nAnswer: -226","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = 2*p**3 - 112*p**2 - p + 164. Let h be l(56). Calculate the greatest common factor of h and 1161.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 4 in -123, -2\/11, 0.0405, -7, 2, 1\/7?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sum 433179 and 0.0638691.\nAnswer: 433179.0638691","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = -6*y**2 - 2*y + 2. Let v(k) = k**2 - 1. Suppose 0 = 3*b - 5*b - 4*m + 8, 2*b + 16 = 2*m. Give b*v(l) - i(l).\nAnswer: 2*l**2 + 2*l + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -1*-68\nAnswer: 68","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is -13025\/7 >= -1860?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = 1. Let t(p) = 4*p + 4. Let b(z) = 4*c(z) - t(z). Suppose 12*v = 9*v. Let s(d) = 0*d - d - d + v*d. Determine b(s(r)).\nAnswer: 8*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = -13*j - 1. Let s be t(-2). Let p(w) = -6*w**2 + 39*w - 15. Let n = -37 + 43. Let l be p(n). Solve -5*y = -4*r - 20, 5*r = l*y + y - s for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 3 + 1)*(1 - 4 + 1)*(-755*x + 406*x + 2352*x - 1 + x + 1 + (-2*x + 4*x - x)*(2 - 1 - 2) + 2*x + x - 5*x + 0 + 0 + x).\nAnswer: -8008*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -89*i = -87*i. Suppose z - 3 = i, -26*m + 29*m = 2*z + 78. Solve -18 = 2*v - m for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ppb when three letters picked without replacement from {s: 2, b: 1, p: 2, l: 1}?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 584 minutes before 12:37 AM?\nAnswer: 2:53 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = 2*d - 2*d + 7*d. Let b(o) be the first derivative of 2*o**3\/3 - 47. What is s(b(z))?\nAnswer: 14*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Divide -19132521 by 6377507.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = -72335*u. Let y(i) = 2*i - 514. What is y(p(m))?\nAnswer: -144670*m - 514","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -2223, -4633, -7041, -9447?\n\"Answer: k**2 - 2413*k + 189","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 252 minutes before 12:57 PM?\nAnswer: 8:45 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 41 minutes before 10:12 AM?\nAnswer: 9:31 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) be the third derivative of p**8\/336 - p**6\/8 + p**4\/6 + p**3\/2 + 20*p**2 - p. What is the second derivative of v(j) wrt j?\nAnswer: 20*j**3 - 90*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5010.3 weeks to hours.\nAnswer: 841730.4","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 5 (b) 195\/7 (c) 0 (d) -4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 410 minutes before 9:06 AM?\nAnswer: 2:16 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = -2*x**3 + 1 - 3*x**2 - x + 9*x**2 - x + x**3. List the prime factors of o(3).\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -0.1284043 and 7465.\nAnswer: 7464.8715957","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 2872146882 to the power of 1\/6, to the nearest integer?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 10868415\/6721 - -5485\/517. Solve i*x + 136\/13*x**3 - 2\/13*x**4 - 3036\/13*x**2 + 24334\/13 = 0.\nAnswer: -1, 23","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 40\/22 + 2 + (-34)\/(-187)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0*o - 8*o + 0*o)*(8*o - 11*o + 0*o) to the form f*o + b + j*o**2 and give j.\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does 75 divide 7312174?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (3 + -2 - 2) + 5. Suppose 4*c - 116 = -2*n, -52 = -6*c + y*c - 4*n. Suppose v - 6 = c. List the prime factors of v.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:51 PM and 9:45 PM?\nAnswer: 414","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -1.3+2701\nAnswer: 2699.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 71 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = 5*k**2 + 40*k + 11. What is the least common multiple of 49 and h(-9)?\nAnswer: 392","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4178404 is divided by 11704?\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -28221000 rounded to the nearest one million?\nAnswer: -28000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*l + 0*l - 2*l**3)*((0 - 1 + 0)*(6 - 2 - 3) - 7 + 1 - 2).\nAnswer: 18*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = 6*z. Let g(d) = 2*d + 5. Let f(b) = 3*b + 7. Let o(k) = 5*f(k) - 7*g(k). Determine 12*o(h) - t(h).\nAnswer: 6*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Divide -11969 by -2.\nAnswer: 11969\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 0.8 * 153\nAnswer: 122.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -1 divided by -46\nAnswer: 1\/46","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2952135116?\nAnswer: 2, 7, 105433397","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(500)*1 - -2*(sqrt(5) + 0) - (-5 + sqrt(5)*-1*2).\nAnswer: 5 + 14*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -5*i**2 + 680*i*q**3 - q**3 + q + 13 wrt i.\nAnswer: -10*i + 680*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -1047000 rounded to the nearest 100000?\nAnswer: -1000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -37 - n**2 + 38 + 37 + 75.\nAnswer: -n**2 + 113","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 980?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = q**3 + q**2 - q + 1. Let g(p) = p**3 + 3*p**2 - 3*p + 3. Give -g(a) + 3*t(a).\nAnswer: 2*a**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21 + 11 = -2*u. Suppose -4*q = -3*p + 64 + 248, 5*p - u*q - 520 = 0. What is the tens digit of p?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1098*m**2 - 46*m**3 + 4593*m**2 - 3495*m**2.\nAnswer: -46*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8510*m + 850 = -8476*m for m.\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = 20*h. Let t(z) = 2*z - 43. Calculate k(t(s)).\nAnswer: 40*s - 860","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor -t**3\/2 - 8*t**2 - 10*t + 200.\nAnswer: -(t - 4)*(t + 10)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*k**4 + 4*k**4 + 0*k**4 + (-3*k**3 + 0*k**3 + 2*k**3)*(-4*k + k + k) + 5*k**4 + 1376*k**3 - 1376*k**3 - 64 - 10*k**4 + 64.\nAnswer: -2*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 238ba03 (base 12) in base 15?\nAnswer: 915d03","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1103351723?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-11)\/(-2) + 2\/4. Let k = -6 + z. Which is the closest to 0? (a) 3 (b) k (c) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 8820964?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = -5*j - 7. What is the tens digit of c(-5)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 5 + -9. Suppose -j + 36 = -2*j. Let d be (-2)\/j*-2*1. Sort d, u, 0 in ascending order.\nAnswer: u, d, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g = n - 106, n + 0*g - 118 = 5*g. Calculate the remainder when n is divided by 26.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -36 - (5\/(-2) + 2)*2. Let n = h + 37. Let l be (-9)\/(-9)*(3 + (2 - n)). Sort -3, 5, l in descending order.\nAnswer: 5, l, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 1059742280*b**2*k**3 + 41147049*b**2 + b*k**2 - 8*k**2 wrt k?\nAnswer: 6358453680*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n - 204788 = -4*o, -2*o - 4*n - 52383 = -154773. What are the prime factors of o?\nAnswer: 51199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of m**3*n - 61*m**3 + 3*m**2*n**2 - 7*m**2*n - 21*m*n**2 - 174*n**2 wrt m.\nAnswer: 6*m*n - 366*m + 6*n**2 - 14*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -336*h + 6628 - 7972 = 0 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -17 + 41. Does 16 divide o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence aa when two letters picked without replacement from aaapaap.\nAnswer: 10\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 444742 is divided by 20?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence exgo when four letters picked without replacement from {x: 2, o: 4, n: 2, e: 1, g: 1, p: 2}?\nAnswer: 1\/1485","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is (-85)\/2*(-1 + -1) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -3.76 + 3.834. Let m = -0.1339684 + 0.0599615. Let u = m + q. Round u to six decimal places.\nAnswer: -0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*j + 113 + 147 = 367 + 334 for j.\nAnswer: -63","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 154*1\/(-4)*((-728)\/(-49))\/(-26)?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is (-14 - 645\/(-45))\/((-1)\/(-64101)) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 100100 (base 2) to base 15.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*i**3 + 4*i**3 - 3*i**3)*(-4*i + 5*i - 2*i)*(3 + 10 - 9) - 3*i**4 - 4*i**4 + 2*i**4.\nAnswer: -21*i**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 49770 and 168?\nAnswer: 199080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -h + 2*d + 9, -4*d - d + 15 = 5*h. Suppose -4*t + 83 = -q, -2*q = h*t - q - 97. Solve 3*v - t = -2*v for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -10*l**6*q + 9*l**5*q + 36*l**2*q - l**2 + l wrt l.\nAnswer: -1200*l**3*q + 540*l**2*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1687920 and 846124.\nAnswer: 659976720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 49*c - 44*c - 4080. Let m = -4078\/5 + c. What is v in 12\/5*v**3 - 12\/5*v + 16\/5*v**2 - 18\/5 + m*v**4 = 0?\nAnswer: -3, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -8? (a) -0.1 (b) -2\/5 (c) 0.165\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -155*q**3 - 3*q**2 + 151*q?\nAnswer: -930*q - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = -4*q. Let w(p) = 1707988*p. What is w(z(r))?\nAnswer: -6831952*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*h - 5*h + 22640 = 0. Suppose 5*a - 3*k - 7131 = 0, 1450 + h = 2*a + 3*k. Suppose a + 489 = 9*m. What are the prime factors of m?\nAnswer: 3, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) be the third derivative of b**7\/1680 + 7*b**6\/960 - 17*b**5\/480 + 3*b**4\/64 + 59*b**2. What is g in t(g) = 0?\nAnswer: -9, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1173869171 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = -6448*d + 310. Let b(s) = 124*s - 6. What is -310*b(p) - 6*t(p)?\nAnswer: 248*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ooooooo. Give prob of picking 4 o.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 38684?\nAnswer: 2, 19, 509","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 121 (base 3) in base 16?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 48469 and 57?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -67\/8610 and -31\/786.\nAnswer: 1127910","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 305 times 14049?\nAnswer: 4284945","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 4303 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (10\/2*(-2)\/(-10))\/1. What are the prime factors of ((-88)\/10)\/(y*(-4)\/40)?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 84*f = 94*f - 170. Calculate the remainder when 167 is divided by f.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -38\/31 and 43\/246.\nAnswer: 7626","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 39898 from -151308764.\nAnswer: -151348662","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o*o**(-7)*o)\/(o\/(o**(-2)*o*o)))**(-10) assuming o is positive.\nAnswer: o**60","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o**4\/7 + 4127*o**3\/7 - 2066*o**2 + 14467*o\/7 - 4134\/7 = 0. What is o?\nAnswer: -2067, 1\/2, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.4 and 0.124?\nAnswer: 0.0496","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b = -3*b + 4. Let c(h) = 9 + h + b - 2. List the prime factors of c(-9).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -75 divided by -1143605?\nAnswer: 15\/228721","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((((-98679)\/(-74))\/127)\/(9\/42))\/(-4)?\nAnswer: -49\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d + 12*c = 15*c - 15, -5*d + 15 = 3*c. Let m be ((-4)\/3)\/((-2)\/3). Suppose 3*j = -3*a - 9, 4*a + 5*j + 15 = m*a. Solve a = -d*q - 5*q + 10 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = 6*k. Let c(u) = -4960*u - 1089. Determine s(c(x)).\nAnswer: -29760*x - 6534","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 5, 2\/139 in descending order.\nAnswer: 5, 2, 2\/139","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = -25*c - 2. Suppose -6*r + 3 - 9 = 0. Is z(r) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-130)\/24*-28 + (-2)\/(-6). Solve 0 = -16*g - 22*g - l for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.7 take away -316098?\nAnswer: 316098.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-44)\/66)\/(110\/15).\nAnswer: -1\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -23*l = 1840 - 1357 for l.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 221.99 + 23893612.877.\nAnswer: 23893834.867","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g**2\/2 + 229933*g\/2 - 1839592 = 0. What is g?\nAnswer: -229949, 16","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -11659\/21 - -3904\/7. Calculate the common denominator of -20\/21 and p.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 49396817 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 138\/(-2668)*(-4)\/18*-6.\nAnswer: -2\/29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (18 + 3)\/3 + -1. Let a = -16 - -20. Sort a, -4, y in descending order.\nAnswer: y, a, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 263*x = -2318*x - 28391 for x.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-m + m - 2*m**2)*(5 + 0 + 13)*(2*m**3 - m + m).\nAnswer: -72*m**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from yakkykkyykakyyyyqa. Give prob of picking 3 a.\nAnswer: 1\/816","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand -12*c**4 + 14*c - 14*c + (-6 - 1 - 1)*(-c**4 - c**4 + 3*c**4) - 5*c + 5*c + 2*c**4.\nAnswer: -18*c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*b - 2 = -4*b - 3*c + 19, 10*c - 56 = -2*b for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -3, 13 in ascending order.\nAnswer: -3, -2, 13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = 7*d + 1. Let c be 667\/(-87) + (10\/(-3) - -3). Let k(r) = 20*r + 2. What is c*j(y) + 3*k(y)?\nAnswer: 4*y - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 23220 (base 5) to base 13\nAnswer: 9c8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = -15*s**2 - 115*s - 66. Calculate the remainder when 1034 is divided by j(-7).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 15? (a) -2 (b) -12 (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r - 40 = -6*r. Let z = r + -6. What is the second derivative of 0*p + 0*p + 37*p**2 - 33*p**z + 2*p wrt p?\nAnswer: 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w - 81 = w - 5*c, -4*w + 5*c = -274. Let k(v) = -v**2 - 11*v. Calculate the remainder when w is divided by k(-9).\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 11, 18, 25?\nAnswer: 32","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -180*x = -8300 - 5763 - 4657. Calculate the remainder when 2597 is divided by x.\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -23191 + 53940. Is o prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 25 a factor of 70425?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-27)\/36*-2)\/(-3).\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -a4a3 + -2?\nAnswer: -a4a5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 2, 21 in increasing order.\nAnswer: -3, 2, 21","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 11206 and 1583267725?\nAnswer: 5603","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 105467 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -58 + 61. Suppose z - 15 = -5*k + 197, 2*z - 476 = v*k. What are the prime factors of z?\nAnswer: 2, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -3, -2\/13, 5, -13?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand 249*n + 249*n - 503*n - 2*n - n + 2*n - 2*n + 0*n + n + (-2*n - n + 2*n)*(-1 + 0 + 2) + 0 - 2*n + 0 - 2*n + n + 0*n + 5*n + 2*n - 4*n.\nAnswer: -8*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 0.2 (b) 0.1 (c) -81 (d) 9 (e) -3\/5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/10 of a milligram in micrograms?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -8*t + 2*t + 12. Let m be -4 - (-4 + 2)*t. Suppose d - 5 - 43 = m. What is the highest common divisor of d and 16?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = -l**3 + 4*l**2 + 4*l - 4. Let h(a) = -a**3 + a**2 + a - 1. Let d = -125 + 130. Suppose -12 = 8*p - d*p. Give p*h(o) + q(o).\nAnswer: 3*o**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -6 - -2. Let v = n - -8. List the prime factors of v.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = -364234591*l. Let g(s) = -2*s. What is g(c(d))?\nAnswer: 728469182*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c**(-2))**(-23\/3))**(-1\/20) assuming c is positive.\nAnswer: c**(-23\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = s - 5 + 4 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = -4*r**2 + 2*r - 96. Let u(y) = -5*y. Calculate u(m(s)).\nAnswer: 20*s**2 - 10*s + 480","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -4674848 minus -15135?\nAnswer: -4659713","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -111100 (base 2) to base 10\nAnswer: -60","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = 10*m**2 - 5271*m + 6953793. Let q(j) = 23*j**2 - 10541*j + 13907594. Let y(d) = 7*g(d) - 3*q(d). What is p in y(p) = 0?\nAnswer: 2637","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) be the second derivative of -b**5\/10 + b**4\/6 - 8*b - 3. Factor d(m).\nAnswer: -2*m**2*(m - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w = -6*w. Suppose 0 = -w*o - 3*o - 18. Let m(u) = u**3 + 6*u**2 - u. Let v be m(o). Solve -v*i = -3*i for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-4 - 0)*(-10)\/8. Suppose 4*c - 28 = -d + 16, 197 = j*d - 3*c. Suppose -2*x + d = 3*x. What is the units digit of x?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 274 minutes after 6:09 PM?\nAnswer: 10:43 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 255 and 153?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.2351 rounded to one dp?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 6*n**4*q + 334*n*q - n wrt n?\nAnswer: 72*n**2*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor c**4\/4 + c**3\/2 - 7*c**2\/4 - 5*c - 3.\nAnswer: (c - 3)*(c + 1)*(c + 2)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 746157.\nAnswer: 3, 248719","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -208.939 from 0.21.\nAnswer: 209.149","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -82440, -82458, -82476, -82494?\n\"Answer: -18*w - 82422","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = q**2 - 5*q - 2. Let b be (6 - 5)*(9 - 1). Let u be b + -2*(2 + -1). Let k be j(u). Let t(d) = -3*d + 2. Let l(x) = 8*x - 5. What is k*l(h) + 11*t(h)?\nAnswer: -h + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is thirteen quarters of a kilometer in meters?\nAnswer: 3250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = 610*r. Let q(n) be the third derivative of n**4\/12 + 4*n**2 + 151. Determine q(d(t)).\nAnswer: 1220*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 4589.471 + -4588. Round c to one dp.\nAnswer: 1.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -13116, -25800, -38484?\n\"Answer: -12684*x - 432","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -25*v**2 - 5*v + 5*v**2 - 2*v wrt v.\nAnswer: -40","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-16 - -29) + 43 - -13 - (-2 - -18).\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -5185, -5182, -5179?\nAnswer: -5176","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.2 in -0.3, 1.1, -4.7, -9\/22?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -2 + 8. What is the highest common divisor of 48 and t?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 163 - 218 - 510 - 58*s**3 - 266.\nAnswer: -58*s**3 - 831","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 4979566?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = a**2 - a + 1. Let s(o) = -o**3 - 4*o**2 - o + 4. Let k(p) = 2*q(p) - s(p). Let g be k(-6). Suppose -6 = -g*y + 22. What is the units digit of y?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 145, 177, 99, -101, -435, -915, -1553, -2361?\nAnswer: -3351","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9 + 67*n**3 - 9 - n - 263995*n**2 + 263995*n**2 - 68*n**3.\nAnswer: -n**3 - n","meta":{"dup_signals":{},"source":"polynomials__collect_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: What is the derivative of 133*d*h*l + 748*d*l - 817*h - 217 wrt h?\nAnswer: 133*d*l - 817","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = 983*q**2 - 70*q + 16. Is d(-9) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -987 * -0.5.\nAnswer: 493.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-5)\/4)\/(11\/(-352)*8)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -25\/476 and -41\/41618992.\nAnswer: 291332944","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l + 88 = -7*l. Let v be (l\/(-33))\/(2\/621). Calculate the highest common factor of v and 23.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 50710\/3 or -0.1?\nAnswer: 50710\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i + 2 - 18 = 0. Suppose -i*h + 56 = -x - 4*x, -5*h - 3*x = -70. What is the greatest common divisor of 56 and h?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 337 - 301 = 6*b. Solve -c = -i - b, -2*i + 3*i = -5*c + 12 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1212110 + 1212110 + 10*n)*((3 - 1 - 4)*(-2 + 3 + 0) + 2 - 1 + 0) + (1 - 2*n - 1)*(0 + 2 + 0) as g + m*n and give m.\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 746941 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) 164.02 (b) 5 (c) 0.5 (d) -0.4 (e) -1\/4 (f) 0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r - 9*r = -3*b + 5974, 5978 = 3*b - 4*r. Does 18 divide b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.3? (a) 0.1 (b) -177\/20 (c) 90 (d) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 23320185 to the power of 1\/2, to the nearest integer?\nAnswer: 4829","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5 - 290\/(-15)*3\/(-12)?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 162*w = 181*w + 38. Let z = -7 + 6.7. Which is the closest to -0.2? (a) -15 (b) z (c) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -3967 - -1938. Let o = 2028.75915 + q. Let g = 0.24 + o. What is g rounded to 4 decimal places?\nAnswer: -0.0009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 65*x - 62*x - 45 = 0. Let a(u) = u**2 - 16*u + x*u - u**2 - 199*u**3 + 200*u**3. Let i(q) = -4*q**3 + 2*q. Determine -4*a(t) - 2*i(t).\nAnswer: 4*t**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round -11321600 to the nearest 100000.\nAnswer: -11300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-8 + 8 - 4*h**3)*(-84*h**2 - 47*h**2 + 14*h**2).\nAnswer: 468*h**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 22 (b) 3\/7 (c) 0.04 (d) -1 (e) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v - 5*y + 13 = -2*v, 0 = 5*y. Solve 4 = -4*l - 2*q - 2*q, 2*l - v = 3*q for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o**6*o**4)\/(o**5*o*(o*o**(1\/3)\/o)\/o))**(6\/7) assuming o is positive.\nAnswer: o**4","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.3 and -0.40126388.\nAnswer: 0.120379164","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = -2*w**2. Let k(o) = -1. Let j(b) = 3*b - 5. Let n(c) = -j(c) + 5*k(c). What is n(r(i))?\nAnswer: 6*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -6806 - -6359. Put 2, -0.2, 4\/5, a in increasing order.\nAnswer: a, -0.2, 4\/5, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(165) - (sqrt(165) + (sqrt(165) - (sqrt(165) - sqrt(165)*2))*3))\/(sqrt(9)\/(sqrt(15)\/sqrt(5))))\/(2*2*(sqrt(405) - sqrt(405)*-5)).\nAnswer: -sqrt(11)\/36","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 324476 is divided by 944?\nAnswer: 684","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sum -0.019284 and -0.27.\nAnswer: -0.289284","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (187 - 318) + 54 + 0?\nAnswer: -77","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 98 and 7523509?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (40*(-73)\/2920)\/(((-2)\/74)\/(-1)).\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 3204 divided by 6\nAnswer: 534","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 19583 a multiple of 28?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -736934 = -28*r - 736794 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 2 + (3 - 27\/15). Let y be 12\/10 - 1672\/(-2090). Suppose -54\/5*b**y + 2*b**3 + 12*b - l = 0. What is b?\nAnswer: 2\/5, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 1139 and 5214.\nAnswer: 5938746","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does 260 divide 1118780?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 32239825, 32239826, 32239827, 32239828?\nAnswer: 32239829","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2755*k + 3557*k + 167952 = -686*k for k.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -290 (base 14) to base 10\nAnswer: -518","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 18 - 8 - 2*c**3 + 0*c + 3 + 2*c**4 + 3*c**2 - c to z*c + x*c**2 + u*c**4 + m*c**3 + j and give m.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g + v + 138 = 0, 2*g - 4*g = 5*v + 105. Let u = g - -46. Let x be (1\/1)\/((-2)\/(-10)). What is the greatest common divisor of x and u?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6 + ((-20)\/34*5)\/(2\/4).\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = 22*x - 950. Let z(b) = -30*b + 950. Determine 4*l(o) + 3*z(o).\nAnswer: -2*o - 950","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = -j**3 - 11*j**2 + 50*j + 86. Calculate b(-14).\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1550 - -1569. Calculate the greatest common divisor of 1539 and j.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-14)\/(-5)*(-34550)\/(-24). Let z = m - 4016. Calculate the common denominator of z and 73\/12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -5.647 + 0.377. Let u = r - -0.27. Which is the nearest to 2\/7? (a) u (b) 3 (c) -20\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -0.1 (b) -42 (c) -0.4 (d) 6\/187 (e) -11\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21*i = -7*i - 56. Suppose -3*t - t + 142 = -2*p, i*t - 4*p = 144. What is the derivative of -t*w + 6 + 0 - 5 + 25 wrt w?\nAnswer: -35","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (903\/(-473))\/(1836\/2244).\nAnswer: -7\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 n and 1 g when two letters picked without replacement from {n: 2, t: 1, g: 9, b: 7}?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 8 - 4. Suppose -f*c = 4*p - 52, 3*p - 15 = -0*p + 3*c. Calculate the remainder when 34 is divided by p.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 192*b = 166*b + 14066. List the prime factors of b.\nAnswer: 541","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = x**2 + 32*x + 121. Let y be h(-29). Suppose -8976 = y*m - 42*m. Is m a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 7*y**3 - 5*y**3 + 8*y**3 + (11 + 2*y**2 - 11)*(128*y - 166*y - 145*y - 108*y - 63*y) to the form h*y**2 + d*y**3 + z + i*y and give d.\nAnswer: -698","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) be the first derivative of -n**3 - 17*n**2 + 3*n - 3776. Calculate w(-11).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = 2*a. Let l(b) = 37786*b - 3. What is q(l(c))?\nAnswer: 75572*c - 6","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s = -2*n - 35, -5*s + 95 = 3*n + n. What is the units digit of s?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (2\/6)\/(10\/10)?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -12692 + 12690. Which is the closest to x? (a) 2 (b) -1\/3 (c) -5 (d) -6.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1)\/228*66\/627*19.\nAnswer: -1\/114","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -36 + 75\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.821 + 339.821. Let t = h - 339. Sort -1, t, 3, 7.\nAnswer: -1, t, 3, 7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -62*t**2 + 29*t**2 - 16*t**5 + 36*t**2 + 278 - 278 + 358*t - 29*t**4 wrt t?\nAnswer: -320*t**3 - 348*t**2 + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 18\/81 - (-16316)\/(-97722). Let p = -2\/89 + t. Let r be 6\/(-4) + (-1)\/(-2). Is r less than or equal to p?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = a**3 - 3*a**2 + 3*a - 3. Suppose 0 = -38*s + 41*s + 9. Let u(g) = 3*g**2 - 2*g + 2. Determine s*u(z) - 2*r(z).\nAnswer: -2*z**3 - 3*z**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y = 2*y - 20. What is the second derivative of -3752 + 16*c - 20*c**4 - 4*c**y + 3752 wrt c?\nAnswer: -288*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 54 + -245 + 35 + 85.\nAnswer: -71","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 (base 14) in base 16?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 1, z: 5, v: 3, x: 1, i: 2, k: 3}. Give prob of picking 2 z.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 34758 + -34761.0507. Round t to two decimal places.\nAnswer: -3.05","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in 8\/25 of a microsecond?\nAnswer: 320","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 5*i**2*o - 6*i**2 + 2*i + 6415*o - 7 wrt o.\nAnswer: 5*i**2 + 6415","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(95)*2*-5 - sqrt(95) - sqrt(95))\/((sqrt(60)\/sqrt(4))\/sqrt(3)).\nAnswer: -12*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve j = y + 2, -j + 185 = -11*y - 51*y for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2267 + 2267 - 36*c + 0 - 2*c + 0 + (0 + 0 - 1)*(c + 3 - 3) - 2*c + 0*c + 0*c - c + 2*c + 0*c.\nAnswer: -40*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -67 - 198*j**2 + 133 - 66.\nAnswer: -198*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 2898\/(-1127)*(-28)\/(-6)*(-1)\/(-2)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: ((-16*1334\/(-1160))\/((-8)\/(-15)))\/((-3)\/6)\nAnswer: -69","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-1476)\/28 + 5 + (-4)\/14. Let u = h + 52. Solve 2*k - u = 2*o, -2*k + 2*o = 3*k + 2 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine y so that 3*y**5 + 8892*y**4 - 53445*y**3 + 44622*y**2 + 213732*y - 320760 = 0.\nAnswer: -2970, -2, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_test"},"subset":"dm_maths"} +{"text":"Question: Let i = 2.2 - 2.5. Put i, 0.3, 0.1 in decreasing order.\nAnswer: 0.3, 0.1, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = a**3 - 14*a**2 + 3*a + 27. Is z(14) a multiple of 23?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 21382*n - 21494*n - 5488 = 0 for n.\nAnswer: -49","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = -i**2 - 5*i**2 + 20*i**2 - 15*i**2. Let q(m) = -499*m + 2. Determine c(q(y)).\nAnswer: -249001*y**2 + 1996*y - 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1, 19, 49, 83, 115?\nAnswer: 139","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -33*w + 4246 = 4576. What is the second biggest value in -20, -1\/6, w, 4\/3?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 1 - 1)*(3 + 0 + 17)*(8*z**4 + 8*z**4 - 6*z**4) - 12 + 2*z**4 + 12 - 7*z**4 - 4*z**4 + 5*z**4.\nAnswer: 196*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -34.91 - 0.2576776188\nAnswer: -35.1676776188","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -30 = -z + 10*w, 0*z + z - 3 = 6*z + w for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Determine a so that -2048\/5 - 4064\/5*a**2 - 4\/5*a**5 + 5056\/5*a + 1148\/5*a**3 - 88\/5*a**4 = 0.\nAnswer: -32, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do -9514 and -9514 have the same value?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -30*p**3 + 2*p**2 + 7*p - 24 wrt p?\nAnswer: -180*p + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_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: Is 125898949 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 d and 2 r when four letters picked without replacement from {r: 2, d: 8}.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 35609.47 rounded to the nearest one thousand?\nAnswer: 36000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = -i**3 + 2*i**2 + 3*i + 4. Let l be y(3). Suppose 17575 = 23*k + 17529. What is the units digit of (75\/5)\/(k\/l)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -12*t + 6*t**3 + 39*t**2 + 24*t - 11*t - 8*t**3 in the form p*t**3 + q*t**2 + u + g*t and give g.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = -y + 1. Suppose -13*x = -9*x - 16. Let h(k) = -3 + 14*k - 3 - x*k - 3*k. Determine 5*b(w) + h(w).\nAnswer: 2*w - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h*h**(-4)*h**(-2\/9)*(h*(h**(-1)*h)\/h)**(6\/19))**(1\/10) assuming h is positive.\nAnswer: h**(-29\/90)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 550950*l**5 - 9*l**4*s + l**2*s + 26234*l + 9*s + 2 wrt l?\nAnswer: 33057000*l**2 - 216*l*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + ((4 + sqrt(2057) + 0 - (sqrt(2057) + 3 + sqrt(2057) + 2))*-5*4)**2.\nAnswer: 8800*sqrt(17) + 823203","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: ((-55)\/22)\/(-4*10\/192)\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 11 (base 6) to base 13.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*v**3 - v**3 - 2*v**3 + (-v - 3*v + 3*v)*(2*v**2 - v**2 - 2*v**2) + (-25*v + 12*v - 21*v)*(3*v + 6*v - 5*v)*(2*v - 3 + 3).\nAnswer: -270*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 + 4 = p, -4*p + 20 = -3*z. Suppose 2*i + i - 75 = z. Does 12 divide i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 0, -2\/17, -237, -3\/7, 4, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 2323457 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Divide -9205755 by 3315.\nAnswer: -2777","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = 2*g - 1785. Let f(p) = -8957*p. What is f(v(t))?\nAnswer: -17914*t + 15988245","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 41634074 is divided by 26?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-14)\/(-35) - 64\/10. Let w(a) = -a**2 - 6*a + 5. Let y be w(z). What is the third biggest value in y, -0.4, -1\/4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = 3*m**2 - 2*m - 4*m + 6*m. Let j(n) = -86*n + 209*n - 62*n - 61*n + 56*n**2. Determine s(j(h)).\nAnswer: 9408*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6 + (0 + 0 - 2).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = -3*o**2 + 93*o - 85. Give w(30).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 2 - 2)*(0*w**4 + 3*w**4 + w**4) + (-15*w**3 + 12*w - 12*w)*(-2*w - 2 + 2).\nAnswer: 38*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-12)\/22 - 896857350\/(-1925)*-7. Round n to the nearest 1000000.\nAnswer: -3000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000053389 rounded to seven dps?\nAnswer: -0.0000053","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = -12*r + 176. Let f be j(9). What is the greatest common factor of f and 289?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t = 2*j + 12, j = 3*t - j - 16. Let m(z) = z**2 - 8*z + 8. Let v be m(7). What is the highest common factor of v and t?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c - 2 = -c. What is the units digit of c?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-8)\/(-522))\/((-4012)\/102). Which is smaller: 0 or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -52*a + 30 = 67*a - 89*a. Sort 0, -262, -2\/7, a in ascending order.\nAnswer: -262, -2\/7, 0, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 515 + -511. What is the greatest common factor of u and 484?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = p**3 - 18*p**2 + 43*p + 34. Let f be d(15). Suppose f*w - 3906 = -2*y, -7*w - 973 = -8*w + 3*y. List the prime factors of w.\nAnswer: 2, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = 3*v + 2. Let g be k(1). Suppose -4*y - g + 197 = 0. Calculate the remainder when y is divided by 10.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 3370 + 4333. What is the tens digit of t?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4058 is divided by 48?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 529137425?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert -92c (base 15) to base 4.\nAnswer: -200103","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert -11211 (base 4) to base 12.\nAnswer: -259","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2*a*w**3 + 6*a*w + 34*a + w**5 - 2*w**4 - 55978*w**3 - 6*w**2 + w - 950 wrt w?\nAnswer: 12*a + 60*w**2 - 48*w - 335868","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1396.800185448 - 1396.8. What is i rounded to five dps?\nAnswer: 0.00019","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = -l**2 + 14*l + 13. Let t = -2 + 15. Let s be h(t). Suppose -2*n + 3*x - 7 = -0*x, 2*x = -4*n + s. Let z(i) = -i**3 + 3*i**2 + 5*i. Calculate z(n).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1648 a factor of 89506176?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -15.1 + 15. Suppose 4*m - 1 = b, b = m + 2 - 3. Let j = -0.07 + 0.47. What is the closest to b in j, c, 0.2?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9981778897 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -7221da (base 15) in base 3?\nAnswer: -101012120101221","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 172122?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(2673)*-1)\/(-2*sqrt(396)))**2.\nAnswer: 27\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*w - w - 2*w)*(0*w - w + 2*w) + 3*w**2 + 1 - 1 + (-1 + 1 + 1)*(4*w - 8*w + 26*w)*(3*w - 1 + 1) as c + a*w + m*w**2 and give m.\nAnswer: 68","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = -99*x - 81. Let t = -75 + 236. Suppose t*c - 324 = 157*c. Let n(a) = -5*a - 4. Give c*n(r) - 4*i(r).\nAnswer: -9*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put -87, -932, 0.3, -2, -1\/7 in descending order.\nAnswer: 0.3, -1\/7, -2, -87, -932","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = -s**3 + 6*s**2 + 6*s - 5. Let d be v(6). Let l = 20 - d. Let o = l + 12. Let h(b) = -5*b - 1. Give h(o).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.5296 + 4.2696. Which is the second smallest value? (a) u (b) -0.1 (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m = -24 - 16. Suppose w - 150 - m = 0. What are the prime factors of w?\nAnswer: 2, 5, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -2512486, -2512485, -2512484, -2512483, -2512482?\n\"Answer: q - 2512487","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is v in 2*v**4\/9 + 1028*v**3 + 1608224*v**2\/9 + 8005372*v + 70449374\/9 = 0?\nAnswer: -4447, -89, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:53 PM and 12:07 AM?\nAnswer: 194","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 262396760.\nAnswer: 2, 5, 1427, 4597","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2686680 by 18.\nAnswer: 149260","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 98 a factor of 716380?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 4136 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4*r**2 - 5*r**2 + 31*r**2)*(4 - 3 + 2*r**2 - 1) in the form x*r**3 + a*r**4 + q*r + o + u*r**2 and give a.\nAnswer: 44","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/2? (a) -5 (b) -658\/5 (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 162, 330, 506, 696, 906, 1142?\nAnswer: 1410","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = -3*a**2 + 4*a + 4. Let n(u) = -3*u**2 + 5*u + 5. Suppose 5*h = 13*h - 2576. Let v be 4\/(-10) - h\/70. What is v*f(b) + 4*n(b)?\nAnswer: 3*b**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = -18*u - 20. Let j(a) = -7*a - 8. Let m(r) = 12*j(r) - 5*q(r). Let i be m(-3). Let b = -3 - i. What are the prime factors of b?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 610 and 1339194.\nAnswer: 122","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*-2*-2*(-5*(1 + sqrt(175)) + sqrt(175) + (2*sqrt(175)*-2 - sqrt(175)) + -3)**2.\nAnswer: -113912 - 5760*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 59 and 2468147?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -9676*9.11.\nAnswer: -88148.36","meta":{"dup_signals":{},"source":"arithmetic__mul_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*p - 996 = -14*p. Let u = p - -1666. Is u prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*p**2 + 23*p - 23*p)*(-p**2 + 4*p**2 - 5*p**2) + 0*p**3 + p**3 + 5*p**4 - 4*p**4.\nAnswer: -3*p**4 + p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4*s + 3*s - 15*s)*(2*s + 2 - 3*s + 4) to the form z*s**2 + x + k*s and give k.\nAnswer: -96","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 697831?\nAnswer: 697831","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-224*j**4 - 108*j**4 + 1 - 1 + 96*j**4)*(13 - 2 - 2) to the form v*j**2 + y*j + w*j**3 + i + q*j**4 and give q.\nAnswer: -2124","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -55 + 57. Let u be 24\/(-20)*((-75)\/f)\/5. Let s be -2*(-2)\/(-18) - 20248\/u. What is s rounded to the nearest 1000?\nAnswer: -2000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = -3. Let u(z) = z + 4. Suppose -2*f = 3*p - 1, p + 2*f = 5 + 2. Let b(v) = p*u(v) - 5*j(v). Give b(3).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = -f**3 + 370*f - 151. Let g(z) = -33*z**3 - 2*z**2 + 2. What is the remainder when g(-2) is divided by v(19)?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1292160 and 640?\nAnswer: 1292160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 0 divided by -3026961\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_test"},"subset":"dm_maths"} +{"text":"Question: Let z(n) be the second derivative of -5*n**7\/504 - 15*n**4\/4 - 45*n. Let s(a) be the third derivative of z(a). Let q(p) = p**2. What is q(s(m))?\nAnswer: 625*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from oomooroooooroooro. Give prob of sequence ro.\nAnswer: 39\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 69 - 78.3. Let v = 9 + n. Let t = 0.4 - 0.3. Which is the closest to t? (a) -0.5 (b) v (c) 1\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -153498 + 219719. Is z composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2423*w**5 - 2*w**3 - 2*w**2 + 1909*w wrt w?\nAnswer: -48460*w**3 - 12*w - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.3 + 3.3. Let f = 51\/25 + -2. Let l = 57\/175 - f. Are l and k nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (12*f**4 - 76*f**4 - 5*f**4)*(0 + 2 - 1)*(f - f + 2*f) + (-3*f**2 - 3*f**2 + 5*f**2)*(4*f**2 - 2*f**3 - 4*f**2).\nAnswer: -136*f**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = 21*i**2 + 2*i - 1. Suppose -3*x + 4*g - 45 = 9*g, 5*x = -6*g - 75. Let o(s) = -6*s - 29. Calculate the remainder when o(x) is divided by t(1).\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0 + 845678*u**2 + 0 - 281879*u**2 - 281881*u**2 - 281917*u**2.\nAnswer: u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 486073490089 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 5218782 to the nearest integer?\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-3 - -2)\/(4\/412). Let y be 4\/((-5)\/(-1545)*(-26 + 14)). Is y at most b?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -19146.788 to the nearest 10000.\nAnswer: -20000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*r - 4*r + 2*r)*(0*r**2 + r**2 - 3*r**2 + (0*r - 2*r + 3*r)*(-r + 4 - 4) - r**2 + r**2 - 4*r**2).\nAnswer: -7*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {z: 1, u: 2, y: 1, c: 2, f: 1, s: 2}. Give prob of sequence cfys.\nAnswer: 1\/756","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -7 - -26016018\nAnswer: 26016011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = -2*u. Let l(v) be the third derivative of -v**5\/60 + 1643*v**4\/24 + v**2 + 617*v. What is l(t(d))?\nAnswer: -4*d**2 - 3286*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -2024 - 1311?\nAnswer: -3335","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) be the third derivative of t**8\/2520 + 2*t**7\/1575 - t**6\/300 - 4*t**5\/225 - t**4\/45 - 14*t**2. Let i(w) = 0. What is w?\nAnswer: -2, -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = 12*w**2 + 330*w + 7. Is g(-40) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -74\/5 - -15. Let s = -3\/8 + 29\/56. Let i(z) = -2*z**2 + 11*z - 6. Let g be i(5). What is the closest to g in r, 4\/7, s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1283749795 a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -18*t**3 - 268 - 332914*t + 268 + 332914*t.\nAnswer: -18*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -71 + 66. Sort -5\/3, m, -4.\nAnswer: m, -4, -5\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-18)\/(-5) - 10\/(-25). Does a = 5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 92536? (a) 4 (b) 14\/3 (c) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1031010 is divided by 156.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = -x**3 - 7*x**2 + 4*x + 20. Let b be v(-7). Is b equal to -8?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0825 take away 19781910053?\nAnswer: -19781910052.9175","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 86488.\nAnswer: 2, 19, 569","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -915 + 307 - 6*q + 307 + 301.\nAnswer: -6*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ktc when three letters picked without replacement from {r: 4, h: 1, k: 1, t: 3, c: 2}?\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = 5*m**3 + 7*m**2 + 116*m + 11. Let s(y) = -14*y**3 - 22*y**2 - 351*y - 38. Let i(h) = 2*s(h) + 7*w(h). Find the second derivative of i(j) wrt j.\nAnswer: 42*j + 10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5504*d + 5501*d + 16 = a, -2*d + 20 = 3*a for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 90925 is divided by 16.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 17 a factor of 264426?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 3 + -2 - 2 - (-6 + 3)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 = 6*c - 27. Suppose c*t = v + 2*t - 23, -4*v + 3*t + 131 = 0. What is the remainder when 62 is divided by v?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 857789762 is divided by 4419.\nAnswer: 4415","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -35.8 + 33. Let d = a - -4. Let j = 0.8 - d. What is the third biggest value in -4\/5, j, 1\/4?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-18)\/48)\/(9\/(-4)).\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a\/(a*a**35))**(-3\/7) assuming a is positive.\nAnswer: a**15","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-780)\/48*(-23460)\/5083.\nAnswer: 75","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*c - 5*r - 2, 7*c - 3*c + 4*r = 20. Let d = 1 - 2. Let m = c + d. Is m even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1172796811?\nAnswer: 1523, 770057","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*l + 2*m - 135, -17*l + 5*m - 191 - 156 = 0 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 75007123.\nAnswer: 3677, 20399","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 765 and 90.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 2264090066?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((3*sqrt(5)*-5)**2 - (-3*sqrt(5)*-1)**2)*1*-4.\nAnswer: -4320","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 27489 divided by 119?\nAnswer: 231","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*s**4 + 0*s**4 + 0*s**4 + (-2*s**3 + 4*s**3 + 0*s**3)*(23*s + 86*s - 19*s).\nAnswer: 178*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:22 PM and 5:46 AM?\nAnswer: 624","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m + 4*m + 35 = 3*p, -3*p + 3*m = -27. Let w = -19 - -17. What is the second biggest value in 0.5, w, p?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 4 + 21. Let f = o + 89. What is the tens digit of f?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = -r**3 - 6*r**2 + 18*r + 11. Determine h(-7).\nAnswer: -66","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -13 + 15. Suppose -7 = i + 3*l, y*l - l = -3. Suppose -3*d = 4*u - 81, -3*u = -i*d - 0*u + 37. List the prime factors of d.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000007255711 to seven decimal places.\nAnswer: -0.0000007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 3 - 2)*((4 - 3 + 1)*(-a + a + 2*a) - a + 0 + 0 + 2*a - a - 2*a + 5*a - 3*a + 0*a + a + 0*a + 0*a).\nAnswer: 15*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -3547 and 2241?\nAnswer: -7948827","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {f: 4, p: 7}. What is prob of sequence ffpp?\nAnswer: 7\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2673336?\nAnswer: 2, 3, 23, 29, 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 496 minutes before 5:50 AM?\nAnswer: 9:34 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find l, given that 17*l**4\/6 - 1168*l**3\/3 + 1622*l**2\/3 + 1360*l\/3 = 0.\nAnswer: -10\/17, 0, 2, 136","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 93 + -93.36. Put 0.1, z, 4\/9 in increasing order.\nAnswer: z, 0.1, 4\/9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 151\/312 and 67\/1920.\nAnswer: 24960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) be the second derivative of -c**4\/12 - 5*c**3\/6 - 3*c**2 - c. Let b(z) = -12269*z + 171761. Let y be b(14). Calculate u(y).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((1 - -4) + (24 - 40) - (-6 - -3)) + 62.\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -105\/4 + 26. Let c(n) = -n + 7. Let m be c(0). Suppose -t + 2 = -m*a + 2*a, 8 = -a + 4*t. Is h > a?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k + 48 = k. Let t be (-6)\/4*8\/k. Let w = -2.98 + -0.02. What is the second smallest value in w, 1, t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 18 + -12. Let t be (-1 + 0)\/(16\/144). Let u(l) = -l - 6. Let x be u(t). What is the greatest common divisor of k and x?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 77921 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 4 - 2*u**4)*(u + 3*u + 0*u - 2 - 3*u + 2 + (-311 - 124 + 38)*(3*u - u - u)).\nAnswer: 792*u**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express (1 + 3 - 10)*(-10*m + 21*m - 33*m)*(2 + 0 + 2) as z*m + n and give z.\nAnswer: 528","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort -206, -4, 3 in descending order.\nAnswer: 3, -4, -206","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 412082?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(5\/3)*w)\/(w*w\/(((w\/w**(5\/4))\/w)\/w)) assuming w is positive.\nAnswer: w**(-19\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1946 and 1141.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 10, 19, 30, 43, 58, 75, 94?\n\"Answer: p**2 + 6*p + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*c + 2*c + c**3 + (c + 4*c - 4*c)*(2*c**2 - 3*c**2 + 5*c**2).\nAnswer: 5*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1292 + 3484 = -137*c for c.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-s**4 + 3*s**4 + s**4 - 16*s**4 - 5*s**4 - 5*s**4 - 3*s**4 - 9*s**2 + 9*s**2 + (0 + 2*s + 0)*(0*s**3 + 0*s**3 + 2*s**3))*(2*s - 3*s + 0*s).\nAnswer: 22*s**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = -3*y**2 + 6*y**2 - 4*y**2. Let s be 40\/18 - (-8)\/(-36). Let w(f) = f**s - 5*f**2 + 7*f**2. What is w(t(n))?\nAnswer: 3*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 997 times 22229\nAnswer: 22162313","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -10 + 4. Let j = h - 9. Let m = -15.1 - j. Which is smaller: -1.6 or m?\nAnswer: -1.6","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-245)\/105 - (-16)\/12 - 33?\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7 + (7 - (-12 + (10 - 5) - 15)).\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 4348 and 92.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.814 in 1.952, -2\/17, 0.2?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -109149671317 take away 0.5?\nAnswer: -109149671317.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 280673 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -a**3 + 11*a**3 + 76*a**3 + 5*a.\nAnswer: 86*a**3 + 5*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put -6, 1, 276, -2, 0 in increasing order.\nAnswer: -6, -2, 0, 1, 276","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 1 - 3)*(-1 - 2 + 4)*(-m**2 + 3*m**2 + 0*m**2).\nAnswer: -2*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 315 minutes after 2:19 PM?\nAnswer: 7:34 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -68 + 70. Suppose -5*t + 129 = 3*n, g*t - 5*n = 22 + 11. What is the remainder when 69 is divided by t?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 31091 to the nearest integer?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 148 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -0.3 or 22989\/2?\nAnswer: 22989\/2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 8664.26 - 8588. Let n = y + -77. What is n rounded to one dp?\nAnswer: -0.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 6 and 528.\nAnswer: 528","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1)\/(1\/5*-1).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (2 + -6)\/(1*-1). Suppose 0*o - 2 = o, -3*o = 4*z - 34. Which is the biggest value? (a) z (b) -1 (c) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = i - 1. Let s(m) = 2*m**2 + 2*m - 1. Calculate o(y) + s(y).\nAnswer: 2*y**2 + 3*y - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 1729500 divided by 69180?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 24051 and 3894.\nAnswer: 31218198","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0.68 + -0.8. Let o = c - 0.02. Let k = o - -0.1400006. Round k to seven decimal places.\nAnswer: 0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = -38*v**5 - 3*v**3 - 3*v**2 + 25*v + 3. Let k(i) = i**5 - i**3 - i**2 - i + 1. Let g(n) = a(n) - 3*k(n). What is the second derivative of g(r) wrt r?\nAnswer: -820*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q + 10 = 0, 4180 = 8*h - 3*h - 3*q. Suppose -1007 = -6*i - h. What is the remainder when 135 is divided by i?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*s + 124 = -4*w + 4*s, -482*s - 1 = -480*s - 9 for w.\nAnswer: -32","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 70 = -3*g - i, 12*i = -17*g + 7*i - 398 for g.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = -3*n - 4*n**2 + 10*n - n**2 + n**3 - 6 - 2*n**2. Let j be m(6). List the prime factors of j\/1 - 3 - -8.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 9375.976cm?\nAnswer: 93759760","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 9, -3070, 12, 5 in decreasing order.\nAnswer: 12, 9, 5, -1, -3070","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round -104.33562134 to the nearest ten.\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Divide 141568 by -17696.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.13 in -26\/111, -0.3683, 2?\nAnswer: -26\/111","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (11\/(-33)*10)\/((-2)\/6). Let t(x) = 11*x**3 + 0*x - 5 - u*x**3 + 3*x + 5*x**2 + 4. Calculate t(-3).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2226 a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 2*d**4 - 16*d**3 - 1702*d + 4933801?\nAnswer: 8*d**3 - 48*d**2 - 1702","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 77 - 56. Calculate the greatest common factor of 21 and r.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = -u**3 - 4*u**2 + 4*u. Let g = 373 - 371. Let n(t) = -54*t**2 - 46*t**2 - 51*t**g - 6*t**3 + 130*t**2 + 21*t. Calculate 4*n(q) - 21*p(q).\nAnswer: -3*q**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -2, -1\/5, -0.33?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g**(-3\/5)*g)\/g**(-1))**(-1\/35)\/((g**1*g*g)**(-5)\/(g**(-1)\/g**(-1\/4))) assuming g is positive.\nAnswer: g**(1421\/100)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ooojebjuovvu. What is prob of sequence jbj?\nAnswer: 1\/660","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 775 and 7375365?\nAnswer: 36876825","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -12 - 0. What is the units digit of (g\/(-15))\/((-1)\/(-30))?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 12.88 + -13. Let y = 146 + -145. Is y > k?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 4 - 2. Suppose 8 = -a + 4*a + 2*z, z - 4 = g*a. Solve -o + 14 = -4*f, a = -3*f - f + 3*o - 18 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2801?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -63, -182, -349, -558, -803?\nAnswer: -1078","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 789609876 to the power of 1\/2, to the nearest integer?\nAnswer: 28100","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 478.1 + -477.5. Is g < -188?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 + (12 - 19 - ((17 - 10) + 8)).\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*-3*(-1*6*sqrt(180) + sqrt(180)))**2.\nAnswer: 364500","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in 4, -8100, -0.1031?\nAnswer: -0.1031","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -387*l - 10*f = -382*l - 105, -58 = -2*l - 5*f. Let w(s) = -6*s - 15. Let j(p) = 9 + 3 - 4 + 3*p. Determine l*j(t) - 6*w(t).\nAnswer: 3*t + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 4274?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 1 + 14 + 0*a**4 + a**4 + 10*a**4 wrt a?\nAnswer: 44*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 38979959 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h - 4*d = -6*d + 28, 11 = h + 2*d. Let t be 2*(-1)\/(-8) + (-1855)\/(-20). Suppose t = 7*c - 117. Calculate the remainder when c is divided by h.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -i - 4*i + 4*i + (-3*i + 2*i + 0*i)*(-2 + 6 - 3) - 2*i - 2*i + 3*i + 30 + 28 - 48 + 2*i.\nAnswer: -i + 10","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in seven fifteenths of a minute?\nAnswer: 28","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = 2*p**3 + 4*p**2 + 3*p. Let o(l) = -4*l**3 - 10*l**2 - 6*l. Calculate 3*o(d) + 7*x(d).\nAnswer: 2*d**3 - 2*d**2 + 3*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1 - 2039?\nAnswer: -2039.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 895 at least as big as 898?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = u**3 + 4*u**2 - 7*u - 7. Let d be t(-5). Suppose 87 = -d*s + 306. What is the units digit of s?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 33 and 88.\nAnswer: 264","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 3 (b) 1\/2 (c) -4 (d) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = -2*r. Let i be ((-80)\/(-30))\/(12\/9). Let a(t) be the second derivative of 0 + 0*t**3 - 4*t + 11\/12*t**4 + 0*t**i. Give a(n(u)).\nAnswer: 44*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(102)\/(sqrt(384)*3) - (2*sqrt(425)*-3 + sqrt(425))**2.\nAnswer: -10625 + sqrt(17)\/24","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = 2*f**2 + 8*f + 2. Let i(l) = 3*l**2 + 15*l + 4. Give -2*i(t) + 5*u(t).\nAnswer: 4*t**2 + 10*t + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 52.00000066 + -52. What is f rounded to 7 dps?\nAnswer: 0.0000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1 + 9 + -7)*(-1950)\/2145.\nAnswer: -10\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 8584 or 257503\/30?\nAnswer: 257503\/30","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*x - 3*w = -1, 3*w = 3*x + w + 1 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n + n = -27. Let r be 3\/18*4*n. Let i(m) = -13*m**2 + 11*m. Let k(c) be the second derivative of 7*c**4\/12 - c**3 - 7*c. Determine r*i(d) - 11*k(d).\nAnswer: d**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.002375623388 rounded to 7 decimal places?\nAnswer: -0.0023756","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1308, 1814, 2334, 2874, 3440, 4038?\nAnswer: 4674","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 112837833 is divided by 996?\nAnswer: 993","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = n + 10. Let j be x(-8). Suppose -60 = -5*b - 5*i, -j*b + 15 = -5*i - 9. Is b even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*m - 2*m + 4*m + (0 + 4 - 2)*(-4 + 4 - m) - 2 - 2*m + 2 + (m + 2*m - 4*m)*(-1810 - 3447 - 3464 + 1458) to i + d*m and give d.\nAnswer: 7258","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d = 4*s - 18, -3*s - 2*s + 15 = 0. Suppose 0 = -h - 2*a + 10, -2*h + d*a + 48 = h. What is the least common multiple of 16 and h?\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -105 + 256. Suppose -p = -5*k - 46, 5*k - 3 = 3*p - y. What are the prime factors of p?\nAnswer: 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 60418 is divided by 114?\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -2, 17, 34 in increasing order.\nAnswer: -2, -1, 17, 34","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 55 = 7*n - 12*n + 5*l, -2*l - 8 = n. Let b(q) = -q**3 - 10*q**2 + 3*q - 11. Calculate b(n).\nAnswer: -41","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -24 + 24 - 5*s**2 + (-2 + 2 + s)*(65*s + 10*s + 52*s) to b*s**2 + n*s + o and give b.\nAnswer: 122","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -4 - (-2 + (-14)\/(-10))\/(8\/200)\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -10 divided by 7865285.\nAnswer: -2\/1573057","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 12 - 21. Let b be 3\/w - (-10)\/3. Suppose b*s - 5*c = 85, -3*s + 60 = s + 4*c. Does 6 divide s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 h and 1 d when four letters picked without replacement from {h: 17, d: 3}?\nAnswer: 8\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19*r = 26*r - 129015. What are the prime factors of r?\nAnswer: 47, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (852\/17040*24\/10)\/(1\/(-15))?\nAnswer: -9\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = 46643*i + 326795. Calculate j(-7).\nAnswer: 294","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -58.4 + 30.2. Let d = 19 + -51. Let m = d - f. Round m to zero dps.\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_test"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -171929*f**2*i**2 - 861*f*i**2 - f*i - 3*i**2 + 5 wrt f.\nAnswer: -343858*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 7\/2 of a week?\nAnswer: 35280","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a = -2*l - 14, -6*l - 76 = -5*a - 2*l. Calculate the greatest common divisor of a and 80.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 6, 3, -20, -75, -174, -329, -552?\n\"Answer: -2*v**3 + 2*v**2 + 5*v + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a - 2*p + 3*p + 12 = 0, 5*a = 4*p - 37. Put 4, -1, a in increasing order.\nAnswer: a, -1, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(3) + sqrt(147) + (sqrt(147) - -1*sqrt(147)) + sqrt(147) + 4)**2 + 5 - (6*(3 + sqrt(147)) + 4)**2.\nAnswer: -3232 - 1616*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -58 or 298?\nAnswer: -58","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*k - 5*h + 69, 2 = -k + 4*h - 7. Is 18 at least k?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -3 (b) -16 (c) -4 (d) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -2 - 24025341101?\nAnswer: -24025341103","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-6)\/(-9))\/(50\/(-12) - -4). Let s(h) = h**2 + 6*h + 9. What is s(f)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 13 and 9347?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 219487 and 70261?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(-14)*i*i)**37*i**(-5)*i**27 assuming i is positive.\nAnswer: i**(-422)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = -k**3 + 4*k**2 - k + 9. Let h(p) = -p - 1. Let x be h(-6). Let j be u(x). Let t = -7 - j. What is the remainder when 39 is divided by t?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -5, -7, -0.8, -3\/14, 1\/2?\nAnswer: -3\/14","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -414371, -414409, -414473, -414563, -414679?\n\"Answer: -13*f**2 + f - 414359","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8878?\nAnswer: 2, 23, 193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = y - 0*y + 4. What is the units digit of 5\/(-15)*y*3?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*c + 2 - 8. Let q(f) = -f**2 + 3*f + 4. Let l be q(c). Let j = 5 + l. What is the units digit of j?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*r**2\/2 - 1812621*r\/2 + 33531435 = 0. Calculate r.\nAnswer: 37, 604170","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 2 (b) -2 (c) 23 (d) 1\/8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify c**28*c**(1\/22)\/c*c*c**(1\/12)\/c*((c*c**46*c*c)\/c)\/c assuming c is positive.\nAnswer: c**(9785\/132)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -29\/591 and 3056\/3152 - ((-22)\/33 - 5\/(-3)).\nAnswer: 591","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 times 22071.964?\nAnswer: -66215.892","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = 3*y**2 + 14*y + 9. Let f be g(-4). Sort f, 8, 5, 2 in ascending order.\nAnswer: f, 2, 5, 8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 8 divided by 146527\nAnswer: 8\/146527","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 3*i**2 - 20 + 17 - 5*i**2 + i**2 wrt i.\nAnswer: -2*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -20 and 18.2175.\nAnswer: -364.35","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = -13*s - 5. Let f(h) = 6*h + 2. Let c(m) = -5*f(m) - 2*u(m). Let t(j) = -5*j. Give c(t(k)).\nAnswer: 20*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 45, 5, -99, -297, -619?\nAnswer: -1095","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 2182+673\nAnswer: 2855","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 3 - 10. Let q = o - -12. Let n = -82 + 576\/7. Which is the closest to n? (a) 0.1 (b) q (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*b + 3*b + b + 2*b - 3*b - b + 2*b + 1 - 1 + 2 - 2 - b + (b - 2 + 2)*(-3 + 5 + 0) + (3*b + b + 5*b)*(-1 + 3 - 5).\nAnswer: -24*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 255424234.\nAnswer: 2, 13, 67, 11279","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 128\/(-144)*6\/8?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 38\/8085 and -19\/539.\nAnswer: 8085","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r + 589 = n - 7*r, 0 = 5*r + 5. What is the remainder when n is divided by 30?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -7912 + 7913. Which is the closest to s? (a) 2\/11 (b) 0.5 (c) -2955\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -13971 (base 11) to base 10\nAnswer: -19801","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 588\/49*(-2 - (-18)\/4). Solve 35*r = q*r for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 52 + 278*h**2 + 157*h**2 + 257*h**2.\nAnswer: 692*h**2 + 52","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*n + 0 + 0 + (5 - 3 - 3)*(2*n + 2*n + 0*n) - 10*n + 14*n - 8*n)*(-114 + 228 - 94).\nAnswer: -120*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*n - 4*x + 716 = 13*n, -3*n - 5*x = 1063. Is -356 at most n?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = 32*p - 5. Let o(r) = -495*r + 77. Determine 77*d(k) + 5*o(k).\nAnswer: -11*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -28187, -193, 11 in increasing order.\nAnswer: -28187, -193, -3, 11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = u**2 - u. Let s(f) = 4641*f**2 - 3588*f. Let a(l) = -2*n(l) - s(l). What is the second derivative of a(k) wrt k?\nAnswer: -9286","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 8410 + -8413. Let y = 7 - 4. Put y, -2\/3, x, 0.1 in increasing order.\nAnswer: x, -2\/3, 0.1, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -4 - -3. Let o = 190772 - 190772.2. Which is the smallest value? (a) 13 (b) l (c) -3 (d) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8253892.\nAnswer: 2, 71, 29063","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b = -2*q - 8, 9*b = 8*b - 2*q + 2. Put 0, 1, 3, b, 129 in decreasing order.\nAnswer: 129, 3, b, 1, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3889 + 3896 + (2 - 88 - (2 + 1)) - 1.\nAnswer: -83","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 26496 + -23856. Calculate the lowest common multiple of m and 2160.\nAnswer: 23760","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 33 + 30 - 816*s + 35 - 98 to the form j*s + a and give j.\nAnswer: -816","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l - 12 = -v, 0 = 3*l + 4*v - v. Let x be 2*(-3)\/(-30)*l. Which is the nearest to x? (a) 5 (b) 3 (c) -2\/19\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 99606, 99615, 99624, 99633?\n\"Answer: 9*c + 99597","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide -10 by -577.\nAnswer: 10\/577","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 48 - 43. Let s = -4384.95 - -4385. Which is the second smallest value? (a) s (b) t (c) -0.6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -279, -1146, -2597, -4638, -7275, -10514?\n\"Answer: -d**3 - 286*d**2 - 2*d + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3 - 86*v**2 + 0 + 82*v**2)*(-2 + 2 + v)*(-3*v + 2*v + 3*v) to the form q*v**4 + w*v + k*v**3 + j + i*v**2 and give q.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-3)\/1 + (-6)\/(-1). Let x(y) = 2*y. Is x(h) a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2 + 147*p + 0 + 4 - 7 + 53*p.\nAnswer: 200*p - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 28424 and 210188.\nAnswer: 748","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -0.396 (b) -0.4 (c) -0.26\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 89\/50 and (-2 - 1*-2) + 672\/400.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 14*t**2\/9 + 22*t\/9 - 4.\nAnswer: 2*(t - 1)*(7*t + 18)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 108 and 1344.\nAnswer: 12096","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -82.7666986 rounded to two decimal places?\nAnswer: -82.77","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -13537*o**2 + 13537*o**2 - 5*o**3.\nAnswer: -5*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 73\/8 and -151\/18966.\nAnswer: 75864","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 6\/5? (a) 2\/41 (b) 3 (c) -107 (d) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 70322?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (8 + 6 - 26)*(-w**2 + 4*w**2 - w**2).\nAnswer: -24*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*i - m = -3*i + 2, 7 = -4*i + m for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 838791395?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 5439 a multiple of 111?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 1\/2 (b) 4.5 (c) 122 (d) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (14 + -8)*1\/2. Let s = 27 + -22. Sort s, -1, i in increasing order.\nAnswer: -1, i, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (201 - 187 - 103) + -2 + 2 + -1?\nAnswer: -90","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2694996*o**6 - 30*o**4 + 12*o**2 - 2938465 wrt o?\nAnswer: -323399520*o**3 - 720*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 568?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 2993719 divided by 17?\nAnswer: 2993719\/17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 890*d**6*v - 21*d**4*v - 38181*d**2*v - 2*d**2 - d*v wrt d?\nAnswer: 106800*d**3*v - 504*d*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -1492 - 7?\nAnswer: -1499","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -9631, -19233, -28821, -38401, -47979, -57561, -67153?\n\"Answer: -d**3 + 13*d**2 - 9634*d - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10*s**3 + 12*s**3 + 14*s**3.\nAnswer: 36*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -109*l**6 - 451*l**3 + 962*l**2 + 32*l?\nAnswer: -13080*l**3 - 2706","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -9.9 - -10.2. What is the closest to -3 in l, -1\/4, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xlp when three letters picked without replacement from arnrxllaxprr.\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 255 minutes before 3:58 PM?\nAnswer: 11:43 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 29887 and 104.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: (-400)\/(-56) - (-352)\/(-44)\nAnswer: -6\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = 7*j + 39. Let i(c) = -12*c - 78. Let w(h) = i(h) + 2*o(h). Let l(y) = -3 + 0 + 4 + 8*y. Determine l(w(x)).\nAnswer: 16*x + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) be the first derivative of 853*s**4 + 2*s**3\/3 + 7*s**2\/2 - 8*s - 850. What is the third derivative of l(h) wrt h?\nAnswer: 20472","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -6294 - -6349.82. Let i = -0.18 - y. Let z = -55.768 - i. What is z rounded to 2 decimal places?\nAnswer: 0.23","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 35932?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*g - 5*g = 28. Let d be 0 + (-4)\/g + 84\/294. Solve 2*z + 8 = 3*v, d = -z - 5*v - 0*v + 22 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine c so that -5*c**3 + 10*c**2 + 25*c - 30 = 0.\nAnswer: -2, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*a + 6*a = 0, a + 18 = 3*w for w.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*z**2\/3 - 284*z\/3 + 290 = 0.\nAnswer: -145, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = b**2 - 4*b - 120. Determine r(-4).\nAnswer: -88","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (20\/4)\/5 + (-32505)\/(-591).\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c\/(c**0\/c*c)*c**(-4)*c)**(-19)\/(c**(-2\/13)*c**(-1)\/c*c)**(-39) assuming c is positive.\nAnswer: c**(-7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:51 AM and 9:08 AM?\nAnswer: 197","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -2 + 0 + (-2 - -4)*(-585)\/(-78). Sort 3, -51, u in decreasing order.\nAnswer: u, 3, -51","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.012571478176 rounded to 6 dps?\nAnswer: -0.012571","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort 718, -2, -10, 8.\nAnswer: -10, -2, 8, 718","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i = -2*r - i + 4, r - 2*i = 2. Let v be (-2 - 0)*r\/(8\/38). Let h = 22 + v. Sort 1, h, 10 in ascending order.\nAnswer: 1, h, 10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*j = -3*r - 33, 219*r = 2*j + 218*r + 37 for j.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 128 a factor of 278040278?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z**1)**(-7))**3 assuming z is positive.\nAnswer: z**(-21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t*t**7\/t)**34\/(t**(-9\/4)\/(t*t*t\/(t**9\/t))) assuming t is positive.\nAnswer: t**(941\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 370597814?\nAnswer: 2, 61, 3037687","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:19 AM and 2:01 PM?\nAnswer: 402","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 2.96 - 7.96. Let r = -11\/7 + 9\/7. What is the fourth biggest value in r, -5\/2, 4, p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*r**3 - 12*r - 17 - r**3 + 10*r in the form g*r**2 + l*r + n + h*r**3 and give h.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2463389?\nAnswer: 67, 36767","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4)\/(-26) - (-45)\/((-15795)\/(-4158)).\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k = 4*k - 30. Calculate the smallest common multiple of 27 and k.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = 2*s**3 - s**2 + 2*s + 2. Let o(y) = -741*y**3 + 195*y**2 - 390*y - 390. Give -2*o(t) - 390*x(t).\nAnswer: 702*t**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -11502, -23004, -34506, -46008, -57510?\nAnswer: -69012","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 7*q**2*v + 7167*q**2 + 1551*q*v**3 - q + 2*v**3 - 1 wrt v?\nAnswer: 7*q**2 + 4653*q*v**2 + 6*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(1\/7))**(-1\/8)*(i**(3\/5))**(-38) assuming i is positive.\nAnswer: i**(-6389\/280)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 72427766?\nAnswer: 2, 97, 373339","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 1\/((-2)\/12*16\/(-24)). Suppose 8 = -f*h + 10*h. What is g in h*g**2 - 2*g**3 + 6*g**3 + 4*g**5 - 14*g**4 - 2*g**2 + 0*g**3 = 0?\nAnswer: -1\/2, 0, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10*d**3 - 36*d**2 - 30*d**2 - d**3 + 66*d**2.\nAnswer: 9*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 139, 618, 1773, 3940, 7455?\n\"Answer: 56*k**3 + 2*k**2 + 81*k","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 (base 11) in base 13?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(119)*2)\/sqrt(7).\nAnswer: -4*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 4 and -0.2027?\nAnswer: -0.8108","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is w in -6724\/9 - 410*w + 18*w**3 + 2\/9*w**4 + 3194\/9*w**2 = 0?\nAnswer: -41, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = -x**2 + 2*x + 6. Let d be a(3). Suppose v = d*v - 14. What is the highest common factor of 56 and v?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 17 + -18. Let c(g) = -8*g + 1. What is the least common multiple of c(t) and 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 o and 1 h when two letters picked without replacement from {o: 1, c: 2, h: 1, i: 5}.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -0.3 times 5731.6424\nAnswer: -1719.49272","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in 77469, -2\/17, 3, -6, -5?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -6 + 7. Suppose 0*c - 12 = -4*c. Suppose 2*f = x + c. Solve -f*a = a - 15 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 8*(-6 + 8 - (1 + -3)). Let y be i\/56 - 10\/(-7). Solve 10 = 4*x + y*m, 0 = 4*m + 4 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 - 1061.56?\nAnswer: -1058.56","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j - 152 = 40. Is 4546 - (j\/64 - (-7)\/(-4)) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 1 - 3)*(-49*m + 107*m - 43*m) + 582*m - 9 - 9 + 21 + 2 - 5.\nAnswer: 537*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 985 a factor of 314708848?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z + 26 + 180 = k, 3*k - 4*z = 643. Let r(i) = i**3 - 9*i**2 + 3*i + 7. Let h be r(9). Calculate the highest common divisor of k and h.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.037 + 363.963. Let k = z + -361. Sort 5, -4, -0.2, k in descending order.\nAnswer: 5, k, -0.2, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 6 + 13a194?\nAnswer: 13a19a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 12994861?\nAnswer: 11, 137, 8623","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 138110?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((l**(-1\/4))**(-2\/23)*l**(1\/14)*l*(l\/(l\/(l*l**(1\/2))*l))\/l)**(1\/28))**(-47) assuming l is positive.\nAnswer: l**(-8977\/9016)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: (-3)\/((-9)\/(-45)*-3)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 3783045223 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z + 3*o = 8 + 15, 96 = 5*z - 4*o. Solve -5*d = -d + z for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -27*f + 537775 + 277301 = 0. What is the thousands digit of f?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*t - 4*f + 14 + 6 = 0, 0 = -3*t - 5*f + 15 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = x**2 - 6*x + 4. Calculate n(4).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 12 - -9a2123?\nAnswer: 9a2135","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6751896.\nAnswer: 2, 3, 29, 89, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 a factor of 5458665?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 32549.5792 from -25.89.\nAnswer: -32575.4692","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = 2*g + 60. Suppose l + 10 = -5*d + 40, 4*l - 4*d - 24 = 0. Calculate the lowest common multiple of l and s(-25).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15 = -9*l - 42 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1806)\/(-43) + 11*-3?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify j**(-2\/23)*j\/(j**(6\/7)\/j)*j*(j\/(j\/(j\/((j\/j**(-1\/7))\/j))))**(-2\/19) assuming j is positive.\nAnswer: j**(859\/437)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25 - 193 = -12*t. Calculate the highest common factor of 63 and t.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 512687, 1025063, 1537439, 2049815, 2562191?\n\"Answer: 512376*l + 311","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (1\/2)\/(2\/12). Suppose 0*l - 24 = -3*l. Solve -t = r*t + l for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -4 - 2709?\nAnswer: -2712","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 0.4 times -7\nAnswer: -2.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (4 - 1) + (2 - 2). Suppose s - 2*s = -2*k, a*s = 4*k. Suppose k + 16 = -2*u + 2*b, 19 = -5*u - 2*b. Let y(h) = h**2 + 7*h + 1. Calculate y(u).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -2, -3, -120?\nAnswer: -120","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Does 39 divide 2184?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2625 is divided by 1251.\nAnswer: 123","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -12 - -23 - (-21 - (-19 - -12)).\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 585 and 455?\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = 302818*r. Let j(p) = -2*p + 598. What is f(j(w))?\nAnswer: -605636*w + 181085164","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 49405 is divided by 193?\nAnswer: 190","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put 15, -1, 3\/1127 in decreasing order.\nAnswer: 15, 3\/1127, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = -5*q**3 + 271*q**2 - 29*q - 335. Let b be c(54). Calculate the highest common factor of 2465 and b.\nAnswer: 145","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -16, -4, 2, -5 in ascending order.\nAnswer: -16, -5, -4, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(150) - (sqrt(150)*-2*2 - sqrt(150)) - (-1*sqrt(150)*-1 + sqrt(150)))\/(4*sqrt(288)\/sqrt(6)) + 0.\nAnswer: 5*sqrt(2)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -11 divided by -39508464.\nAnswer: 11\/39508464","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Product of 188.802 and 0.3.\nAnswer: 56.6406","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 28 - 2. Suppose v + 18 = g. Calculate the least common multiple of v and 14.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*l - 4476 = -1180. What is the hundreds digit of 1 - (3 - l\/4)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = -2*y + 34. Let p be f(6). Solve -4*m + p = -w, 0*m + 4*m - 20 = 0 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1034?\nAnswer: 2, 11, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 669 - -1664. Is b a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) be the third derivative of f**4\/6 - f**2 + 30*f + 87. Let z(l) be the third derivative of l**4\/4 + l**2. Give a(z(u)).\nAnswer: 24*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 123 minutes before 3:08 AM?\nAnswer: 1:05 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -133 - -137. Solve -2*h - 6 = f for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1008 divided by -4\nAnswer: 252","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 98 minutes before 10:17 AM?\nAnswer: 8:39 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = 40*m**2 - 6*m + 1. Let p be l(-1). Let c = -47 + p. Put c, -9, 5 in decreasing order.\nAnswer: 5, c, -9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1*-2*(-117)\/156?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = -k**2 + 7*k - 6. Suppose -12 - 18 = -6*p. Let q be z(p). Let y(b) = -b**2 + 4*b - 2. Calculate y(q).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 21324.\nAnswer: 2, 3, 1777","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 18*l + 12*l - 12*l + 6*l to the form z*l + q and give z.\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = -4*m**3 + 7*m**2 + 19*m - 14. Calculate g(5).\nAnswer: -244","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.05 + -0.4. Let v = 0.03 - -0.12. Let k = v - y. Sort k, -1\/7, -0.4 in decreasing order.\nAnswer: k, -1\/7, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (12\/(-3) + 6)*1. Let i be (-85)\/34*v*-1. Solve -1 = -0*f - 4*f - i*o, -5*f + o = 6 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 507 (base 9) to base 6\nAnswer: 1524","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -16? (a) -22 (b) -1\/5 (c) -1 (d) -244\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1710 and 47663514?\nAnswer: 342","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 3\/10 of a litre?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((s**6*s*(s\/((s\/s**(-3\/8)*s)\/s))\/s*s*s)\/((s\/(s*s\/(s\/(s*s*s**(1\/4)))*s))\/((s\/(s*s**(-1)))\/s)))**46)**17 assuming s is positive.\nAnswer: s**(34017\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-2)\/(-6) - (85\/(-15) - -3). Suppose -2*d - 4 = -x + d, -5*x + 20 = m*d. What is the units digit of x?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.02 - 112734846.\nAnswer: -112734845.98","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -b**5 + 308*b**4 - 2434*b**3 + 46*b**2 - 56*b - 67?\nAnswer: -60*b**2 + 7392*b - 14604","meta":{"dup_signals":{},"source":"calculus__differentiate_test"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = -1046*y + 70779. Calculate n(70).\nAnswer: -2441","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s\/(s**(-1)*s)*s*s*s*s**(1\/6))\/(s*s*s*s**4*s*s*((s*s**(1\/8))\/s)\/s))**2 assuming s is positive.\nAnswer: s**(-95\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = -246*s - 288. Let g(c) = 125*c + 144. Let b(y) = -7*g(y) - 3*v(y). Differentiate b(p) wrt p.\nAnswer: -137","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -p**3 - 6036*p**2 - 9150429*p - 126925694 = 0.\nAnswer: -3011, -14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1.6 - 1.4. Suppose 3*l - 5*s = 13, -3*l + 0*l = 2*s + 22. Which is the closest to u? (a) 3 (b) 0.1 (c) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 6313 divide 33465024?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3661081 (base 9) to base 6.\nAnswer: -110343201","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -268, -261, -250, -235, -216, -193?\nAnswer: -166","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zzzmziizzizmzzzzzmz. Give prob of sequence mm.\nAnswer: 1\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort -7, 4, -21.\nAnswer: -21, -7, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z + z + 4*y - 72 = 0, -36 = -3*z + 3*y. What is the highest common factor of 5 and z?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 78 and 858.\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -42306 (base 10) to base 5\nAnswer: -2323211","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14958 = 996*b - 98*b + 3284. Let v be 1 - (4\/(-2))\/(-2). Solve -w - 2*q = w - 10, v = 5*w + 2*q - b for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-3675)\/(-21))\/((-1)\/(-5)). Suppose z = 14*m - 21. Solve m - 55 = 3*l for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = 29*h + 458. Let w be f(-16). Let z(v) = 81*v**3 - 21*v**2 + 21*v + 21. Let n(k) = -8*k**3 + 2*k**2 - 2*k - 2. Calculate w*z(p) - 63*n(p).\nAnswer: 18*p**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -t = 3*p + 31*p - 76, -3*t + 2*p + 82 = -t for t.\nAnswer: 42","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*w + 3*g + 322703 = 322535, 0 = 3*g + 9 for w.\nAnswer: -53","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 264 minutes after 4:53 PM?\nAnswer: 9:17 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1566.4 - -1388. What is p rounded to the nearest 10?\nAnswer: -180","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -32 + 94\/3. Let b be (-20)\/(-3)*6\/4. Suppose 4*v + v = b. What is the smallest value in v, -1\/4, p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1962 and 27904.\nAnswer: 218","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 23246655 divided by -7748885.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7211*f = 4728*f - 44694 for f.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -728558*k**2*y**2 + 1146*k**2 + k*y**2 + 102*k*y wrt y?\nAnswer: -1457116*k**2 + 2*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = 5*h**2 + 26*h. Let k(g) = -g**2. Calculate c(k(j)).\nAnswer: 5*j**4 - 26*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v + 98 = -f - 29, 3*f - 487 = -4*v. Suppose h + 3*a = 6*a + 48, 3*h = -a + v. Calculate the remainder when 124 is divided by h.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (28 + 68 - 20)*(-c - 2*c + 5*c) + 0*c + 2*c + 0*c + 0*c + 0*c - c + (-1 + 1 - 2*c)*(2 - 4 + 0).\nAnswer: 157*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 1510.66371 times -1?\nAnswer: -1510.66371","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 i and 1 j when two letters picked without replacement from {w: 5, r: 3, j: 1, i: 4}?\nAnswer: 2\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-4)\/(-7) - (-20)\/(-35) - 3. Let l = 14 + -23. Let q be ((-3)\/(-8))\/(l\/(-6)). Which is the closest to -2? (a) f (b) 3 (c) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-48)\/32*(-3 - (1 - 2))?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qmllyywwwwlyqy. Give prob of picking 1 w and 1 m.\nAnswer: 4\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-10252)\/(-4660))\/((-44)\/16).\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-33 - (4 + -4)) + (5601 - 5498).\nAnswer: 70","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = 6*f**3 - 10*f**2 - f + 6. Let w(n) = n**3 - n**2 - n + 1. Let q(k) = h(k) - 5*w(k). Let t = 3 - -1. Suppose -t = 3*z - 16. Give q(z).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -851 - -855. Let q(g) be the third derivative of -7\/24*g**f - 7\/2*g**3 + 0*g + 0 - 22*g**2. Differentiate q(u) wrt u.\nAnswer: -7","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = -2*l - 4. Let j be (2\/(-4))\/(2\/(-40)). Suppose j = 3*y - 8. Suppose -g - g = y. What is r(g)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 2821797 and 41877.\nAnswer: 891","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = -4*v + 10. Let s be b(3). Let k be (12\/12)\/(s\/(-10)). Suppose -k*x + 3*n = 1282, -2*x - 2*n - 504 = -n. Round x to the nearest ten.\nAnswer: -250","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ru when two letters picked without replacement from {r: 1, o: 1, m: 1, b: 1, u: 2, v: 1}.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = k**3 - 5*k**2 - 5*k - 132. What is h(0)?\nAnswer: -132","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*f + 2*f**4 + 5 + f**2 - 3 - 8*f**3 - 5*f**2 + 2*f**2 in the form p*f**4 + h*f**2 + k*f**3 + l + d*f and give d.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f - f - 64 = -5*w, 0 = 2*w + 5*f - 19. Let j = w + -1. What is the units digit of j?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (2 - 1 - 3)*(-6*g**3 + 3*g**3 + g**3)*(-2 - 1 + 4)*(-3 + 4 + 0)*(-4 - 2*g + 4) in the form t*g + x + s*g**2 + m*g**4 + z*g**3 and give m.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 2790143 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -3 - 2*(-22)\/16. What is the biggest value in d, -5, -0.3?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -14*a + 55*a - 369. Solve -2*m = 4*h + a - 5, -h = 1 for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qeeesoeoowwe. Give prob of picking 2 w.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express 22*x + 0*x + 16*x + x**2 + 35*x + x**4 in the form a*x + c*x**3 + p*x**2 + w + b*x**4 and give p.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 26*t**2 - t**3 + 31*t**2 - 61*t**2.\nAnswer: -t**3 - 4*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0 - -1. Let b(o) = r + 0 + 0*o + 2*o. Let c be (-16)\/4*3\/(-12). Calculate b(c).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 36 * -119.4.\nAnswer: -4298.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bg when two letters picked without replacement from ychbbcmmcgmh?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*m + 15, q + 2*m - 901 + 251 = 0. Is q a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 74 + 5*r**3 - r - 74 + r.\nAnswer: 5*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i = -3*p + 10 + 5, 4*p - 20 = -4*i. Suppose -p*o + u - 293400 = -3*o, 5*o = -5*u - 733500. Round o to the nearest 10000.\nAnswer: -150000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1104*v = -762 + 16218 for v.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 45854?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 46473 to the nearest integer?\nAnswer: 216","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**2*b*b**4)\/(b**(-4\/5)*b*(b\/(b**(2\/21)*b*b*b))\/b)*b\/(b\/b**(-3))*b\/b**1*(b*b\/b**(1\/4))**27 assuming b is positive.\nAnswer: b**(22741\/420)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = -w + 2. Suppose -14*q + 30*q - 128 = 0. Give t(q).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/3 in -3\/4, 1\/15563, -10, 5\/3?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 78647251?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 2236158 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -3621 + 2490. Let h = -1140.41 - q. Round h to the nearest integer.\nAnswer: -9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.001625306 rounded to four dps?\nAnswer: 0.0016","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) be the third derivative of -m**6\/120 + 2*m**5\/15 + m**4\/6 - 3*m**3 - 11*m**2. Let n be b(8). Differentiate 0 + 0 - 5 + n*p**2 - 2 with respect to p.\nAnswer: 28*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -3.4 + -21.6. Let i = x + 24.99996. What is i rounded to five decimal places?\nAnswer: -0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -17 in -0.1377, -5, 1\/39?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = -l**3 + l + 19. Let g(x) = x**3 + 5*x**2 - 5*x + 6. Suppose -2*f - 2*f - 24 = 0. Let n be g(f). What are the prime factors of z(n)?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-801)\/(-9345)*21*1.\nAnswer: 9\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 13534 is divided by 44.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is i in i**5\/5 + 7917*i**4\/5 + 15546447*i**3\/5 - 488309449*i**2\/5 + 2509247184*i\/5 - 710670420 = 0?\nAnswer: -3974, 3, 25","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) be the first derivative of -3*k**2 - 10*k - 143. Give t(-7).\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*z - 4*t + 236, -3*z + 19*t = 24*t - 350. Solve -z*g + 109*g = -1 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 179738 a multiple of 31?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 3532107?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 0 + 1 + (4 + 2 - 5)*(-1 - 3 + 2) + 1 - 3 + 0)*(-835*f - 857*f + 537*f - 1030*f + 2).\nAnswer: 13110*f - 12","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 178785521 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -35.4166*5\nAnswer: -177.083","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.2 not equal to 61578363?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -35\/1531 + 4768\/7655. Determine v so that -4\/5 - 1\/5*v**2 + 8\/5*v - m*v**3 = 0.\nAnswer: -2, 2\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*o - 4*x - 14, 3*o = -3*x - 1 - 14 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h = d - 9198, 5*d - 6*h + 18412 = 7*d. What is the smallest common multiple of d and 2?\nAnswer: 18406","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 60\/5*-13*((-16)\/32)\/((-6)\/4).\nAnswer: -52","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 6, w: 1, n: 4, u: 7}. Give prob of sequence nn.\nAnswer: 2\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 36 and 206236?\nAnswer: 1856124","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x - 4*h - 297 = 0, -6*h = -3*h - 6. What are the prime factors of x?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = 4*a - 4*a + a - 1. Let b(l) = -5*l - 3. Let y(v) = 41 + 40 - 14*v - 89. Let j(o) = -11*b(o) + 4*y(o). Determine -4*g(d) - 6*j(d).\nAnswer: 2*d - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-504)\/42*1\/3)\/((-18)\/(-1)).\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -9 + (-1 - (8 + 0 + -28)) + -11?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = -j**2 + 5*j. Let z(l) = -7*l**2 + 105*l + 5. Calculate 5*r(y) - z(y).\nAnswer: 2*y**2 - 80*y - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = -16*u. Is 16 a factor of c(-1)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -48*m - 11115 = -61*m. What is the remainder when m is divided by 39?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.005? (a) 5 (b) 3 (c) -0.22\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 176 and 5088.\nAnswer: 55968","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 2.11 + -2.4444. Let y = p + 3.3314. Let r = -0.003 - y. Which is the fourth smallest value? (a) -5 (b) 0.4 (c) -2\/3 (d) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(143)\/((sqrt(22)*1)\/sqrt(2))*1.\nAnswer: sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -4787 + 4788. What is the closest to 2\/7 in 2, r, -2\/9?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -0.5 (b) 0.3 (c) -0.6 (d) -7 (e) 1\/11 (f) -3\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = 8*t**2 + 814*t + 1415. Calculate h(-100).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m + 6*m + 5 = 5*q, -5 = -5*q - m. What is the units digit of q?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 174 + 153 + 175 - 502 - 5*r.\nAnswer: -5*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 5 + -20?\nAnswer: -1b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 21893919 to the nearest integer?\nAnswer: 280","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = 10*m**2 + 15*m + 10. Let r(q) be the second derivative of -q**4\/12 + q - 33. Suppose -2*s - s = 15. Let z(h) = s*r(h) - n(h). Factor z(g).\nAnswer: -5*(g + 1)*(g + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = 4*z - 12. Let p(i) = 723*i - 1441. Let w be p(2). Let h(t) = 4*t - 11. Determine w*o(c) - 6*h(c).\nAnswer: -4*c + 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -63*s + 4 = -65*s - 2*r, -5*s + 4*r + 8 = 0 for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round -187.06 to the nearest 10.\nAnswer: -190","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*m + m = -10. Let c(q) = -2*q. Let p(y) = -3*y. Let g(o) = 4*c(o) - 3*p(o). Let k be g(4). Sort k, -3, m.\nAnswer: -3, m, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00003389 rounded to five decimal places?\nAnswer: -0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = o - 6. Let n be k(0). Suppose 22 = -3*h - 2*i, 0*i = 2*h + 4*i + 28. What is the units digit of 8\/n*6\/h?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = -4*z**3 + 16*z**2 - 4*z. Let u(x) = -x**3 + 5*x**2 - x. Let f(d) = -3*b(d) + 8*u(d). Find n, given that f(n) = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*n**3 + 2*n**3 - 6*n**3 + (2*n + 5 - 5)*(-2*n**2 + 0*n**2 + 0*n**2) - 3656*n**3 - 3*n - 7*n**2 + 0*n**2 + 3663*n**3.\nAnswer: n**3 - 7*n**2 - 3*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = -63*g + 9. Let u be n(-7). Suppose 5*v = 2*v + u. What are the prime factors of 4\/2*v\/12?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -72*v + 69*v + o = 14, 4*o = 20 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 54780?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-26 - -31) + 2 + -7 - 6.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 95\/3096 and -61\/4644.\nAnswer: 9288","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -3 + 1287.9\nAnswer: 1284.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Determine a, given that 6*a**2\/7 - 3062*a\/7 - 292 = 0.\nAnswer: -2\/3, 511","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is -15286571 <= -15286560?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = -2 - 2*n - n + 6*n. Let h(t) = -2*t + 1. Suppose 0 = 11*k - 16*k - 15. Calculate k*a(m) - 4*h(m).\nAnswer: -m + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1701118*2.\nAnswer: 3402236","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -224, -250, -276?\nAnswer: -302","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 155 - 155.5. Let j = -0.2 + 0.2. What is the smallest value in f, j, 2\/13?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand v**4 + 3*v**5 - v**4 + (3*v - 2*v + 2*v)*(-6*v**2 + 6*v**2 - 7*v**4) + (2*v**2 + v**4 - 2*v**2)*(-v - 2*v + v).\nAnswer: -20*v**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from jfg. Give prob of sequence fgj.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 57 a factor of 620810979?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 0.5 (b) -5\/58 (c) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -223 + 109. Let u be g\/(-10) + (-2)\/5. Let r be -3*(1 + u\/(-9)). Which is the smallest value? (a) -3 (b) -1 (c) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -626*t**2 + 626*t**2 + t**3.\nAnswer: t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:38 AM and 2:23 PM?\nAnswer: 525","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 17\/2 of a millennium in decades?\nAnswer: 850","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1862040 and 5.\nAnswer: 1862040","meta":{"dup_signals":{},"source":"numbers__lcm_test"},"subset":"dm_maths"} +{"text":"Question: (1887\/(-666))\/(2 - (-75)\/(-36))\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 38 and 1359367.\nAnswer: 1359405","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 38, 77, 116?\n\"Answer: 39*b - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -5, -0.55, 1\/4, 0.2, 4\/7, -8?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 23047176.\nAnswer: 2, 3, 960299","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = h**3 + h**2 - h + 3. Let r be d(0). Suppose 0 = -2*n + 5*o + 116, r*n + 2*o = -2*n + 348. Calculate the highest common divisor of 17 and n.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 239 a factor of 800810369?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = -19*x - 5. Let n(u) = -105*u - 28. Let w(r) = -28*l(r) + 5*n(r). Let d(a) be the third derivative of a**4\/12 - 6*a**2. What is w(d(o))?\nAnswer: 14*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.053097 to 2 dps.\nAnswer: -0.05","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 942847 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.2 + 0.1. Let t = j + -0.30000052. Round t to seven dps.\nAnswer: -0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 42, -63, 5, -207 in ascending order.\nAnswer: -207, -63, 5, 42","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -7 - (-4 + 7 + -3) - -7?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/6, -248, 2.\nAnswer: -248, 1\/6, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*r + 101705 + 2590 = -37978. What is the tens digit of r?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = 19*d**3 + 3*d**2 - 2*d. Let u be a(1). Suppose -h + u = -61. Is 27 a factor of h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 129 - 81. Suppose 3*n + 0*z = -3*z - 33, -5*n - c = -2*z. Let j = 14 + n. What is the units digit of j?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 103*o - 35*o - 28*o + 77*o**3 - 40*o.\nAnswer: 77*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b = i - 2, -4 = -2*i + b + b. Is 31 a factor of i*-1 - (-1 - 94)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -265 at least as big as 0.165?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 15, 33, 53, 75, 99?\n\"Answer: r**2 + 15*r - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = 21*m - 108. Solve 1 = 2*w + 3*n, -4*w - 2*n - m = 5 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 (base 10) in base 9?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = 554*j - 2562. Let v be a(5). What is the greatest common divisor of v and 1352?\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 61925075 = 22*h - 1105526925. Round h to the nearest 1000000.\nAnswer: 53000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = 3*t**2 + 4*t - 31. Let m be a(3). Solve -m = 33*v - 29*v for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -70*a + 63*a = 28. Put -5, 63, a, -1 in descending order.\nAnswer: 63, -1, a, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 8 + (14 - (-10 + 25))?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 616 minutes before 4:19 PM?\nAnswer: 6:03 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 540561*-0.1.\nAnswer: -54056.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 301*x + 42*x - 906 - x**3 + 1704 - 798.\nAnswer: -x**3 + 343*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1133 and 6283?\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n - 2*n = 3. Let c = 33 - 31. Let j = c + n. List the prime factors of j.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-10998)\/162)\/13 + 5.\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = -12*r**3 + 7*r**2 - 41. Let t(d) = 8*d**3 - 5*d**2 + 27. Let u(c) = 5*k(c) + 7*t(c). What is the derivative of u(p) wrt p?\nAnswer: -12*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 25*y**2 - 2*y**3 - 25*y**2.\nAnswer: -2*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 33 and -0.06?\nAnswer: -1.98","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 3\/(6\/(-8))*-1. Suppose 84 = 4*o + d. What is the greatest common factor of 30 and o?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(sqrt(117) + sqrt(117)*-1 + sqrt(117))\/sqrt(9).\nAnswer: 6*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand -y**5 + 3*y**5 - y**5 + (y**3 + 2*y**3 - 5*y**3)*(0*y**2 - y**2 + 0*y**2) + 4*y + 2*y**5 - 4*y - 4933*y**2 + 1055*y + 4933*y**2 - 1055*y + 31519*y**5.\nAnswer: 31524*y**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -2716 + 2717. Which is the fourth biggest value? (a) -3\/11 (b) p (c) 4 (d) 0.75\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 37*f - 18*f - 20*f.\nAnswer: -f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = d**3 + d**2 + 3*d - 4. Let u be l(-4). Let g = -134 - -232. Let z = u + g. What is the remainder when 99 is divided by z?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -10*h - 13*h - 529. What is the tens digit of (-43)\/2*(h + -51)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.19 + -1.02. Let w = 0.41 + -0.24. Let x = t - w. What is the biggest value in x, 0.2, 2\/9?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 147620 and 17995?\nAnswer: 305","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2*f**4*k**2 - 65*f**3*k**2 + 33*f**2*k - 4*k**2 wrt f?\nAnswer: -48*f*k**2 - 390*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -6812 + 6811.83. What is the biggest value in x, 4, 2\/9?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.02? (a) 3\/7 (b) 0.3 (c) 7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-4)\/5)\/((-2)\/10). Suppose v = -g*v. Suppose -2*k + v*k = -16. What is the units digit of k?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0 (b) 0.5 (c) -0.2 (d) -2.46 (e) 14\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -130, -305, -480?\nAnswer: -655","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 356, 706, 1044, 1364, 1660, 1926?\n\"Answer: -r**3 + 357*r","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8 + 5 + 3 + 35*l.\nAnswer: 35*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = -t + 4*o, -2*o = -2*t - 6*o + 56. Calculate the highest common divisor of t and 9936.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from iitutuuuuutuuuu. Give prob of sequence uit.\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 < 104\/13061?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = -b**3 - 18*b**2 + 69*b + 268. Calculate n(-20).\nAnswer: -312","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 14766.664 * 4\nAnswer: 59066.656","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = -1647*c - 1717. Let o(j) = -36. Let y(z) = -2*l(z) - 2*o(z). Differentiate y(d) with respect to d.\nAnswer: 3294","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 261, 2012, 3763, 5514?\nAnswer: 7265","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d + 0*i - 54 = -4*i, i = -5*d - 91. Let m(x) = -97*x - 42. Is m(d) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -121434 - -24?\nAnswer: -121410","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -f**2 - 1385*f + 9212 with respect to f.\nAnswer: -2*f - 1385","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 446355 to the nearest integer?\nAnswer: 668","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 724.8 times -0.09?\nAnswer: -65.232","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: (2 - (11 + 4)) + 12\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (17\/(-204))\/((-24)\/(-4248)). Which is smaller: f or 0.3?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = 60*p**2 + 3*p + 38. Let o(u) = 4*u + 27. Let v be o(-6). Let q(t) = t - 1. Let m(b) = v*q(b) - s(b). Find the first derivative of m(i) wrt i.\nAnswer: -120*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-50)\/(-6) - 6\/18. What is the remainder when 149 is divided by 4*(4 + (-52)\/n)\/(-1)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/5, -1, 1, 4, -1733, 0.4 in increasing order.\nAnswer: -1733, -1, 1\/5, 0.4, 1, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -84821 = -5*u + 8*s - 10*s, -3*u + 2*s + 50883 = 0. What is the units digit of u?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4.394 + 214.58543\nAnswer: 210.19143","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_test"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = 10*s**2 - 267*s - 796. What is the remainder when h(-3) is divided by 45?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1.8 - 0.2. Let a = 5 - 6. Let l = 0.08 - 0.18. What is the closest to l in p, -5, a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -m**3*n**3 - 105*m**3 + 4*m*n**3 + 2*m*n wrt n?\nAnswer: -3*m**3*n**2 + 12*m*n**2 + 2*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((35\/15)\/(-7))\/(20\/12)?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 155983104 a multiple of 44?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-18 - -16) + 3 - 19?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*p**3 - 23882837252365*p + 23882837252365*p.\nAnswer: -2*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) be the third derivative of t**9\/504 + 7*t**5\/60 - 3*t**2. What is the third derivative of a(x) wrt x?\nAnswer: 120*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = -4*d + 15. Let t(j) = 7*j - 30. Let o(c) = 5*g(c) + 3*t(c). Give o(0).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-148 - -52)\/8)\/(-27)?\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1 - -2. Let k = -1 - r. Let z = k - -2.02. What is z rounded to 2 dps?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = 2*r - 10. Let h(v) be the second derivative of v**5\/20 + 7*v**4\/12 + v**3\/6 + 6*v**2 + 4*v. Calculate the remainder when r is divided by h(-7).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + sqrt(1872)*-2 + 1.\nAnswer: -24*sqrt(13) + 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-54)\/15*1070\/(-642).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from vzxzzzvvxxvzzzxv. Give prob of picking 1 x, 2 z, and 1 v.\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 566*u - 285*u - 290*u.\nAnswer: -9*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -0.1 (b) -18.4 (c) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = -18*c + 1. Let r(v) = -19*v + 1. Let y(j) = -6*n(j) + 5*r(j). Let t be y(2). Suppose -d - t = -80. Is d composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence io when two letters picked without replacement from oioattwa.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 10\/55 + 40\/22. Suppose 1 = -a*w + 5. Suppose 31 = 2*v + 3*q, 13 = w*v - 3*q - 0. Is v a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/40 of a litre in millilitres?\nAnswer: 75","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 2\/(4\/(-22) - 16\/(-572)). Let c(b) = -4*b**3 - 5*b**2 - 25*b - 83. Is c(s) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 3030 and 3939?\nAnswer: 303","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -37 - -47. Let t(g) = -15*g**2 - b*g**3 + 16*g**2 + g**2. Let q be t(-1). What is the highest common factor of q and 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = -31*x. Let s(p) = -3*p. Determine t(s(j)).\nAnswer: 93*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1134 and 2.\nAnswer: 1134","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1\/114 - 11\/114. Let m = -0.0814 + -0.0186. What is the second smallest value in o, m, 3, -2\/3?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (4 - -351) + -4 - 1. What is the second derivative of v*a**5 + 0*a - 342*a**5 + 2*a wrt a?\nAnswer: 160*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(325) + -1)*-6 + sqrt(325) + -4 - 3*(5 + sqrt(325) + -1))*-2)**2.\nAnswer: 3200*sqrt(13) + 83600","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-116 + (-63825)\/(-552))\/(4\/(-224)).\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -33 - -97\/3. Let u = -54.3 - -54.1. Which is the nearest to u? (a) -5 (b) z (c) 0.08\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 430 and 208335.\nAnswer: 416670","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is (332\/(-415))\/(-4*(-3)\/6)?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 5880 and 357.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 0\/(-1) + 2 + -2. Let h = 29 - 15. Suppose 2*g - h = -i*g. What is the units digit of g?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -953, -1844, -2735, -3626, -4517?\n\"Answer: -891*w - 62","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 10 - 10 - (0 - -4) - 1?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -713.17 - -1064.3. Let v = n - 353. Let i = 1.870097 + v. Round i to five dps.\nAnswer: 0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00005254521 to seven decimal places.\nAnswer: -0.0000525","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (g + 3*g + 0*g)*(-28 + 11*g + 21 + 10).\nAnswer: 44*g**2 + 12*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 256.11136 rounded to the nearest 10?\nAnswer: 260","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 9856 and 488?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round 425000 to the nearest one hundred thousand.\nAnswer: 400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i = 5*a - 3990, 3989 = 5*a + 5*i - i. Is a prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = -2*r + 79. Let m be k(0). Suppose -m + 237 = 2*d. Let f = 117 - d. What is the greatest common factor of f and 114?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = 435*a**2 - a - 3. Let m(w) = 290*w**2 - w - 2. Give 7*m(c) - 5*t(c).\nAnswer: -145*c**2 - 2*c + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 12.4 * -42\nAnswer: -520.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qu when two letters picked without replacement from ktaqktqqkuaaak.\nAnswer: 3\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*g + 906 = 10*g. Let i = g + -171. What are the prime factors of i?\nAnswer: 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = g - 14. Let q = 23 + -13. Let z be m(q). Let x = -5 + 6. Which is the third biggest value? (a) z (b) -3 (c) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mbrmrnobbnbl. What is prob of sequence ro?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express (5*p**3 - 8 + 8)*(0 + 0 - 2*p) - 6*p**3 - 9*p**4 + 6*p**3 as f*p**3 + i*p**2 + s + k*p**4 + a*p and give k.\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 divided by 927941.\nAnswer: -2\/927941","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -80857 and 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 17, -0.1, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) be the second derivative of a**5\/40 + 11*a**4\/24 - a**3\/12 - 11*a**2\/4 + 6*a + 6. Factor i(r).\nAnswer: (r - 1)*(r + 1)*(r + 11)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = r**2 - 11*r + 54. Let s be z(20). Let a = s - 182. Is a a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = h**3 + 5*h**2 - 7*h - 1. Let z be w(-6). Suppose 0 = -5*r + f - 12, r = -z*f - 3 + 11. What is the tens digit of (112\/21)\/(r\/(-6))?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 28485 - 28485 + 160*o.\nAnswer: 160*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-66)\/1100)\/(16\/(-80)).\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.024 - -1.976. What is the third smallest value in r, -11, -3\/8?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -5.9 - -6. Let l = -0.78 - 53.22. Let p = l + 56. What is the closest to p in 1\/3, 3, m?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -106*j - 160 = -126*j. Suppose 23*b - j*b - 30 = 0. Suppose 1\/4 - 1\/4*m**4 - 1\/2*m**3 + 1\/2*m + 0*m**b = 0. What is m?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (56*t**2 + 8 + t - 6 - 36*t**2)*(-11 - t**2 + 11).\nAnswer: -20*t**4 - t**3 - 2*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence lgm when three letters picked without replacement from {z: 2, g: 1, l: 1, m: 1}.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1618030764?\nAnswer: 2, 3, 7, 917251","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 92\/6 + 4\/(-12). Suppose v - c = -2*v. What is the units digit of v?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g - 5*g = 8. Sort 3, g, 5, 7.\nAnswer: g, 3, 5, 7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y\/((y**(-6\/11)*y)\/y)*y)**10\/((y**(-9\/7)\/y)\/y)**(2\/45) assuming y is positive.\nAnswer: y**(88706\/3465)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify p**6\/p**19 assuming p is positive.\nAnswer: p**(-13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 50 (base 12) in base 16?\nAnswer: 3c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:33 AM and 11:21 AM?\nAnswer: 468","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1141 is divided by 4?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round 1239.77364 to the nearest one hundred.\nAnswer: 1200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.67 rounded to one dp?\nAnswer: 1.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = -3*i + 4. Let x = 8 - 11. What are the prime factors of l(x)?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = 2*w**2 + 2*w - 4. Let s be k(3). What is the common denominator of -97\/12 and 25\/s*113\/25?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n - 73 = -10. Suppose -k - 24 = -n. Suppose 2*p - 14 = 5*a, -p + 0*a - a = 0. Sort k, p, -2.\nAnswer: k, -2, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 1\/80 of a minute?\nAnswer: 750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4004489 divided by -1.\nAnswer: -4004489","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20*k - 59865 = 15*k. Suppose -3*d = 2*l - 4516 - k, -3*d = 3*l - 16488. Is d composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k + 273 = -3*m + 40, -4*m = -k + 124. What is the remainder when k is divided by 20?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 less than or equal to -638\/25?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -4911496*t + 261457 with respect to t.\nAnswer: -4911496","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*t + 5*r = 45, -51*t = -56*t + 5*r + 15 for t.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = m**2 - 4*m - 72. Let a(g) = -91*g + 739. Let j be a(8). Determine b(j).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (5\/(-40)*-8)\/((-8)\/(-16))\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -1783 - 7?\nAnswer: -178a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = 3*d**2 - 2*d + 1. Let s be w(1). Suppose 0 = 3*l + l - 28. Is 4 a factor of l\/s + 1\/2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = o**3 + 13*o**2 - 114*o + 52. What is the lowest common multiple of 176 and z(-18)?\nAnswer: 1936","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 80236557 and 9603.\nAnswer: 873","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -2\/21, -4\/9, -229, -2\/3, -0.09?\nAnswer: -0.09","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*y**2 + 32*y - 132.\nAnswer: 4*(y - 3)*(y + 11)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (b + 4*b - 1 - 6*b)*(6290 - 10*b**2 + 6194 - 14849)*(-2*b + 6*b - 3*b) to the form k*b**2 + l*b**4 + r*b**3 + p*b + j and give r.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 7, 0.5, -19?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 43*f**2*h**2*s - 13*f**2*h*s + 3676*f**2 + 2*f*s - 58*h**2*s - 88*h**2 + 22*h*s wrt f.\nAnswer: 86*h**2*s - 26*h*s + 7352","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 448, 433, 418, 403, 388, 373?\n\"Answer: -15*l + 463","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wx when two letters picked without replacement from {w: 2, x: 4}?\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 190840 (base 10) to base 15\nAnswer: 3b82a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.9 + 1. Let v be (-664)\/(-52) + 45\/195. Let s(k) = k**3 - 13*k**2 + k - 20. Let x be s(v). What is the second smallest value in l, x, 2\/25?\nAnswer: 2\/25","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.2 and -11884?\nAnswer: -2376.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 223 - -31032022?\nAnswer: 31032300","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zoowwwwwwowbwowooobw. Give prob of sequence oz.\nAnswer: 7\/380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 8 divided by 1\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(((sqrt(2299) + (sqrt(2299) - (sqrt(2299) + -5*sqrt(2299)*-2)) - (sqrt(2299)*-2 + 3))*3)**2 + -5).\nAnswer: 4158*sqrt(19) + 1013935","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 593340 a multiple of 348?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 420*k - 1383*k - 17820 + 46350 = -118809 for k.\nAnswer: 153","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kgk when three letters picked without replacement from {n: 4, p: 3, g: 1, j: 1, k: 5}?\nAnswer: 5\/546","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 9.21 + -0.21. Let c = z - 9. Let q = 5 - 3. Is q < c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = 9*y**2 + 116*y + 212. What is f(-2)?\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = 206*m**2. Let s(l) = 2*l. Give s(a(t)).\nAnswer: 412*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -87\/704 and 61\/5319872.\nAnswer: 58518592","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 - 1 = -2*n. Suppose -11*h = -16*h - 10, -p + 6 = 4*h. Suppose 426 = -p*v + 1196. What is the greatest common divisor of n and v?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*d - 3*d**3 - d**4 + 13 + d**2 - 16 - 3*d**2 as p*d**2 + u*d + b + l*d**4 + h*d**3 and give b.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = -2*q + 5. Is h(0) a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ooouucooc. What is prob of sequence ooou?\nAnswer: 5\/126","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Do 2\/5 and -1978765\/3 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-9)\/408)\/(6231\/33232).\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0 or 13\/28?\nAnswer: 13\/28","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.79 - -0.99. Let d = -1.3 - 2.7. Let t = d + 7. What is the third biggest value in -1, t, r?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -6*(-27)\/(-36)*-2\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 9320 and 67104.\nAnswer: 335520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = 6 - 6*x - 3*x + 5*x. Calculate the remainder when g(-11) is divided by 26.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify g**17*g**(-3\/10) assuming g is positive.\nAnswer: g**(167\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-8)\/5)\/(80\/200).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-23*k**2 + 3*k**2 + 0*k**2)*(1 - 2 + 2 + (3 - 5 + 0)*(5 - 3 + 0) - 12 + 2 + 60)*(3 - 3 + 2) to the form t + n*k**2 + j*k and give n.\nAnswer: -1880","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve z - 2*r - 4 = -z, -7 = -2*z + r for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = 22*d**2 + 10. Let k(p) = 23*p**2 - p + 11. Let t(j) = -6*a(j) + 5*k(j). Let m be t(-1). Let z = 23 + m. Let u(r) = -4*r + 8. Calculate u(z).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -3883*x**4 + 47538*x wrt x?\nAnswer: -46596*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 3853*d**3*f*w + 2*d**3*w + 69*d**3 + d**2*w + 17*d**2 - 2*d*f - 1589*f wrt d?\nAnswer: 23118*f*w + 12*w + 414","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 18828656 is divided by 1344902.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -351879*r**3 - 125196*r**3 + 97972*r**3 - 761783*r**3.\nAnswer: -1140886*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 366415450?\nAnswer: 2, 5, 17, 431077","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2790873, 5581575, 8372277?\nAnswer: 11162979","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 251 - 249. Suppose 6*l**3 - 33*l + 6*l**2 - 2*l**2 - 17 + 5*l**b - 1 = 0. What is l?\nAnswer: -3, -1\/2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 71*q**4*x - 18507*q**2*x - 21*q*x - 226036618*x wrt q.\nAnswer: 284*q**3*x - 37014*q*x - 21*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*n - 5 + 5 + (-6*n - 5 + 0*n + 6)*(28 + 17 + 11) to the form g + c*n and give g.\nAnswer: 56","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:51 AM and 2:45 PM?\nAnswer: 714","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1934 + -1930. What is the nearest to -10\/7 in -8, v, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2129\/4 or -1\/3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is (-13 - (6 + -22)) + 12?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*n**2 - 1116*n + 2248.\nAnswer: -4*(n - 2)*(n + 281)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (0 - 1) + (-15)\/(-3). Suppose 0 = -5*i + 4 + 1. Which is the nearest to -1? (a) n (b) i (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -337 - -334. Let l = w + 3.1412. Round l to 2 dps.\nAnswer: 0.14","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u + 3 = -4*u. Sort 3, 5, u.\nAnswer: u, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 45.49 - 0.49. Let w = z + -45.1. Let u = 93\/872 - -2\/109. What is the closest to w in 2\/3, 4, u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 324149794?\nAnswer: 2, 162074897","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is (-430)\/63 + (-2)\/(-1) - 155\/71145*-51?\nAnswer: -33\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 15121311?\nAnswer: 3, 79, 63803","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 49 minutes before 11:11 AM?\nAnswer: 10:22 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = m**2. Suppose 21 + 3 = 4*p. Let c = 10 - p. Let n(a) = 3*a - c*a - 4*a + a. What is g(n(z))?\nAnswer: 16*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 75 - 71. Suppose -2*m = -3*m + p. Suppose 184 = m*t + 4*o - 0*o, 0 = -5*t - 4*o + 225. Is t a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -53987, -53986, -53985?\n\"Answer: j - 53988","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*d = 5*y + 2*d + 40, -5*d = 5*y - 10 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -464*g = -473*g + 11916. List the prime factors of g.\nAnswer: 2, 331","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = 5*l**2 - l - 1. Let o be a(1). Suppose 0*c = -c + 1, 2*m = 5*c - o. Let r be (-55)\/(-22)*(m + 1). Solve 0*b - 15 = -r*b for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 8934 and 2412?\nAnswer: 3591468","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 946?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = -7*m**2 - 4*m - 1. Let a(z) = 2*z**2. Let y(c) = -10*a(c) - 2*w(c). Suppose 0 = -46*h + 51 - 5. Let q(v) = -v**2 + v. What is h*y(n) - 5*q(n)?\nAnswer: -n**2 + 3*n + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1013423273.\nAnswer: 19, 1559, 34213","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 144984041 and 51?\nAnswer: 434952123","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 621 divided by 350.\nAnswer: 621\/350","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = -28*b**2 - 5*b - 5. Let j(q) = 16*q**2 - q + 5. Let s(f) = 17*f**2 - 3*f + 6. Let c(h) = -3*j(h) + 2*s(h). What is -5*c(v) + 3*p(v)?\nAnswer: -14*v**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 4c0 (base 14) to base 15\nAnswer: 437","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = -4*d - 3*d + 2*d + 2*d. Let m(j) be the first derivative of -j**4\/6 - 4*j - 2. Let k(b) be the first derivative of m(b). What is x(k(o))?\nAnswer: 6*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.7? (a) -27 (b) 0 (c) -1 (d) -38 (e) 2\/5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 105, 74, 21, -66, -199, -390, -651, -994?\n\"Answer: -2*i**3 + i**2 - 20*i + 126","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 11646 and 36.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00009875 rounded to 5 decimal places?\nAnswer: -0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 24421249 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = -s**3 + 4*s**2 - 4*s + 3. Suppose -2*m + b = -7, -4*b + 0*b = -m + 7. Let y be z(m). Suppose 0 = -y*f + 3*f. Which is greater: 2\/9 or f?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1111 or 1024?\nAnswer: 1024","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1 + 1. Let j(s) = -s**2 + 7. Let t be j(-7). Let f = t - -50. Calculate the highest common divisor of v and f.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -65*k + 102*k = 115*k - 2719704. What is the units digit of k?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = -46*k**3 + 3*k**2 - 7*k + 7. Let h(x) = -23*x**3 + 2*x**2 - 3*x + 3. Let c(y) = 3*b(y) - 7*h(y). What is the third derivative of c(w) wrt w?\nAnswer: 138","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 4*b**3*g**3*t + 5*b**3*g + 2*b**3 + 2*b**2*g**2 - 232*b*g**3 - b*g*t - 6497*g**3*t - g**2 + 12*t wrt g.\nAnswer: 24*b**3*t - 1392*b - 38982*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 = 5*t - 24. Let p = 577 - 430. What is the smallest common multiple of p and t?\nAnswer: 147","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l + 2 = 5. Suppose 0 = -0*w - l*w. Suppose -5*r - 8*b + 4*b + 283 = w, 2*r = -2*b + 112. Is r a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 96051.37m in millimeters?\nAnswer: 96051370","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 6 + 4858?\nAnswer: 4865","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (0 - 1)\/(((-1)\/(-55))\/1). Let u = -46 - d. Suppose u*f - 270 = 108. Calculate the remainder when f is divided by 11.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 40.126 + -40.7. Let f = 0.006 - t. Let g = 0.78 - f. What is the second smallest value in 0.4, -0.06, g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 649113 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 1688041 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 d, 1 a, and 1 s when four letters picked without replacement from adddads?\nAnswer: 12\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = -22*b**3 + 303*b**2 + 79*b - 666. Determine g(14).\nAnswer: -540","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 8\/7? (a) 9\/8 (b) -5 (c) 5 (d) -2 (e) 2\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(2100) - -6*(sqrt(2100)*1 - sqrt(2100)))*-5)\/(-1*sqrt(1372) + sqrt(1372) + (sqrt(84) + sqrt(84)*-2)\/sqrt(3)).\nAnswer: 25*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*b**2 - 5*b**2 + 9*b**2)*((-b**2 - 2*b**2 + 4*b**2)*(13*b - 30 + 30) + (2*b + b - b)*(-4 + 4 - b**2)).\nAnswer: -11*b**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 8\/36*-3*(-3 + 36). Let g be 4 + x + 0\/(-3). Let a(o) = -o**3 - 19*o**2 - 17*o + 30. Let l be a(g). Solve -n = -4*n - l for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h**2\/7 - 94974*h\/7 + 54264 = 0. What is h?\nAnswer: 4, 31654","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 40192178 and 91?\nAnswer: 281345246","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.08, -767394, 1\/7 in ascending order.\nAnswer: -767394, 0.08, 1\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 3616447 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 19231 a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1099649823?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 7.8587 + 0.1413. Which is the closest to -1\/4? (a) h (b) 2 (c) -80\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1359*b + 2898*b - 125*b**2 - 1539*b - 171*b**2.\nAnswer: -296*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = 6*h**3 - 14*h - 14. Let d(c) be the first derivative of -1\/4*c**4 + 3*c + 102 + 0*c**3 + 3\/2*c**2. Calculate -14*d(r) - 3*u(r).\nAnswer: -4*r**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n = 2*a - 54, -4*n - 3*a - 29 = -84. Calculate the greatest common factor of 611 and n.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = -2*g - 3. Let f be m(-5). Let r be 355\/f - 6\/(-21). Suppose 4*i = i + r. Is i a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:32 AM and 4:31 PM?\nAnswer: 539","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*p - 8. Suppose 30 = p*q + 2*q. Solve -4*f = q*k - 5, -2*f - 5*k = f for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*f - g + 38, 4*f + 3*g + 31 = 2. Let u(i) = -i. Let v(h) = -6*h. Let a(r) = f*u(r) + 2*v(r). Let s(n) = 2*n**2 + 3*n**2 - 6*n**2. Give s(a(y)).\nAnswer: -y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -5096 divided by 56\nAnswer: -91","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qq when two letters picked without replacement from qqqqq?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 375, 317, 171, -105, -553, -1215?\n\"Answer: -7*b**3 - 2*b**2 - 3*b + 387","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1006 is divided by 41?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 903640394 to the power of 1\/7, to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round -29.12654 to 1 decimal place.\nAnswer: -29.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 262 less than 0.4?\nAnswer: -261.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 7901 or 861255\/109?\nAnswer: 861255\/109","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = 26*c**2 + 18*c + 83. What is the units digit of d(-10)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -3.981 - 0.019. Let q = 2 - 1. What is the third smallest value in a, q, -9?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -385 + -753. Let a = -676 - f. What is the hundreds digit of a?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 456*q + 360 = 460*q. What is the greatest common divisor of q and 9270?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) be the first derivative of -p**4\/4 + 3*p**3 - 3*p**2 - 10*p - 91. Let y(q) = 7*q**2 - q. Suppose w = 5*w + 4. Let c be y(w). Calculate u(c).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 1, j: 5, d: 7}. What is prob of picking 1 j and 1 n?\nAnswer: 5\/78","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 e and 1 r when three letters picked without replacement from {o: 9, e: 4, r: 2, k: 1}.\nAnswer: 3\/140","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = -27904*m + 892939. Determine w(32).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) be the first derivative of u**5\/5 - 67*u**4 - 26*u**3 + 396. Find the third derivative of f(r) wrt r.\nAnswer: 24*r - 1608","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -7*b**3*u + 335005*b**3 + 97741*b**2*u + 6*b*u - 2*b wrt b?\nAnswer: -42*u + 2010030","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = 5 - f**2 + 3*f**2 - 4*f - 1. Let g be r(3). Let p = 4 + 0. Solve 5*l - 5 = p*l + 3*w, -2*l - 5*w = -g for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = 24*y. Let b(s) = -4*s - 48*s - 9*s + 17*s. Determine l(b(m)).\nAnswer: -1056*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3721646?\nAnswer: 2, 641, 2903","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -26925+3658\nAnswer: -23267","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000985650829 rounded to seven decimal places?\nAnswer: -0.0000986","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.17389 + -8.57389. What is the third biggest value in 4, i, -29?\nAnswer: -29","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 350 - 342. Solve 3*b + t = -4 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/11, 37, -3\/8, 0.2, 4 in ascending order.\nAnswer: -3\/8, -2\/11, 0.2, 4, 37","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-28)\/(-56))\/(((-4)\/4)\/(-12)).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 g and 1 p when three letters picked without replacement from {g: 3, p: 2, b: 4}.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 77*u - 69*u + 17*u + 24*u.\nAnswer: 49*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify b**(-2\/11)\/((b*b**(3\/5))\/b)*(b**(1\/2))**(3\/8)*(((b**(-5\/6)*b)\/b)\/b)\/(b**(-1)*b)*b*(b*b\/b**(2\/23))\/b*b**(-6) assuming b is positive.\nAnswer: b**(-395567\/60720)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 38301011 to the power of 1\/5, to the nearest integer?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = 3*l**3 - 30*l**2 + 2*l - 45. What is j(12)?\nAnswer: 843","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -206 divided by -101.\nAnswer: 206\/101","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 181, 275, 179, -215, -1015?\n\"Answer: -18*v**3 + 13*v**2 + 181*v + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -2\/5, -0.121821, -4, 2\/11, 1\/6?\nAnswer: -0.121821","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:22 PM and 8:35 PM?\nAnswer: 253","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 59417 to the power of 1\/9, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*t + t**3 - 3*t**2 + 4*t + (25*t**2 - 24*t**2 + 14*t**2)*(-4*t - t - 3*t) - 2*t**3 + t**3 - t**3.\nAnswer: -121*t**3 - 3*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 639 is divided by 117?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*q - 24 = -19*q. Solve 2*b = 5*b - q for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -15639 divided by -39.\nAnswer: 401","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence llz when three letters picked without replacement from zlzzlzzl.\nAnswer: 5\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) be the third derivative of 13*c**2 - 17\/3*c**3 + 0*c - 1\/120*c**6 + 17\/60*c**5 + 0 - 11\/24*c**4. Is o(13) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2*n**5 + 7*n**4 + 2*n**2 - 6*n wrt n.\nAnswer: 120*n**2 + 168*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 38905605?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = 38*q**2 - 88*q - 360. What is the tens digit of w(-21)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 127, 3, -3\/7, 2\/5 in decreasing order.\nAnswer: 127, 3, 2\/5, -3\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = 9*j**2 + 2*j + 20. Suppose 0 = 5*y - 16*y - 121. Let z be q(y). What is the first derivative of -1087*l - 8*l**4 + z*l - 23 wrt l?\nAnswer: -32*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 118 - 100. What is the highest common divisor of 72 and i?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:30 PM and 12:09 AM?\nAnswer: 459","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*q**5 + 2*q**5 - 2*q**5 + (-3 + 3 - q**2)*(0*q**3 + 4*q**3 - 6*q**3) + q**5 - 2*q**2 + 2*q**2 + (q**4 + q**4 - q**4)*(-2*q - 1 + 1).\nAnswer: -q**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -32*n*q**2 - 35*n - 369834*q**2 - 167*q - 257 wrt q?\nAnswer: -64*n - 739668","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 32 - 3323d?\nAnswer: -3320b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = 2*k**2 - 20*k - 147. Let z be c(15). Let y(r) be the first derivative of -8 + 1\/3*r**z + 0*r + 13\/4*r**4 + 0*r**2. Give y(-1).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (o**3 + 1 - 1)*(o**2 - o**2 - 2*o**2) - 2*o**5 - o**2 + o**2 + 0*o**5 - 3*o**5 + o**5 - 4*o**5 + 27*o**5 + 92116*o**3 + 91940*o**3 - 184175*o**3.\nAnswer: 17*o**5 - 119*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (12*o - 2 + 4*o - 6*o)*((2 - 3 - 2)*(0 + 2 - 1) + 20 - 15 - 12).\nAnswer: -100*o + 20","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (18200\/(-1078))\/(-13) - (-4)\/(-7)?\nAnswer: 8\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (8*(-6)\/(-192))\/(18\/8).\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.2100077 - 0.21. What is g rounded to 6 decimal places?\nAnswer: 0.000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 247\/147 = 3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-17)\/((-238)\/(-168)))\/((-57)\/(-95))?\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) be the second derivative of -t**4\/3 - 77*t. Let l(b) = 14*b. Calculate l(u(z)).\nAnswer: -56*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*l - 28 = -0*l. Solve l*a - 3*j + 4 = a, -4*j - 13 = -5*a for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-272)\/(-44200))\/((-5)\/(-10) - (-3)\/6)\nAnswer: 2\/325","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = o**3 - o**2 + o + 2. Let k(v) = 340*v**3 + 15*v + 2. Let t(d) = f(d) - k(d). What is the third derivative of t(s) wrt s?\nAnswer: -2034","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine i so that 1\/3*i**5 + 0*i**4 + 2\/3 - 2\/3*i**2 + i - 4\/3*i**3 = 0.\nAnswer: -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 205 is divided by 66.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -41*v**4 + 622204*v**3 - 94814710*v wrt v?\nAnswer: -492*v**2 + 3733224*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 130162188.\nAnswer: 2, 3, 13, 233, 3581","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 11 minutes before 2:54 AM?\nAnswer: 2:43 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:04 PM and 4:31 AM?\nAnswer: 507","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 l, 1 k, and 2 b when four letters picked without replacement from bbdbdlbdblkdl.\nAnswer: 6\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -89\/292 and 111\/10.\nAnswer: 1460","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(108) + 2 - sqrt(3)) + -2)**2.\nAnswer: 75","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 5 - (-2)\/(5\/20*-2). Solve 2*y - b - v = 4*y, 2*b = -5*y - 1 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) be the second derivative of -i**4\/2 - 23*i**3\/6 + i**2 - 103*i. Let h be r(-4). Which is the closest to -3? (a) h (b) 0.2 (c) -1\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u - 3*u = 0. Suppose c = -u*c. Solve -3*w + 0*w = c for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in 4, 1\/5, -4, -3?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 3093439?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a*a**(1\/3))\/(a\/((a*a\/a**5*a)\/a*a)))\/((a**(-2\/15)\/a)\/a**(5\/4)) assuming a is positive.\nAnswer: a**(43\/60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (3 - 2)\/((-6)\/696). Let s be 1\/(-3 - 344\/a). Let i = 38 + s. What is the units digit of i?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -120028432*p**4 + 5770*p**2 + 2821?\nAnswer: -2880682368*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = 3*k + 21. Determine o(-4).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = 7*j**3 + 5*j + 1. Let g be p(4). Is g > 469?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 30319?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = -i**3 + 4*i**2 - 4*i + 6. Let r be l(3). Suppose -37 + 126 = 2*x + r*c, -c = 3. What are the prime factors of x?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 w when three letters picked without replacement from {s: 3, z: 8, w: 6}?\nAnswer: 1\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1049?\nAnswer: 1049","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 37181, 37344, 37733, 38462, 39645, 41396, 43829?\n\"Answer: 19*o**3 - o**2 + 33*o + 37130","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 f and 1 k when three letters picked without replacement from kffkkffkkfkkk.\nAnswer: 40\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = -u**2. Let y(m) = m + 1. Let w(v) = -v**2 + 14*v + 6. Let r(k) = -k**2 - 21*k - 86. Let d be r(-16). Let h(j) = d*y(j) + w(j). Calculate h(g(o)).\nAnswer: -o**4 - 8*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = -2*m + 6. Let g be x(4). Let v be (15\/g)\/((-6)\/(-8)). Calculate the remainder when 186\/14 + v\/35 is divided by 8.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2809675 to the power of 1\/5, to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f + 19*b = 16*b + 519, 2*f = -2*b - 242. Does -126 = f?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = x**3 + 4*x**2 - 2*x + 48. Give s(-5).\nAnswer: 33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = -r**3 + 5*r**2 - 5*r + 4. Let j be m(4). Let u = j - 4. Let c be (-18 - -2)*2\/u. Calculate the highest common divisor of 88 and c.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = 2*q - 1. Let t be u(7). Suppose t = y - 53. Let h = y - 39. Is h a multiple of 27?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f = 3*w - 21, -4*w + 8*w - f - 23 = 0. Solve -w*k + 20 = -2*k for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -255, -1158, -2663, -4770, -7479?\nAnswer: -10790","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -17 divided by -15\nAnswer: 17\/15","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -44208 = 23*m - 204104. What are the prime factors of m?\nAnswer: 2, 11, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = -k**3 + 3*k**2 + 10*k. Let j be u(5). Solve -5*i = b - i + 7, j = 2*b - 5*i - 12 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4142 (base 7) to base 13\nAnswer: -878","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 250.4100049364 + -250.41. What is a rounded to 6 dps?\nAnswer: 0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -236\/11 <= -20?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = -2*i - 4. Let z be r(-3). Let m be z - (2 + (0 - 0)). Solve 2*k + 2*k = m for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-11)\/(-5) - (24\/(-30) + 1). Suppose j - 129 = -2*z + 1379, -j + 1492 = -g*z. List the prime factors of j.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l\/((l**(-2\/3)*l*l)\/l))**(-26)\/(l**(2\/3)*l**(-1\/7)))\/((l\/l**(-4))\/((l**(-1)*l)\/l))**14 assuming l is positive.\nAnswer: l**(-713\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -43\/3696 and 111\/6608?\nAnswer: 218064","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 26517942 to the power of 1\/3, to the nearest integer?\nAnswer: 298","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round -430582.1 to the nearest 100.\nAnswer: -430600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 37878 and 5457?\nAnswer: 643926","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = u - 9. Let m(h) = 4*h - 16. Let i be m(5). What is k(i)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in seven eighths of a microgram?\nAnswer: 875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Determine b so that -3*b**2\/5 - 348*b\/5 - 1197 = 0.\nAnswer: -95, -21","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 80479272?\nAnswer: 2, 3, 3353303","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_test"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = 2*x**2 - 35*x + 20. Give a(16).\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p = -5*p - 16, -5*p = 3*d + 170. Let o = 110 + d. Is 20 a factor of o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 4\/(-16) - (-34)\/8. Suppose j = -o*j + 25. Let r(z) be the second derivative of -z**3\/6 + z**2 + z. What is r(j)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + (sqrt(80) + -1)*-5 - (0 + sqrt(80) + 4 - sqrt(80))*-6)**2.\nAnswer: -1200*sqrt(5) + 2900","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = q**3 - q**2 - q + 9. Let u be x(0). Calculate the greatest common divisor of 81 and u.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -59748 - -308155. Is f a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -26 - -30. Suppose 1 + t = 5*g. What is the units digit of g*(10 - 4) - 2?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3982063.\nAnswer: 17, 234239","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 52740 and 1529460?\nAnswer: 1529460","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ssdk when four letters picked without replacement from {d: 2, k: 1, s: 2}.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -2983.6 - -2984. What is the second biggest value in 0, -5, -1\/4, t?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 12\/227153 or -0.7?\nAnswer: -0.7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -22*z - 49 + 371 - 90 - 149 to the form l + f*z and give l.\nAnswer: 83","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = -76*q + 32*q + 2 + 33*q + 25*q. Calculate the lowest common multiple of k(2) and 14.\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -341790 (base 16) to base 14\nAnswer: -64c1c4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -4\/5 in 2\/15, 35, -1.7, 1, 2, 70?\nAnswer: -1.7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = -w**2. Let l(a) = -548*a**2. Calculate v(l(q)).\nAnswer: -300304*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 1c6a1 (base 14) in base 10?\nAnswer: 72661","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 24*g*z**4 - 3*g*z - z**4 - 3*z**2 - 10*z wrt z.\nAnswer: 576*g*z - 24*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:51 PM and 5:36 AM?\nAnswer: 405","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5.00468ml to litres.\nAnswer: 0.00500468","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -869, -26, 192?\nAnswer: -26","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 17598?\nAnswer: 2, 3, 7, 419","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -10 divided by 49399?\nAnswer: -10\/49399","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + ((sqrt(22) - -6*sqrt(198)\/sqrt(9))\/(sqrt(24)\/sqrt(108))*3 + 1)**2)*5.\nAnswer: 630*sqrt(11) + 218295","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 893083 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:43 AM and 8:29 PM?\nAnswer: 646","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 523?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -497 and -0.4?\nAnswer: 198.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) be the third derivative of -c**2 + 0*c**4 + 0 + 0*c**3 - 1\/30*c**5 + 0*c. Let a(y) = -15*y**2 - 7297 + 3647 + 3650. Give x(a(h)).\nAnswer: -450*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b - v = 0, -5*v - 1 - 29 = -5*b. Let w be (-2 + b)\/(7 + -5). Suppose w = 2*x + 2*x - 96. Calculate the highest common divisor of x and 16.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -u**2 + 414424152*u - 42936844440229776.\nAnswer: -(u - 207212076)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 u and 2 v when three letters picked without replacement from {d: 6, p: 1, e: 3, n: 1, u: 5, v: 3}?\nAnswer: 5\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = l**2 - 8*l + 7. Let c be ((-6)\/8*-2)\/(1\/(-64)). Let n = c - -101. Calculate the smallest common multiple of h(8) and n.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = f**3 - 20*f**2 - 10*f - 297. Let l(d) = d**3 - 17*d**2 - 9*d - 296. Let w(t) = -7*l(t) + 6*u(t). List the prime factors of w(0).\nAnswer: 2, 5, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 8 + -7 - 15\/12. Let h = 12.34 - 12. Let s = -0.44 + h. Which is the closest to -1\/2? (a) p (b) s (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = v - 5. Let z be t(13). Let p(w) = -2 - 3*w**2 + 2*w**2 + 2*w - 4 + z*w. Let s be p(8). What is the highest common factor of s and 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2.656*3\nAnswer: -7.968","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30*s + 29*s = -47. Let r = 54 + -18. Let u = r - 20. What is the remainder when s is divided by u?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 56218?\nAnswer: 2, 28109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -41677 - 127*q**3 + 45*q**2 + 41677.\nAnswer: -127*q**3 + 45*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 8 + -6. What is the third derivative of 0*z**4 - 2*z**4 - 9*z**2 + 8*z**l wrt z?\nAnswer: -48*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 5\/191 + 1031\/4393. Let u = -13 - -14. Which is smaller: x or u?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = o + o - 3*o + 3*o**2 + 3*o. Calculate the remainder when 16 is divided by p(1).\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 640499 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(3*(-5 + 1 + sqrt(684))**2 + 5 + -3).\nAnswer: -4204 + 288*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 9.796845mm in nanometers?\nAnswer: 9796845","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (-620)\/(-22) - (-4)\/(-22) is divided by 8?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-6)\/24 - (-69)\/4. Let c = b - 7. Is c <= 9?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 85*r - 46*r + 3066 = -107*r for r.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*u = 4*u. Suppose -v - r + 4*r - 514 = u, 0 = -3*v + 3*r - 1554. Round v to the nearest one hundred.\nAnswer: -500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + -1*(sqrt(4617)*2*-1)\/((sqrt(243) + sqrt(243)*2 + sqrt(243))*-6) + -2.\nAnswer: -sqrt(19)\/12 + 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Do -88\/65 and -732 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -20 in 0.5, -0.3, -6\/5?\nAnswer: -6\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = -a**2 - 9*a + 4. Let i be b(-8). What is the greatest common factor of i and 204?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = 4*q**2 + 476*q - 2389. Calculate the smallest common multiple of w(5) and 234.\nAnswer: 1638","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = -643*c - 35. Let f(q) = -124*q - 7. Give 11*f(w) - 2*m(w).\nAnswer: -78*w - 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -381 and 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*p - 20 - 84 = 43*p. Let l = -0.06 + -0.24. What is the second biggest value in 38, p, l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_test"},"subset":"dm_maths"} +{"text":"Question: What comes next: 109, 133, 183, 265, 385?\nAnswer: 549","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 137294 a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (17 - 20*a - 17)*(248 - 178 + 85).\nAnswer: -3100*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000427 to 5 dps.\nAnswer: 0.00043","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = 106*b - 34. Let v(t) = 109*t - 33. Let x(n) = -4*q(n) + 5*v(n). Differentiate x(z) with respect to z.\nAnswer: 121","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/2 in 0.4, -3\/8, 1\/25, -135, -7\/5?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 11736308 is divided by 692?\nAnswer: 680","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -5824653, -11649329, -17474009, -23298693, -29123381, -34948073?\n\"Answer: -2*v**2 - 5824670*v + 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = -3*h**2 + 149*h - 1595. Give m(12).\nAnswer: -239","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = -q**2. Let k(y) = y**2 + 2*y. Let s(g) = 45*g**2 + 4*g. Let a(d) = 2*k(d) - s(d). What is a(u(p))?\nAnswer: -43*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-655)\/262*48\/10.\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u**2\/3 - 16350*u + 834139\/3 = 0. Calculate u.\nAnswer: -49067, 17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 253 a factor of 202985948?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 4458 and 4.\nAnswer: 8916","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1018944?\nAnswer: 2, 3, 29, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 655610 is divided by 11?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = 7*y + 1. Suppose 0 = 4*d - 3*w + 7, -4*d - d + 35 = 5*w. Let m = 3 - d. Let x be h(m). Solve -a - c = x, 31 = -2*a - 3*c - 2*c for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) be the third derivative of c**5\/60 - 615*c**2. Let z(b) = -8*b**3 + 6*b**2. Calculate -5*i(f) + z(f).\nAnswer: -8*f**3 + f**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 10*n - 15*n + 5 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = -43*a**2 + 7. Suppose 253 = 137*z - 295. Let t(j) = 21*j**2 - 4. Give z*l(r) + 7*t(r).\nAnswer: -25*r**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from bxrbs. What is prob of sequence bx?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-2)\/(3\/66*-1). Suppose 3*h = -y + 206. Let b = 44 + -26. What is the greatest common factor of b and h?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = 3*u**3 + u**2 - u. Let p(m) = m**3 + 9*m**2 + 9*m + 9. Let y be p(-8). What is the units digit of x(y)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -15*30*59\/(-13275).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = l**3 - 12*l**2 - 7*l + 9. Let m be w(13). Suppose -5*v + 108 = -m. What is the remainder when 76 is divided by v?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 493 * -4.\nAnswer: -1972","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 23113 (base 7) to base 4\nAnswer: 1130002","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1632 is divided by 109.\nAnswer: 106","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = 32*f**2 - 1043*f - 2844. Determine t(35).\nAnswer: -149","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.23 + 5.23. Sort t, 4\/5, -0.04, 3 in ascending order.\nAnswer: -0.04, 4\/5, 3, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (5\/10)\/((3\/24)\/1). Solve -5*y + 5*l - 10 = 0, 5*y - z*l - 26 = -8*l for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-6)\/(-6))\/((-10)\/(-4)).\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*o**2 + 6528*o + 103424.\nAnswer: 4*(o + 16)*(o + 1616)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -3222*c**4 + 18*c**3 - 2*c + 6218149?\nAnswer: -38664*c**2 + 108*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*s - 24 = -29 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -0.32 (b) 2\/15 (c) 469 (d) -3\/5 (e) 1\/5 (f) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -5869\/3 - -1956. Let i = 1.95 - -0.05. Which is the nearest to i? (a) 1\/3 (b) -4 (c) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) be the first derivative of 1303*n**5\/5 + 103*n**2\/2 + n + 160. Find the second derivative of q(x) wrt x.\nAnswer: 15636*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = 51*g + 1. Let a be v(-2). Let u = 280 + a. Is u a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 120 and 144.\nAnswer: 720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 26217*h + 26208*h - 52424*h.\nAnswer: h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 30*u - 54*u + 57528. Is 51 a factor of u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 121 + -90. What is the remainder when o is divided by 14?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -5101 + -140?\nAnswer: -5241","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 349578693 to the nearest integer?\nAnswer: 137","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand -119*a + 263*a - 123*a + 0*a - 2*a + 0*a + (0 - 2*a + 0)*(0 - 1 - 1).\nAnswer: 23*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 4374818102 + 3171\nAnswer: 4374821273","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -219 = -5*r - 4*m, -126 = -3*r - m + 4*m. Suppose -11*n = -r - 67. Calculate the highest common factor of n and 80.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 409070 a multiple of 31?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*g + 111 + 90. Calculate the smallest common multiple of 10 and g.\nAnswer: 670","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 215766 is divided by 3651?\nAnswer: 357","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 69942 is divided by 23302?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 1, f: 9, h: 6, l: 1}. What is prob of sequence lh?\nAnswer: 3\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 9 and 1414765?\nAnswer: 12732885","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 43246.51l in millilitres?\nAnswer: 43246510","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4119.\nAnswer: 3, 1373","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:07 AM and 5:31 AM?\nAnswer: 144","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*f - 3*f - f**2)*(9*f**2 + 12*f**2 - 5*f**2)*(-3*f - f + f).\nAnswer: 48*f**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 67126 + -67125. Let b = 0.5 - 1. Let c = 0.7 + -5.7. What is the second biggest value in z, c, b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 7*q - 5*q - 48. Let j be (15 + -8)\/(2\/q). Let o be 4\/(-10)*(-39 + 4). Calculate the greatest common factor of j and o.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-210)\/(-1386)*(-570)\/(-1425).\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -j + 4*u + 7192, -4*u = -u - 6. What is j rounded to the nearest 1000?\nAnswer: 7000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*u + 0 + 0)*(2 - 1 + 2)*(-6 + 12 + 7)*(6 - 3 - 4).\nAnswer: -117*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -39*m = -27*m - 60. Let c = 57 + -57. Suppose 4*r + c*r = 2*r. Solve r = 4*b + 1 - m for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*k + 2*k - k)*(-56 + 2 - 56).\nAnswer: 110*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = 623*d - 3. Let s(p) = 51708*p - 248. Calculate 3*s(t) - 248*z(t).\nAnswer: 620*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.96 + -1.335. Let q = -35.425 + w. Let u = -32.34 - q. What is u rounded to one decimal place?\nAnswer: 3.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 4048, 4035, 4034, 4051, 4092, 4163, 4270, 4419?\nAnswer: 4616","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/3 smaller than 493.8?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = 5*i**2 - i - 1. Let p = 609 - 610. Give x(p).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-27)\/(-36)*34*(-54)\/81\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = -3*r**2 - r. Let y be a(-1). Let s(d) = -d + 2. Let u(i) = -1. Let n(x) = -2*s(x) - 3*u(x). What is n(y)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*k + 0*k + k)*(0 - 2 + 1)*(-4 + 2 - 1).\nAnswer: -3*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 461 or 1983?\nAnswer: 1983","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Work out 15366 - 261430.\nAnswer: -246064","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = 85*u + 1. Let a be y(1). Let l be (-20)\/440*11 - (-3106)\/36. Let d = l - a. What is the second biggest value in 1\/14, 3, d?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-9)\/6)\/(1 + 11\/(2156\/(-202))). Put -5, 123, y in decreasing order.\nAnswer: 123, y, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (-22 - 1)*(-3 + 1)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 34924 (base 16) to base 15.\nAnswer: 43c07","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 5 - (-8 + 3 - -8). Suppose -y*z + 24 = 4*g, -4*g + 2*z + 21 = g. Solve -8*o + 3*o + g*a = -15, 0 = -o - 2*a for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*-1*sqrt(3) + -1.\nAnswer: -6*sqrt(3) - 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify s\/(s**4\/s)*s**(1\/26)*s assuming s is positive.\nAnswer: s**(-25\/26)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let 48*c**4 - 12303*c**3 + 818160*c**2 - 16389675*c + 5042250 = 0. Calculate c.\nAnswer: 5\/16, 45, 166","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_test"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = 335*a**2 + 267*a + 543. Calculate the remainder when v(-2) is divided by 123.\nAnswer: 119","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 20 + -17. Let k be 9\/54 + (-13)\/42. Which is the closest to 0.2? (a) h (b) k (c) 1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {x: 4, q: 3}. Give prob of picking 4 x.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 504*d - 249*d - 257*d.\nAnswer: -2*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in five eighths of a millimeter?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-273)\/(-182))\/((-258)\/215)?\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-21 - 6*x + 21)*(-2 + 1 + 0)*(-x + 5*x - 2*x)*(-3*x**2 + 3*x - 3*x) to n*x**3 + q*x**2 + s + p*x**4 + c*x and give s.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -11481 + 42?\nAnswer: -1143e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.08 in 0.2, 32615, 4?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 24020 is divided by 2590.\nAnswer: 710","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 308201 a multiple of 102?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = 25*k - 16. Let p be v(1). Suppose 2*n = -p*n + 1793. List the prime factors of n.\nAnswer: 163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -65886000 to the nearest one hundred thousand.\nAnswer: -65900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 72220 is divided by 1059?\nAnswer: 208","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 897027397?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put -20, -26.3, -15 in ascending order.\nAnswer: -26.3, -20, -15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = v**3 - 5*v**2 + 3. Let j = 106 + -48. Let q be 2\/12 - j\/(-12). Is x(q) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = -537*y**3 - 40*y**2 + 6*y + 6376. Let k(s) = -s**3 + 5*s**2 - s. Let g(z) = 8*k(z) + n(z). Differentiate g(v) wrt v.\nAnswer: -1635*v**2 - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 3395988 + -221535.\nAnswer: 3174453","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert 151 (base 13) to base 5.\nAnswer: 1420","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3*5\/(-78)*(-56)\/(-140).\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: (-320)\/(-1200)*3\/(-10)\nAnswer: -2\/25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.84252 - 0.15748. Put -1\/2, -1.9, r in ascending order.\nAnswer: -1.9, r, -1\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -642832521*a**3 + 71566962?\nAnswer: -1928497563*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 4\/332675 and 63\/650?\nAnswer: 8649550","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is (3\/96*4)\/((-402)\/536)*402?\nAnswer: -67","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = -116*h + 3069. Calculate j(26).\nAnswer: 53","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1629 and 485623.\nAnswer: 181","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/10 in 1, -4, 1\/7, -3, -1\/8?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = -137*l + 697. Determine j(5).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -13042 + -1?\nAnswer: -13043","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 1028910724 at most 1028910723?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7325391?\nAnswer: 3, 1409, 1733","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) be the first derivative of -l**5\/20 - 5*l**4\/12 - 5*l**3\/6 - l**2\/2 + 32*l + 44. Let c(p) be the first derivative of u(p). Give c(-5).\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -63 divided by 1416\nAnswer: -21\/472","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 9628098*p**4 - 1498331*p**2 + 1?\nAnswer: 231074352*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 66\/97 < 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -180, -378, -600, -852, -1140, -1470, -1848, -2280?\n\"Answer: -o**3 - 6*o**2 - 173*o","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = v**3 + 3*v**2 + 2*v + 1. Let t be l(-2). Let j = t + 6. Calculate the remainder when 20 is divided by j.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 800 and 192?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 73347896 a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Total of -0.09093 and -40.1.\nAnswer: -40.19093","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = -7*c**2 - 1619*c + 2806. Give t(-233).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16*m + 5*m + 11 = 0 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 1047179 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 c(g) = 2*g**2 + 1 + 283*g - g**2 - 284*g. Let w(r) = -r**2 + 2*r - 2. Let m(k) = -2*c(k) - w(k). Let t(j) = -4*j - 2*j + 3*j. Calculate m(t(n)).\nAnswer: -9*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-10)\/65 + 140\/65. Suppose 4*u + 3 = 5*u. Solve -u*l + o*w - 16 = 0, 2*l + 3*l + 4*w = 10 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) be the first derivative of o**3 + 3*o**2 - 7*o - 6. Let h be n(-6). Suppose 2*c = z - 70, z - h = 4*c + 11. Does 16 divide z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 5 (b) 12 (c) 354 (d) 15 (e) 2\/17 (f) 207\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 16 - 30. Let l = 25 + t. List the prime factors of l.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 15, 14, 13?\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1852 + 59032. Round i to the nearest 10000.\nAnswer: 60000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.477 times -0.4?\nAnswer: -0.5908","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2*r**2*y + 7*r**2 - 80*r*y + 4588*y wrt r.\nAnswer: -4*r*y + 14*r - 80*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = -5*s**3 + 6*s**2 - 3*s - 3. Let m(l) = 6*l**3 - 7*l**2 + 4*l + 4. Determine 3*m(d) + 4*y(d).\nAnswer: -2*d**3 + 3*d**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2440, -2442, -2444, -2446, -2448, -2450?\nAnswer: -2452","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-45 - -41)\/(1\/(-13)). What is the highest common divisor of q and 676?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = -2*y**2. Let o(t) = 108125624*t. Give h(o(w)).\nAnswer: -23382301130778752*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = -13*p**3 - 13*p**2 - 4*p + 22. Let g(h) = 11*h**3 + 9*h**2 + 5*h - 20. Let j(i) = -5*f(i) - 6*g(i). Calculate j(10).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = -j**3 + 88*j**2 + 682*j + 112. Is x(95) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 58, -5, 3 in increasing order.\nAnswer: -5, 0, 3, 58","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-88)\/5 - 5\/6*35388\/73725.\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = -9340*j + 37026. Determine t(4).\nAnswer: -334","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((n**3\/n*n*n)**(-8))**(-7\/6))**(8\/5))**(-17) assuming n is positive.\nAnswer: n**(-15232\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-m**3 - 2*m**2 + 2*m**2)*(-117 + 2018 + 929 - 168).\nAnswer: -2662*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify i**(-1\/16)\/i*i**8 assuming i is positive.\nAnswer: i**(111\/16)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((4*(1*sqrt(91) + sqrt(91)) + sqrt(91))\/(4*(sqrt(7) - sqrt(175)))*-1)**2.\nAnswer: 1053\/256","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:24 AM and 4:36 AM?\nAnswer: 132","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p - p + 260 = 0. Let w = 13 - p. Let u = -26 - w. Is u prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: (16\/26)\/((-2)\/(-26))\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = -t**2 - 6*t + 10. Let j be w(-8). Let c(l) = 8*l - 1. Let z(q) = -9*q + 1. Let m(h) = -h**2 - h - 1. Let f be m(-3). Calculate f*c(y) + j*z(y).\nAnswer: -2*y + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1086 is divided by 17?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-2)\/(-24))\/(48\/(-384)).\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 34 + -32. Let q(k) be the first derivative of 0*k + 0*k**4 + 2 - 1\/3*k**3 + 0*k**g + 1\/5*k**5. Factor q(s).\nAnswer: s**2*(s - 1)*(s + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.6 - 0.07377.\nAnswer: 0.52623","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 95568 and 6864.\nAnswer: 528","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*g + 3*g + 10, f = 5*g + 13. Suppose 64 = f*w + 1. Is w prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 33 - 33. Solve f = o + o for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.0648 - 0.0648. Which is the closest to -7? (a) -2\/5 (b) z (c) -0.48\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r = -3*s - 18, -7 = 2*r - 4*r + s. Let m = -6 - -12. Is (9\/m)\/(r\/2) a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.076 and -4?\nAnswer: -0.304","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -44512*p**2 + 18748*p wrt p.\nAnswer: -89024","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = b**2 + 5*b + 2. Let w be c(-5). Put -5, -1, w in increasing order.\nAnswer: -5, -1, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.045 times -4\nAnswer: 0.18","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = 6*g. Let v(h) = 405*h**2 - 59460*h + 59460*h. Determine t(v(i)).\nAnswer: 2430*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3\/2? (a) -0.4 (b) -3984 (c) 0.7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 1608*i**4*r + 76*i**4 + 62*i**3*r**2 + 20*i**2*r**2 + 8640*i**2*r + 2*i**2 - 2*r**2 + 24*r wrt i.\nAnswer: 38592*i*r + 1824*i + 372*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = w**3 + w**2 - w + 2. Let z be k(-2). Suppose 2*i - 2*t = -i - 25, -5*i + t - 44 = z. Is 22 a factor of (-2)\/(-3) - 192\/i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n + 5*z = 25, 4*n + z - 26 = 11. Let s = 29 - n. Is 11 a factor of s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6.2062 rounded to one dp?\nAnswer: 6.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find z such that 2*z**3\/9 - 26*z**2\/9 - 28*z\/9 = 0.\nAnswer: -1, 0, 14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (17 - ((13 - 0) + -10 + 3)) + -21.\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -15, -0.03, 6, 9, 1\/6, 4, 7 in ascending order.\nAnswer: -15, -0.03, 1\/6, 4, 6, 7, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 717564461 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is (170\/(-85))\/(1\/(-4)*1)?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 46\/8 - 33\/44. Put 0, y, -4 in increasing order.\nAnswer: -4, 0, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-55*(-40)\/(-14850))\/((1\/2)\/(1\/(-8))).\nAnswer: 1\/27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is -4548255 > 0.13?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -88 = w - 2*w. Suppose 4*g - 239 = -3*a, -2*a + 150 = -6*g + 4*g. What is the common denominator of -37\/3 and w\/28*a\/12?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = -3*c**2 - c**2 + c**2 - 8 - 3*c**2 - 8*c. Let a(d) = -3*d**2 - 30*d - 14. Let o be a(-10). Let b(n) = 2*n**2 + 3*n + 3. What is o*b(q) - 5*m(q)?\nAnswer: 2*q**2 - 2*q - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c = -0*c + 5. Is c at most as big as 15?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -63 - -1a67511?\nAnswer: 1a67459","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 42 times 3.68\nAnswer: 154.56","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (46\/(-6))\/((-1)\/3). Let n = i + -14. Suppose -3*m + 4*g = -13, 0*m + 4*m - n = -3*g. What is the units digit of m?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(-2\/7))**24*(t*t**(2\/3))\/(t\/(t*t**(4\/9)*t)) assuming t is positive.\nAnswer: t**(-236\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = 25*a**2 - 8*a + 20. Let s(z) = -2*z**2 + 2*z - 5. Let u(v) = -g(v) - 4*s(v). Let m(w) = w - 55. Determine m(u(l)).\nAnswer: -17*l**2 - 55","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.2004 - -191.5996. Let l = 51.2 + y. Let o = l + -243.0306. What is o rounded to 3 dps?\nAnswer: -0.031","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1436261736 to the nearest integer?\nAnswer: 37898","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -8c129 (base 13) in base 9?\nAnswer: -427775","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -80 divided by 5.\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -7.1 + 7. Let y = -259 + 257.01. Let g = -0.01 + y. Which is the closest to 0? (a) 1 (b) s (c) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-158 + 62 + 93)\/((-27)\/5).\nAnswer: 5\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 271245326 to the power of 1\/4, to the nearest integer?\nAnswer: 128","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = z - 8*z + 1 + 5*z - 3*z - 302*z**2. Let p be v(-5). Let l = -4415 - p. Is l a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 76*w**2 - 15 - 3 + 18.\nAnswer: 76*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Work out -28377167912 - 0.2.\nAnswer: -28377167912.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 7681?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -2, 15, 32?\n\"Answer: 17*h - 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 772306197, 772306192, 772306185, 772306176, 772306165, 772306152?\n\"Answer: -n**2 - 2*n + 772306200","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x - 60 = -7*x - 4*d, -x + 3*d + 5 = 0. Calculate the greatest common divisor of 10 and x.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 16136 and 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 483231?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 13 + 111. Suppose s + 4*s = -p + k, 4*p = -5*s + 136. Calculate the remainder when s is divided by 1\/1*10\/2.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a - 2*i = -10, -2*a + 15 - 2 = 3*i. What is the first derivative of 6 + 2*c**a - 3*c**2 + 0 + 3*c**2 wrt c?\nAnswer: 4*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2)\/((7*(-1)\/6)\/((-938)\/67))?\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = -b**3 - 3*b**2 + 7*b - 1. Let n be x(-5). Suppose 4*a - 18 = -n. Let g = -28.7 + 26. What is the nearest to a in 0, g, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = 31*o + 516. Determine v(-17).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -75*i + 15 = -72*i. Solve -4*f = i*v - 3*f + 26, -2*v - 5 = -5*f for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 79\/89490 and 197\/89490.\nAnswer: 89490","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (2\/(-3) + 4\/(-3))*47\/(-329). What is the second smallest value in -123, -0.2, -1\/6, s, 26?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 59 divide 13071?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z - 3*z = -2*d + 15, 15 = -z - 2*d. Suppose 5*y - 31 = -4*o, -5*o - 3*y + 29 = -0*o. Let x(m) = -m - o - 6*m + 4*m - m**2 + 11. Calculate x(z).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 129 at most as big as 129?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (18*h**3 - 8*h**3 + 8*h**3)*(2*h**2 - 5*h + 5*h) - 3*h**5 + h**5 + 4*h**5.\nAnswer: 38*h**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -33575 - 288960 - 105631 = 8693*o + 67335 for o.\nAnswer: -57","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 33 (base 9) to base 2\nAnswer: 11110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 40 divide 12863?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 40277 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 - (2 - 0) - (0 + 5).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jjjj when four letters picked without replacement from jbjebeejjejje.\nAnswer: 3\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Does 226 divide 7410992?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -7984, -15902, -23820, -31738, -39656?\n\"Answer: -7918*f - 66","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 less than or equal to -14\/1041?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 - 3*g**2 + 5*g**2 - 5*g**2)*(3*g**2 - g**2 - 5*g**2).\nAnswer: 9*g**4 + 15*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 0 + z)*(-5*z**3 + 4*z**3 + 8*z**3 + (-3*z - 3 + 3)*(0*z + 0*z - z**2)) + (6*z**2 - 6*z**2 + 27*z**3)*(-3*z - 4*z + 6*z).\nAnswer: -17*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -3*(-2)\/6*16. Suppose 3*b - 1 = -4*q + r, 5*q - 10 = 0. Solve o - 8 = -2*z + z, 4*o = -b*z + 27 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 14003124?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = k**2 + 8*k - 12. Let w be q(-9). Let b = w - -26. Is b prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = 2*l**2 + 3*l + 3. Let r be q(-3). Let p be (4\/r)\/(2\/30). Suppose 3*c - p = 19. Solve 0 = -y - c + 3 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*m**2\/7 + 1231038*m\/7 - 126287879787\/7.\nAnswer: -3*(m - 205173)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y = -4*l - 104, -3*l - 2*y - 35 = 43. Suppose 0 = 35*k - 7*k + 532. Let n = l - k. Let x(f) = -f**3 - 8*f**2 - 6*f - 1. Give x(n).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 14\/(-21)*(-9)\/(-4)\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 103 (base 10) to base 6.\nAnswer: 251","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 88*(1\/(-144)*-34 + 45\/(-405)).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -6164, -24643, -55442, -98561, -154000, -221759, -301838?\nAnswer: -394237","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g + 75 = -2*h, 3*h + 3*g = -2*h - 135. Let j be (4\/(-12))\/((-4)\/h)*24. Let a = j + 64. Solve -o = a*d - 6*d - 15, 4*o - 30 = 2*d for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -46*o + 736 = 59*o - 13*o for o.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2040*p = -4037*p + 2025*p - 3192 for p.\nAnswer: 114","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 7 + -11. Let l be (0 + -1)*(3 + -2). Let j be 1 + l\/(-2)*4. Which is the closest to 1? (a) j (b) -5 (c) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -39484 (base 13) to base 14\nAnswer: -2aa08","meta":{"dup_signals":{},"source":"numbers__base_conversion_test"},"subset":"dm_maths"} +{"text":"Question: Does 282 divide 1018241?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.9639 - -3.9639. What is the closest to q in 6, -8, -3?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {c: 11, i: 5}. What is prob of sequence iccc?\nAnswer: 165\/1456","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-6)\/4)\/((-63)\/(-84)) - (4 - 1). Sort u, -268, 0.\nAnswer: -268, u, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (2 + -497)*8\/48*-8. Let a = r - 655. Sort a, 4, -62 in decreasing order.\nAnswer: a, 4, -62","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = -k - 1. Suppose 24 = 16*j - 33*j - 7*j. Let d(x) be the second derivative of x**3\/6 - x**2\/2 - 2*x. Calculate j*d(b) + t(b).\nAnswer: -2*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5724*a**3 + 5653*a**3 + 5665*a**3 - 17050*a**3.\nAnswer: -8*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round 6129.307133 to the nearest one hundred.\nAnswer: 6100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 2 + -2. Suppose 0 = 2*x - 5*m + 4464, 0*x + 2*x - 3*m + 4472 = s. Let o = x - -22317\/10. Calculate the common denominator of -97\/20 and o.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -43293 + 46023. Calculate the remainder when f is divided by 36.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2 + 5*k**2 - 9*k**2 - 1 with respect to k.\nAnswer: -8*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = o + 2. Let x(k) = 2*k + 3. Let u(z) = 4*z + 6. Let w(v) = -4*u(v) + 7*x(v). Let j(s) = -3*a(s) - 2*w(s). Let f(l) = -4*l**2. What is j(f(t))?\nAnswer: -4*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(1*-2*sqrt(3388))\/(sqrt(24)\/(sqrt(6) + (sqrt(6) - (sqrt(24) + -1*sqrt(24))) + sqrt(6))).\nAnswer: -66*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -b**3 + 52607*b**2 - 12791456*b + 779370892.\nAnswer: -(b - 52363)*(b - 122)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -1 (b) 0.1 (c) 2\/11 (d) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -67, -4, 393, 1, -2, 10, 2 in ascending order.\nAnswer: -67, -4, -2, 1, 2, 10, 393","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = b**2 - 13*b + 12. Calculate d(9).\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = -r**3 - 1. Let y(n) = -5*n**3 - 4*n**2 - 7*n - 1. Let v(k) = 6*o(k) - y(k). Suppose 0 = 5*g - 30*c + 29*c - 36, -5*c = g + 24. What is v(g)?\nAnswer: -35","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -74851.6189217 - -754.0395917. Let g = 74098 + t. Let c = 0.42 - g. What is c rounded to 4 dps?\nAnswer: -0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -33155, -33055, -32953, -32849?\n\"Answer: m**2 + 97*m - 33253","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 172419 is divided by 86071?\nAnswer: 277","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 147*c - 192 = 195*c for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.388602 rounded to one decimal place?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -38916695 + 0.839?\nAnswer: -38916694.161","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 89 divide 51798?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 8803200 rounded to the nearest one hundred thousand?\nAnswer: 8800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (14 + 62 - 10)*(2*k - 1 + 1)*(-2 + 3 - 2) to u*k + b and give u.\nAnswer: -132","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -3, -10, 0.1, 1?\nAnswer: -10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = -4*h. Let s(j) = -7*j**2 + 3*j + 3. Let l(n) = -8*n**2 + 4*n + 4. Let b(m) = 3*l(m) - 4*s(m). What is u(b(y))?\nAnswer: -16*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 54705037?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 112031 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f**(2\/5))**6\/((f**(2\/7)\/f)\/f**(7\/4)))\/((f**(-1\/2))**(-17\/6)*f**8\/f**(-1)) assuming f is positive.\nAnswer: f**(-583\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.148 + 0.1426. Round b to three decimal places.\nAnswer: -0.005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.4014498l to millilitres.\nAnswer: 401.4498","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 w and 2 c when four letters picked without replacement from qswaaawccawq?\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 19, 42, 57, 58, 39, -6, -83, -198?\n\"Answer: -y**3 + 2*y**2 + 24*y - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-2 + 21\/9)*9. Let v be 4*l\/(2 - -4). Suppose 0 = v*i - i - 10. What is the tens digit of i?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = m + 6*m - 14. Let s(a) = -a + 7. Calculate the remainder when 102 is divided by s(m).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 5, r: 9, l: 2}. What is prob of picking 1 a and 1 l?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -82 = -7*a + 2*g, 4*a + g - 27 = 22. Solve a = 105*w - 111*w for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1702048018.\nAnswer: 2, 11, 1093, 70783","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in c**3 + 3733*c**2 - 7469*c**2 + 3736*c**2.\nAnswer: c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1.152 - -0.152. Sort i, 0.03, -5, -2\/9.\nAnswer: -5, i, -2\/9, 0.03","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -25553 + 25823.98. Let x = u + -271.1799984. Let f = -0.2 - x. Round f to six dps.\nAnswer: -0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 12\/149 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 101 - 24. Is b prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*d + 4*l + 42, -31 = 2*d - 6*d - 3*l. Is 13 a factor of ((-15)\/d + 3)*52\/6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 90 is divided by 27?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-12)\/18 - (-1 - 0).\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -v + p + 15 - 11, -v - 26 = 5*p for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0.1, -26, -9\/4?\nAnswer: -26","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = g + 9. Let q(n) = -4*n + 25. Let s(f) = -44*f + 276. Let b(d) = -32*q(d) + 3*s(d). Let m be b(8). What is j(m)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 967842017?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 28 and 21.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 150399 and 24939.\nAnswer: 153","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = -12*r - 479. What is h(-38)?\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 10 and 647?\nAnswer: 6470","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.7 + 0.2. Let x = -29 + 33. What is the biggest value in j, 0.5, x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 11*a - 205 + 51. What is the greatest common divisor of a and 98?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:48 AM and 10:59 AM?\nAnswer: 611","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from nlbbbbblnnn. Give prob of picking 2 l.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-3)\/12 - (-74)\/264. Let g = 174 + -173. Which is smaller: g or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 115 (b) 10 (c) 525\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 28*s - 59*s + 38*s = 14 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*i + 3*i. Suppose -12 = -3*d - i. What is the second derivative of 10*y**3 + y**5 + y - 6*y**3 - d*y**3 wrt y?\nAnswer: 20*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -91082, -91048, -91014, -90980, -90946?\n\"Answer: 34*k - 91116","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from kititikkik. What is prob of sequence tit?\nAnswer: 1\/90","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 151.\nAnswer: 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 206 - 203. Suppose -x*p + 171 + 972 = 0. List the prime factors of p.\nAnswer: 3, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 909 and 27?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m + 16 + 17 = 0. Which is bigger: m or 10?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 44.3 - 42. Let j = 11.784 + -14.01. Let x = a + j. Round x to two decimal places.\nAnswer: 0.07","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*y - 9*y - 32. Let l(s) = 2*s - 7 - 9*s - s - 16. What is the units digit of l(y)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = -18*f + 431. Let r be i(24). Which is the closest to -5? (a) 79 (b) 0.3 (c) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = i**3 + 6*i**2 + 3*i - 2. Calculate g(-5).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a - 2699 = -4*h + 1955, a = -2. What is the units digit of h?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x - 22 + 4 = 0. What is the remainder when 0 + 3 + -1 + 12 is divided by x?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 368*p**3 + 1412*p**2 - 248*p - 32.\nAnswer: 4*(p + 4)*(4*p - 1)*(23*p + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*o - v + 5*v + 743, 4*o - 974 = -3*v. Does 35 divide o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 q when three letters picked without replacement from {i: 2, q: 5}.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) be the second derivative of -i**5\/210 - i**4\/42 - i**3\/21 + 19*i**2 - 44*i. Let d(a) be the first derivative of k(a). Find r such that d(r) = 0.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 70 - (39 + (-94 - -47))?\nAnswer: 78","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = -p**2 + p + 4. Let u be j(0). Suppose -u*z - o = -7*z + 23, 4*z = 2*o + 34. Let q(l) = -l**2 + 3*l + 5. What is q(z)?\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 33 + -37. What is the biggest value in c, 2\/9, 18?\nAnswer: 18","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 320.345 and 0.1.\nAnswer: 320.445","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 20*q**2 + 16 - 16.\nAnswer: 20*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify d**(-5\/6)*d**22*(d*d**(-3\/7)\/d)**(-15\/8) assuming d is positive.\nAnswer: d**(3691\/168)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/3, 4\/59, -0.2, -1, 14 in decreasing order.\nAnswer: 14, 4\/59, -0.2, -1\/3, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) -2\/5 (b) 340 (c) -7185\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w - 1 + 16 = 0. Let q(v) = v**3 - 2*v**2 - v - 2. Let p be q(3). Which is the nearest to 0? (a) 2 (b) w (c) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -74, -206, -338?\n\"Answer: -132*b + 58","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1046 - 877. What is the remainder when z is divided by 110?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 20*d + 2 - 1873*d + 0 + 497*d - 1784*d to the form w*d + h and give h.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in one twentieth of a microgram?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 4.172 + -2.345. What is n rounded to one dp?\nAnswer: 1.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 1011000 - -100?\nAnswer: 1011100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = 831*u**3 + 2 - 5*u**2 + 11*u**2 + 2*u + 3 + 5*u - 826*u**3. Let v(t) = 9*t**3 + 13*t**2 + 15*t + 11. What is 6*v(n) - 13*y(n)?\nAnswer: -11*n**3 - n + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = -16*p - 35. Let m be q(-3). Find y, given that 56*y**3 - 1 + 4 + 4 - 72*y**2 - 44*y - 12*y**5 + m + 52*y**4 = 0.\nAnswer: -1, 1\/3, 1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 1759*v**2 + v + 32269 with respect to v.\nAnswer: 3518*v + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + 4*(sqrt(405) + 2*sqrt(405) + -4 - (1 + 0 + sqrt(405) + sqrt(405))))**2.\nAnswer: -1440*sqrt(5) + 6880","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 710, 1419, 2128?\n\"Answer: 709*z + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 522*w - 260*w = 251*w + 55 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 678 minutes before 3:34 AM?\nAnswer: 4:16 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2649?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify p*p*p\/p**(2\/13)*p**(-13) assuming p is positive.\nAnswer: p**(-132\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*i**3 + 8*i**3 + i**4 - 410*i**2 + 408*i**2 in the form s*i + v*i**2 + z*i**3 + x + n*i**4 and give z.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = -u**3 + 4*u**2 - 9*u + 5. Let s be z(2). Let q(l) = 3*l**2 + 16*l + 8. Give q(s).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 56 divide 336?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) -4 (b) -31956 (c) -2\/17\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 402 minutes before 3:59 AM?\nAnswer: 9:17 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 63 - 67 - (-1)\/(5\/22). Which is the closest to -2\/3? (a) l (b) -0.4 (c) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 15168 is divided by 275.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 - (3 + -4 + 3).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 264971562.\nAnswer: 2, 3, 44161927","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Determine u, given that -2*u**3\/7 - 9880*u**2\/7 = 0.\nAnswer: -4940, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -54370 (base 10) to base 16\nAnswer: -d462","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2798965?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 91\/32 and -31\/520?\nAnswer: 2080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8.5 + -18123.922.\nAnswer: -18132.422","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -29345 (base 10) in base 4?\nAnswer: -13022201","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 175*o**3 - 32*o.\nAnswer: 1050*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 50\/(-12)*12\/(-200)*265\/106.\nAnswer: 5\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1011101 - 100101011100101110?\nAnswer: -100101011011010001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = 3031*k - 2731022. Give b(901).\nAnswer: -91","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*r - 5*z = 2*r - 11, 0 = 3*r + 2*z - 10 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round 3427.804 to the nearest one hundred.\nAnswer: 3400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 124 divided by 2\nAnswer: 62","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rcn when three letters picked without replacement from {h: 2, y: 1, c: 1, n: 1, r: 2, b: 1}.\nAnswer: 1\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -139 + -1?\nAnswer: -13a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = 37*y**3 - y**2 - y. Determine r(-1).\nAnswer: -37","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 48 = 2*k + 4*k. Suppose 12 = 4*q - k. Suppose 3*p = -q*p + 512. What is the tens digit of p?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t**0)**(-12)*t*t\/(t\/(t\/(t\/((t*t**(3\/11))\/t*t))))*t**(-1\/4))\/((t\/t**(-2\/7)*t)**(-2\/103)\/(t*t**(-2)*t**(-1\/3))) assuming t is positive.\nAnswer: t**(69835\/95172)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 5633 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (1 + -15)*-34*(-8)\/(-32). Suppose 0*o - 17 = -o. Calculate the greatest common divisor of o and h.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*w**2 - 3*w**2 - 303*w**3 - 5*w**2.\nAnswer: -303*w**3 - 8*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -428 - -428.1. Let m = -4.8 - -5. Which is the nearest to p? (a) 5 (b) 4 (c) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:48 PM and 11:39 PM?\nAnswer: 291","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.01 - -0.19. Which is the third smallest value? (a) -4 (b) 3 (c) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q*q**(-2)*q*q*q)**(21\/5)*q**(-4)*q**(2\/17) assuming q is positive.\nAnswer: q**(384\/85)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0*-4154083.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + sqrt(468) + 2 - ((sqrt(468) - sqrt(468)*-3)**2*-6 + sqrt(468)).\nAnswer: 44929","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2 + 2 - 6)*(-2207*p + 4404*p - 2196*p + 884) to the form w*p + q and give q.\nAnswer: -1768","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -717*p**3 + 2 + 5062*p - 5062*p to v + m*p + w*p**2 + l*p**3 and give v.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in j - 53 + 169 - 29 - 35 - 43.\nAnswer: j + 9","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-12)\/(-4) - 5)*-2. Solve 7*a = c*a + 12 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (26\/65)\/(2\/(-20))?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-17)\/(1496\/(-16)))\/1. Let s = 122\/5 + -24. What is the closest to 0 in s, -13, n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-7 + (-22)\/(-4))*(-1)\/93. Which is smaller: z or 1?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1*sqrt(125) - sqrt(125))*-3*-5)**2.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 595 - 594. Suppose -7*n - 16 = 4*c - 3*n, 3*n = -4*c - 12. Suppose c = 7*m - 2*m - 25. Solve a - 4*s + 3 = 0, m*s - 3 = 3*a - g for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = -i**2 - i. Let g be p(2). Let h = 9 + g. Let f = 1 - h. Let x(b) = 2*b - 1. Determine x(f).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rb when two letters picked without replacement from bcbcbbcrbcccbbb?\nAnswer: 4\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 3, -49, 1, -2 in increasing order.\nAnswer: -49, -2, 1, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(10)\/sqrt(180) + sqrt(2))*-6)**2.\nAnswer: 98","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 59 + -943\/16. What is the common denominator of 89\/36 and a?\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = 141993*m - 11992*m + 1 - 2 - 9. Let a be g(10). Round a to the nearest 1000000.\nAnswer: 1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -12 (base 15) in base 5?\nAnswer: -32","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -17 + 23 - (2 - (1 + 0))?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = -77 - g**2 - 32*g + 23 + 26. What is s(-31)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(-1 + sqrt(392) + sqrt(392))**2*-3.\nAnswer: -23535 + 840*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 30582 (base 12) to base 8\nAnswer: 173062","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is (2112\/(-10))\/((-10)\/925) + -5 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*u + 0*u = 4*u for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -5.38 - -5.18. Let o = 0.06 - -0.04. Put o, j, 5\/3 in decreasing order.\nAnswer: 5\/3, o, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 166, 259, 404, 595, 826, 1091, 1384?\n\"Answer: -y**3 + 32*y**2 + 4*y + 131","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 432062979?\nAnswer: 3, 2467, 58379","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 286646 is divided by 143323?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 27 and 285.\nAnswer: 2565","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express (b**4 - b**4 + 2*b**4)*(1320 - 2633 + 1332) as i*b**2 + g*b + m*b**3 + h + q*b**4 and give q.\nAnswer: 38","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = 2*m**2 + 5*m + 1. Let g be k(-8). Calculate the remainder when g\/4 - (-4)\/(-16) is divided by 6.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v + 18 = -d, 0*v + 20 = 5*v. What is the lowest common multiple of 9 and (-2266)\/(-110) - 4\/d?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 78695503\/3 and 26231835 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(63) + 0 + 0 - sqrt(77)\/(sqrt(44)\/sqrt(4)*5))**2.\nAnswer: 1372\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -39, -75, -109, -141, -171, -199?\n\"Answer: o**2 - 39*o - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) be the second derivative of -103*q**3\/6 - 59*q**2 - 7*q + 2. Differentiate f(t) wrt t.\nAnswer: -103","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.54 + 0.26. Let m = 20.8 - r. Let z = -20.66 + m. Round z to 1 dp.\nAnswer: -0.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 6647330, 13294673, 19942016, 26589359, 33236702, 39884045?\nAnswer: 46531388","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 109 - ((27 - -44) + -8)?\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 7090.914um in millimeters?\nAnswer: 7.090914","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = 28*i + 11. Let h(v) = 9*v + 4. Determine 7*h(f) - 2*l(f).\nAnswer: 7*f + 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y - 8999 + 51879 = 0. Suppose 18*a + y = 14*a. What is a rounded to the nearest one hundred?\nAnswer: -2700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1.06 - 0.86. Is -0.8 greater than b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-6 + 5 + 6)*(6*p - 2*p - 3*p)*(-91 - 29*p + 20*p + 2*p) to the form v + w*p**2 + m*p and give w.\nAnswer: -35","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 172 minutes before 9:12 PM?\nAnswer: 6:20 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round -19290 to the nearest 1000.\nAnswer: -19000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 370389, 370456, 370575, 370746?\nAnswer: 370969","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1, 32, 89, 170, 275?\nAnswer: 404","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 126, 924, 3452, 8688, 17610, 31196, 50424?\nAnswer: 76272","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 3\/5 (b) 0.2 (c) 248 (d) -4 (e) 2\/17 (f) 0.43\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) be the first derivative of 0*g**5 - 33 - 26\/3*g**6 + 0*g**3 + 2*g**2 + 0*g**4 - 3*g. Find the second derivative of c(v) wrt v.\nAnswer: -1040*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let k = -68 + 66. Let w be ((-4)\/(-8))\/(k\/(-12)). Suppose w*x = -8*x. Which is the closest to -3? (a) x (b) -3 (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 223*n - 5858 - 1786 - 3327 = -2720 for n.\nAnswer: 37","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 28.2 in 1075, -3\/4, 4, 0, -2, -0.5?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 51\/110 - 1\/110. Calculate the common denominator of b and 28\/10*(-40)\/10.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = 105*l**2 + 33*l + 317. Is y(-16) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1719 is divided by ((-500)\/(-30))\/((-5)\/(-6)).\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-14)\/2 - 95\/(((-5)\/24)\/(80\/(-960)))?\nAnswer: -45","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*x + x + 9. Suppose -2*m + 20 = -2*u - 0*u, -4*m + 29 = -x*u. Let a = u + 18. What is the units digit of a?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -51427\/2603504 - -2\/5611. Calculate the common denominator of 37\/1160 and f.\nAnswer: 2320","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.237 + 44.237. Let d = 106051.6 + -106095.5779. Let u = d + h. Round u to three decimal places.\nAnswer: 0.022","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -149 + 153. Suppose -m*q + 150 = 5*k + q, -k = -5*q - 36. Let r = -15 + k. What is the remainder when 44 is divided by r?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 176008 and 3408808.\nAnswer: 3592","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -229*h**2 + 109*h**2 + 120*h**2 - 1141 - 791*h**3 wrt h.\nAnswer: -2373*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = -1533*i**3 - i**2 + 2*i - 1. Let t(r) = 6131*r**3 + 4*r**2 - 9*r + 5. Let s(m) = -2*t(m) - 9*z(m). Is s(1) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16 a factor of 1072?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (7 + -4)*(-11)\/(-1). Find q such that -3*q**2 + 33*q**5 - n*q**3 - 3*q**2 + 12*q**2 - 6*q**4 = 0.\nAnswer: -1, 0, 2\/11, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = -2*q**3 - 11*q**2 + 6*q. Let f(x) = x - 1. Let z be f(-5). Let y be r(z). What is the tens digit of -1 + (25 - y) + -2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -25325 bigger than -25332?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.06 - 0.04. Let a = 1.1 + b. Which is smaller: a or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 450 and 9675?\nAnswer: 225","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j\/(j*j**(-17)*j*j))\/j**(9\/2))\/(j*(j*(j*j**13)\/j)\/j*j*j)**(-13\/6) assuming j is positive.\nAnswer: j**(271\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:20 PM and 11:15 PM?\nAnswer: 655","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/6? (a) 14 (b) 2\/5 (c) -5 (d) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 2.735 - -0.412. Let c = -0.047 + t. What is c rounded to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f + 5*x - 15 - 3 = 0, -4*x = 0. Let q = f + -6. Suppose 0*a - a + 4 = q. What is the lowest common multiple of a and 20?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = f**2 - 10*f - 49. Let n be -5 - ((-4)\/8*-4 + 0). Calculate the remainder when u(n) is divided by 25.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3882048712?\nAnswer: 2, 139, 3491051","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) 4\/9 (b) 5 (c) 4\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (16*s + 10*s - 3*s + 9*s)*(-3 + 4 - 3)*(1 + 4 - 2).\nAnswer: -192*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4388 + 2195 + 3503*p + 2193 - 40*p.\nAnswer: 3463*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 7110756?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence aa when two letters picked without replacement from uas.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 111 + -1202123?\nAnswer: -1202012","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:16 PM and 1:36 AM?\nAnswer: 260","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s - 329*h = -332*h - 5, 18 = -3*h. Solve -38*j - 4*r = -34*j + 16, -3*j - 4*r - s = 0 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-44*p**2 - 5343*p + 5343*p)*(-46*p - 4 - 43*p + 83*p)*(-4*p - p + 3*p) to h*p**2 + m + c*p**4 + z*p + u*p**3 and give u.\nAnswer: -352","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -58\/10644561 and 26\/1863?\nAnswer: 31933683","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -31\/4 in -12, 2520, 3\/2, 3, 7?\nAnswer: -12","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = k**2 - 5*k - 12. Determine p(-2).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -1622585*b + 3381609.\nAnswer: -1622585","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 10393017, 10393014, 10393011?\nAnswer: 10393008","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 2319 and 39.\nAnswer: 30147","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 118 divided by 59\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -2122201211 (base 3) in base 7?\nAnswer: -305314","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 1292.8 times -0.1917\nAnswer: -247.82976","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -3265 less than -0.24?\nAnswer: 3264.76","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f = 4*u - 4591, 2377 = 3*u + 5*f - 1058. What is the remainder when u is divided by 29?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-4)\/14 - 1464\/(-28). Suppose -3*w - 2*h + c = 0, 0 = -3*w + 5*w + 4*h - 24. Solve 4*p + p = w for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = -519*s. Let v(w) = 21*w**2 - 36*w + 18. Let j(k) = 6*k**2 - 10*k + 5. Let y(x) = 18*j(x) - 5*v(x). Calculate f(y(l)).\nAnswer: -1557*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = r**3 + 36*r - 12. What is j(0)?\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:23 AM and 5:27 AM?\nAnswer: 244","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1001 + 100?\nAnswer: -101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -98, -96, -92, -86, -78, -68?\n\"Answer: j**2 - j - 98","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 22 - 10. Suppose 16*u = q*u. Let v(j) = j**3 - 2*j**2 + j + 2. Let t be v(u). Which is the smallest value? (a) t (b) -48 (c) -1\/4 (d) 1\/6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -4 - -7. Suppose 5 = -2*x + 3, -3*w - 3*x = -l. Solve 3*a = 3*g - 0*g - 12, -g = 2*a + w for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*o + 2 + 3. Let y(p) be the third derivative of 7*p**6\/120 + p**5\/60 - p**3\/6 + p**2. What is y(o)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 9717, 38891, 87535, 155667, 243305?\n\"Answer: 3*o**3 + 9717*o**2 + 2*o - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6353 is divided by 3176?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 173306 + -12533. Is w composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q + 3883 - 523 = -3*y, 2*y - 10 = 0. Is 9 a factor of q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5288 at most as big as 5251?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = -2*b + 13. Let r be c(7). Let m = 1 + r. Suppose m = -0*g - g - 5*l - 3, -l - 11 = -5*g. Solve 0 = 4*w + 5*i + 21, 4*i + 2 = -g for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000506957493 rounded to six decimal places?\nAnswer: -0.000507","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*f = -369 + 450 for f.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b - 1 = 3*r, -67*b = 5*r - 63*b + 11. Let i = -52 - -63. What is the highest common divisor of i and r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 93 divide 8742?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from cuuugucucwdj. Give prob of sequence cj.\nAnswer: 1\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve r = -2, 4*h - 18 = -5*r + 4*r for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 28330*x - 28115*x + 10535 = 0 for x.\nAnswer: -49","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 7 + -3. Suppose d*j - 17 = 31. Suppose -j - 7 = -c. Is c composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 156 minutes before 10:36 PM?\nAnswer: 8:00 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 150789.\nAnswer: 3, 50263","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kl when two letters picked without replacement from {l: 18, k: 2}.\nAnswer: 9\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -1\/4, -126, 3, -2\/7?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express -12930*m**2 - 7 - 12*m - 4*m + 12931*m**2 in the form d*m**2 + q + y*m and give d.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i*i**(-3)*i**1\/i)\/(i**3\/i**(2\/17)) assuming i is positive.\nAnswer: i**(-83\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j + 95 = 5*b, -2*j + 67 = 4*b + 19. Suppose 4 = 9*y - j. What are the prime factors of 2 + -3 + (y - 0) + 121?\nAnswer: 2, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = w**2 - 698*w - 236907. Give r(-250).\nAnswer: 93","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p - 16 = 4*q, 54*q + 24 = -3*p + 51*q. Let b be ((-4)\/(-10))\/((-6)\/40). Which is bigger: p or b?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 117 and 324?\nAnswer: 4212","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.03 - 0.1. What is the third biggest value in -1\/10, 13, y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 3 - 6d?\nAnswer: -6a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*q + 14 = 2*g, -651 + 1982 = -g + 682 + 650 for q.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*a**3 - 3*a**3 + 3*a**3 + (-77*a + 28*a + 39*a)*(0 + 2*a**2 + 0) - a**3 + 0*a**3 - 4*a**3 to the form p*a**3 + j*a**2 + t + v*a and give p.\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -289*k = -296*k + 59990. What is the units digit of k?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 7 - 6. Let x = 2 - 2. Which is the closest to v? (a) 5 (b) 4\/7 (c) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 0.06552 and -737.8.\nAnswer: -737.73448","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = u**2 + 117*u - 4756. Let i be b(-149). Determine m, given that 2\/3*m**4 + 0 + 16\/3*m**3 + i*m + 14*m**2 = 0.\nAnswer: -3, -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (8084 + 1916 + 1010)*(-2*h + 0 + 0).\nAnswer: -22020*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -4 - -377801?\nAnswer: 377797","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 80891 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 281 - 1135\/4. Calculate the common denominator of v and -33\/8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) be the first derivative of -z**4\/4 + z**2 - z + 2. Let p be q(2). What is the third biggest value in -0.4, p, 5?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 16102 is divided by 233.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = s**2 + 3*s + 4. Let m(z) = 2*z**2 + 7*z + 8. What is 6*m(p) - 15*t(p)?\nAnswer: -3*p**2 - 3*p - 12","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 308*y - q - 21 = 313*y, -10 = -2*y - 5*q for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -17*y - 743563 + 743563 + 71*y**2 + 41*y**2 to u*y + z*y**2 + q and give u.\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 1394 a multiple of 34?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 142, 278, 416, 556, 698, 842, 988?\nAnswer: 1136","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand -8*w**3 - 13*w**4 + 8*w**3 + 0*w**2 + 0*w**2 + w**4 + (0*w + 2*w + 0*w)*(6*w**3 - 6*w + 6*w) + 0*w**4 + 0*w**4 + 2*w**4 + 0*w**4 + w**4 + w**4.\nAnswer: 4*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 6 - 2)*(4*r - 6*r + r) + 6*r + r - 3*r + 4*r - 3*r - 2 - 2*r.\nAnswer: 2*r - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p - 7 - 13 = 0, -r = -2*p + 509. Let l = r + 739. List the prime factors of l.\nAnswer: 2, 7, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = 4*m**2 - 5*m + 3. Let p(b) = -7*b**2 + 11*b - 5. Let s be 7 - 11*8\/44. Determine s*i(d) + 3*p(d).\nAnswer: -d**2 + 8*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 3043 to the power of 1\/2, to the nearest integer?\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -0.98 times 4\nAnswer: -3.92","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20*w - 4*c = 64, 5*w + c - 12 = 3*w for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 492781193?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -28, -43, -48, -37, -4, 57, 152?\nAnswer: 287","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((r**9*r)\/(r**13\/r*r)*r**(2\/31)\/(r\/r**(-11)))**(-8))**(-17) assuming r is positive.\nAnswer: r**(-62968\/31)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) be the first derivative of -2\/3*m + 1\/6*m**2 + 5 + 1\/9*m**3. What is x in f(x) = 0?\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-24)\/(-36) - 16\/6.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v = 3*a - 4, -4*v + 0*v - 20 = 0. Put 1, a, 6 in decreasing order.\nAnswer: 6, a, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = 10*v + 2. Let x(r) = -2*r**2 - 817. Determine x(h(g)).\nAnswer: -200*g**2 - 80*g - 825","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = -g**3 - 2*g**2 - 2*g + 41. Give l(5).\nAnswer: -144","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = 1150610*d. Let c(w) = -8*w**2. Calculate c(p(s)).\nAnswer: -10591226976800*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 0.1 times 1797.3683\nAnswer: 179.73683","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = 4*q - 16. Let w be v(13). Let b = w - -42. Is 44 a factor of b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = 7*d - 2. Let v be j(11). Suppose 4*w + v = -141. Is 29 a factor of 3\/(-6)*(w - 4)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z - 52 = 60. Let b be -3*(z\/6 + 1). Suppose b*g - 14*g = -9. Solve g = -3*m - 0 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((3 + ((sqrt(363)*1*-2 - sqrt(363)) + sqrt(363) - (sqrt(363)*-2*-5 - sqrt(363))) - -5*(sqrt(363)*-2 + -5)*6)*-2)**2.\nAnswer: 918456*sqrt(3) + 7405968","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 306412?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is (-49)\/21 + (-68)\/(-6)?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 54 - 24. Let t(d) = d**3 - 6*d**2 + 10*d - 6. Let j be t(6). Let w = j - i. Calculate the highest common factor of w and 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -7900 - -7904. Let b(h) be the first derivative of -1\/24*h**z - 5 + 5\/6*h + 1\/6*h**3 + 3\/4*h**2. What is a in b(a) = 0?\nAnswer: -1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10491*m = 10500*m - 180. Let a(b) = -b**3 - 6*b**2 - b. Let y be a(-6). Solve w - m = y*w for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 81*w**2 + 10*w**5 - w**3 + 3*w**3 + 115*w**4 - 115*w**4 wrt w.\nAnswer: 600*w**2 + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 42 - (16 + 20) - ((2 - -3) + 0 + 47)\nAnswer: -46","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -40 + -14*162\/(-252)*(-20)\/(-12)?\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -0.7, 2, 0.1 in decreasing order.\nAnswer: 2, 0.1, -0.7, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = -14*u**3 - 4*u**2. Let t = 281 + -266. Suppose -8*k = -t*k - 175. Let i(z) = 85*z**3 + 25*z**2. What is k*r(g) - 4*i(g)?\nAnswer: 10*g**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 26.946 - -0.054. Let q = 26.7 - i. What is the third biggest value in 6, q, 2\/3?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = 3*n - 4*n - n**2 - 9*n - 2. Suppose 4 = -5*w - 31. Is g(w) a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 276258\/(-864710) - (-18)\/(-165)\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -5 - -8. Suppose -h = -y - 5, -f*y - 2*y - 5 = 0. Suppose 12 = 3*p - 6*l + l, 33 = 5*p - h*l. Is p a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -356*d = -347*d - 72 for d.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3068*h + 4*u = -3067*h - 14, u = 2*h + 7 for h.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-2220)\/(-2664))\/((-10)\/69).\nAnswer: -23\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -12983, -25985, -39015, -52085, -65207, -78393, -91655, -105005?\nAnswer: -118455","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = -i + 13. Let y(v) = 331*v + 2328. What is the remainder when y(-7) is divided by t(8)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 6\/7 (b) -2\/7 (c) -17 (d) -1\/4 (e) 3\/7 (f) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -x - 4*l + 25, -4*l + 13 = 4*x - 27 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Divide -315 by -363.\nAnswer: 105\/121","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 75505665?\nAnswer: 3, 5, 23, 218857","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify o**(-28)*o*o\/((o\/((o**(-27)\/o)\/o))\/o) assuming o is positive.\nAnswer: o**(-55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -11 - 1033?\nAnswer: -1110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -23 + 21.3. Let k = -1644 - -1654. Let u = k + j. What is u rounded to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 2\/(-1) - ((-36)\/(-3) - 0). Let c = z - -65. Let s = c - 35. What is the highest common divisor of s and 256?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*v - 2*m = -42, 2*v + 3*m + 205 - 218 = -2*v for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(-1 + sqrt(304)).\nAnswer: -24*sqrt(19) + 6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = -322*m + 633. Give f(1).\nAnswer: 311","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -1\/17 (b) -3 (c) -53\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1.4 + 16.6. Let m = 18.32 - i. Let p = -0.19 + m. What is p rounded to 1 decimal place?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = d + 7. Let s be k(-5). Suppose -3 = 4*b - 3*b, 0 = -p - 4*b - 10. Let w be 3 - 20\/(-5) - p. Solve -w*z + s = 7 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ccrcrc. What is prob of sequence rc?\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 427284 and 149028.\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 844\/1001 - -2\/143. Factor 4\/7*h + 2\/7*h**3 + i*h**2 + 0.\nAnswer: 2*h*(h + 1)*(h + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 855801110761 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-2160)\/135 + 210\/13. What is the nearest to 4.4 in -4, 2\/3, j, 0?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*o - 8 = 4*p, 19 = 4*p + o + 21 for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 2 - (-2 - 1\/(-1)). Let q be (-39)\/130 + 115\/50. Suppose a*l - 2245 = -q*l. Is l composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ccc when three letters picked without replacement from cccccc.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*a = a, 2*a - 20 = -5*b. Suppose -190 = -b*c + 66. Is c a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 133037 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 8008, 17105, 26202, 35299?\nAnswer: 44396","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -28.23975 to zero decimal places.\nAnswer: -28","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1915065 is divided by 117.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1578?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = 13100130*y. Let z(d) = 2*d. What is z(j(k))?\nAnswer: 26200260*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 26*c**2 + 2*c**2 + 0*c**2 - 2 + 2.\nAnswer: 28*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 980 and 1330.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -60233 (base 7) in base 8?\nAnswer: -34300","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (88\/55)\/((-6)\/(-195)). Let k = v - 17. Calculate the remainder when k is divided by 12.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -56554566\/28132601 - -1168\/581. Let w = 4890485\/871578 + g. Calculate the common denominator of -97\/18 and w.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 41 - 39. Let r = 96 - 284\/3. Sort y, -0.1, r, 0.\nAnswer: -0.1, 0, r, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 624 and 23457.\nAnswer: 4879056","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = -2*u**2 - u + 7. Let o be d(-5). Let n = 95 + o. Let c be (-169)\/(-9) + 2\/9. What is the highest common factor of c and n?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 - (2 + -28 + 34 + (34 - -3))?\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (84\/7)\/((-66)\/44).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:55 PM and 10:55 PM?\nAnswer: 360","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 48 - 67 - (4 + 3 - -1).\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2 + -9 - (-370)\/30)\/(16\/732)?\nAnswer: 61","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -39 = -2*s + v - 33, -5*s + 3*v = -16 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 181516*n**3 - 5*n**2 + 19427928?\nAnswer: 544548*n**2 - 10*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -2218 + 2222. Let g(b) = 11*b + 2*b**2 - 3*b**2 + 4 - 3*b. Let n be g(8). Solve -w*h + 0*h = n for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 7, d: 9}. What is prob of picking 1 d and 1 t?\nAnswer: 21\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 v and 1 m when four letters picked without replacement from {m: 3, t: 5, v: 3, y: 6}.\nAnswer: 3\/2380","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -1, -12\/13565, -4, -4\/13?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = -h**2 - h - 7. Let u = 6 - 4. Let l be u\/4 + (-1)\/2. Give k(l).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 65*n = 61*n - 24. Let a(x) = -x**3 - x - 1. Let d(m) = 4*m**3 + 6*m + 9. Calculate n*a(b) - d(b).\nAnswer: 2*b**3 - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = -45*n**2 - 18*n + 18. Let y(d) = 13*d**2 + 5*d - 5. Let i(h) = -5*c(h) - 18*y(h). Let j(u) = -4*u**2. Determine j(i(w)).\nAnswer: -324*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor -47 - 40*h**2 - 6*h**3 - 2*h**3 - 3*h**3 + 6*h**3 - 63 + 155*h.\nAnswer: -5*(h - 2)*(h - 1)*(h + 11)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -35*p + 564*p = 40*p - 489 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 344?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.04? (a) -3\/4 (b) 1\/4 (c) 2 (d) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 17829 a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -14225 and 3.\nAnswer: -42675","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 7204 to the nearest integer?\nAnswer: 85","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 988 - 731. What is the remainder when i is divided by 67?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = 8*z + 40. Let j be p(-15). Let a = 92 + j. Differentiate -2 + a*r + 2 - 8 + 1 wrt r.\nAnswer: 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3840991 to the power of 1\/2, to the nearest integer?\nAnswer: 1960","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 36589.\nAnswer: 7, 5227","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -16 + 72. Let s = j + -56.00365. Round s to four dps.\nAnswer: -0.0037","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -3 (b) 4 (c) -1.55\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Add together -0.22366926074 and -8.6.\nAnswer: -8.82366926074","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -3\/3112 - -39301\/12448. What is the common denominator of w and 27\/220?\nAnswer: 1760","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = l**2 - 10*l - 55. Let b be i(14). Let m be (-7 - -8 - (-3)\/b) + 0. Calculate the greatest common divisor of 292 and m.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 1\/(-3)*-1*165. Suppose 19 - 7 = -4*j, 4*q - 4*j = 20. Find the common denominator of 1\/22 and (g\/(-20))\/(q\/(-4)).\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1.5 times 4177\nAnswer: 6265.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) be the third derivative of 0*i + 1\/12*i**5 + 1\/3*i**3 - 2*i**2 + 0 - 7\/24*i**4. Determine l so that c(l) = 0.\nAnswer: 2\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 433.2152 decades in months?\nAnswer: 51985.824","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (125 - 90) + 72 + -29 + -1.\nAnswer: 77","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -15589\/2 + 7835. What is the common denominator of -41\/242 and j?\nAnswer: 242","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -27 - -29. What is the units digit of r?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(1573) + (4*-2*sqrt(1573))**2 - (-6*(sqrt(1573) + -1))**2 - -4*(sqrt(1053) + (-1*(-1 + sqrt(1053) - sqrt(1053)))**2).\nAnswer: 839*sqrt(13) + 44012","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) be the third derivative of -s**5\/12 + 2*s**2 + s. Let y(i) = -5*i**2. Give 6*x(j) - 5*y(j).\nAnswer: -5*j**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 35\/6 + ((-777)\/126)\/(-37). Suppose g = 5*o + 6*g + 15, 2*g + 14 = 2*o. Solve 2*i - 3*i = o*u, r = -2*i + 2*u for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -47, -11, -4 in descending order.\nAnswer: -2, -4, -11, -47","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -68 = 8*g - 10*g. Let i = g + -40. Let u(l) = -l - 10. Calculate u(i).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 5696?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a = -a - 4. Sort a, -3, 1 in increasing order.\nAnswer: -3, 1, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 268 minutes after 5:02 PM?\nAnswer: 9:30 PM","meta":{"dup_signals":{},"source":"measurement__time_test"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3\/5 in 0.5, 1\/7, 29, 0.75?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 26\/5 of a kilogram?\nAnswer: 5200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 1586939 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 141 and 23312?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = -q**3 - 12*q**2 - q - 17. Give s(-12).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = -d**3 + 12*d**2 - 15*d + 3. Give c(10).\nAnswer: 53","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 501 minutes before 6:40 PM?\nAnswer: 10:19 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -2 + 1?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 373\/1530 + -69061\/171360. Calculate the common denominator of x and -131\/48.\nAnswer: 672","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(156) - (sqrt(156) + sqrt(156)*-1)*-5) + sqrt(156)*3*5 + sqrt(156))\/(3*(sqrt(900)*2)\/sqrt(3)).\nAnswer: 17*sqrt(13)\/30","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k = 3*j, -9*k + 5*k - 25 = j. What is the smallest value in -0.01, j, 2, 1?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:45 AM and 8:15 AM?\nAnswer: 90","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -289*q = -287*q - 6 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 0.1 from 2867.3.\nAnswer: 2867.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -1010012112111 (base 3) to base 10\nAnswer: -594526","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve q = 2*a + 1, -8*a + 46*a - 2*q = 40*a + 4 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 4*(-1 - 9\/(-12)). Is c\/(0 - 3\/279) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((23345\/35)\/(-29))\/(2\/(-2))?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 + (2 - -5 - 0) + -17 - 1.\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 2012112221 (base 3) in base 4?\nAnswer: 22212112","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Add -680.11211276 and -0.2.\nAnswer: -680.31211276","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i**(-5\/6)\/(i**(2\/37)*i))\/((i*(i*i*i**(1\/23))\/i)\/i**(-1)))**(-4) assuming i is positive.\nAnswer: i**(50354\/2553)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p - 3*p + 8 = 0. Suppose d - 4 = -p. Suppose 2*g - d = w, 5*w - 2 - 24 = -2*g. Solve 5 = -g*i - 10 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 3510205318?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 54*c**3 + 38*c**3 - 17*c**3 - 5*c**3.\nAnswer: 70*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k = -25, 2*n + 4 = 2*k - 0. Solve 2*a + 20 = -4*c, -3*c + n*a = -4*c - 15 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = 12*n - 188. Let d be a(16). Solve l + 5 = -5*h, 6*l - 9*l - 15 = d*h for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 231, -78, -539, -1146, -1893, -2774, -3783?\nAnswer: -4914","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-50)\/(-14) + 12\/28. What is the third derivative of 7*x**u - 4*x**4 - x**4 - 3*x**4 - 5*x**2 wrt x?\nAnswer: -24*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -16.7? (a) 2\/11 (b) 3 (c) -374 (d) 4 (e) -12 (f) 6\/7\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 0.4, -4\/5, -0.06, 1 in descending order.\nAnswer: 1, 0.4, -0.06, -4\/5, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let -y**3 + 24196*y**2 - 241885*y + 604650 = 0. Calculate y.\nAnswer: 5, 24186","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/25 of a microgram in nanograms?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 17243424*j**2 - 20706802*j wrt j.\nAnswer: 34486848","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is (27\/(-2))\/(6\/(-14))*(-16)\/(-72)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*sqrt(3) + 2 + 3.\nAnswer: -sqrt(3) + 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 316 a multiple of 22?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -1 (b) -11 (c) -2 (d) 0.3 (e) -13 (f) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 11011110110011001110 (base 2) in base 6?\nAnswer: 31320542","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 + 1 = -5*b. Let v = 11 + b. Solve 22 = 2*l + 4*p, -3*p = 5*l - 6*p + v for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 280583933 to the power of 1\/2, to the nearest integer?\nAnswer: 16751","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = -3*v**3 - v. Let i be x(-1). Let n = -12 - -7. Put i, -3, n in descending order.\nAnswer: i, -3, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wgwwx. Give prob of picking 1 x and 1 g.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -1 - 10*p**4 + 4 + 19*p**4 wrt p.\nAnswer: 36*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 56 divide 18723730?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -20 + 21001122112211211?\nAnswer: 21001122112211121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n + 7*v = 2*v - 14, 35 = 5*n - 5*v. Suppose 5*m - 52 = -0*l - n*l, 0 = m - l - 12. Calculate the remainder when 43 is divided by m.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 4 and -369?\nAnswer: -1476","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is -7230 not equal to -7230?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = -l + 8. Let r be v(-16). Suppose -r = -p - 2*p. What is the lowest common multiple of p and 2?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d + 0 = 16. Suppose -2*c = -d*c + 42. Let m = 34 - c. What is the units digit of m?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.020253057 rounded to two decimal places?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 0\/(-4) + 5\/(-86). Let v = o + 247\/1290. Let m = 9.9 + -4.9. Does v = m?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -3 + -2. Let n be (2 - (-3 - t))\/2. Solve -d + 2*d + 4 = n for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 1 - 51?\nAnswer: -50","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = -1104*f**2. Let t(s) = 131*s - 2. Give t(y(v)).\nAnswer: -144624*v**2 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.2 in 117\/7, -0.05, 2\/3, -0.4?\nAnswer: -0.05","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round 29.92 to zero dps.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -992730 - 3*n**2 + 992730.\nAnswer: -3*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w + 6 = 2*w. Suppose 5*v + 7 - 2 = 0. Is w + -1 + 15 + v a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*g - g + 3*g)*(-102 - 48 - 81 + 17).\nAnswer: -428*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 + (-6 + 8 - -3) + 4?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 + 0\/(-3) + 219 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 104391?\nAnswer: 3, 7, 1657","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 18\/15*340\/(-6)*(-35)\/2800*-20?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 14*o - 855 - 17079. Let u = 2311 - o. List the prime factors of u.\nAnswer: 2, 5, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) be the first derivative of -2\/15*y**5 - 1\/12*y**4 - 1\/18*y**6 + 0*y**3 + 0*y + 0*y**2 - 46. Factor k(b).\nAnswer: -b**3*(b + 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 5, 33, 79, 143, 225, 325, 443?\n\"Answer: 9*f**2 + f - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.7 - 0.3. Let t = 0.282 - 0.182. Let v = 0.19 - 2.19. Which is the nearest to v? (a) o (b) t (c) -3\/8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 1\/(-2) + (-3679)\/(-26). Suppose -10*g + r + 109 = 0. What is the common denominator of 365\/g*(-5)\/(-33) and -11\/27?\nAnswer: 297","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 986351, 1972703, 2959055, 3945407, 4931759?\n\"Answer: 986352*l - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d = 2*n + 2461691, -120*n = -124*n - 32. Is d prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10\/(-2) - (12 + (8 - 29))?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: (-3*(-9)\/(-3) - 10854\/(-1215))*-4\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -401\/16150 or -1?\nAnswer: -401\/16150","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((c\/(c*c**5\/c*c))\/c)\/(c**5*c))\/(c**0\/c)**(1\/7))**(-10\/7) assuming c is positive.\nAnswer: c**(830\/49)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x = 2*p + 15, -3*x + 4*x = -4*p - 9. Suppose 0*h = h - x. Suppose 4*r = -4*m, -h*m + r - 1 + 9 = 0. Solve -c - 1 = -2*g, m*c - 4*c + g = 2 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 259379?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -874 + 878.135. Round c to 1 decimal place.\nAnswer: 4.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -813*(3 - 2002\/663) + -16?\nAnswer: -1\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*r + 562 = 676 for r.\nAnswer: -38","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 7213104?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000054 to five decimal places.\nAnswer: 0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*h - 1264 - 436 = 0. What is the highest common factor of 30 and h?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-2*(-2)\/12)\/((-1140)\/684)\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -965, -2892, -8119, -18296, -35073, -60100, -95027, -141504?\n\"Answer: -275*j**3 - 2*j - 688","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 1 + (-3)\/2 + (-13)\/26\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 295805?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in -6\/11, 0.117, -4, 0.4, 5?\nAnswer: 0.117","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (680\/12070)\/(64\/(-16)).\nAnswer: -1\/71","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yesa when four letters picked without replacement from eeyayeeeynneesyaayay.\nAnswer: 7\/4845","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -602*s**4 - 10*s**2 - 55*s - 100 wrt s?\nAnswer: -7224*s**2 - 20","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0108105 to 2 decimal places.\nAnswer: 0.01","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 55315190 to the power of 1\/3, to the nearest integer?\nAnswer: 381","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 18 and 2310?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v**(2\/5))**(1\/15)\/(v\/(v*v**(2\/7)))**(-1\/25))\/((v*v\/(v*v*(v*v**6\/v)\/v)*v*v**(-1\/3)*v)\/(((v\/v**(-8)*v)\/v)\/v*v**(2\/13))) assuming v is positive.\nAnswer: v**(26168\/2275)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.2814 - 35.5794. Let o = h - -31.3. Let q = 4 + o. Round q to two dps.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-10)\/60 + (-38)\/(-12). Let k(r) = 0*r**2 - r**3 - r**2 - 4*r**g. Determine k(1).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 23264.83 millilitres in litres?\nAnswer: 23.26483","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xxmsxxbxmbxbxbxxx. What is prob of picking 1 b and 1 s?\nAnswer: 1\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) be the first derivative of -7*t**4\/4 - 4*t - 1. Let r(l) = 13*l**3 + 7. Suppose 3*j = -2*w + 17, 5*w - 3*j - 14 = -3. Determine w*r(y) + 7*m(y).\nAnswer: 3*y**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -167*d - 18 + 39 - 21.\nAnswer: -167*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 124951 to the nearest integer?\nAnswer: 353","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = -l**3 + 3*l**2 + 3*l - 1. Let g be m(3). Suppose -406 = o - g*o. Suppose -11*w + 9*w = -o. Calculate the greatest common factor of 203 and w.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -5891, -23510, -52679, -93242, -145043?\nAnswer: -207926","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10*v**2 - 4*v**2 - 27*v**2 - 9*v**2 - 3*v**2 + 48*v**2.\nAnswer: -5*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 5 in 17, -5, 654, 2.2?\nAnswer: 2.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = -2*d + 2. Let y(v) = 2*v**2 - 6*v + 6. Let h be y(5). Suppose 4*r + h = -2*s, -3*s = 2*r + 10 - 3. What are the prime factors of t(r)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of (-16 + 366)*2\/2?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 g, 1 b, and 1 n when three letters picked without replacement from bguzznuy?\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 109\/30 and 28\/3285.\nAnswer: 6570","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = s**3 - 12*s**2 + 2*s - 27. Let x be ((-6)\/10)\/((-108)\/2160). Determine b(x).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 425 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 3.61 + -1.61. Let p be (-42)\/(-24) + (-2)\/(-8). Which is the nearest to p? (a) -1 (b) m (c) 0.05\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 30*z - 43397 = -44117 for z.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*t - 231*t**2 - 4*t + t + 242*t**2.\nAnswer: 11*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = -613*v + 63152. Determine a(103).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 918036.4 nanograms to kilograms.\nAnswer: 0.0000009180364","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (-252)\/(5 + -9) - 4*(-1 - (-35)\/10)?\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1578 - 401. List the prime factors of y.\nAnswer: 11, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 31520183*v*w - 19*w - 3742459 with respect to v.\nAnswer: 31520183*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is eleven halves of a millennium in months?\nAnswer: 66000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*q = 8*h - 13*h - 29, 0 = 3*q + 3*h + 3 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 5251645.6 (b) 0.4 (c) 1\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 469 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -12.36 rounded to 0 dps?\nAnswer: -12","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 414 and 14.\nAnswer: 2898","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 30104 + -13798. List the prime factors of g.\nAnswer: 2, 31, 263","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 838 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*k + 2*v = 16, -2*v = 9*k - 4*k + 19 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1429773 to the nearest integer?\nAnswer: 1196","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000026654 to 6 dps.\nAnswer: 0.000027","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -3800*h*m**3 + 395*h*m**2 + 2*h + 13*m**3 + 70*m**2 wrt m.\nAnswer: -22800*h + 78","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 8120339 + -22?\nAnswer: 8120317","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1921544 by 48.\nAnswer: 240193\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y - 28 - 80 = 0. What is the least common multiple of y and 9?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -123*i + 102 = -89*i for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 22 - 16. Let y(z) = z**2 - 7*z + 3. Determine y(l).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 2 (b) -62545 (c) -5 (d) 0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*i**4 + 45*i**3 - 740883*i**2 + 740835*i = 0.\nAnswer: -505, 0, 1, 489","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17*o + 17*o + 720 = -60*o for o.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 65\/(-234)*(-24)\/30.\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 909997678?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = -164001*d**2 - 7*d - 10. Let i be j(-5). What is i rounded to the nearest one hundred thousand?\nAnswer: -4100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = -2*g**2 + 10*g - 103. Let n be a(19). Let m = -239 - n. Is 11 a factor of m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z**(-17)\/z)\/z)\/(z*(z**6*z)\/z) assuming z is positive.\nAnswer: z**(-26)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) be the third derivative of -3*z**2 + 1\/2*z**3 + 0 + 0*z - 1\/12*z**4. What is the derivative of j(d) wrt d?\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2242 is divided by 58.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 8 - 12. Let p(t) = -41710*t**3 + 2*t**2 - 3*t + 41701*t**3 - 13*t**2. Let z(w) = -3*w**3 - 4*w**2 - w. Calculate n*p(g) + 11*z(g).\nAnswer: 3*g**3 + g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(121)\/(sqrt(11)*-2 - sqrt(11)) + sqrt(44)\/sqrt(4) + -3.\nAnswer: -3 + 2*sqrt(11)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 4.99 - -0.01. Let g = -223.29 + 222.79. Put n, 3\/7, -3, g in decreasing order.\nAnswer: n, 3\/7, g, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2469*o**5 + 9196*o?\nAnswer: 49380*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:35 PM and 10:43 PM?\nAnswer: 128","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 4323 - -1?\nAnswer: 4324","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -33194 or -33416?\nAnswer: -33416","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = s + 4*h - 167 + 171, -3*s = -h + 12 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when ((-5)\/(-3))\/(50\/11520) is divided by 35?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 620 minutes after 6:04 AM?\nAnswer: 4:24 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = 3*r**6 - 9*r**5 - 9*r**4 + 21*r**2. Let q(m) = m**6 - 5*m**5 - 5*m**4 + 10*m**2. Let p(i) = 5*a(i) - 9*q(i). Find the third derivative of p(n) wrt n.\nAnswer: 720*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -338, -684, -1022, -1346, -1650, -1928, -2174?\n\"Answer: r**3 - 2*r**2 - 347*r + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 97 - (-7 + 47 - -21)\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 0, -43, 5, -2 in ascending order.\nAnswer: -43, -2, -1, 0, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -15 - -18. Suppose -3*s - 2 = -m - m, -3*m + c = 0. Suppose 2*k - 10 - 34 = s. What is the units digit of k?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -2241 - -2245. Sort -0.3, g, 24.5 in decreasing order.\nAnswer: 24.5, g, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6*(-200)\/150 - (-940)\/110?\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = 13*p + 3590. Let y be n(45). Solve -y*f + 12 = -4163*f for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 927*s**2 + 683*s**2 + 284*s**2 + 244*s**2 in the form q*s + i + k*s**2 and give q.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m = 3*g - m - 1467, -g - 4*m + 489 = 0. Is g composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = 72146*z**2. Let k(o) = o**2. What is q(k(m))?\nAnswer: 72146*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -12102022 - -211200?\nAnswer: -11120122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -39235849*p**2 - 77173555*p?\nAnswer: -78471698","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Determine l, given that -2*l**2 - 28*l - 90 = 0.\nAnswer: -9, -5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.59 + 0.23. Let a = 2.34 - n. What is a rounded to 0 decimal places?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/2, 0.37, -390 in decreasing order.\nAnswer: 0.37, -1\/2, -390","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 + 6 + 4 + 3*p**3 + 217*p.\nAnswer: 3*p**3 + 217*p + 9","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*p + 4*c = -29 + 31, -10 = -p + 4*c for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round 557388.7837 to the nearest 10000.\nAnswer: 560000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (1\/4)\/(9 - 528\/60). Let b(y) be the first derivative of 0*y + 1\/3*y**3 + 0*y**2 - 3 + x*y**4. What is the third derivative of b(r) wrt r?\nAnswer: 30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2*sqrt(176) + 3 - (1 + sqrt(176))*3)**2 + (1*((sqrt(176) - sqrt(176)*1) + -5) + -3)**2)*-4.\nAnswer: -17856","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 9b - -49?\nAnswer: 117","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 5095*c**6*h**3 - 3*c**6 - 225829*c**2*h**3 wrt c?\nAnswer: 611400*c**3*h**3 - 360*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-16)\/174*((9 - 45)\/(-12))\/4.\nAnswer: -2\/29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h - n - n + 15 = 0, -3*h + 5*n = -9. Suppose 4*l + h*l - 224 = 0. Calculate the greatest common factor of l and 128.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (3 - (-10)\/(-4))*0 + 0. Solve -3*f - 2*f = l for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(-5*(sqrt(228)*1 + sqrt(228)) - sqrt(228))*-1)\/((1*sqrt(120)*3 - sqrt(120))\/(sqrt(1210) - 2*sqrt(1210) - sqrt(10))).\nAnswer: 264*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l = 5*v, l + 2*l = -5*v. Let j = -1.9894 - 0.0106. Which is the second smallest value? (a) 3 (b) j (c) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 2832, 9285, 20044, 35109?\n\"Answer: 2153*y**2 - 6*y + 685","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1 - 1. Let b(y) be the first derivative of -y**3\/3 - y + 79. Give b(f).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 divided by -720432.\nAnswer: -1\/720432","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*h + 23*a - 466 = 0, 145*a - 302*a = -6*h - 152*a - 134 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.04900071 + -0.049. Round w to seven dps.\nAnswer: 0.0000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-75)\/198)\/(-25)*64\/(-16).\nAnswer: -2\/33","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 13 + (-113 + (-55 - -44) - 17)?\nAnswer: -128","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-8 - 280\/30)*(-23)\/92.\nAnswer: 13\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = 14*s**3 + 4*s**2 - 485*s + 1872. Let r(d) = 6*d**3 + 2*d**2 - 242*d + 936. Let m(n) = -2*k(n) + 5*r(n). Factor m(i).\nAnswer: 2*(i - 6)**2*(i + 13)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 5 - 216?\nAnswer: -211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 52\/5 of a litre in millilitres?\nAnswer: 10400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(117)\/((2*sqrt(81))\/sqrt(9)).\nAnswer: sqrt(13)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = -l**3 - 19*l**2 - 20*l - 30. Let i be y(-18). Let c be 0 + -2 + 5 - -1613176. Suppose i*q = -c - 906821. Round q to the nearest 100000.\nAnswer: -400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0 + (-4 - (-4 + 0))\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.3, 3\/5, -6979656 in decreasing order.\nAnswer: 3\/5, -0.3, -6979656","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.0439*-0.4.\nAnswer: 0.01756","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: (13 + (-10 - -9) - 11 - -12) + -18 + 111\nAnswer: 106","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) be the third derivative of r**6\/600 - r**5\/60 + r**4\/30 + 34*r**2. Factor k(v).\nAnswer: v*(v - 4)*(v - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 94\/(-940)*4\/2.\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*d**5\/9 + 4*d**4 + 136*d**3\/9 - 68*d**2\/9 - 40*d\/3 + 32\/9 = 0. What is d?\nAnswer: -2, -1, 1\/4, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 487 is divided by 83?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or 7\/221187?\nAnswer: 7\/221187","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3*l**3 - l**3 + 5*l**3)*(12*l + 5*l - 67*l) in the form x*l**4 + h*l**3 + s*l + c + a*l**2 and give x.\nAnswer: -50","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = 31*y**3 - 215*y**2 - 44*y + 240. Calculate t(7).\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 573 is divided by 36.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) be the first derivative of 65 + 0*v + 1\/5*v**5 - 4\/3*v**3 + 1\/2*v**4 - 4*v**2. Find q, given that k(q) = 0.\nAnswer: -2, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7033 is divided by 128.\nAnswer: 121","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -26467, -26462, -26447, -26416, -26363, -26282, -26167?\n\"Answer: k**3 - k**2 + k - 26468","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w = -3*c + 39, -5*c + 98 - 12 = 2*w. Let x = -23 + 41. Let k be (48\/x)\/(2\/3). What is the highest common factor of k and c?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1498782 to the nearest integer?\nAnswer: 114","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -699, -1410, -2153, -2946, -3807, -4754, -5805?\nAnswer: -6978","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 4099 or 4108?\nAnswer: 4108","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 6.6388 times -3?\nAnswer: -19.9164","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 630?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = b**2 + 10*b - 24. Let d be (-16)\/2 + 44\/22. Let t = d + -6. Let a be q(t). Are a and 6 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o - o = -4*v - 4, 0 = 5*o + 20. Solve -8 = -v*z - 2*z for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -236 - -241. Suppose -5 = -2*a + 1. Solve a*p - q = 7 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 51 - 203\/4. Let x = 313 + -312.8. Which is the closest to f? (a) x (b) 3 (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -552966, -552963, -552958, -552951?\nAnswer: -552942","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (31 - 56 - 92 - 28)*(-8*f**2 - 5161 + 5161) to the form t*f**2 + a + b*f and give t.\nAnswer: 1160","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 148 minutes after 3:54 PM?\nAnswer: 6:22 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = 2*l**3 + 2*l**2 - l - 1. Let i(z) = -8*z**3 - 11*z**2 + 81*z - 2. Calculate 5*c(m) + i(m).\nAnswer: 2*m**3 - m**2 + 76*m - 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put together -5 and -0.757.\nAnswer: -5.757","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 32222066 is divided by 262.\nAnswer: 258","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = -509*c + 1989. Determine s(4).\nAnswer: -47","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 19, 58, 123, 214, 331?\n\"Answer: 13*y**2 + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -35 + 31.1. Let r = -95.2 + 99. Let q = r + w. What is the nearest to q in -1\/3, -5, -4?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + sqrt(1008)*-1 - ((sqrt(1008) - (sqrt(1008) + -1))**2 + 5).\nAnswer: -12*sqrt(7) - 7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 6\/269881 - -714914595\/7826549. Let f = u + -140639\/1566. Calculate the common denominator of 107\/48 and f.\nAnswer: 432","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*v + i + 23, 5*v + 11*i - 6*i - 10 = 0. Suppose -3*s = 3*s + 72. Sort -2, v, 4, s in increasing order.\nAnswer: s, -2, 4, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {y: 3, l: 1, d: 1, f: 2}. Give prob of picking 1 f, 1 l, 1 y, and 1 d.\nAnswer: 6\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 76 - -13. List the prime factors of v.\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = 3*t**3 + 4*t. Let h(q) = -73 + 73 + q. Calculate 6*h(o) - u(o).\nAnswer: -3*o**3 + 2*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t + 11*r - 6*r = -140271, -2*t - r = -70139. Is t a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = s**2 + 0*s**3 - 6*s**3 - 1 + 3*s**3. Let d be r(-1). Calculate the remainder when -2 - (5 - d - 47) is divided by 11.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = -14*l + 3*l**2 + 13 - 20 + 13*l. Give f(3).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 = 5*d - y, 0 = -6*y + 5*y. Let o = 27 + -27. Suppose o = d*a - 22 + 1. Is a a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 624 is divided by 125?\nAnswer: 124","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 67519 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = 103*o**2 - 889*o - 8808. Does 45 divide h(-10)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 235597 divided by 4\nAnswer: 235597\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -1400, -4167, -8270, -13709, -20484, -28595?\n\"Answer: -668*u**2 - 763*u + 31","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 3c8 - 50b8?\nAnswer: -4cf0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = 142*x**2 - 63*x + 116. Let g be y(2). What is the greatest common factor of g and 90?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3175 by -5.\nAnswer: 635","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/5 in 5\/12, -2, 4, 1\/6?\nAnswer: 5\/12","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1536, 3048, 4592, 6180, 7824, 9536?\nAnswer: 11328","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 7298.892mg in nanograms?\nAnswer: 7298892000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 4.9 + 0.1. Suppose -49 - 527 = -3*u. Let w = u + -1341\/7. What is the third smallest value in w, 0.2, j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 99*f**4*u - 1651*f**4 + 111*f**2 - 353220*u wrt f.\nAnswer: 2376*f*u - 39624*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 4*-439\nAnswer: -1756","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h - 3*g - 15 = 0, 3*h - 4*g - 25 = -0*g. Let t be 144\/h - 4\/(-10). Suppose -t*p = -6*p - 116. What is the tens digit of p?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 2, g: 1, q: 1, f: 1}. Give prob of sequence qp.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 2049 and 9.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = -x**3 - 15*x**2 + 35*x + 15. Let s be r(-17). Let p be ((-6)\/(-15))\/(s\/(-10)) + 6. Solve 7 = b + p for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 60 = -5610*v + 5622*v for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is five quarters of a hour in seconds?\nAnswer: 4500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*x - 4 + 4 - 11*x.\nAnswer: -11*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -297, 0.3, 1, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j + 5*x - 6624 = 0, 3*x = 4 + 5. Is j a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 57*k - 3*w = 52*k + 31075, 2*k + 5*w = 12399. List the prime factors of k.\nAnswer: 2, 1553","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -4544, -10266, -19802, -33152, -50316, -71294?\n\"Answer: -1907*f**2 - f - 2636","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 370 is divided by 125?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 10037 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = -6*z**2 + 150*z + 116. Calculate w(17).\nAnswer: 932","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence csss when four letters picked without replacement from slccsccl.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 17 - 9 - (13 - (12 + -3) - (-51 - -1)).\nAnswer: -46","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7 - 9 + 2 - 93*n.\nAnswer: -93*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(153)*-3 - (-1 + sqrt(68) + sqrt(17)))**2.\nAnswer: -24*sqrt(17) + 2449","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*c - 2 = -5*j - 4*c, 2*c = -5*j + 18. Let n be (j\/4*0)\/(-1). Let q = 2\/25 - -44\/75. Which is smaller: q or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -23 - 17. Let g be ((-55)\/(-2))\/5*(-44)\/(-121). Let h be x\/30 - g\/3. Which is smaller: h or -7\/8?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-11 + 5 + 24 + (5 - 2 - 2)*(0 + 0 - 1))*(-2*p - 4*p + 0*p)*(-3 + 4 + 0)*(1 - 1 + 1).\nAnswer: -102*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -12*(3\/2)\/3. Let w be 70\/(-3) - (-4)\/i. List the prime factors of (-18)\/(-4)*w\/(-9).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-51 + 41)*9\/(-30). Solve 2*n + i*p - 1 = 3*n, 3*n = -2*p - 14 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*z = -p + 3*p + 180, -9*p - 2*z - 1141 = 4*z - 397 for p.\nAnswer: -80","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f*f**(-11))\/f**(-2\/49)*(f*f*f*f**(-10))\/f**(-3))**(-38) assuming f is positive.\nAnswer: f**(25992\/49)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 27, 39, 33, 3, -57, -153, -291, -477?\n\"Answer: -p**3 - 3*p**2 + 28*p + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -138*m + 702 = -21*m. Let v(n) = n**2 + 1. Let j(b) = 2*b**3 + 6*b**2 - b + 5. Give m*v(w) - j(w).\nAnswer: -2*w**3 + w + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 58 and 40397?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(-6*(0 + sqrt(200)) + 0 + sqrt(200) + 4) - (((-2*sqrt(176))\/sqrt(11))\/sqrt(8) - -4*sqrt(96)\/sqrt(3)).\nAnswer: -214*sqrt(2) + 16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 98305 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = -y**2 + 8*y - 4. Let g be h(8). Let j(u) = u**3 + 4*u**2 - 3*u + 2. What is the smallest common multiple of 12 and j(g)?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = -2*h**3 - 513*h**2 - 1277*h - 1916. Give i(-254).\nAnswer: -138","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 35 or 33?\nAnswer: 35","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*n**3 + 3*n**3 - 5*n**3)*(327*n**2 - 495*n**2 + 0*n + n).\nAnswer: -336*n**5 + 2*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = -4*s**2 + 98. Calculate j(0).\nAnswer: 98","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = 7*f**3 - 4*f**2 - 14*f**3 + 6*f**3. Suppose -2*c - 5*p = 3*c, 2*c + 4 = -p. Let a be m(c). Solve -5*i - 4*w - 9 = 0, a = 5*w + 10 - 30 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:54 PM and 9:43 AM?\nAnswer: 589","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 363.007477 + -363. What is p rounded to 3 decimal places?\nAnswer: 0.007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-50)\/150 + (-8)\/3 + (13239 - 9)?\nAnswer: 3, 4409","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 6\/5 of a kilogram?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Product of -282 and -335.\nAnswer: 94470","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12815*p**3 - 2*p + 2*p**2 - 2*p**2 + 14033*p**3.\nAnswer: 1218*p**3 - 2*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 + 5\/4 + (-6)\/(-40)?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3632993 (base 10) in base 8?\nAnswer: -15667541","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -2\/831 or -1?\nAnswer: -2\/831","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 559 minutes after 8:38 AM?\nAnswer: 5:57 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*c = -37 + 7 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1 + 0. Let m be 12 + o*1\/1. Solve 3*z = m - 2 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -127\/12 and -53\/20716?\nAnswer: 62148","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 166 minutes before 9:37 AM?\nAnswer: 6:51 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (11\/(-11))\/(-1 + 2). What is the units digit of g*(-3)\/((-9)\/(-177))?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = -259 - 5*r - 232 + 491. Let y(i) = -15*i + 13. Let d(u) = 7*u - 6. Let n(g) = -13*d(g) - 6*y(g). What is w(n(c))?\nAnswer: 5*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -308 - 658 = -t - n, 2*t + 3*n = 1933. Suppose -5*c = -7*o + 8*o - t, -1930 = -2*o + 3*c. What are the prime factors of o?\nAnswer: 5, 193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.063 - -23.097. Let q = 21.1 - w. Let t = 2.1 + q. What is the nearest to t in -4, -3, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 186355882.\nAnswer: 2, 93177941","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -27284.9191 rounded to the nearest 1000?\nAnswer: -27000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*t**4\/21 + 3316*t**3\/21 - 9984*t**2\/7 + 4284*t - 30006\/7.\nAnswer: 2*(t - 3)**3*(t + 1667)\/21","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = b**3 + 19*b**2 - b - 13. Let g = 214 + -263. Let u be g\/7 + 3 - 15. Give f(u).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -4 - -4. Suppose 2*u + 2*u - 12 = i. Suppose 0 = -5*s + u*s + 8. What is the nearest to 1 in 0.1, s, -3?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 3\/11 (b) 10 (c) 2\/7 (d) 5 (e) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*f**2 + 5 + 61*f**3 - 150*f**3 + 2*f**4 - 113 + 84*f**3 to the form x*f + a*f**2 + m + c*f**4 + g*f**3 and give a.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) be the first derivative of 2874*d**4 + 3*d**2\/2 + 1147*d + 1918. Find the second derivative of w(n) wrt n.\nAnswer: 68976*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:39 AM and 1:45 PM?\nAnswer: 126","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = -12 - 4*k + 15*k**3 + 16*k**3 + 16*k**2 - 30*k**3. What is the remainder when 257 is divided by t(-16)?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1599.67 + 1593. Round l to 1 dp.\nAnswer: -6.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 275027 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/7 in -3, -1201103, 0.1, 15?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 4663 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Divide 189405 by 135.\nAnswer: 1403","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**7\/q**4)\/(q**(1\/3))**(5\/14) assuming q is positive.\nAnswer: q**(121\/42)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = 11832*t. Let x(h) = -10*h**2. Give r(x(z)).\nAnswer: -118320*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12808 = 14*l + 2574. List the prime factors of l.\nAnswer: 17, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from qvzoq. Give prob of sequence vzq.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 54\/(-5)*(-40)\/6. Solve -22*f - d = 2*f for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = 7*g + 72. Let c be x(-10). Is ((-88)\/(-5))\/(c\/5) a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = -3*f**2. Let h(k) = -7*k. Let x be 8\/28 - (-4)\/(-14). Suppose x = 3*y + 2*y + 25. Let w(v) = 8*v. Let l(o) = y*w(o) - 6*h(o). What is i(l(p))?\nAnswer: -12*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = -a - 4. Let n be y(-6). Factor -3*p**2 - 4*p**n + 4*p + p**2 + 4*p**2.\nAnswer: -2*p*(p - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -90 - -141. Suppose -2*c + 3*c = u. Is 17 a factor of c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*r**2 - 3*r + 8*r - 5*r.\nAnswer: 5*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 104664?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 + 3 = f. Suppose -68 + 272 = f*t. Let g = t - 35. Is 8 a factor of g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -3.905 + 0.105. Let v = 3.8000594 + n. Round v to six decimal places.\nAnswer: 0.000059","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) be the third derivative of 13*w**5\/10 + 29*w**4\/24 - 80*w**2. Find the second derivative of v(p) wrt p.\nAnswer: 156","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2996 = 18*y - 4*y. Let x = y + 734. Suppose 104 = r - 4*i, 4*r + r + 5*i - x = 0. What is the units digit of r?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-350)\/(-75)*29\/(-116)*42?\nAnswer: -49","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h - 33 + 47 = 0. Calculate the least common multiple of h and 14.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = -2*s**2 - s - 3. Let b(y) = 28 + 12*y**2 - 27 - 11*y**2 + y. Give 3*b(j) + c(j).\nAnswer: j**2 + 2*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) be the first derivative of -243*o**5\/5 - 13581*o**4 - 1008004*o**3 + 676032*o**2 - 150528*o - 2677. Factor r(z).\nAnswer: -3*(z + 112)**2*(9*z - 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*v**2 + 472*v - 2260 = 0 for v.\nAnswer: 5, 113","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(-2\/11)\/(x\/x**10))\/(x*(x\/((x*x**(2\/11))\/x))\/x*x**(-11)) assuming x is positive.\nAnswer: x**19","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 4 divided by -5217\nAnswer: -4\/5217","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*h**5 - 5*h**2 + 5*h**2 + (h**2 - 3*h + 3*h)*(-9 + 8*h**3 + 9) - 5*h**5 + 5*h**5 + h**5.\nAnswer: 11*h**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5606537.\nAnswer: 5606537","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6241?\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (14\/(-17472)*-24)\/((-1)\/4)?\nAnswer: -1\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in -60, -4, 110, 23?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = 3*z**2 + 74*z + 395. Let u be x(-9). Put 15, -2, 5, u in descending order.\nAnswer: 15, 5, -2, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.8115 minus 46?\nAnswer: -46.8115","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 38 a factor of 14821?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 2362955 and 763.\nAnswer: 257562095","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 291355 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify h**(-16)\/(h\/((h*h\/h**(7\/2))\/h))*((h*(h\/((h*(h**(-17\/2)*h)\/h)\/h*h)*h)\/h)\/h*h)\/(h\/(h*h*h**(-1))) assuming h is positive.\nAnswer: h**(-10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 332 minutes before 1:50 AM?\nAnswer: 8:18 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -4 and -6016262?\nAnswer: 6016258","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -90, -180, -262, -330, -378, -400?\nAnswer: -390","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 358 + 10?\nAnswer: 368","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2972838 - 42509027.\nAnswer: -45481865","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -2 - -3a835?\nAnswer: 3a833","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 7 - 12. Is (-1828)\/(-20) - (-2)\/a a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 37 + -61. Find the common denominator of -73\/4 and (54\/(-40))\/(o\/(-110)).\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = -3*v**2 - 2*v + 1. Let u(l) = -l**3 + 5*l**2 - l - 2. Let c = 0 - -2. Let i be u(c). Let x = 6 - i. Determine k(x).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*j - j - 3*j)*(4 - 11 - 6).\nAnswer: 78*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express (g**2 + 4*g - 4*g + (-1 - 1 + 0)*(518 - 518 + 104*g**2))*(5*g + 134*g - 7*g) as l*g**3 + v + k*g**2 + b*g and give b.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 263263\/3 - 87751. Find k such that 0 + 4\/3*k**3 + z*k**4 + 2\/15*k**2 + 0*k = 0.\nAnswer: -1\/5, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 104.8434 millilitres to litres.\nAnswer: 0.1048434","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4779630*-0.1.\nAnswer: -477963","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1 + -4. Let a = t - -12. Suppose 2*p = 2*n + 10, -2*n + a = 2*p - n. What is the remainder when 9 is divided by p?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -55 - -55. Let l = -105.8 - -92. Let v = l - -6.8. Put v, f, -5 in ascending order.\nAnswer: v, -5, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 534*o**2 - o**3 + 244*o**2 + 62*o**2 + 4*o**3.\nAnswer: 3*o**3 + 840*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1111001010011100101 (base 2) to base 4.\nAnswer: -1321103211","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (64\/(-120)*(-21)\/42)\/((-220)\/250).\nAnswer: -10\/33","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -1*(-3)\/((-9)\/75). Let v = 50 + q. Solve -5*d + v = 5*t, d - 10 = 4*t - d for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0795 rounded to two decimal places?\nAnswer: 0.08","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -2037 - -2043. Solve 16*r + j = 18*r for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/7 in -33, -5, -8?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.073815 + 155416.\nAnswer: 155415.926185","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 19 - 8. Suppose -u + 0*u + i = -13, j = 2*u + 3*i. Let l = u - -12. Is l a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 944616331?\nAnswer: 19, 49716649","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*r**3\/5 + 136312*r**2\/5 + 464496770*r - 4645512964\/5.\nAnswer: 2*(r - 2)*(r + 34079)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 258 divided by 6.\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -0.08 or -420?\nAnswer: -420","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 4 (b) 0.12 (c) 54\/13 (d) 5 (e) -20\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 5207 and 2032?\nAnswer: 127","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 23241833.4 - -67?\nAnswer: 23241900.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 932187624.\nAnswer: 2, 3, 113, 343727","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*s + 38 = -304*x + 303*x, x = -4*s + 34 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1483 = -6*b + 2*n - 1497, -3*b - 2*n = 22 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -4, -2\/11, 1307, -652, 1\/2?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + (sqrt(72)\/sqrt(9))**2.\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 24*c*k**3 + 34*c*k**2 + 2*k**2 wrt k?\nAnswer: 144*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*j**2 - 8*j**2 + 2*j**2)*(-2*j**3 + j**3 + 2*j**3) + 2*j**5 - 4*j**5 + j**5 + (j**4 - 4*j**4 + 2*j**4)*(j + 0*j + 0*j).\nAnswer: -11*j**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = -2*u, 2*u = -2*v - 96 + 110. Let n(m) be the first derivative of -5\/12*m**3 - 5*m - 25\/8*m**v + 18. Solve n(x) = 0.\nAnswer: -4, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = g**3 - 3*g**2 - g + 6. Let c be m(2). Let c*z + 1\/3*z**3 + 0 - 4\/3*z**2 = 0. Calculate z.\nAnswer: 0, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -356, -1\/2, -4, 4\/15 in decreasing order.\nAnswer: 4\/15, -1\/2, -4, -356","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6\/(-10)*3*30*1199\/(-1962).\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -1210 + -2?\nAnswer: -1212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = 2*w - 4. Let u(q) be the second derivative of -q**4\/12 + q**3\/2 - 3*q**2 - 2*q + 8. Let a(k) = -4*u(k) + 6*v(k). Let o(d) = -31*d**2. Give o(a(l)).\nAnswer: -496*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 21512 + -108483\/5. Let r = 184 + m. What is the second smallest value in r, 0, -1\/8?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2547 is divided by 150.\nAnswer: 147","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 h and 1 r when two letters picked without replacement from {h: 2, r: 1}?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = v**2 - 18. What is w(7)?\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -2011 - -2073. What is the second biggest value in k, 16, 0.2?\nAnswer: 16","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 51313880.\nAnswer: 2, 5, 157, 8171","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = z**2 - 4*z + 2. Suppose 21 = b + 5*t, -16 = -5*b - t + 17. Suppose -b*r = -2*r - 40. Let f = r - 5. What is m(f)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v = 3*b - 1150 + 103, v + 1752 = 5*b. What is the least common multiple of 3 and b?\nAnswer: 351","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -451191*y + 252 = -451173*y for y.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 180019 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**13\/z)\/(z**(-4\/15)*z) assuming z is positive.\nAnswer: z**(169\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 99 a factor of 2436?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 3122 (base 4) to base 13\nAnswer: 13a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -4849\/410 - 4\/615. What is the common denominator of f and 33\/2?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -8 + 8. Let m = 1.3 - 0.8. What is the smallest value in m, 3, r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = -h**2 - 4*h + 6. Let m be p(-6). Suppose -2*d + 60 = -d. Let u be (d\/(-40))\/(m\/16). Solve 0*a = u*a for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:12 PM and 4:12 AM?\nAnswer: 420","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -183, 16313, -3 in decreasing order.\nAnswer: 16313, 3, -3, -183","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3*p**2 - 5*p**2 - p**2)*(0 + 1 - 2) to b*p**2 + t + d*p and give b.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is thirteen quarters of a litre in millilitres?\nAnswer: 3250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 298*s + 1718 - 5912 = 56*s - 457*s for s.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 272 - -17. Is f a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1536437 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from baddbabdjdaaaa. Give prob of sequence bdaa.\nAnswer: 15\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*c - 4*o = -c - 22, -5*o + 17 = c. Let j be (10 - (7 + -2))\/(5\/c). Solve 3*r - j*h + 6*h = -5, 5*h = -4*r - 6 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 21 divide 6888?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 1 divided by -66228\nAnswer: -1\/66228","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -99 + 99.00000057. Round w to 7 dps.\nAnswer: 0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4*8\/(288\/126)*-1?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide 9694 by 1.\nAnswer: 9694","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 10663748?\nAnswer: 2, 613, 4349","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {f: 2, p: 12, y: 3, v: 3}. Give prob of sequence vppy.\nAnswer: 33\/3230","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 104 = -42*y - 64 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = -c**3 + 15*c**2 + 157*c - 10. Let d(f) = 2*f**3 - 24*f**2 - 235*f + 16. What is -5*d(x) - 8*i(x)?\nAnswer: -2*x**3 - 81*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 20358.\nAnswer: 2, 3, 13, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify r**(-3\/8)\/(r\/(r\/(r**(1\/7)\/r))*r*r)*r**1\/((r*r*r**0)\/r) assuming r is positive.\nAnswer: r**(-85\/56)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 231071 to the power of 1\/2, to the nearest integer?\nAnswer: 481","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23 = 4*k - 3*d, -6 = -2*k + k + d. Suppose k = -0*t + t. Suppose -56 = -5*h + 2*j, 5*h - 26 = 3*h + 2*j. What is the greatest common factor of h and t?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -1 - -325215143?\nAnswer: 325215142","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-16)\/88 - (-145)\/11. Let x(d) = d**3 - 4*d**2 - 3*d + 3. Let p be x(5). What is the highest common factor of j and p?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = -2*p**2 + 50. Suppose 12*v - 136 = -5*v. Let f(m) = 5*m - 6*m + 6*m - v*m + 6*m. Give y(f(x)).\nAnswer: -18*x**2 + 50","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 7730490 divided by 10?\nAnswer: 773049","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate g**2*w + 17*g**2 - 35*g + 1344*w with respect to g.\nAnswer: 2*g*w + 34*g - 35","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*n + 1357 = 65*n - 1308. Sort -3, 4, -2, n, -1 in descending order.\nAnswer: n, 4, -1, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 40.00984+-0.16437112\nAnswer: 39.84546888","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2 + 6 + 3)*(5*x - 6*x + 3*x)*(-2 + 1 - 2) as n*x + m and give n.\nAnswer: -42","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v - 5 = -0*v. Suppose 4*h + 5 = v*h. Let s = -17 - -24. Solve 0 = k + h*l - 13, -9 = 5*k - 2*l + s for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 18.5*8\nAnswer: 148","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.18 + 0.78. Let u = 0.48 - m. Which is the third biggest value? (a) 0.5 (b) -4 (c) u (d) -2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*f - f + 0*f + (-2 + 3 - 3)*(-6*f + 3*f + 4*f))*(1 + 5 - 2)*(-475 + 2*f + 234 + 251) in the form p + o*f**2 + m*f and give m.\nAnswer: -120","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2.705 or 229.4?\nAnswer: 2.705","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.5 minus 398?\nAnswer: -398.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in four thirds of a decade?\nAnswer: 160","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 372234761 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 86741949*f**2*l - 300714*f*l + 3*f + 5*l + 1 wrt f.\nAnswer: 173483898*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is (23 - -59 - 27) + (-16 - 1)?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 10 + (-4 - -1) + (0 - 2).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -a + 220?\nAnswer: 212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = 6*k**2 - 2. Let n = 15 - 12. Suppose -2 - 19 = -n*y. Let i(p) = 19*p**2 - 7. Determine y*v(z) - 2*i(z).\nAnswer: 4*z**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(12\/13)*q)\/(q*q**(1\/10)*q)*(q**(-7)*q)**(-29) assuming q is positive.\nAnswer: q**(22597\/130)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express 5*s**2 + 2*s**3 - 10*s - 30*s + 0 - 25*s - 3*s**2 - 4 as i*s**3 + y*s + z*s**2 + n and give i.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -0.51, -62, 0.5, 5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 572498832?\nAnswer: 2, 3, 11927059","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 134923 to the nearest integer?\nAnswer: 367","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 338 - 213. What are the prime factors of x?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from iojioooooioiijjio. What is prob of picking 2 o and 2 j?\nAnswer: 3\/85","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) be the third derivative of -i**5\/60 + 7*i**4\/24 + 7*i**3\/6 + i**2 + 13*i. Calculate v(8).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c\/(c**(-1\/48)*c))\/c*c**(-3\/10) assuming c is positive.\nAnswer: c**(-307\/240)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4254 = -3*x + 5751. Is x a multiple of 98?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 6371.7 + -6372. Which is the closest to -1? (a) 1\/4 (b) -19.9 (c) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-one fifths of a meter in centimeters?\nAnswer: 420","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.3, 14559, -1\/2, 0.22 in increasing order.\nAnswer: -1\/2, 0.22, 0.3, 14559","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 5.7 + -2.5. Let p = 3.12 - 0.12. Let x = p - r. Which is the second smallest value? (a) -0.1 (b) x (c) -2\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 3, 1, -1, 48?\nAnswer: 48","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put -53, 3, -5, 12 in decreasing order.\nAnswer: 12, 3, -5, -53","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u + 0 = -3*x + 9, 2 = -2*x. Let p(m) = -m - 3. Let l be p(u). Let z = -15 - -19. Which is greater: l or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4.672609 rounded to zero decimal places?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 89834 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = 6*r + 3. Let w(o) = o + 1. Let n(a) = k(a) - 2*w(a). Let m be n(1). Suppose -i + 5*i - 586 = m*b, 2*b - 4 = 0. Is i prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = -s**2 - 27*s - 42. Let v be 2\/(-10) - 940\/50 - 1. Let g be u(v). Suppose 0 = 4*j - 338 - g. What are the prime factors of j?\nAnswer: 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 295 and 58705?\nAnswer: 295","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.35? (a) 3 (b) 0.07 (c) -4 (d) -1 (e) -0.0512\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = -4*n**3 - 8*n**2 + n + 5. Let i(z) = 9*z**3 + 17*z**2 - 2*z - 10. Let q(v) = -3*i(v) - 7*u(v). Let y be q(-5). Solve y = 6*b - 8*b for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (-31707)\/(-45) + 43\/(-5) + 9 is divided by 143?\nAnswer: 133","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 at least 30392\/3887?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 109 + -62. What are the prime factors of l?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 19023316.2 minutes in weeks?\nAnswer: 1887.23375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11 - 31 = -5*a. Suppose 0 = 3*g - a*g + 2. What is the units digit of g?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 34 = -3*c + 5*v, 44*v - 47 = -c + 34*v for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1 times -6639198?\nAnswer: 663919.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 564.52 + -564. Let y = 0.82 - l. Sort y, -2, -12 in ascending order.\nAnswer: -12, -2, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 8\/3 + (-18)\/27. Solve 4*m + 1 = s*w - 13, -5 = m for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*m**5\/7 - 30*m**4 - 5148*m**3\/7 - 2480*m**2 = 0.\nAnswer: -70, -31, -4, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = x**2 + 2*x. Let h(o) = -8*o**2 - 12*o + 88. What is h(y) + 6*u(y)?\nAnswer: -2*y**2 + 88","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 127558?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-36)\/(-180)*-5)\/((-4)\/(-8)*-73).\nAnswer: 2\/73","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 4.65 - 5. Let q = -416 + 416.65. Let u = n - q. What is the nearest to 0.2 in -4\/3, 0.5, u?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 31 - 87. Let g = p - -158. Is 104 at most as big as g?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 692 + 540 = -199*m - 526 + 564 for m.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6\/(-171) + (-4456)\/476235?\nAnswer: -2\/45","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round 128940 to the nearest one thousand.\nAnswer: 129000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 56, 207, 444, 755, 1128, 1551, 2012, 2499?\n\"Answer: -2*y**3 + 55*y**2 + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (6\/5)\/(((-36)\/(-560))\/3). Let a be (9 - (-33026)\/q)\/((-1)\/(-40)). Round a to the nearest one thousand.\nAnswer: 24000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = 4*n + 4. Let b(t) = -t - 1. Let a(s) = s**3 + 6*s**2 + 2*s + 6. Let l be a(-6). Let u(x) = l*b(x) - z(x). Let y = 3 - 7. Determine u(y).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 82 - 10 = 6*i. Let o = -7 + i. Solve -o*a + 3*j = -11, 0*a - 8 = -2*a + 3*j for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h - 19 = 4*z, 2*z = 5*h - 5 - 12. Let q = 4 + 0. Which is the closest to 0.2? (a) q (b) 0.3 (c) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = -3*n**3 - 3549*n**2 + 170*n + 201121. What is h(-1183)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 3572421 - 2032421. What is p rounded to the nearest 100000?\nAnswer: 1500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1651\/1778*(-348)\/39\nAnswer: -58\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i + 2*i + 2835 = 0. Let r be i + (0 - 3)*1. Is 4\/10 + r\/(-30) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(-2\/29)*t*t\/t**(2\/5)*t)**30*t**(-9)\/(t\/t**8)*((t*t\/(t**(-1\/3)*t*t))\/t)**27 assuming t is positive.\nAnswer: t**(1622\/29)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 13711753?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = -2*b**2 - 6*b + 2. Let f be (1\/(-1))\/(4\/12). Let w be m(f). Solve -u - u = -w for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 677028 a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 117\/(-6)*4\/(-6). Let o be (-14)\/(-35) - t\/20. Let r = 183 - 186. What is the nearest to 0.1 in o, -0.2, r?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l + 512 = -3025. Is 21 a factor of l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.046 and -0.058?\nAnswer: 0.002668","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = j**2 + 4*j - 6. Let x = 26 - 20. Let h be x*4\/(16\/(-4)). Determine n(h).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -9.83588 to one decimal place.\nAnswer: -9.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 3\/10, -303.6, 4, 0.2, 0.03?\nAnswer: 0.03","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 224, 450, 676?\nAnswer: 902","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -16 - -319653?\nAnswer: 319637","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3376 is divided by 26?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Determine w, given that -3*w**5\/5 - 456*w**4\/5 - 17316*w**3\/5 + 1824*w**2\/5 + 69312*w\/5 = 0.\nAnswer: -76, -2, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -879 - 0.03191487?\nAnswer: -879.03191487","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) be the first derivative of 2*v**3\/3 - 453. Let x(i) = -2*i + 704. What is o(x(p))?\nAnswer: 8*p**2 - 5632*p + 991232","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.17801 rounded to 3 dps?\nAnswer: -1.178","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 6334151090?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 24249999.\nAnswer: 3, 101, 163, 491","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is one quarter of a litre in millilitres?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1\/(-1))\/((-203)\/(-29))?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 16\/(-5)*(-165)\/(-22)*(-162)\/486\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2523107?\nAnswer: 2523107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-30*a**2 - 23*a**2 + 55*a**2 + 25*a)*(-a - 2*a + a).\nAnswer: -4*a**3 - 50*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -6 - 5?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express (0 - 1 + 3)*(-1303 + 789 - 1632)*(-3 + 3 - 4*r) as i*r + h and give i.\nAnswer: 17168","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 3610 and 9025.\nAnswer: 18050","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -5 + 4.7. Suppose 2*g + 0*a = -4*a - 28, -18 = g + 3*a. Let q be (g\/(-10))\/((-6)\/(-4)). What is the nearest to q in 0, -0.4, l?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 + (5 - 8 - -5)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 629, -1 in decreasing order.\nAnswer: 629, -1, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 108\/((-198)\/22) + (0\/(-1))\/(-4)\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -7 + 15 - (-4 + 9 + 4 + -6 + 111).\nAnswer: -106","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4 + 7 - 16761*g + 14503*g)*(-2*g**3 + 0*g**3 - g**3) in the form f + h*g**2 + l*g**4 + w*g**3 + y*g and give l.\nAnswer: 6774","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is (1764\/48)\/21*-4?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -2811*-70.6\nAnswer: 198456.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) be the third derivative of -9*t**7\/70 + 43*t**4\/24 - 1304*t**3\/3 + 1116*t**2. Differentiate s(x) wrt x.\nAnswer: -108*x**3 + 43","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) be the first derivative of -9\/8*x**4 - 9 + 3\/20*x**5 + 0*x**2 - 1\/120*x**6 - 2\/3*x**3 + 0*x. Let p(y) be the third derivative of j(y). Factor p(i).\nAnswer: -3*(i - 3)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find m such that 49*m**5\/2 - 7168*m**4 - 24820*m**3 - 13072*m**2 + 14216*m - 2368 = 0.\nAnswer: -2, 2\/7, 296","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4\/(-3)*(-18)\/(-84)*7.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 220 - 220. Let t(r) be the third derivative of 0 - r**3 - 2*r**2 - 1\/3*r**4 + s*r. Differentiate t(z) wrt z.\nAnswer: -8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1273950*n + 11609*n**4 - 1273950*n)*(-1 - n + 1) + 2*n**3 + n**5 - 2*n**3 - n**5 - 3*n**4 + 3*n**4.\nAnswer: -11609*n**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 454*j - 14085 - 10986 + 4187 = 0 for j.\nAnswer: 46","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {l: 7, u: 6, s: 4, g: 1}. What is prob of sequence lsss?\nAnswer: 7\/3060","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = -l**2 - 1. Let p(y) be the third derivative of y**5\/15 + 4*y**3\/3 + 61*y**2 + 3. Calculate p(j) + 6*r(j).\nAnswer: -2*j**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -481426 + 481424. Suppose -k = 5*c - 25, -2*k + 33 = 3*c - 5*k. What is the second smallest value in -2\/9, c, z?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -13*f*h**3*v - 226701*f*h*v - 40828*h**3*v + h*v - v wrt f.\nAnswer: -13*h**3*v - 226701*h*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 80 - 37189?\nAnswer: -37109","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -2309 + 2292. What is the closest to 2\/7 in -2, 13, m, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -11.518929+-20371\nAnswer: -20382.518929","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = -2*l + 10. Let u be p(4). Suppose -u*z = -3*a - 7*z - 18605, -5*z - 24805 = 4*a. What is a rounded to the nearest 1000?\nAnswer: -6000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 2 + -8 + 5 - -6. Let d(p) = p**3 + 9*p**2 - 13*p - 9. What are the prime factors of d(l)?\nAnswer: 2, 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-40)\/(-80))\/(174\/12*-1)?\nAnswer: -1\/29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 36 and 396?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6619 is divided by 1057?\nAnswer: 277","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence iii when three letters picked without replacement from wibiyindbbbiyyb.\nAnswer: 4\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -41, -40, -61, -98, -145?\nAnswer: -196","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = 122*u + 1571. Calculate z(-13).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n\/(n*n**(-2))*((n\/n**(-4))\/n)\/n*n*n)**27*((n\/(n**(-4)*n)*n)\/(n**(-2)*n))\/(n**(1\/4)*n*n\/n**(-5)) assuming n is positive.\nAnswer: n**(751\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3 + -4 + 5 + 36\/15.\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express -3 + 3*u + 3 + (6*u + 6*u - 9*u)*(-2 + 3 + 0) + u - 4*u + 2*u in the form n*u + c and give n.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 5151809 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = -q**2 + 11*q - 17. Let j be m(8). Suppose -j*c + 9 = -4*c. What is the units digit of c?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*u + 38 = -4. Calculate the greatest common divisor of 35 and u.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*o + 3*y = -27 + 28, 0 = -5*o - 3*y - 8 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = -z**3 - 13*z**2 + 11*z - 33. Let x be t(-14). What is the least common multiple of (1 - 0)*-1 - (0 - x) and 10?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 38 a factor of 9 + -8 + (-18)\/14 - (-70380)\/7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 7954.8 + -7955. Let s = 0.7 - 1. What is the nearest to x in 0.5, -2, s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 29267479 minus -0.869?\nAnswer: 29267479.869","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k*k*k**(-1\/3)\/k*k)**(-10\/13)*(k**(-1\/3))**(-47) assuming k is positive.\nAnswer: k**(187\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2*r**4*y - 797*r**4 - r**3*y**3 + 7*r**2*y**2 + 21*r*y**3 + 5*y**3 wrt r.\nAnswer: 48*r*y - 19128*r - 6*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.2 - -0.1. Let j = 2 - 2. Which is the nearest to j? (a) 3\/4 (b) 1\/4 (c) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-19 - -28) + (-1 - 6) + (-22 - 40).\nAnswer: -60","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = 9*u**3 - u**2 - 9*u - 11. Let d(s) = 4*s**3 - 4*s - 5. Let x(a) = 2*c(a) - 5*d(a). What is the remainder when 18 is divided by x(-2)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -11 + 308. Let m = n - 268. Put m, -4, 1 in descending order.\nAnswer: m, 1, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -130, 5, 92, -3, 0 in decreasing order.\nAnswer: 92, 5, 0, -3, -130","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 10011111 (base 2) to base 6\nAnswer: 423","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert -888 (base 15) to base 11.\nAnswer: -14a3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 608?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 3321220233 + 21?\nAnswer: 3321220320","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 2 + -124. Let v = -246839\/22 + 11217. Calculate the common denominator of ((-2)\/(-16))\/((-4)\/n) and v.\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 60 is divided by 19?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b - 12 = -6*b - 3*m, 5*m - 20 = -b. Suppose b*n + 3*n - f = 10, 4*f + 1 = -n. Suppose 0*i + p = 4*i - 9, -5*p + 3 = 4*i. Solve i*x = n*x - 1 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-38)\/(-95))\/(18\/(-10))?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -25 in -4, 0.07, 2\/5, 4576.3, -6?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = -l**2 + 8*l + 12. Let t be j(9). Solve -t = -4*n - 23 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1.97 - 2. Let j = 0.07 - p. Let x = -1 + 1.2. Which is the smallest value? (a) x (b) j (c) 1\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 31679 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2180 = -28*v - 1760 for v.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -2686 + 2684. Suppose -4*m + 1 = 97. Let j be 84\/m - (-1 - 2). Is j at least n?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1039296 a multiple of 24?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22*s + 12*s = 102. Solve 0 = 2*u - 5*y + 10, -3*u - y + 31 = s*y for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (3\/63)\/((-37 - -32) + (-56)\/(-12))?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v + 9 = -35. Let x = 43 + v. Let p be (x\/(-3) + 3608\/(-24))*-3000. Round p to the nearest 1000000.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3 + (-84)\/(-8) - 12?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) be the second derivative of 3*f**5\/20 + 11*f**4\/4 + 2*f**3 - 90*f**2 - 9*f - 4. Let l(r) = 0. Calculate r.\nAnswer: -10, -3, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1.95 + 24.35. What is g rounded to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12*j - 22*j - 19 + 13*j.\nAnswer: 3*j - 19","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) be the third derivative of -b**6\/40 - b**4\/8 - b**3\/2 - b**2. Suppose -4*k - 12 = 7*i - 6*i, -3*k - 2*i = 9. Let c(m) = m + 1. What is k*c(u) - r(u)?\nAnswer: 3*u**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 31610\/9 + -3522. Let f = -937919 - -109735361\/117. Let p = g - f. Which is the biggest value? (a) -4 (b) p (c) 0.7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -348067.1 rounded to the nearest one thousand?\nAnswer: -348000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 192831797 to the nearest integer?\nAnswer: 13886","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -7, -4, -53, -6, -57 in decreasing order.\nAnswer: -3, -4, -6, -7, -53, -57","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9523.68 months to decades.\nAnswer: 79.364","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -56 times -7972\nAnswer: 446432","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*v**2 - v**2 - 4*v**2 + (-2 + 2 - 2*v)*(-4 + 4 - 2*v) + (2*v - 2*v - v)*(-81 - 22 - 67 - v).\nAnswer: 3*v**2 + 170*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -23 * -10918.387\nAnswer: 251122.901","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*w**4 + 5*w**3 - 15*w**2 - 5*w + 10 = 0 for w.\nAnswer: -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 11884 is divided by 95?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t - 3 = 42. Let b = -11 - t. Solve 3*r = -2*x + 1, 4*r + r = -b*x + 5 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**0\/j*j*j)**1\/((j**(-7)*j)\/(j*j**(5\/2))) assuming j is positive.\nAnswer: j**(21\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor 112*l**2 + 50404*l + 1800.\nAnswer: 4*(l + 450)*(28*l + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 8 + -3. Suppose -8 = -m*r + 22. Let i(q) = 2*q - 5. List the prime factors of i(r).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1 - (-1 - -4 - 4)) + 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = 2*y - 1. Let g be c(3). Suppose n = g*o - 0 - 19, -o = 3*n - 7. What is the tens digit of 57 + -4*o\/(-8)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) be the second derivative of -23*d**3\/6 + 3*d**2 + d. Let k be a(-2). Let h = 58 - k. Solve -h = 3*v - v for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = -s**2 + 7*s. Let f be (24\/(-28))\/(4\/(-14)). Suppose -3*c = 3*o - 5*c - 2, 5*o - f*c = 5. What is n(o)?\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 360 and 7590120.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3*(22\/6 - 4)*0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(2) + (sqrt(12)\/sqrt(3))\/sqrt(2) + 2)**2.\nAnswer: 8*sqrt(2) + 12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 7794177023\/622660 + 33\/31133. Let n = g + -12521. Find the common denominator of 109\/22 and n.\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -23942, -24024, -24106, -24188?\nAnswer: -24270","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -12*((25\/(-5))\/5)\/21.\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/4 in 4, 3, 3\/7, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 j when two letters picked without replacement from jjmvjjqujm?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 32518 less than -25838?\nAnswer: -58356","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f*(f**(-3\/10)*f)\/f*f*f**(-2\/7))\/((f*f*f*f**(1\/3)*f)\/(f*f\/((f\/f**5)\/f))))**(-2\/13) assuming f is positive.\nAnswer: f**(-857\/1365)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (8\/(-8))\/(1\/(-5)*-1).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-1)\/5)\/((-12142)\/(-715) + -17). Solve 0*d - d - n = -3*m, -m - 5*d = -25 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 54\/1656*(-176)\/(-11)*(-1)\/(-6).\nAnswer: 2\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 789 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -1 * -8317\nAnswer: 8317","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q = 4*q + v + 417, 10 = 5*v. Is q composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:15 AM and 12:29 PM?\nAnswer: 194","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 3148.473l in millilitres?\nAnswer: 3148473","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6 = -2*u + 4*c, 9*u = 13*u - 3*c - 2 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -613839 and 11.\nAnswer: -6752229","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10 + -519819594885.7.\nAnswer: -519819594875.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -59.9 + 154.9. What is the second biggest value in 5, a, -0.07?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -313 + 32?\nAnswer: -281","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jp when two letters picked without replacement from {j: 1, k: 1, v: 3, p: 1, c: 1}?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -71, -148, -235, -332, -439, -556?\n\"Answer: -5*p**2 - 62*p - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -416, -9, 6, 2, 0, -3, 4 in decreasing order.\nAnswer: 6, 4, 2, 0, -3, -9, -416","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = -c - 2. Let s be n(-10). Suppose 3*g + 20 = 4*d, 0*g + 2*g = -s. Suppose -2 - 7 = 3*w. Put 9, d, w in descending order.\nAnswer: 9, d, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -40*x - 32*x - 22*x + 778*x**3 - 45*x wrt x.\nAnswer: 4668*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -13819 (base 10) to base 13\nAnswer: -63a0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -217aa (base 16) to base 4\nAnswer: -201132222","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a - 5*b - 700 = 0, 0 = 3*a - 2*b - 2*b - 424. What is the units digit of a?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4*w + 13 + 7 + 19 - 38 + 10 to the form m*w + g and give g.\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 39*d**3*h*m*w**3 + 3*d**3*h + 39*d**3*w**3 + d**2*h*w**2 - d*h*w**3 - 7*h*m*w wrt m?\nAnswer: 39*d**3*h*w**3 - 7*h*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 4419784 divided by 2?\nAnswer: 2209892","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6 = -2*i - 5*b, -2*b + 47 = -2*i + 41 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -101 + -1100001100000000100100?\nAnswer: -1100001100000000101001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round 705.15344 to the nearest integer.\nAnswer: 705","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w - 2*h = 23 - 3, w + 12 = -2*h. Let g(y) = y**2 - 32*y + 4. Let j be g(0). Put w, 2, j in descending order.\nAnswer: j, 2, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) be the second derivative of -82*v**2 - 176*v + 0 + 1\/6*v**3. Let j(k) = -2*k**2. Determine j(s(p)).\nAnswer: -2*p**2 + 656*p - 53792","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p*p*((((p\/((p\/(p*p**6*p))\/p))\/p)\/p)\/p)\/p)\/(p*p**5))\/(p*p\/(p*p**0)*p**5*p) assuming p is positive.\nAnswer: p**(-6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -3477*h**2*i**2*q**2 + 4*h**2*i**2 - 2*h**2*q - 2*h**2 - 3*h*i**2*q + 15*h - 7*i**2 - 42*i*q**2 - 105*i*q - 8*q**2 wrt q?\nAnswer: -6954*h**2*i**2 - 84*i - 16","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = 10*v**2. Let b(m) = -214*m - 2*m**2 + 8*m**2 + 214*m - 5*m**2. Give s(b(p)).\nAnswer: 10*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 1848 a factor of 1774858008?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q\/q**(-1\/12))**(3\/8) assuming q is positive.\nAnswer: q**(13\/32)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 122247 a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.2? (a) -0.3 (b) 4 (c) -1\/7 (d) 3 (e) -0.191 (f) -6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*r + 16*v - 12, -3909*r + 24 = -3907*r + 14*v for r.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -0.01 (b) -3 (c) 25752\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = 33*x**2 - 61*x**2 + 27*x**2. Let a(b) be the first derivative of -2*b**3\/3 + 1. What is l(a(k))?\nAnswer: -4*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 48 is divided by 7.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = 85653*k - 31605943. Give f(369).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 66281 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 9122, 9102, 9058, 8978, 8850, 8662?\nAnswer: 8402","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = -18*p**2. Let n(c) be the second derivative of -43*c**4\/6 - c**2 - 9178*c. Give n(b(x)).\nAnswer: -27864*x**4 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 4 + -2. Suppose v*m = 4*n - 74, -65 = -4*n - 0*n + 5*m. Suppose -6*a = -2*a - n. Is 4 a factor of a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: (72\/(-14))\/(-18)*14\/8\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*f + 12*f**3 + 11*f**3 + 2*f + 8*f.\nAnswer: 23*f**3 + 7*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11 = 4*v - 9, -5*r = -v + 5 for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 563123918?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -47*d + 101*d + 100 = 79*d. Let j(h) = 6*h**2 - 21. Give j(d).\nAnswer: 75","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-198*m**2 - 447*m + 447*m)*(5*m**2 + 3*m**2 - 11*m**2) to the form w + c*m**3 + p*m**2 + z*m + g*m**4 and give p.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -27 - 5 = -8*n for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -17.6 + 13.6. Which is the second biggest value? (a) 4 (b) t (c) -1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h**5\/7 - 2*h**4\/7 + 348*h**3\/7 + 144*h**2 = 0. What is h?\nAnswer: -12, -3, 0, 14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -4*k*o**2*p*q**2 - 2*k*o**2*p - k*o + 94*k*p*q - 3*k*q**2 - 2*o**2*p*q + 2*o**2*q + o*p*q + 229*p*q**2 wrt q?\nAnswer: -8*k*o**2*p - 6*k + 458*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -25*g**2 + 33*g**2 - 19*g**2.\nAnswer: -11*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 654809 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 504 and 193584888.\nAnswer: 504","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g - y = -5*g + 9, -5*y = 3*g - 35. Let u = 4 - -2. What is the lowest common multiple of g and u?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = -10*p**2 + 5*p + 5. Let w(j) = -6*j**2 - 3*j**2 + 4*j - 1 + 5. Let c be (-795)\/120 + (-18)\/48. Calculate c*w(k) + 6*b(k).\nAnswer: 3*k**2 + 2*k + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 16*v + 19*v - 67*v + 18*v + 17*v.\nAnswer: 3*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -270.02 - 208.89. Let t = i + 479. Let v = -3.99 - 0.01. Which is the nearest to t? (a) -0.1 (b) v (c) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve g + 5*y + 199 = 135, 17*y - 23*y = 4*g + 242 for g.\nAnswer: -59","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 75 + 12 + (-38 - 29).\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: (-10)\/4*(-75978)\/9045\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 81 (base 14) to base 7\nAnswer: 221","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ii when two letters picked without replacement from {j: 8, i: 3}?\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v - 8 - 4 = 0. Let p be (v\/(-2))\/((-24)\/(-64)). Let c(m) = -3*m**3 + 5*m**2. Let o(h) = -2*h**3 + 4*h**2. Let b = -1 - 2. Calculate b*c(t) + p*o(t).\nAnswer: t**3 + t**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 3, 0.4, -0.2, -0.7, 2\/15 in descending order.\nAnswer: 4, 3, 0.4, 2\/15, -0.2, -0.7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) be the first derivative of -y**2 - 17. Let c(b) = b**2 + 18*b**2 - 4*b**2 + 5*b**2. What is g(c(p))?\nAnswer: -40*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = -4*t**3 - 7*t. Let y(p) = -8*p**3 - 15*p. Determine 13*r(g) - 6*y(g).\nAnswer: -4*g**3 - g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*c - 66 - 73 = -37 for c.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 875*3.5693.\nAnswer: 3123.1375","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put -68, -52, -1\/4, 0.4 in ascending order.\nAnswer: -68, -52, -1\/4, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 1\/4 (b) -0.3 (c) -1 (d) -0.07 (e) -5\/12 (f) -2 (g) 453.67\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/15? (a) -4 (b) -2.6579 (c) 0.5 (d) 39\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 25372 + -608783\/24. What is the common denominator of 43\/36 and i?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = -8*n + 68. Let q be z(9). Let l(i) be the first derivative of -5*i - 1\/2*i**2 - 3. What is l(q)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find l such that l**2\/4 - 6*l - 13 = 0.\nAnswer: -2, 26","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-2 - -318849) + -2*9\/6. Suppose 0 = 9*z - 437156 - f. Suppose -3*b + b + z = 0. Round b to the nearest 10000.\nAnswer: 40000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 8 - (3 - -8) - -7?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -31, -113, -251, -445?\nAnswer: -695","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -109014*n**2 + 2 + 108868*n**2 - 2.\nAnswer: -146*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*f + 9*f + 6*f + (-2*f + 0*f - 3*f)*(-5 + 0 + 3))*(f + 0*f - 2*f + (-1 + 1 + f)*(-4 + 2 + 0) + 2 - 2*f - 2 + 3*f - 3*f + 2*f).\nAnswer: -81*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 465 and 69232703.\nAnswer: 1038490545","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Divide -255 by 51.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y*(y*y**0*y)\/y)**20)**3\/((y**(1\/3))**(-9)*(y**(-6)\/y*y)\/(y\/y**(-4)*y)) assuming y is positive.\nAnswer: y**135","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in eight thirds of a hour?\nAnswer: 9600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 6, 0.3, -2\/11, -19, -47?\nAnswer: -47","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 144630 = 159*t + 147333 for t.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1211121102 (base 3) to base 7.\nAnswer: -210302","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 4\/(-10) + (-102)\/(-30). Suppose -3*c = n - 2*c - 1, b*n + 5*c = 1. Suppose -n*z + 13 = -z. Is z a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 4797.1911 to the nearest one hundred.\nAnswer: 4800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 20*-24555.\nAnswer: -491100","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 13\/5 of a minute?\nAnswer: 156","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 756?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 155 - 147. Suppose -16 = 4*j, -5*x + s*x - 4*j - 58 = 0. Solve -4*i - 6 - x = 0 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = x**2 - 14*x - 28. Let u be h(17). What is the second derivative of u*b + 5 + 18*b**4 - 5 + b wrt b?\nAnswer: 216*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = -7*o**2 - 42*o + 11. Let w(s) = 20*s**2 + 118*s - 32. Let f(n) = 17*a(n) + 6*w(n). Give f(6).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = -2*o. Let w(t) = 440*t + 443*t - 895*t. What is w(y(b))?\nAnswer: 24*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: (-25 - (1 - -1) - (-108 - -119)) + 3\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 14 + -2104223?\nAnswer: -2104204","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 14 - -14109?\nAnswer: 14123","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 65 - 55. Suppose y = 4*y + 3*w + 3, -y = 4*w + u. Factor -38 - 47 - 4*s**y + 20*s + 157 - 48.\nAnswer: -4*(s - 6)*(s + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:14 PM and 5:34 PM?\nAnswer: 20","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 7503906?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = -8*p. Let y(m) = m - 3*m + m + 3*m. Calculate x(y(z)).\nAnswer: -16*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = -5*u**2 - 17*u + 2. Let g = 248 - 251. Let p be v(g). Solve -p*y = -4*y for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-45)\/54)\/((-4810)\/(-104))\nAnswer: -2\/111","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.5*10314.4.\nAnswer: 5157.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-289)\/(-51) - (2 - -3). What is the nearest to -1 in 0.4, -2, 9, v?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 71 - 69. Solve 0*m - p*m = 0 for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*r + 2*d + 28, -14 - 13 = -3*r + 3*d. Suppose 0*a = -5*a - r. Calculate the remainder when (42\/a)\/(24\/(-40)) is divided by 6.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -23 - -16. Let d(o) = -o - 2. What is the lowest common multiple of 3 and d(m)?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b = 2*p - 42, -130 = -6*b + 3*b - 4*p. Suppose -b = -2*o + 34. What is the highest common factor of 16 and o?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h - 1 = 0, 3*h - 27 + 118 = -p. Let i be (-2 - 1\/1)*4627\/(-126). Let m = p + i. Calculate the common denominator of m and 83\/22.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -1 + (0 + -1 - 422). Let g = s + 2094\/5. Find the common denominator of g and -16\/7.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 386754054.\nAnswer: 2, 3, 64459009","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -134 - -135 - (0 - 4).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 24149 to the nearest integer?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 17 a factor of 51820518?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_test"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 108540?\nAnswer: 2, 3, 5, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = n + 1. Let a(h) = -h**2 + 3*h + 4. Let v(k) = a(k) - 2*c(k). Let l(u) be the first derivative of v(u). What is l(-3)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = -t - 2. What is the smallest common multiple of t and 33?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 87311298 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 46697 to the power of 1\/4, to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 107034.1 rounded to the nearest one thousand?\nAnswer: 107000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 32741565407 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = -4*f**2 + f. Let q(v) = -v**3 + 6*v**2 + 8*v - 1. Let l be q(7). Let z be 28\/(-21) + (-4)\/l. Let b be (-6)\/15*5\/z. What is x(b)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 140*p**4 + 5*p**3 + 2*p**2 - 8*p + 9936?\nAnswer: 1680*p**2 + 30*p + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 2566875 and 925?\nAnswer: 925","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put 25\/6, -233.5, 0.1 in increasing order.\nAnswer: -233.5, 0.1, 25\/6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 5, 1, -50, -3, -14 in increasing order.\nAnswer: -50, -14, -3, -1, 1, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 0.035702662625 and -18?\nAnswer: 18.035702662625","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ki when two letters picked without replacement from iikkkiz.\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -0.4 (b) -5\/2 (c) 0.1 (d) 4\/15 (e) -0.818 (f) -0.9\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -301, -654, -1015, -1384?\n\"Answer: -4*u**2 - 341*u + 44","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1908 and 7777644?\nAnswer: 636","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-152)\/608*-12*(-6)\/24)\/(3\/1)?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 25105 is divided by 24963?\nAnswer: 142","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = 2*s**2 - 383*s - 56355. Calculate j(289).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2610357?\nAnswer: 3, 179, 4861","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -2 (b) -69 (c) 4\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express (3 + 2*g**2 - 3)*(1412*g - 220*g - 100*g) as o*g**3 + j*g**2 + m*g + d and give o.\nAnswer: 2184","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = -w + 1. Suppose -7*l + 154 = 7*l. Let s(h) = 6*h - 4. What is l*o(z) + 2*s(z)?\nAnswer: z + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is r in -14*r**4\/15 + 164*r**3\/15 - 166*r**2\/5 + 236*r\/15 + 112\/15 = 0?\nAnswer: -2\/7, 1, 4, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -29*d + 9*d**3 + 2*d**3 + 2*d**3 + 29*d.\nAnswer: 13*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 0.3, -4, -6, -30.7?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 360 = -2*m + 5*m. List the prime factors of m.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2645, -5300, -7955, -10610, -13265, -15920?\nAnswer: -18575","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.2? (a) -0.21 (b) 0.26 (c) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + (sqrt(128) + -2)**2 + (sqrt(6)\/sqrt(3)*-5 - ((3*sqrt(6)\/sqrt(3))**2 + sqrt(2))).\nAnswer: -38*sqrt(2) + 118","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5197 + 5267 = 2077*u + 32346 + 30043 for u.\nAnswer: -25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1*sqrt(64) - sqrt(64)) + sqrt(144)*-6)\/((sqrt(80)\/(sqrt(10)*2 + sqrt(10)))\/(sqrt(16)\/sqrt(4)*3)).\nAnswer: -396*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*c - 4*v - 7, -3*v + 4*v = -4*c - 7. Suppose -4*a - 5*d - 7 = 0, a + 2*d = -0*a - 4. Suppose a*i = -i - 9. What is the nearest to c in 5, 0.8, i?\nAnswer: 0.8","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-48)\/(-40)*5 - 14*-1 a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r = 3*i - 16, -2*r + i + 5 = 3. Let m(u) = 5*u**2 - 2*u. Let g be m(r). Solve -n + 4*j + g = 0, 2*n + 0*j - 7 = 3*j for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -13646 by 347.\nAnswer: -13646\/347","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is (-30 + 20370\/680)*8?\nAnswer: -6\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2)\/1*1*4\/(-24)?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ed when two letters picked without replacement from {a: 2, d: 2, y: 2, h: 4, e: 3}?\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w + 0*w = -3. Suppose -11 = z + 4*j, 3*z = -6*j + 7*j + 19. Suppose -z*y + 64 = x, 8*y - 5*x = 5*y + 44. Put 2, 0, y, w in decreasing order.\nAnswer: y, 2, w, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = u**2 + 11*u + 23. Let n be o(-8). Let b = 1\/2 + -11\/10. Is b less than n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v\/v**(2\/3))**(3\/11)\/(v*v**1*v)**(2\/57))\/((v**(-1\/3))**(-38))**36 assuming v is positive.\nAnswer: v**(-95307\/209)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -277*z + 276*z + 305*z**3 + 300*z**3.\nAnswer: 605*z**3 - z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 87\/5 of a century?\nAnswer: 174","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(120) - (sqrt(120) - ((sqrt(120) + sqrt(120) + sqrt(120)*2)*-4 - sqrt(120))))\/(sqrt(36)\/(sqrt(6) - sqrt(6)*2 - sqrt(6))) + -5)**2 + 3.\nAnswer: -680*sqrt(5) + 23148","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*r**3\/7 + 203106*r**2\/7 + 215606070*r\/7 + 57521493350\/7.\nAnswer: 2*(r + 535)**2*(r + 100483)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 384 - 1700. Let q be s\/35 + 4\/(-10). What is the tens digit of -4 - -1 - (q - 6)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -25*i**2 + 429*i**2 - 21*i**2 - 384*i**2.\nAnswer: -i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*b - 6*b. Let a = b + -1. Let h(u) = -48*u**2 - u - 1. Let x be h(a). What is x rounded to the nearest 10?\nAnswer: -50","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -832281, -832631, -832973, -833301, -833609, -833891, -834141?\n\"Answer: g**3 - 2*g**2 - 351*g - 831929","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*k - 172 + 492. Let f be k*((-2)\/(-4) - 1). Suppose 3*z = -f + 92. Calculate the least common multiple of 16 and z.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = 2*n + 48. Determine k(-21).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 615?\nAnswer: 3, 5, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express (-12 + 12 - 12*p)*(4*p + 2*p - 4*p + (4*p - 4*p - p)*(5 - 3 - 4) - 69*p + 15*p - 61*p) as o*p + t + r*p**2 and give r.\nAnswer: 1332","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -3\/4 - -1\/2. Let n = -11.6 - -11. Let o = 0.4 - n. Put 3, w, o in ascending order.\nAnswer: w, o, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 divided by -3648281.\nAnswer: 1\/3648281","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = -t**3 - 13*t**2 - 48*t - 16. Calculate the remainder when 257 is divided by a(-7).\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in -2, -0.1, 0.2, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express 10 + 13*s**2 - 2*s - 13*s**2 + 6 - s**2 as p*s + r + k*s**2 and give p.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 0.223959 years?\nAnswer: 0.00223959","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 17.3963 * 0.054\nAnswer: 0.9394002","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (q**3 - q**3 + q**3)*(7 - 6 - 16) - 109 + 109 - 20*q**3.\nAnswer: -35*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*x + 4 - 4)*(-4*x**2 - x**2 + 4*x**2).\nAnswer: -5*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 270720\/(-1880)*8\/(-1008).\nAnswer: 8\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 443 minutes after 11:47 PM?\nAnswer: 7:10 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 5716, 5906, 6420, 7420, 9068, 11526?\n\"Answer: 27*z**3 + z + 5688","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -1867244973 - 5?\nAnswer: -1867244978","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*r = 5*k - 9, 2*k + 3 = 4*r + k for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify m*m\/(m*m\/m**(-29))*m**(2\/15)*(m**(-14))**(17\/5) assuming m is positive.\nAnswer: m**(-1147\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 19 + -16. What is the third derivative of 4*o**3 - k*o**3 + 12*o**5 - o**2 - o**3 wrt o?\nAnswer: 720*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -234*-0.14.\nAnswer: 32.76","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 - ((-1 - -1) + -2 - 3)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 253397 is divided by 100.\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -1*3*(-8)\/(-60)\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (18\/(-21))\/(98\/(-1372343)).\nAnswer: 3, 4001","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -351, -350, -347, -342?\n\"Answer: y**2 - 2*y - 350","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 6, 390\/7, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -8573, -17145, -25717?\n\"Answer: -8572*y - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 3 and 1343?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -0.2 and 39916?\nAnswer: 39916.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -7 - 1. Let p = -11 - n. Let u = -2.01 - -2.01. Which is the closest to -2? (a) 1 (b) u (c) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (8\/6 + -1)\/(90\/21600*-16).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_test"},"subset":"dm_maths"} +{"text":"Question: Sort -12, 6, -4, -396 in descending order.\nAnswer: 6, -4, -12, -396","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1037 + -1039. Let l = -13 - -23. Let n = -10.2 + l. Put 0.4, k, n, -2\/19 in decreasing order.\nAnswer: 0.4, -2\/19, n, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -269*g**2*p + 3*g**2*u + g**2 - 53*p*u wrt u?\nAnswer: 3*g**2 - 53*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -533 less than -0.33?\nAnswer: 532.67","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) be the second derivative of a**5\/40 + a**3\/6 - 4*a. Let d(x) be the second derivative of n(x). Let h(f) = 3*f. What is d(h(z))?\nAnswer: 9*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round -1.921 to 2 decimal places.\nAnswer: -1.92","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000007964 rounded to seven decimal places?\nAnswer: -0.000008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 3, -159 in decreasing order.\nAnswer: 4, 3, -159","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = -2*h + 13. Let c be d(8). Let p(v) = 2*v**3 + 5*v**2 + 2*v + 2. Let m(k) = k**3 - k + 1. Let a(t) = m(t) - p(t). Give a(c).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = -40*n**3 - 5*n**2 + 5. Let o(t) = 260*t**3 + 32*t**2 - 32. What is -32*m(s) - 5*o(s)?\nAnswer: -20*s**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w**(-2\/13)\/w)\/(w**(3\/4)*w))\/(w\/(w\/(w**(-3)\/w*w))*w)**(-3\/4) assuming w is positive.\nAnswer: w**(-229\/52)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 581 minutes after 3:24 PM?\nAnswer: 1:05 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -c94ac (base 14) to base 2\nAnswer: -1110110110011100000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.5 and -403.63?\nAnswer: -201.815","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -22*(-21 + 1)*(4 - 15 - (-609)\/56).\nAnswer: -55","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1 + -7. Let j be -3*3\/o*-2. Let y = 3346 - 3350. Which is smaller: j or y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 13708*m**2*p**2 + 2*m**2 - 3*m*p**4 - 88314*m wrt p.\nAnswer: 27416*m**2*p - 12*m*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -2885 - -2896. Solve 36 = j*z + 3 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4 + 4 - v**2)*(-v**2 - 4*v**2 - v**2) - 59*v**4 - 60*v**4 - 173*v**4 in the form y*v + g + j*v**3 + f*v**2 + w*v**4 and give w.\nAnswer: -286","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -3002 or -1209?\nAnswer: -3002","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 409 - 260 = -213*g - 2620 for g.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 799, 13, 124 in descending order.\nAnswer: 799, 124, 13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Divide -5 by -8449.\nAnswer: 5\/8449","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express -27 + 0*g + g + 4 as l*g + v and give l.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -787 = 424*c - 8843 for c.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 25 and 675.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -220, -453, -686, -919?\n\"Answer: -233*c + 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 112879 and 3401.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*r**2 - 8*r**4 + 4*r**2 + (4 - 4 + r**2)*(-14*r + 3*r**2 + 14*r + (-r - 3 + 3)*(-4*r + 2*r + 4*r)).\nAnswer: -7*r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b = -12, 0*b + 11 = -2*i - 5*b. Solve 1 = -2*t - d, 0 = -i*t - 5*d - 10 + 29 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine g so that -4*g**2 + 165308*g + 165312 = 0.\nAnswer: -1, 41328","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16974593\/2 + 1\/2*k**3 + 771\/2*k**2 + 198147\/2*k = 0. What is k?\nAnswer: -257","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q = 4*t + 9 + 2, -4*t = 16. Suppose 4*u - q = 11. Let z(x) = x**3 + 8*x**2 - 28*x - 155. Calculate the smallest common multiple of u and z(-9).\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*2*1*sqrt(76)*6 + -2*((sqrt(76) + sqrt(76) + sqrt(76)*-2 + -3)**2 + sqrt(76))*3)*-1.\nAnswer: -132*sqrt(19) + 54","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 + 1 - 2)*(g**2 + 3*g**2 - g**2) + (-6 + 6 + 2*g)*(-g + 2*g + 3*g) - 3*g**2 - 13*g**2 + g**2 + 2*g**2 + 0*g**2 - 5*g**2.\nAnswer: -4*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 20\/11 + (8 - (-1032)\/(-132)). Solve y*u = -32*u - 170 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (4\/(-2))\/(144\/(-270)). Let s = 4 - b. Sort s, -2\/7, -15 in descending order.\nAnswer: s, -2\/7, -15","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -25987, -25989, -25991, -25993, -25995?\n\"Answer: -2*u - 25985","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5\/(-1)*64\/(-8).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 61\/3395 and 93\/50246?\nAnswer: 251230","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1 - -1. Suppose x*r - 86 = -2*r + 5*u, -70 = -4*r - 3*u. List the prime factors of r.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -197 - -101. Let w = t + 95. Sort w, -5, 0 in ascending order.\nAnswer: -5, w, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 1\/(-4) - (-1 + (-63)\/12). Suppose 8 = -y*a + 26. Suppose -50*x - 36 = -54*x. Solve 0*d + a*d + x = 0 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1 or -2\/736761?\nAnswer: -2\/736761","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 92 = -3*g + 2*y + 197, -2*g = -2*y - 72. Let h = 162 + -154. Solve -g = h*q + 7 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 5.628366 and 37.\nAnswer: 42.628366","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6440213?\nAnswer: 13, 495401","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 274 minutes after 3:47 AM?\nAnswer: 8:21 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = b**3 + 3*b**2 - b - 3. Let r(v) = 1. Let f(q) = 2*q - 2. Let c(t) = -f(t) + 3*r(t). Let i be c(4). Determine d(i).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 555620 * 0.16\nAnswer: 88899.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -2*n*z**2 - n - 94*z**3 - 2*z**2 + z + 9360 wrt z?\nAnswer: -4*n*z - 282*z**2 - 4*z + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(5\/2)\/(k\/k**(-1\/19)))\/(k**14\/(k*k\/(k**7*k)*k)) assuming k is positive.\nAnswer: k**(-667\/38)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n - 1847 = 3*p, 4*n - 1482 = 10*p - 12*p. Let o = n - 7. Calculate the remainder when o is divided by 61.\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = 9*o**3 + 62*o**2 - 8*o - 7. Calculate v(-7).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 4381248*i*r*s + 701*i*s + 4*i + 5*r*s - 33*s - 4 wrt r?\nAnswer: 4381248*i*s + 5*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = -4*u**2 + 6*u. Let p(q) = q**2 - q. Suppose -5*x + 4 = -1. Let o(y) = x*l(y) + 6*p(y). Let d(s) = 3*s. Calculate o(d(v)).\nAnswer: 18*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 956, 3246, 9232, 20690, 39396, 67126, 105656, 156762?\nAnswer: 222220","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j = -4*m - 0*j + 31, -4*j - 4 = 0. Suppose 3*u - m = q - 3, -2*u = 4*q - 8. Solve -u*c = 3 - 13 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 24 and 408?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 392 is divided by 90.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) -1\/2 (b) 8 (c) 2\/9 (d) 1\/6 (e) -0.3 (f) -0.01\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (g**4 + 2*g**4 + 0*g**4)*(2 + 0 + 0) + 15*g**4 - 106*g**2 + 100*g**2 - 2892*g + 2888*g.\nAnswer: 21*g**4 - 6*g**2 - 4*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 4636450, 4636467, 4636498, 4636549, 4636626?\n\"Answer: k**3 + k**2 + 7*k + 4636441","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-1 - -1 - 2)\/(2\/15). Let o = g + 67. Is 10 a factor of o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = j**3 - 82*j**2 + 84*j - 239. Let n be l(81). What is the nearest to 2\/95 in n, -2\/13, -1\/5, 2?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = -w**2 - 75*w - 1347. Calculate c(-44).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = -h**2 + 12*h + 49. Let g be r(-3). Let s = -0.18 + 9.18. What is the nearest to -1\/3 in -0.2, s, g?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = t**3 + 14*t**2 - 116*t + 79. Calculate s(-20).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = -w**3 - w**2 + 27 - 3*w + 0*w**3 - 22 + 4*w. Is k(-5) a multiple of 20?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = 684*u**3 + 22*u**2 - 10*u + 5. Let v(g) = -137*g**3 - 4*g**2 + 2*g - 1. What is -2*f(b) - 11*v(b)?\nAnswer: 139*b**3 - 2*b + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t*t**(2\/5)*t)**(-1\/14)\/(((t**(1\/9)\/t)\/t*t*t)\/(t**(-7\/11)*t*t)) assuming t is positive.\nAnswer: t**(3746\/3465)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 3769463 and 829.\nAnswer: 829","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = -r**3 - 26*r**2 - 25*r - 5. Give w(-25).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = c**2 - 3641720*c - 25492090. Calculate x(-7).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 2 - ((-3)\/8)\/(6\/(-28)). What is the biggest value in 4, n, -22?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -28, 1.2, -3, -1\/20 in descending order.\nAnswer: 1.2, -1\/20, -3, -28","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 y and 1 r when three letters picked without replacement from {y: 2, r: 2, k: 8}?\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*s + 2*h = 10, 3*s + h + 4*h - 25 = 0 for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 668 is divided by 395.\nAnswer: 273","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 773082*w*x**3 + 67*w*x**2 + 2*w*x - 75*x**5 + 2726*x**2 - 3 wrt x.\nAnswer: 4638492*w - 4500*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:19 PM and 10:11 PM?\nAnswer: 52","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -19*h**6 + 20252*h**3 + 506342*h**2?\nAnswer: -2280*h**3 + 121512","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = -6*k - 1. Let d(u) = 14*u + 2. Let y(q) = -3*d(q) - 12*s(q). Let x be y(0). Let g be (-18)\/(-4) + -2 - 2. Sort x, 1\/5, 3, g.\nAnswer: 1\/5, g, 3, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -76*r + 140400 = 4*r. What is the lowest common multiple of 90 and r?\nAnswer: 3510","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 250 + -233 - (-3 - -6)\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 38909880 a multiple of 40?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 0 + -2 - 26\/(-12). Suppose -7*n = -2*o - 3*n + 4, 2*o - 10 = n. Let r = -5 + o. Put a, r, -0.3 in descending order.\nAnswer: r, a, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 23580 and 540?\nAnswer: 70740","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 55\/1647 and 52\/2013.\nAnswer: 18117","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from eygcyckgeekmymcy. What is prob of picking 2 c and 2 m?\nAnswer: 3\/1820","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 34039, 67748, 101469, 135208, 168971?\n\"Answer: v**3 + 33702*v + 336","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/7, 12, 22\/1539, -1, -2\/9.\nAnswer: -1, -2\/9, 22\/1539, 1\/7, 12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c\/c**4*c)**(21\/2)*(c**(-1\/3)*c)**37)**26 assuming c is positive.\nAnswer: c**(286\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = -d**2 + 6*d + 11. Let y be a(7). Suppose -2*v + y*l = -294, l + 177 = v + 5*l. Let g = v + 0. What are the prime factors of g?\nAnswer: 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 5346 and 396?\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1636 - -1635.998205. What is c rounded to 4 dps?\nAnswer: -0.0018","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -549250*t - 549163*t + 1098534*t.\nAnswer: 121*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*n - 2*r - 5, -r - r + 10 = 0. Let o be ((-7)\/126)\/((-1)\/n). Let l = 43\/3 - 307\/21. What is the nearest to l in o, -0.2, 2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = 215*k + 217*k - 648*k + 214*k. Let l(d) = 8577*d**2. What is l(f(c))?\nAnswer: 34308*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 574 + -240. What is the hundreds digit of f?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1)\/((1147\/(-37) + 1865\/60)\/(53\/6))?\nAnswer: -106","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 24330 (base 5) to base 7.\nAnswer: 5236","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 58 divide 2988055?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = 380*x - 2265. Determine k(6).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -220 + -101?\nAnswer: -1021","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 2462395 and 1075.\nAnswer: 215","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -596, -587, -560, -503, -404, -251?\n\"Answer: 2*k**3 - 3*k**2 + 4*k - 599","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 16606 (base 7) to base 6\nAnswer: 34011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 3\/10 of a litre?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u**4\/7 + 208*u**3\/7 + 519*u**2\/7 + 394*u\/7 + 88\/7 = 0. What is u?\nAnswer: -1, -2\/5, 44","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 5583601 + -3520016. Is j prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zt when two letters picked without replacement from xstsstwwxqxzqwxqw.\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = -k**2 - 11*k + 4. Let q be t(-10). Let r be q\/6*45\/(-15). Let s(d) = -8*d - 17. What is the tens digit of s(r)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from dadddddddadd. What is prob of sequence ddaa?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 2\/3, 92, -8\/9?\nAnswer: -8\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (8\/12)\/((-2)\/(-12)). Let k(a) = 14*a - 20. Let p be k(5). Suppose -10 = -3*u - 2*f + p, 2*u = f + 40. Solve u - 4 = m*d for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -23 - ((11 - 6) + -6 - (4 + 6))?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2629 = -32*r + 271*r for r.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from zzxxh. What is prob of picking 2 x and 1 h?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((((m*m**(-1\/6)*m*m*m)\/m)**(-34))**(-1\/27))**(1\/4))**5 assuming m is positive.\nAnswer: m**(1445\/324)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.06767 and 0.11.\nAnswer: -0.0074437","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -190651 or -190654?\nAnswer: -190651","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = v**2 - 9*v + 2. Calculate y(-4).\nAnswer: 54","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 273 + -241. Calculate the common denominator of -11\/5 and -5 - ((-153)\/j + 2)*1.\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -v = 3*n - 13, -5*v + 7 = -5*n + 2 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -55 - 37 = 277*f + 185. Let t be 0\/(1*-1*2). Which is the nearest to f? (a) -1 (b) t (c) 2.8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = -108*k**3 + k - 539. Let j(y) = 91*y**3 - y + 539. Calculate 5*g(p) + 6*j(p).\nAnswer: 6*p**3 - p + 539","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -7465, -7416, -7335, -7222, -7077, -6900, -6691?\n\"Answer: 16*s**2 + s - 7482","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5 = -5*h - 529*m + 525*m, 5*h - 3*m + 40 = 0 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*c**4 - 123*c**3 - 429*c**2 + 555*c.\nAnswer: -3*c*(c - 1)*(c + 5)*(c + 37)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) be the first derivative of 11387*u**4\/4 + 6108*u + 9858. Differentiate m(h) with respect to h.\nAnswer: 34161*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -601*f + 179*f + 378*f.\nAnswer: -44*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -11049.36 and -899267.9?\nAnswer: 888218.54","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 1000 a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-46)\/36 - (-30)\/20. Which is the third smallest value? (a) -0.4 (b) r (c) 4 (d) -6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = 0*y**2 + 5*y - 4*y**2 + 3*y**2. Let k be m(4). Let b(h) = -k*h - 1 + 2*h + 3*h. What is b(2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (0 - 6) + 4 + (-1 - 2).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1476917704.\nAnswer: 2, 17, 10859689","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = -2116*u + 16. Let y be x(-5). Let k = -317849\/30 + y. Calculate the common denominator of 97\/14 and k.\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = -13*h - 536. Calculate d(-39).\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 5, -1\/2476, -0.2, -3.7, 0.4?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express ((0*g + 4*g - 3*g)*(-g - 2*g + 4*g) + 2*g**2 - 2*g**2 + g**2)*(-3*g - 2*g + 4*g)*(4 + g - 4) as j*g**4 + y*g + k*g**2 + w + i*g**3 and give j.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 31004 and 828?\nAnswer: 92","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3 + 7 + 4*k**2 - 6.\nAnswer: 4*k**2 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = -2*z - h + 3, 0 = 3*z + 2*h + 5. Let p(s) = s + 1. Let b be p(-3). Let q = b - -2. Is q at most z?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p + 25 + 30 = -2*n, -p + 2*n + 13 = 0. Suppose 9*c - 24 - p = 0. Solve 4*z - 2*i = 12, -4*i + 1 = c*z - 14 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 15*-1*14*(-76)\/(-1330)?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2872794?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort 8, 1, -1\/3, 33, -17, -0.3 in descending order.\nAnswer: 33, 8, 1, -0.3, -1\/3, -17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is (6\/4)\/((-6)\/(-8))?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 2 + 4)*(2*w + 3*w - 4*w + (w + 2*w - 6*w)*(1 + 4 - 3)).\nAnswer: -10*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) be the second derivative of o**6\/6 - o**5\/4 - 5*o**4\/4 + 25*o**3\/6 - 5*o**2 + 151*o + 1. Determine q, given that k(q) = 0.\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 4\/5 in -4\/7, 5, -0.1, 4\/245, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 143 and 26?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 251 minutes after 5:43 PM?\nAnswer: 9:54 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1.6 - 1.8. Let a = -2072\/9 - -230. What is the second smallest value in 0, a, v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5.2 * -3.9739\nAnswer: 20.66428","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2 + 8*u + 4*u - 2*u - 1 to the form p*u + m and give p.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 57573951 to the power of 1\/3, to the nearest integer?\nAnswer: 386","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 at least -4\/9?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 152+-673.29\nAnswer: -521.29","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -45133 + 45137.7787. Let w = g + 3.12334. Let t = w + -7.9. What is t rounded to four dps?\nAnswer: 0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 8.01021128 to 1 decimal place.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 3478*322\nAnswer: 1119916","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*p - 5 = -2*c, -4*p = -106*c + 102*c + 4 for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1)\/((-2)\/8)*2\/(-6)?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -61\/4645755 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -5*36\/(-20)*4. Calculate the highest common divisor of 18 and o.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = 24*a**2 - 45*a + 10. Let g(h) = -16*h**2 + 30*h - 7. Calculate 7*g(i) + 5*t(i).\nAnswer: 8*i**2 - 15*i + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 881344 is divided by 293772.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round -1274802000 to the nearest 1000000.\nAnswer: -1275000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 98 divide 146965700?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -7382*u**5 + 3*u**4 + 603*u**2 + 119.\nAnswer: -442920*u**2 + 72*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 529015.\nAnswer: 5, 31, 3413","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1928*d - 1910*d + 3823*d + 345 = 0 for d.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is seventy-three quarters of a day in minutes?\nAnswer: 26280","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence uzl when three letters picked without replacement from vvzllvvsvu.\nAnswer: 1\/360","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2404?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = 18*t**3 + 4*t**2 - 4*t - 14. Let o(a) = -a**2 + a. Let h = -34 + 33. Let g(d) = h*q(d) - 4*o(d). Differentiate g(c) wrt c.\nAnswer: -54*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1804.7 - -1806. What is the second smallest value in 0, 4, q, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3 = -x, 2*x - 14 = 5*u - 0 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8 + 19 + (-18 - -12 - 1).\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 r when four letters picked without replacement from {r: 7, i: 2}?\nAnswer: 5\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3116127?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 b and 1 e when three letters picked without replacement from bebb?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 2\/29 (b) 2\/63 (c) -0.5 (d) 496 (e) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 468 and 1.\nAnswer: 468","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -171*y + 4*r - 32 = -167*y, -5*y - 12*r + 130 = 0 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {c: 2, u: 6, d: 8, h: 2}. What is prob of picking 2 d and 1 c?\nAnswer: 7\/102","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i = -6 - 15. Solve i = 5*a + 6 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine f, given that 1\/6*f**2 - 22\/3 + 10\/3*f = 0.\nAnswer: -22, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-522 - 69 - 134)*(4*y**4 - 6*y**4 + 4*y**4) as j*y**2 + n*y**3 + k + b*y**4 + o*y and give n.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = i**2 - 3*i - 42. Calculate the remainder when m(-10) is divided by 5.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -1336459999, -2672919998, -4009379997, -5345839996?\n\"Answer: -1336459999*v","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-207 - -175 - (0 + -10)) + 1.\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-2912)\/(-672))\/(130\/(-300))?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y - 5*y = 32. Let m be -4 + -3 - -3 - y. Find the second derivative of 5*l + m*l + 2*l**3 - 6*l + 3*l**3 wrt l.\nAnswer: 30*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-36)\/(-1 - 0)*-1. Let d = -25 - m. List the prime factors of d.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -73*j**2 + 47*j**2 + 57*j**2 - 134*j**2 - 4 - 285*j**2 + 2.\nAnswer: -388*j**2 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*i**3 + 4*i**3 + 2*i**3 - i**3.\nAnswer: -i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 5691610259 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ar when two letters picked without replacement from dradd?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -8733 - -8731. What is the smallest value in -4, -0.4, n, 0.159?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/5 of a millennium in months?\nAnswer: 7200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = -3*h**2 + 8*h + 308. Let s(k) = k**2 - 3*k - 103. Give -4*m(t) - 11*s(t).\nAnswer: t**2 + t - 99","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = -f**2 - 6*f + 1. Let i be s(-6). Let q be 22\/i*(-1)\/(-2). What is the highest common divisor of q and 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p = -2, -11*p = 5*c - 6*p + 5. Let n(k) = -4 - 25*k - 72*k + c + 4. Let w(m) = 3*m. What is n(w(d))?\nAnswer: -291*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*q + q + 3*q)*(-2*q - 2*q + 3*q)*((-3 - q + 3)*(-3 + 1 + 0)*(46 - 46 - 12*q) + q**2 + 4*q**2 + 6*q**2).\nAnswer: 26*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 14143 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = 2*x**2 + 18*x + 8. Let k be s(-9). Suppose 9*a - k = 10. Calculate the greatest common divisor of a and 14.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -124834 less than -124532?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a + 0 = 5*z + 4, 0 = -4*z + 3*a - 6. Solve -4*u - q + 7 = z, -5*u + 0*u + q = -11 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-280)\/60)\/(6\/27). Calculate the remainder when (-2568)\/c + ((-18)\/21)\/3 is divided by 38.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16 = v + 20. Is -23 < v?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = -60*f + 2888. Let q be m(47). Solve -584 = q*a - 40 for a.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 7233 and 9.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = g**2 + 11*g + 21. Let s be p(-10). Suppose -4*j + j - 34 = -4*y, -4 = 4*j + 5*y. Let c(w) = 2*w + 13. Let x be c(j). Solve s = 2*q + x for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine p so that -4*p**5 - 20*p**4 - 36*p**3 - 28*p**2 - 8*p = 0.\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-3 - 0) + 4)*5. Suppose 5*q + s = -55, -11*s - 31 = 3*q - 10*s. Put -3, 1, q, o in decreasing order.\nAnswer: o, 1, -3, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) -42 (b) -117 (c) 5 (d) 1\/8\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = -o**3 + 9*o**2 + 9*o + 8. Let b be q(10). Let v be -29*(-3)\/(-6)*b. Let u = 43 - v. List the prime factors of u.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = v**3 + 192*v**2 + 437*v - 59332. Give a(-188).\nAnswer: -112","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/125 of a gram in milligrams?\nAnswer: 16","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 12380\/349 or 34?\nAnswer: 34","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: (-104)\/(-195)*3\/4\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -214639.9 - -214640. Let b = -1 + 1. Let n = -5 - b. What is the closest to -1\/2 in p, -0.05, n?\nAnswer: -0.05","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = 808*a + 317545. What is g(-393)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 2.8 + -0.6. Let o = z + -2. Let s be 0 - ((-30)\/(-9))\/5. Sort 1\/4, s, o in ascending order.\nAnswer: s, o, 1\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 3 - 0*(1 + 0). Suppose -k - 15 = -6*k. Let u(i) = -k*i + h*i - i. Let c(f) = -3*f. Calculate u(c(y)).\nAnswer: 3*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(16) - sqrt(48)\/sqrt(3))\/(sqrt(242)*1).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g\/(g*g\/(g*g**(-1\/5)*g)*g*g))**32\/(g**(5\/8)*g\/(g\/(g**(-9)*g))*g) assuming g is positive.\nAnswer: g**(-1281\/40)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((0 + sqrt(468) - sqrt(468))**2 - sqrt(468))*-3 + -5.\nAnswer: -5 + 18*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {z: 10, g: 3, k: 2, o: 3}. Give prob of sequence zggo.\nAnswer: 1\/408","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a - 4*w - 3 = w, 0 = -3*a - 4*w + 16. Suppose a*o - 48 = 4*n - n, -o + 13 = -n. Calculate the remainder when o is divided by 6.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = -f - 11786. Let t(j) = -j**2 + 5*j + 58931. Determine -2*t(w) - 11*z(w).\nAnswer: 2*w**2 + w + 11784","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 960775396?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = -743 - 12*l + 739 + 0*l. Let h be j(-1). Let s(k) = 4*k + 0*k + 6*k - h*k. Let i(c) = -c**2 + c. Give s(i(b)).\nAnswer: -2*b**2 + 2*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = -c**2 - 2*c + 60. Let x be 0\/(0\/4 + -1). What are the prime factors of f(x)?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_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: What is the closest to 0.27 in -4356, 4\/7, 7, -2?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -9882612, -9882610, -9882608, -9882606?\n\"Answer: 2*d - 9882614","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 16965*u**2 - 16965*u**2 - 41*u**3.\nAnswer: -41*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor 42*w + 30 + 66\/5*w**2 + 6\/5*w**3.\nAnswer: 6*(w + 1)*(w + 5)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 540 and 6.\nAnswer: 540","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = -115*y + 48. Give v(7).\nAnswer: -757","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.036 times 14?\nAnswer: -0.504","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 9 + -9. Let h = o + 0.06. Let m = h + -0.06. Does m = -0.1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -88*i*o**3*z + 2*i*o**2 + i*z + 3*i + 62*o**3 + 241*o*z - 4 wrt z.\nAnswer: -88*i*o**3 + i + 241*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 725022 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let 4*t**2 - 131261580*t + 262523144 = 0. Calculate t.\nAnswer: 2, 32815393","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 8 + -6. Let v be (1 - (o - 3)) + 4. Suppose 3*x - 30 = -3*w, w - 2*x = -x + v. Calculate the remainder when 15 is divided by w.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 123 divide 52742114?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -3375, -5985, -8595, -11205, -13815, -16425?\n\"Answer: -2610*w - 765","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 6.5 at least as big as 706\/965?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00026348618 rounded to five decimal places?\nAnswer: -0.00026","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand -27*o**2 + 4 - 4 + 0 + o**2 + 0 + (5 - 1 - 2)*(0*o**2 - o**2 + 0*o**2) + (o + 4*o - 6*o)*(-3*o + 7*o - 2*o) - 4*o**2 + 5*o**2 + 3*o**2.\nAnswer: -26*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-87*u + 669 - 669)*(-2*u - 2*u + 2*u).\nAnswer: 174*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y + 9*y = 36. Suppose y*x + 6*x - 144 = 0. What is the greatest common divisor of x and 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-21)\/9*351\/(-72). Let j = -85\/8 + z. Sort 7, 0.3, j, 2\/13 in descending order.\nAnswer: 7, j, 0.3, 2\/13","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (324\/42)\/(24\/(-112))*(-90)\/(-81).\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from masnnaansanmasansa. Give prob of sequence mms.\nAnswer: 1\/612","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(100)\/sqrt(2))\/sqrt(5))\/(sqrt(162) + sqrt(162) + sqrt(162)*1 + sqrt(162)))**2.\nAnswer: 5\/1296","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 279*f**2*y**2 + 3*f**2*y - 6*y wrt y?\nAnswer: 558*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) be the first derivative of -1\/4*l**4 + 7\/3*l**3 + 2*l + 0*l**2 + 3. What is p(7)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = -s**3 + 4*s**2 + 7*s - 1. Let c(l) = 2*l**2 + 10*l - 7. Let t be c(-6). Calculate d(t).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) be the second derivative of 104*q**5\/5 + 62*q**4\/3 - q**3\/3 + 7*q. Find the third derivative of x(v) wrt v.\nAnswer: 2496","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i - 3207 = 2*l + 6648, 4*l - 2*i = -19730. Round l to the nearest one hundred.\nAnswer: -4900","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 2\/(-12)*4\/5. Let k = -115.1 + 120. Let t = 0.9 - k. Which is the second smallest value? (a) 0.4 (b) d (c) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8\/(-224)*-60 + -2.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -433 (b) 79\/5 (c) -441\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express 4*o**4 - 6769*o - o**3 - 2*o**4 + 20*o**4 - 2 + 6768*o as h*o**3 + v*o + q + r*o**2 + x*o**4 and give h.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor 37*k**2 + 28848*k - 2486484.\nAnswer: (k + 858)*(37*k - 2898)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 12478 and 374?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 5\/72 and -41\/1952.\nAnswer: 17568","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -44822, -44105, -43386, -42665, -41942, -41217, -40490?\n\"Answer: u**2 + 714*u - 45537","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 623 minutes after 12:06 AM?\nAnswer: 10:29 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-375 + 48)\/(((-3)\/(-2))\/(-1)).\nAnswer: 2, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 78*(84\/(-9) + 11) is divided by 43?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -99 (b) 1 (c) 4.263\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 2797.052nm?\nAnswer: 0.000002797052","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {d: 5, s: 2}. What is prob of picking 4 d?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 r and 1 t when three letters picked without replacement from {j: 6, r: 12, t: 1}.\nAnswer: 22\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 times -1740?\nAnswer: -6960","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = b + 4*y + 7, -4*b = -4*y + 32. Let g be (-1)\/(-2) + 5280004\/b. What is g rounded to the nearest 100000?\nAnswer: -700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 844, 1668, 2408, 3004, 3396, 3524?\n\"Answer: -10*b**3 + 18*b**2 + 840*b - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t\/t**(-6))\/t**(-1)*t\/((t**(-1)\/t)\/t)*t*t*t*t**(-5)\/t assuming t is positive.\nAnswer: t**9","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 120 and 4760.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -8*j + 7*j - 5*b + 13158, -j + 13148 = -5*b. What is the tens digit of j?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -21 - -14. Let u = -8 - j. Let p be ((-33609)\/3)\/u - 3. What is p rounded to the nearest 1000?\nAnswer: 11000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -102*l + 25*l = 42*l - 17*l for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = x**2 - 2*x - 10. Let s(i) = 9*i + 7*i**2 + 41 - 6*i**2 - 6*i**2. Let g(o) = -2*s(o) - 9*z(o). Calculate g(0).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 676 and 1441739?\nAnswer: 169","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -918\/5 or -183?\nAnswer: -918\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pq when two letters picked without replacement from qqpzktcz?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 11, -15, -55, -115, -201, -319?\n\"Answer: -p**3 - p**2 - 16*p + 29","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 543 and 23840958?\nAnswer: 543","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -3*(0\/1 - 1). Suppose 6*n - 25 = n. Suppose 2*t - n = 2*d + 13, d = m*t - 33. What are the prime factors of t?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -7*i**3*u**3*y - 3*i**3*y + 8*u**3 - u**2*y + 6*u*y wrt u.\nAnswer: -42*i**3*y + 48","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m + 5 = -4*m, 154 = 5*q - 4*m. What is the tens digit of q?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bbzb when four letters picked without replacement from bbzzbzbb?\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is -2\/5 at most -1039209?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n + 6*l = 2*l - 561281, -5*l = 2*n - 374172. Let r(d) = n - 187091 - 6*d - 7*d**2. Let c(z) = z**2 + z. Determine 6*c(f) + r(f).\nAnswer: -f**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of -5 - 4 - (14 - 1684)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (6\/5)\/(76\/(-190))?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o + 5*v + 8 = -3, -6 = 3*v. Suppose j = 3*y + 40, 0 = -4*y + 9 + 11. Is ((-2)\/5)\/(o\/j) a multiple of 22?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 582 minutes before 1:34 PM?\nAnswer: 3:52 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 74, 297, 668, 1187, 1854, 2669?\nAnswer: 3632","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = -2*x - x - 2*u, 5*x - 5*u = -50. Let c(b) = -b - 3. Let l be c(x). Solve 28 = 4*n + 4*r, l*n - 19 = n - 4*r for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i + 277 = 2*c + 21, -2*i + 560 = 4*c. What is the tens digit of c?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*i - 310 = -11*i. Let v = i - -157. Suppose -k + v = 4*k. What is the units digit of k?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = h**3 - 217*h**2 - 1352*h + 3183. Give m(223).\nAnswer: 61","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1408, 1203, 714, -173, -1572, -3597, -6362, -9981?\nAnswer: -14568","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 79\/12 and -77\/201.\nAnswer: 804","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert -15857810 (base 9) to base 3.\nAnswer: -112221221220100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -272 - 64 = -6*t. Calculate the lowest common multiple of 24 and t.\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 31190.95 * -1.\nAnswer: -31190.95","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {n: 1, i: 1, f: 4, v: 2, m: 2}. What is prob of sequence ivn?\nAnswer: 1\/360","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 53 + -82 - -55 - (10 + 0 - 4).\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*w + 4*c - 20 = 4*w, 0 = -4*w - 4*c + 12. Let p(a) = 1. Suppose -2*s + 4 = -s. Let g(r) = 2*r**3 - r + 3. What is s*p(f) + w*g(f)?\nAnswer: -2*f**3 + f + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 8.3 - 11.1. Let q = b + 1.8. Let d = 27 + -83\/3. What is the third biggest value in q, 2, d?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 272, 389, 492, 569, 608?\n\"Answer: -2*w**3 + 5*w**2 + 116*w + 153","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-1 - -3) + (-250 - -5). Let a = 347 + b. Is a a multiple of 40?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2403303 (base 5) to base 13.\nAnswer: 17173","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 62\/3 of a week in hours?\nAnswer: 3472","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 31379?\nAnswer: 31379","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u + 16 = 3*c + 17, c - 4*u = -9. Let i be 12 - (c\/(-3))\/(4\/24). Let x(j) = j**2 - 11*j + 6. What is x(i)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 6\/5 of a gram?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*k = -12*u + 129, -4*k + 52 + 24 = 8*u for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -4 - (-3 - (6 + -3)). Suppose 0 = -g*j - 8*j + 340. Calculate the common denominator of (-4)\/j + 26445\/1530 and -27\/11.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.4*-8.8.\nAnswer: -3.52","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -3.7 - 0.3. Let b = -646 - -642.11. Let q = b - g. Which is bigger: -1 or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3 divided by -15909028\nAnswer: 3\/15909028","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 43131895?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sum -0.14 and 90.709983.\nAnswer: 90.569983","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 79 + -71. What is the units digit of l?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = 74*o + 529. Let q be u(-7). Solve -n + 10 = q for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = 6*h**3 - 2*h**2 + 2*h + 10. Let z(b) = b - b**2 - 3*b**3 - 3*b**2 + 3*b**2 - 1 + 2*b**3. Let g(c) = u(c) + 5*z(c). Calculate g(6).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = -28005*q. Let u(a) = -2330*a. Let n(m) = 3*l(m) - 35*u(m). Let b(k) = -32*k. Give -232*b(r) + 3*n(r).\nAnswer: 29*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -11, -664, -1 in increasing order.\nAnswer: -664, -11, -4, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -10354 (base 14) in base 6?\nAnswer: -500530","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a - 4*q = 9 - 5, 5*q + 16 = -3*a. Let w(m) = 4*m - 2. What is w(a)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 6, y: 1, j: 1, o: 1, r: 3}. Give prob of picking 1 r and 1 j.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-64)\/8)\/8)\/(70\/5)?\nAnswer: -1\/14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = j**2 + 1 + 38*j**3 - 3*j**2 - 55*j**3. Let p be h(-1). Calculate the highest common divisor of p and 32.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -8651, -8740, -8881, -9068, -9295, -9556, -9845?\n\"Answer: m**3 - 32*m**2 - 8620","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -55*y + 2*c = -50*y - 6810, 0 = 2*y - 2*c - 2730. What is the highest common divisor of 80 and y?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 168\/370 - 2\/5 - (35 + 87920\/(-2590)).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 40*z - 18*z = -121418. Round z to the nearest one hundred.\nAnswer: -5500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 176398 a multiple of 135?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is l in -5*l**5 - 37*l**4 + 26*l**3 + 16*l**2 = 0?\nAnswer: -8, -2\/5, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6178930.\nAnswer: 2, 5, 269, 2297","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is one quarter of a centimeter in micrometers?\nAnswer: 2500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -1928521, -1928530, -1928539, -1928548, -1928557, -1928566?\n\"Answer: -9*w - 1928512","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 120012022201 (base 3) to base 11\nAnswer: 194812","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = 1038*i**3 - 712*i**2 + 23*i - 9. Let y(n) = -259*n**3 + 178*n**2 - 5*n + 2. Let a(u) = 2*f(u) + 9*y(u). Find the third derivative of a(l) wrt l.\nAnswer: -1530","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 91478.39ns to milliseconds.\nAnswer: 0.09147839","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 16895.22mm to meters.\nAnswer: 16.89522","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = 4*c**3 + 200*c**2 - 97*c - 4840. Calculate f(-50).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -91*j**3 + 3*j - 2?\nAnswer: -546*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -27*q + 52 = -25*q. Solve 9*j - 5*j = 3*m + 23, -4*m + 3*j = q for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -23154280*a**5 + 214265*a**2 - 29.\nAnswer: -1389256800*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = 2*u + 3. Let b(s) = s + 1. Let d(v) = v**3 - 10*v**2 - 37*v + 5. Let g be d(-3). What is g*o(n) + 3*b(n)?\nAnswer: n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = -2*y. Let v = 22 + -17. Let t(q) = 4*q - 1. Suppose 10 = 8*z - 3*z. What is v*x(g) + z*t(g)?\nAnswer: -2*g - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-896 - 377 - 414)*(2*m - 2 + 2).\nAnswer: -3374*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-2)\/(-1) - (-2 + 0). Suppose -314 = 5*i - f*t, -59 - 81 = 2*i + 2*t. Let r = -46 - i. Is 20 a factor of r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -35 - -33. Which is the nearest to 4? (a) 4 (b) f (c) 3 (d) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 66.27, 0.5, -32?\nAnswer: -32","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 v and 1 h when two letters picked without replacement from yvjvhvyhhyhhyrh?\nAnswer: 6\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 738 and 126?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 164777, 659166, 1483147, 2636720, 4119885, 5932642?\n\"Answer: 164796*i**2 + i - 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b = -5*f + 4 + 3, 19 = 2*f + 5*b. Let a = 2693411\/6 + -448901. Which is bigger: a or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2 times -128\nAnswer: 256","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -27*f + 8*f + 1425. Calculate the remainder when f is divided by 26.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -18510*k**2 - 18359*k**2 + 38058*k**2.\nAnswer: 1189*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4758*x + 2354*x = 128016 for x.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-1 + -1 + 2)*-1. Suppose 3*k + y*x = x - 911, 5*k = -x - 1521. Does 13 divide 2\/9 + k\/(-9)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.2, 5\/3, -0.26, -345370.\nAnswer: -345370, -0.26, 0.2, 5\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2\/(-4)*(1 - 0)*-1.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 100690778 a multiple of 123?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (-4)\/14 - (((-2859)\/18)\/(-1))\/(-462) and 68\/39.\nAnswer: 5148","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 909 = 8*t - 11*t - 3*w, -2*w = -3*t - 909. Let r = 551 + t. What are the prime factors of r?\nAnswer: 2, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1971.7 + -1975. Put p, -2\/11, -9 in descending order.\nAnswer: -2\/11, p, -9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2 + 6*10\/36*57\/(-10)\nAnswer: -15\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + sqrt(288) - (sqrt(2) - -1*sqrt(200)))**2.\nAnswer: -2*sqrt(2) + 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {d: 9, e: 1, h: 5, w: 3}. Give prob of picking 1 h and 2 d.\nAnswer: 15\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-2)\/(-3) - (-5)\/15. Suppose -3*y + 4*y = -r. Is y at least as big as 5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -445*n + 464*n - 4903121. Is n a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2157 a multiple of 20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 718946315*h**3 - 1116351337*h wrt h.\nAnswer: 4313677890*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 93 and 4262820.\nAnswer: 132147420","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 29671?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-25)\/15)\/((-1)\/3). Let z(r) = r**2 - 8*r + 9. Let q be z(7). Suppose 4*h + q = d*h. List the prime factors of h.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -14448.1793 rounded to the nearest 100?\nAnswer: -14400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 2+-69304127\nAnswer: -69304125","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round -2038129 to the nearest 100000.\nAnswer: -2000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) 441 (b) 7 (c) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = -53*d**3 - 4*d**2 + 7*d. Let s(a) = -50*a**3 - 4*a**2 + 9*a - 1. Calculate 4*l(y) - 3*s(y).\nAnswer: -62*y**3 - 4*y**2 + y + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*u = 7*y - 19, -5*u + 19*y - 21*y - 1 = 0 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 11 and 737.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -4 (base 14) to base 8\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -9*p - 606458 + 2009747. Is p prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence uup when three letters picked without replacement from {p: 5, u: 2, e: 2}.\nAnswer: 5\/252","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round 3.4481 to 2 decimal places.\nAnswer: 3.45","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 9.2 - 9.5. What is the closest to h in -1\/6, 2\/15, -2\/3?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -z - r = -22, 5*z - r = 21 - 64 + 21 + 18 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -69.15 + -11.95. Round i to the nearest 10.\nAnswer: -80","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*y**2\/4 + 33795*y + 228420405.\nAnswer: 5*(y + 13518)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (12 + 3)*(5 - 306\/54).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -369217884 divided by -9674?\nAnswer: 38166","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 41 a factor of 11774412?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -2 - 1. Suppose 2*c - 393 = -395. What is the nearest to c in -2\/11, u, -1\/2?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 510 is divided by 504?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11*u**2 - 6*u - u + 32*u**2 + 4*u.\nAnswer: 43*u**2 - 3*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 878*k + 882 = 829*k for k.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 622734 - 1110519. Let p = -487785.01800116 - j. Let w = 0.018 + p. What is w rounded to 7 dps?\nAnswer: -0.0000012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-8)\/2)\/((-4)\/10). Suppose -5 = -3*d + w. Factor -2*f**5 + f**3 + 0*f**3 + f**d.\nAnswer: -f**3*(f - 1)*(f + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5330 is divided by 124?\nAnswer: 122","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1851 is divided by 109?\nAnswer: 107","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) be the second derivative of -q**5\/20 + q**4\/4 + q**3\/2 + q**2\/2 + q. Let t(c) = -c + 6. Let a be t(8). Let y be f(a). Solve 5*x = -0 - y for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 12 minutes after 10:34 AM?\nAnswer: 10:46 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -211011111022 - 1?\nAnswer: -211011111100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 863983 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = 3*a + 195. Let c be s(-37). What is the highest common factor of c and 1092?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16107871 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2 (base 9) to base 12.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l = -4*i + 38, 2*l = 3*l - 5*i. Let o = 593 - 597. Which is the closest to l? (a) o (b) 4 (c) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 13 or 22?\nAnswer: 13","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = -47*b**2. Let y(f) = 16600261*f**2. Determine v(y(h)).\nAnswer: -12951727267601687*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w**(11\/5)\/(w*w**(7\/6)*w))\/(w**(-4\/11))**(4\/9))**(-27) assuming w is positive.\nAnswer: w**(2391\/110)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = -852*r - 24. Let x(l) = -178*l - 5. Let n(v) = 24*x(v) - 5*y(v). Let q(b) = -30*b. Calculate q(n(j)).\nAnswer: 360*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) be the first derivative of -35*j**3\/3 + 144. Let a(x) = 3*x. Determine p(a(g)).\nAnswer: -315*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = -h**3 + h**2 + 8. Let b(j) = -j + 5. Let m be b(5). List the prime factors of a(m).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0 times -2112\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 393504 divided by -32792?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -5\/3837816 and -35\/24462.\nAnswer: 34540344","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k = -k + 9*k. Let r = 2 + -2.2. Let u = r - -0.1. What is the second smallest value in u, k, -0.2?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 5502720?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(168) + sqrt(168) + 1*sqrt(168)*-1)\/(3*sqrt(192)))\/(((sqrt(35)*2)\/sqrt(5) + sqrt(7) + (sqrt(70)*-2)\/sqrt(10))*3).\nAnswer: sqrt(2)\/36","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f + 58 = 2*f - q, -2*f = 2*q - 28. What is the lowest common multiple of f and (-45)\/(-5) + (292\/(-584))\/((-1)\/18)?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {s: 5, d: 11}. What is prob of sequence ssss?\nAnswer: 1\/364","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -27.4 + 27.5. Suppose b = -2*b - 12. What is the second biggest value in r, b, -2\/19?\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -65\/1152 and (-3)\/(-33) - 25092\/(-85536)?\nAnswer: 3456","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -5053? (a) -0.2 (b) 329 (c) 8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c - y = 95, 2*y + 63 + 55 = -5*c. Let b = c - -7. Let f = 24 + b. List the prime factors of f.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1 (base 6) to base 12\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -67 + (-13 - (-2 - 5 - (2 - 0))) + 2?\nAnswer: -69","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j + 2 = -a, 3*a + 5 = 3*j - j. Suppose -5*t - 14 = -2*k - 3*t, -k - 8 = 4*t. Let h = k - a. Put h, 2, -2 in decreasing order.\nAnswer: h, 2, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -14, 73\/14, -4, 4 in decreasing order.\nAnswer: 73\/14, 4, -4, -5, -14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 24 + 61. Is i prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5171802.\nAnswer: 2, 3, 29, 29723","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -6, -12, -22, -36, -54, -76, -102?\nAnswer: -132","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 654 a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 1963372*p**5 - 409*p - 422?\nAnswer: 39267440*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 2502070715 to the power of 1\/4, to the nearest integer?\nAnswer: 224","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3\/2 in -0.021, -11\/3, 4, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w*w\/(w**1*w*w))\/w)**3*(w**1)**(1\/3) assuming w is positive.\nAnswer: w**(-17\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i = -5*x - 25, 10 = i + 4*i + 5*x. Let w(r) = -r + 5. Let t be w(i). Is 1\/3 equal to t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*n = 2*d - 16, d + 5 = 4*n + 1 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = 53*n + 109. Let f(x) = -27*x - 54. Let z(k) = -9*f(k) - 4*y(k). What is the first derivative of z(d) wrt d?\nAnswer: 31","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1470*f**3 - 2289*f**3 + 824*f**3.\nAnswer: 5*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 22*((-6)\/4 + 1). Let x be (2\/y + 12\/(-55))*-5. Let s(j) = -j**2 + j + 2. Determine s(x).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*t + t**2 - 2*t - 4*t**2.\nAnswer: -3*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -40 + 43. Suppose -26 + 2 = -l*g. Solve -3*x = -5*x + g for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 39312 divided by 52\nAnswer: 756","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = j**2 - 4*j - 3. Let b be i(5). Find the second derivative of 4*s**4 + 4*s - 7*s**4 - b*s wrt s.\nAnswer: -36*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = 9*o**3 - o**2 - 13*o - 23. Let s(v) = 5*v**3 - 7*v - 12. Let t(a) = 6*f(a) - 11*s(a). Let i = -81 - -85. Let x be (3\/i)\/((-5)\/40). Give t(x).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-58*m + 2 + 160*m + 141*m)*(-1 + 4 - 5) as w + b*m and give b.\nAnswer: -486","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 g and 1 i when two letters picked without replacement from pgoui?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -3 + -451?\nAnswer: -454","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19*n + 111*n + 130 = 0. Let b(m) be the first derivative of -12*m**2 - 2. Give b(n).\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n - 19 = 5. Let z = n - 3. Suppose 2*k - z*k + 63 = 0. What are the prime factors of k?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2420675 to the nearest integer?\nAnswer: 134","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((c\/(c*(c\/c**(3\/5))\/c))\/(c*c**14))\/((c**(-4\/11)*c)\/c**2))**(-45) assuming c is positive.\nAnswer: c**(6453\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_test"},"subset":"dm_maths"} +{"text":"Question: Total of -1.383 and -1984.2.\nAnswer: -1985.583","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 3 + -10.5. Let z = -8 - l. Which is the nearest to -2? (a) -4 (b) -1 (c) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9655 is divided by 1071.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*q**5\/9 - 19*q**4\/9 - 7*q**3 - 89*q**2\/9 - 55*q\/9 - 4\/3 = 0.\nAnswer: -4, -3, -1, -1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2097 is divided by 81?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 0.000502573037229 and -0.3?\nAnswer: 0.300502573037229","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 777644, 777643, 777642?\n\"Answer: -k + 777645","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 58 + -27 + -23 + 6 - 121?\nAnswer: -107","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 19*(8\/(-4) - -3). Let t = l + -25. Let a be ((-8)\/t)\/(4\/6). Solve -z - a*z = -4*x - 15, 15 = -x + 3*z for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -41 by 41.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ssss when four letters picked without replacement from {r: 3, s: 17}.\nAnswer: 28\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -13708*l**2 + 13708*l**2 - l - l**3 + l.\nAnswer: -l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 29756 - 22241. What is the highest common divisor of v and 60?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -2479, -4935, -7391, -9847, -12303?\n\"Answer: -2456*c - 23","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = 2*d**2 - 3*d - 7. Let f(b) = 3*b**2 - 4*b - 10. Give 5*f(p) - 7*l(p).\nAnswer: p**2 + p - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.80539 months in decades?\nAnswer: 0.02337825","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-85 - -11) + (7 - -36)?\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(6) + sqrt(6)*-4*-5)\/(3*sqrt(3)*-2).\nAnswer: -7*sqrt(2)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 37 a factor of 14130?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) be the second derivative of u**4\/120 - 17*u**3\/20 + 47*u**2\/5 + 1421*u. What is w in m(w) = 0?\nAnswer: 4, 47","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 10\/(80\/(-6))*(-53)\/((-901)\/(-816))\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 643 minutes before 10:34 AM?\nAnswer: 11:51 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 118929 times 5?\nAnswer: 594645","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1318 = -386*y + 20684 for y.\nAnswer: 57","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 64454 - 3?\nAnswer: 64451","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*((sqrt(130) - sqrt(130)*4*6) + sqrt(130) + sqrt(130)))\/((-5*(sqrt(10) + sqrt(20)\/sqrt(2)) - sqrt(10))*5) + -1.\nAnswer: -63*sqrt(13)\/55 - 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 280, 3, -165 in decreasing order.\nAnswer: 280, 3, -165","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t - 2 = -5. Let y(r) = -6*r + 262. Let s be y(43). Let z(m) = -8339*m**2 + 4 - m**3 + 8344*m**2 + s*m + 2*m**3. Give z(t).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = -5*t**2 + 4. Let h(q) = -5*q**2 + 12 - 6*q**2 - 3. Let s(n) = 4*h(n) - 9*u(n). Let b(z) = -10*z**2. What is b(s(x))?\nAnswer: -10*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 327129 a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 3 - 3)*(21*m + 26*m - 9*m)*(-3 + 0 + 1).\nAnswer: 304*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = -l + 19. Let w be y(12). Suppose 0 = 3*h - 15, -24 = b - 4*h - w. Suppose -b*k = -4 + 1. Calculate the greatest common divisor of 1 and k.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -1 + 1 + -3 - -8. Let w(g) = -y*g + 0 + 0 + 3*g. Let f(b) = 2 + b - 2. Calculate f(w(s)).\nAnswer: -2*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 4031 a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 2326558 to the power of 1\/8, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -190 and 1.\nAnswer: -190","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 17 + 10?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 40568 and 7.\nAnswer: 283976","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 634 minutes after 5:32 AM?\nAnswer: 4:06 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 30\/150*4\/(252\/(-7)).\nAnswer: -1\/45","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9*l**3 + 36 - 2*l**3 - 36.\nAnswer: -11*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 110 and 100.\nAnswer: 1100","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert 783.2375 decades to years.\nAnswer: 7832.375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 22554857?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0.16 or -189?\nAnswer: 0.16","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 0.65 times -0.06\nAnswer: -0.039","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1232 and 2618?\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -560*c**3*z**3 + c**3*z**2 - 2*c**3 - 2*c**2*z**3 + 1670*c**2*z**2 + 2 wrt c.\nAnswer: -3360*z**3 + 6*z**2 - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 215735 divided by 9.\nAnswer: 215735\/9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17*u + 14 = 10*u for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) be the second derivative of -f**3\/6 - 2*f**2 - 2*f. Let w be n(-9). Solve 0 = w*c - 1 - 4 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 411, 414, 419, 426, 435, 446, 459?\n\"Answer: g**2 + 410","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -120719 or -759?\nAnswer: -120719","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 2400\/2*(-110)\/(-4). What is t rounded to the nearest ten thousand?\nAnswer: 30000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15*w = -35 - 10 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = n**2. Let s(a) be the third derivative of 0*a**4 - 12*a**2 + 0*a**3 + 0 + 1\/10*a**5 + 0*a. Give s(g(q)).\nAnswer: 6*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 30.2 and 102.6098?\nAnswer: 3098.81596","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2\/4)\/((-24)\/16).\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - x - 2)*(4*x + 3*x - 5*x) - x**2 + 6*x**2 - 54*x**2 + 3*x**2 + 92 - 92 - 9*x**2.\nAnswer: -57*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {i: 2, r: 1}. What is prob of sequence iri?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 834092280?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -5.4 - -0.0514\nAnswer: -5.3486","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 480, 953, 1742, 2847?\nAnswer: 4268","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 319595018.\nAnswer: 2, 47, 97, 35051","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*a = -12*a + 522. Does 29 divide a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = b**2 + 104*b + 2562. Give z(-42).\nAnswer: -42","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:17 PM and 5:02 AM?\nAnswer: 585","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-6)\/((-168)\/35))\/((-20)\/(-24))*(-256)\/896?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 2\/(-2) - 104\/(-1). Suppose -4*y - 32 = 0, 6735 = -367*c + 186*c + 186*c - 5*y. Calculate the greatest common factor of c and m.\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -29856 - -35948.4. What is g rounded to the nearest 100?\nAnswer: 6100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) be the first derivative of u**4\/10 + 28*u**3\/5 - 87*u**2\/5 + 88*u\/5 + 1496. Let s(c) = 0. What is c?\nAnswer: -44, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -1, 0, 53, 1, -153, 9 in descending order.\nAnswer: 53, 9, 1, 0, -1, -4, -153","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1413 - 1408. Let h = -54 + 106. Which is the third biggest value? (a) h (b) d (c) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((n\/n**(-1\/2)*n)\/n)**(1\/9)\/(n**(-2\/3)\/n*n*n)**48)**(-40) assuming n is positive.\nAnswer: n**(1900\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -532149546*f + 218327123 wrt f.\nAnswer: -532149546","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 24 + -28. Let r be ((-576)\/56)\/(m\/14). Calculate the highest common factor of 9 and r.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*f + 12*f = -21. Suppose -37 + f = -5*x. Let i(j) = 7*j - 1. Let s(w) = w. Give x*s(q) - i(q).\nAnswer: -q + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w - w = 105. Suppose 6*u = u + w. What is the tens digit of u?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in seventy-four fifths of a litre?\nAnswer: 14800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 18*f + 109 - 955. Let y(i) = 2*i**2 - 91*i - 131. What is the smallest common multiple of 190 and y(f)?\nAnswer: 190","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 divided by 2920039?\nAnswer: -1\/2920039","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -271005, -271013, -271021?\nAnswer: -271029","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 87 and 232.\nAnswer: 696","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*v + 37*v = 55 + 113 for v.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 154420 + 1343001?\nAnswer: 1541421","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(sqrt(5) + 4) + -3 + -5*sqrt(5).\nAnswer: -4*sqrt(5) + 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 159972846?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i = -2*x + 22 - 1, 3*x - 12 = i. Suppose 1 - 5 = -2*n. What is the least common multiple of n and (2\/x)\/(1\/15)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -717 times 0.84?\nAnswer: -602.28","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*l + 24 = 4*n - 2*l, 0 = 2*n + 3*l - 13. What is the third derivative of 3*t + 3*t**n + 0*t**2 - 3*t - 2*t**2 wrt t?\nAnswer: 180*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -391, -781, -1171, -1561, -1951, -2341?\nAnswer: -2731","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -58 - -59. Let s(c) = -c**3 + 4*c**2 + 5*c + 3. Let q be s(5). Sort 0, g, q, -1 in increasing order.\nAnswer: -1, 0, g, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 + -5 - ((9 - 12) + 3).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 10 (base 7) to base 5\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 162*f = 30*f - 51*f + 4758 for f.\nAnswer: 26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*i + 2*p + 36 = 0, -32 - 169 = -5*i + 18*p for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = l**3 - 17*l**2 + 15*l + 173. Give h(17).\nAnswer: 428","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = 45*d**3 + 3*d**2 - 8*d + 6. Calculate the least common multiple of l(1) and 55.\nAnswer: 2530","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = -2*j**2 + 7*j - 3 + 4 - 9 - 5. Let k(m) = -3*m + m**2 + 0*m**2 + 9 - 3. Let c(r) = -7*k(r) - 3*x(r). Differentiate c(l) with respect to l.\nAnswer: -2*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 - 24 = 2*i. What is the tens digit of 4 - (2*i - 1)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = 15*z - 1. What is c(1)?\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-27)\/(-6))\/((-12)\/304). Let x = 118 + m. Is x bigger than 36\/7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 25 - 22. Let d be (40\/6 - -4)*b. Suppose d = -34*n + 35*n. Does 16 divide n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -31 - 3224?\nAnswer: -3255","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*d + 4*p - 284, -4*d + p = 6*p - 229. Calculate the greatest common divisor of 42 and d.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 6, 2, -5, -3, -0.5?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = o - 1. Let q be n(-3). Let f be 0 + -1*q\/10. Let g = -0.351 - -0.051. What is the second biggest value in 1, f, g?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (934\/4)\/((-2)\/(-12)) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*y - 4*m - 19, 0 = 5*y - 2*m - 7 + 20. Which is the second smallest value? (a) y (b) 0.5 (c) -4\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -3617*d**2 + 6*d + 299?\nAnswer: -7234","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 8379 and 171.\nAnswer: 171","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 76 is divided by 33?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = -p**3 + 7*p**2 + 9*p + 4. Suppose -2*o - 32 = -10*o. Suppose -6*w + 2*w - 104 = -o*b, 5*w + 2*b = -116. Let x = -16 - w. Give h(x).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -2*(-2 + (-11)\/2). Let o = -5 - -8. Suppose 2*a + 36 = o*k, 4*k = 3*k - a + 7. What is the greatest common factor of k and f?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = f**3 - 26*f**2 + 18*f + 34. Calculate l(25).\nAnswer: -141","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -4.27 - -4.25. What is the smallest value in j, 4, -29?\nAnswer: -29","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of t**4 - t**3 - 10009*t**2 - 26506*t + 1 wrt t.\nAnswer: 12*t**2 - 6*t - 20018","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) be the third derivative of g**5\/30 + g**2. Suppose -5*v - x + 0*x = -23, -4*v + x = -13. Let w(s) = v*s + 0*s - 6*s. What is w(t(y))?\nAnswer: -4*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -22, -29, -44, -73, -122, -197, -304, -449?\n\"Answer: -d**3 + 2*d**2 - 6*d - 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2)\/(-4)*(4 - 2).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1371 is divided by 4?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:20 AM and 10:08 AM?\nAnswer: 588","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 585 minutes after 9:22 PM?\nAnswer: 7:07 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (36*x**2 - 10*x**2 + 6*x**2)*(-3*x + 3*x - 2*x**2) + 3*x**4 - 3*x**2 + 3*x**2 to the form f*x + s*x**2 + y*x**3 + j*x**4 + b and give s.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round 28280 to the nearest 1000.\nAnswer: 28000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from lza. Give prob of sequence zl.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 - ((-5 - 3) + 13).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 49 + (640 - 648 - (38 + -2))?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -120, -4, -1, -5, 5.\nAnswer: -120, -5, -4, -1, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 181191 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 153 and 6.\nAnswer: 306","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = 49*x**2 + 16*x - 96. Let o be t(7). Suppose 3006 + o = 11*y. List the prime factors of y.\nAnswer: 17, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*p**2 - 258711 - 72*p**3 + 258711 as g*p + v*p**3 + d*p**2 + f and give v.\nAnswer: -72","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = -x**3 - 5*x**2 + 3*x - 3. Determine t(3).\nAnswer: -66","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 a and 2 x when four letters picked without replacement from {f: 7, o: 2, x: 5, a: 4}?\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Add together 830182 and 75.\nAnswer: 830257","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3110?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-29350)\/(-14673) + -2)*(13 - (-1675)\/(-130)). Which is smaller: x or 1?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) be the second derivative of 2\/3*j**3 + 4*j + 0 + 5\/12*j**4 - 1\/20*j**5 + 5\/2*j**2. Let d(l) = l. Let u be d(6). Give h(u).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14 - 2 = -4*n. Let v be n*((-12)\/(-16) + 3). Let b be (-14 - 14)*(-2)\/4. Which is smaller: v or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5\/3*4912\/(-233320)?\nAnswer: -2\/57","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = -116 + 41 + 31 + 3*j**3 + 43 - 2*j**3. Let v(r) = r**3 - 4*r**2 + 6. What is -v(w) - 6*y(w)?\nAnswer: -7*w**3 + 4*w**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(3 + ((-1 + (sqrt(117) + sqrt(117) + 1 + sqrt(117))*3)*5)**2).\nAnswer: 8100*sqrt(13) + 711084","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 580.5024 days to hours.\nAnswer: 13932.0576","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 95689?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*o = z - 9, 0 = 260*o - 258*o - z - 6 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 162650306 and 49?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 t and 2 i when three letters picked without replacement from {b: 3, t: 1, n: 2, i: 2, x: 5, u: 7}?\nAnswer: 1\/1140","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-4*(sqrt(99) - (sqrt(99) + (sqrt(99) - -2*sqrt(99)*-3))))\/((sqrt(324) - -1*sqrt(324)*-3) + sqrt(324)))**2.\nAnswer: 1100\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 1, f: 4, k: 1, u: 2, n: 1, t: 6}. What is prob of picking 2 u?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d + l - 3*l = 17, -3*d + 4*l + 37 = 0. Suppose 3*m = -3*i - 12, 0 = -m - 1 - 1. Sort i, 69, d, 0 in descending order.\nAnswer: 69, d, 0, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-98)\/(-3))\/(-7) + 6 + 0. Let s(a) be the second derivative of 0 + 9\/2*a**2 + 1\/12*a**4 + b*a**3 - a. Determine s(-6).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 503 a factor of 12816440?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -952 + 954. Let 10\/3*w**3 + 2\/3*w**4 + 4\/3 + 14\/3*w + 6*w**s = 0. What is w?\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:20 AM and 8:09 AM?\nAnswer: 49","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((39 - 4) + -16 - 10) + -14.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of (1203\/802)\/(1 - (-3809)\/(-3812))?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 27 and 12?\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x + 5*i + 10 = -4*x, -3*x - 1 = -2*i. Suppose -2*t + 4 = 2*t. Let m be 13 + ((-3)\/t - x). Calculate the highest common factor of 44 and m.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 261?\nAnswer: 3, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w = 4 - 0. Let h = 2 - w. Suppose -a + 61 = 5*y - 2, 0 = h*y - 3*a - 58. Is y prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -228.4 - 24.6. Let k = 253.00000262 + j. Round k to six dps.\nAnswer: 0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = w**2 - 7*w. Let s be k(7). Which is smaller: s or 2\/43?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine c, given that c**2 + 59*c - 186 = 0.\nAnswer: -62, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u + 3*s + 6 - 15 = 0, -u = 4*s - 11. Factor 6*r + 3*r**2 + u*r**2 + 2 - 182*r**3 + 184*r**3.\nAnswer: 2*(r + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00000707 to seven decimal places.\nAnswer: -0.0000071","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(1\/8)*f**(-4\/3))**(-1\/4)\/(f**(-6)\/f**0*(f**2*f)**(-49)) assuming f is positive.\nAnswer: f**(14717\/96)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -13.903774 * -2\nAnswer: 27.807548","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 5968 to the power of 1\/7, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1167532186?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = -3*i + 1. Let m be d(-1). Let w be (m\/14)\/((-3)\/(-28)). Determine u so that w*u - 1\/3 - 5*u**2 = 0.\nAnswer: 1\/5, 1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = 3*t**2 + 34036*t + 238092. Determine l(-7).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x - 336 = -x + 5*p, 0 = 2*x + 2*p - 150. Let i(y) = 4*y - 16. Let d be i(14). Let k = x - d. Is k a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*q + 2*q. Let a be 1 + ((-10)\/4 - q). Let x(i) = -i**3 + 5*i**2 + i - 4. Let t be x(5). Is t at least a?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2 - -28 - (-14 - -50 - 36)\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of ((-1)\/(-12))\/(-9 - (-5800)\/655) and 187\/30.\nAnswer: 1140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:35 AM and 2:13 PM?\nAnswer: 458","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) be the first derivative of 85*a**2\/2 - 6*a - 3. Let x(b) = 3*b. Let h be x(1). Is i(h) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -31 >= -817\/27?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 569958 is divided by 196?\nAnswer: 186","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of -208*(-5 - 0)\/5.\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 84 divided by -3.\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = s**2 + 14*s + 41. Let n be d(-9). Let k be (n\/(-10))\/((-32)\/80). Let z = -1.3 - -7.3. What is the closest to k in -5\/2, -1, z?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -4\/5 (b) 3 (c) 72 (d) -68 (e) 0.3 (f) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rrl when three letters picked without replacement from {o: 7, l: 1, r: 2}.\nAnswer: 1\/360","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 321 minutes before 5:00 AM?\nAnswer: 11:39 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty ninths of a hour in seconds?\nAnswer: 8000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -x**2 + 36*x**3 + 5*x + 0*x**2 - 39*x**3 to the form r*x + q + j*x**3 + u*x**2 and give u.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*t + 2*t + 2*t + (-2 - 11 - 15)*(t + t - 3*t) to the form p*t + b and give p.\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1 - 5) + (64 + -80 - -2)?\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-1277)\/302815)\/((-8)\/((-80)\/(-10))). Let l = a + -6\/853. Which is bigger: l or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -10843500 (base 9) to base 14\nAnswer: -9b7a29","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 2 - -140?\nAnswer: 142","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) be the third derivative of w**6\/120 - w**5\/12 - 7*w**4\/24 + 7*w**3\/6 + 2*w**2. Let b be g(6). Let x be (2 - 10\/4)*-2. Is x bigger than b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = 11*g + 11. Suppose 34 = 4*d - l - l, -30 = -4*d - 2*l. Let a(b) be the second derivative of 2*b**3\/3 + 2*b**2 + 3*b - 65. What is d*a(p) - 3*f(p)?\nAnswer: -p - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -1\/9, -0.19, 180, -15, -1\/2?\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 67, 1626, 5885, 14194, 27903?\n\"Answer: 225*v**3 - 16*v - 142","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -48 - -17. Let l = -47 - f. Let o be 10\/l*18\/(-45). What is the third smallest value in -1, o, -2\/5?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-6916)\/156 + 41)*2\/(-6)?\nAnswer: 10\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t**(1\/3)\/t**(5\/2)*(t\/t**(2\/7))**(-3\/23))**(-10\/3))**(3\/10) assuming t is positive.\nAnswer: t**(2183\/966)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 20*a**2 - 19*a**2 - a**3 - 5 + 0*a**3 to u*a**3 + p*a**2 + v + q*a and give u.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) be the first derivative of 3*h**2\/2 - h - 5986. Suppose -2*p - 2*x - x = -4, 0 = -2*p - 5*x + 12. What is v(p)?\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = 2*x**2 - 5*x - 288. Let n be i(-19). Solve -5*w - n = -544 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 w and 2 b when three letters picked without replacement from qwddwidwbb.\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*w + 3*t + 8, 2*w + t + 4 = 3*t. Let p be (-8)\/(w - -2 - 2). Sort p, -7, 1 in increasing order.\nAnswer: -7, 1, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = -3*r - 14. What is g(-4)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = 7*v + 4. Let s(y) = -1. Let w(x) = j(x) + 4*s(x). Let z = -46 - -47. Give w(z).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -37.493167 rounded to one decimal place?\nAnswer: -37.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = -6*c**2 + 514*c - 5. Let g(l) = -5*l**2 + 511*l - 4. What is 5*g(f) - 4*i(f)?\nAnswer: -f**2 + 499*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -120.2 + 150.792. Let t = q + -0.092. Let y = -44 + t. What is y rounded to the nearest integer?\nAnswer: -14","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 129203803 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -21 - 10 - 31 + 4 + 17*b to y + j*b and give j.\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 b and 2 k when four letters picked without replacement from bkkkkkbb?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r = -5*z + 2*r, 4*r = 4*z - 32. Solve -34*k + 33*k = -z for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1197343\/92 + -13015. Calculate the common denominator of q and -3\/8.\nAnswer: 184","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -21 - -28. Let a be g + (4 - 7) - 54. Round a to the nearest ten.\nAnswer: -50","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 524341 + -1?\nAnswer: 524340","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 l when three letters picked without replacement from vll.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -1, 0.3, -106.7, 2\/9?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.393 + -0.093. Let r = 0.1 + 0.1. Sort r, z, 2\/3 in decreasing order.\nAnswer: 2\/3, z, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) be the first derivative of m**4\/4 - m**3\/3 - m**2\/2 - 8*m + 1. Calculate z(0).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 56 minutes before 4:57 AM?\nAnswer: 4:01 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 30198 to the power of 1\/2, to the nearest integer?\nAnswer: 174","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 24\/7 (b) -1\/4 (c) -6 (d) 1\/3 (e) 113 (f) -0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 14805 and 117.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 282, 564, 846, 1128?\nAnswer: 1410","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = -5799*v + 5813*v + 9 - 5 + 10 - 2*v**2 + 1. Give d(8).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 3 + 1. Solve k - 3 = -2*p + 7, 15 = 3*p - r*k for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 45 + (-1 - 0) - 3. Let u = 94 - 137. Let d = u + w. Let f(n) = n**3 + n**2 - 1. Determine f(d).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -a3486 + 40?\nAnswer: -a3446","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -1089.24603 rounded to the nearest 10?\nAnswer: -1090","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 1, v: 2, y: 1}. What is prob of picking 2 v?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify m**(1\/11)*m**13\/m*(m*m**1)\/(m\/(m*m**(2\/11))) assuming m is positive.\nAnswer: m**(157\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = a - 3. Let r be s(7). Suppose -2*n + r*n = 502. Is n composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 317982063.\nAnswer: 3, 7, 1871, 8093","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 482 + -247. Is u a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -85438 divided by -57.\nAnswer: 85438\/57","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 224*r - 4700 = -847 + 2867 for r.\nAnswer: 30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 863 + 4608. Is m a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 7785\/4 - 1946. Suppose 4 = 3*j + 7. Let d be (44\/21 - 2)\/j. Which is the nearest to z? (a) -3 (b) 0.5 (c) d\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_test"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 204314706.\nAnswer: 2, 3, 263, 43159","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9 = -5*m - 6*f, -27 = -2*m - 2*f - 29 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -83 - 11 - 50*p - 42.\nAnswer: -50*p - 136","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -2.9 - -2.5. Suppose 10 = -7*o + 10*o - 4*b, 3 = 2*o + b. What is the closest to -0.3 in o, m, -19?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -1405013 and -1405013 nonequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 662 minutes before 9:48 AM?\nAnswer: 10:46 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 + 2 = 4*j, 3*l = -4*j + 8. Suppose l = -5*u - 5, 2*q + 2*u = -0*u - 68. Let d = 22 - q. Is d a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -4 + 4 + 2 + 0. Suppose -z + 2*k - x = 0, -z + k = 5*k - 10. Calculate the least common multiple of z and 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 86, -5, -3, 5 in increasing order.\nAnswer: -5, -3, 5, 86","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20 = -2*d - 2*d. Suppose -2*r - 4*l = -36, 3*r + d*l - 3*l - 38 = 0. Solve -10*g**3 - r*g + 1 - 12*g**2 + 4*g - 3*g**4 - 2 = 0.\nAnswer: -1, -1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 17\/15934410 and -173\/113010.\nAnswer: 15934410","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o = -3*o + 190. Let g be 4\/5*o\/836. Which is the smallest value? (a) -0.3 (b) 16 (c) -2 (d) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -97c2 (base 13) to base 11.\nAnswer: -14955","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 31, -208, -847, -2084, -4117?\nAnswer: -7144","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from tjnjttjtttbnttbtnt. Give prob of picking 1 b and 1 n.\nAnswer: 2\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.1, 2\/3, -0.2, 3\/2, -2237 in decreasing order.\nAnswer: 3\/2, 2\/3, 0.1, -0.2, -2237","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(3072)*3 + -2 + (sqrt(3072) - -6*(0 + sqrt(3072))) - (-2*sqrt(3072) + 3 + -5*(sqrt(3072) + 1) + -3))**2.\nAnswer: 3264*sqrt(3) + 887817","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -46613, -93053, -139493?\nAnswer: -185933","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*d + 27 = -15. Which is bigger: d or 0.138?\nAnswer: 0.138","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -7\/22220 and -55\/8.\nAnswer: 44440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = -f**3 - f**2 - 8*f - 6. What is t(5)?\nAnswer: -196","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = p**4 - p**3 - p - 1. Let k(r) = 4*r**4 - 3*r**3 + r - 3. Let l = -9 + 15. Let x(i) = l*q(i) - 2*k(i). Find the second derivative of x(s) wrt s.\nAnswer: -24*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = -2*i + 4*i + i**2 + 0 + 1. Let q be a(-2). Let o(s) be the first derivative of 5*s**2\/2 - 9. Give o(q).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/238 bigger than -2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Work out -63177.9 * -901.\nAnswer: 56923287.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -176446610*i*z + 173926947*i with respect to z.\nAnswer: -176446610*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 74, 88, 108, 134?\nAnswer: 166","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 576?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*s - 2*s + s)*(-3 + 3 + 2) + 3*s + 0*s - 2*s - 3*s + 2 + 0 - 2.\nAnswer: 2*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 3 and 7?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 22 and 452?\nAnswer: 4972","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 10 + (-8 - (2 + -11 - (-8 + -12))) - -31.\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 7.947818 rounded to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) be the second derivative of -2*z**6\/15 - 299*z**4\/12 - 2092*z**3\/3 - 1512*z. Find the second derivative of b(g) wrt g.\nAnswer: -48*g**2 - 598","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.3 + -11976338541.\nAnswer: -11976338541.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 36 - 7 - 29 - 115*t**2 - 589*t**3 wrt t.\nAnswer: -3534","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5918*c + 5918*c - 200*c**2)*((4*c - 5*c + 10*c)*(-1 + 5 - 1) + c - 2*c - 5 + 4).\nAnswer: -5200*c**3 + 200*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 3\/11 and 2\/12*464\/(-20).\nAnswer: 165","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1081.08 rounded to zero decimal places?\nAnswer: -1081","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(60)\/(sqrt(20)\/sqrt(5)))\/(1*sqrt(432)) + sqrt(5) + 1 + 0 + sqrt(5) + (sqrt(5) + 1)*5 + 2)**2.\nAnswer: 340*sqrt(5)\/3 + 45341\/144","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*b + 164 + 79. Let w = b - 40. Let y(p) = -20*p**3 + p**2 - p - 1. Calculate the remainder when w is divided by y(-1).\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -101110110110 (base 2) to base 14.\nAnswer: -1142","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 160 (b) -33 (c) -5\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) be the first derivative of -p**7\/42 + p**6\/15 - p**5\/20 - 6*p - 7. Let g(w) be the first derivative of y(w). Factor g(x).\nAnswer: -x**3*(x - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 26\/5 of a litre?\nAnswer: 5200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (5 - (0 + 2))*8\/(-84).\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = -3*i**2 + 5*i + 37 - 123 + 42 + 39. Let x(d) = d**2 - d + 1. Let s be -1*2\/(4\/(-10)). Let h(a) = s*x(a) + b(a). Let n(u) = 8*u**2. Calculate n(h(g)).\nAnswer: 32*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) be the third derivative of -b**6\/360 - b**5\/120 + b**4\/12 - 7*b**2. Let s(q) be the second derivative of m(q). What is the derivative of s(k) wrt k?\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + (sqrt(99) + (sqrt(99) + -2 + sqrt(99) + 3 - sqrt(99)) + (sqrt(99) - (0 + sqrt(99) + 2 + sqrt(99))))**2 + -4 + 0.\nAnswer: -6*sqrt(11) + 92","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in 3, -1\/3, 3\/2, 7.08?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 102675228053 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = -9*t + 176. Determine g(19).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 4667, 4693, 4731, 4787, 4867?\n\"Answer: y**3 + 19*y + 4647","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -0.3, 10.87, 2\/5?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z + a = 4*a + 99, -z = 3*a + 57. What is the common denominator of 8\/z*(-183)\/(-24) and -21\/10?\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.252922 rounded to two decimal places?\nAnswer: -0.25","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 4 (b) 0.3 (c) 1\/151 (d) 14 (e) 0 (f) 0.4 (g) 5\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -3.91 + 3.8. Sort 0, 3\/2, x in decreasing order.\nAnswer: 3\/2, 0, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -196, 8, -27 in ascending order.\nAnswer: -196, -27, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = l**2 - 3*l + 6. Let s be 20\/9 + -2 + 297180\/(-1053). Let r be (-2 - -12)*(-9 + s\/(-30)). Determine d(r).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -19890.3 or 6\/13?\nAnswer: -19890.3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 180?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from rryyurbyeyyuyuk. Give prob of picking 3 y and 1 u.\nAnswer: 4\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = -y**3 - 10*y**2 + 6*y - 9. Let c be p(-10). Let f = c + 91. What is the second derivative of 14*q**5 - 17*q**5 - f*q**5 - 34*q wrt q?\nAnswer: -500*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = 8*s**3 - 4*s**2 + 2*s + 2. Let l(u) = 2*u**3 - 2*u**2 + 1. Determine -2*l(v) + q(v).\nAnswer: 4*v**3 + 2*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 279 - 280.39. Let z = o - 5.61. Let t be (-1)\/(1\/((-8)\/(-60))). What is the nearest to -1 in t, 0, z?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*f + 558*q = 556*q - 44, 4*f = 5*q + 25 for f.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many kilometers are there in 54.21669mm?\nAnswer: 0.00005421669","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (10 - 10 - 6*j)*(0 - j + 0)*(j**3 + 63 - 63).\nAnswer: 6*j**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 7013?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand k**4 + 2*k**5 - 41*k**4 - 20*k**4 + (3*k**2 + 2*k**2 + k**2)*(-k**2 + k**2 - k**3).\nAnswer: -4*k**5 - 60*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert 210.2559 litres to millilitres.\nAnswer: 210255.9","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*c + 5*a + 7 = -8, 3 = c + 2*a for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find o such that 2*o**3\/7 - 22*o**2\/7 - 24*o\/7 = 0.\nAnswer: -1, 0, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 131\/5723256 and 137\/84?\nAnswer: 5723256","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 7897452 and 28.\nAnswer: 55282164","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = -5*h + 14. Determine k(2).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does 47 divide 329?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -6629 + 47210. Does 167 divide d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = 3*t**2 - 4*t + 5. What is c(5)?\nAnswer: 60","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = -4*u**3 + 10*u**2 - 2*u + 3. Let z(q) = -3*q**3 + 9*q**2 - q + 2. Let k(s) = -4*f(s) + 5*z(s). Determine k(-4).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -148000000 to the nearest 1000000.\nAnswer: -148000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -15340*-5.\nAnswer: 76700","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2135 (base 6) to base 2.\nAnswer: -111101011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-r + 0*r + 0*r)*(0*r**2 + 5*r**2 - 3*r**2) + 26*r**2 + 7*r**3 - 26*r**2 - 26*r - 14*r**3 + 26*r.\nAnswer: -9*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express (-5 + 3 - 4)*(-1 - 3 + 6)*(-1164*a + 5264*a + 812*a - 12 + 12) in the form m*a + v and give m.\nAnswer: -58944","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 300863586?\nAnswer: 2, 3, 17, 2949643","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = -11*n - 8. Let r(l) = 12*l + 9. Let z(b) = 9*m(b) + 8*r(b). Let v(g) = -7809*g. Let o(a) = 110*a. Let h(t) = -285*o(t) - 4*v(t). Determine z(h(p)).\nAnswer: 342*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 29, 81, 149, 233, 333, 449, 581?\n\"Answer: 8*r**2 + 28*r - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 304 - 297. Let a = -7.377 + -0.023. Let o = a + s. What is the third smallest value in -3, -2\/9, o?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -308 - -526. Let g = u - 214. Solve -d - 17 = g*s, -7*d - 28 = s - 2*d for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (8 - 7 + 1)*(-3*s + 5*s - s)*(6 - 2 - 2).\nAnswer: 4*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -61*r**3 + 2*r - 2*r.\nAnswer: -61*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1792795?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) be the first derivative of -1 + 1\/2*a**6 + 5\/2*a**2 + 0*a**5 + 0*a + 0*a**4 + 0*a**3. Find the second derivative of t(s) wrt s.\nAnswer: 60*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r - 48 = -4*r. Suppose -3*j + r = j. Factor -13*c**j - 23*c**2 + 24*c + 40*c**3 - 22*c**3 - 3*c**4.\nAnswer: -3*c*(c - 2)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 295000*l*m**3 - l*m**2 + 4*l*m - 4*l - 12*m**3 - 2465*m - 2 wrt m.\nAnswer: 1770000*l*m - 2*l - 72*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 106, 214, 310, 388, 442?\n\"Answer: -w**3 + 115*w - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -20145.358 - -20138. What is n rounded to 0 decimal places?\nAnswer: -7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-120)\/100)\/((-70)\/(-25))?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 266 minutes before 3:17 AM?\nAnswer: 10:51 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 190 = -2634*d + 2653*d for d.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 53119? (a) -6\/5 (b) 0.1 (c) 1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 86608 and 40?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -38c5b (base 13) in base 2?\nAnswer: -11001101110010011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 2161 to the power of 1\/4, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -9*l**2*q + 11121*l**2 - 549979*l*q + 42*l wrt q.\nAnswer: -9*l**2 - 549979*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 2 (b) -0.1 (c) 1\/2 (d) -1 (e) -37 (f) 2\/15\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {k: 2, v: 2}. What is prob of picking 2 k and 1 v?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express 10*u**3 - 5*u**3 + 4*u - 4*u**3 - u - 5*u + 29*u**2 in the form z*u**3 + c*u + r*u**2 + y and give c.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.3 in 4.9, 340, -479, 5?\nAnswer: 4.9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 171 is divided by 16?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is (5 - 186\/42)\/((-12)\/168) - (-80)\/25?\nAnswer: -24\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rwj when three letters picked without replacement from jglrlwgj.\nAnswer: 1\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -62 - -76. What is the lowest common multiple of 2 and x?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1148 a factor of 223660248?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -2 (b) -5 (c) 0.151\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r - 1 = -5*f + 11, 2*f = r + 4. Put 0, r, -3 in increasing order.\nAnswer: -3, 0, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3740478 a multiple of 29?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 246 divide 48708?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) be the second derivative of -2939*l**4\/12 + l**3\/6 + 1311*l**2\/2 + 1226*l + 1. What is the second derivative of g(h) wrt h?\nAnswer: -5878","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = -3*y**3 - y**2. Suppose 4*p + 13 = z, -4*z - 1 = 5*p - 11. Let m(o) = 2*o**2 + o - 3*o**2 + 6*o**2 + 13*o**3. Give p*m(a) - 9*f(a).\nAnswer: a**3 - a**2 - 2*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 1942469 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-4)\/12*3 - -1. Let c be (a - (-3 - 1)) + -2. What is the common denominator of -7\/2 and 17\/(-16) - (1 - c)?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (894\/10 + 3)\/(34\/1105). Round j to the nearest one thousand.\nAnswer: 3000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 2 - 0. Suppose y - j*y - 4 = 0. Let r be y\/8*(-9 + 1). Solve r*m + 0*m - 12 = 0 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -31\/39 + 1\/3. What is the third biggest value in 4, o, 15?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 4108028?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is -202202 >= -202203?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express -11 - 9*b**2 + 112*b**2 - 357*b**2 - 10 + b - 322*b**2 in the form m + i*b**2 + f*b and give i.\nAnswer: -576","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4991642?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 64\/15 and 13\/45?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = 3 + 35*g - 26*g - 3 - 16*g - 5*g**2 + 7. Let u be m(1). Is u <= -2\/83?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2697671.\nAnswer: 457, 5903","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 32753503\/18 + -1822611. Let l = f - -2977. Find the common denominator of l and 178\/108*(1 - 4).\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-4286)\/4*(11 - 13). Suppose 19*g - a = -737. Does 4 divide g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 15829 (base 14) in base 16?\nAnswer: d1ed","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 j, 1 l, and 1 b when three letters picked without replacement from {t: 1, x: 1, j: 1, b: 2, r: 2, l: 2}.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 150*i + 15*i + 1561 - 76 = 0 for i.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 150\/43 - 2636\/731. Which is the fourth smallest value? (a) 24 (b) -3 (c) q (d) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 206356 to the power of 1\/8, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -215071609 or -215071606?\nAnswer: -215071606","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {z: 11, h: 2}. Give prob of sequence hhzz.\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l = -70 + 58. Solve -7 = -2*p - 3*o, 3*p + l*o = -0*o + 9 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**1)**(-1\/45)*r**2\/r**(-5) assuming r is positive.\nAnswer: r**(314\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(sqrt(245)*-1 + 2 + sqrt(245)) - ((sqrt(245) - (sqrt(245) + 2)) + -2)**2*2.\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 651 = 103*k + 114*k. Solve h - 2*f = -3, -12 = -k*h + 4*h - 5*f for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 16712?\nAnswer: 2, 2089","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 11340 and 909?\nAnswer: 1145340","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express -208*b + b**2 + 43*b + 55*b + 35*b + 39*b - 12 as v*b**2 + o + r*b and give o.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_test"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = o**3 + 19*o**2 - 13*o + 12. Let b(p) = -p**3 - 18*p**2 + 12*p - 12. Let k(m) = -6*b(m) - 5*f(m). Is k(-13) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 1213, 1387, 1741, 2365, 3349, 4783, 6757?\n\"Answer: 15*b**3 + 69*b + 1129","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = -2*w**2 - 38*w + 40. Let p be x(-20). Solve -4*c + 2 = i - 0*i, p = -c for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = -4*v**2 - 3*v - 3. Let l(k) = -5*k**2 - k + 1. Let j(z) = -2*z**2 + 1. Let t(q) = -2*j(q) + l(q). Calculate -f(d) + 3*t(d).\nAnswer: d**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s + 7*w - 6*w - 27 = 0, 8 = 4*w. Solve 2*c + 22 = 4*i, -s*i + 3*c + 29 = -0*c for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from bqzfzzzzbzhff. What is prob of picking 1 q and 1 f?\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 333 and 666.\nAnswer: 666","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*b - 3*a = 2*a, 4*b - 3*a = 7 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-305 + 285)*(-2)\/(-4).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = -d - 4. Let p = -20 + 13. Let v be m(p). Let f = -3.7 + -1.3. Which is the second smallest value? (a) f (b) 0 (c) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + ((sqrt(1100) - (sqrt(1100) + sqrt(1100) + 0 - sqrt(1100) - sqrt(1100))*-5) + (sqrt(1100) + 2)*2)**2 + -5.\nAnswer: 240*sqrt(11) + 9913","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 423*s**5 - 21*s**4 - 18*s**2 - 331 wrt s.\nAnswer: 25380*s**2 - 504*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t + 566 - 2316 = 0. Suppose -t = -11*p + 93. What is the tens digit of p?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6503 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 3800455 and 555?\nAnswer: 185","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 - -0.266370536.\nAnswer: -2.733629464","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -457127\/252 + 12676\/7. Let u = -10\/8469 + 29825\/22584. Calculate the common denominator of i and u.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v + 0*v = -5*h, -6 = -4*h + v. Suppose -4*a = -h - 14. Let d(r) = -2*r**3 + 44*r**2 - 43*r + 11. Let p be d(21). Put p, a, 0 in decreasing order.\nAnswer: a, 0, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = x**3 + 4*x**2 - 5*x - 2. Let k be l(-5). Let j = -877 - -879. Let n(c) = 0*c**2 + c**2 - 1248 - j*c**3 + 4*c**3 + 1248. Give n(k).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 338*j**2*o - 1301*j**2 + o**2 wrt o?\nAnswer: 338*j**2 + 2*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = -140*f - 36. Let q be d(-7). Suppose r + 1168 = 5*u, u = -3*u + 4*r + q. What is the tens digit of u?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 57*m - 16928 = 53*m + 5*u, 3*m - 12707 = u. Calculate the highest common factor of 19 and m.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -12 - -12.0772. Round j to two dps.\nAnswer: 0.08","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6022976?\nAnswer: 2, 94109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4101065934776 - -0.14.\nAnswer: 4101065934776.14","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = 117 - 6*p - 28*p - 24*p + 11 - p. What is the thousands digit of s(-23)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 20 - -17. What is the remainder when 7 + 0 + -5 + g is divided by 10?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 1, s: 5, g: 2, d: 1, f: 2, q: 2}. What is prob of picking 1 s and 1 d?\nAnswer: 5\/78","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 2 - 4)*(z - 21*z - z)*(-4 + 5 - 3).\nAnswer: -84*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 116, 90, 34, -64, -216?\nAnswer: -434","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8*f**3 + 0*f**3 - 9*f**3 + 19*f**3.\nAnswer: 2*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*l + l. Let k = -16 - -23. Let a(b) = -2*b - 11. Let r be a(-7). Solve g - k + r = l for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence aka when three letters picked without replacement from aaaaaaakaaaaaaaaaaaa?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = -9*p + 60. What is b(11)?\nAnswer: -39","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 703 minutes after 1:53 AM?\nAnswer: 1:36 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o + 48 = 4*o. Let y be (108\/24)\/((-18)\/(-48)). Let h = o - y. Solve -3*b + h*c + 27 = 0, -5*c - 39 - 1 = -5*b for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*h - o + 4 + 3, 3*o = -4*h - 11. Let m be -5 + (0 + -2)*(-926)\/4. Does 6 divide 4\/14 - (h - m\/14)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wwz when three letters picked without replacement from {a: 3, c: 1, k: 8, l: 3, w: 2, z: 1}.\nAnswer: 1\/2448","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 5172\/(-65512) + 103\/(-19)\nAnswer: -11\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 9 and -215.\nAnswer: -1935","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*w**4\/3 + 401*w**3\/3 - 36103*w**2\/3 + 33454*w\/3 + 744 = 0. Calculate w.\nAnswer: -62, -1\/16, 1, 36","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 300\/((-6)\/(-2))*-24*(-13)\/780.\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = 4*u - 3 + 4*u**3 - 4*u - 7*u**2 - 2*u. Suppose 0 = -4*z - 10*a + 6*a + 8, 3*z + 2*a - 8 = 0. What is the hundreds digit of n(z)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find r such that 3*r**2 - 721461*r + 1442910 = 0.\nAnswer: 2, 240485","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*g + 0*g - 3*g)*(-1211 + 640 + 2*g + 643)*(-g + 4*g - 2*g).\nAnswer: -2*g**3 - 72*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 19\/57*(-47)\/((-28341)\/108).\nAnswer: 4\/67","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = x**2 - 3*x - 6. Let q be c(5). Let f(y) = -y**2 + 4*y + 5. Let r be f(q). Suppose d + r = 22. What is the tens digit of d?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 2, x: 2, e: 2, a: 1, g: 1}. What is prob of sequence xk?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-56)\/(-26) - 10\/65. Let j be (-4)\/t + 3 + 1. Let a(d) = 40*d - 71*d - d**j + 33*d. Determine a(2).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 117583859?\nAnswer: 41, 83, 109, 317","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 e and 1 j when two letters picked without replacement from {i: 1, y: 1, l: 3, x: 1, j: 2, e: 4}.\nAnswer: 4\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 31\/6 of a week in minutes?\nAnswer: 52080","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 58 - 282 = 8*f. Let p be (4 + f\/8)*56. Calculate the greatest common factor of p and 322.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 475053 is divided by 883.\nAnswer: 882","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1939602?\nAnswer: 2, 3, 7, 46181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does 15 divide 2225?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 140921 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g + 3 = 0, g = -r - 4*r + 414. Suppose 61 = 12*a - r. Calculate the smallest common multiple of a and 22.\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -133*d**3*u**3 - 12095*d**3*u**2 - d**3 - 14*d**2*u**3 - 6250*u**3 - 119 wrt d?\nAnswer: -798*u**3 - 72570*u**2 - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 23 - 319. Let l = g + 3850\/13. Suppose 0 = b - 2*b. Which is greater: l or b?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from mmhgdhmhhmdhdmdmhm. What is prob of sequence mmmh?\nAnswer: 7\/408","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 419 minutes before 3:06 PM?\nAnswer: 8:07 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = -8*z + 2. Let d be k(8). Let f = -44 - d. Does 6 divide f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = 4*r + 13*r - 34 - 4 - r**2. Let f be 550\/3025 - 53\/(-11). What is the remainder when s(f) is divided by 13?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = g**3 + g**2 + 10. Let x = 9 - 7. Suppose -2*k + 1 = l, -3*k - 1 - 1 = -x*l. Let y be a(k). What is the greatest common factor of y and 70?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 80\/7*r + 18\/7*r**3 + 0 + 52*r**2.\nAnswer: 2*r*(r + 20)*(9*r + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + (3 + (-4*sqrt(405) + 0 + sqrt(405) - sqrt(405)))**2 + 4*(((-3 + sqrt(80))**2 - sqrt(5)) + sqrt(5))*-2.\nAnswer: -24*sqrt(5) + 5779","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 547 minutes after 12:21 PM?\nAnswer: 9:28 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 a and 2 q when four letters picked without replacement from ppqaapaapeappqjp.\nAnswer: 1\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.03 + 0.43. Let q = -151 + 1663\/11. Let n = -3.1 + 3. Which is the nearest to n? (a) 1 (b) l (c) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r**4\/3 + 167*r**3\/3 + 56*r**2 = 0. Calculate r.\nAnswer: -1, 0, 168","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 249*i**2*p + 203202*i - 6*p - 4668098 wrt i.\nAnswer: 498*i*p + 203202","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13*z = z - 42 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -4 - -25. Calculate the remainder when 39 is divided by k.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 578 is divided by 83.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 26 (base 7) in base 2?\nAnswer: 10100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:08 PM and 1:03 AM?\nAnswer: 295","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 105811 is divided by 1556.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -1058 - 549*f**2 - 371*f**2 - 299 - 489 wrt f.\nAnswer: -1840*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = 21*v + 189. Let c(m) = -3*m - 26. What is 15*c(k) + 2*u(k)?\nAnswer: -3*k - 12","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(17) + -1 + sqrt(17))*-2 + -1.\nAnswer: -4*sqrt(17) + 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert -10110000110011011101011 (base 2) to base 11.\nAnswer: -32a7832","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 57 and 2769.\nAnswer: 52611","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify h*h**(-1\/5)*(h\/((h**(-9)\/h)\/h)*h)\/h*h*(h\/(((h*h\/(h\/(h*h**(-39))))\/h)\/h))\/h*h**25\/h assuming h is positive.\nAnswer: h**(384\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -5\/21 + -1019\/42. Find the common denominator of m and -32\/11.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.5 take away 15517745.2926?\nAnswer: -15517743.7926","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -2924 + 2943. Solve q + 4*b = -z, -q - 99*b + 103*b = -13 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 + 2 + (-1 - -4).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 1804?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-760)\/(-180) + 1\/((-9)\/2). Solve -l = j - 1 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 586867302?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 264 and 40134336.\nAnswer: 40134336","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 2 and 224?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) be the second derivative of 13 + 1\/20*y**5 + 2*y - 5\/12*y**4 + 0*y**3 + 3\/2*y**2. Suppose -r + 1 = 2*p, -5*p = -r - 2*p + 6. Give q(r).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*q + 12 + 6. Let s(r) = -10*r - 3. Let h be s(-2). Suppose -4*j - j - 10 = -5*i, -4*j + h = i. Calculate the highest common divisor of j and q.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -14 - 13d9?\nAnswer: -140d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 11855\/12924 + -2\/3231. Let r(m) be the second derivative of m + 0*m**2 + 0 + 1\/20*m**5 + 0*m**3 + l*m**4. Find the third derivative of r(u) wrt u.\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 105840 and 25200.\nAnswer: 529200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z = 3063 + 2634. Does 14 divide z\/15 - (-15)\/(-25)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 385 - 381. Suppose -i*k = -61*k + 2508. Is k a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 23 is divided by 60\/8 - 2\/(-4)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z = n - 9, -3*z - 19 = 4*n + 2. Let q = -0.73 - -1.03. Which is the nearest to -0.1? (a) q (b) -0.4 (c) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7519661.\nAnswer: 17, 442333","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = 3*i**2. Let k be 18\/(-8)*24\/9. Let s be (-12)\/(-9) - 4\/k. Let l(g) = 1 + g**s - 1. Give l(o(x)).\nAnswer: 9*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = -82*r**2. Let x(s) = -226*s. What is c(x(b))?\nAnswer: -4188232*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = y**2. Suppose -3*p + 4*p - 7 = v, 18 = 4*p - 2*v. Let c(a) = -4*a**p - 2*a**2 + 5*a**2 + 3*a**2. Calculate b(c(h)).\nAnswer: 4*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1778?\nAnswer: 2, 7, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 266164255 a multiple of 35?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 514712 and 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 512 - 505. Suppose -4*g + 195 - 31 = -5*y, 4*g + 2*y = 192. Let a = g - 14. Calculate the remainder when a is divided by s.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-6)\/9)\/((-6)\/9). Let c be (25\/10)\/(g\/4). What is the highest common factor of 4 and c?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 1, n: 1, i: 6, d: 1}. What is prob of sequence wn?\nAnswer: 1\/72","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 228996 to the nearest integer?\nAnswer: 61","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = -h. Let f(r) = -440*r. Let m(y) = 2*y. Let k(x) = -f(x) + 3*m(x). What is t(k(c))?\nAnswer: -446*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 50 divided by 4644.\nAnswer: 25\/2322","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-10)\/(-3*2\/3). Let q be (1 + 9\/(-15))*p. Suppose -2*h + 3*z = -2*z - 70, 0 = -5*h - q*z + 175. Is h a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r\/(r\/r**2))**(-50))**(-3\/8) assuming r is positive.\nAnswer: r**(75\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*v + 9 = 7*v - m, v + 5*m = -36. Let a(n) = n**2 + n - 1. Let x(r) = 30*r**2 + 3*r - 2. Calculate v*x(b) + 2*a(b).\nAnswer: -28*b**2 - b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = y - 4. Let l be s(6). Let q be (0\/l)\/(1 - 6\/3). Solve 3*m - 6 = -q*m for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(32) + 5*(sqrt(128)\/sqrt(4) - sqrt(32)))*-4)\/((sqrt(32) + sqrt(160)\/sqrt(5))\/sqrt(2)).\nAnswer: -2*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hz when two letters picked without replacement from {h: 1, i: 3, b: 1, w: 1, z: 1}?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: ((-21)\/(-14))\/(1*(-45)\/300)\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 60 (base 15) to base 4\nAnswer: 1122","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pan when three letters picked without replacement from snzsnnanjsjnnnazjnnp.\nAnswer: 1\/380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Add together -60604752.476 and 0.01.\nAnswer: -60604752.466","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = -1224*t**2 + 8*t. Let r be p(-7). Let m = -27032 - r. What is m rounded to the nearest ten thousand?\nAnswer: 30000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-1)\/(-3)*(-4)\/(-6). Let x(c) = c. Let h be x(-7). Let v(s) = s**2 + 6*s - 5. Let o be v(h). Sort o, z, 3\/5.\nAnswer: z, 3\/5, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 2.44893 and 0.3.\nAnswer: 0.734679","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*x + 14 = -f, 172789*x - 14 = 172792*x - 4*f for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -1610, -1, -0.4, 0.5, 24?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-2)\/3 - (-82)\/(-3). Let d = j + 47. Suppose 3*a - d - 17 = 0. Solve 18 = -3*m + 3*r, 0*r = -4*r + a for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 126899310 divided by -21149885\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 159?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -583.4 + 583. Sort -2\/3, 0, v, 2.\nAnswer: -2\/3, v, 0, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 66 and 6402?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-13 - 5\/(-8)) + 12)*-44. What is the second smallest value in 4, m, -1, 5, -2\/7?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -5*r + 5*r + r**4 + 0*r**4 - 2*r**4 + r**4 + 0 - 3*r**4 + 0 + 2*r**3 - 2*r**3 - 2*r**4 + (-r**3 + r**3 + 2*r**3)*(3*r - 2*r - 3*r).\nAnswer: -9*r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 26 - 20. Suppose t*g = 9*g - 354. What is the first derivative of -6 + g*d - 118*d - 19*d**3 wrt d?\nAnswer: -57*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = -b**2 - 6*b + 10. Let z be l(-6). Let h(p) = 2*p**2 + 4*p + 2. Let u be h(-2). Let o be u\/(-5) + 4\/z. Solve o - 3 = -a for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 32977714.\nAnswer: 2, 7, 11, 214141","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (5 - (-4 + -5))*(-6)\/(-21). Solve 5*i - 3*m = 12, 0 = -283*i + 284*i + m + h for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 4*y**4 - 138224*y**3 + 15718992*y**2 - 462925568*y + 864080896 = 0. What is y?\nAnswer: 2, 56, 34442","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -1593 divided by -1\nAnswer: 1593","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 7.8 - 8. Let q = -2 + 2.2. Which is the second smallest value? (a) f (b) -0.05 (c) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = -40*i - 10. Let m = -6356 + 6353. Calculate r(m).\nAnswer: 110","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = -o**3 + 2*o + 2. Let f = 2 + -4. Let b(y) = 16*y + 21 + 122*y**3 - 131*y**3 + 5*y. Calculate f*b(p) + 21*z(p).\nAnswer: -3*p**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 3650\/4745*6\/(-10)*(-4)\/(-6)?\nAnswer: -4\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1994725 and 7300?\nAnswer: 1825","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = i**2 + i + 10. Let w be b(0). Let d be 4\/(-18) + (-30100)\/63. Let s be d\/(-6) - (-4)\/12. What is the highest common divisor of w and s?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-5)\/((-60)\/8) + (-20)\/(-6). Let n(u) = 75*u - 9. Is n(k) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*f - 8*f - 3 = 0 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-24)\/(-14)*(344\/(-40) - -10). Find k such that 0 + 8\/5*k**2 + 4\/5*k - y*k**3 = 0.\nAnswer: -1\/3, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 145\/6 and (-3)\/(-6) + 31\/(-8).\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9603320 is divided by 4801617.\nAnswer: 86","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 344 divided by -67.\nAnswer: -344\/67","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1066 + -1061. Let t = -2.3 + -0.7. Let m = 2.5 + t. Which is the nearest to -1\/2? (a) -3 (b) m (c) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 9863, 0.2, 0.02 in descending order.\nAnswer: 9863, 0.2, 0.02","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 91 minutes after 1:39 AM?\nAnswer: 3:10 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2.59236*-2.\nAnswer: 5.18472","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 11217?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 76672 and 3584.\nAnswer: 128","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 339202?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = -t**3 + t**2 + 3*t. Let v be a(3). Let h = 15 + v. Is h composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*p - 25 = 3*p. Let s = 6.5 + -5. Let g = -4 + 3.5. What is the biggest value in p, g, s?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = q**3 + 4*q**2 - 6*q - 3. Let m be x(-5). Let c be (11 - (2 - -1))\/m. Solve 20 = 5*a - 4*d, -d = 2*a - c*d - 15 for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 195 a factor of 10626031?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o = m - 3*o + 173, 2*o = -3*m - 503. Let w be (-45)\/(-2 + -3) + 6. Let z be (w\/(-45))\/(1\/m). Calculate the highest common divisor of z and 55.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2*c**5 - 14*c**3 + 2*c**2 - 16 wrt c?\nAnswer: 120*c**2 - 84","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 184 in 2\/11, 0.2, -0.16?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q = 4*d + 602, 3*d + 868 = 889. Solve -q + 156 = -5*s for s.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4 = -4*l, 132 - 119 = -4*j + 5*l for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 0.1581956 litres?\nAnswer: 158.1956","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or -28\/97?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = 59*j**2 + 5*j - 7. What is the remainder when 76 is divided by d(1)?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -108 - 192 = 2*j - 3*v, 0 = -4*j - 2*v - 584. Let r = j - -394. What is the units digit of r?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -136+40884067\nAnswer: 40883931","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 49526697*m**3 - 1130*m**2 + 3791 wrt m.\nAnswer: 297160182","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 108 = 23*t + 16. Solve -t*a + k - 3 = -2*a, 5*a - k = -12 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3.916139 tonnes to kilograms.\nAnswer: 3916.139","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 48 and 276?\nAnswer: 1104","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 42.3346 weeks in hours?\nAnswer: 7112.2128","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2017 is divided by 2012.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = -7*x. Let a(u) = -544*u - 240. Give a(y(m)).\nAnswer: 3808*m - 240","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = p**3 + 8*p**2 + 4*p - 2. What is a(-7)?\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -1254 divided by -22\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -3394220 rounded to the nearest one thousand?\nAnswer: -3394000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 3285440*t**2 + 44125925.\nAnswer: 6570880*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = 6*r**2 - 4*r - 503. Calculate q(-14).\nAnswer: 729","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 12084?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is three eighths of a kilometer in centimeters?\nAnswer: 37500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify d**14*d*d*d\/(d\/(d*d\/(d*d**(-18)*d*d))*d) assuming d is positive.\nAnswer: d**32","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5*v**4 - 2*v**4 + 2*v**4 + (v**4 - 4*v**3 + 4*v**3)*(-1 - 2 + 4) to a*v**2 + m*v + n + s*v**3 + t*v**4 and give m.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = -2*o**3 + 2*o**2 + o + 2. Let p be a(2). Let y = p - -5. Is y equal to -2\/9?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 1166*a + 1318*a - 2243*a - 2*a + 3*a + 0*a + (-2*a - 4*a + 7*a)*(-3 + 3 - 2).\nAnswer: 240*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ststtt. What is prob of sequence ttss?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 39303 + -39300. Let g = -3.6 + 0.6. Let p = g + 1. Which is the nearest to 2\/7? (a) o (b) 2\/9 (c) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12261161 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -121*w - 4381*w = 2929*w + 200637 for w.\nAnswer: -27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/7 in 0.4, -1, -631, 10464?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 3651, 3653, 3655?\nAnswer: 3657","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -57729, -115464, -173249, -231108, -289065, -347144, -405369, -463764?\nAnswer: -522353","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 11095925179 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-19)\/((-190)\/64) - 4\/10. Let z be 1\/3 + ((-10)\/r - -1). Which is the nearest to 2? (a) z (b) 2 (c) 3\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(847) - (2 + sqrt(847)) - (-1 + sqrt(112)))*-4 + 4 + sqrt(847) + sqrt(7) + (1*sqrt(63))**2 + sqrt(7).\nAnswer: 71 + 29*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 at least as big as 2\/104464781?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = 2*a**2 - 9*a - 2. Let t(y) = 46*y - 1282. Let z be t(28). Determine v(z).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 166 + -665\/4. Let y = 0 - 1. Which is the nearest to r? (a) y (b) -3 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*k = -23*k. Suppose k = -14*g - 50 - 20. Let v(f) = -f**2 - 3*f - 3. What is v(g)?\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -4*f**4 + 55727*f**2*r - 31*f*r - 1930*f + r + 1 wrt f.\nAnswer: -48*f**2 + 111454*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/2? (a) 0 (b) -5\/6 (c) -4\/227 (d) 2\/11 (e) -0.5951\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find o, given that -9\/5*o**4 - 11\/5*o**3 - 2\/5*o**5 + 0*o**2 + 4\/5*o + 0 = 0.\nAnswer: -2, -1, 0, 1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = -12*w**2 - 15*w - 15. Calculate o(-6).\nAnswer: -357","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-4)\/(-1) - (-2)\/(-1). Suppose -n + 12 = -3*y - s*y, -2*n = -5*y - 14. What is the units digit of n?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = -4*q + 13. Let r(a) be the first derivative of a**3\/6 - 3*a**2\/2 + 22*a + 25. Let c(t) be the first derivative of r(t). Determine -9*c(m) - 2*n(m).\nAnswer: -m + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -0.1 (b) -1.5 (c) 1246 (d) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (154\/165)\/(60634\/1830).\nAnswer: 2\/71","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-9)\/6)\/((0 - -2) + 4). Let x = 52 - 49. Which is smaller: x or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 5 - 1. Suppose -48 = -i*u - 4*t, 91 = 5*u + 4*t + 28. Is u a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = -l**2 - 1. Let f be 35\/(-15)*1 - (-8)\/6. Let m(n) = 2*n**3 - 4*n**2 - n + 4. Give f*m(w) + 4*y(w).\nAnswer: -2*w**3 + w - 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*g**3 + 513*g**2 - 16893*g + 16383.\nAnswer: -3*(g - 127)*(g - 43)*(g - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 8165?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i - y = 5841, -i + 2*y = -0*i - 1161. Is i prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 423150 is divided by 49?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y - 2*y + 33 = -3*l, y = 3. Let v = 37 + -47. Let h = -17 - v. Which is smaller: h or l?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 207 minutes before 2:05 AM?\nAnswer: 10:38 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -225342, -453083, -680824, -908565, -1136306, -1364047?\nAnswer: -1591788","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 5206502 - 260?\nAnswer: 5206212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 2420037 and 63.\nAnswer: 16940259","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -153 + 769\/5. Let -1\/5*c**2 + t*c - 4\/5 = 0. What is c?\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) be the second derivative of -4*f**3\/3 - 5*f**2\/2 + 7*f. Let n(u) = 2*u + 1. Calculate -9*n(p) - 2*r(p).\nAnswer: -2*p + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o + 20 = 0, 0 = -3*m + o - 0*o + 11. What is the second derivative of -g + 3*g**5 - g**4 + g**4 + g**4 - m wrt g?\nAnswer: 60*g**3 + 12*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = -y**2 - y + 11. Let m be h(-4). Let b be (m - (-39)\/33) + 53\/11. Solve -2*d = 5*x - 0*d + 4, -3*d + b = 2*x for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 2824, 3877, 4930, 5983?\n\"Answer: 1053*g + 1771","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t = 2*s + 8, 3*s - 11 + 7 = -t. Let h(j) = -j**2 - j. Let w be h(-1). Determine f, given that 2\/5*f**t + 4\/5*f**3 + 2\/5*f**2 + w*f + 0 = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from hhhhcwhbhbdbhbbbbhch. Give prob of sequence dwcb.\nAnswer: 7\/58140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -175493 (base 10) to base 6\nAnswer: -3432245","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = f**3 - 5*f**2 + 2*f - 5. Suppose -3*v = 20 + 10. Let b = v - -15. Give l(b).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -57 - -59. Solve -6 = f + 2*c, -6*c = -v*c + 16 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from xxnwxunxwxwxnnnxn. Give prob of sequence nxnu.\nAnswer: 1\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 490304 and 12.\nAnswer: 1470912","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/3 in -1\/6, -2, -5?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*j**2\/23 + 55987914*j\/23 - 111975836\/23.\nAnswer: 2*(j - 2)*(j + 27993959)\/23","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = o**2 - 23*o + 7*o + 8*o + 12. Let r be (28\/3)\/((-2)\/12*-8). Determine k(r).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -r - 4*d = -7, -4*r - 2*d - 301 = -357 for r.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 898, 1182, 1902, 3280, 5538, 8898?\n\"Answer: 37*k**3 - 4*k**2 + 37*k + 828","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) be the third derivative of -k**4\/24 + k**3\/3 - 96171*k**2 - k. Let z(b) = 2. Let o(f) = -1. Let c(d) = -4*o(d) - 3*z(d). Calculate -4*c(p) - 5*n(p).\nAnswer: 5*p - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.566051, -1\/3, -0.3, -0.5, 4 in descending order.\nAnswer: 4, -0.3, -1\/3, -0.5, -0.566051","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*x - 46 - 26 = 0. List the prime factors of 4671\/x + -3 + 22\/8.\nAnswer: 389","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 3664 - 3663.9. What is the smallest value in -2\/367, -2, -4, a?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = -4*h + 3*h - 4*v, 0 = -3*v + 6. What is the units digit of (-3 + h)\/(2\/(-2))?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m + 15 = 0, -19 = x - 6*m + 2*m. Put 6, -3, x in increasing order.\nAnswer: -3, x, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l + 2 = -5*n + 16, -2*n - 56 = -4*l. What is the remainder when 488 is divided by l?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*h + 3*p - 46, 0*h = h + 2*h - 11*p + 17 for h.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 13, 361\/6, 2\/13, -5, -2\/5?\nAnswer: 361\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5\/4*9396\/3915*21\/(-1).\nAnswer: -63","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -748.6642067 rounded to the nearest integer?\nAnswer: -749","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 861 is divided by 142?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -106 + 1485\/14. Let r = 17\/42 - s. What is the second smallest value in r, -4, -0.7?\nAnswer: -0.7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 74 - 59. What is the units digit of m?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 347 is divided by 299?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 121 minutes before 12:59 AM?\nAnswer: 10:58 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6 = -15*x + 12*x for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -64 - 86 + 214 + 32*w**3 - 64.\nAnswer: 32*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 824 is divided by 46.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 625098134.\nAnswer: 2, 331, 944257","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (7576\/623126)\/(8\/(-84)).\nAnswer: -6\/47","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2822095*n - 2822167*n + 5644262*n - 2*n**2.\nAnswer: -2*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 730?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2*d**2 - 5227 + 20986*d - 13318*d**4 - 20986*d - 2*d**2 with respect to d.\nAnswer: -53272*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = 2*u + 13. Let z be f(-10). Let j be 60\/(-9) + 0\/(-1). Let v = z - j. Are v and -3 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 186674 is divided by 65?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 515, 1490, 3117, 5396?\n\"Answer: 326*x**2 - 3*x + 192","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 13.5196055 rounded to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is -2\/751084697 smaller than 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*m - 495 = -2*m. Calculate the smallest common multiple of m and 40.\nAnswer: 360","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-9)\/(-36))\/(-10 - (-1570)\/160). What is the third smallest value in 0.1, 10, m, -0.051?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j - 5*j = -78. Suppose 2*l + 2*g - j = 46, -4*l = 2*g - 146. Let v = 11 + 2. Calculate the remainder when l is divided by v.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2956*x = 1620*x - 980*x - 3596 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(133) - -2*sqrt(133)*-1 - sqrt(133))\/sqrt(7))**2.\nAnswer: 76","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 3 (base 6) to base 9\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 484?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round -9451544.32 to the nearest 100000.\nAnswer: -9500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 88\/7854*(-1533)\/146?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -54885 + 6147039\/112. Let d = 87\/16 + p. Solve 18\/7 - 1\/7*y**2 + 3\/7*y**4 - d*y + 13\/7*y**3 = 0.\nAnswer: -3, 2\/3, 1","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 rtrtsstttrrttr.\nAnswer: 5\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express (-149*m - 105*m - 6*m)*(2 + 1 - 5)*(6*m + 0*m - 4*m) in the form n*m + y*m**2 + f and give y.\nAnswer: 1040","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = -41*w**2 - 12938*w + 25872. What is d(2)?\nAnswer: -168","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (13 - 13 - 6*x)*(-2*x**2 + 0*x**2 + x**2) + 0*x**3 + x**3 - 2*x**3 + 10 + 0*x - 2*x**3 + 2 - 8*x - 3*x.\nAnswer: 3*x**3 - 11*x + 12","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4017*i + 4038*i = 147. Solve 4*a = -5*q + i, -7*q + 12*q - 19 = 2*a for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 - 2\/3*y**3 + 8\/3*y**4 - 1\/3*y**5 + 25*y - 80\/3*y**2 = 0.\nAnswer: -3, 0, 1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 7445?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = 7*d**2 + 739*d - 2608. Calculate z(-109).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*u = -11*u - 24. Let h(o) = o**3 - 5*o**2 + 5*o + 1. Let g be h(u). Suppose -x - g*x = -102. What is the lowest common multiple of x and 8?\nAnswer: 136","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*n**4 + 2248*n**3 - 41628*n**2 + 76496*n - 37120 = 0 for n.\nAnswer: -580, 1, 16","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = -459*i. Let d(b) = 2*b**2. Give d(r(y)).\nAnswer: 421362*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:24 PM and 3:05 PM?\nAnswer: 41","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = -u**2 + 12*u - 25. Let k be 16\/6*(5 - (-16)\/(-8)). Let f be r(k). Let z = 47 - f. List the prime factors of z.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = 1311*w - 30020. What is l(23)?\nAnswer: 133","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20*k + 15*k = -15. Which is the third biggest value? (a) k (b) -2\/7 (c) -2\/3 (d) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -1 + 1 + i**2 + (-3 + 2*i + 3)*(i - 2*i + 0*i) + 2 - i**2 - 2 + 5*i**2 - 251 + 6*i + 251 in the form t + x*i + n*i**2 and give n.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 2575419 divided by 2575419?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = -v - 3. Suppose -4*p - 2 = v. Let z = 13 + p. What is the tens digit of z?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = h**2 - 11*h + 3. Give b(10).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(68) + -3*-1*sqrt(68))*2*2)\/((sqrt(512)*5)\/(sqrt(48)\/sqrt(96))))**2*3.\nAnswer: 51\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 84\/13 - 693\/65. Is m at most as big as -4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 643\/((-13)\/(-312)*12) is divided by 86.\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -471 - -600. Suppose -t*n = -133*n + 16. Which is the second biggest value? (a) 1.7 (b) n (c) -4\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 179 - 74. What is the units digit of x?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -387*a**3*t - a**3 + a**2*t + 1288*a*t wrt a?\nAnswer: -2322*t - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = -18*a**3 + 1093*a + 17. Let p(d) = 7*d**3 - 547*d - 7. What is 2*k(o) + 5*p(o)?\nAnswer: -o**3 - 549*o - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 352782019?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = -g**2 + 31*g - 122. What is m(22)?\nAnswer: 76","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -33\/35 and (0 - -6)*(-3)\/(-40).\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = f**2 + 8*f - 68. Calculate the remainder when a(-16) is divided by 16.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -0.1 and 7391112821?\nAnswer: 7391112821.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 691?\nAnswer: 691","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = g - 2. Let f be k(-8). Let b = -1132190\/111501 + 2\/8577. Is f not equal to b?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*z - 36*x + x + 43, -5*x = -3*z + 7 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = t**3 - 3*t**2 + 6*t - 4. Let i be p(4). Let q be (-1188)\/(-60) - (-3)\/15. Solve -s + q = 4*d, -s - i = -6*s - 4*d for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1140447 = -130*z + 628245 - 174502. What are the prime factors of z?\nAnswer: 12263","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -0.4, 281, 2, -1, -3.2, -17\/3, -3?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = -2*b - 6. Suppose -2*a = -5*x + 2*a - 41, 0 = -x + 3*a - 17. Let n be o(x). Suppose n*l = l. Let g(f) = -f - 6. Calculate g(l).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 20 + -52 - (-10 + -47 - 44)?\nAnswer: 69","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (0 - 1)*-5 - -2. Let s(j) = -2*j**2 + 23*j + 20. Let i = -135 + 146. Let o(w) = w**2 - 12*w - 10. Let g(q) = i*o(q) + 6*s(q). What is g(a)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 82.21118 litres to millilitres.\nAnswer: 82211.18","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from doffdjujfdmuju. What is prob of picking 1 d and 1 m?\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.02 - -0.38. Let q = 10.24 - 10.24. Sort 2\/11, y, q in decreasing order.\nAnswer: y, 2\/11, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -188 - (-142 - -25) - -86.\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-2)\/2 + (7 - 6). Let t = -3\/2 - x. Let j = -2 + 5. Put 0.5, t, j in decreasing order.\nAnswer: j, 0.5, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 1, f: 14, a: 1}. What is prob of sequence fa?\nAnswer: 7\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -30 = 5751*a - 5756*a for a.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is eleven quarters of a litre in millilitres?\nAnswer: 2750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Total of -0.068 and 994.5.\nAnswer: 994.432","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(44))**2 + 0 + -5 + (sqrt(88)\/(sqrt(8) - -3*sqrt(24)\/sqrt(3)))**2 - ((sqrt(1331) - (2 + sqrt(1331)))*-4 + -6*sqrt(1331)*-2).\nAnswer: -132*sqrt(11) + 507\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -55 + 106 - 6*z - 35 + 4*z**2 + 22*z = 0. What is z?\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 348830984 a multiple of 5443?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 100 (base 5) in base 4?\nAnswer: 121","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y + y + 2*n - 18 = 0, -4*n + 28 = 4*y. Suppose -d + 1 = -y. Differentiate 3*o - 4*o**4 - 3*o + 2 + d*o**4 with respect to o.\nAnswer: -4*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*x**4 + 36*x**3 - 116*x**2 + 156*x - 72.\nAnswer: -4*(x - 3)**2*(x - 2)*(x - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -0.3 (b) -22 (c) 28 (d) -0.05\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) be the third derivative of 0*g**3 + 0 + 0*g + 5*g**2 - 1\/8*g**4. Let f(a) = a**2. Give f(n(y)).\nAnswer: 9*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 74384 is divided by 37189?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 + (-1)\/2 - 18\/4.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 l and 1 a when three letters picked without replacement from aaalakfalaill.\nAnswer: 18\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*a + 3*a + 370 = 30*a. Calculate the greatest common divisor of a and 35870.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -91 (base 16) to base 10.\nAnswer: -145","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**33\/((q\/(q\/(q*q*q**(4\/21)*q)))\/q))**46 assuming q is positive.\nAnswer: q**(29762\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1468 + 921. Let c = 560 + w. Let v = 23 - 13. What is the remainder when c is divided by v?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1 - -10. Let i(a) = -a**2 - 3. Let x(w) = 2*w**2 + 3*w - 13. Let l(g) = -3*i(g) - x(g). List the prime factors of l(h).\nAnswer: 2, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 613 to the power of 1\/2, to the nearest integer?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -3448*c**2*g**2 + 12*c*g**3 + 2*c*g - g**3 + 25*g + 606 wrt c.\nAnswer: -6896*c*g**2 + 12*g**3 + 2*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange x**3 - 2*x**2 + 50 - 30 - 46 to the form a*x**2 + v*x**3 + s + t*x and give s.\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 106430402 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13*l - 16*w + 44 = -12*l - w, -2*l - 2*w + 4 = 0 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 86 is divided by 9?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express (-5 + 8 - 5)*(2 - 2 - 5*g)*(4 + 2*g - 4) as y + f*g + z*g**2 and give z.\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in six fifths of a meter?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 9 - 11. Let r = 7 + u. Solve -r*s - 13 = w, s = -3*w - 2*w - 17 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2209199626 plus 0.295?\nAnswer: 2209199626.295","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 55*w - 414 = 52*w. Suppose 4*f - 976 = 36. Suppose -c + w = -f. Is c prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = -69*r - 2319. Let o = 13 - -58. What is the remainder when o is divided by b(-34)?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 1\/((15\/(-9))\/(-5)). Let i = 40.3 - 38.3. Let l = 13.4 - 13. Which is the closest to i? (a) -1 (b) l (c) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -171936 - 12808.015.\nAnswer: -184744.015","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = 6*m**2 + 23*m - 1. Let q be f(-4). Suppose k - 2477 = -4*k + q*d, -4*d = 16. List the prime factors of k.\nAnswer: 17, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7\/14*(-6)\/9.\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.5044 + -0.0044. What is the nearest to -1\/2 in k, 0, 1?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 v and 1 j when two letters picked without replacement from {j: 1, d: 3, e: 4, v: 2, s: 1}?\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) be the first derivative of 0*f**3 - 2*f**2 + 0*f - 5\/4*f**4 + 4. What is the second derivative of w(t) wrt t?\nAnswer: -30*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -0.5 (b) 99 (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = -8*i**3 - 24*i**2 + 11*i + 6. Let r(p) = 4*p**3 + 12*p**2 - 5*p - 2. Calculate -5*r(z) - 2*x(z).\nAnswer: -4*z**3 - 12*z**2 + 3*z - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -170 + 170.5. What is the closest to -2\/3 in -1, -8, t?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -o + 2*p, -28*p = -5*o - 26*p + 24. Let r(m) = -238*m. Let q(x) = 17*x. Determine o*r(g) + 85*q(g).\nAnswer: 17*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 2, x: 3, w: 1, v: 10}. What is prob of picking 2 x?\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-2)\/1 + (7 - -1). Suppose -c - 20 = -u*c. Suppose c*i - 50 = -i. What is the greatest common divisor of 25 and i?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z + 12 = 6*z - l, -l = 2*z - 21. Suppose 0 = -5*f + z*f + 6*f. Determine c so that 0*c + 1\/2*c**3 + f - 1\/6*c**4 - 1\/3*c**2 = 0.\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 19285 is divided by 38?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 638.5242l?\nAnswer: 638524.2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -23.1 minus 47?\nAnswer: -70.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*m = 17*m - 1428. Let g = m - 113. What are the prime factors of g?\nAnswer: 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 42924549 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert -4 (base 13) to base 2.\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z - 2*z - y + 31 = 0, -22 = -z - 5*y. Solve -2*h + z*h = -15 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) be the first derivative of -405*n**2\/2 - 2*n - 1549. Let y(r) = -r**2. Determine y(a(d)).\nAnswer: -164025*d**2 - 1620*d - 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 13707209?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 125617.\nAnswer: 125617","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2334?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1198 + 746 - 1033 = -9*a. Solve -48 = -a*w + 177*w for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*x - 3*x - 219 = -4*p, 2*p - 4*x = 102. Calculate the highest common divisor of 38 and p.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 1e + -d2?\nAnswer: -b4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = u**2 - 30*u + 98. What are the prime factors of v(35)?\nAnswer: 3, 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 79031 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*d + 503 + 487 = 0. Calculate the common denominator of 33\/35 and (3\/(-28))\/(d\/(-12)).\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is seventeen quarters of a meter in millimeters?\nAnswer: 4250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = -r**3 + 13*r**2 - 37*r - 40. Calculate c(7).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 k when two letters picked without replacement from {t: 3, j: 3, g: 3, k: 3, m: 1, x: 2}?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:13 PM and 10:01 PM?\nAnswer: 468","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = -j**2 - 10*j - 8. Let b be q(-7). Let u = 53 - b. List the prime factors of u.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (1 - 2 - 1)*(2*v**3 - 2*v**3 - 2*v**3) - 3*v**3 + 3*v**3 + 2*v**3 + 0*v**3 - 3*v**3 + 6*v**3 as l*v**2 + d + n*v**3 + y*v and give n.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 4.79 - -0.21. What is the nearest to 14\/5 in 2, -0.3, o?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 978 + -918. Suppose -1 = n - 13. Suppose 4*i = n + 108. What is the highest common factor of q and i?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 25 - 23 + 170*a**5 - 30*a + 5*a - 4*a + 21*a**5 wrt a?\nAnswer: 3820*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence sas when three letters picked without replacement from {s: 2, a: 1, g: 1, v: 1, r: 1, i: 1}.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*z = -5*l + 35, 22*l - 17*l - z = 39 for l.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1204492 to the nearest integer?\nAnswer: 106","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -536, -1013, -1490, -1967, -2444, -2921?\nAnswer: -3398","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 times -2086?\nAnswer: 8344","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1210 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = -13*s - 5. Let l(d) = 7*d + 3. Suppose 5*g - 4 = -2*v, -g + 7 = -v + g. Calculate v*a(f) - 5*l(f).\nAnswer: 4*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is (-7)\/35*4\/4*1?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = 2*x**2 - 46*x - 329. Give d(29).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) be the third derivative of 7\/30*v**5 - v**2 + 1\/24*v**4 + 0 + 0*v + 1\/6*v**3. Is s(-1) a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 28*g*q**2 - 75*g*q*t**2 + 127*q**2*t**2 - q**2 wrt g.\nAnswer: 28*q**2 - 75*q*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -12 + -96?\nAnswer: -a8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 5951.7 and -762?\nAnswer: 6713.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 4653397 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-568)\/994)\/((-5)\/(35\/18))?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6*m - m + 2 + 0)*(0*m**2 + 0*m**2 + 16*m**2).\nAnswer: 80*m**3 + 32*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = 19*x**4 - 3*x**2 - 19*x + 3. Let g(h) = h**2 + h - 1. Let n(i) = -3*g(i) - t(i). Find the second derivative of n(u) wrt u.\nAnswer: -228*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -217104, -434202, -651300, -868398, -1085496, -1302594?\nAnswer: -1519692","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -16522, -12431, -8340, -4249, -158, 3933?\n\"Answer: 4091*h - 20613","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 14, p: 1}. Give prob of picking 2 k.\nAnswer: 13\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {j: 1, u: 1, t: 1}. Give prob of sequence utt.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = 2*d**3 + 28*d**2 - 7*d - 35. What is the remainder when q(-14) is divided by (17\/(-2))\/((-4)\/8)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 749748 and 1161?\nAnswer: 6747732","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1457637900?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 284885 and 681?\nAnswer: 227","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p**4 + 34*p**3 + 1116*p**2 - 10080*p = 0. Calculate p.\nAnswer: -21, 0, 8, 30","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1599 and 127624302?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 890 + -861. Calculate the remainder when 897 is divided by u.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 829*g - 832*g + 3*t = 6, 20 = -3*g - 4*t for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 2\/17, -3, -5\/2, -0.02?\nAnswer: -0.02","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*c + 2 - 2)*((-2 + 0 + 1)*(4 - 4 - 1) + 0 + 4 - 2).\nAnswer: -6*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 21015?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) be the second derivative of -10*w + 0*w**3 + 0*w**6 - 11\/20*w**5 + 0 - 7\/2*w**4 + 1\/42*w**7 + 0*w**2. Find the third derivative of i(g) wrt g.\nAnswer: 60*g**2 - 66","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (9 + 5)\/((-3)\/12*1*-1). Solve -60 = t*h + 276 for h.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -11 + 6. What is the nearest to -5 in -0.2, l, 0.2?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 22*2*(-153)\/187.\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1368982*u**2 + 55*u**3 + 1369060*u**2 + 4 - 5 to j*u + a*u**3 + h + t*u**2 and give h.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.5 + 0.8. Let r = g + -1.6. Are r and -1 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -19, -27, -37, -49, -63, -79, -97?\nAnswer: -117","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -5933, -11873, -17873, -23933, -30053, -36233, -42473?\nAnswer: -48773","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-5)\/30 - 67\/(-6). Suppose 0 = -125*d - 2064 + 2189. Calculate the highest common divisor of s and d.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2783 - 10*g**3 + 2783 + 104*g**3.\nAnswer: 94*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -2\/9 (b) -2\/11 (c) 2686 (d) -4 (e) -8\/27\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 490 minutes before 2:40 AM?\nAnswer: 6:30 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -3, 19158, -8?\nAnswer: -8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -166 - -163. Let z = 49 - 21. Which is the second smallest value? (a) 3 (b) z (c) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -3 + 8. Let x = 91.8 - 74. Let w = -18 + x. What is the nearest to -2\/5 in o, w, -3?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -6121*c - 6015*c + 2737*c to t + f*c and give f.\nAnswer: -9399","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = -p**2 - 120*p + 57. Give k(-126).\nAnswer: -699","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 20\/14*-7 + 6 + -108 + 12.\nAnswer: -100","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) be the first derivative of 2\/7*c**2 - 1\/7*c**4 - 8 + 4\/21*c**3 - 4\/7*c. Find h, given that r(h) = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 27 (base 8) to base 3.\nAnswer: 212","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = -t**3 + 4*t**2 + 5*t + 5. Determine x(5).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -254*h**2 - 96*h + 130*h**2 + 123*h**2 to t*h + a*h**2 + b and give a.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t = 3*t. Let o be (-3)\/(6\/60*-6). Suppose 4*g + 4*a - 8 = -0*a, 0 = -4*g - 3*a + 11. Solve t = o*w + g*z + 40, -2*w + z - 2 = -w for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) be the third derivative of -c**7\/840 - 3*c**5\/5 - 44*c**2. Let r(n) be the third derivative of a(n). Let b(z) = -2*z**2. What is r(b(k))?\nAnswer: 12*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + (2*sqrt(2700))**2 + 4*sqrt(21)\/(sqrt(7)*1) + 2.\nAnswer: 4*sqrt(3) + 10798","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:05 PM and 8:48 AM?\nAnswer: 583","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 7959151 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Divide 0 by -101.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -159, -128, -97, -66, -35?\n\"Answer: 31*h - 190","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = 8836*y + 52884. What is i(-6)?\nAnswer: -132","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -53*u - 761 - 246 for u.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) be the second derivative of -h**3 - 3*h**2 - 5*h. Is u(-6) a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*l**2 + l**2 + l**2)*(0 - 2 + 0)*(30 + 15 - 27)*(4 + 2 + 9) + 2*l**2 + 0 + 0.\nAnswer: 542*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q + 45 = 109. Let o(s) = s**2 + s + 1. Let l be o(-1). Let u be 0*l\/(-3 + 2). Solve -3*m + u*m + 14 = -k, -2*k + 3*m = q for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-4)\/14 + (-16)\/(-448). Put 0.4, k, -2, 3\/4 in ascending order.\nAnswer: -2, k, 0.4, 3\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -33009 + 17*f - 17*f + 33009 + 2*f**2.\nAnswer: 2*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 8 + -13 + (8 - -4)\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n = -2*m - 26, -15*m - 4 = -11*m + 4*n. Let g(u) = u**3 + 4*u**2 - 8*u - 4. What is g(m)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = -2*g + 25. Let d be l(-14). Let c = 57 - d. Find the second derivative of -2*q**c + 11*q**4 + q**3 - 2*q - q**3 wrt q.\nAnswer: 108*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = -u**3 - 8*u**2 - 9*u + 1. Calculate f(-4).\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -182, -3, -0.84, 1\/5, 0.4, 12.\nAnswer: -182, -3, -0.84, 1\/5, 0.4, 12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-24)\/1260*-322 + 48\/(-144).\nAnswer: 29\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1511 and 5?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = 11*h**3 - 2*h**2 + 2*h - 1. Let t be (-9)\/(-6) + 1\/(-2). Let m be r(t). Let b = m - 5. Is b greater than 6?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 157\/612 and -71\/63.\nAnswer: 4284","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 32652 (base 15) in base 9?\nAnswer: 263485","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y - 33 = 4*h + 16, 5*h - 111 = -2*y. Is y prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (303807\/5106)\/((-51)\/12)?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 60284 and 1073828.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -29*w = -19*w - 310. Calculate the greatest common divisor of 31 and w.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 4\/10 - 114\/(-15). Let v = -3 + r. Let q = -4 + v. Is q >= 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 231 (base 5) in base 3?\nAnswer: 2110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 12 + (-4 - -5) + -24 - -9?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 108 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*a**5\/3 + 2110*a**4\/3 + 14840*a**3\/3 + 29720*a**2\/3 + 5664*a = 0.\nAnswer: -4, -2, -1, 0, 1062","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = -j**3 + 13*j**2 - 21*j - 12. Suppose -15 = -18*n + 183. Determine u(n).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -25 - -30. Let -4*x**4 + d*x**5 + x**4 - 4*x**2 - 12*x**4 + 24*x**2 = 0. What is x?\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1780036 at least 12460251\/7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = -5*z**3 - 2*z. Let w(t) = 2*t**3 + t. Determine 5*k(c) + 10*w(c).\nAnswer: -5*c**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(-3\/2)*w*w**4*((w\/(w\/(((((w\/((((w*w*w*w\/w**(2\/19))\/w)\/w)\/w))\/w)\/w)\/w*w*w)\/w)))\/w)\/(w\/(w*w**1)))**41 assuming w is positive.\nAnswer: w**(2501\/38)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 16\/176*-1*-143. Solve d - 6 = u, -u - d - h + 9 = 0 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 57324 and 20496.\nAnswer: 97909392","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is bb - 0?\nAnswer: bb","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = 2*y**2 - y**2 + 0*y**2. Let h be l(-2). Suppose -4*u - 10 = -2*m, 5*u - h*m + m = -15. Solve u = k - 2*k - 3 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w + 3*q - 2*q - 33305 = 0, -2*w - 13339 = 3*q. Let z = -2740 - w. Suppose -7*a + 180 = -z. Is a prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = 8*l + 56. Let g be j(-6). Solve -2*z + 3*t = 8*t - 7, -4*t + g = z for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7120 is divided by 3442?\nAnswer: 236","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 206166909 to the nearest integer?\nAnswer: 14359","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/39 in 4, -13, -1\/4, -7, -4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -x - 5*i + 9 = 0, 3*x - 6*i + 11 = -2*i for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 59704 is divided by 29?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.3 and -40.\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(((-6*sqrt(17)*-1)**2 - (0 + sqrt(17) + 1)) + 2)*3.\nAnswer: -5517 + 9*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 4 + r**2)*(-2 + 5 - 4) - 3*r - r**2 + 3*r - 24770493*r + 24770493*r + 10*r**2 - 174.\nAnswer: 8*r**2 - 174","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 951 and 6974.\nAnswer: 317","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-8)\/20 - 10\/(-25). Put -4, 1, a in decreasing order.\nAnswer: 1, a, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (1 - 0)*-12*2\/(-8). Suppose -o + 2 = 0, -k*w + 4*o = 2*w + 33. Let a(d) = -3*d - 3. Let j(m) = -2*m - 2. Give w*j(h) + 4*a(h).\nAnswer: -2*h - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m - 5140 = -4*h + 26844, 5*m + 39950 = 5*h. Is h a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 219919753?\nAnswer: 557, 394829","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 4266001 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 25572?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve g**5\/5 - 18*g**4\/5 + 119*g**3\/5 - 354*g**2\/5 + 468*g\/5 - 216\/5 = 0 for g.\nAnswer: 1, 2, 3, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 43*y - 17*y + 24*y + 450 = 0 for y.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (14\/5 + -2)*5. Suppose -o - 3*o + 5*n + 16 = 0, 0 = -3*o - 4*n + 12. Suppose -2*y = 4*g + 6, 5*g + o = 3*g - 2*y. Sort g, a, -5.\nAnswer: -5, g, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 18? (a) -0.4 (b) 1.7 (c) 0.21\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -12344628.275 + -0.2.\nAnswer: -12344628.475","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 13 + 2. Suppose 65*g = 66*g - 6. Calculate the remainder when b is divided by g.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (b**2 + 50*b - 50*b)*(-12*b - 45*b + 20*b)*(2*b + 2 - 2) in the form t + f*b**2 + j*b**3 + h*b**4 + v*b and give h.\nAnswer: -74","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from oowhoobobhohowoiow. Give prob of picking 1 h, 1 w, 1 i, and 1 b.\nAnswer: 1\/170","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -1198130, -1198133, -1198146, -1198175, -1198226, -1198305?\n\"Answer: -g**3 + g**2 + g - 1198131","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = -12*j**3 - 203*j**2 + 17*j - 14. Let k be w(-17). Put k, -51, 3 in descending order.\nAnswer: 3, k, -51","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 154 - 154 + 9*v.\nAnswer: 9*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:35 AM and 10:06 PM?\nAnswer: 631","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 33540 (base 9) in base 16?\nAnswer: 5727","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 3 - ((2 - -43) + 1 + 0). Let i = 47 + s. Calculate the remainder when 6 is divided by i.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 25839 + -21492.4. What is h rounded to the nearest 1000?\nAnswer: 4000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from dkiiaakakkdicdkikcc. What is prob of picking 2 a and 1 k?\nAnswer: 6\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = -94*o + 1058. Let j be f(11). Let h be ((-9)\/(-6) + -1)*2. Suppose 5*s + h = 21. Solve -a = 3*y + 13, s*y + 4*a + j = a for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = -7*r**2 + 135*r - 617. What is b(13)?\nAnswer: -45","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 9\/(-18) - (-121)\/2. Let q be 84\/l - 1\/((-10)\/(-4)). Suppose -3 = -m + q. Solve -t + n = -2*t + 8, 0 = -m*t + 4*n for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -109*w + 110*w - 12*w**2 - 16*w**2 to the form f + n*w**2 + t*w and give f.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = 5*z**2 - 5*z + 182. Let i(n) = 2*n**2 - 2*n + 62. Calculate -8*i(j) + 3*u(j).\nAnswer: -j**2 + j + 50","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = -5*c**2 - 10*c - 5. Let i(y) = 2*y**2 + 5*y + 2. Let h be 0 - -9 - 34 - -11. Calculate h*i(v) - 6*r(v).\nAnswer: 2*v**2 - 10*v + 2","meta":{"dup_signals":{},"source":"polynomials__add_test"},"subset":"dm_maths"} +{"text":"Question: What is 1\/5 of a gram in milligrams?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2574055833.\nAnswer: 3, 17, 23, 2194421","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is (2\/10*1)\/((-2028)\/845*9\/(-336))?\nAnswer: 28\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 12\/(-28)*693\/(-2376)*-176.\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -6*j - 6*j + 26*j - 3*j**3 - 11*j to the form r + x*j**2 + i*j + k*j**3 and give k.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 16867?\nAnswer: 101, 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = -5*p**2 - 14*p + 171. Let u(j) = 6*j**2 + 17*j - 171. What is 5*i(w) + 4*u(w)?\nAnswer: -w**2 - 2*w + 171","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 25970898 a multiple of 87?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u - 25 + 108 = 4*l, 248 = 4*u - 5*l. What is the tens digit of u?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1086?\nAnswer: 2, 3, 181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -15 - -8. Let z = -5 - s. What is the units digit of z?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*c**4 - 2*c**4 + 2*c**4)*(3 + 0 - 4) - 2010*c**4 - 50*c**3 + 91*c**3 + 13953*c**4 - 41*c**3.\nAnswer: 11941*c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p + 4*i - 1259 = 0, -4*i = 4*p - 3*i - 1016. What is the highest common factor of 15 and p?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify f**(6\/13)*f*f**10\/f*f**(-2\/3)*f\/(f*(f*f\/f**16)\/f) assuming f is positive.\nAnswer: f**(967\/39)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 640.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Work out -915889 + 4.\nAnswer: -915885","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (601389\/(-18))\/((-2)\/(1 - -3)). Let b(d) = -66821 + z - 28*d. Let q(t) = -7*t**2. Calculate b(q(g)).\nAnswer: 196*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 381717 and 306.\nAnswer: 12978378","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1116, -5504, -13048, -23754, -37628, -54676, -74904, -98318?\nAnswer: -124924","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (24 - 11) + (4201 - 12). What is the greatest common factor of d and 66?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -25 + 28. Suppose v*p + 18 = 3*i, 57 + 3 = 5*i + p. Calculate the remainder when 43 is divided by i.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = a**3 + 4*a**2 + 4*a + 2. Let z be c(-2). Let h be 17 + 2*(-3)\/z. Let g = -1 + h. What are the prime factors of g?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 2*k*o**4 + 24*k*o**3 + 13*k + 15 wrt o?\nAnswer: 8*k*o**3 + 72*k*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -63 + 68. Let p(m) = -8*m - 6*m - t*m + 22*m. Let l(i) = 2*i**2. Give l(p(j)).\nAnswer: 18*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = 5*w**3 + 88*w + 548. Calculate f(-5).\nAnswer: -517","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.3213 and 2114?\nAnswer: -679.2282","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 10355 divided by -10355\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 63592481?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -35 + (13 - 13) + 5 + 9\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*sqrt(243))\/(2*sqrt(1089)).\nAnswer: 9*sqrt(3)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 457 divide 59327787?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2138 is divided by 34.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -2\/11, 0.48, -3, 0.1, 6.2, 1?\nAnswer: 0.48","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3)\/24*2*(-24)\/27?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 15597766297 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 11, 9, -9, -49, -117, -219, -361, -549?\n\"Answer: -z**3 - 2*z**2 + 11*z + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = -2*w + 29. Let v be p(14). Let y(j) = -2 - 59*j - 56*j + j**2 + 115*j. Let z be y(v). Let g(s) = 6*s**3 + s + 1. Give g(z).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 801 - 261. Suppose 2*t + 13*t = o. Calculate the highest common divisor of 396 and t.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1386734818.\nAnswer: 2, 7, 29, 631, 5413","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -407 - -1084. Is r a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 274 minutes after 5:02 PM?\nAnswer: 9:36 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) be the third derivative of -59*j**5\/15 + 113*j**4\/12 + 281*j**2. What is the second derivative of y(u) wrt u?\nAnswer: -472","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*o**2 - 4 + 4)*(-2*o**2 - 2 + 2 + 0*o**2 + o**2 - 2*o**2 + (0*o - o - o)*(4*o - 4*o + o) + 9 + 13*o**2 - 9).\nAnswer: -16*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 206*r**3 + 2*r**2 + 103?\nAnswer: 1236","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 29*l + 48 = 77. Let h be -2*(-3)\/2*1. Put -4, h, l, -3 in decreasing order.\nAnswer: h, l, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1268 - -3808\/3. Put u, -0.0398, 3, -5 in descending order.\nAnswer: 3, u, -0.0398, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 6570 and 16?\nAnswer: 52560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 54875?\nAnswer: 5, 439","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -47518606 divided by 2.\nAnswer: -23759303","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -126*q + 675 = -121*q. Let o(z) = 2*z**2 + 8*z + 3. Let m be o(-6). What is the highest common factor of m and q?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:11 AM and 7:54 AM?\nAnswer: 463","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 3, 16, 4.\nAnswer: -1, 3, 4, 16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -7744, -15530, -23362, -31246, -39188, -47194, -55270, -63422?\n\"Answer: -x**3 - 17*x**2 - 7728*x + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3375 + -3321 - (2 + 0 - 1)) + 17.\nAnswer: 70","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -511286 at least -381?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s + 5*d = -385, -211 = -6*s + 3*s - d. Suppose 4*u - 24 = s. Let a = 45 - u. Is a composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -7, -1, 6, 0.048, -0.3, 2618\/5?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Divide -13135 by -13135.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 3635\/3468 smaller than 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f + 10 = -f. Let j(u) = u**3 + 3*u**2 + u - 2. Calculate j(f).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*h - 4*a - 6 = 0, -19*h + 22*h - 1 = 4*a for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -16 + 15. Let h = c - -48. Is 28 a factor of h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 18477494970 rounded to the nearest 100000?\nAnswer: 18477500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -7.36 and -0.5?\nAnswer: 6.86","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -3\/7, 2, 0.03, -3?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -8*s + 508 + 84. What is the tens digit of (s - 2) + (-4 - 0)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ooho. Give prob of sequence oo.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = 130*b**3 + 120*b**2 - 290*b + 40. Let c(i) = 195*i**3 + 179*i**2 - 434*i + 60. Let g(o) = 5*c(o) - 7*k(o). Factor g(s).\nAnswer: 5*(s - 1)*(s + 2)*(13*s - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (9\/6 + 3)*-2?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a + 541033 = 4*b, -2*a = 3*b + 2*a - 405770. Suppose -l = b + 62742. What is l rounded to the nearest 10000?\nAnswer: -200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve x + 3 = 3*r, 5*r + 10*x = 10 - 5 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.6 + -32.79.\nAnswer: -32.19","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s + 372 = -4*o, 4*o + 120 + 212 = 5*s. Let h = -13 - o. Let m = -40 + h. Is m composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 24057159837 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -135 + 123. Let n be (70\/(-28))\/(-2 + (-22)\/u). Solve 17*l - 6 = n*l for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 5, 4, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let -7*w**4 + 45*w**3 - 81*w**2 + 55*w - 12 = 0. What is w?\nAnswer: 3\/7, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 170, 725, 1668, 3005, 4742, 6885?\nAnswer: 9440","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence eevv when four letters picked without replacement from vvveeeveeee.\nAnswer: 7\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g + 245 = 5*p, -2*p + g = 2*g - 101. Suppose j - 17 = -y - 7, p = 4*y + 2*j. Calculate the remainder when 41 is divided by y.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2\/(-5) - 11\/(-15).\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = -3*l**2 - l**3 - 5 + l**2 - 7*l**2 - 17*l - 4*l**2. Calculate the remainder when t(-12) is divided by 14.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 44.5985 + 0.1015. Let j = t + -45. Let s = -6 + 6.5. What is the closest to -1 in s, j, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 2\/5, 1\/10, -0.8, 68, -1478?\nAnswer: 68","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(156) + 2*sqrt(156))*-4 - sqrt(156)) + 2*(-2*sqrt(156) + sqrt(156) - sqrt(156)))\/(sqrt(72)\/(sqrt(24)\/(sqrt(12)\/sqrt(3)))).\nAnswer: -17*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hevebbhfcbhfe. Give prob of picking 1 b and 1 v.\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.1, 0.1, -10, 4.\nAnswer: -10, -0.1, 0.1, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 3 + 178?\nAnswer: 17b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -392497, -784373, -1176249?\nAnswer: -1568125","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -202 (base 3) in base 2?\nAnswer: -10100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b - 60 = -0*b. Let y be (-1)\/((-7)\/35) - 2. Let m be y*(10\/(-3) + 6). Calculate the highest common factor of b and m.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*(sqrt(65)\/sqrt(5))**2 + (-2*sqrt(156))\/sqrt(12))*5.\nAnswer: -10*sqrt(13) + 260","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor o**5 - 7*o**4 - 8*o**3.\nAnswer: o**3*(o - 8)*(o + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 69 - 1959 = -189*x for x.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 133a + 2?\nAnswer: 133c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 63049713.\nAnswer: 3, 4363, 4817","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 4958 a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (-182)\/(-6) - (-12)\/18 - -3 is divided by -1*(-2)\/(-1) + 20?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 24292 is divided by 49.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 3 - 2)*(a**4 + 3*a**4 - a**4) - a**4 + 4*a**4 + 3*a**4 + (a + 2*a - 4*a)*(2*a**3 - 3*a**3 - a**3) - 7 + 7 + 3*a**4.\nAnswer: 14*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.05 and -1555?\nAnswer: 77.75","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Divide 3 by 54459.\nAnswer: 1\/18153","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = -n**2 + 14*n + 20. Let h be d(15). Let j(v) = 48*v + 21. Let f(a) = -20*a - 10. Let z(u) = 7*f(u) + 3*j(u). Determine z(h).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = -6*k - 18. Let z(l) = -11*l - 36. Let g(u) = -5*v(u) + 2*z(u). Is 44 a factor of g(18)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 171, 45, 1\/19, 4?\nAnswer: 171","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 273451?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*p - 12 - 16. Let m(x) = 3*x + 25. Let o(d) = -d - 8. Let v(r) = -2*m(r) - 7*o(r). Is v(p) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = 762*u**2 + 2132*u + 4261. Determine o(-2).\nAnswer: 3045","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 7*x + 3*x + 20*x - 2*x**3 + x**3 to the form l*x + c + n*x**2 + p*x**3 and give c.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 2629 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u + 229 = 2*o, 0 = 3*u - 0*o + 5*o - 235. Find p, given that -90*p**3 - 108*p**2 + u*p**4 + 10*p - 28*p - 6*p = 0.\nAnswer: -2\/5, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 25871 + -7644. List the prime factors of x.\nAnswer: 11, 1657","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -49, -47, -45?\n\"Answer: 2*v - 51","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 813003 is divided by 40650?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 426 - 730. Let l = -298 - z. Which is the closest to 27? (a) 1\/2 (b) -1\/2 (c) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*t + 2*t + t**3)*(92 - 40*t - 92) - 219*t - 89*t**4 + 219*t.\nAnswer: -129*t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 30604?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-42)\/4*1\/2*-345*212\/(-682640).\nAnswer: -9\/16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:35 PM and 7:58 PM?\nAnswer: 323","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -51*(-5 - (4 - ((-7)\/(-3) - -2))). What is the greatest common factor of 2108 and h?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) be the third derivative of 7*s**4\/24 + s**2. Let k(x) = -5*x - 24. Let p(o) = 2*o + 8. Let d(n) = 5*k(n) + 15*p(n). Determine d(c(b)).\nAnswer: 35*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*g**3\/5 - 3722*g**2\/5 + 1726064*g\/5 + 5211744\/5.\nAnswer: 2*(g - 932)**2*(g + 3)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 37*l - 2*l + 170 = 30 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -15\/14243 and -36\/11?\nAnswer: 156673","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2187021891.\nAnswer: 3, 10093, 72229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -27*g + 323 = -8*g. Calculate the remainder when 33 is divided by g.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -137 - -137.00000244. Round w to seven decimal places.\nAnswer: 0.0000024","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 446461 is divided by 34?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 71878*a - 3 - 71852*a + 3.\nAnswer: 26*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 176251.\nAnswer: 337, 523","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = g**3 + 4*g**2 + 3. Let x be q(-3). Suppose -3*b + 2*z + x = 0, 2*z - z + 7 = 2*b. Find u such that 1\/5*u**4 + 0*u + 1\/5*u**b + 0 - 2\/5*u**3 = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -7627670, -15255350, -22883034, -30510722, -38138414, -45766110, -53393810?\n\"Answer: -2*p**2 - 7627674*p + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express 2 - o**2 + 2*o**3 - 8*o**2 + o**2 - o**4 - o**2 in the form r + k*o**4 + w*o**2 + y*o**3 + t*o and give r.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -1.26 times 0.07\nAnswer: -0.0882","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1080 - -1488. What is the remainder when i is divided by 82?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express ((-v - 3*v + 3*v)*(1 - 1 - 4*v) - 74*v + v**2 - 65*v + 44*v)*(4*v**2 + 0*v**2 + 0*v**2) as w + y*v**2 + g*v**3 + r*v + t*v**4 and give g.\nAnswer: -380","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 98 + -95. Solve -22 - a = 5*t for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -29 by 2632.\nAnswer: -29\/2632","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 1716 (b) 0.1 (c) -3 (d) -5 (e) 1.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = b**3 - 3*b**2 - 9*b - 2. What are the prime factors of w(7)?\nAnswer: 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:24 AM and 4:31 PM?\nAnswer: 547","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = -r**2 - 63*r + 2028. Let s be v(23). What is the greatest common divisor of s and 890?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 293*o - 44050 = -74*o - 4298 + 2086 for o.\nAnswer: 114","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 140255 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 45 - 45. Suppose d = 5*y + 25, -3*y + 100 = 5*j - 95. Is 23 a factor of j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = 7*w**2 - 2. Let h(j) = -2*j**2 - 125*j + 12. Let d(v) = -v**2 + 25*v - 2. Let q(i) = -5*d(i) - h(i). Calculate 4*q(n) - 5*y(n).\nAnswer: -7*n**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 298 greater than 298?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1154 + -1691. Let n = o - -540. Let h be ((-4)\/(-6))\/(3 - 1). Which is the closest to -0.05? (a) n (b) h (c) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*-1*sqrt(378) - sqrt(378))\/sqrt(6) + (sqrt(84)*2*1)\/(1*sqrt(108)).\nAnswer: -43*sqrt(7)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_test"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = -x**3 + 5*x**2 - x + 1. What is p(4)?\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 5 - 3. Let l(x) = -x**3 + 9 + x + k*x - 2*x. What is the units digit of l(0)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = 9*w + 2. Does 10 divide g(2)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*sqrt(19)*-3 + -4*(-1 + sqrt(19)).\nAnswer: -7*sqrt(19) + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -732 = -3*n - 27*d - 519, n + 2*d - 57 = 0 for n.\nAnswer: 53","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) be the first derivative of p**4\/4 - 8*p**3\/3 - p**2 + p + 2. Let x(h) = -103*h - 610. Let f be x(-6). Give w(f).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 55144 - 4*m + 3*m**2 - 55144 in the form x + z*m + o*m**2 and give o.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = 100*f**3. Let o(k) = -16*k**2 + 3*k - 1 + 4*k + 15*k**2. Let c be o(7). Let v be s(c). Round v to the nearest 1000.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(55)\/(((4*sqrt(99) - sqrt(99)) + sqrt(99))\/sqrt(9)).\nAnswer: sqrt(5)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 3518 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12*x**3 - 27*x**3 + 16*x**3 + 16*x**3.\nAnswer: 17*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -2579\/92 - -662\/23. Which is smaller: a or 0.3551?\nAnswer: 0.3551","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r + 176 = 4*w, -r + 96 = w - 3*w. Is r a multiple of 23?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) be the third derivative of -f**7\/630 - f**4\/12 + 3*f**2. Let x(r) be the second derivative of z(r). Let v(t) = 2*t. What is x(v(h))?\nAnswer: -16*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -91\/8 and -121\/530?\nAnswer: 2120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d**(-3)\/(d**(-2\/7)*d)*(d**1)**(-2\/9))**(-6))**(2\/3) assuming d is positive.\nAnswer: d**(992\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z + 84 = 3*n, 5*z - 3*n = -n + 94. Solve 5*x - 40 = -3*k, -z*x = -13*x - 4*k - 5 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 3*(1 + (-62)\/(-6) + 3). Suppose -r = -c - 38. Do c and 15 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10*d - 145*d - 745*d**2 + 6*d**3 + 745*d**2.\nAnswer: 6*d**3 - 135*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 807338415.\nAnswer: 3, 5, 13, 17, 239, 1019","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 11, z: 3, p: 1}. Give prob of picking 1 p and 1 z.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t = 3*z - z - 12782, 5*z - t = 31944. Is z a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -5539 by 3.\nAnswer: -5539\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -0.03, 1\/2, -0.1, 4?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a - 10*a - 60 = 0. Let q be 26\/8 - a\/(-40). What is the derivative of q*d**2 - 1 + 2 - 2 - 3 wrt d?\nAnswer: 6*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = 4*c**2 + c. Let g be a(1). Let w = 71.927 - 71.627. What is the nearest to 1 in -0.3, g, w, 0?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -34\/5 - -42\/5. Factor 2\/5*g**3 - s*g**2 - 4\/5 + 2*g.\nAnswer: 2*(g - 2)*(g - 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 66\/36*37 - 3\/(-18) and 4?\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-63)\/147 + 373\/854.\nAnswer: 1\/122","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Are -2\/893 and 0 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 64 (b) -0.1 (c) -0.02838 (d) 0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*s - 3*s + s)*(-6 + 3 - 2*s + 1).\nAnswer: -4*s**2 - 4*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-11280)\/(-6580))\/(15\/(-6)*3\/15*3)?\nAnswer: -8\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 4495 and 557702741.\nAnswer: 899","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -5 - -7. Let k be s - (-5 + -1) - -2. Suppose 5*v = -k, -x + 3*v + 79 = 27. Is 12 a factor of x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = 17*k + 2. Calculate i(-5).\nAnswer: -83","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -0.011 (b) 282 (c) -0.4 (d) -3 (e) 4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -8 in 0.1, 1380, -0.04, -1, -0.5?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 830217403 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 7 + 9\/(-3) - 4. Let s be 2\/(-4)*q*3\/(-6). Solve z + s = -3 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -88*c**3 - 15*c**3 + 29*c**3.\nAnswer: -74*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -2\/5 or 2975829?\nAnswer: 2975829","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in thirteen eighths of a century?\nAnswer: 1950","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.079 - 13.079. Which is smaller: p or -0.3?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -43 - -49. What is the highest common divisor of 6 and t?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bp when two letters picked without replacement from bpsbsbbpss?\nAnswer: 4\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is (-816)\/(-102)*(-2)\/(-8)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1619*a = -1599*a - 13880. Calculate the least common multiple of 11 and a.\nAnswer: 7634","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 239*f - 6 - 457*f + 220*f.\nAnswer: 2*f - 6","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 23809 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 283 divided by 8105\nAnswer: 283\/8105","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.894 take away 44578.43984?\nAnswer: -44577.54584","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1.287? (a) -0.9 (b) 4\/7 (c) 0.57\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Does 54 divide 2416636?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -86107, -86220, -86333, -86446?\n\"Answer: -113*k - 85994","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) be the second derivative of j**5\/20 + j**3\/6 + j**2\/2 - 3*j. Let f be b(0). Which is smaller: 2 or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = u**3 + 13*u**2 - 3*u + 17. Let d = -10860 - -10846. Give x(d).\nAnswer: -137","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 18\/153 - (-1483)\/1122 and 50\/319.\nAnswer: 1914","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 810 - 555. Is i a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 18.84 from 3.06.\nAnswer: -15.78","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -49*n + 3*n**2 + 49*n.\nAnswer: 3*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -6 + 4. Let d = -7 - -5. Is l less than or equal to d?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -260 + 166. Which is smaller: g or -95?\nAnswer: -95","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (30 - (3 + -36 + 45)) + 97 + 5?\nAnswer: 120","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from iucjg. Give prob of sequence ug.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 14 - 21. Let o(w) = 6*w + 0*w**2 + 1 + w**2 + 1. What are the prime factors of o(g)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/7, -4\/3, -0.037, 3, -4, 2\/3.\nAnswer: -4, -4\/3, -0.037, 2\/7, 2\/3, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -1095*a**4 - 18*a**3 - a**2 + 2*a + 491141?\nAnswer: -4380*a**3 - 54*a**2 - 2*a + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = -10*h. Let w(r) be the second derivative of r**6\/360 + r**3\/2 + 2*r**2 + 22*r + 2. Let j(u) be the second derivative of w(u). Calculate j(f(l)).\nAnswer: 100*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1*2*sqrt(66))\/(sqrt(150)*2))**2 - (-2*(sqrt(110)\/sqrt(2))\/sqrt(5))**2*3.\nAnswer: -3289\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (6\/15)\/(6\/(-60)). Let a be ((-2)\/28)\/1*2. Let g = 4\/21 - a. What is the smallest value in f, g, -6\/5?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) be the third derivative of -i**7\/70 + 3*i**6\/40 + 3*i**5\/20 - 7*i**4\/8 - 3*i**3 + 31*i**2. Determine a so that s(a) = 0.\nAnswer: -1, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -g**3\/7 + 19*g**2\/7 - 55*g\/7 - 75\/7.\nAnswer: -(g - 15)*(g - 5)*(g + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 1 - 2*k**2)*(-526 + 88*k + 526) + 3*k**3 + 0*k**3 + k**3.\nAnswer: -172*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort -40, 2, -2, 5 in descending order.\nAnswer: 5, 2, -2, -40","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -86 + (-90 - -164) + ((-1)\/((-123)\/1098) - -3)?\nAnswer: -3\/41","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 150\/125 + 142\/(-10). Suppose -5*b + 9 = -2*b. Sort -3, d, b in descending order.\nAnswer: b, -3, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 96 and 44?\nAnswer: 1056","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -14752885 and 0.2?\nAnswer: -2950577","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y*y\/(y**3*y)*y)**(-23)*y*y\/(y*y\/((y\/(y\/(y*(y*y**(-1))\/y)*y)*y)\/y)*y*y*y)*y\/(y*((y*y\/((y\/y**(2\/13))\/y)*y)\/y)\/y*y) assuming y is positive.\nAnswer: y**(219\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Divide 202484224 by 53624.\nAnswer: 3776","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -7*g**3*p**2 + g**3*p + 373314*g**3 - g**2*p**2 + 32*g**2 - 110*p**2 - p wrt g?\nAnswer: -42*p**2 + 6*p + 2239884","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-1 - -3) + -3)\/((-369)\/(-6)). Let v = z - 236\/615. Which is the closest to -7? (a) -1 (b) v (c) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) be the second derivative of m**5\/20 + m**4\/3 + m**3\/2 + 21*m. Let s be b(-3). Solve -2*n + g = s, -2*g - 4 = 2*n + 8 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 1, 108 in descending order.\nAnswer: 108, 1, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 49\/4? (a) 4 (b) -1 (c) -1\/6 (d) 5 (e) -5 (f) 0.0185\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) be the second derivative of -2*n**3 + 75*n**2 + n + 29. Let z be v(-37). Calculate the greatest common divisor of z and 22.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*b**2 + 26168*b - 85595528.\nAnswer: -2*(b - 6542)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = s**2 + 106 - 106. Let j(r) = 3*r**2. What is t(j(a))?\nAnswer: 9*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 r and 1 j when two letters picked without replacement from frvrsju.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0*o**2 - 2*o**2 + o**2)*(40 + 16*o - 38 - 6*o)*(4 + 2 - 1) to n*o**2 + v*o**3 + r*o + h and give v.\nAnswer: -50","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = -s**2 - s + 28. Let r be a(-17). Let j = r - -429. List the prime factors of j.\nAnswer: 5, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is p in -3*p**4\/2 + 1665*p**3\/2 - 84729*p**2\/2 + 441135*p\/2 + 1613766 = 0?\nAnswer: -4, 11, 49, 499","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 - 17 - ((21 - 16) + (3 + -15 - -13))?\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 1620238999 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1437 or -1438?\nAnswer: -1437","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 698702817?\nAnswer: 3, 653, 356663","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = x - 4. Let q be j(5). Suppose 4*z + 3*b + 1 = 7, 0 = -5*z - 3*b + 9. Let p = z + q. Let a(d) = -d**3 + 3*d**2 + 4*d - 3. Calculate a(p).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-4635)\/(-81) + (-2)\/9?\nAnswer: 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-123)\/198 - (-8)\/12. Let g(r) = -6*r**2 + 3*r**3 - 1 + 2*r**3 - 4*r**2 - 9*r - 6*r**3. Let j be g(-9). Does j = w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g = -4*o - 16, 3*o = 3*g + o - 14. Let r(b) = -b**2 - 8*b - 1. Let z(j) = 0 + j - 2 + 2. What is g*z(d) + r(d)?\nAnswer: -d**2 - 2*d - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 3*h**2*p**5 - 830*h**2*p**3 + 19*h**2*p - 86*h*p - 2*h wrt p?\nAnswer: 60*h**2*p**3 - 4980*h**2*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6841418 is divided by 291?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 p and 1 r when three letters picked without replacement from {m: 2, d: 8, y: 5, r: 1, l: 1, p: 3}.\nAnswer: 1\/380","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = 39*n**3 - 5*n. Let i(m) = 2*m. Let t(l) = -3*i(l) - k(l). Suppose 3*q + 0 + 3 = 0. Does 20 divide t(q)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find b such that -b**2\/4 + 8*b - 15 = 0.\nAnswer: 2, 30","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 452 is divided by (33\/11 + 61)\/((-3)\/(-6)).\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4.855995l to millilitres.\nAnswer: 4855.995","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = -3*f**2 - 1108*f - 46482. Calculate b(-321).\nAnswer: 63","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*v + 4*v - 3*v)*(-2*v + 4*v - v) - 2336*v**2 + 106*v - 21*v + 2339*v**2.\nAnswer: 4*v**2 + 85*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*g + 1 + 3. List the prime factors of g*-1 - (-9 - -5).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2709\/258)\/(-1 - 0).\nAnswer: -21\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 7214, 31190, 71156, 127118, 199082, 287054, 391040?\nAnswer: 511046","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -f**2\/4 + 165*f\/4.\nAnswer: -f*(f - 165)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 440?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = 7*f + 4. Let d(h) = -13*h - 7. Let k(r) = 4*d(r) + 7*m(r). Let z(s) = -67*s + 13. Let a be z(-1). Let c(y) = -a*y - 81*y + 167*y. Give c(k(n)).\nAnswer: -18*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -4 + -1125130?\nAnswer: -1125134","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2*l**3*n**2*q - 22*l**3*n*q**3 - 3*l**2*n**2 + 26*n*q**3 wrt l?\nAnswer: 12*n**2*q - 132*n*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = -y**2 - y + 6. Let q = -3 - -3. Let s be i(q). Calculate the common denominator of (5*25\/(-2))\/s and 91\/18.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 55399 to the nearest integer?\nAnswer: 235","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = -13333*l**2 + 3. Let t(g) = -g + 1. Suppose 0 = -5*n - 4 - 11. Let h(v) = n*t(v) - z(v). Let m be h(6). Round m to the nearest one hundred thousand.\nAnswer: 500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = z**3 + 2*z**2 + 6. Let u be m(0). Suppose -u*g + 3760 = 1018. Is g a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 74\/5 of a kilogram?\nAnswer: 14800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1851?\nAnswer: 3, 617","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -16.5 + 21. Let i = 4.6 - r. Which is the closest to 3? (a) 4\/7 (b) -0.1 (c) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand c**4 + 2*c + c**4 - c + (0*c**2 - 2*c**2 + 0*c**2)*(-c + c - c**2).\nAnswer: 4*c**4 + c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -2000 + 2005. Sort s, 13, -4, 9.\nAnswer: -4, s, 9, 13","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(153) - sqrt(153) - (sqrt(68) + 1))**2 - (sqrt(68)\/sqrt(4)*-5 - (sqrt(153) + sqrt(17) + 3))**2.\nAnswer: -1317 - 50*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 32 a factor of 8928?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 390 and 9.\nAnswer: 1170","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = 2*y**2 + 114*y - 10. Give k(-57).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 - -3 - ((0 - -1) + -1) - -12?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*g - 0*g + 6. Suppose 8 + 139 = g*n. Let x = -30 + n. Calculate the remainder when 36 is divided by x.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*c**2 - 26381546 - 3*c + c**2 + 26381528 to h*c + x + n*c**2 and give h.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = c**3 - c**2 + 4*c + 2. Let i(b) = -b**3 + 2*b**2 - 7*b - 3. Let w(m) = 7*a(m) + 4*i(m). What is the remainder when w(2) is divided by 16?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = x**3 + 25*x**2 + 26*x + 44. Let o be q(-24). Let n(d) = -35*d + 21. What is the hundreds digit of n(o)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 78324003.\nAnswer: 3, 157, 2053","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 1613559421 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6, 3\/2, 44, 0, 2\/21, 0.8, 1\/6 in ascending order.\nAnswer: -6, 0, 2\/21, 1\/6, 0.8, 3\/2, 44","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 2\/4 - (-3)\/2. Suppose -s*h + 5*v + 57 = 0, -11 = 4*v + 9. Let p(a) = 10*a - 2. What is the lowest common multiple of p(3) and h?\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -416 greater than or equal to -410?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 19214702 to the nearest integer?\nAnswer: 268","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -103\/2590 and -25\/3626.\nAnswer: 18130","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express -77 + 140 - 342*r - 63 + 2*r + r - 4*r + 1 + r - 1 + (2*r + 2*r - 3*r)*(1 + 0 - 3) as w*r + v and give w.\nAnswer: -344","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-36)\/6 + 2\/(-1) + 2003?\nAnswer: 3, 5, 7, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 7? (a) 464\/3 (b) -2\/3 (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = 258*b + 778. Calculate w(-3).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 171191 + -1293.\nAnswer: 169898","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -17, 4, -323941?\nAnswer: -323941","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = -k**2 - 11*k - 8. Let c be d(-8). Suppose 100 = 639*l - 634*l + 5*h, 3*l = 2*h + 75. Suppose l*s - c*s = 1610. What are the prime factors of s?\nAnswer: 2, 5, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 2 and 11.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 636 minutes before 9:34 PM?\nAnswer: 10:58 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.38 - -0.08. Let z = -1.1 + 0.1. What is the nearest to z in 5, s, 1?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = -500*h - 25. Is z(-1) a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 1067 + -1566677?\nAnswer: -1565610","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((-1*sqrt(112) - sqrt(112))*-2)\/(-2*sqrt(648) - sqrt(648)))\/(-5*(sqrt(8)*6 + sqrt(24)\/(sqrt(12) + (sqrt(12) - sqrt(60)\/sqrt(5))))).\nAnswer: 4*sqrt(7)\/1755","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.04 - 0.26. Let d(n) = 0 + 1 - n + 0*n. Let h be d(2). What is the nearest to 0.1 in -0.1, h, q?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -4\/3? (a) -0.5 (b) 0.1 (c) -2.48 (d) -12\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) be the third derivative of -23*r**7\/210 + r**6\/120 + r**5\/3 + 3883*r**4\/24 - 2584*r**2. What is the second derivative of i(n) wrt n?\nAnswer: -276*n**2 + 6*n + 40","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 8087750.94 - 8088318.936943. Let s = q + 568. Round s to four dps.\nAnswer: 0.0031","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 17 - 17. Let j = -7 - -11. Which is the biggest value? (a) n (b) j (c) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = -2 + 10*p + 8*p**2 - 16*p**2 + 9*p**2. Suppose 17*f + 109 = -27. Let i be x(f). Round i to the nearest integer.\nAnswer: -18","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-1 + (-3)\/(-21))\/((-3)\/21). Suppose -12*u = -13*u + r. Suppose -u*x = -0*x - 25800. What is x rounded to the nearest 1000?\nAnswer: 4000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 4 and -0.06477?\nAnswer: 4.06477","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2)\/(12\/7)*4\/21.\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -4026644 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = -2*y. Let z(n) = -9788*n**2 + 4*n + 3. Determine z(o(t)).\nAnswer: -39152*t**2 - 8*t + 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -4.4 - -8.4. What is the smallest value in 36\/7, t, -1\/3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kwkk when four letters picked without replacement from {w: 7, k: 7}?\nAnswer: 35\/572","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round -13565547.543 to the nearest one million.\nAnswer: -14000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 213 + -127. What is the remainder when k is divided by 22?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 70 divide ((-5 - 95\/(-15)) + -3)\/(16\/(-77136))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((32\/1)\/4)\/2?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -35 - -53. Find the third derivative of 2*m - 13*m**4 + v*m**4 - 2*m - 2*m**2 wrt m.\nAnswer: 120*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 39*y + 795653 - 795653.\nAnswer: 39*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 269296557?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 4752 + 16?\nAnswer: 4770","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 8 in 1\/6, -198, 2\/9?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 85080547?\nAnswer: 797, 106751","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -4 + 1386774?\nAnswer: 1386770","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 a factor of 992745?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:23 AM and 7:26 AM?\nAnswer: 243","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = 5*j**2 - 6*j**3 - 5 - 5*j**3 - 928*j + 933*j. Let x(r) = 6*r**3 - 3*r**2 - 3*r + 3. Calculate -3*n(l) - 5*x(l).\nAnswer: 3*l**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 2, o: 6, t: 5, m: 2, p: 3}. Give prob of sequence pp.\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*m + 15*m + 2*m in the form y*m + x and give y.\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: (-5 - -7) + -8 + 11 + 0\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4*(-44)\/33 - -6.\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 297 and 858?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is -210369\/35 bigger than -6012?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-5632)\/(-704) - 164\/18?\nAnswer: -10\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: (0\/(-5))\/2 + -4\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.1959 - -0.5959. Let d = -2 - 8. What is the second biggest value in l, -4, d?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 100 + -101.16. Let d = b + 1.46. Let g(z) = z**3 - 2*z**2 - 2*z + 4. Let l be g(3). What is the third biggest value in 0.1, d, l?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = 2*r**2 - 2*r + 2. Let x(n) = n**2 + 1. Let q(b) = 5*t(b) - 15*x(b). Find c such that q(c) = 0.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 f when two letters picked without replacement from yyyfsffff.\nAnswer: 5\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -2241, -4482, -6715, -8940, -11157?\n\"Answer: 4*b**2 - 2253*b + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0.2 (b) -0.4 (c) 0.1 (d) 0.04 (e) 0.234\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 33\/2 (b) 1\/4 (c) 1\/636 (d) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*q**2 + 2*q**2 + 2*q**2 + (4*q**2 - 4*q**2 - 2*q**2)*(-3 + 3 + 2) + q - q - q**2 - 3*q**2 + 3*q**2 - 5*q**2 + (3 - 2 - 3)*(-q**2 - 2*q**2 + 2*q**2).\nAnswer: -6*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -309, -245, -19, 447, 1231?\nAnswer: 2411","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.087 and 95448.\nAnswer: 8303.976","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -44 - -56. Let z be (-6)\/p + 6\/4. Suppose 4*k + 4*n - 68 = 0, -2*n + z = -3*k + 52. What is the tens digit of k?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5568334 is divided by 78425?\nAnswer: 159","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1479376539?\nAnswer: 3, 857, 191803","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = 192*n - 99*n - 75*n. Let z(s) be the first derivative of -s**2\/2 - 2. Determine v(z(y)).\nAnswer: -18*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express -420*w + 957*w - 288*w as y*w + v and give y.\nAnswer: 249","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = -x**2 + 2*x + 1. Suppose -5*j = 5*l + 5, 28 + 3 = 4*l - 3*j. What is t(l)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h + 3 = h. Let d be (h + (-10)\/(-14))*-7. Suppose 0 = -2*b - 3*x, -2*b - 4*x = 3*b - 7. Solve 0 = d*w - b*s - 18, -5*w + 1 = 4*s + 2 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -440572 divided by 34.\nAnswer: -12958","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -525\/4 + 133. Let p = -18 - -19. Is f equal to p?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from swegj. What is prob of picking 1 g, 1 w, 1 j, and 1 s?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(76)*2)\/sqrt(4) + 5.\nAnswer: 5 + 2*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) be the third derivative of 0*c**6 + 3*c**2 + 1\/112*c**8 + 0*c**3 + 0 + 1\/6*c**4 + 0*c + 0*c**7 + 0*c**5. Find the second derivative of a(j) wrt j.\nAnswer: 60*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 262075*c**2*d**2 - 215194*c**2 wrt d.\nAnswer: 524150*c**2*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = 2*i**2 - 2*i + 3. Suppose 21 = 28*l - 21*l. Determine s(l).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -120971321.9 - -6303186.9. Let f = -114668204.0000114 - b. Let t = f - -69. What is t rounded to 6 dps?\nAnswer: -0.000011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-144)\/(-48) + (-12)\/(-6 - (0 + -7))\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 275 + -275. Suppose m = 15*o - 16*o - 3*z + 126, -3*o = 3*z - 366. Which is bigger: o or 121?\nAnswer: 121","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 272, -1, 1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (6\/(-9))\/((-3*(-51)\/(-27))\/1). Which is the third biggest value? (a) -2 (b) -74 (c) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 307089038?\nAnswer: 2, 31, 4953049","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 q and 1 k when three letters picked without replacement from {q: 5, k: 11}?\nAnswer: 11\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Divide -253 by -2.\nAnswer: 253\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -210*j - 116 + 380 + 156 = 0. Factor -6 + 6*c + 3\/2*c**j - 3\/2*c**3.\nAnswer: -3*(c - 2)*(c - 1)*(c + 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (8\/(144\/27)*(-5)\/(-75))\/(3\/(-85)).\nAnswer: -17\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 601 + -598. Suppose 15 = j*f, 3*x + 0*x - 1555 = 4*f. Does 75 divide x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*x**4 - 28*x**3 + 222*x**2 - 360*x.\nAnswer: -2*x*(x - 3)**2*(x + 20)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = -b**2 - 3. Let s(o) = -1114898*o. Determine s(j(r)).\nAnswer: 1114898*r**2 + 3344694","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2 + sqrt(1872)*2 - (sqrt(1872) + 6*(sqrt(1872) + -1))) + -5)**2.\nAnswer: -360*sqrt(13) + 46809","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5\/6, 3\/2, -4, 0.3 in ascending order.\nAnswer: -4, -5\/6, 0.3, 3\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = 27*f - 50*f + f**2 + 23*f. Suppose -5*j = 4*m + 40 - 8, 4*j + 19 = -m. Let w = m + 5. Determine r(w).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m - 22 + 24 = 0. Solve 0*t - d = -t - 5, 2*t + 2*d = m for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 x, 1 a, and 1 h when three letters picked without replacement from {h: 1, a: 4, x: 9}?\nAnswer: 9\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 4, -23, -66, -131, -224, -351, -518?\nAnswer: -731","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -5236, -4933, -4630, -4327?\n\"Answer: 303*q - 5539","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -22439887 + 22439869.8853456. Let v = 0.1146344 + w. Let t = v + 17. Round t to 5 decimal places.\nAnswer: -0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -10470*p*v*z**2 - 402*p*z**2 + 10*v*z**2 + 30*z**2 - z wrt v.\nAnswer: -10470*p*z**2 + 10*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -205147326*k = -205147223*k - 11433 for k.\nAnswer: 111","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 825 and 50.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2635815 is divided by 56.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 72 and 1\/2 - 17630\/(-164).\nAnswer: 216","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + ((-2*(sqrt(105) + sqrt(105) + -3*sqrt(105) + sqrt(105))\/sqrt(3))\/(5*(sqrt(28) - sqrt(1792))\/sqrt(4)))**2.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*c + 5*s - 91 = -8*c, 0 = -5*c - 5*s - 165. Let q = c + 31. Let g = -1013 + 12149\/12. Is q at most as big as g?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 4 + 724?\nAnswer: 728","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = 4*r + 12. Let v be g(-8). Let l be 5\/v - 10\/(-8). What is the units digit of 3 - 5 - -14*l?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 1 - 5)*(9*a - 2 - 9*a + 2*a**3).\nAnswer: -8*a**3 + 8","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express -15*h - 10*h - 568*h**2 + 25*h in the form y + b*h**2 + j*h and give b.\nAnswer: -568","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = -4*r**3 + 37*r**2 - 22*r - 157. Let c be m(17). Round c to the nearest one thousand.\nAnswer: -9000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = 2*h**2. Let x be k(1). Suppose 2*z + 5*f = -10, -2*z - f - x = -0. Is 4\/9 greater than or equal to z?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (4\/(40\/5))\/(2\/(-6))?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = 5*n - 24 - 2*n**2 + 12 + 12. What is d(4)?\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 31.32 + -31.29. Let k = -0.2 - -0.2. Which is the nearest to 2\/5? (a) 0.5 (b) z (c) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 11 by 1232.\nAnswer: 1\/112","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-6)\/(-4)*(-4)\/(-6))\/((-3320)\/189240).\nAnswer: -57","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1463*d + 744 = -817 + 98 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 815439.5us in nanoseconds?\nAnswer: 815439500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence srp when three letters picked without replacement from qqrosvorp.\nAnswer: 1\/252","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 9\/22 and -163\/270.\nAnswer: 2970","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s + 18 = 1. Suppose -2*i - 91 = s. Let j = 131 + i. What is j rounded to the nearest ten?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -31277.9 rounded to the nearest 10000?\nAnswer: -30000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Divide 567 by -6038.\nAnswer: -567\/6038","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -6035 (base 7) in base 15?\nAnswer: -93e","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h = -2*l + 26938, -l + 0*l - 20196 = -3*h. Is h a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -7825531416 + 7825863574.9963. Let w = 332134 - d. Let t = w + 25. Round t to four decimal places.\nAnswer: 0.0037","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-5*-1*sqrt(72))\/((sqrt(8) + -1*sqrt(8) - sqrt(8))\/sqrt(2)))\/(-4*2*sqrt(600) + ((sqrt(600) + sqrt(600)*-1)*-6 - sqrt(600))).\nAnswer: sqrt(3)\/18","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_test"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 28.2 (b) 0.2 (c) -0.2 (d) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 37036865 to the nearest integer?\nAnswer: 6086","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 1300382 a multiple of 342?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 10\/(-4) - -1 - -1. Let g = 679\/4 + -169. Suppose -u - 18 = -20. What is the second biggest value in g, u, v?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = -46*v - 258. Calculate b(-6).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 66.\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*t - 4*v - 116896, -2181*v = -t - 2176*v + 29240. Is t a multiple of 30?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 y and 1 v when two letters picked without replacement from yyyyyyvyyyvyyvyyvvy?\nAnswer: 70\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = -65*l**2 + 2*l. Calculate o(-1).\nAnswer: -67","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = -2 + 1 + 2*h - h + 2. Suppose 1 = -3*s + p, -s + 5*p = 16 + 3. Let d(i) = -4*i - 5. Determine s*d(l) + 5*z(l).\nAnswer: l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-37)\/(-5) - 2\/5. Let x = q - 5. Suppose 2 = a - h - 0*h, x*a = -4*h + 22. Solve 3*g + a = -2*g for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange w**2 - 2*w**2 + 98*w**3 + 520*w**3 - 84*w**3 + 417*w**3 to b + o*w**3 + j*w**2 + h*w and give h.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 1361744759 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5869 is divided by 477.\nAnswer: 145","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let 5*q**5\/3 - 2570*q**4\/3 + 15305*q**3\/3 - 33080*q**2\/3 + 30500*q\/3 - 10160\/3 = 0. Calculate q.\nAnswer: 1, 2, 508","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-60)\/(-40))\/((-105)\/28).\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 4392*44.774\nAnswer: 196647.408","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(40)\/(2*sqrt(4)) - (sqrt(120) - sqrt(120)*3)\/sqrt(12))\/(-5*(sqrt(50) - sqrt(200)\/sqrt(4)) - sqrt(450)\/(sqrt(9)*1)).\nAnswer: -sqrt(5)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:27 AM and 4:08 PM?\nAnswer: 581","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-3)\/9 - 121\/(-3). Let y = -25 + c. Suppose -i - y = -v, 0*i - 4*i = 3*v - 80. What is the remainder when v is divided by 12?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 441*j**2 - 836*j**2 + 398*j**2.\nAnswer: 3*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 7.1 + -7. Let n = h - 0.091. What is n rounded to two dps?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 17 a factor of 14790?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 59910526 and 39.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4 + -7)*(-4 - (-1808)\/456).\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4497?\nAnswer: 3, 1499","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1509, -11813, -39699, -93957, -183377?\nAnswer: -316749","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 234181 is divided by 39017?\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Add -0.06 and -307030.\nAnswer: -307030.06","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -1*18*475\/450?\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Total of 87 and 3577476.\nAnswer: 3577563","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -136*w - 76*w - 773 + 3953 = 0 for w.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 853904657, 1707809316, 2561713975, 3415618634?\nAnswer: 4269523293","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = -23*g - 80. Does 12 divide v(-40)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = 2*j**3 - 115*j**2 - 304*j + 191. What is f(60)?\nAnswer: -49","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 6 divided by -263\nAnswer: -6\/263","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -1292411*i**3*z**2 - 3*i**3 - 1048343*z**2 wrt i.\nAnswer: -3877233*i**2*z**2 - 9*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -8649422 - 56179317. Let t = c + 98728739. Round t to the nearest one million.\nAnswer: 34000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 21*v + 89*v - 12 = 208 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1000)*3)\/(1*sqrt(512)) + 1.\nAnswer: 1 + 15*sqrt(5)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 15320 or 15317?\nAnswer: 15320","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round 15474.59 to the nearest 1000.\nAnswer: 15000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round -1569938 to the nearest 1000000.\nAnswer: -2000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sum 5 and -164.7937990368.\nAnswer: -159.7937990368","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3478 - 3636 = -79*c. Let -12*w**c + 7\/2*w**3 + 49\/4 - 1\/4*w**4 - 7\/2*w = 0. What is w?\nAnswer: -1, 1, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w = 3*w + 3*c - 31, -2*c = -2. Calculate the remainder when 12 is divided by w.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:23 PM and 3:02 PM?\nAnswer: 39","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -0.3, -2\/13, 0.46?\nAnswer: 0.46","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1\/48 - 29\/144. Let m = -1076.7 + 1077. Let w be (1\/2)\/((-7)\/(-6)). Which is the nearest to d? (a) m (b) 0 (c) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f + 4*d + 4 + 0 = 0, 36 = 4*f + 4*d. Suppose -f = -2*v + 4. Let j(m) = m**2 - 7*m + 9. What is the units digit of j(v)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-3)\/(-42))\/(-1)*8\/2?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round -3750 to the nearest 100.\nAnswer: -3800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = 171*j**3 - 2*j**2 - 3*j - 2. Let x be k(-5). Let i = x + 428347\/20. Let f = 95\/2 - 56. What is the common denominator of i and f?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from nzntjz. What is prob of picking 2 n and 1 z?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = 2*l**2 + 50*l + 366. Let g be i(-9). What is the greatest common divisor of 91 and g?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = 10*r**2 - 17*r + 97. Let z be j(4). Calculate the greatest common divisor of z and 27.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(0 + sqrt(448) + 0 + 1 + -4*sqrt(448) + sqrt(448)) + -1 + 4.\nAnswer: -64*sqrt(7) + 7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -18, -19, -20, -21, -22, -23?\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 138 + -140. Let s = -0.18 + 2.18. What is the second smallest value in 2\/11, -0.5, s, f?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3*45)\/((-11817)\/3939)?\nAnswer: -45","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = -t**2 - 7*t + 4. Let g be z(-7). Suppose 2*r = x + 4, -12 - 7 = -3*r - 5*x. Factor 10\/9*y**2 + 0 - 2\/3*y - 2\/9*y**r - 2\/9*y**g.\nAnswer: -2*y*(y - 1)**2*(y + 3)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b + 7*b + 3*x = -15, -45 = 5*b - 5*x. Let m be (-292)\/(-20) - b\/(-10). Suppose -4*w - m + 22 = 0. What is the highest common factor of 14 and w?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(60) + (sqrt(2160) - sqrt(60)))*4 + (sqrt(3840) - (sqrt(3840)*4 - sqrt(3840))))\/(sqrt(108)*4*3*-3).\nAnswer: -2*sqrt(5)\/27","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-7 - -3) + 9 + (1 - 1).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*r - 10*r + 92. Suppose s + 41 = 4*x, 6*s + r = 2*x + 3*s. Solve 5*n = -x + 5 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 85 is divided by 20?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 54\/(-72)*(-4)\/(-6)*12. Let r(d) = d**2 + 2*d - 2. Determine r(v).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = -p**3 - 2*p - 3. Let x be m(-2). Let j be 1\/1*x + -1. What is the greatest common factor of 72 and j?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -77777, -77787, -77797, -77807?\nAnswer: -77817","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (6 - (57 - 30)) + 3 + -36.\nAnswer: -54","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -362*q*r**2*v - 172*q*r*v + 660*r**2*v + 1365*r**2 wrt q.\nAnswer: -362*r**2*v - 172*r*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = 18*i**2 - 219*i + 4. List the prime factors of p(-20).\nAnswer: 2, 181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g - 7*g = 0. Let a(c) = -1 + g*c**2 + 2 - 4*c**2 + 2*c**2. Calculate a(-2).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in one sixth of a hour?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 784\/126 + (-18)\/3. Let n be 7\/(3 + (0 - 2)). Let h = n - 15\/2. What is the smallest value in h, d, 2\/15, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00000012394 to seven dps.\nAnswer: -0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 17275897979 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = -2*p**2 + 62*p + 160. Determine w(33).\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = 6*a**2 - 66*a - 599. Determine c(-12).\nAnswer: 1057","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 + 12 - (23 - 12)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = -v**2 - 5762*v - 68827. Give b(-12).\nAnswer: 173","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 774 + -774.2. What is the nearest to 8 in b, 2\/19, -4, 0?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -38 + 28. Let s(g) = g**2 - g - 30. Let q be s(f). Calculate the greatest common divisor of q and 40.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = k**3 + k + 6. Let q(a) = 2*a**2 - 3*a + 1. Let n be q(2). Suppose 5*p - 20 = -3*d, -2*d + n = p - 1. Give x(d).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 150 + -150. Suppose y = 38*d - 41*d + 681. What are the prime factors of d?\nAnswer: 227","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = 68*b. Let i(q) = 41*q**2 - 17. Let w(t) = 7*t**2 - 3. Let k(h) = -6*i(h) + 34*w(h). Determine f(k(j)).\nAnswer: -544*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = 2*t**2 - 2*t + 421. Let a(q) = -2*q**2. What is p(a(d))?\nAnswer: 8*d**4 + 4*d**2 + 421","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 10\/(-34 + 14)*2\/(-4). Let p(v) be the first derivative of 0*v**2 + u*v**4 + 21 + 0*v + 1\/5*v**5 - 2\/3*v**3. Suppose p(g) = 0. What is g?\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 n, 1 i, and 1 x when four letters picked without replacement from nixnroxfifioix?\nAnswer: 12\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2\/(-5)*(7 - 1475\/175))\/((-94)\/7).\nAnswer: -2\/47","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 143\/3984 and 143\/4482.\nAnswer: 35856","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9 + 8 + -14 - 0.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 78 (b) 0.04 (c) -1\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 170 and 816?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 73, 362, 839, 1504?\nAnswer: 2357","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 4 + 124270?\nAnswer: 124274","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*c**4\/9 + 17726*c**3\/9 - 5750904*c**2 + 5327125920*c + 598757049216.\nAnswer: -2*(c - 2988)**3*(c + 101)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 12734896 to the power of 1\/7, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z*z\/(((z\/(z*(z**0\/z)\/z))\/z)\/z))\/z**(-1)*z**(-6)\/z**(-8) assuming z is positive.\nAnswer: z**5","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 24 - r**2 - 24 + 2*r**2.\nAnswer: r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 0.2, 1, -0.007, -4\/5?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 99\/2 and -53\/1389.\nAnswer: 2778","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 3237809, 3237765, 3237721, 3237677, 3237633, 3237589?\n\"Answer: -44*v + 3237853","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -68*h + 10*h + 232 = 0 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.13 - 243.7.\nAnswer: -243.83","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 2308648, 2308644, 2308640, 2308636, 2308632, 2308628?\n\"Answer: -4*w + 2308652","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00009413 rounded to six decimal places?\nAnswer: -0.000094","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = 2 - 4*j + j**3 + 4*j**2 + 1 - 7. Let f be w(-4). Let g(s) = s**3 - 10*s**2 + 29*s + 16. Let t be g(7). What is the highest common divisor of f and t?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-5489)\/998 - (1\/(-2) + 0)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) be the second derivative of -h**5\/60 + 3*h**4\/8 - 3*h**3\/2 - 49*h**2\/2 - 85*h. Let r(u) be the first derivative of n(u). Calculate r(6).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 53\/1392 and 79\/32?\nAnswer: 2784","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8 (base 14) to base 2.\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -8087.6 - -8088. Put b, -0.5, -0.3, -117, 5 in increasing order.\nAnswer: -117, -0.5, -0.3, b, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 1520 - -5?\nAnswer: 1525","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence lv when two letters picked without replacement from lvwlwwcl.\nAnswer: 3\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_test"},"subset":"dm_maths"} +{"text":"Question: Round 10476744 to the nearest 1000000.\nAnswer: 10000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = h**2 - 5 + h + 12 - 6. Let v(p) = -p**3 + 13*p**2 + 9*p - 11. Let x(i) = -5*q(i) + v(i). Is 16 a factor of x(8)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*x + 237 = -22*q + 19*q + 270, q - 20 = 2*x for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 17, 63, 191, 443, 861, 1487?\n\"Answer: 7*u**3 - u**2 + 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -1446 and 6.\nAnswer: -8676","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = -v**2 + 12*v - 15. Let x be s(10). Suppose x*u - 684 = u. What is the highest common divisor of 19 and u?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1082 and 2006.\nAnswer: 1085246","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -7, -11, -29, -61, -107, -167?\n\"Answer: -7*p**2 + 17*p - 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 284 is divided by 74.\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 26\/5 of a centimeter in millimeters?\nAnswer: 52","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = 26*z**2 + 24*z - 134. What are the prime factors of s(4)?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*k + 56 = 2*k. List the prime factors of k.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 646532.1kg?\nAnswer: 646532100000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = -t - 8. Let s(b) = -2*b - 9. Let m(x) = -3*i(x) + 2*s(x). Let v(j) = j - 5. Let r(h) = 4*m(h) + 5*v(h). Determine r(-4).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -81*t**2 - 101*t**2 - 20*t**2 - 11*t**2 as q*t**2 + x*t + l and give x.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -350, -348, -346, -344, -342, -340?\n\"Answer: 2*c - 352","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 22.5 - 22. Which is the nearest to 0.1? (a) x (b) 4 (c) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3 - (-14 + (23 - 20))) + -22 + -1 + 0?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 4 in -1\/2, 658, 21, 0, 1\/21, 2\/5?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve p + p + 3 = -a, 4*p + 4*a + 16 = 0 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -b - 64 = 31*b for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*p + t - 5*t - 79 = 70 - 115, 0 = -42*t - 42 for p.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 25\/1500*12 + 39\/5. Let s(p) = p**3 - 5*p**2 - 13*p + 9. Calculate s(i).\nAnswer: 97","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -1\/3, -1, -4, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -4 in -0.07, 5, -424651?\nAnswer: -0.07","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 2\/47, 2, -0.2?\nAnswer: 2\/47","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = o**3 - o**2 + 1. Let f be d(0). Calculate the greatest common factor of 9 and f.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-203 - 559 + 42)*(2*t + 3*t - 7*t) - 2 - 2*t - 2*t + 3*t to s*t + z and give s.\nAnswer: 1439","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 26052259 to the nearest integer?\nAnswer: 296","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round 6332963.085 to the nearest 100.\nAnswer: 6333000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 5769 + -1668745?\nAnswer: -1662976","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -3 - -15. Let n = z + 53. What are the prime factors of n?\nAnswer: 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = r**3 - 23*r**2 - 74*r - 101. Let j be p(26). Which is the biggest value? (a) j (b) -0.25 (c) -4\/9 (d) -2\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.0942 + -7.0942. Let o = 8\/5 - 62\/45. Which is the second smallest value? (a) o (b) 1\/7 (c) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-3 + (-5 - -5))*62\/6. Let w = o + 31. Solve w = 3*l + l for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 r and 1 t when two letters picked without replacement from jtjrjrttjjjttjj.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -189.84 + 195. Let l = 0.16 - t. What is the biggest value in -3, 5, l, -0.2?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-17197*h + 3 + 0 - 18539*h - 3 - 41666*h)*(-3*h + h - h).\nAnswer: 232206*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -535 - 441*y**2 - 477*y**2 + 535 + 920*y**2.\nAnswer: 2*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 108626028551 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put 636\/11485, 4, -5 in decreasing order.\nAnswer: 4, 636\/11485, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 56 and 1694?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 30844?\nAnswer: 2, 11, 701","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = 3*m**2 + 4 - 4. Let i(h) = 3*h + 1 - 1. What is j(i(b))?\nAnswer: 27*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 194568 (base 16) to base 2\nAnswer: 110010100010101101000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 584.99995515 - 585. Round j to 5 decimal places.\nAnswer: -0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = -20*l**2 + 2*l - 2. Let i be h(1). Let y = i - -23. Solve -3*b = -4*z + 8, y*z + 26 = 5*z + 4*b for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-11)\/(-15) + ((-6)\/(-10) - 1). Which is the nearest to 5? (a) -0.2 (b) l (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -44.6 - -1.6. Let n = 42.95 + s. Let i = n - 2.95. Put 0.4, i, -5 in decreasing order.\nAnswer: 0.4, i, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 4*k**2 - 1)*(-k**3 + 24*k**2 - 44*k**2 + 60*k**2).\nAnswer: -4*k**5 + 160*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*d + 2 + 11*d**4 + 14*d**4 - 27*d**4 + d**3 - 2*d**2 to the form v + y*d**3 + i*d + b*d**4 + r*d**2 and give i.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2277 to the nearest integer?\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20*s = 15*s + 450. List the prime factors of (-8)\/6 - (-90930)\/s.\nAnswer: 1009","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v + 9 = 6, 0 = u - 4*v - 46. Suppose -2*c + o = -389 - 26, 0 = 2*o - 2. Calculate the remainder when c is divided by u.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = -g - 1. Let a be d(2). Let w = 2079\/830 - 2\/415. What is the nearest to -0.1 in -1\/8, w, a?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*a - z + 1, -z + 0 - 5 = 0. Let g(f) = -7*f + 6 + 8*f - a*f + f. Let t be g(3). Solve 4*l - 4 = -d - 3, 0 = -5*d + t*l + 5 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1010 = 166*b + 1505 + 3665 + 958 for b.\nAnswer: -43","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 18741 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 91546651 divided by -1.\nAnswer: -91546651","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) be the second derivative of 0*n**2 + 0*n**3 - 1\/720*n**6 - 7\/120*n**5 + 0 - 2*n + 1\/6*n**4. Let t(f) be the third derivative of v(f). Give t(0).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -28*z + 4*z + 63 = -5*x, 13 = -3*x + 2*z for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 y and 1 e when two letters picked without replacement from xrxyyeiaxryrea?\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round 119.409 to the nearest ten.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t = -2*t - 3. Let k be (36\/(-5))\/(t\/5). What is the remainder when 19 is divided by 352\/k + (-2)\/(-9)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is thirteen fifths of a gram in milligrams?\nAnswer: 2600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = 27*b**2 + 6*b + 10. Let u be x(-8). Do u and 1690 have the same value?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*p**3 - 18*p**2 + p**3 + 9*p**2 + 15*p**2.\nAnswer: -p**3 + 6*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify j**6\/((j\/(j*j**(-2\/17)))\/j)*(j**6\/j)\/j*j**(-2) assuming j is positive.\nAnswer: j**(151\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 10044 + -5?\nAnswer: 10035","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = m**2 + 8*m - 3. What is i(-8)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) be the second derivative of l**3\/2 - l**2 - 7*l. Let c = -35 + 37. Determine u(c).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*l**4 + 98995*l**3 - 7*l**2 + 411987*l - 1.\nAnswer: 24*l**2 + 593970*l - 14","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 58\/33 - 12\/11. Let h = -266 + 266.2. What is the nearest to h in 0, -1\/2, n?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 + 3 + -13 + -135 + -56 + 107.\nAnswer: -95","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 6901053, 6901052, 6901051?\n\"Answer: -r + 6901054","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Total of 17200.164835 and 28341.\nAnswer: 45541.164835","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0\/(-2)*(-13)\/26.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 311340, 311336, 311332, 311328, 311324, 311320?\nAnswer: 311316","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = u**2 + u - 23. List the prime factors of c(-22).\nAnswer: 439","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = -c - 2*c + 10*c - c. Let n(q) be the first derivative of -q**4\/6 - 2*q - 1. Let m(r) be the first derivative of n(r). Calculate g(m(h)).\nAnswer: -12*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 4774169 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 131185567?\nAnswer: 83, 101, 15649","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*r - i - 14837, -9*i = -3*r - 7*i + 8905. What are the prime factors of r?\nAnswer: 3, 23, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = -68*p**2 + 680*p + 11. What is the remainder when 7864 is divided by d(10)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine y so that -y**4\/6 + 39*y**3\/2 - 115*y**2\/6 - 39*y\/2 + 58\/3 = 0.\nAnswer: -1, 1, 116","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 14 - 13. Calculate the lowest common multiple of 3 and r.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in u + 16 - 16.\nAnswer: u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ggeeejehehjmijhhhg. Give prob of sequence mh.\nAnswer: 5\/306","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = 33*l**2 + 3*l. Let z be t(-2). Let g(c) = -21*c**3 - c**2 - 2*c - 1. Let r be g(-1). Calculate the greatest common divisor of r and z.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(22) - sqrt(44)\/sqrt(2)*3)\/(1*sqrt(2)*4).\nAnswer: -sqrt(11)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d + 48 = -g, -261 = -5*d - 3*g - 53. Let k = d - 37. What is the units digit of k?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 964 at most as big as -1144?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 8134.9 + -8135. What is the nearest to 40 in 0, -1\/9, w, -0.3?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -105*p - 30*p + 44324145. Is p a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = 2*b**2 + 8*b + 7. Let m be h(-5). Let g = -12 + m. Solve 0 = -0*u - g*u + 25 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -5, 2\/15, 0.5, 266?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = 28*a**2. Let l(v) = -v - 150. What is l(b(j))?\nAnswer: -28*j**2 - 150","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 124*i + 145 + 228 = -1859 for i.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = t**2 - t - 5. Let o be a(3). Is o != 12?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -y + 58 = 57 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: (-19)\/(-80066)*-105 + 1\/14\nAnswer: 2\/43","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13443435659 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 331.6443 nanometers?\nAnswer: 0.00003316443","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-2)\/(-2 - -4)*1. Let o(s) = -s**3 + 4*s**2 + 4*s + 6. Let m be o(5). Let h = -578 + 575. Sort u, m, h in descending order.\nAnswer: m, u, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -17291, -34572, -51853, -69134, -86415?\nAnswer: -103696","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -36 + 34. Let g(c) = c**3 - 6*c**2 + 5*c - 1. Let q be g(5). Is q > t?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -104.1412 + 18461?\nAnswer: 18356.8588","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) be the third derivative of y**5\/15 + 7*y**4\/24 - y**3\/3 + y**2. What are the prime factors of d(3)?\nAnswer: 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 14176 (base 12) in base 3?\nAnswer: 1102020200","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-2)\/(-6) - 1) + 2. Let o = 15.5 + -15.2. What is the nearest to k in 0.4, 1\/6, o?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d - 2*f + 146 = 0, 5*d - 2880*f = -2884*f + 169. Solve 22*g = -d*g for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 72 is divided by 27.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -83\/54426 and 43\/163278?\nAnswer: 163278","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = l**3 + 2*l**2 - 4*l - 17. Determine x(-3).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -1.17+1279015701085\nAnswer: 1279015701083.83","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = -f**2 - 13*f + 31. Let a be (-46)\/4 + 1\/(-2). What is the tens digit of t(a)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = m**3 + 5*m**2 + 2*m + 6. Let f be k(-5). Let j = f + 6. Suppose -g = -j*g + 110000. Round g to the nearest one hundred thousand.\nAnswer: 100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = n**3 - n + 1. Let q(f) = 20*f**3 - 2*f + 2. What is -q(a) + 2*s(a)?\nAnswer: -18*a**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4 - 9 - 5662*w + 1326*w + 5 to the form y + i*w and give i.\nAnswer: -4336","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v - 23 - 1 = 0. Let n be v\/8*((-21)\/(-18) + -1). Is n not equal to -0.08?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 10724 to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -6806487*x + 14957856.\nAnswer: -6806487","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 250930 is divided by 50.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 168680581 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 113250181, 226500363, 339750545?\nAnswer: 453000727","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*i - 16*i + 1396 = 0. Suppose 2*a - 1602 + 192 = 0. Let t = i - a. Is t a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -389*s**2 + 2*s - 3*s + 388*s**2 - 16*s**3 in the form i*s**2 + r + m*s + x*s**3 and give x.\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1\/15384988 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = 5*j + 12. Suppose -t - 13 = -6. Let k be y(t). Let u = 25 + k. Which is the nearest to 0.1? (a) 3\/5 (b) -2\/17 (c) u\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 663?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y + 4*o + 10 = 0, -4*o - 28 = -4*y - 0*o. Suppose 3*r + y = 4*r. What is the second derivative of 13*c**3 + 2*c**4 - 13*c**3 + r*c wrt c?\nAnswer: 24*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = m. Let v(f) = 4*f**2 - 3. Let k(t) = -2*t**2 + 2. Let x(n) = 5*k(n) + 3*v(n). Give g(x(r)).\nAnswer: 2*r**2 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3 in -14\/3, 0.048, 2\/3, -1\/5?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:48 PM and 12:35 AM?\nAnswer: 107","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + a + 1)*(7*a + 21*a - a).\nAnswer: 27*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1492 to the nearest integer?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-20)\/(-11) - (-2)\/11. Suppose -11 = -3*t - o. What is the second derivative of z**3 - z + 0*z**t + 2*z**3 wrt z?\nAnswer: 18*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2*sqrt(140))\/sqrt(7) - (2 + sqrt(500))*5)**2.\nAnswer: 920*sqrt(5) + 10680","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = 2*b**4 - 13*b**3 + 17*b**2 - 8*b + 7. Let m(l) = -2*l**4 + 14*l**3 - 18*l**2 + 8*l - 8. Let v(i) = 5*m(i) + 6*t(i). Suppose v(h) = 0. Calculate h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*x + 11 = -3*u, 2*u - 7*u + 3 = -4*x for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 divided by -1914?\nAnswer: 5\/1914","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Total of -0.021 and 1.4.\nAnswer: 1.379","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-5)\/((-110)\/4) + 100\/55. Let f be 4 + k + -5 + 1. Suppose b = -f*m - b + 124, 4*b + 337 = 5*m. What is the units digit of m?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n - v = 35, n = 5*n - v - 67. Let a = -4 - n. Let s = a - -39. Is s composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2051, -2048, -2045, -2042, -2039, -2036?\nAnswer: -2033","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert -a300 (base 16) to base 2.\nAnswer: -1010001100000000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 29 - -16195.\nAnswer: 16224","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-245*m**3 + 7118*m**2 - 7118*m**2 + m)*(-5*m**2 - 7*m + 7*m).\nAnswer: 1225*m**5 - 5*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -76*p**3 + 92375*p - 92375*p - 2 + 2.\nAnswer: -76*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = 3*s. Suppose -6*q + q = 0. Suppose -i + 4*i - 15 = q. Let c(k) = -i*k + k + k. Determine c(z(t)).\nAnswer: -9*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 160561 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is -908 smaller than -908?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = -f**3 + 9*f**2 - 8*f + 3. Let i be -8 - (-6 + (-9)\/(-3)). Let x be (-4)\/i*(-70)\/(-7). Calculate the smallest common multiple of t(x) and 2.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -2 + 2.1. Let s be ((-1)\/3)\/((-4)\/36). Let p be (3 - 2 - s)\/(-17). What is the closest to -2 in c, 2\/9, p?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -78.741 - -79. Let s = 0.059 - d. Let y be (2\/(-6))\/((-25)\/(-10)). Which is the closest to -0.1? (a) -8 (b) y (c) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0 + 4*q + 0 - 30*q + 22*q.\nAnswer: -4*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 81005 - 27552 = 2781*u - 46663 for u.\nAnswer: 36","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20 = q - 115. Suppose -4*p - f + 82 = -75, 3*p = 5*f + q. What is the highest common divisor of 16 and p?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (2 + 9\/(-3))*(-12)\/6. Sort -3, -1, u in increasing order.\nAnswer: -3, -1, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -83656920 or -83656910?\nAnswer: -83656910","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -2 + 1.7. Put 1\/5, 3, q in decreasing order.\nAnswer: 3, 1\/5, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 224.45613 months in millennia?\nAnswer: 0.0187046775","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -39, -12, -3, -5 in increasing order.\nAnswer: -39, -12, -5, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = -i**2 + 7*i - 5. Let r be o(5). Suppose r*m - 3*j = 4*m - 3, -2*j = -4*m - 2. Let x = 6 + -11. Sort m, x, 5 in increasing order.\nAnswer: x, m, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -109409 + 85.5289.\nAnswer: -109323.4711","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 41654308 a multiple of 76?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*t = t + 102. Is (253\/(-3))\/((-76)\/12 - t) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o + 35 = -3*v - 2*v, o - 4*v - 21 = 0. Factor o*f**5 + f**3 - f**3 - 3*f**4 - 2*f**5.\nAnswer: 3*f**4*(f - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) be the second derivative of s**6\/10 + 367*s**5\/4 - s**4\/12 - 2101*s**3\/2 + s**2\/2 + 4593*s. Find the second derivative of p(n) wrt n.\nAnswer: 36*n**2 + 11010*n - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i**(-2\/5)\/i)\/i*i)**44*(i\/((i\/((i*i*i**(-2\/3))\/i*i*i))\/i))\/i**2*((i**(-1\/3)*i)**45)**(-32) assuming i is positive.\nAnswer: i**(-15304\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = -d**2 - 6*d - 1446. Let q(z) = 4*z**2. Give i(q(b)).\nAnswer: -16*b**4 - 24*b**2 - 1446","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 995993.\nAnswer: 131, 7603","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: (1*12\/(-100))\/(144\/(-160))\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 400 and 200?\nAnswer: 400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 160 and 2144?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-3)\/(-5))\/(24\/20). What is the biggest value in -0.1, -1.6, n, -1?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2148795530 to the nearest integer?\nAnswer: 46355","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (427\/(-7)*-3)\/1 - -1. Suppose -3*m - 9 = 0, 88 = c - 2*m + 18. Suppose 8*i - c - n = 0. List the prime factors of i.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -0.4, 1\/5, -3, 3, 2\/355?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 122667.\nAnswer: 3, 31, 1319","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -892 - 2*x - 892 - 1067 - 899 - 889 + 4639.\nAnswer: -2*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 1 (b) -0.5 (c) 3301\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from vjvjvv. What is prob of picking 3 v?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor -27*u**4\/2 - 21*u**3 - 3*u**2\/2 + 6*u.\nAnswer: -3*u*(u + 1)**2*(9*u - 4)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -7? (a) -4 (b) 3 (c) 0.2 (d) 8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/7, -90584, 3 in descending order.\nAnswer: 3, 2\/7, -90584","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 1aa - -450?\nAnswer: 60a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = -p**3 + 17*p**2 - 101*p - 34. Calculate j(0).\nAnswer: -34","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -a2 (base 11) in base 16?\nAnswer: -70","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = -5*j**3 - 2*j**2 + 4*j + 2. Give z(1).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00000079 to five dps.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 l, 1 q, 1 v, and 1 h when four letters picked without replacement from vlqqlvqhqvh.\nAnswer: 8\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l*l**(-1\/4)\/l)**(1\/21)*(l\/(l\/(l*l\/(l*l\/(l\/(l*l**(2\/3)*l))))))**12)\/((l*l**(-1\/2)\/l*l)**(2\/55))**(-17\/2) assuming l is positive.\nAnswer: l**(-91741\/4620)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 2 + 3. Suppose 0 = -o*v + v. Let l be (-1*20)\/((-41 - -1) + 38). Solve -4*t - s = 4*s + 6, 5*t + 5*s + l = v for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -0.4 (b) -0.0231 (c) 0.01\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + (sqrt(80))**2 + -3.\nAnswer: 75","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -3\/5 (b) -1 (c) 0.01\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = -6*s - 3. Let p(l) be the second derivative of l**3 + 3*l**2\/2 - 1263*l. What is 5*d(y) + 6*p(y)?\nAnswer: 6*y + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 138*g**2*k**2 - 375282*g**2*k + 194393597*g**2 + k**2 wrt k.\nAnswer: 276*g**2*k - 375282*g**2 + 2*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1218 - -1768. What is the hundreds digit of w?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2272 (base 9) in base 8?\nAnswer: -3225","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v + 34 = 10. Suppose n + 2*n = v. Let i = -12 - -17. Solve i*h = 25, -n*b - 4*h + 44 = 12 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 5\/838024 and -60\/8569?\nAnswer: 652820696","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -5b + acb1?\nAnswer: ac54","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -14327 (base 9) to base 4\nAnswer: -2120101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -s**3 + 2*s**3 + s**3 + (0*s + 2*s + s)*(-237*s**2 - 15 - 48318*s + 12 + 48311*s) to f*s**2 + b + c*s + d*s**3 and give c.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 157583736 to the power of 1\/3, to the nearest integer?\nAnswer: 540","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -27*i + 14*i - 50*i + 441 for i.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 90 and 12?\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 33002 (base 5) to base 10\nAnswer: 2252","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(2\/5))**(-7\/8)\/((n\/n**(-8))\/((n*n**(-3\/4))\/n)) assuming n is positive.\nAnswer: n**(-101\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-28)\/6)\/(272\/((-1326)\/39))?\nAnswer: 7\/12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/12 + (-12)\/(-80)?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from zupdv. Give prob of picking 1 z, 1 v, and 1 p.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 87*n - a + 149 = 92*n, 2*n = 2*a + 62. What is the remainder when n is divided by 13?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1 take away -5799?\nAnswer: 5799.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/3, -5, -14\/1377, 14, 2\/11 in increasing order.\nAnswer: -5, -14\/1377, 2\/11, 1\/3, 14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = 3*z**2 + 5*z. Give t(-4).\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2)\/((-24)\/4*(-26)\/117)?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2*c**5 + 10452*c**4 - 7*c**3 - 946008*c - 1 wrt c.\nAnswer: -40*c**3 + 125424*c**2 - 42*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i*i*(i\/i**(-1\/34))\/i*i*i**(-3\/11)*i)\/(i**(7\/4)\/(i\/(i\/i**(2\/31)))) assuming i is positive.\nAnswer: i**(48027\/23188)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = d**3 - 13*d**2 + 31*d - 97. Let w be p(11). Suppose -3*o = -w*j - 134, 5*o + 5*j + 43 - 283 = 0. What is the highest common factor of 2 and o?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10 = -3*n - 2*y + 7, 5*n - y + 5 = 0 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w*w*w\/(w*w*w**(7\/5)*w)*w*w*w**(1\/11)\/w)\/(w**(-4))**(-2\/15) assuming w is positive.\nAnswer: w**(-139\/165)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 44521 (base 8) to base 16\nAnswer: 4951","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 8*f*m*q**3 + 3*f*m + 8*f*q**2 + 585*m*q**4 - q**6 - 68*q**2 wrt q?\nAnswer: 48*f*m + 14040*m*q - 120*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*c**5 - 70*c**4 + 305*c**3 - 400*c**2 - 220*c + 560 = 0 for c.\nAnswer: -1, 2, 4, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 5219 - 2060. What are the prime factors of q?\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand y**4 + 0*y**4 + y**3 - 3*y**2 + 2*y**4 + (0 + 0 - 2*y**2)*(2*y - 2*y + 2*y**2).\nAnswer: -y**4 + y**3 - 3*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 162338.\nAnswer: 2, 11, 47, 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 12\/(-1) - (-4978)\/393.\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -12 - -17. Suppose 2*y = -i*f - 9 - 7, y - f - 6 = 0. Suppose 8 + y = 2*t. Which is greater: -0.6 or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z + 3*h = 0, -2*h + 10 = 3*z - 1. Let d be ((-27)\/4 + z)*(-16)\/12. Let m = 46 - 26. Solve 3*p - 8 = 7*p - 2*n, d*n - m = 2*p for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w**3 + 69031135*w**2 - 238264914484975*w + 238264845453845 = 0. Calculate w.\nAnswer: 1, 6903113","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 30887 is divided by 499.\nAnswer: 448","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-5967)\/63648)\/((-4)\/(-4)).\nAnswer: -3\/32","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p = 2*t + 1093, 14*p - 16*p + t = -729. What is the hundreds digit of p?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {o: 3, k: 17}. Give prob of picking 4 k.\nAnswer: 28\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 144 + (-51 - -20 - 67)\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 + 0 = -2*i. Let a(k) = -11*k + 2. Let s(b) = 6*b - 1. Let x(o) = i*a(o) + 5*s(o). What is the remainder when 6 is divided by x(-1)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3341.883l in millilitres?\nAnswer: 3341883","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8 + ((-20)\/4 - (-350)\/28).\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: (-7)\/21*(-48)\/(-20)\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 9\/10 of a kilogram?\nAnswer: 900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from aaeaaaaaaaaeaaaaaa. Give prob of sequence eaa.\nAnswer: 5\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 24*t - 18 = 27*t - x, 0 = 2*x - 6 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 41*a - 13*a - 21 - 35. Determine w, given that 4 + 6\/5*w - 2\/5*w**a = 0.\nAnswer: -2, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4927 - 4903 - 4*h + 9912)*(0*h**3 + 0*h**3 - h**3) to the form y*h**2 + l*h + k + g*h**4 + m*h**3 and give y.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = -m**3 + m**2 - 3*m + 11. Let w be t(2). Sort w, -48, 5, -4.\nAnswer: -48, -4, w, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*m**2\/5 - 4*m\/5 - 286\/5.\nAnswer: 2*(m - 13)*(m + 11)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert 937.051 decades to years.\nAnswer: 9370.51","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22*j + 18*j + 16 = 0. Suppose j*t = -6 - 26. What is the remainder when 192 is divided by (1 - 27)\/(t - 22\/(-3))?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 42969 and 9?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) be the third derivative of 109*t**7\/42 + t**6\/60 - t**5\/30 - 267*t**3\/2 - 619*t**2. Find the third derivative of f(h) wrt h.\nAnswer: 13080*h + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 13678\/13 + -1052. Which is the smallest value? (a) -2 (b) -3 (c) -4\/3 (d) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*j**2*q + 21705*j**2 + 38*j*q + 123*j + q + 2 wrt j?\nAnswer: 4*q + 43410","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-2)\/(0 - (-1)\/(-2)). Suppose 0 = c + j*c - 105. What is the units digit of c?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -21 - 1020221011002?\nAnswer: -1020221011100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1094, 1405, 1716, 2027, 2338?\nAnswer: 2649","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/3 in 0.3, -0.21, 0.1?\nAnswer: -0.21","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-9)\/15)\/(30\/(-25) - -1). Solve 3*r = -2*a - 5, m*r - 32*a + 27*a - 23 = 0 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (1 - 92\/90)\/(-3 + 4). Which is bigger: 1 or f?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*c + 2*c + 0*c)*(-c**4 + 0*c**4 + 2*c**4) + (c**2 + 0*c + 0*c)*(-3*c**3 - c**3 + 10*c**3).\nAnswer: 5*c**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = 97*b + 5. Let c(f) = -194*f - 9. What is 3*c(g) + 5*n(g)?\nAnswer: -97*g - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*n**2 + n**2 + 4*n**2 - 10*n**2.\nAnswer: -5*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Divide 20 by 44.\nAnswer: 5\/11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/8 of a day in seconds?\nAnswer: 32400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 22*s + 107 = -11 - 36 for s.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 13, 24, 37, 52, 69?\nAnswer: 88","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 5 + 11. Let d be 6\/((-4)\/(w\/(-6))). Find the third derivative of -n**d - n**2 - 8*n + 8*n wrt n.\nAnswer: -24*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 23023?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 4.24 less than -35?\nAnswer: -39.24","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 56914 to the nearest integer?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 157, 157, 147, 121, 73, -3?\nAnswer: -113","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j**(-7)\/j)\/j)\/j*j*j\/((j**(1\/6)*j)\/j)*(j**4)**(-2\/13) assuming j is positive.\nAnswer: j**(-685\/78)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = -3*l**2 - 74*l - 277. Give h(-5).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = g**2 - 15*g - 31. Let k be p(16). What is the units digit of k*3*(-36)\/27?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i\/i**4)\/(i*(i*i**(-1\/6))\/i))**(-1\/37) assuming i is positive.\nAnswer: i**(23\/222)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -15*j + 31 + 9 + 20 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p + 29 = -3*q, 0 = -127*q + 122*q + 4*p - 18. Solve 4*j - 307 = -q*u - 299, -j + 16 = 4*u for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l**0)**(-2\/27)*(l**(-2\/3))**(-1\/2))\/(l**(1\/9)*((l\/l**(3\/8))\/l)\/l*l*l*l**5\/(l\/(l**(-1)*l*l))) assuming l is positive.\nAnswer: l**(-389\/72)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -385197*b**5 - 224574*b**2.\nAnswer: -23111820*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put 472, 14, -1671 in descending order.\nAnswer: 472, 14, -1671","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = 2*q**2 + 436*q - 28. Let k(u) = 2*u. Calculate a(k(i)).\nAnswer: 8*i**2 + 872*i - 28","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in one quarter of a decade?\nAnswer: 30","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*v**2 - 1 + 190*v - 2*v**3 - 43*v - 50*v - 47*v + 8*v**4 - 43*v in the form o + c*v**2 + m*v + b*v**4 + r*v**3 and give c.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4*k + 2*k - k)*(6*k + 0 + 0) to the form a*k**2 + m*k + y and give y.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (25*(-12)\/(-8)*20\/75)\/((-37)\/111).\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 + 4*o - o - 3.\nAnswer: 3*o - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -91 + 235. What is the greatest common factor of 18 and h?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p = 4*v + 16, p - 2*v = 3*v + 27. Suppose 11 + 135 = 4*a - 2*o, -o = p*a - 79. What is the units digit of a?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -355*k + 2693 = 101*k - 5515. What is the remainder when 150 is divided by k?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/6 in -16\/7, -2\/7, -228.813?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6174 is divided by 1018.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = -f**2. Let j(i) = 233243*i. Determine j(a(x)).\nAnswer: -233243*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r = -4*i - 83, -6*i = -2*r - 7*i + 48. Suppose -3*m = -4*t - 50, -2*m + r = -0*t - t. Solve 0 + m = -5*c for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(3) - sqrt(48))*1)**2 - 4*(sqrt(12)\/sqrt(4))**2.\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 52731062?\nAnswer: 2, 31, 83, 10247","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 113713 + -1?\nAnswer: 113712","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -22*d**5 - d**4*i - 133*d**2*i + 2*d**2 wrt d.\nAnswer: -1320*d**2 - 24*d*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.116 minus 0.23?\nAnswer: -0.346","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = t + 1 - 2. Sort t, 2, 5, -3.\nAnswer: -3, t, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -343307588 by 17.\nAnswer: -20194564","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2128 = 240*z + 292*z. Solve 8*s**3 - 17\/3*s**z + 2\/3*s + 4\/3*s**5 + 0 - 13\/3*s**2 = 0.\nAnswer: 0, 1\/4, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5828\/5 > 0.413?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 371473 is divided by 604?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = 221*z + 6653. What is the remainder when 1179 is divided by m(-30)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 346 and -280760899079.\nAnswer: -280760898733","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2594 = -2*v - 2*q, 2*v - 5*q + 200 = 2759. Is v a multiple of 34?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-1163514)\/16104)\/(119\/(-8))?\nAnswer: 34\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 20911 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 + 16 - (-12 - (-20 + 8 + 0))?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Determine z, given that -2*z**5 + 756*z**4 + 33308*z**3 + 435648*z**2 + 1797030*z + 2307852 = 0.\nAnswer: -18, -17, -3, 419","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -1036 + 1206350?\nAnswer: 1205312","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1584 and 13943952?\nAnswer: 13943952","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of x**2*z**2 + 8*x**2 + x*z**2 - 48*x + 501*z**2 - 42*z wrt z?\nAnswer: 2*x**2 + 2*x + 1002","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.14916 + -9.\nAnswer: -9.14916","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*s + 302586381 = -833598098 - 396935521. Round s to the nearest 1000000.\nAnswer: -256000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.1 - 0. Let h be 1\/(3*2\/6). Which is the nearest to 0? (a) h (b) l (c) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t - 2*o = -2*t - 191, -t + 5*o = -92. What is t rounded to the nearest ten?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = -n**3 - 24*n**2 - 51*n - 95. Determine x(-21).\nAnswer: -347","meta":{"dup_signals":{},"source":"polynomials__evaluate_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r = -2*s - 22, -5*r + s - 3*s = -42. Suppose r*v - 5*v - 6 = 0. Suppose 5*b = 4*m + m - 225, -v*m - 4*b = -78. What are the prime factors of m?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1*-9*(-31)\/(-62)*2\/15?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.11 and 4.9.\nAnswer: -0.539","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-10 - -11 - (1 + 3)) + 4?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6393.\nAnswer: 3, 2131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.115612 rounded to 4 decimal places?\nAnswer: -0.1156","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Determine x, given that -x**3\/2 + 11473*x**2 - 66123542*x + 3537294732 = 0.\nAnswer: 54, 11446","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = h**2 - h + 2. Let m be j(0). Let n be (144\/(-40))\/(m\/(-180)). Does 12 divide (n\/(-42))\/((-9)\/42)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1548983692?\nAnswer: 2, 7649, 50627","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -1.008821 and -11?\nAnswer: 11.097031","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = -x + 3. Let v be g(7). Let d be (-3)\/12 + (-17)\/v. Is d < 4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = 16*y**2 - 5256*y - 2059. Give a(329).\nAnswer: 573","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((1\/(-5))\/(140\/150))\/((81\/372)\/9).\nAnswer: -62\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u = -10*u + 513. Suppose 15 = -h + u. Let z be 7\/h + 11\/6. Solve 0 = -5*n + 5*s - 10, -3*n + z*s = n + 12 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = k. Let w be x(9). Let b = w + -14. Let y = 15 + b. Does 10 divide y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a = 2*t + 2, -3*a - 3*t = -5*t. Suppose -5 = a*v - 5*k - 33, 0 = -2*v - 4*k + 28. What is the tens digit of v?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) -0.1 (b) -3\/4 (c) -1160\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -12112 (base 4) in base 8?\nAnswer: -626","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-2)\/(-6))\/((-2)\/(-12)). Suppose -s*v - 14 = -0*v. Let g(r) = -r + 3. Is 10 a factor of g(v)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 190631603?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 59077, 60095, 61113, 62131, 63149?\nAnswer: 64167","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-4)\/22 - 101\/(-11). Let f be 4\/6 - 474\/t. Let x = f + 70. Does 6 divide x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -13, 17, 67, 137, 227?\n\"Answer: 10*k**2 - 23","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = -15*v**3 + 23*v**2 - 44*v - 2. Determine o(2).\nAnswer: -118","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -2 + 3. Suppose -3*v - w + 4 = 0. Let g = -1\/41 - -85\/123. Which is the nearest to -1? (a) v (b) -1\/3 (c) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = -5*q**2 + 3*q. Let x(f) = 24*f**2 - 14*f. Let g(u) = 3*x(u) + 14*z(u). Let a(p) be the first derivative of -2*p**3 + 1. Calculate g(a(t)).\nAnswer: 72*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 91\/1*(-320)\/(-280)*6\/48\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find l, given that -l**5\/5 - 24*l**4\/5 + 2*l**3\/5 + 48*l**2\/5 - l\/5 - 24\/5 = 0.\nAnswer: -24, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is (-368)\/(-5) - (-10)\/25 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 15*v**2\/7 + 51*v\/7 - 36\/7.\nAnswer: 3*(v + 4)*(5*v - 3)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-213)\/30 + 7)*(1 + 3)?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = -s**3 - 6*s**2 - 2*s - 6. Let n(b) = 3*b**3 + 6*b**2 + 3*b. Let i(l) = -l**3 + l**2 + 2*l - 2. Let q be i(0). Let t be n(q). Determine z(t).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -42496720, -42496743, -42496766, -42496789, -42496812?\nAnswer: -42496835","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -84*s**4 + 83*s**2 + 1.\nAnswer: -2016*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = c**2 + 4*c - 6. Let g be ((-42)\/56)\/(1\/8). Let i be o(g). Let t(h) = -2*h**2 - 6*h + 5. Let x(p) = 2*p**2 + 5*p - 4. What is i*x(v) + 5*t(v)?\nAnswer: 2*v**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 68*b - 467 = 4753 + 1104. What is the remainder when 2601 is divided by b?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b*b\/(b*b\/(b**9*b))*b)\/b*b**(-4\/3) assuming b is positive.\nAnswer: b**(26\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = 7 + w**2 - 2 - 5. Let a(l) = -35*l. Determine p(a(y)).\nAnswer: 1225*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in thirty-seven halves of a day?\nAnswer: 444","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (15 - 15 + 7*z**4)*(-20*z + 55*z + 3*z)*(11 - 25 + 11).\nAnswer: -798*z**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*t - 2 = 15*t. Let y be t - (-2 - (-1 - -1)). Suppose -4*n + 456 = 4*w - 0*n, -2*w = -y*n - 210. Calculate the remainder when w is divided by 28.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -7\/9 + 44\/45. What is the second biggest value in -3, g, 0.4?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -164, -171, -196, -245, -324, -439, -596?\n\"Answer: -p**3 - 3*p**2 + 9*p - 169","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l + 5*s = 210, 0*l = 4*l + 2*s - 164. Let i = -35 + l. Let y be (8\/12)\/(i\/(15\/6)). Which is the smallest value? (a) -3\/4 (b) 0 (c) y (d) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 15*x - 257*x**2 - 437*x**2 - 15*x - 921*x**2.\nAnswer: -1615*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -697 divided by -4?\nAnswer: 697\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 52\/25 and 7\/69905.\nAnswer: 349525","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 9382, 18715, 28048, 37381, 46714, 56047?\nAnswer: 65380","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 - (-62 + 60 - (-3 + 19))?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -29345.72 - -28804. Let f = g + 550. What is f rounded to 0 decimal places?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) be the third derivative of 13*i**5\/30 - 115*i**4\/12 - 6*i**3 - 108*i**2 + 5. Solve c(j) = 0 for j.\nAnswer: -2\/13, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 34\/2*(-2)\/(-17). Is r at most as big as 0.0722?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) be the third derivative of s**9\/252 - s**8\/42 + s**5\/20 - s**4\/8 - s**2 - 16*s. What is the third derivative of f(r) wrt r?\nAnswer: 240*r**3 - 480*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 505 minutes before 4:07 PM?\nAnswer: 7:42 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -481052 or -481051?\nAnswer: -481052","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000000693984428 rounded to 7 dps?\nAnswer: 0.0000007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1.95 - -0.05. Let f = 4.5 - 4.97. Let t = f + 0.17. Which is the third biggest value? (a) i (b) 0 (c) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in twenty-one eighths of a litre?\nAnswer: 2625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = -75689*w + 75689*w + 105*w**2. Let s(c) be the third derivative of -c**4\/24 - 4*c**2. Determine h(s(o)).\nAnswer: 105*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 10394 is divided by 223.\nAnswer: 136","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from dyyyydyyy. What is prob of sequence ydy?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Does 492 divide 714122?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -230, -450, -658, -848, -1014?\n\"Answer: g**3 - 227*g - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 4969 >= -229?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_test"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1\/(24\/(-28))*((-1975)\/875 - -2)?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 408, 407, 404, 399, 392?\nAnswer: 383","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 2705, 5423, 8139, 10853?\n\"Answer: -a**2 + 2721*a - 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 23 + -93\/4. Let d = -0.082 - -0.052. Let z = -0.37 + d. Sort a, 2, z in descending order.\nAnswer: 2, a, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a\/a**18)**(-20)*(a**(-1)*a)\/a**(-2) assuming a is positive.\nAnswer: a**342","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m = 4*m + 9. Let w(t) = -17*t - 2. Let x be w(m). Let j = x - 16. Does 11 divide j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find i such that -2*i**2 + 82*i = 0.\nAnswer: 0, 41","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 + 1 - (1 + -11 + 3)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1)\/13*22\/550*125.\nAnswer: -5\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1240 and 744?\nAnswer: 3720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -13 + 4. Let g be 2\/3 + (-12)\/h. Find the third derivative of m**4 + g*m**2 - 4*m**2 + 0*m**2 wrt m.\nAnswer: 24*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14 = -5*r + 6. Suppose 4*k = 3*f - 62, 4*f - r*k = 67 + 13. Let x = f - 2. What is the remainder when x is divided by 9?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = -f**3 - 12*f**2 - 73*f - 113. Give g(-3).\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 260*x + 335445 = 355*x. Is 27 a factor of x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 365783990 and 10.\nAnswer: 365783990","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(((sqrt(70)*-2 + sqrt(70) - sqrt(70) - sqrt(70))*5)\/(sqrt(90) + 2*sqrt(90)) + 2).\nAnswer: -2 + 5*sqrt(7)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -610 + 606. Put 6, y, -10, -1 in ascending order.\nAnswer: -10, y, -1, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = -2*t + 3. Let l be (6 + -15)*2\/(-6). What is a(l)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 74 is divided by (6 + 72\/(-16))*26?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4\/26 - ((-1476)\/(-78))\/6?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = -l + 3. Let t be c(3). Solve 2*g + t*g - 8 = 0 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21*c = 7793 - 1745. Does 24 divide c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 94 divided by -47\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {i: 7}. Give prob of sequence iii.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 50\/(-625) + 72\/(-24) + (-2988)\/(-1100)?\nAnswer: -4\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0080842 to 3 decimal places.\nAnswer: -0.008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) be the third derivative of 3*t**7\/70 - 347*t**6\/120 - t**5\/30 - 3505*t**4\/24 - 3*t**2 + 2*t + 284. What is the second derivative of n(r) wrt r?\nAnswer: 108*r**2 - 2082*r - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:24 PM and 9:07 PM?\nAnswer: 283","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 0, -0.3, 4?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (2 + 0 - 55)*3. Let l = 481\/3 + w. Suppose 7*a = 2*a + 5*s - 25, -3*s + 15 = 3*a. Which is bigger: l or a?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 218 is divided by 38?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9949139 divided by -9949139.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: (33830\/(-8955))\/((-6)\/(-54))\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:47 PM and 5:04 PM?\nAnswer: 137","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 3f (base 16) to base 9\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -111645 (base 11) to base 10\nAnswer: -177798","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*t + t - 2*d + 22, 5*d = 15 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 1051 smaller than 1052?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 2\/3, 0.1, -5, 0.003, 1\/6?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*o + 0*o + o)*(25 - 2*o - 25)*(2 - 2 + 6) in the form g + b*o + k*o**2 and give k.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 77\/(-308) + 13\/4.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c - 2*c + h + 15 = 0, -2*c - 3*h + 6 = 0. Solve 0 = -x - 0 - c for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 (base 5) in base 11?\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 11\/12, 7.9, -0.1, -4 in descending order.\nAnswer: 7.9, 2, 11\/12, -0.1, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -3 (b) 1410 (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 259637 to the power of 1\/10, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -5 times -1.3\nAnswer: 6.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 9 - 5. Suppose -38 = 5*g - u*q, 4*g + 5*q + 0*q = -55. What is the units digit of g\/35 - 79\/(-7)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 100319 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x - 7*x - 9*x = -157472. What is the thousands digit of x?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*p + 4*z + 4 = 12*p, 0 = 18*p + 3*z - 57. Calculate the smallest common multiple of p and 430.\nAnswer: 860","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -51*n + 54*n - 5*h - 37 = 0, -11*h - 17 = -2*n. Which is smaller: n or 62\/5?\nAnswer: 62\/5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in 0.3, 2, -2\/11, 7\/8, -1.2, 0.5, -2.23?\nAnswer: 7\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = 30*j + 119. Determine n(-5).\nAnswer: -31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -10\/9, -1\/3, -3\/7, 4\/5 in decreasing order.\nAnswer: 4\/5, -1\/3, -3\/7, -10\/9, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 46\/1218375 and -66\/11875.\nAnswer: 6091875","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9 - (-8 + 22) - -36.\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bg when two letters picked without replacement from {b: 1, i: 1, g: 2, x: 2, l: 2}.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Product of 2.064 and 1171.\nAnswer: 2416.944","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Product of 4 and 181.\nAnswer: 724","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -14 + 14.2. Suppose 0 = 3*h + 2*h. What is the closest to h in -1\/7, -0.1, c?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -385*q - 325600 = -197*q - 204*q. Is q a multiple of 37?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) be the second derivative of -5*l**3\/3 - l**2\/2 + l. Suppose -2*b - 5 - 13 = -5*s, 3*b - 4*s = -13. Determine c(b).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -159*y + 215*y - 458*y - 1 + 1571*y**3 + 2*y**2 - 743*y wrt y?\nAnswer: 9426*y + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 148 divide 10804?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.61007448 to one decimal place.\nAnswer: 0.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -66*i*k*x - 96*i*k + 441*i*x + 98*k + 4 with respect to x.\nAnswer: -66*i*k + 441*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is (439190\/(-4748))\/((-5)\/2)?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rgr when three letters picked without replacement from {g: 1, r: 4, o: 2}?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -18*p + 12*p - 24 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 27 = -0*z - 3*z. Let n be z\/(-54) + 22\/12. Let m(k) = -4*k**n - 7*k + 7*k + 6*k**2. Let o(j) = -j. Give o(m(v)).\nAnswer: -2*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 264 and 4136?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -4 and -197.2?\nAnswer: 193.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 24510?\nAnswer: 2, 3, 5, 19, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0.07, 1\/57, -0.1, 65, -17, -1\/5?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h**2 + 65488*h + 1243550 = 0. Calculate h.\nAnswer: -32725, -19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) be the second derivative of y**8\/840 - y**6\/180 - 7*y**3\/6 - 5*y. Let c(h) be the second derivative of a(h). Factor c(m).\nAnswer: 2*m**2*(m - 1)*(m + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in six fifths of a centimeter?\nAnswer: 12","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = 10*w**2 + 6*w**3 - 2*w**3 - 3*w**3 + 14 - 10*w. Let m be y(-11). Suppose -10*l - m = 17. Which is greater: l or 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:33 PM and 11:46 PM?\nAnswer: 253","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(-5)*m*m\/m**(-5\/6))\/(m**(3\/5)\/m)**31 assuming m is positive.\nAnswer: m**(307\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = p + 10. Let f be h(-7). Suppose -f*d - 2 = -4*d. Let l(m) = -3*m + 0 - m**3 - 4*m**d + m - 1. Calculate l(-3).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -a8b (base 16) in base 5?\nAnswer: -41244","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 91 and 49?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -209.2 - -208.2. What is the biggest value in m, -3, -7, 5\/2?\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -a5b514 (base 12) in base 11?\nAnswer: -1524273","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-128 + 128 - 23*s)*(2 - 2 - s**2)*(39*s**2 - 120 + 120).\nAnswer: 897*s**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert 98 (base 15) to base 4.\nAnswer: 2033","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = f**2 - 3*f + 4. Let j(q) = 2*q**3 + q**2 + q - 1. Let o be j(1). Let n be z(o). Solve -2*u + n + 0 = 0 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (2*1\/4)\/(-1). Let y be (-76)\/14 - (-39)\/91. Let h = -0.8 - -0.8. What is the closest to b in 1, y, h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*x + 15 + 12. Let i be x\/(-2) + (-1)\/2. Suppose -4*f = -8 - 12. Put i, 4, f in descending order.\nAnswer: f, 4, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -36*v - 4*n + 25 = -31*v, -2*v = -2*n - 10 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 1105 <= 2207\/2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 202750923 - -23189059. Let q = f - 225940005.9999978. Let j = -24 - q. What is j rounded to six decimal places?\nAnswer: -0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1360506 is divided by 3092.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1230645.\nAnswer: 3, 5, 13, 6311","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -10 and -6470?\nAnswer: 64700","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 106 is divided by 36.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 356 is divided by 143?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -86 - -89. Suppose 60 = 5*o + 3*p + 2*p, 4*p = -2*o + 24. Calculate the least common multiple of l and (-9 + -2)\/((-4)\/o).\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-11 - -14 - 0)\/(7\/(-21))\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 0.053, 3143, -2?\nAnswer: 0.053","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = -3*y**3 + 29*y**2 - 7*y - 60. What is the remainder when 47 is divided by d(9)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) -0.193 (b) 1\/6 (c) 0.08 (d) 7\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = j - 24. Determine o(-8).\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1697\/3 - 566. Suppose -3*o = 2*z + 440, -4*z = -4*o + 3*o - 156. Let n = o - -743\/5. Which is the second biggest value? (a) -0.2 (b) n (c) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 660690 to the power of 1\/2, to the nearest integer?\nAnswer: 813","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) be the first derivative of 694*b**3 + 794*b + 868. Differentiate t(d) wrt d.\nAnswer: 4164*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*h**3\/3 - 622*h**2 + 141600*h + 4901248\/3.\nAnswer: 2*(h - 472)**2*(h + 11)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j = -j + j. Suppose 0 = -s + 9 - 3. Solve j = 4*l - 2 - s for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = -k**3 - k**2 + 1. Let g be 8\/(-6)*(3 + 3 + 81\/(-18)). Let o(h) = 49*h**3 + 2*h**2 - 2. What is g*n(s) - o(s)?\nAnswer: -47*s**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -6905, -27432, -61643, -109544, -171141, -246440?\n\"Answer: -m**3 - 6836*m**2 - 12*m - 56","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 176417.1 to the nearest 1000.\nAnswer: 176000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = -1. Let m(x) = 6*x**3 + x**2 + x + 1. Let g(u) = -2*k(u) - m(u). Give g(1).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 16238?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 11988 and 592?\nAnswer: 148","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 3\/32 of a millimeter?\nAnswer: 93750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(272) - sqrt(272))*-6 + -4*(2 + sqrt(17)*-1).\nAnswer: -8 + 4*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = -112*f + 46. Suppose 5*b + 19 = -2*a, -4*a - 53 = -8*b + 3*b. Let s be i(a). What is s rounded to the nearest 1000?\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8 - (-14 - -36) - -25?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 152 minutes before 9:26 AM?\nAnswer: 6:54 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is -67 at most as big as -67?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.919342 - -40.224919.\nAnswer: 41.144261","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 156 - 89. Let j = 28 - 75. Let q = v + j. What is the units digit of q?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -65224245 divided by 1144285.\nAnswer: -57","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 24\/(-14)*(-1 + -20) is divided by 25?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 557880.\nAnswer: 2, 3, 5, 4649","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = w**3 - 11*w**2 + 38*w - 7. Let s be a(6). Suppose 50 = y + s. Calculate the highest common divisor of 288 and y.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 2458611 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 232229*k**3 + 2*k**2 + 190334*k + 2.\nAnswer: 1393374*k + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: (-17)\/6 - 8\/48\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = 3*h**2 - 7*h - 83. Let r be i(-8). Suppose -190*j = -193*j + r. What is the highest common divisor of j and 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 11\/18 and 67\/10284?\nAnswer: 30852","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (46476\/39)\/(-2) - 24\/156. Are s and -596 non-equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in -1\/3, 0, 2, -17?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*t - 44*t**3 + 243*t**3 + 495*t**3 - 3*t**4 + 2*t**4 - t**2 to the form x*t + h*t**2 + d + p*t**3 + c*t**4 and give c.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f + 3 - 15 = -3*v, 3*f - 21 = -4*v. Suppose -f*q + 0*q + 4*d + 9 = 0, -4*q = -3*d - 12. Factor -5*k**2 - 14*k + 7*k**2 + 2*k**q + 8*k**2 + 6 - 4*k**3.\nAnswer: -2*(k - 3)*(k - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(2268) + (sqrt(2268) - (1*sqrt(2268) + 0)) + 2 + -2 + 0 + sqrt(2268) + sqrt(2268) + 0)**2*1.\nAnswer: 20412","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = -l - 5. Let b be 0 + (-3 - -2*(0 - l)). Suppose b*s - 2*p = 1141, 0*s + p = -s + 382. Is s a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 10351 - -32?\nAnswer: 10403","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor o**4\/3 - 5*o**3 + 13*o**2 - 37*o\/3 + 4.\nAnswer: (o - 12)*(o - 1)**3\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 4861 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 - (-10 + 7 + (1 - 2) - -5).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(5 + sqrt(112) + (sqrt(21)\/sqrt(3) + -3)**2 - (((sqrt(168)\/sqrt(4))\/sqrt(6) - (sqrt(7) + sqrt(7) + 0 + 0)) + -3)**2)*-4.\nAnswer: -40 + 64*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 95927\/6486 - (-28)\/(-2) and 17\/138.\nAnswer: 138","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = 2*y**2 + 20*y - 13. Let f be l(-11). Suppose 2*u = 2*c + 70194, 3*u - 105303 = -10*c + f*c. What is u rounded to the nearest ten thousand?\nAnswer: 40000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2001110021 (base 3) to base 8\nAnswer: 116752","meta":{"dup_signals":{},"source":"numbers__base_conversion_test"},"subset":"dm_maths"} +{"text":"Question: 17776 divided by 4\nAnswer: 4444","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -2391.1809 + 2391. Sort 2, 0, 1\/5, h in increasing order.\nAnswer: h, 0, 1\/5, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 41445, 41025, 39871, 37611, 33873, 28285, 20475?\nAnswer: 10071","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 1100 + -12012323?\nAnswer: -12011223","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3722762?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 403\/1612 + (-191)\/68. Which is bigger: 1\/2 or p?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -187.309267 and -0.3.\nAnswer: -187.609267","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 3565245 to the power of 1\/7, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -777.2 - -777.4. Let q = -3.6 - -4. Which is the third smallest value? (a) 0 (b) q (c) 2 (d) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -23\/490284 and 7\/7354260?\nAnswer: 7354260","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0350794879 to three decimal places.\nAnswer: -0.035","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d - 24*d + 17986 = -2*d. Is d a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = -n - 16. Let d(m) = -1. Let s(v) = -5*d(v) + z(v). Let c be s(-5). What are the prime factors of (-423)\/c*12\/9?\nAnswer: 2, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 30 + -29.15. Let a = 0.15 + q. Is -0.02 != a?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = -3*v - 11*v - 2 - 7*v. Is p(-4) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 2\/3 (b) 91.9 (c) 6255\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -124 - -117. Let v(h) = -20*h - 41. What is the tens digit of v(l)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 23 and 6139137.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 42 minutes after 6:19 AM?\nAnswer: 7:01 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify i**(1\/12)\/(i\/i**(4\/33)) assuming i is positive.\nAnswer: i**(-35\/44)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 43*t = 91184 - 24964. Calculate the common denominator of t\/(-2464)*(-2)\/90*43 and 137\/60.\nAnswer: 360","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0.3, 6, -4, 2\/5?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = 11053*r. Let t(x) = -42*x**2. Calculate t(m(i)).\nAnswer: -5131089978*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is eighty-five quarters of a litre in millilitres?\nAnswer: 21250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -1008 (b) -12 (c) -0.3 (d) 8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 15\/(-6)*13*-2. Suppose -p = 3*y - 8*y. List the prime factors of y.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0 (b) 74\/169 (c) 0.8 (d) -0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Product of 160758 and 0.3.\nAnswer: 48227.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 51836644*j**4 - 2*j**3 - 23*j**2 + 28*j + 38170?\nAnswer: 1244079456*j - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n**3\/11 - 32*n**2\/11 + 82*n\/11 + 1680\/11 = 0. Calculate n.\nAnswer: -15, -8, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.4 and 1450229.05.\nAnswer: -580091.62","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n - 20 = 4*n. Let f(o) = o**2 - o - 5. Let t be f(n). What is the highest common divisor of 15 and t?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-49)\/(-6))\/7 + (-4)\/6. Suppose -3*j - 2*j - 4*z + 24 = 0, -3*j + 6*z + 6 = 0. Let h = 0.5 - 2.5. Which is the biggest value? (a) j (b) g (c) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let p = 5.1 - 6. Let i = 14 - p. What is i rounded to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + 4 + sqrt(500) + -1*sqrt(500) + (-1 + sqrt(500))*2 + 0)**2.\nAnswer: 2000","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g = 8, 2*u + 4 = 5*g - 2. Is 10 a factor of u\/(-4)*-6 - -27?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) be the third derivative of q**4\/12 + 245*q**3\/6 + q**2 + 1815*q. Let y(c) = -2*c. Give y(d(m)).\nAnswer: -4*m - 490","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-2)\/(-3) + 16\/(-6). Let w = -21 - -19. Let n(k) = -k. Let m(o) = -o. Let u(v) = w*n(v) + m(v). Calculate u(a).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*k - 121 = -9*k - 2*r, -3*k - 5*r = -127. What is the units digit of k?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xal when three letters picked without replacement from dqddxlxdqadqcadadcdq.\nAnswer: 1\/1140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 15 and 11220.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 674404979 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -73 - -51. Let x = -18 - d. Let s = -33 - -229\/7. What is the nearest to s in x, -2\/13, 3?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l - 3 = -6*l, -4*l = 5*r - 124. Suppose -42*z = -0*z + 3971 - 5987. Calculate the lowest common multiple of z and r.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 7\/(-14) - (-1 + 0). What is the closest to 0.1 in -2, 1, x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (6\/(-24))\/((-14)\/56*-1). Let s = -0.7 - 0.3. Which is the nearest to v? (a) s (b) 7 (c) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -2001 - -100?\nAnswer: -1301","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*o - 4*m + 20 = 0, 0 = -3*m + 8 + 7 for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = -392100*k**2 + 975. Let r(o) = 7261*o**2 - 18. Calculate -325*r(f) - 6*w(f).\nAnswer: -7225*f**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wyyq when four letters picked without replacement from wqyy.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ak when two letters picked without replacement from akakakaaaakaaaakaka?\nAnswer: 13\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1723 is divided by 27.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 33\/9 - (-2)\/6. Let b = -314 + 316. Suppose 0 = 7*f - 9 + 2. Sort b, -1, f, q in ascending order.\nAnswer: -1, f, b, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(95) + -2*sqrt(95)*-2 - sqrt(95))\/(sqrt(405)\/sqrt(9)).\nAnswer: 4*sqrt(19)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*i**2\/17 + 1572*i\/17 - 4734\/17.\nAnswer: 2*(i - 3)*(i + 789)\/17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = -r**3 + 21*r**2 - 63*r + 2613. Let f be o(23). Are 100 and f unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 92.1, 4, -0.14919 in increasing order.\nAnswer: -0.14919, 4, 92.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 7 + -7.4. Let g be (2 - 96\/44)*1. What is the third biggest value in -1, g, p, -3\/2?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2c135 (base 14) to base 15\nAnswer: -228d8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 53\/334 and 77\/20.\nAnswer: 3340","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*w**2 + w**2 - 3*w**2 + 0*w + 0*w - 2*w**2 + (3*w + 2*w - 3*w)*(-4*w + 0*w + 2*w) - w**2 - 2*w**2 - w**2.\nAnswer: -8*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d*d*d*d*(d\/d**1*d*d)\/d)**35*d**(1\/4)\/(((d\/(d\/(d*(((d**(-2\/13)\/d)\/d)\/d)\/d*d)))\/d*d*d)\/d))\/(d**(-5)*d*(d*d**(-2\/7))\/d*d)**(-5) assuming d is positive.\nAnswer: d**(58595\/364)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or 1106\/21323?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.523896 kilometers in nanometers?\nAnswer: 2523896000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = 11*l**2. Let o(i) = -5*i + 4. Let n(x) = -26*x + 22. Let y(z) = 6*n(z) - 33*o(z). What is q(y(t))?\nAnswer: 891*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -8 - -44. Suppose w + 7 - u = 0. Suppose -5*l + 0*v + 205 = -3*v, -3*v - w = -l. What are the prime factors of l?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 187, -84, 0, -4, 1 in ascending order.\nAnswer: -84, -4, -2, 0, 1, 187","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify l\/(l\/(l\/l**(1\/46)*l)*l)*l\/(l*l\/(l*l**17))*l assuming l is positive.\nAnswer: l**(873\/46)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.2 in -4, -2\/9, 1\/2, 0?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-8)\/6*(-9)\/6 - -2. Solve -4*t + 3 = 3*l + 1, -5*t - 13 = -u*l for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 27 + -14. Suppose 0 = -5*p - 12 - c. Let f = 3 + p. Let g(w) = w**3 + 3*w**2 - 4*w - 3. Calculate g(f).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 153592 divided by -4.\nAnswer: -38398","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 u, 1 r, and 1 n when three letters picked without replacement from {z: 3, u: 1, n: 1, r: 2}.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 23? (a) -4\/11 (b) 4 (c) -88 (d) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 i and 1 z when three letters picked without replacement from iiziziiizi.\nAnswer: 21\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = -274*z**3 + 3*z**2 - 4*z - 7. What is a(-1)?\nAnswer: 274","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.0327016 * 5.\nAnswer: 0.163508","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 641 + 77\/(-42) + 10\/12. What is the greatest common factor of w and 40?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(3\/7))**(-2\/5)*((y\/(y\/y**(-13)*y))\/y)\/y**(-9) assuming y is positive.\nAnswer: y**(-216\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 204066 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = i**2 - 2*i - 7. Let b(q) = -2*q**2 + 2*q + 7. What is 3*b(f) + 4*n(f)?\nAnswer: -2*f**2 - 2*f - 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x - 172 = 5*a, a + 3*x - 2*x = -40. Is -37 < a?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -19, -971, -3533, -8509, -16703?\nAnswer: -28919","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 4*k**2*w**6 + 9*k**2*w**3 + 8*k**2*w + 2*k*w**2 - 3*w**2 wrt w.\nAnswer: 480*k**2*w**3 + 54*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 10949534119 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 5009 (b) -165 (c) 1\/3 (d) 3\/2 (e) -0.3 (f) 1\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -115715 - 20?\nAnswer: -115735","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -2 + 5 - (-2 + 0). Let o = a - 4. What is the units digit of o?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.094872 rounded to three decimal places?\nAnswer: 0.095","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 306 - 213. Let s(l) = 4*l**2 - c + 109 - l**2 - 17*l. Does 15 divide s(7)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 174*q - 18*q = 6*q - 13800 for q.\nAnswer: -92","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 26558866?\nAnswer: 2, 13279433","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18 = -4*z + 2*z - 2*l, 3*z = -4*l + 32 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 12\/5 - (139 + -136). Put -3\/16, 3, b in decreasing order.\nAnswer: 3, -3\/16, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = -1 + 16*k + 5*k + 1. Let t(z) be the first derivative of -5*z**3\/3 + 4328. Give a(t(u)).\nAnswer: -105*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000002561 rounded to five dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -96*f + 404*f - 337 = 587 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 129*w - 132*w + 4*k = -21, -4*w - 46 = 7*k for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -142958059142 - -12\nAnswer: -142958059130","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 - 0 - (-2 - -1 - (15 + -13))?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 90?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -5696282.02 rounded to the nearest one thousand?\nAnswer: -5696000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 36 and 54?\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert 40.28137 decades to years.\nAnswer: 402.8137","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-6)\/21 + 104\/(-28). Let r = -11 - -16. What is the third biggest value in -0.1, i, r?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 11022999?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 377678 to the power of 1\/2, to the nearest integer?\nAnswer: 615","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -11850 + 11857. What is the least common multiple of h and 189?\nAnswer: 189","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 8.838255ms?\nAnswer: 0.00014730425","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s\/s**(-15))**(-3\/16) assuming s is positive.\nAnswer: s**(-3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -2026.5 times 12.1\nAnswer: -24520.65","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 16747 a multiple of 29?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 54, 83, 78, 33, -58, -201, -402?\n\"Answer: -a**3 - 11*a**2 + 69*a - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 351.25 to the nearest 100.\nAnswer: 400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -25*m**2 + 15 + 13 + 3333*m - 31.\nAnswer: -25*m**2 + 3333*m - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -74*v = -95*v + 2457. Let j be 446\/6 + 78\/v. Calculate the greatest common divisor of j and 9.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.4 and -67.\nAnswer: -26.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Determine g, given that -2*g**2\/9 - 2*g\/3 - 4\/9 = 0.\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 783 is divided by 771.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 18125*g - 7043 - 3*g**3 - 17426*g - 3*g**3 + 5*g**3 wrt g?\nAnswer: -3*g**2 + 699","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 90733?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0259122 + 868?\nAnswer: 867.9740878","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -101000011000 - 100?\nAnswer: -101000011100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*r - 2*d = -14*r + 2646, -r + 896 = 4*d. Suppose r = 4*z + 200. Is z a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(-1\/8)*g*g\/(g*g\/g**(-4)*g)*g)\/(g*g**2)**(1\/14) assuming g is positive.\nAnswer: g**(-243\/56)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 4511, 17901, 40217, 71459, 111627, 160721?\n\"Answer: 4463*i**2 + i + 47","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = -89*v - 261. Let y be g(-3). Which is the biggest value? (a) 2 (b) y (c) 81\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((q\/q**(1\/2))**8)**(-2\/69))**(-1\/12))**(-47) assuming q is positive.\nAnswer: q**(-94\/207)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) be the first derivative of -q**5\/5 + 19*q**4\/4 - 127*q**3\/3 + 357*q**2\/2 - 360*q + 2486. Factor b(w).\nAnswer: -(w - 8)*(w - 5)*(w - 3)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is three fifths of a decade in months?\nAnswer: 72","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 311037 - 315997 = -124*z for z.\nAnswer: 40","meta":{"dup_signals":{},"source":"algebra__linear_1d_test"},"subset":"dm_maths"} +{"text":"Question: Let j = -2.6 + 3. Let w = 34.3 - 36.3. Sort -2\/5, j, w.\nAnswer: w, -2\/5, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = -p**3 - 7*p**2 - 2*p + 4. Let t be y(-7). What is the units digit of (t\/(-4))\/(3\/(-6))?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 97206 is divided by 491.\nAnswer: 479","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -162 - -169. Suppose -n = -3*p - 18, f*n + 3*p = 2*n. Solve -5*b = -4*k + 23, -2*k + n*k - b - 5 = 0 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) be the first derivative of -110 + 0*g**3 - 98*g - 47\/5*g**5 + 0*g**4 + 0*g**2. Differentiate w(l) wrt l.\nAnswer: -188*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1*411.\nAnswer: -411","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*o + 20 = 2*o for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 6 - 1 - 3*f**2)*(-3578 + 3578 + 25*f**2).\nAnswer: -75*f**4 + 25*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20 = 3*x + w, 8 = 2*x + 5*w + 4. Let c = x + 16. Calculate the smallest common multiple of c and 11.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11559354 a multiple of 102?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = -r**3 - 17*r**2 + 53*r - 21. Calculate v(-18).\nAnswer: -651","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 56.722363723 take away 1?\nAnswer: 55.722363723","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round -1.42420071 to 4 dps.\nAnswer: -1.4242","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 5*d**3 - 3691390*d**2*z**3 - 8503447*d*z**3 + z**3 wrt d.\nAnswer: 30*d - 7382780*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 1138661134?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*a + 9*a - 12*a + 2*a.\nAnswer: -8*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 2925410 and 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 227*r - 205*r = -22 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = -10*h**2. Let v(x) = 94278*x. Calculate m(v(i)).\nAnswer: -88883412840*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Work out -7194806 * -4.\nAnswer: 28779224","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1070.\nAnswer: 2, 5, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2\/(-16)*-3*(-176)\/(-396).\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 10634\/(-12) - (-2)\/(-6). Let c = 904 + l. Let j = 21056\/1707 + -1\/569. Find the common denominator of c and j.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) be the third derivative of -1\/9*t**4 + 0*t**3 + 1\/45*t**5 - 8*t**2 + 1\/90*t**6 + 0 + 0*t. Factor x(s).\nAnswer: 4*s*(s - 1)*(s + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z = 2*p - 1, -4*p - z + 8 = 3*z. Suppose -p*g + 4*u - 6 = -6*g, -5*g - u = -27. Let a = -21 + 37. What is the remainder when a is divided by g?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = 3*l**2 + 37*l + 174. Determine z(-4).\nAnswer: 74","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + -2*sqrt(833))**2.\nAnswer: 56*sqrt(17) + 3336","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 93 from -3797201.\nAnswer: -3797294","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 11 + (-10 - -12) + -6.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -5.68 + 37.54. Round p to zero decimal places.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*w, l - 5650000 = -4*l + 5*w. Round l to the nearest 100000.\nAnswer: 1100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -220 by -11.\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 4\/(-12)*6\/4. Let f = 4.01 + -0.01. What is the nearest to 0 in p, 0, f?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3079 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 75059.42m in centimeters?\nAnswer: 7505942","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*g**5 - 16*g**2 + 16*g**2 + (2*g**4 - 1 + 1)*(5*g - 5*g - 2*g) + (11*g - 3*g - g)*(2*g**4 + 0*g**4 - 3*g**4).\nAnswer: -14*g**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 1, d: 1, m: 2, f: 1}. What is prob of picking 2 f?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-38)\/((-304)\/(-120))*(-12)\/(-9).\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -102.2 + -4.8. Let f = -99 - t. Which is the second biggest value? (a) -0.5 (b) f (c) 2 (d) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 16 - 10. Let u be -3 + h + 0\/(-1). Solve u*d - d = 10 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y + 25 = -0*y. Suppose 130 = 7*g - 801. Let z(s) = s**3 + 3*s - 65*s**2 + g*s**2 - 62*s**2 - 7. Calculate z(y).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1599 + 1586.99. What is the biggest value in -3, -3\/7, k?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = -p**3 + 3*p**2 + 2*p + 4. Let z = -25 + 30. Suppose -r = z*a - 4 - 18, a + 4 = 4*r. Determine y(a).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -3, -1\/7, 114, 4\/3, 2.1?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) be the third derivative of -k**6\/40 - k**5\/20 + 5*k**4\/8 - 3*k**3\/2 - 36*k**2. Solve t(a) = 0 for a.\nAnswer: -3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = 81*q**2 - 77*q - 19. What are the prime factors of i(18)?\nAnswer: 59, 421","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 249817 is divided by 27756?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 26280?\nAnswer: 2, 3, 5, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*p**3\/5 - 4948196*p**2\/5 - 19792808*p\/5 - 19792816\/5.\nAnswer: 2*(p - 2474102)*(p + 2)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9096.42 hours to microseconds.\nAnswer: 32747112000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 14 and 47070639?\nAnswer: 94141278","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((-3*y + 4*y + y)*(3 - 4 + 3) - 7*y + 2*y + 2*y - y + 17 - 5 + 3*y)*(2*y + y + 2*y) to o*y**2 + t + b*y and give b.\nAnswer: 60","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m*m\/(m*m\/(m**(-4\/7)*m))*m)**(-2\/3) assuming m is positive.\nAnswer: m**(-20\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 25850?\nAnswer: 2, 5, 11, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-4035)\/(-10) - 6\/(-4). Suppose -p = -0*n - 5*n. Suppose 2*o = u - n, 3*o + 26 + 51 = u. Is u a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*u = u - 10 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k + 26 = 5*y, -4*k = 4*y - 0*k - 4. What is the greatest common divisor of 68 and y?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -241 - -239.65. Let g = z - 7.65. What is the second smallest value in g, 0.2, -16?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 292 (base 12) in base 14?\nAnswer: 206","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 23109 to the power of 1\/2, to the nearest integer?\nAnswer: 152","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -2 - 64dd?\nAnswer: -64e0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*y + 2*o, 0*y + 2*o + 10 = -y for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -2 and -2794.\nAnswer: 5588","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-9)\/(-414)*-6)\/((-6)\/(-4)*-6).\nAnswer: 1\/69","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_test"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 327, 665, 1003?\n\"Answer: 338*d - 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {j: 5, l: 2, u: 4}. Give prob of picking 1 u and 3 l.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 1731157 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let -534*t**4 + 108559*t**3 + 187076*t**2 - 65791*t - 2870 = 0. What is t?\nAnswer: -2, -7\/178, 1\/3, 205","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 1\/(3*9\/27). Let b be -1*168\/(-48)*a\/7. Sort 76, 2\/5, 1, b in increasing order.\nAnswer: 2\/5, b, 1, 76","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) be the second derivative of -m**4\/4 - 28*m. Let l(d) = d**2 + 3*d - 4. Let z be l(-4). Let f(b) = -b - b + 3*b + z*b. Determine f(p(v)).\nAnswer: -3*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1.5 + -1.4. Let f = p + 0. Let w = f - -4.9. Which is the third smallest value? (a) w (b) -2 (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 22, 0, -5.\nAnswer: -5, 0, 22","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2188 by 2.\nAnswer: -1094","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 327 minutes after 3:28 PM?\nAnswer: 8:55 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = -36*z**2 - 364*z + 364. Determine a(-11).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = -u - 2. Let p(q) = -q - 3. Let x(n) = -2*p(n) + 3*y(n). Let i(v) = -5*v. Let b(r) = -4*r. Let f(d) = 3*b(d) - 2*i(d). Give x(f(z)).\nAnswer: 2*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = -17*u**3 - 26*u**2 + 21*u - 11. Let s(n) = -3*n**3 - 5*n**2 + 4*n - 2. Let b(p) = 11*s(p) - 2*t(p). Determine j so that b(j) = 0.\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (0 + 0 + 2*q**2)*(-369*q + 145*q + 194*q) in the form m + s*q**3 + v*q + h*q**2 and give m.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 24\/(-40)*(35\/(-3))\/(-1)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = -21*p - 468. What is y(-22)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 19 (base 14) in base 11?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (1 + 6)\/((-7)\/(-2086)).\nAnswer: 2, 7, 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/7, -15, -30504, 0.9, -0.3 in ascending order.\nAnswer: -30504, -15, -0.3, 2\/7, 0.9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 149, 267, 381, 491?\n\"Answer: -2*f**2 + 124*f + 27","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -488 + 498. Which is greater: -26 or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -223, -217, -207, -193, -175, -153, -127?\nAnswer: -97","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -71057417 - -4?\nAnswer: -71057413","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 plus 11?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve l - 1 = 22*k - 21*k, -4*k = -12 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 189 and 33.\nAnswer: 2079","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = -m**3 - m**2. Let q(p) = 16*p**3 + 8*p**2 + 2*p + 3. Let r(s) = -q(s) - 4*y(s). Is r(-4) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 647 is divided by 439.\nAnswer: 208","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q\/(((q*(q*q*q**16*q)\/q*q*q)\/q)\/q))\/q*q*q*q\/(q\/q**(-3\/2)))\/(q**(5\/8)*q**(-37)) assuming q is positive.\nAnswer: q**(143\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(60)\/(sqrt(1200) + sqrt(1200)*-2) - (sqrt(20)\/(sqrt(484)*-2))**2.\nAnswer: -sqrt(5)\/10 - 5\/484","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x*x**(-1\/4)*x**(-8)*x)\/(x**(-2\/17)*x\/(x**(-4)*x)) assuming x is positive.\nAnswer: x**(-689\/68)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 686918532 greater than 686918535?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ket when three letters picked without replacement from tetaekekkeaeeaeeea?\nAnswer: 3\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -2586017324 - 44024\nAnswer: -2586061348","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = -2*f + 73. Let y be o(11). What is the highest common divisor of y and 969?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3 (base 9) to base 4\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p + 0*v = -v + 3, -p + 6 = 2*v. Suppose p = -2*s + 110 + 40. Is s a multiple of 25?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 115 + -487. Let b = g - -120. Let y = b + 252.191. Round y to 2 decimal places.\nAnswer: 0.19","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 17860647, 17860645, 17860643?\nAnswer: 17860641","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(65)*2 + sqrt(65) - sqrt(65)) + sqrt(65))*-1 + 3*(2*sqrt(65) - sqrt(65)))\/(sqrt(60)\/sqrt(48) - 1*sqrt(320)) + 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) be the second derivative of y**4\/42 + 85*y**3\/7 - 514*y**2\/7 + 1138*y. Factor d(x).\nAnswer: 2*(x - 2)*(x + 257)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = 9*a. Let o(w) = 11*w**2 - 5. Suppose 2*v + 30 = 5*n, -24*n + 20*n + 5*v = -7. Let m(u) = -16*u**2 + 8. Let g(p) = n*o(p) + 5*m(p). Determine q(g(d)).\nAnswer: 72*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*w**3 - 28*w**2 + 24*w = 0 for w.\nAnswer: 0, 1, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x*x**(-10))**(-1\/14))**0 assuming x is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve j + 3*q = 5, -127*j + 61*q + 111*q - 182 = -265*j + 133*j for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 61*h**3 - 4*h**3 + 65*h**3 - 20*h**3.\nAnswer: 102*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = 28 + 20 + 25 - 9*z**2 - 77. Let j(q) = 1. Calculate 5*j(g) + w(g).\nAnswer: -9*g**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 7*i - 14*i. Solve i = 10*c - 12*c - 4 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -17.6 - 0.2. Let i = -18.3 - u. Put i, -2\/3, -2\/81 in increasing order.\nAnswer: -2\/3, i, -2\/81","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 32 - 17. What is the greatest common divisor of 105 and m?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4368)\/(-486)*(88\/24)\/11*-3 - -9.\nAnswer: 1\/81","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 39 a factor of 8573293?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*p**3 + 3*p**3 - 17*p**2 + 17*p**2.\nAnswer: 6*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 815 + -762. Which is the second smallest value? (a) t (b) 0.4 (c) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 7*k**5*z - 313*k**3*z - 196*k**3 + 3*k**2 + 50808*k*z + 2*k - 2*z - 1 wrt k?\nAnswer: 420*k**2*z - 1878*z - 1176","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 366 minutes after 7:56 AM?\nAnswer: 2:02 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 22 + (-73 - -12) + (15 - -1).\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14 = 5*u - 4*j, -4*u - j + 13 = 41. Find the common denominator of (-2)\/5 + (-107)\/(-10) and u.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.18 - 32.82. Let l = -33.41 - f. What is l rounded to one dp?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1884 = 2*t - 120. Let h be (-1)\/7 + t\/(-42). Round h to the nearest ten.\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 7 + -521?\nAnswer: -513","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 12 + -12. Solve -2*a + 4 = -0*a - 3*y, c = -4*a + 4*y for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*t + 3*k + 3, 0 = 3*t + 24*k - 27*k + 15 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 3 - 3. Suppose 4*d - 3*n - 39 - 25 = w, -80 = -4*d - n. Calculate the remainder when d is divided by 11.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10694671 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -f - f. Let t(i) be the third derivative of f*i**4 + 0*i + 0*i**3 + 0 - 1\/60*i**5 + 1\/120*i**6 - i**2. Find the third derivative of t(s) wrt s.\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -i + 4 + 0 = 0 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 372932 divided by -4.\nAnswer: -93233","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 283*n**3 + 178*n + 97*n - 338*n + 165*n wrt n.\nAnswer: 1698*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 37\/5 of a kilometer?\nAnswer: 7400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1972\/238)\/29*(-7)\/41.\nAnswer: -2\/41","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = -s**2 - 67*s + 4. Let b(f) = -2*f**2 - 103*f + 5. Let z(d) = 5*b(d) - 8*n(d). What is z(9)?\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of ((-6)\/(-4))\/((-1)\/(-2)) and 222?\nAnswer: 222","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 5708 - 5711. Which is greater: -4 or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*u + 4 = 5*l, 3*u - 1 = l + 5 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 144 + 19 = 3*g + 5*b, 5*g + 64*b = 1518 + 702 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l = d - 2, 0*d - 2*l + 16 = -5*d. Suppose -2*r + 6 - 2 = 0. Suppose -3*x - z - 8 = -0*z, -16 = -4*x + 4*z. Sort r, x, d in decreasing order.\nAnswer: r, x, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 238541638?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -22*j - 11*j = 2*j + 70 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (11 - (4 - 10)) + -8 - (-5 - -5).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 652 minutes before 9:53 PM?\nAnswer: 11:01 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 464543 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = 2*l - 22. Let j be n(12). Put -3, -4, j, 7 in decreasing order.\nAnswer: 7, j, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 91929 or 91919?\nAnswer: 91919","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 2.1 times -3856\nAnswer: -8097.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -1 + 0 - (-1)\/((-8)\/(-20)). What is the closest to -1\/2 in 1, v, 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2640219 a multiple of 51?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 602.4 - 602. Let k = -0.57 + -0.13. Let q = -0.8 - k. What is the second smallest value in -0.2, y, q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 17985, 71927, 161825, 287679, 449489?\n\"Answer: 17978*h**2 + 8*h - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express 24*z + 2 - 23*z - 17*z**2 + 0 + (z**2 + z - z)*(3 - 2 - 2) + z + 2*z**2 - z as r*z + t*z**2 + a and give r.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -0.047 times 22\nAnswer: -1.034","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 6945641 to the nearest integer?\nAnswer: 191","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = 211*w + 573. What is h(-3)?\nAnswer: -60","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1522 + 4440. What is v rounded to the nearest one hundred?\nAnswer: 6000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 18 - 86*u - 64 + 16 + 12 + 17.\nAnswer: -86*u - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3*n + 6*n - 4*n)*(n - 4 + 4) - 55*n**2 + 100*n**2 + 130*n**2 + n**2 + 0*n + 0*n to c*n**2 + k*n + u and give c.\nAnswer: 175","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -39\/56 and -40\/7.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00817 to 1 dp.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 13 (base 5) to base 7\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1 - -2) + 92 + -101?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0602485 rounded to 2 dps?\nAnswer: 0.06","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express 11 - 4 - 30*q - 7 as o*q + u and give o.\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 50\/57393 and -89\/7288?\nAnswer: 459144","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 581354310?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -58 - -38 - (-1 - 8) - (17 + 0 + -7)?\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 12*c**4 - 21*c**3 - 127*c**2 - 5 wrt c?\nAnswer: 288*c - 126","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -35961*h*y*z**2 + 41*h*y*z - 2*y*z**2 + 3*y*z - 2*y + z - 1044 with respect to h.\nAnswer: -35961*y*z**2 + 41*y*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.04 - 0.24. Let o = k + -0.3. Let x = 2.5 - 0.5. Which is the closest to 0.1? (a) 5 (b) o (c) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-11 + 11 + 42*n + (-4*n + 5*n + 0*n)*(-2 + 1 + 0))*(2*n - 2*n - n).\nAnswer: -41*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = -5*c + 113. Let v be u(19). Suppose -v*n - 12 = -22*n. Solve 7*q - n*q = 0 for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*((2*sqrt(98) + 5)*-1)**2 - (-3 + sqrt(242) + sqrt(242) + (-5 + sqrt(242)*-1 - sqrt(242)))**2*-2.\nAnswer: -706 - 280*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Divide -129419 by 129419.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert 798 (base 13) to base 4.\nAnswer: 110130","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 31\/5 of a litre?\nAnswer: 6200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 90 and 930.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) be the second derivative of g**4\/12 + 5*g**3\/6 - 4*g**2 - 12*g. Let d be q(4). Suppose 3*r = -r + d. Calculate the remainder when r is divided by 2.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh biggest value in -0.09, 2, -4\/145, -0.01, -5, -13, -2?\nAnswer: -13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert -225023 (base 6) to base 13.\nAnswer: -89ac","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -18 - -69\/4. What is the closest to 2\/13 in 1\/7, -6, -5, y?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 2021373 and 711.\nAnswer: 711","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = b**3 + 17*b**2 - 3*b + 28. What is the units digit of w(-9)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is s in -5*s**5 + 675*s**4 + 5870*s**3 - 2520330*s**2 + 14838615*s - 12324825 = 0?\nAnswer: -57, 1, 5, 93","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3351043589 to the nearest integer?\nAnswer: 57888","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (164\/192 - -1)*-3 and -23\/34.\nAnswer: 272","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -736 + 1413. Is t composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand h**3 - 2*h**3 + 0*h**3 - h + h**3 + h - 3*h**3 + 2 - 2 + (4*h - 4*h + h**2)*(5*h - h - 2*h) + 0*h**3 + 2*h**3 - 3*h**3.\nAnswer: -2*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(-1)*r**(2\/3))**(4\/15) assuming r is positive.\nAnswer: r**(-4\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 429 minutes after 1:40 AM?\nAnswer: 8:49 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 0 (base 13) to base 7\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -0.4 * -27\nAnswer: 10.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x + 8 = -2*n, -2*x - 16 = 2*x + 4*n. Let l be (-24)\/(-4) + -3 + -1. Solve 5*k = -4*g - 18 + 53, -l*k + 5*g - 19 = x for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = -87*s - 9392. Calculate d(-110).\nAnswer: 178","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 107*a**6 + 9892*a**3 - 2*a**2 - 212333*a + 2 wrt a?\nAnswer: 12840*a**3 + 59352","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 565*h - 15 = 563*h - 3*g, 3*h + 7*g - 30 = 0 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = -331*h**2 + 5329*h + 11325. Determine v(18).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 40 (base 5) to base 3.\nAnswer: 202","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 a and 1 m when three letters picked without replacement from mippyfmaaiiy.\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 1*(-81)\/90 - (-78)\/104?\nAnswer: -3\/20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -8\/3 + 34\/9. Suppose 5*o = -0 + 5. Calculate the common denominator of a and 0 - o*154\/(-12).\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7348.58t in grams?\nAnswer: 7348580000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 8199\/(-6)*4\/(-6) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 693134617 to the power of 1\/3, to the nearest integer?\nAnswer: 885","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 l and 2 z when three letters picked without replacement from {t: 6, z: 4, u: 2, x: 3, l: 3}?\nAnswer: 3\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -1140.155 + 0.0829239?\nAnswer: -1140.0720761","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1955809671.\nAnswer: 3, 137, 4758661","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 198, 397, 596, 795?\nAnswer: 994","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y = 5*r - 32, 3*y - 2*r + 1 - 2 = 0. Solve 0*k - 3*k + 3 = d, -y*d - 9 = 0 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -702\/17 or -42?\nAnswer: -702\/17","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-4)\/(-6) + (-80)\/(-15). Let y be 77\/5 - r\/(-10). Let p = y - 10. List the prime factors of p.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**0)**(-22)*(k**(-1))**(-2\/35) assuming k is positive.\nAnswer: k**(2\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 86 less than -0.69?\nAnswer: -86.69","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 35764, 286162, 965812, 2289340, 4471372, 7726534?\nAnswer: 12269452","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -7062.947 - -7088. Let n = -0.053 + r. Let t = n - 24.87. Round t to one decimal place.\nAnswer: 0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = 282153*q + 7335974. Calculate p(-26).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = a. Let j(g) = 740066*g. Determine o(j(l)).\nAnswer: 740066*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 11*k**4 + 87052*k**2 - 66462753.\nAnswer: 44*k**3 + 174104*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Product of 4 and 0.05415737.\nAnswer: 0.21662948","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {n: 6, a: 4, x: 4}. What is prob of sequence xxx?\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 210674535 to the power of 1\/6, to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {i: 1, s: 17}. What is prob of picking 4 s?\nAnswer: 7\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 17013114179 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 33 greater than -59?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 w and 1 l when two letters picked without replacement from ljjldjjddljw.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 44475311 is divided by 76814?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-6)\/(-15)*(-70)\/168. Let a = c + 2\/3. Factor -3\/2*w + 1 + a*w**2.\nAnswer: (w - 2)*(w - 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (7 - (-5)\/(-1))*3\/2. Solve 9 = -k*q + q - y, q + 5*y = -18 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3 + 19*h + 1 - 3 + 6 + 23*h to k*h + t and give t.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-20)\/(-5))\/((-105)\/30)?\nAnswer: -8\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = -3*i + 3. List the prime factors of r(-2).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 22860717?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 446726 to the power of 1\/5, to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 210.039429 - 234.03967. Let i = 19.2 - -4.8. Let q = i + x. Round q to five decimal places.\nAnswer: -0.00024","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 100202001 - 1100?\nAnswer: 100200201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5304, -16, 4, -2, -3, -1 in descending order.\nAnswer: 4, -1, -2, -3, -16, -5304","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 5100 and 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.2431*-1.\nAnswer: -0.2431","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 951 or -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 divided by -1135?\nAnswer: 3\/1135","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 27306 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 h, 1 o, and 1 t when three letters picked without replacement from oommmtmmoommhmat.\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**5\/(t\/(t**(16\/5)*t*t)))**(1\/5) assuming t is positive.\nAnswer: t**(46\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert 16 (base 15) to base 9.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 1, y: 2, a: 1, m: 2}. Give prob of picking 1 a and 1 j.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (19\/((-133)\/(-8)))\/(22\/11).\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = n - 1. Suppose 0 = -2*b - b - 3. Let t(g) = 2*g + 1. Let d(r) = -13*r - 8. Let y(s) = -2*d(s) - 14*t(s). Give b*y(f) - 3*v(f).\nAnswer: -f + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -90593*o**2 + 35180*o - 2 wrt o?\nAnswer: -181186","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*h + 2*l - 23, -2*h + l + 16 = -5*h. Let c(j) = -j**2 - 5*j - 4. Give c(h).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t + 56 = 4*d, -52 - 22 = -5*t + 3*d. Calculate the highest common factor of 752 and t.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9265 minus 3012839?\nAnswer: -3003574","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15 = -2*j + p, 0 = -4*j + p - 66 + 41 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a + 5152 = -5*n + 1071, -n = 5*a + 20381. Let f = a + 24593\/6. Find the common denominator of f and -54\/5.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + (sqrt(108) - sqrt(108)*1 - sqrt(108))**2 + -3 + (-4*sqrt(108)\/sqrt(4) - (0 + sqrt(243)))**2.\nAnswer: 1429","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3368 is divided by 1119.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (8\/30)\/((-4)\/(-10)). Let q = -1.91 - -0.41. Let l = q - -1.5. Which is the nearest to l? (a) f (b) -2\/9 (c) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1\/(-3)*45\/20*(-896)\/288?\nAnswer: 7\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8546778?\nAnswer: 2, 3, 37, 41, 313","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 3 - (3 - (0 - 0))\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-1 - 2)*16\/(-3). Let h = -1 + r. Calculate the greatest common factor of h and 60.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 10130 - -43410?\nAnswer: 104040","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = 6*n. Let f(w) = -538*w. Calculate f(k(i)).\nAnswer: -3228*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2*-38*(-99)\/(-41382).\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 284275 and 7700?\nAnswer: 87556700","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 1c7d1 - -13?\nAnswer: 1c804","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 360048 divided by -120016.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/10 of a second in milliseconds?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = p + 2. Let v = 22 + -23. Let y be (v + (-14)\/6)\/((-42)\/(-63)). Determine t(y).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = i + 16. Let a be j(-5). Solve -g = -2*k - 0*k - a, 2*k = -5*g - 5 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 6*(6 + 900\/24). Calculate the highest common divisor of f and 203.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -594308 = -7*z - 594210 for z.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -933, -3981, -9051, -16143, -25257?\n\"Answer: -1011*i**2 - 15*i + 93","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000991623 to five decimal places.\nAnswer: 0.00099","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m - 24 = 16. Suppose 0 = 2*x - 17 - 9. What is the remainder when m\/(-35) - 1044\/(-21) is divided by x?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1706 divided by -6?\nAnswer: -853\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = -t**3 - 37*t**2 - 302*t - 45. Let q be n(-25). Put q, 1, -2, -3, -99 in descending order.\nAnswer: q, 1, -2, -3, -99","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o + 3*q = 0, 2*o + 4*q - 7 = 3. Suppose -o*t + 390 = 4*j, 4*t = 3*j + 133 + 387. Calculate the remainder when t is divided by 12.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 543896448 to the power of 1\/6, to the nearest integer?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3110180?\nAnswer: 2, 5, 155509","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -144*a**2*p**3 - 4737*a**2*p**2 + 2*a**2*p - a**2 + 98*a*p**3 + 5*a wrt p.\nAnswer: -864*a**2 + 588*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = -c**3 + 15*c**2 - 36*c + 5. Let i be b(12). Solve z - 2*j = 2*j + 8, 0 = -i*z + 4*j - 8 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*p + 19249 - 19249.\nAnswer: 5*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {m: 1, d: 1, x: 1, u: 2}. Give prob of sequence umx.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -150.13656 rounded to zero dps?\nAnswer: -150","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 169? (a) -1 (b) -3 (c) 3\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -77766 divided by 29\nAnswer: -77766\/29","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = 2*v - 0. Suppose -v*p + 0*p = -87. Round p to the nearest 10.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0 + 1\/4*q**3 - 1\/4*q**5 + 0*q**2 + 0*q + 0*q**4.\nAnswer: -q**3*(q - 1)*(q + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 68.3862km?\nAnswer: 6838620","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = -11*t + 44. Let z(l) = 19*l - 92. Determine -7*h(b) - 3*z(b).\nAnswer: 20*b - 32","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = -i**3 - 4*i**2 + 2*i - 12. Calculate w(-5).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = -25*d + 1. Let n(x) = 100*x - 4. Let k(v) = 9*h(v) + 2*n(v). What is the tens digit of k(-2)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -3c52a72 + 3?\nAnswer: -3c52a6c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -136 (b) -3 (c) -1.1741\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 73\/4554 and 103\/8760.\nAnswer: 6648840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (22\/(-4))\/(1 + 30\/(-24)). Suppose 2*y = -5*a + 19, -4*y + p = -y + a. Is 7 a factor of y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 44, 83, 122, 161, 200, 239?\n\"Answer: 39*d + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = n**3 + 1. Suppose -2*p = 2*p - 12. Suppose 0 = -p*z - z. What is the units digit of c(z)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = -15*o - 22. Determine m(-2).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) be the first derivative of 6*z**2 + 3. Let m(s) = s. Give -27*m(c) + 2*u(c).\nAnswer: -3*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 183 is divided by 31?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-q + 2*q + 0*q)*(14*q**4 - 3*q + 4*q - 3*q**4).\nAnswer: 11*q**5 + q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -88*n**3 - 598*n**2 + 612972*n?\nAnswer: -528*n - 1196","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -386*y - 11800 - 4142 - 1306 = 7842 for y.\nAnswer: -65","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*sqrt(190)\/(sqrt(20)\/sqrt(2)).\nAnswer: 5*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is (-51)\/((-164)\/(-33) - 5) + 8 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 9054 and 18108?\nAnswer: 18108","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.4 - -0.267572?\nAnswer: -0.132428","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = -3*a**2 + 2*a + 1 + 2*a**2 + 3*a. Suppose 439 + 1071 = 5*q - 5*n, 2*q - 607 = -n. Suppose -8*i = 279 - q. What is o(i)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 28414351 is divided by 16.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s - 98 = -p - 4*p, 3*s = p + 45. Let t(v) = 20*v**2 + 26*v. Let l be 56\/(-10) - (-4)\/(-10). Let y(o) = 7*o**2 + 9*o. Give l*t(m) + s*y(m).\nAnswer: -m**2 - 3*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 823*i - 841*i - 378 for i.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = 5299*b + 26496. What is k(-5)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -33 + 60. What is the remainder when f is divided by 14?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 14.74*-4\nAnswer: -58.96","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort -60, 3, -1, 11.\nAnswer: -60, -1, 3, 11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d - 6 = -4*d. Suppose 53*t - 50*t = 18. Solve d*g - t = 0, -5*n - 6 = -0*g + 3*g for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = 2*d - 14. Let q be z(7). Suppose -6 = -3*p - q. Let c(f) = 4*f**2 - 2*f**p - 6*f**2. Let u(a) = 3*a. Give c(u(k)).\nAnswer: -36*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is (-16)\/12*9\/(-32)*-4?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 859363854 to the nearest integer?\nAnswer: 951","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 161965849 to the power of 1\/2, to the nearest integer?\nAnswer: 12727","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 97503543?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17*r = -11*r + 20*r - 5*v + 103, -5 = -v for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is -2099 greater than or equal to -10493\/5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does 116 divide 27072?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1597698, -1597708, -1597714, -1597710, -1597690, -1597648, -1597578, -1597474?\nAnswer: -1597330","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 449199 and 2489?\nAnswer: 131","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 7 - 46?\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -12681, -12667, -12653?\n\"Answer: 14*q - 12695","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*x - 2*x + 24. Let u = x + 10. Is (2 + (-582)\/u)*1 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 5, -0.2, -0.45?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -54 - -57. Suppose 0*b + 3 = w - b, -4*w = r*b + 2. Let o be (2 - (2 + 0 - w)) + 2. Solve 0*j - o*j = 12 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 48 a factor of 29418989?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (-24)\/132 + 772\/(-836) and 69\/10?\nAnswer: 190","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3187255 a multiple of 68?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = -6*i - 4. Let c be y(-3). Let r = -11 + c. Suppose 6*d + r*g - 1019 = d, -3*d + g = -617. Is d a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = 3*h**2 - 31*h + 1809. Is s(85) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -0.5 (b) 4 (c) 1\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.004169663 to five decimal places.\nAnswer: 0.00417","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 12 - (-2 - (-7 - 1))\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-9)\/(-2*(-3)\/6). Let t = 24 + -60. Let p = -45 - t. Is p equal to n?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {e: 5, t: 1, g: 5, u: 2, h: 6}. Give prob of sequence egtg.\nAnswer: 25\/23256","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 108.1 + -105.215. Let x = 2.8 - h. What is x rounded to two dps?\nAnswer: -0.09","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-5)\/15)\/(2\/(-8)))\/((-40062)\/(-2824371)).\nAnswer: 94","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*m + 0*m + m + (-3 + 3 + 5)*(m - 1 + 1) - m + 3*m + 5 - 3*m to o + i*m and give i.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 120 - 34*r**2 + 22*r - 66 - 52 - 22*r.\nAnswer: -34*r**2 + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 14943 - 5?\nAnswer: 14938","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w + 7 = 35. What are the prime factors of w?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = l + 8. Let r be o(-4). What is the hundreds digit of (-8)\/(-2 + r) + 172?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-8)\/3 - (-8)\/(-24)) + -1. What is the common denominator of -35\/6 and (-665)\/(-90) + 2\/d?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -ef01 - 5?\nAnswer: -ef06","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*w - 2*w + 4*w + (-3 + 3 + 3)*(0*w + 4*w + 5*w) - 17 - 2*w + 6 + 9)*(3 - 2 + 0).\nAnswer: 24*w - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i - 37 - 10 = 0. What is the remainder when i is divided by 12?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.07 + 0.13. Let i = 12 + -11.9. Which is the nearest to -1? (a) i (b) -0.5 (c) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.47154529 to two decimal places.\nAnswer: 0.47","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6*j - 8*j + 4*j)*((0 - 1 + 0)*(2 + 2 - 2) + 0 + 3 - 4).\nAnswer: 30*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 818, 5, -1?\nAnswer: 818","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = c**2 + 15*c. Let x be u(-15). Let i = x - -18. Let a = 14 - i. Put a, -3, 0.18 in decreasing order.\nAnswer: 0.18, -3, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 24? (a) 0.2 (b) -2\/13 (c) 28 (d) -3\/52\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -2\/5 (b) 9\/5 (c) -0.0624 (d) -5 (e) -29 (f) -0.1\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4\/3*r - 16\/9 - 2\/9*r**2 = 0 for r.\nAnswer: 2, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -9\/8 and -1 - -10 - (123403\/11050 + -2)?\nAnswer: 2600","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -6782, -13570, -20358?\nAnswer: -27146","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 2 + 2*v)*(-191*v**2 + 205*v**2 + 633*v**2)*(0 + 1 - 2).\nAnswer: -1294*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13*p - 11 + 13 = 66 + 14 for p.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -3455*i**6*s - 2*i**3*s - 210*i**2*s - i**2 - 3*i*s wrt i?\nAnswer: -414600*i**3*s - 12*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = z**3 + z**2 - z + 1. Let h(v) = -v**3 + 2*v - 2. Suppose -2*q + 110 = -3*b, -9*b = -8*b - 4. Suppose -56*o = -q*o - 5. Calculate o*h(a) - 2*f(a).\nAnswer: -a**3 - 2*a**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -4867.04 from 0.\nAnswer: 4867.04","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 0 - 2\/(-5) - (-134)\/(-3685). Which is the closest to -2? (a) k (b) 4 (c) 37\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 c and 1 q when two letters picked without replacement from iiijcqiijqciqoqicio?\nAnswer: 4\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u + 1 + 7 = 0. Suppose -2*k = -u - 2. Suppose -4*l + 30 = k. What is the units digit of l?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 35 a factor of 52360?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-2)\/4)\/((-1)\/10). Let q(i) = 2*i**2 - 37*i - 99. Let u be q(-3). Solve 2*m - 15 = -3*v, 3*m + 6 - u = -h*v for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) be the first derivative of 5\/42*a**4 + 2\/105*a**5 + 2\/7*a**3 + 4\/21*a + 1\/3*a**2 - 12. Factor g(o).\nAnswer: 2*(o + 1)**3*(o + 2)\/21","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 23, 75, 161, 281, 435?\n\"Answer: 17*k**2 + k + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (10\/(-48))\/((-2745)\/2928)?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from nncjncnfnnenfc. What is prob of picking 1 n and 1 f?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q\/((q\/(q\/(q**(1\/2)*q)*q))\/q)*q)\/((q\/q**5*q*q*q)\/q))**(11\/5) assuming q is positive.\nAnswer: q**(99\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 184711787 is divided by 85.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 34253970.\nAnswer: 2, 3, 5, 251, 4549","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 7? (a) -3 (b) -10 (c) 1 (d) -0.3 (e) -98\/5 (f) 12\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 46496656 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = -u**3 + 15*u**2 + 403*u + 93. Give n(29).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -l**3 - 2*l**2 + 2*l + l**3 + 3 - 2*l**4 + 5*l to p*l**3 + x*l + o*l**4 + j*l**2 + y and give y.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put -3\/4, 3\/11, -5 in descending order.\nAnswer: 3\/11, -3\/4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 = -3*d, 4*d = -l - l + 110. What is the remainder when l is divided by 7?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4\/(-24)*(-2)\/(-4)?\nAnswer: -1\/12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 7732904?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (32 - 35 + 34)*(-2*g - 2 + 2) to p + y*g and give y.\nAnswer: -62","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 4900 a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -1097*q*s**2 - 110*q*s - 14*s**2 - 21*s - 167 wrt q.\nAnswer: -1097*s**2 - 110*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -1683, -6870, -15563, -27762?\n\"Answer: -1753*a**2 + 72*a - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = -27*s + 2. Let g(d) = 14*d - 1. What is -5*g(z) - 2*p(z)?\nAnswer: -16*z + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) be the third derivative of -y**4\/24 - y**3 - 8*y**2. Let v be k(-3). Which is the second biggest value? (a) 3 (b) -1\/4 (c) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n + 5 = -0*n. Suppose 2*k + 2*p + 7 = 3*k, n = -5*p. Let m(f) = -k*f + 0 - 1 - 5 + f**2. Give m(5).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -49 (b) 4 (c) 1\/8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.1 + 0.18. Let y = -0.3029 - -0.1029. Which is the third smallest value? (a) 1 (b) y (c) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*b**3 - 12*b**2 + 33*b - 18.\nAnswer: -3*(b - 1)**2*(b + 6)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0.3, 1\/9, -2?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 34534.16s in milliseconds?\nAnswer: 34534160","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide 80 by 20.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from adedeeear. What is prob of sequence ae?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = -2*o**3 + 132*o**2 + 277*o - 337. Give p(68).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = 7*w**3 + 5*w**2 + 5*w + 5. Let o(m) = 3*m**3 + 2*m**2 + 2*m + 2. Let d = -35 + 24. Let i = d - -1. Determine i*o(x) + 4*q(x).\nAnswer: -2*x**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n + n = -3042. Let d = n + 718. Is d a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -9.7 - -10. Let h = 0.3 + -1. Let y = h + r. Which is the biggest value? (a) 0.2 (b) 2\/5 (c) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-34*j**2 + 48*j**2 - 33*j**2)*(-1 + 1 + 2*j) - 2 - 2*j**3 + 2 - 21*j**3 + 37*j**3 + 4*j**3 to the form r*j**2 + w*j**3 + v + i*j and give w.\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -10415 from 513794122.18.\nAnswer: 513804537.18","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*t**3 - 59784*t**2 + 119556*t - 59776.\nAnswer: 4*(t - 14944)*(t - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 11091 is divided by 231.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*k - 693 = -713 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-976)\/6 - (-4)\/6. Let l = 43 - 42. What are the prime factors of (l\/3)\/((-9)\/z)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 404 minutes after 7:30 PM?\nAnswer: 2:14 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 13 - (11 + 10) - 31\/(-4)\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 492449716?\nAnswer: 2, 11, 11192039","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 7049 + -7032. Let g = -43 - -89. Calculate the remainder when g is divided by b.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = 7*m - 11. Let o be v(12). Suppose -4*a + o + 59 = 0. Is a a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 79*s**3 - 44*s**3 - 24*s**3 - 9*s**3.\nAnswer: 2*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + (2*sqrt(405)*-6 - sqrt(405)))**2.\nAnswer: 936*sqrt(5) + 68461","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*a**2 - 556*a + 556*a + 5*a**2.\nAnswer: -a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 6.72 times -16.256\nAnswer: -109.24032","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 44.8 greater than 231?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-2)\/8*(-32)\/(-24). Let o be (-3 - -7 - -19) + (1 - 2). Let n be 636\/(-132) - 4\/o. Which is the nearest to -1? (a) -2 (b) l (c) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 6116732\/3205747 - 2\/331629. Let u = v + -12013\/870. What is the common denominator of -69\/2 and u?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 817?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -16 - -18. Suppose 135 = y - q. Let c = y - 69. Calculate the remainder when c is divided by 23.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 767 and 295?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -119996 divided by -29999.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0 + 0.5. Let g = -1 + 1.3. Let h = g - y. Which is the closest to 0.1? (a) h (b) -0.1 (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*o + o + 3*d + 1154, -4606 = -4*o + 2*d. Is o prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -22403300040 - -2?\nAnswer: -22403300033","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Are 1\/4 and -987582 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*r**2 + 48360*r + 116934480.\nAnswer: 5*(r + 4836)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 1061 (b) 3\/5 (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = -108*q - 3915. Give t(-36).\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 47 - 328\/7. Let v = 1.77 - 1.7. Let q = v + 0.23. Put -1\/8, g, q in increasing order.\nAnswer: -1\/8, g, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -4\/7, 1123, 0.1, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 306 and 16711?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 487414 is divided by 121851?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 6726 a multiple of 33?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*q**3\/5 - 135186*q**2\/5 + 54076*q.\nAnswer: -2*q*(q - 2)*(q + 67595)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -3 (b) 1 (c) -2.25\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 47.2 - 47. Let h = -4.2 - x. Let c = h + 3.4. What is the smallest value in 2\/11, c, -2\/7?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*n - 2557 + 2557 = 0 for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -181.5348*-0.162.\nAnswer: 29.4086376","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**1)**(2\/53)\/(g**(-7\/5)\/(g*(g*g*g*g\/(g**7\/g*g)*g)\/g)) assuming g is positive.\nAnswer: g**(-149\/265)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 18416445 to the nearest integer?\nAnswer: 66","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1061935222?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 357 + 315 - 4*c**3 + 4*c**3 - c**3 - 290.\nAnswer: -c**3 + 382","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -2.2+-14237535\nAnswer: -14237537.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = r**2 + 8*r + 3. Let y be j(-8). Let d(f) = y*f - 4*f + 3 - 2. Suppose -2*z + 6*z - 20 = 0. Calculate d(z).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 58 and 5629306?\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 204?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 0.91*-40\nAnswer: -36.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v = 18*f - 17*f + 37, 5*f + 131 = -2*v. Let t be f\/(-20) + 0 - (-2)\/(-2). Which is the smallest value? (a) -2\/7 (b) 6 (c) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 77 = 4*s - 3*o, s + 3*o = -o + 43. Let m be 2 - (0 + -1)*s. What is the greatest common divisor of m and 175?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -58*b**3 - 52*b**3 - 7*b + 111*b**3 + 25 + 0*b + 2 as d*b + y*b**2 + n + i*b**3 and give n.\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify d**(20\/7)\/(d\/d**(-1\/47))*(d**(-1\/10))**9 assuming d is positive.\nAnswer: d**(3079\/3290)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + ((2*sqrt(672) - sqrt(462)\/(sqrt(11) - sqrt(33)\/sqrt(3) - sqrt(11)))\/(-2*4*sqrt(96)))**2)*-4.\nAnswer: 457\/256","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2653 divided by -8.\nAnswer: 2653\/8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert 57.23136ml to litres.\nAnswer: 0.05723136","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1149379?\nAnswer: 7, 11, 23, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2\/(-1)*(-3)\/(-33)?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -76, 24, 112, 182, 228, 244, 224, 162?\n\"Answer: -x**3 + 107*x - 182","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 970 and 15978810?\nAnswer: 970","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:46 PM and 2:06 AM?\nAnswer: 260","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (4 + (2 - 4))*2. Suppose -g*h - 4 = -8*h. Factor 3*o + 1 - 2*o**2 + h - 2*o**2 - o.\nAnswer: -2*(o - 1)*(2*o + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -24*o**3 - 27*o**3 + 53*o**3 + 1 to the form s + n*o**3 + c*o**2 + d*o and give s.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 32 = 5*h + 4*f, 5179*h + 5*f - 40 = 5175*h for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is seven sixths of a minute in seconds?\nAnswer: 70","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 27359 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1020463 and 11943?\nAnswer: 1327","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:16 PM and 9:26 PM?\nAnswer: 490","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -16*t - 8 + 15 - 7 to q*t + k and give q.\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*u - 160*u + 6264 = 99*u for u.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 3.18 + -3.5. Let l = x + -0.38. Round l to 0 dps.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = -5*s - 7. Let h(w) = 14*w + 20. Let u(j) = 17*b(j) + 6*h(j). Let c(r) = -2*r + 2. Let g(q) = 3*c(q) - 5*u(q). Determine g(-8).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (5\/30)\/(4\/(-6)). Let m be 5*(3 + (-283)\/95). Let u = 99\/38 - m. Which is the third smallest value? (a) k (b) -0.3 (c) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = -2*x**3 - 10*x**2 + 3*x + 7. Suppose 4*k - 260 = 14*k. Let h be 15\/(-30) + k\/4. What is the tens digit of g(h)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2 + f**3 + 2 - 7*f**3 + 5*f**3 - f**3 + (-4*f**2 + 0*f**2 + 6*f**2)*(-4 + 4 - f) + 3*f**3 - 15 + 15.\nAnswer: -f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express -643*c - 468*c + 123*c in the form q + y*c and give q.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 703 - 686. Solve -y = -3*x - 14 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = r**3 - r**2. Let u(q) = 4*q**3 + 4*q**2 + 7*q + 2. Let a(s) = 3*n(s) - u(s). Give a(-6).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-3)\/(-20))\/((-14)\/(-56)).\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 88215?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -17750613 - 0?\nAnswer: -17750613","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13711 = -3*v + 5*c, 8*v - c = 9*v - 4557. List the prime factors of v.\nAnswer: 2, 2281","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*r = 5*m - 20, 24*r = 5*m + 20*r - 20 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = -130*r**3 - r - 1. Let l be o(-1). Let u = l + -73. What is the units digit of u?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine z so that 19*z**3 + 18517*z**2 + 5122800*z + 286942500 = 0.\nAnswer: -450, -1417\/19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 44309?\nAnswer: 59, 751","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 49*i - 48*i + 4*q = -15, 6*q + 35 = i for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 8541*i**3*v + 487*i**3 - i**2*v - 70*i*v - 2*i - 4*v - 1945 wrt i.\nAnswer: 51246*i*v + 2922*i - 2*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 347648 and 12160?\nAnswer: 33026560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) be the first derivative of 0*o + 1\/2*o**4 + 63 + 0*o**3 + 36*o**2 + 31\/5*o**5. Find the second derivative of n(p) wrt p.\nAnswer: 372*p**2 + 12*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -619.000293 - -619. Round o to 4 decimal places.\nAnswer: -0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 9269 - 25612?\nAnswer: -17354","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put together 113110 and 0.13.\nAnswer: 113110.13","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -40 = 5*w - 15 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round 411088.7 to the nearest one thousand.\nAnswer: 411000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -61 + 61. Suppose 4*h = 2*o - g*o - 28, 3*o + h = 7. Suppose -o*b = -991 - 105. Is b composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -2.5 + -0.5. Let x = -1872 - -1871. Which is the closest to x? (a) o (b) -0.5 (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence uzuu when four letters picked without replacement from uzuuzzz?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 89113 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**25)**16 assuming c is positive.\nAnswer: c**400","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence im when two letters picked without replacement from {i: 6, b: 12, m: 1}?\nAnswer: 1\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = -b**3 - 6 + 4 + 1 - 6*b - 86*b**2 + 91*b**2. Let z be w(3). What is the units digit of 376\/(-12)*6*z\/2?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -3\/5, 66.41, 2?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 51\/2 of a litre in millilitres?\nAnswer: 25500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 89 a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = h**3 + 18*h**2 - 19*h + 2. Let n be i(-19). What is the greatest common factor of n and 4?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = -26*t + 11. Let g(n) = -9*n + 4. Suppose -3 = -3*m + 3*z, 5*m - z + 11 = -4. Let u(j) = m*x(j) + 11*g(j). Let v(o) = 2*o**2. Determine v(u(a)).\nAnswer: 50*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is (76*(-57)\/(-1275774))\/(4\/38)?\nAnswer: 1\/31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) be the third derivative of x**5\/20 - x**3\/6 - 4*x**2. Let y be i(1). Suppose y*b - 4*b = -8. What are the prime factors of b?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2945 - 2948 - ((0 - -5) + 0).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -3065, -5700, -8425, -11240, -14145, -17140, -20225?\n\"Answer: -45*c**2 - 2500*c - 520","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -l**3*m*o**3*y - 17291*l**3*m*o**2*y - l**2*o**2 + 7*l**2*o*y - l*m*o**3 + 2*l*o**3 + m*o**3*y - 44*m*o**3 wrt l.\nAnswer: -6*m*o**3*y - 103746*m*o**2*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4776.124ug to kilograms.\nAnswer: 0.000004776124","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 700 divided by -3.\nAnswer: -700\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 73180 to the power of 1\/4, to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + (sqrt(7) - sqrt(21)\/sqrt(3)) - (-2*sqrt(7) + 0 - sqrt(7)))**2 - (3*sqrt(175)*3)**2.\nAnswer: -14087 + 30*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (2 + 608\/(-28))\/(1\/14). Let k = v - -287. What is the least common multiple of k and 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = j + 4*s - 30, 4*s + 90 = 4*j + 5*s. Let a = j + 56. Is a a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 287 a factor of 12746212?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-4 + 3 + 0)*(3 - 5 + 0) + 15 + 6 - 12)*(-z + 0 + 3 + 0).\nAnswer: -11*z + 33","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 19801 divided by 54.\nAnswer: 19801\/54","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of f*k**2*o + 225*f*k**2 + f*k + 9*f*o + 157*f - 793124*k**2*o + 3*k*o + 6*k + 2*o - 151 wrt k?\nAnswer: 2*f*o + 450*f - 1586248*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -4 - -7. Let d(i) = 2 + i**3 - 14*i - 21 - z + 11*i**2. Let v be d(-12). Solve v*o + 11 - 3 = 0 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -28592*-807.\nAnswer: 23073744","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 77468980?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 61.5 - 60.5. Which is the nearest to k? (a) 0 (b) 0.07 (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 45 - 22. Let o = 21 - i. Let u be (3 - o)\/(-1 + 0 + 0). Let k(n) = -n - 2. What is k(u)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f + 802 = 3*m - f, -5*f = -25. Let x = m + 329. Is x prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 1*(5\/(-20) + 0). Which is the second smallest value? (a) -4 (b) t (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 14895 and 6570?\nAnswer: 2174670","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 3264 - 1375. Is v a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (18\/4)\/(28 - 16) - (-266175)\/(-6760)?\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:33 PM and 10:00 AM?\nAnswer: 687","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = 2*n**2 - 80*n - 168. What is k(42)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = 591*p**2 + 35*p - 89. Let j(q) = -296*q**2 - 19*q + 45. Let d(k) = -5*j(k) - 2*o(k). List the prime factors of d(2).\nAnswer: 5, 239","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -392.1576 to 0 dps.\nAnswer: -392","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f + 36 = 3*l - 9, -3*f - 60 = -4*l. Let i = 165 - 90. Calculate the highest common divisor of l and i.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 97 divide 2412407169?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 17553821?\nAnswer: 1489, 11789","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 12 + -5. Let q = -5 + y. Sort 5, q, -5.\nAnswer: -5, q, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000015233 to 7 decimal places.\nAnswer: -0.0000152","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 41920?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t\/(t\/t**(-44)*t*t)*(t\/(t\/(t**(26\/5)*t*t)))\/t)**(6\/7) assuming t is positive.\nAnswer: t**(-1194\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) 2 (b) 386 (c) -1\/3 (d) -1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 20\/9 and -38\/58598757.\nAnswer: 58598757","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (102\/(-85))\/(3*(-4)\/30). Suppose 1265 = k*r - 2*c, 4*r = 5*c + 240 + 1435. List the prime factors of r.\nAnswer: 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -4 - 110476?\nAnswer: -110481","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 35638113 to the nearest integer?\nAnswer: 5970","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 2779795761 a multiple of 26?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 p and 1 l when three letters picked without replacement from llrrprrllpp?\nAnswer: 4\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 3152 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u - 4*u = 2*i + 4, 0 = u - 2. Let v = -5 - i. Let g = v - -7. What is the highest common factor of 25 and g?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -21*t**2 + 45 + 31*t + 10*t**2 + 10*t**2.\nAnswer: -t**2 + 31*t + 45","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (-37756)\/7546 + 43 + -38 and -29\/154.\nAnswer: 7546","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 3590468?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 33 - 6. Find the third derivative of -q*n**2 - 72*n**5 + 29*n**5 - 4*n**2 + 30*n**5 wrt n.\nAnswer: -780*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ooy when three letters picked without replacement from oodydoo?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor -b**3\/2 - 87*b**2\/2 - 208*b - 246.\nAnswer: -(b + 2)*(b + 3)*(b + 82)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-1 + 3 + 0)*(4 - 1 - 4) + 0 - 1 - 1)*(0*a - a + 0*a)*(a**2 - 5*a**2 + 3*a**2 + (-a - 2 + 2)*(-a - 3*a + 6*a) + 9*a + 2*a**2 - 9*a).\nAnswer: -4*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -1001010001100 (base 2) in base 15?\nAnswer: -1618","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(90))\/(sqrt(20)*1).\nAnswer: 3*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 42543.18 hours to nanoseconds.\nAnswer: 153155448000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -30*b + 62*b - 64 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v - 5*u - 7 = 0, 0 = 4*v - 3*u + u - 54. Let a = 18 - v. Solve a + 13 = 3*h for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4 * -9794355\nAnswer: 39177420","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25 = 4*f - f - 5*j, 29 = -5*f + 2*j. Let b(u) = 459 - 231 - 226. Let y(o) = -o - 4. Let q(w) = f*b(w) - 2*y(w). Calculate q(3).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t - 342 = w, 3*t = 3*w - 4*w - 372. Let b = -163 - w. Does 18 divide b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 102 and 132.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = -z - 7. Let t be j(-8). Suppose -b = -t + 3. Let q be (-6600004)\/(-10) + b\/5. What is q rounded to the nearest 100000?\nAnswer: 700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 385.6 to the nearest 10.\nAnswer: 390","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -7451\/468 - -393\/26. Find the common denominator of 89\/84 and k.\nAnswer: 252","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 8215255831?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 191202783 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = 3*m, -40 = 2*j + 2*m - 0*m. Let w = 179 + -170. Suppose -w*p - 28 = -7*p. Which is smaller: j or p?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine k so that k**3 - 174 + 0 - 139*k - 1519*k**2 + 1495*k**2 = 0.\nAnswer: -3, -2, 29","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1661273, -1661255, -1661237, -1661219, -1661201?\nAnswer: -1661183","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -8075 divided by 95\nAnswer: -85","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 406 and 1724398.\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 1189*v**4 + 80*v**2 - 218612*v.\nAnswer: 14268*v**2 + 160","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = 0*v**2 + v**2 + 12*v - 78 + 74. List the prime factors of c(-14).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -29\/6365 greater than or equal to -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = l**2 + l. Let x be j(1). Let g(f) = -f**3 - 2*f**2 + 2*f - 3. Let n be g(-3). Suppose -5*y + 1475 = -4*u - u, n = -u - x. Is y composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jcfj when four letters picked without replacement from jjcooofoocaffoffoj.\nAnswer: 1\/1224","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 2273799869285\/4784 - 475292617. Let m be 36\/897*(-2637)\/(-18) + -6. Let g = u - m. What is the common denominator of -89\/12 and g?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -695, -2, 2, 0, 118 in decreasing order.\nAnswer: 118, 2, 0, -2, -695","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5709198 is divided by 100.\nAnswer: 98","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 37858 = 24*k - 2*k + k. Calculate the remainder when k is divided by 103.\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*a + 44 = 10*a - 12*a. Solve -a*z = -3*z + 2 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = 4*b. Let t(u) = 1792*u. Give t(n(x)).\nAnswer: 7168*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -19 + (11 - 1 - -11) + (12 - -22).\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 184*a - 38*a + 25 - 25.\nAnswer: 146*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0021703 to 4 decimal places.\nAnswer: -0.0022","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) be the second derivative of o**7\/42 - 5*o**5\/4 - 13*o**3\/3 + o**2\/2 - 192*o. Find the second derivative of q(s) wrt s.\nAnswer: 20*s**3 - 150*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = -129*a. Let m(u) be the first derivative of u**4\/6 + 151*u + 177. Let b(w) be the first derivative of m(w). Calculate n(b(c)).\nAnswer: -258*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 7 + -8. Let d be -2*(-2 - 0\/v). Factor -3*o**2 - 24*o**d - 12*o**3 + 16*o**2 - 6 + o + 15*o**5 + 17*o**2 - 4*o.\nAnswer: 3*(o - 1)**3*(o + 1)*(5*o + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((o\/o**(-2\/41))\/o**(-2\/41))\/(o**(-7)\/o**17))**37 assuming o is positive.\nAnswer: o**(38073\/41)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -11303203 + 1203?\nAnswer: -11302000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = 33 - 6*k + 26*k**2 + 19*k**2 - 44*k**2 - 36. Determine l(4).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q + 5 = -2*z + 2*q, 0 = 5*z + 4*q - 45. Suppose z*y + 3*v = 25, 4*y + 5*v - 20 = 2*v. Solve -1 = -t - y for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -5 - -4.6. Let x = -12 - -8. Which is the third biggest value? (a) -1\/7 (b) w (c) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24*j + 11*j + 26 = 0. Suppose 4*i = -3*w - 78, 2*w - 4 + 56 = j*i. Sort w, 3, 4 in ascending order.\nAnswer: w, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_test"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -7? (a) -0.0593 (b) -0.3 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in 8.643066 nanoseconds?\nAnswer: 0.008643066","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -37 or -1320\/37?\nAnswer: -1320\/37","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = 175*v - 5180. Let h(f) = -11*f + 324. What is -63*h(o) - 4*n(o)?\nAnswer: -7*o + 308","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1335*a + 3 + 1355*a + 1389*a - 3 - 4081*a.\nAnswer: -2*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 9\/(-15) - 1\/((-10)\/8). Sort t, 0, -3, -0.06 in decreasing order.\nAnswer: t, 0, -0.06, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1389 is divided by 133?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = -50*m**2 + 2*m. Let d(v) be the first derivative of 7*v**2\/2 + 221. Calculate d(q(c)).\nAnswer: -350*c**2 + 14*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3 + 3 + 12 + -24.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 36686717 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = -11*y + 24. Let w(x) = 39*x - 72. Let v(p) = 7*i(p) + 2*w(p). Let d(u) = 26*u**2. Calculate d(v(z)).\nAnswer: 26*z**2 + 1248*z + 14976","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*4*(sqrt(833) + -2))**2.\nAnswer: -16128*sqrt(17) + 482112","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (31*l**2 + 3*l**2 + 2*l**2)*(6*l**2 - l**2 - 3*l**2)*(-5 + 3 - 1) to v + y*l + n*l**3 + u*l**2 + q*l**4 and give q.\nAnswer: -216","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -29 + 80. Let r = -1.885 - 49.563. Let v = z + r. What is v rounded to 2 decimal places?\nAnswer: -0.45","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 6095 or 9690?\nAnswer: 6095","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:23 PM and 10:56 PM?\nAnswer: 573","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11*g**3 + 3*g**3 - g**3 + 12*g**3.\nAnswer: 25*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 879642832 to the power of 1\/3, to the nearest integer?\nAnswer: 958","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*u**2\/3 + u\/2 + 1\/6.\nAnswer: -(u - 1)*(4*u + 1)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) be the second derivative of -f**4\/12 + 5*f**3\/6 - f**2 + 2*f. Let d(a) = -a**2 - 5*a - 2. Let i be d(-3). Let r be z(i). Is 2 less than r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 3681118 and 2629370.\nAnswer: 18405590","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 n when two letters picked without replacement from {o: 2, s: 2, n: 9}.\nAnswer: 6\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -522.08 rounded to the nearest 100?\nAnswer: -500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 35 divide 11539?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 14 - (-3)\/(-1 - 0). Let j be (2 - 1 - d)\/(-2). Solve -y = -3*k + 1 + 2, 5*k = y + j for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rt when two letters picked without replacement from {r: 3, a: 1, d: 1, b: 1, t: 1}.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 367650 to the nearest integer?\nAnswer: 606","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = 3*c - 2. Let g(y) = -56*y - 1 - 1 + 116*y - 6 - 48*y. Suppose l + 5 + 8 = 5*j, 3*j = 9. What is l*g(f) - 9*h(f)?\nAnswer: -3*f + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1491478 + 2802824. Let s(l) = 96*l**3 + 22*l**2 + 34*l + 222. Let j be s(45). Let g = j - f. Round g to the nearest 1000000.\nAnswer: 5000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ni when two letters picked without replacement from giinfnggugningi?\nAnswer: 8\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 d when two letters picked without replacement from {o: 1, k: 1, d: 2, p: 3, w: 1, n: 5}?\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Divide 12023105 by -10.\nAnswer: -2404621\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*f = 5*f + 269. Suppose 4*x - 5*z = -3*z + 218, -z + f = 5*x. Is x a multiple of 23?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 43747 is divided by 50.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -33749.63 rounded to the nearest 10000?\nAnswer: -30000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0 - -7. Let l = 8 - j. Sort l, -2, -5 in increasing order.\nAnswer: -5, -2, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 7*((-72)\/(-14))\/(-6)\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a = -4*f + 5*f - 76, 3*a = -f + 46. Suppose 4*i - a = -i. Solve v = -2*d - 7, -2*d - i = v - d for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1639 * -2.\nAnswer: 3278","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 312659303 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in s**2 + 635 - 1271 + 636.\nAnswer: s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express 188*h**2 + 10*h**4 + 3*h - 93*h**2 - 94*h**2 in the form r*h + b*h**2 + c*h**3 + z + q*h**4 and give b.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -729.9701 + -0.12\nAnswer: -730.0901","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 93 divide 170?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = 38*j + 1 - 1. Let n(i) = -433*i**2 + 5*i + 5. Let r(x) = 606*x**2 - 7*x - 7. Let w(m) = 7*n(m) + 5*r(m). Determine t(w(o)).\nAnswer: -38*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) be the third derivative of -3*k**7\/35 + 17*k**4\/12 - 15*k**2. Find the second derivative of v(d) wrt d.\nAnswer: -216*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 251832853 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Work out -15.23 * -1.\nAnswer: 15.23","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -3135 divided by -2\nAnswer: 3135\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4 + 8 - 1)*(-4*g + 13 - 13) to the form m + f*g and give f.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.761 to 1 dp.\nAnswer: -0.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from tuuuuuotttu. Give prob of sequence uuou.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = 6*d**3 - 4*d**2 + 5*d + 5. Let f(j) = 5*j**3 - 3*j**2 + 4*j + 4. Let u = 13 + -3. Suppose -6*o - u - 20 = 0. Calculate o*f(x) + 4*g(x).\nAnswer: -x**3 - x**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 494497 - 21053.5476\nAnswer: 473443.4524","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = -5*p**2 + 100*p - 7. Determine k(20).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5571828?\nAnswer: 2, 3, 29, 593","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 43 and 19.\nAnswer: 817","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = 106*v + 155*v + 115*v - 436*v. Let h(w) = 4*w**2 - 4. Give h(x(c)).\nAnswer: 14400*c**2 - 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 31\/44892 and -7\/478848?\nAnswer: 1436544","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand -5*j + 3*j - 3*j - 5*j + 3*j + 0*j + (-2*j - 2 + 2)*(3 + 1 - 3) + 1 - 1 - 3*j + 0*j + 5*j - 3*j.\nAnswer: -10*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = 276*f**3 - 4*f**2 + 39*f - 2. Let o(a) = -1105*a**3 + 18*a**2 - 155*a + 9. Let d(g) = -2*o(g) - 9*s(g). What is the second derivative of d(v) wrt v?\nAnswer: -1644*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -207 less than 0.07713?\nAnswer: 207.07713","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = -u**2 - 29*u - 103. Determine q(-4).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2129*b - 61633 = 19269 for b.\nAnswer: 38","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*r + 3*z + 2*z + 2, -z + 8 = -r. Let f be r\/70 + 4\/14. Which is the nearest to 1? (a) -2\/3 (b) f (c) -2\/11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = -640*i**3 + 7*i**2 - 386*i - 16. Let b(a) = 321*a**3 - 3*a**2 + 192*a + 7. Let z(t) = 7*b(t) + 3*d(t). Find the second derivative of z(k) wrt k.\nAnswer: 1962*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2614 divided by -26.\nAnswer: 1307\/13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: ((260\/(-2912))\/((-1)\/(-12)))\/(-6*(-7)\/84)\nAnswer: -15\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -3\/220036 or -1?\nAnswer: -3\/220036","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*i**2\/9 + 20455684*i\/9 - 52304375988482\/9.\nAnswer: -2*(i - 5113921)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 3575702762 to the nearest integer?\nAnswer: 1529","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v + 18 = 3*v. Suppose r + 5*t = 104, 0 = 5*r - v*t - t - 433. What are the prime factors of r?\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {l: 3, m: 1, s: 10, y: 1}. Give prob of picking 2 s and 1 y.\nAnswer: 9\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 38629 divided by -14\nAnswer: -38629\/14","meta":{"dup_signals":{},"source":"arithmetic__div_test"},"subset":"dm_maths"} +{"text":"Question: (((-247)\/52)\/19)\/(28\/120*36\/84)\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = 0 - 59*y**2 + 0 + 61*y**2. Let i(d) = -384*d**2. What is b(i(p))?\nAnswer: 294912*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -62 (b) 184 (c) -85\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = s**2 - s + 1. Let i(y) = 3*y**2 - y + 3. Let h(c) = -4*b(c) + 2*i(c). What is the units digit of h(-2)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = -260*d**3 - 2*d**2 + 7*d + 4. List the prime factors of w(-3).\nAnswer: 5, 11, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1500 (base 8) to base 12\nAnswer: 594","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -22 + 52?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let 121*g**4\/2 + 143*g**3 + 213*g**2\/2 + 26*g + 2 = 0. Calculate g.\nAnswer: -1, -2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -4 + 1 + (-450)\/(-170). Sort 3, d, -1.3 in decreasing order.\nAnswer: 3, d, -1.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 5736741 - 3326741. What is f rounded to the nearest one million?\nAnswer: 2000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 41\/2450 and -89\/6.\nAnswer: 7350","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -5*b + 3*b**5 + b**2 - 4*b**5 - b**2 wrt b.\nAnswer: -20*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/2? (a) 18 (b) 8 (c) -2 (d) -375 (e) -1\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express -6116*b**3 + 15*b - 11*b + 1 + 4*b**2 + 6167*b**3 - 2 as f*b + j*b**2 + r + c*b**3 and give j.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 17 and 12325.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = 3*n**2 - 96*n - 659. Let y be c(38). Sort 2, y, 8, -1.\nAnswer: -1, 2, 8, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 90 - 18. Suppose 2*w + 2*w = m. Is 10 a factor of w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -10*h**2\/19 - 101236*h\/19 + 40496\/19.\nAnswer: -2*(h + 10124)*(5*h - 2)\/19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is w in -20*w**3 - 465*w**2 - 2520*w + 2160 = 0?\nAnswer: -12, 3\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8*r - 6*r - 20*r - 12*r.\nAnswer: -30*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 34, 66, 92, 112, 126, 134?\nAnswer: 136","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*u + 5*p + 738 = -4*u, p = 2*u - 372. Let b = 409 - u. What are the prime factors of b?\nAnswer: 2, 3, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine w so that 51*w**5\/4 + 537*w**4 - 16935*w**3\/4 - 58875*w**2 + 122571*w + 15228 = 0.\nAnswer: -47, -9, -2\/17, 2, 12","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 ouujuvvvouggjgju.\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -23.7 - -24. Let s = 84 - 84. What is the third biggest value in -7\/6, w, s?\nAnswer: -7\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = -106*b**2 - 411*b - 402. Determine z(-1).\nAnswer: -97","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 545135 is divided by 1124?\nAnswer: 1119","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(-1\/6))**34 assuming y is positive.\nAnswer: y**(-17\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m = 8, 0*w - 2*w = -3*m + 2. Let l = 172 - 91. Let a = l + -81.3. Sort -0.6, a, w in decreasing order.\nAnswer: w, a, -0.6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-316)\/(-168) + 6\/21. Let m = -11\/6 + b. Suppose 2*w + 7 = -5*v + 22, -2*v + 2*w = 8. Is m at least v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2312\/9, 3, 0.14, 0.05 in decreasing order.\nAnswer: 2312\/9, 3, 0.14, 0.05","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) be the first derivative of -1\/3*l**3 - 3*l + 7\/2*l**2 + 1. Calculate the lowest common multiple of p(5) and 1.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -2\/3 (b) -0.06 (c) -200.6 (d) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 15 - 18. Let x be (-32)\/10 - w\/15. Let b be (-68)\/(-6) - (-1)\/x. Calculate the greatest common factor of 1 and b.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(2\/9)\/v**6)\/(v*(v**(2\/17)*v)\/v*v*v**(-3\/8)) assuming v is positive.\nAnswer: v**(-9205\/1224)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = -j**2 - 48*j - 1. Let p be u(-48). Which is the second smallest value? (a) 0.2 (b) p (c) -4 (d) -8\/19\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ddii when four letters picked without replacement from diiididddiid.\nAnswer: 5\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = -2*t - 1. Let k(y) = -y**3 + y**2 - 3*y - 2. What is -2*k(n) + 3*o(n)?\nAnswer: 2*n**3 - 2*n**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1 - 208\/(-32)) + -10?\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -342.0602 - -0.0602. Let f = b - -342.00287. Round f to 4 dps.\nAnswer: 0.0029","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 803 is divided by 61.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -985 + 88651\/90. Let x(k) be the third derivative of 0*k**3 - 1\/180*k**6 + 0*k**4 - w*k**5 - 3*k**2 + 0*k + 0. Factor x(b).\nAnswer: -2*b**2*(b + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 29333416 divided by -2888?\nAnswer: -10157","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(5 + 1 + (sqrt(162) - -3*sqrt(162)) + 1 + (sqrt(162) - (2 + sqrt(162))) + sqrt(162))**2.\nAnswer: 450*sqrt(2) + 4075","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k = 5 + 1. Let p be (16\/12)\/((-2)\/k). Suppose -p = -5*b - 0*f + 4*f, 0 = 5*f - 10. Solve 7*o = b*o + 3*u - 15, 3*u + 6 = -2*o for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 3a9 + -2?\nAnswer: 3a7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = 0 + 2*i - 2 + 7 + i**2 + i**3 + 6*i**2 - 8*i. Let n be ((-8)\/((-8)\/2))\/1. Suppose o = -k - 6, 2*o - 2 - n = 0. What is m(k)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -17.171 + -0.029. Let x = p - -15. Let l = -2.5 - x. Sort -2, l, -0.1 in decreasing order.\nAnswer: -0.1, l, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 137691 to the power of 1\/3, to the nearest integer?\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round 69300 to the nearest 100000.\nAnswer: 100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.2, 1\/4, 25465, -0.02 in ascending order.\nAnswer: -0.2, -0.02, 1\/4, 25465","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 269226?\nAnswer: 2, 3, 14957","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 965902?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 14 in -0.4, 2\/15, 3, -2\/17?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 180.01796 + -0.01796. Suppose -25 = 5*a + 5*q, -19 = 5*a + 4*q - q. Which is smaller: a or z?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 x when three letters picked without replacement from xxtxxxxttttxx?\nAnswer: 28\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m = -3*z + 1, -5*z - 5 = -0*z - 5*m. Put -0.5, -3, z in increasing order.\nAnswer: -3, -0.5, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 769738.1 litres in millilitres?\nAnswer: 769738100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = 5*z**2 - 1 + 4 - 10050686*z + 10050688*z. Let q = 1 + -3. Let t(w) = -21*w**2 - 9*w - 13. What is q*t(j) - 9*f(j)?\nAnswer: -3*j**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 9452 to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 7931494 to the nearest integer?\nAnswer: 199","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + -3*sqrt(252).\nAnswer: -18*sqrt(7) - 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 1568514863 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = u**3 + 5*u**2 - 2*u - 7. Let y be l(-5). Let t = 7 - 2. Solve -2*s + 14 = -y*x + x, -2*s + t*x = -23 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 15, 4, -1, 17, -5, -4, 42.\nAnswer: -5, -4, -1, 4, 15, 17, 42","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 157 and 66104536.\nAnswer: 157","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -1009 divided by -646\nAnswer: 1009\/646","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put 372, -3, -1 in ascending order.\nAnswer: -3, -1, 372","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**13)**(1\/78)\/(r**(1\/5)\/(r**(-9\/8)*r*r)) assuming r is positive.\nAnswer: r**(101\/120)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -154524148, -154524149, -154524150, -154524151?\n\"Answer: -u - 154524147","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4346441.\nAnswer: 11, 17, 2113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -141\/20 + 24313\/3460. Let l = v - -12315\/1384. Let b = 77\/12 + -7\/6. What is the common denominator of b and l?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 46600496.\nAnswer: 2, 103, 28277","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_test"},"subset":"dm_maths"} +{"text":"Question: Factor -10*m**3 - 2265*m**2 - 3365*m + 2250.\nAnswer: -5*(m + 2)*(m + 225)*(2*m - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 324697859?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-4)\/4)\/((-1)\/5). Let h be (-2)\/(-13) + (-567)\/(-117). Suppose 0 = 3*j + 3, -s*j = 3*w - h*w - 295. Round w to the nearest 100.\nAnswer: -200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {u: 7, m: 2}. What is prob of sequence umu?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -15 + 1 + (42 - 8) + (44 - 70).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -9357176, -18714436, -28071698, -37428962, -46786228?\nAnswer: -56143496","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g\/g**6)\/((g*g**(1\/14)\/g*g)\/g))**7 assuming g is positive.\nAnswer: g**(-71\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6875*k = -6907*k + 768 for k.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 152719?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = 11*b - 68. Suppose -42*l - l + 312 = 9*l. Calculate f(l).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = 54827*z. Let q(u) = 37*u**2. Give s(q(j)).\nAnswer: 2028599*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in six fifths of a milligram?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = -8*m**2 - 2*m. Let s(c) = 15*c**2 + 5*c. Determine 2*s(q) + 5*x(q).\nAnswer: -10*q**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -708*3\nAnswer: -2124","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 213592*i**3 + 102*i - 79481215 wrt i?\nAnswer: 640776*i**2 + 102","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 372 a factor of 1890614?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 8532?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16180 = -1887*y - 84112 for y.\nAnswer: -36","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or 25\/107146?\nAnswer: 25\/107146","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 f when two letters picked without replacement from {v: 1, k: 1, f: 3}?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 300 minutes before 11:18 AM?\nAnswer: 6:18 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = -476*l**3 + 3*l**2 + 3*l + 4. Does 8 divide v(-1)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*k + 35 = 4*r, 0 = -4*k - 0*r - 3*r + 27 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = -14 + 23 - 11 - 2*i. Let p be l(-2). Let v(r) = r**3 - 2*r**2 - 2. Determine v(p).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = 2*z + 4. Let n(y) = y + 3. Let o(x) = 10*x + 25. Let t be o(-2). What is t*n(u) - 4*q(u)?\nAnswer: -3*u - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -1.8 times -2.83112\nAnswer: 5.096016","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2053 = 99*b - 422 for b.\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 47 a factor of 14382?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0075301899 to four decimal places.\nAnswer: 0.0075","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 33362.26 and -11?\nAnswer: -366984.86","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) be the second derivative of -5\/19*p**3 + 1 - 14\/19*p**2 + 55*p - 1\/114*p**4. Factor b(z).\nAnswer: -2*(z + 1)*(z + 14)\/19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = 6*x**2 + 1. Let s be j(1). Let l(m) = -m**3 - 3*m**2 + m + 2. Let n be l(-4). Calculate the highest common divisor of s and n.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = 398*z + 1213. What is the remainder when 719 is divided by h(-3)?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.5 + -0.3. Let b = t - -0.1. Suppose 2*r = 3*r + 4. Sort r, b, 2\/3 in descending order.\nAnswer: 2\/3, b, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j - 3*t = t + 2023, j = -t + 2038. What is the units digit of j?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = 2*h**2 + h. Let a be r(1). Suppose 22 = a*q - 2*q. What is the remainder when q is divided by 18\/3*(-8)\/(-6)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*t - 4*t + 2*u = 78844, 4*u = -3*t + 47312. What is the units digit of t?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 5705\/2 - 2852. Which is the nearest to -2? (a) -650 (b) 4 (c) i (d) -0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -74*w + 253146 = 27109 - 198945. What is the units digit of w?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 34 - 1.015?\nAnswer: 32.985","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -492 + 493. Solve -2*h + 3 = -o for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 e, 2 q, and 1 j when four letters picked without replacement from {e: 4, j: 11, q: 4}.\nAnswer: 22\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 6\/7 in 2\/5, -5\/4, -0.1, 12?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 35707619 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 8\/(-44) - 13\/(-11). Let x be c\/(-5) + 2\/10. Factor 0 + 6\/5*t**3 - 3\/5*t**2 - 3\/5*t**4 + x*t.\nAnswer: -3*t**2*(t - 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 405009.3t?\nAnswer: 405009300000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(99)\/(sqrt(11)*-2))\/(-6*-1*sqrt(3)))**2.\nAnswer: 1\/48","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1 - -4. Let i(z) be the second derivative of -7\/3*z**y + 3*z**2 + 0 + z. Let w(p) = -5*p + 2. Give 3*i(s) - 8*w(s).\nAnswer: -2*s + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Determine f so that -2*f**5\/11 + 32*f**4\/11 + 42*f**3\/11 - 128*f**2\/11 - 136*f\/11 = 0.\nAnswer: -2, -1, 0, 2, 17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1453, 1, 55, 0, 5 in ascending order.\nAnswer: -1453, 0, 1, 5, 55","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -47 - -35. Let l be (-9)\/(c\/(-4))*-32. Let i = l + -40. Calculate the smallest common multiple of i and 22.\nAnswer: 616","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 289 minutes after 7:35 AM?\nAnswer: 12:24 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 473 a factor of 4679872742?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*c = -2*k - 205 + 228, -4*k + 0*c + 28 = -4*c for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 4725 a factor of 4566688875?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = 3*m + 3. Let g(j) = 936*j - 180. Give 2*g(i) + 120*k(i).\nAnswer: 2232*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 67.878 - -0.122. Let f = 68.0000022 - p. Round f to 6 dps.\nAnswer: 0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -65\/18 - -53\/18. What is the fourth biggest value in 0.4, g, 23, 4?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or -1\/627?\nAnswer: -1\/627","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -4? (a) 3\/5 (b) -5 (c) -1\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = -l**3 - l**2 + l. Let o be y(0). Suppose -n + 2 = -o*n. Let v = n - 4. Which is smaller: v or -1\/2?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 154\/10 + (6 - 21)?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = i + 8. Suppose 2*m = 5*f - 28, -3*f - 2*m = 2*f - 12. What is the remainder when f is divided by k(-6)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -101202111 (base 3) in base 10?\nAnswer: -7843","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3832 is divided by 71?\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = -2*y**2 - 18*y - 27. Let f be z(-6). Suppose -3*k = -f - 342. What are the prime factors of k?\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = -2*a + 13. Suppose 4*h = -4*u + 8, 6*u - 6 = 3*u - h. Suppose -d = -5*o + a, 0*d = 2*d - u*o - 12. Calculate the greatest common factor of d and 1.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 13*w + w - 7 + 7 - 5*w.\nAnswer: 9*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) be the second derivative of 29\/8*b**3 - 8*b - 1\/96*b**4 - 7569\/16*b**2 + 3. Factor w(y).\nAnswer: -(y - 87)**2\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) be the first derivative of -z**2\/2 - 580. Let f(b) be the second derivative of 21*b**3\/2 - 8*b. Give f(k(s)).\nAnswer: -63*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-43 - 44 + 26)*(157*v + 115*v - 308*v) to a + m*v and give m.\nAnswer: 2196","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -189771, -189869, -189967, -190065?\nAnswer: -190163","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.079, -4, -0.5 in increasing order.\nAnswer: -4, -0.5, -0.079","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 96464572 times 0.1\nAnswer: 9646457.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1.19 + 1.2. Let g = a - 2.01. Let v = -0.104 + 0.204. What is the closest to g in 3, v, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 793809865?\nAnswer: 5, 158761973","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 50 and 390?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -78 + 126. What is the units digit of m?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 415, 1\/2, -0.5, -1, -2\/5 in increasing order.\nAnswer: -1, -0.5, -2\/5, 1\/2, 415","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 13 + 2 + -2 - 2. Let n = -2 + -1. Let o = d + n. What is the units digit of o?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*w**2 + 0*w**2 - w**2)*(9*w**3 + 2*w**3 + 3*w**3 + 6*w**3 - 3*w**3 - w**3 + (3 - 2 - 3)*(2 - 2 - w**3)).\nAnswer: -18*w**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 918 - 916. What is the biggest value in -25, 1\/10, 2\/3, a, -14?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 27*f**3*m**2 + 7*f**3*m - 91*f*m**2 + 3*f wrt f?\nAnswer: 162*f*m**2 + 42*f*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + -3*(-3*(sqrt(143)*1 - sqrt(143))*6)\/(-2*-3*(sqrt(11) - -2*sqrt(11))).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-19)\/(-7) + (-38)\/(-133). Let w(u) = -5*u**2 + 2*u + 4. Let v(j) = -6*j**2 + 2*j + 5. Give m*v(z) - 4*w(z).\nAnswer: 2*z**2 - 2*z - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fff when three letters picked without replacement from {f: 4, z: 5, d: 3, t: 7}.\nAnswer: 4\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -0.4 * 0.38\nAnswer: -0.152","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.827588 minus 2.1?\nAnswer: -1.272412","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2000 is divided by 41?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (5\/90)\/(-1*-6*7\/(-336)).\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 57.41 + -24.71. Let o = 7.5 - 40.5. Let q = z + o. Which is the nearest to 0? (a) -1 (b) -4 (c) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -t**3\/3 + 98*t**2\/3 + 321*t - 7980.\nAnswer: -(t - 105)*(t - 12)*(t + 19)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 27 a factor of 7776?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (823\/823)\/((-2)\/(-8))?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*-1*(3*sqrt(5000) + -1))**2.\nAnswer: -10800*sqrt(2) + 1620036","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = -k**2 - 725*k - 3594. What is c(-5)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1*(13 - 33)*(-72)\/630 + 4\/2.\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = i**2 - 4*i - 44. Calculate z(9).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = x**3 - 7*x**2 + 8*x + 4. What is the remainder when c(7) is divided by 22?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 3\/13, 2\/5, -0.58743?\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -3.66, 0.1, 110, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 306 - -12?\nAnswer: 320","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 25 + -11. Let v(q) = 46*q**2 + 8*q + 22 - 10 - r - 13. Is v(4) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1.84365 + 0.15635. What is the second biggest value in -7, -126, r, -1\/4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 11.8884 - 0.0284. Let r = 11.76 - u. Let s = -6 + 4. What is the third biggest value in 1\/7, s, r, 0.2?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = c**3 + 11*c**2 + 9*c - 7. Let d be w(-10). Calculate the highest common factor of 9 and d.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + sqrt(72) + 5 - sqrt(72).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -111941*z**4 - 77197*z wrt z.\nAnswer: -1343292*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = -13 - 7*j**2 + 2*j**3 + 3*j - 3*j**3 - 14*j - 3*j. Let u be z(-9). Suppose 2*c + 3*c = u. Does 11 divide c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 71*o - 154*o + 102208 = -717*o + 22958 for o.\nAnswer: -125","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 19176242620 - 0.3?\nAnswer: 19176242619.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = 22*x**2 + 7*x - 38. Does 40 divide g(7)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-3)\/(33\/(-18) - -2). Let s = f - -7. What is the units digit of (11\/s)\/((-1)\/111)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 1004 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*l + 71*d = 52*d + 16*d - 48, -4*l - 4*d + 20 = 0 for l.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_test"},"subset":"dm_maths"} +{"text":"Question: Let u(r) be the second derivative of -r**8\/3360 + r**7\/630 - r**4\/2 - 5*r. Let y(l) be the third derivative of u(l). Find the third derivative of y(h) wrt h.\nAnswer: -12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (2 - (9 - 6))\/((-2)\/78) is divided by 8?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) be the first derivative of -j**3\/3 + 7*j**2\/2 - j - 53. Suppose 3*v - 6*v + 10 = 5*m, -35 = -4*m + 3*v. Give n(m).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from oopopooloolpop. Give prob of sequence pp.\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.019897 to 2 decimal places.\nAnswer: -0.02","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 8953 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.04111 rounded to 3 decimal places?\nAnswer: 0.041","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence adkd when four letters picked without replacement from {a: 2, d: 1, k: 11}.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + -3 + (-1*(sqrt(7) + 0) + 5 - ((1*sqrt(14))\/sqrt(2) + -2*sqrt(1008))))**2.\nAnswer: 308*sqrt(7) + 3437","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 minus 1170?\nAnswer: -1167","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6, -16, -2, -10.\nAnswer: -16, -10, -6, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Add 1175031830.642 and -1.03.\nAnswer: 1175031829.612","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Work out 2.477 * -2538.\nAnswer: -6286.626","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -134143, -136960, -141655, -148228, -156679, -167008?\n\"Answer: -939*i**2 - 133204","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = 131*a**2 - 3*a - 2. Let j be h(-2). Calculate the highest common divisor of 330 and j.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4 * -3778111\nAnswer: -15112444","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(sqrt(5) + 1) - (sqrt(5) + 1)*-2.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1607 is divided by 454?\nAnswer: 245","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 410, 3 in decreasing order.\nAnswer: 410, 4, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -157.8 + 157.77. Which is the second smallest value? (a) 4 (b) g (c) -1\/4 (d) -11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 - (-5 + (1 - -1)).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express (-793629 - 942*y**3 + 793629 - 404*y**3)*(-y + 0*y - y) as p*y**3 + j*y**4 + l + a*y + i*y**2 and give a.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = 192*i**2 - 1 - 186*i**2 - 13*i + 8*i. Let y(a) = 13*a**2 - 11*a - 2. Give 3*y(p) - 7*z(p).\nAnswer: -3*p**2 + 2*p + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 3.6 - -19.5. Let j = -23 + m. Let b = j - 0.1014. Round b to 3 dps.\nAnswer: -0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3 times 36.3\nAnswer: 108.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 86043420?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 1\/(-4) + ((-2175)\/(-12) - 1). Let o = 100 - w. Let u = o + 86. Calculate the remainder when 27 is divided by u.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: (1\/(-8))\/((-48 - -52) + 539\/(-88))\nAnswer: 1\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 6 - 5812d?\nAnswer: -58127","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 4}. What is prob of picking 2 i?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 139\/732 and -113\/108?\nAnswer: 6588","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m*m**(2\/49)\/m*m**11)\/(m\/(m**(-15)*m)*(m*m**(-2\/5))\/m))**33 assuming m is positive.\nAnswer: m**(-28776\/245)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 2\/205, -27524, 4 in decreasing order.\nAnswer: 4, 1, 2\/205, -27524","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 81807.\nAnswer: 3, 11, 37, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -42 + 50. Calculate the least common multiple of r and 4.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -6*r**4 + 12*r**5 + 10*r**4 - 12*r**3 + 4*r**3.\nAnswer: 4*r**3*(r + 1)*(3*r - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (126984\/24420)\/((-3)\/(60\/(-26))).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 minus 1.09?\nAnswer: -3.09","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1102696 and 3880?\nAnswer: 5513480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 1889*c - 163163 + 55490 for c.\nAnswer: 57","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 254116 or 2032931\/8?\nAnswer: 254116","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 31.8 + -20.8. Let u = -5.005 + 0.005. What is the closest to o in 2, u, -1\/7?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1.85 + 2931572017.\nAnswer: 2931572015.15","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -3, -2, 1, 10, -162.1?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 37 = 5*l - 2*b, -3*l + 31 = -b + 2*b. Let d be 3\/(l\/21 + 0). Suppose 0 = k - d. What is the highest common factor of k and 77?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -80 + 82. Suppose 2*k - n + 4 = 0, -t - k = -14. What is the units digit of t?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2966*y + 375*y + 20801 + 31019 = 0 for y.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_1d_test"},"subset":"dm_maths"} +{"text":"Question: Calculate (1\/2)\/(23\/(-46)).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = -11487*m - 333185. Calculate f(-29).\nAnswer: -62","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -30 + 32. Let v(b) be the first derivative of 1\/3*b**3 - 2 + b + 0*b**a. Find the first derivative of v(q) wrt q.\nAnswer: 2*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (183\/854)\/((-12)\/7). What is the fourth biggest value in -0.1, 42, 0.1, b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2068220\/275*(3 + (-4)\/8)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -2 + -14*(-20)\/130. Let p = 33 + -49. Which is the fourth biggest value? (a) -5 (b) p (c) 3 (d) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((12\/4)\/54)\/((-6)\/(-48))?\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 29\/5 of a tonne in kilograms?\nAnswer: 5800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*v - 2*v**2 + 2*v - 11*v)*(0 - 1 + 0)*(-4*v**3 - 25*v**3 - 42*v**3) + (v**2 + 4 - 4)*(0*v**3 - v**3 - v**3).\nAnswer: -144*v**5 - 923*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1937 and 11817.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2*(138\/(-36))\/(-23))\/(1\/27).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -3458538 < -3458539?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -265, -545, -837, -1147, -1481, -1845?\nAnswer: -2245","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 1220850 to the power of 1\/5, to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = u + 4, -u - 1 = 2*o - 3. Suppose -s = o*k - 12, k = 5*s - 3*k - 3. Suppose 0 = s*v - 27 - 30. List the prime factors of v.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.8168548 millilitres in litres?\nAnswer: 0.0008168548","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = -v**2 + 29*v + 238. Determine x(36).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = 2*r - 28. Let j be d(14). Let v(t) = t**2 + t + 6. Let s be v(6). Suppose j*z - 2*z + s = 2*h, z - 40 = -5*h. What is the tens digit of z?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 272367 is divided by 14.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = l**2 - 26*l + 99. Determine n(21).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -24621007 - 3?\nAnswer: -24621012","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*d - 4 - 14. Let o(q) = 35*q - 3. What are the prime factors of o(d)?\nAnswer: 2, 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = 6*y**2 + 9*y + 14. Let n be (-9)\/(-12) - 258\/24. Let x be -2 + n\/4 - (-4)\/8. What is the tens digit of t(x)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 111819, 111828, 111839, 111852?\n\"Answer: q**2 + 6*q + 111812","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4)\/(5\/(-20) + (-5)\/20)?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3098?\nAnswer: 2, 1549","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -307\/4 + 78. Let w = 6 + -10. Let l be ((-6)\/20)\/(48\/(-40)). What is the third biggest value in h, l, w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-4)\/5)\/(4\/(-70)). Let i be 4\/(-6 - 2)*6. Let a = y + i. List the prime factors of a.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -106983*i**4*o**2 - 38829*i**2*o - 9*i*o**2 wrt i.\nAnswer: -2567592*i*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-7 + 14 + -10 - -17) + 0?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*a - 4*a - 3*a to l + k*a and give k.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**5\/(a\/(a**(1\/2)*a)))**(42\/11) assuming a is positive.\nAnswer: a**21","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify u*u*u\/(u**(-13)*u)*u*(u\/(u**0\/u))\/u*((u*u**(2\/11))\/u)\/(u**(2\/7)*u) assuming u is positive.\nAnswer: u**(1224\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 2275585126?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = o**3 + 3*o**2 - o - 1. Let z be d(-2). Let h be (2\/1)\/(z\/10). Suppose 4*a + u - 18 = -3, -4*a = h*u. Sort 1, -3, a.\nAnswer: -3, 1, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t = -2*g + 47, 3*g - 3*t + 9 - 66 = 0. Let q(v) = -v**3 + 5*v**2 - v. Let o be q(5). Let l = 11 + o. What is the remainder when g is divided by l?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 15.33372 to the nearest one hundred.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from xwybqqxoowoooy. Give prob of sequence boyo.\nAnswer: 5\/3003","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*m + 5 = n + 8*m, -10 = -2*n - 2*m for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 11d (base 15) to base 7\nAnswer: 511","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 37344737 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 347 - 348. Let y(p) = -p - 17. Let q be y(-7). Which is the closest to m? (a) q (b) 0.3 (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2\/(-7))\/(((-1540)\/315)\/22).\nAnswer: 9\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((f**9\/f**(-2\/37))**(-13))**(-8\/5))**(8\/5) assuming f is positive.\nAnswer: f**(55744\/185)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*s - 419*s + 31*s + 5814018 = 0. List the prime factors of s.\nAnswer: 3, 1709","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = 26*p**3 + 4*p + 6. Let i(t) = -26*t**3 - 5*t - 7. What is 5*i(m) + 6*w(m)?\nAnswer: 26*m**3 - m + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*j**2 - 790*j**4 + 792*j**4 + 240*j**3 + 8*j - 242*j**3 = 0 for j.\nAnswer: -2, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 49, 38, 29, 22?\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -524 divided by 131\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19*v = 6*v - 100. Which is smaller: v or 38?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = -3*x + 2*x**2 - 5*x + 0*x**3 + 7*x**3 + 9*x. Let b(d) = 28*d**3 + 8*d**2 + 4*d - 1. Let j(k) = 2*b(k) - 9*y(k). Does 25 divide j(-2)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 167856951 to the power of 1\/2, to the nearest integer?\nAnswer: 12956","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 35 + -47 + 31 + -36.\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 1074706 - 1?\nAnswer: 1074705","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24*f = 947 + 517. Let w(k) = 3*k - 3. Let m be w(2). Suppose 0*i + m*u + f = i, i + 3*u = 55. Is i a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -3.1446 + 0.1446. Which is the nearest to 0.1? (a) z (b) -3\/14 (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n + 0*n - 2 = -v, 5*v - 10 = -4*n. Let t = -13 - -14. Let w = t - n. Let c(k) = 1. Let u(f) = -f + 1. Calculate w*c(j) + u(j).\nAnswer: -j + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*h - 12 = -n, -2*h = 2*n - 12 - 0 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*m - 3*h = -1, -14*m = -15*m + 7*h + 31 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1450 + -4478\/3. Let c = m + 41. Let u be (0 - (-13)\/6) + -2. What is the nearest to 2 in u, c, -4?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (492\/(-574))\/(8\/7)?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -13488*b**3 + 14223*b wrt b.\nAnswer: -80928*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 134625 (base 14) to base 3\nAnswer: 1020210120011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 108 and 20?\nAnswer: 540","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -11 - -17.8. Let h = -7 + l. What is the closest to 4 in 5, 0.5, h?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 1 (b) 0.7 (c) -0.5 (d) 1\/9 (e) 0.3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 17484720 to the power of 1\/3, to the nearest integer?\nAnswer: 260","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 21594 is divided by 148.\nAnswer: 134","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 124 and 217.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*z + z + 4*z)*(0 + 0 - 2) - 3*z + 2*z - z + (-2 - 12 - 1)*(3*z + 2 - 2).\nAnswer: -51*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 3 - -15. Suppose p + g = 3*p. Let n(d) = 3*d - 8. What are the prime factors of n(p)?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -2563, -5123, -7683, -10243, -12803?\n\"Answer: -2560*u - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 56? (a) 5 (b) -0.1 (c) -33 (d) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 2, -528, -0.1827, -0.4?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 i, 1 j, and 2 n when four letters picked without replacement from {n: 6, x: 2, j: 5, d: 1, w: 2, i: 1}.\nAnswer: 15\/476","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-216)\/(-160) - (133\/28 + -4). Let n = -393.6 + 394. Suppose c + 3 = h, 5*c = -0*c - 20. Sort m, h, n in descending order.\nAnswer: m, n, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-1)\/3 + (-1)\/(-3). Suppose -2*p + 1 + 3 = v. Let q = 68 - 30. Calculate the least common multiple of p and q.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 + -3 + -29 + 33.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 1581531033 to the power of 1\/2, to the nearest integer?\nAnswer: 39768","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) be the second derivative of -f**4\/6 + f**3 + 7*f**2 + 37*f. Let t(u) = -u**2 + u. Let q(n) = 4*b(n) - 4*t(n). Let q(o) = 0. What is o?\nAnswer: -2, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -40 - -38.4. Are -0.2 and h equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = 26*s**3 + 2*s**2 - 2*s. Give u(1).\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Determine g, given that 4*g**3 - 872*g**2 - 876*g = 0.\nAnswer: -1, 0, 219","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((21 - 16) + (-1 - 12) - -1) + 32.\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pr when two letters picked without replacement from {p: 1, r: 3, h: 2, f: 1, l: 3}?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 352971106?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l\/(l*l**(1\/7)))\/(l\/(l*l\/l**(-4)))*l**(-5\/6)*l*l*l*l**(2\/7)*l)\/((l**(1\/2))**(-1\/4)*l**(2\/19)*l**1) assuming l is positive.\nAnswer: l**(23395\/3192)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -2614, -5219, -7806, -10369, -12902, -15399, -17854, -20261?\n\"Answer: p**3 + 3*p**2 - 2621*p + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8852.928 centuries to years.\nAnswer: 885292.8","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*a + 0 - 2 + 16*a - 2 as j + v*a and give v.\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve b + 3*g - 5 = 0, 30*b - 32*b = 3*g - 4 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*i**2 + 4*i**2 + 0*i**2 + (53*i - 13*i - 10*i)*(0 + 0 + 2*i).\nAnswer: 62*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g\/(g*g\/g**7)*g*g**(15\/4)\/g*g)\/((g*g**(-1\/13))\/((g**(30\/7)\/g)\/g)) assuming g is positive.\nAnswer: g**(4409\/364)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 5, -7\/44, -6\/11?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*a**4 + 2*a**4 - 2*a**4)*(2 - 7 + 2 + (-3 + 0 + 4)*(1 + 0 + 0))*(-2 + 2 + 2).\nAnswer: -8*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6 + (2 - 3) + 4.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide -107 by -365.\nAnswer: 107\/365","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1734630, -0.9, 20 in decreasing order.\nAnswer: 20, -0.9, -1734630","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (31*j**5 + 7*j**5 + 3*j**5)*(-1 - 2 + 5) + (-3*j + 3 - 3)*(-3*j**4 + 0*j**4 + 4*j**4) + j**4 - j**4 - 2*j**5 + j**4.\nAnswer: 77*j**5 + j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = 2515*x. Let z(v) = 3*v**2. Determine r(z(u)).\nAnswer: 7545*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = -3*u**2 - 73*u + 155. What is k(2)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 395189?\nAnswer: 395189","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = 18*k - 3*k - 5 + 349*k**2 - 350*k**2. Does 2 divide h(4)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 716 a factor of 1400464590?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ci when two letters picked without replacement from uuiiouioucuo.\nAnswer: 1\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put 11, -5, 1277, 7 in increasing order.\nAnswer: -5, 7, 11, 1277","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 146700099 and 441.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 5435 + -2201. Does 22 divide d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 2220 and 38041365?\nAnswer: 555","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 11 + -9 + 2 - ((-8)\/4 + 10).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 37971?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 35\/16 and 17\/8?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 21.082139 rounded to 1 dp?\nAnswer: 21.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 33 + -35. Let l(i) = -3*i - 1. Let p(v) = -13*v - 3. Give n*p(o) + 9*l(o).\nAnswer: -o - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify k**(-1\/16)*(k\/(k\/(k*k**(2\/3)))*k*k*k*k)\/k assuming k is positive.\nAnswer: k**(221\/48)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -4413, -4539, -4661, -4779?\nAnswer: -4893","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 1704, -2956, 4 in descending order.\nAnswer: 1704, 4, -2956","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -69.6 + 69.6. What is the closest to -2\/11 in 1\/2, 0.03, r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = 1 - 1 - t**3 - 4*t + 1 - 5*t**2. Let h be k(-3). Let u = -0.7 + 0.2. Which is the nearest to -2\/7? (a) h (b) u (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*f + 467 = 3*f + 551 for f.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:37 PM and 7:48 AM?\nAnswer: 491","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -7, -12, -3?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 3.8, 0.2, -85267?\nAnswer: 3.8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -16361405*d**2 + d - 7627123?\nAnswer: -32722810","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = 3*w - 8 - w**2 - 6 - 4*w + 7. Let z(k) = 1. Let s(n) = n**2 + 7*n - 1. Suppose 0*v - 14 = 2*v. Let p be s(v). What is p*b(m) - 6*z(m)?\nAnswer: m**2 + m + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p - 1 = -5. Let v(x) be the first derivative of 3*x**2 - 3*x**p + x + 2 - x**2. What is the first derivative of v(d) wrt d?\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (5\/(-30)*3)\/((-1)\/(-6))?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -158, -703, -1738, -3365, -5686, -8803, -12818?\n\"Answer: -17*i**3 - 143*i**2 + 3*i - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = c**3 + 11*c**2 + 9*c - 22. Let o be (10\/(-25))\/((-3)\/(-75)). Let q be a(o). Let t(r) = r**2 + 14*r - 64. Let n be t(-17). Is n at least as big as q?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = -k + 3. Let m be t(8). Let w = 22 - 19. Is -3 - (m + w)*113 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -19 - -15. Let k = 3 + -1. Let o = 2928\/19 - 154. What is the closest to -2\/3 in n, k, o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 3\/8 of a micrometer?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j - 4*h = -2*h + 2, 7 = -4*j + 5*h. Let p(r) = -r - 2. Let k be p(-3). Determine f, given that 11*f + k - 11*f + 0 - f**j = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 10441 + 15054. Suppose 14*h - k = 316105. Round h to the nearest ten thousand.\nAnswer: 20000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 384 and 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: (195\/27 - 7)*(-6)\/4\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 649910.\nAnswer: 2, 5, 17, 3823","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 2298.855mg?\nAnswer: 2298855000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k - 66 = -2*n, -3*k + 5*n = -2 - 65. Solve -k = -7*b - 15 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -768 - -580. Let r = w + 187. Which is the biggest value? (a) r (b) 10 (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (312\/(-676))\/(4\/208).\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 25120244.\nAnswer: 2, 401, 15661","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -6*s + 2*d - 14, -9*s + d = -7*s + 3 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is (-15)\/21*(-15)\/(-25)?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:53 PM and 8:20 AM?\nAnswer: 507","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 3351748259 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 21*l**2 - 5*l**2 - 19*l**2.\nAnswer: -3*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*v**2\/7 - 12710578*v\/7 + 12710576\/7.\nAnswer: 2*(v - 6355288)*(v - 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is -28 greater than -76721\/2651?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*q + 2*q + 5*q + (-1 - 2*q + 128 - 19)*(0 - 1 - 1).\nAnswer: 7*q - 216","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w - 5*h = -31, w + w + 4*h - 14 = 0. Let d = 160\/209 + -18\/19. What is the biggest value in d, 3, w?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 6797687 or 6797710?\nAnswer: 6797687","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -29646*c + 29636*c + 6231 - 6231.\nAnswer: -10*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -16, 0, 4, 250, 10.\nAnswer: -16, -4, 0, 4, 10, 250","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 24 a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = p**2 + 4*p - 6. Let o be s(-6). Suppose -2*z = -3*g - 4*z + 14, 10 = 3*g - 2*z. Suppose -g*f = -2*i + 8, -2*i = f + 1 - 4. Solve -i*b + 0 = -o for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 520 and 157456?\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12*x - 21*x + 9 = 0 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express 2496*m**2 + 300*m - 302*m - 2 + 1733*m**2 in the form l*m**2 + k*m + p and give l.\nAnswer: 4229","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 428520 and 1480?\nAnswer: 15855240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 + (135 + -117 - (10 + 1))?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 1442 to the power of 1\/2, to the nearest integer?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 214679515?\nAnswer: 5, 42935903","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*j**2*u - 16022093*j**2 - 35*j - 124047*u wrt j?\nAnswer: 4*u - 32044186","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -1d00299d - 5?\nAnswer: -1d0029a2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = j - d - 160, -2*d = -j + 5*j - 622. Is j a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 60*r + 48800 = 10*r. Which is bigger: -975 or r?\nAnswer: -975","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 25, -172\/123, 1\/4, -0.02, -0.1.\nAnswer: -172\/123, -0.1, -0.02, 1\/4, 25","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 23 + -21. Solve 5*c - t*n + 9 = -1, 5*c + 10 = -2*n for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = -p**2 - 10*p + 19. Let x = -1139 + 1125. What is r(x)?\nAnswer: -37","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 2 + -bcf30?\nAnswer: -bcf2e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3442 = -7*x - 3036. Calculate the remainder when 193 is divided by x.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 22012 - -2022002220?\nAnswer: 2022102002","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/5? (a) 0 (b) 1786 (c) -0.011\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 94013.5um to kilometers.\nAnswer: 0.0000940135","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 0 - -110111212221220?\nAnswer: 110111212221220","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1501.8 + 1502. What is the nearest to 2\/7 in 0.22, 1\/8, s, -5?\nAnswer: 0.22","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.8 and 11715.34.\nAnswer: 9372.272","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((x\/(x*x\/x**15))\/x)\/x*x*x**(2\/31))\/(x**14\/(x**(5\/6)\/x)) assuming x is positive.\nAnswer: x**(-205\/186)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express 5*n**2 + 6*n**2 + 2*n**3 + n**4 - 10*n**2 as z*n**2 + l*n + k*n**4 + m + h*n**3 and give z.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 250 a factor of 574750?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(sqrt(20)\/((sqrt(10)*-2 - sqrt(10)) + sqrt(10)) + sqrt(2)).\nAnswer: -sqrt(2)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3196 is divided by 160?\nAnswer: 156","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 32 + 37?\nAnswer: 70","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify r**4\/((r\/(r\/(r\/((r\/r**1)\/r)))*r)\/r)*(r**(-4)\/r)\/r**(2\/9) assuming r is positive.\nAnswer: r**(-29\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1347 + 1430.19. Let f = p + -84. What is f rounded to one dp?\nAnswer: -0.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = 4*k**3 + 25*k**2 - 11*k + 74. What is v(-7)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -28a096 (base 11) in base 13?\nAnswer: -12b04b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from kkkmkkmkkmkkkkkkmnmn. Give prob of sequence knkm.\nAnswer: 13\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = s**3 + 3*s**2. Let m be z(-2). Suppose -k + 3 - m = 0. Let y = k + 6. List the prime factors of y.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y**(-2\/7)\/(y*y\/y**(-2\/35)))\/(y*y**11)**(17\/5))**(28\/9) assuming y is positive.\nAnswer: y**(-1208\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -654, -659, -676, -711, -770, -859?\n\"Answer: -q**3 + 2*q - 655","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 9\/(-252) - (-2)\/(-8). Let o = 281 - 287. Which is the second smallest value? (a) t (b) -1\/5 (c) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5613620 a multiple of 20?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y\/y**(1\/4))\/y*y**(4\/7)\/y*(y*y\/y**(-3\/8))\/((y\/((y*y**(3\/4))\/y)*y*y)\/y*y))**(6\/5) assuming y is positive.\nAnswer: y**(-93\/140)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -40.5 - -40.2. Let s = 0.4 - 3.4. Let u = s + 2.5. What is the third biggest value in 1\/2, y, u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -48 + 1 + (30 - 31) - (-9 - 10)?\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4*9.104.\nAnswer: -36.416","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 18373270 from -252650.\nAnswer: -18625920","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -364 + 362. Let w be ((-8)\/c)\/(8\/(-16)*-2). Sort 0.1, 11, w, 5.\nAnswer: 0.1, w, 5, 11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*l = l + 3. Sort -4, l, 7 in ascending order.\nAnswer: -4, l, 7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -663*v + 677*v = 0. Which is the third biggest value? (a) -1\/6 (b) 7 (c) v (d) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 5338975 to the nearest integer?\nAnswer: 2311","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 70039 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-15)\/(-40))\/((-3)\/(-2)).\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = -2*n**2 - 10*n - 5. Let g be i(-4). Let u = 6 - 9. Put g, u, 2 in decreasing order.\nAnswer: g, 2, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v + q + 2*q - 9 = 0, 5*v = -3*q. Sort 12, 4, v.\nAnswer: v, 4, 12","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(14)\/(sqrt(700)*2).\nAnswer: sqrt(2)\/20","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 110*n - 480 = 106*n. Calculate the greatest common divisor of n and 420.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from iiaiiiaiiaiaiiuiuu. Give prob of sequence ui.\nAnswer: 11\/102","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 42787 times 0.5?\nAnswer: 21393.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -2 times -403.63559\nAnswer: 807.27118","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = 6337042*w**2. Let h(a) = 2*a**2. Calculate u(h(j)).\nAnswer: 25348168*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -1033023032 (base 4) to base 8\nAnswer: -1171316","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 18 - -47. What is the remainder when r is divided by 17?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2210018 or 13260103\/6?\nAnswer: 13260103\/6","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -4, 0, 1, -25, 4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = 271*l**2 - 104*l - 219. Calculate d(-2).\nAnswer: 1073","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1417439\/2774 - -85094929000\/9709. Let s = 8768197 - f. Let x = s - 4164. Find the common denominator of x and -71\/4.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -42 + 103*k - 105*k + 42.\nAnswer: -2*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*a + 9*a + 10 = 0. Let u(h) = 18*h**3 + 25*h**3 + 19*h**3 - 5*h**a - 61*h**3 + 5. Give u(5).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-15)\/(-6)*(-24)\/(-20). Let z(x) = -6*x - c - 1 + 4*x + 3 + x**3 + 2*x**2. Calculate z(-3).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) -31 (b) -1\/6 (c) 10 (d) 2\/5 (e) -0.2 (f) -71 (g) -0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.59 * -0.042108.\nAnswer: -0.02484372","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = -r**3 + r**2 + r + 1. Let u be b(0). Let o be ((-432)\/(-1512))\/(2\/(-28)). Let w = u - o. What is the remainder when w is divided by 3?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -6428748 by 1.\nAnswer: -6428748","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -672 = 3*a - r - 641, 184 = 4*r for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = -z**3 + 19*z**2 + 20*z + 14. What is the lowest common multiple of f(20) and 3?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2254?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = 2*z**2 - 4*z**2 + 117090 - 117083 + z. Let l(m) = 2*m**2 - m - 6. Let o(t) = -t**2 - 9*t - 8. Let j be o(-7). Calculate j*l(v) + 5*g(v).\nAnswer: 2*v**2 - v - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 15 + (-12 - 31) - (-10 - -3).\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 6\/1*(-264)\/(-144) - (0 + 3). What is the greatest common factor of 34 and z?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = p**2 + 0 - 3 + 4*p - 2*p. Let u be x(-4). Suppose 2*q = -3*v - 3, 3 + 0 = 3*q + 2*v. Solve u*m = 5*c - 35, 2*m + q*c + 7 = -2*m for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*y = 2160 - 120. Let p = y + -118. What is the tens digit of p?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -241 divided by 4\nAnswer: -241\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 65 + -65. Which is the nearest to 0? (a) 0.5 (b) y (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 10\/50 + 828\/10?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 28 + -14. What is the greatest common divisor of 70 and u?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find c, given that 35*c**5 + 470*c**4 + 1715*c**3 + 260*c**2 - 4720*c + 2240 = 0.\nAnswer: -7, -4, 4\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = 72*r - 67. What is the hundreds digit of g(14)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5\/470112 less than 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 11078155609 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) be the second derivative of 15*r**3\/2 - 36*r + 2. Let g(j) = -6*j**2. Determine g(t(f)).\nAnswer: -12150*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(-5)\/s*s)**(3\/20) assuming s is positive.\nAnswer: s**(-3\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put together 1 and 28923992193176.\nAnswer: 28923992193177","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = 2*m + 3. Let h(l) = 2*l + 2. Suppose g - 3*g + 8 = 0. Suppose -g*i - 13 = 11. Let s(x) = i*h(x) + 7*t(x). What is s(-6)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (0\/(-2))\/(-2)*-1. Suppose c + 2*c = q. Solve -1\/2*g**2 + 0*g + c + 1\/2*g**3 - 1\/2*g**5 + 1\/2*g**4 = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 45 or -2\/143?\nAnswer: 45","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-five quarters of a milligram in micrograms?\nAnswer: 6250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from yyyyhnythhhtywwwyyw. What is prob of picking 1 w, 1 y, and 2 h?\nAnswer: 16\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand -1 + w + 1 + 711 + 61*w - 711 + (0*w + 3*w - w)*(-1 + 3 - 1) - 5*w + 8*w + 3*w + 0*w + w + 2*w + (2*w + w - 4*w)*(3 - 3 - 2) - 2*w + 6*w - 3*w.\nAnswer: 76*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-473)\/1386)\/1 - ((-1)\/(-21) + 9\/(-27))?\nAnswer: -1\/18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -10, -12, 4 in descending order.\nAnswer: 4, 3, -10, -12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(51)\/(sqrt(12)\/(-1*sqrt(4))).\nAnswer: -sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 99435?\nAnswer: 3, 5, 7, 947","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 29*d - 48 = 5*d for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 200583 or 1002922\/5?\nAnswer: 200583","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from xsxsxslsisas. What is prob of sequence slxs?\nAnswer: 1\/132","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = d**2 - 3. Determine q(-6).\nAnswer: 33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.1, -285\/7, -2 in descending order.\nAnswer: -0.1, -2, -285\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.08 + 6.92. Let z = s + -3. What is the closest to 0.1 in z, -5, -4?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -54 - -59. Suppose -5*f - 6*g = -2*g - 1344, -4*f + 1068 = l*g. What is the units digit of f?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-40*(-40)\/6400)\/((-1)\/(-88))?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -112, -332, -654, -1078?\nAnswer: -1604","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 2\/(-3)*(2 - (-15)\/(-12)). Which is the nearest to 2\/25? (a) 2\/7 (b) y (c) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3 (base 9) to base 2.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-387)\/18)\/((-2)\/12). Suppose -5*u - 5*j = -250, 0*j + r = 3*u - 4*j. Is u a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13 + 14 = b for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*f + 100 = -28*f. Let r be ((-55)\/f)\/66 + (-38)\/84. Which is the third smallest value? (a) -0.12 (b) -1\/3 (c) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -1.31 (b) 2\/9 (c) -1\/7 (d) -0.5 (e) -6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:41 AM and 1:33 AM?\nAnswer: 52","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is thirty-one halves of a tonne in kilograms?\nAnswer: 15500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s**5\/5 + 7*s**4\/5 - 2*s**3 = 0. What is s?\nAnswer: 0, 2, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 (base 13) in base 2?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {i: 3, q: 2, p: 1, z: 5, k: 1, m: 1}. Give prob of picking 1 k, 1 m, 1 p, and 1 q.\nAnswer: 2\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor -g**4\/5 + 443*g**3\/5 + 181*g**2 - 1335*g.\nAnswer: -g*(g - 445)*(g - 3)*(g + 5)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 67122353 + 3?\nAnswer: 67122356","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = -2*a - 12. Let n be p(-8). Suppose 2*k - i = -4*i - 11, 2*i + 12 = k. Let q = k + n. Let y(j) = j. Let z(f) = -8*f - 2. What is q*y(t) + z(t)?\nAnswer: -2*t - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + 0 + sqrt(567)*1 + ((sqrt(567) + (sqrt(567) + 1 - sqrt(567)))*-4)**2 + -4.\nAnswer: 297*sqrt(7) + 9081","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 3679 times -1.05\nAnswer: -3862.95","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1595*b - 1133*b - 1822*b.\nAnswer: -4550*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 8558 - 8558 - 5770*g to r + v*g and give v.\nAnswer: -5770","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -231*h**2*o**3 - 2*h**2*o**2 + 2*h**2 - 512*h*o**3 - 50*h*o - 844*o**2 - 2*o wrt o.\nAnswer: -1386*h**2 - 3072*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 96 = -0*r + 4*r. Suppose 1 + r = u. What is the tens digit of u?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = -9. Let o(c) = -c + 13. Let a(h) = 5*i(h) + 5*o(h). Give a(4).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 113\/66186 - -513597449\/231651. Let m = g + -2217. Let o = m - -3\/14. Sort 3, o, -3.\nAnswer: -3, o, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -74, -72, -70, -68, -66?\n\"Answer: 2*u - 76","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = 123*m - 1774. Calculate z(15).\nAnswer: 71","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 44881, 44884, 44887, 44890?\n\"Answer: 3*z + 44878","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = 11*s**2 + 2*s - 11. Calculate r(3).\nAnswer: 94","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 302797 is divided by 60557.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 163214 + -43565?\nAnswer: 119649","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = q - 33. Let z be o(15). Let g = -17 - z. Let d = 3086 + -58616\/19. Which is greater: d or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 o when two letters picked without replacement from {o: 10}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -372, -744, -1116?\n\"Answer: -372*q","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -218*y**3 - 10*y + 227*y**3 + 10*y.\nAnswer: 9*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 14b (base 13) to base 3\nAnswer: 22121","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 4627?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 31 - -24?\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-13500)\/32*-2 - 1\/(-4). Suppose -z = -8*p + 4*p. Is p a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 718029, 718037, 718045?\nAnswer: 718053","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 41246 + 166?\nAnswer: 41423","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -19 = -9*o - 8*l + 6*l + 4, -o - o - 2*l = -5*l + 19 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o - 4*q = 4*o + 8, 4 = -3*o - 4*q. Let r(x) be the first derivative of -2 - 1\/3*x**6 + 0*x + 3\/2*x**o + 2*x**2 + 10\/3*x**3 - 2\/5*x**5. Factor r(n).\nAnswer: -2*n*(n - 2)*(n + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = 15*q + 4. Let l be s(1). Let o = 78 - l. List the prime factors of o.\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 19\/40 - -1\/40. Let s(j) be the first derivative of j - m*j**2 - 5. Calculate s(2).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(950) + sqrt(950)*2 - (sqrt(38) - sqrt(418)\/(sqrt(11) + sqrt(275))))\/(-1*sqrt(200)*-1))**2.\nAnswer: 5491\/144","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = -4*r - 61. Let f be p(-20). Solve 4*g - 3*t - 15 = 0, f = -5*g - 5*t - 6 for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5834 (base 9) to base 4\nAnswer: -1003210","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-4)\/(-5))\/(4\/100). Suppose 0 = -j - 15 + k. Suppose j*c + 1 = 31. Calculate the least common multiple of 4 and c.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (42\/49)\/((-8)\/28).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -39558 + 949541\/24. Find the common denominator of -85\/88 and c.\nAnswer: 264","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -1b83967 + 5?\nAnswer: -1b83962","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand -1 + 2*p**5 - 5*p**5 - 1 + (-p**2 + p**2 - p**2)*(-3 + 3 + 2*p**3) + p**5 + 2*p - 2*p + 2*p**5 - 4 + 4 - 58*p**5 - 138*p**2 + 138*p**2.\nAnswer: -60*p**5 - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in fifty-seven halves of a millennium?\nAnswer: 28500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -22 + 1395*o - 799*o + 22 + 1768*o.\nAnswer: 2364*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((5 + sqrt(288) + 1 + 0)*3 - (3 + (3 + (sqrt(288)*-1 - sqrt(288)) - sqrt(288)))*-5)**2*5.\nAnswer: -69120*sqrt(2) + 218880","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 2142025197?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -2824 + 8382?\nAnswer: 585b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 4738 and 412?\nAnswer: 206","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -25 + 45. Let r be (16\/n)\/(4\/290). Is r - (-3 + (5 - 1)) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 71935 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(5 + ((((sqrt(84) - sqrt(84)*-3)*-6)\/sqrt(12))**2 + (((sqrt(63) - sqrt(1008)) + sqrt(63))\/sqrt(9) - (sqrt(126)\/sqrt(2))\/sqrt(9)))*-6).\nAnswer: -18*sqrt(7) + 24187","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -19*s - 4*s - 2*s**2 + 68*s - 7*s.\nAnswer: -2*s**2 + 38*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 9000 + -9000. Solve -56*i + 0*i - 168 = a for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = -4*t**2 - 6*t + 6. Let h(j) = -5*j**2 - 7*j + 7. Let w(a) = 3*h(a) - 4*l(a). Let o be w(-4). Let s = 14 - 9. Sort s, o, 0 in increasing order.\nAnswer: 0, o, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 20*h - 56*h + 149 + 283. Solve h = 130*j - 124*j for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.03 + 0.13. Let f = s - 0.26. Let q = -0.1000122 - f. What is q rounded to six dps?\nAnswer: -0.000012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 70*i - 54*i = 64. Let w(p) = -p**2 + 2*p - 4 - 2 + 3*p. Give w(i).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = 12 - t + 1 + 2. Let u be q(5). Suppose -7*d - u = -9*d. What is the remainder when 9 is divided by d?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((3 - 3 - 2)*(-2 + 2 - 2*k**3) + 3*k - 3*k**3 - 3*k)*(6 + k + 0 - 4).\nAnswer: k**4 + 2*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = -h**2 + 4*h - 2. Let v(p) = 5*p**2 - 10*p + 5. Let y(x) = -5*s(x) - 2*v(x). Let d(u) = -2*u. Calculate d(y(w)).\nAnswer: 10*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 1.5 (b) -0.86 (c) -2\/9 (d) -23 (e) -2\/11 (f) -6\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:38 AM and 11:03 AM?\nAnswer: 265","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 26?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -932445, -1864996, -2797523, -3730014, -4662457, -5594840, -6527151, -7459378?\n\"Answer: 2*s**3 - 932565*s + 118","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 + (-1 - (7 + -8)) + -5 + 12?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 14 (base 6) in base 16?\nAnswer: a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = 5*y. Let b(z) be the second derivative of -47*z**3\/2 - 17*z + 302. Determine a(b(k)).\nAnswer: -705*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 1452*d**3*p*s + d**3*p - 3*d**3 - d**2*p + 1131*d**2 - 67*d*p - 43619*p*s + 2*p wrt s?\nAnswer: 1452*d**3*p - 43619*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((6\/(-10))\/((-53)\/(-265)))\/(-2).\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 2293, 4621, 6947, 9271, 11593, 13913?\n\"Answer: -s**2 + 2331*s - 37","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i = -3*w - 8, -i - 5 = 4*w - 0. Let l be (-3)\/((-7)\/w*-1) + 0. Which is the second smallest value? (a) 0 (b) l (c) 3\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -772, -4102, -12554, -28684, -55048, -94202?\nAnswer: -148702","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 316 = -o + 321. Factor 26*v**5 - 14*v**5 - 5*v**3 + 6*v**4 + 14*v**3 + 4*v**2 - 11*v**o.\nAnswer: v**2*(v + 1)**2*(v + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 449.251870005 + 184.748131791. Let z = 634 - q. What is z rounded to six dps?\nAnswer: -0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = 64*l. Let f(s) = -9*s. Let m(j) = 20*f(j) + 3*y(j). Let x(r) = r. Give x(m(w)).\nAnswer: 12*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -68690*y**2 + 114635 wrt y?\nAnswer: -137380*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-z - 2*z + 5*z)*(-18 - 35 - 21)*(-5 + 2 + 1)*(-1 - 3 + 3).\nAnswer: -296*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = 13*o - 3. Let q be ((-3)\/(-2))\/3*-6. Let a(p) = -14*p + 4. Let k(y) = q*v(y) - 2*a(y). Calculate k(-1).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*y**2 + 331981242901851 - 331981242901851.\nAnswer: -4*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = g**2 + 14*g + 4. Let x = -17 + 3. Let m be o(x). Let l be 2\/5 + 6\/10. Is m greater than l?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(1\/10)*((z**(4\/3)*z*z)\/z*z)\/z)**(-25\/2)*((z**0)**(-12))**(-8\/3) assuming z is positive.\nAnswer: z**(-365\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 18 + 2)*(2*p - 7*p + 4*p)*(744 + 43*p**3 - 744).\nAnswer: 645*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*d**3 - d**3 - 3*d**3)*(15 - 5 + 7) - d**3 - 4*d**3 + 4*d**3.\nAnswer: -35*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert 87940 (base 10) to base 9.\nAnswer: 143561","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {c: 2, r: 3, s: 5}. What is prob of sequence scc?\nAnswer: 1\/72","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1581717452?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*x - 3*x**2 - 12 + 4*x**2 + x**2 + 7 to q*x**2 + u + g*x and give u.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -2805, -1995, 135, 4245, 10995, 21045, 35055?\n\"Answer: 110*i**3 + 40*i - 2955","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -110000110100000000101 (base 2) to base 3\nAnswer: -10000021002111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = 4*n**3 - 2*n + 2. Let d be ((-54)\/(-243))\/(2\/(-9)). Suppose 0 = b + b + 4. Let y be ((-1)\/b)\/((-3)\/12). Let r(p) = p - 1. Calculate d*q(v) + y*r(v).\nAnswer: -4*v**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.169 * -179534.6.\nAnswer: -30341.3474","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-5)\/3 + (-4)\/(-6). Let p(s) = -25 + 16 - 8*s + 10. Let o be p(q). Solve -5*i + 5*w = 0, -2*w + 1 = o for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 3 (b) -0.5 (c) 0.04 (d) -1\/258\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-4)\/(-18) - (-2)\/(-9). Suppose d = -5*z + 18 + 27. What is the units digit of z?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 418 divided by -2.\nAnswer: -209","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -10021672 or -10021673?\nAnswer: -10021672","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1 - 1.2. Let k = 4 + -8. Let p = 55055.1 - 55055. Which is the closest to p? (a) 4 (b) k (c) d\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 20 - 20 - 37*c + 8*c.\nAnswer: -29*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((o\/(o\/o**(-3)))\/o)\/(o*o**6)*o**(-6)\/(o\/o**6))\/(((o*o**(2\/9))\/(o\/o**(-3)))\/((o\/o**5)\/(o*o**(-4\/7)*o))) assuming o is positive.\nAnswer: o**(-923\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 9968*u**2 + 1884*u**2 + 3380*u**4 - 356*u**2 - 317*u**2 - u**3 + 1421*u**2 wrt u?\nAnswer: 81120*u - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ww when two letters picked without replacement from {t: 9, w: 11}.\nAnswer: 11\/38","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*f - 240 = -13*f. Suppose -6 = 2*g, 2*g + 57 = 4*d + 3*g. Calculate the greatest common factor of f and d.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1195496, -2391004, -3586512?\nAnswer: -4782020","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*v - 4*w + 12, v + 5*w - 28 = -29 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = -y**2. Let f(x) be the first derivative of -x**2\/2 + 10*x + 1. Let v be f(8). Let q(r) = -r - r**2 - v*r + 3*r. Determine u(q(b)).\nAnswer: -b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.0132, 3\/2, 0.4, 0.07, 5, 17 in ascending order.\nAnswer: -0.0132, 0.07, 0.4, 3\/2, 5, 17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 33638 to the power of 1\/2, to the nearest integer?\nAnswer: 183","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = 5*g - 4. Suppose -5*r + 4*l + 14 = -3, 2*l = 2*r - 6. Let w be r - 3\/3 - -3. Is u(w) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 65 = 14*g + 9 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 35977909 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*z + 46 - 6. Let t = 47 + -41. Calculate the highest common factor of t and z.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 g, 1 l, and 1 x when four letters picked without replacement from bgxlgjg.\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 6124598 to the power of 1\/2, to the nearest integer?\nAnswer: 2475","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = 462*i - 600. Let s be g(2). What is the greatest common factor of s and 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 3, 3\/11, -0.1, 0.02, 1\/3, 2\/39?\nAnswer: 2\/39","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 176246\/18 + (-408)\/918?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) be the first derivative of -s**7\/2520 + s**5\/120 + s**4\/36 - 4*s**3\/3 - 4. Let h(a) be the third derivative of k(a). Factor h(f).\nAnswer: -(f - 2)*(f + 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.3084 to three decimal places.\nAnswer: 0.308","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 100010111111000 + 11001000010?\nAnswer: 100110000111010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 94.07*4760\nAnswer: 447773.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -6435, -12786, -19139, -25494, -31851?\nAnswer: -38210","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -384*i - 7067 + 763*i - 380*i.\nAnswer: -i - 7067","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -5 + -3?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/4 in -4, -6, -1.1?\nAnswer: -1.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 469015 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*p**5\/7 - 213*p**4\/7 + 2250*p**3\/7 - 7494*p**2\/7 + 3315*p\/7 + 13275\/7 = 0 for p.\nAnswer: -1, 3, 5, 59","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) be the third derivative of -h**4\/24 - h**3\/6 - 4*h**2. Let c be g(-3). Suppose -c*u = v - 30, 5*u - v + 3*v - 77 = 0. List the prime factors of u.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -25 + 11563965*b**2 + 2*b - 11563953*b**2 + 6 + 2*b**3 to h + d*b**3 + z*b + r*b**2 and give r.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 641 minutes before 6:31 AM?\nAnswer: 7:50 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*h - 9. Suppose 3*m + 51 = -4*p, 4*m - 3*p + 13 + 30 = 0. Let i = 15 + m. Solve t + 18 = j + h*j, -j = -i*t - 8 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {u: 4, y: 1, q: 2, b: 2}. Give prob of sequence quyb.\nAnswer: 1\/189","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 781\/5 - 155. What is r in -u*r + 0*r**3 + 9\/5*r**2 - 3\/5*r**4 + 0 = 0?\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*g + 45 = 4*a + 5*g, -2*a = 3*g - 5. What is the highest common factor of 90 and a?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 66380033 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round 130570 to the nearest 10000.\nAnswer: 130000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = 4*u**2 - 28*u + 14. Let j(g) = -g**2 + 6*g - 3. Let n = 324 - 327. Let p(s) = n*i(s) - 14*j(s). Let d(x) = 393*x. Determine p(d(y)).\nAnswer: 308898*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -31.1666 - -0.0666. Let x = a - -31. What is the smallest value in 3\/2, -1, 0.4, x?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 84 - 82. Let k(v) be the third derivative of 0*v - 1\/60*v**6 + 0*v**4 + 0 + 1\/105*v**7 + 0*v**5 - 5*v**u + 0*v**3. Determine z, given that k(z) = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1.2 + 0.2. Let p = 1.16 - 2.26. Let r = o - p. Which is the second biggest value? (a) 2\/5 (b) r (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -2.3 and -6?\nAnswer: 13.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n - 3*g + 494 + 1499 = 0, -5*g = -4*n + 2033. Suppose z = -z + n. Is z prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w = 5*t - 16, t + w = 4*w + 16. Let b be 0\/((-6)\/9*6). Let i be (16 + 5)\/(3 + b). Solve -2*v = t*d - i + 25, -v = d + 7 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((5 + -4*sqrt(1008)*-2)*2)**2*2.\nAnswer: 7680*sqrt(7) + 516296","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 5261 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -2 + 1 + 28\/(-30). Let k = -7\/3 - a. Let o = -357\/4 - -89. Put o, k, 0.4 in decreasing order.\nAnswer: 0.4, o, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + (-5*sqrt(39)\/sqrt(3)*-2)**2.\nAnswer: 1304","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -235 - -239. Suppose a*v - 3310 = -6*v. What is the units digit of v?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 7564.4 - 7564. Which is the biggest value? (a) -1\/4 (b) y (c) -3 (d) -5 (e) 2\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 180238?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 912*(-9)\/54*(-30)\/4 a multiple of 76?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {c: 9, u: 1, t: 10}. Give prob of sequence tccu.\nAnswer: 2\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((81\/(-6))\/(-9))\/((-3)\/(-4)). Suppose 1 = -k*m + 1. Let j(b) = -b**3 - 3*b**2 - 2*b + 2. Let t be j(-2). Solve m = 7*w - t*w for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 10*z**5 + 9*z**5 - 27*z**5 - 2*z**4 + 9*z**5.\nAnswer: z**4*(z - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -27*d + 28*d = 0 for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/4 in 14, -0.43, -3, 3\/4, -0.5?\nAnswer: -0.43","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 671, 1344, 2015, 2684?\n\"Answer: -b**2 + 676*b - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 193 - 191. Calculate the remainder when 10 is divided by t.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence uxcx when four letters picked without replacement from uucucuxxxuuxxcuux?\nAnswer: 3\/238","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 3\/958 - 9348\/2395. Let n = 63\/20 + q. Do -0.6 and n have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) be the third derivative of 7*o**5\/15 - o**4\/12 - 101*o**3\/3 - 56*o**2. Differentiate s(w) wrt w.\nAnswer: 56*w - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = -q - 8. Let h be i(8). Let g = -26 - h. List the prime factors of 8\/g*(-15)\/6.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 19260 is divided by 57.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1640 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((a\/(a*a\/a**(-2\/35)))\/a)\/((a*a*a\/a**(-23))\/a))\/(a*((a*(a*a\/(a\/(a**(-1\/7)\/a)*a))\/a*a)\/a)\/a)**39)**(7\/4) assuming a is positive.\nAnswer: a**(613\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 213912 divided by -4?\nAnswer: -53478","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 534499 and 609?\nAnswer: 203","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-14)\/(-12))\/(-7)*(-8)\/72*-9.\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -889, -1447, -1383, -385, 1859, 5661, 11333, 19187?\n\"Answer: 52*w**3 - w**2 - 919*w - 21","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 38 divide 6004332?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f**4\/7 + 23*f**3\/7 + 51*f**2\/7 - 25*f + 100\/7 = 0. Calculate f.\nAnswer: -20, -5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 5.13 + -0.13. Let p = -480 - -480. Which is the closest to -2? (a) 2 (b) p (c) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2774 a multiple of 38?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*i = 9*i - 121. Let m = i + 206. Is m prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 40\/(-180) - 826\/9. Let d = s + 134. Is d a multiple of 21?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 117, -4, 3, 1\/481 in descending order.\nAnswer: 117, 3, 1\/481, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from zggggzgggzzggzgggg. What is prob of sequence gzz?\nAnswer: 65\/1224","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = -n**3 + 9*n**2 - 8*n + 13. Let k be z(9). Let t = 183 + k. Let w be 4\/(-10) - t\/(-10). Calculate the greatest common factor of w and 108.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0568 less than -830617.77?\nAnswer: -830617.8268","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange o + 0*o - 2*o**2 + 3*o**4 - 17*o**3 + 19*o**3 to the form r*o**2 + a*o**3 + p*o + i*o**4 + g and give g.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q = 4*q - 36. Suppose q*p - 14 - 4 = 0. Calculate the remainder when 24 is divided by 243\/18*((-16)\/p)\/(-4).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-1)\/(1\/(-557) + 0) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -6 - -29. Find the third derivative of -11*n**4 + 9*n**2 + 13*n**2 - p*n**4 - 10*n**4 wrt n.\nAnswer: -1056*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12044291 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 17387 + -17425.972. Let z = -39 - b. Which is greater: z or -0.1?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = d**2 + 3*d + 5. Suppose -3*l = -19 - 56. Calculate the remainder when l is divided by s(-4).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 104550144.\nAnswer: 2, 3, 136133","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6609 is divided by 17.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -110*w + 34 = -115*w + h, 55*h + 76 = -3*w for w.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4.2, 0.2, 9\/2, 0.5, 1\/4 in decreasing order.\nAnswer: 9\/2, 0.5, 1\/4, 0.2, -4.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -3, -22\/9, 2\/15?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) be the third derivative of 8*j**2 + 0 - 7\/36*j**5 + 0*j**3 + 1\/12*j**4 + 1\/144*j**8 + 59\/360*j**6 + 0*j - 37\/630*j**7. Find x such that b(x) = 0.\nAnswer: 0, 2\/7, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve g - s = -2, 30*g - s - 6 = 25*g for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -2 + 6. Let q = -33\/7 - -575\/119. Which is the third smallest value? (a) 2 (b) -3 (c) q (d) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1012262 + 13.\nAnswer: -1012249","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -117039, -225901, -334763, -443625, -552487, -661349?\n\"Answer: -108862*q - 8177","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 131418?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 0\/(-1) + 5*11. Suppose 9*x - v = 4*x. Is x a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 189117 to the power of 1\/9, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 35*q**5\/4 + 1235*q**4\/4 + 1365*q**3\/4 - 5555*q**2\/4 + 475*q + 255 = 0. What is q?\nAnswer: -34, -3, -2\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -11561.036 - -11676. Let p = r + -115. Let d = 0.036 + p. Is -80 at least d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -10773380, -10773382, -10773386, -10773392, -10773400?\n\"Answer: -t**2 + t - 10773380","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {p: 2, v: 4, n: 3}. Give prob of picking 3 n.\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1071612363.\nAnswer: 3, 16433, 21737","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00000064 to six decimal places.\nAnswer: -0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = -j**2 + 3*j + 2. Let w be g(-6). Let p = -50 - w. Suppose -x = p*l - 63, 252 = 4*x + l - 3*l. What is the tens digit of x?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = -4*a - 11. Let c(b) = -33*b - 17. Let t(o) = 94*o + 50. Let q(i) = 17*c(i) + 6*t(i). Let u(f) = 5*q(f) + 4*w(f). Determine u(7).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -1222137802*o - 1340551361 with respect to o.\nAnswer: -1222137802","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -6 + 0. Let a be r\/9 + -554*(-4)\/12. Suppose 21*g - a = 17*g. Is g a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (6\/165)\/((756\/(-18))\/(-210))?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.27 - -1.27. Let d = -1.8 + 2. Let l = d - 0.1. Which is smaller: g or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1872 - 1232. Calculate the smallest common multiple of c and 2320.\nAnswer: 18560","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 41773 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*x - 2*i - 24, 0 = 4*x - 6*i + 4*i - 30. Suppose -x*q + 12 = -4*q. What is the units digit of 42\/q - 1*-1?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(-2\/29)\/(n*n**8))**25 assuming n is positive.\nAnswer: n**(-6575\/29)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -885*g**4 + 672*g**2 + 4*g + 15900296 wrt g?\nAnswer: -3540*g**3 + 1344*g + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-64)\/12*3 + 12\/4. Let q(c) = -28*c - 64. List the prime factors of q(y).\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = 42285*f - 380570. Determine z(9).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 7 + (-8 - -6 - 1)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -34.5 + 34.500001512. Round c to seven decimal places.\nAnswer: 0.0000015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 17285 divided by -5?\nAnswer: -3457","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (6 + 894\/(-150))*5.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -120 (base 4) to base 6\nAnswer: -40","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 130, 3, -10651, -4 in descending order.\nAnswer: 130, 3, -4, -10651","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 8 and 184?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 575209 a multiple of 40?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = 355*y - 117. Let h(z) = 959*z - 350. Calculate 3*h(f) - 8*q(f).\nAnswer: 37*f - 114","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-6)\/(-4)*(-1)\/(-6). Let b = -100 + 119. Suppose 5*g - 19 = 3*x - 6*x, 2*g = -5*x + b. Is x <= n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = 6*o + 52. Let n be j(-8). Solve r + g + 2 = -0*r, 5*r - n*g = 8 for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*d = -31 - 73 + 8 for d.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = u - 3, -3*u - 745 = -10*x + 9*x. Let m = x + -384. What are the prime factors of m?\nAnswer: 2, 5, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.03896 - 7.11\nAnswer: -7.07104","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 78 divide 33652359?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -1\/149, -47.3, -0.17, 1\/5 in decreasing order.\nAnswer: 3, 1\/5, -1\/149, -0.17, -47.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -583 + 5?\nAnswer: -57e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w - 63 = -4*f, 22 = 2*f + 2*w - 12. Let m = 23 - f. Is 7 a factor of m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18 - 9 = i. Is 13 a factor of 5\/((-15)\/i) + 51?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (-12)\/60 + (-512)\/(-10) is divided by 13.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 384423663*m**2*r + 683206107*m**2 wrt r?\nAnswer: 384423663*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = -190*o - 6598. Calculate the lowest common multiple of 16 and s(-38).\nAnswer: 4976","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = -2*j**2 + 31*j - 57. Let a be h(13). Let k(m) = m**3 - 11*m**2 + 19*m + 2. What is k(a)?\nAnswer: -38","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 20210200212 + -1020?\nAnswer: 20210122122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -21.85 plus 6?\nAnswer: -15.85","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.057774 equal to -1\/399?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:17 PM and 8:21 PM?\nAnswer: 4","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of (-4001)\/2*(-4 + 2)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 0.2 (b) 0.1 (c) -3 (d) -1 (e) 428\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:36 AM and 6:35 PM?\nAnswer: 419","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 8.8 - 9. Let k be 171\/133*(85\/(-30) - -4). Which is the smallest value? (a) k (b) -2 (c) 1\/2 (d) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + 4 + 2 + 4 + (sqrt(175) - 1*sqrt(175)*-3) + (sqrt(175) - (sqrt(175)*-1)**2)*1.\nAnswer: -166 + 25*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 63.16915 millennia to centuries.\nAnswer: 631.6915","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 62\/2825 - -11745296\/48025. Which is smaller: f or 244?\nAnswer: 244","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -138, -141, -154, -183, -234, -313?\n\"Answer: -u**3 + u**2 + u - 139","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from imiiiiiiiiiiiii. Give prob of picking 3 i.\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2514 + (-10 + 18 - 6)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -22.29 take away 24278645539?\nAnswer: -24278645561.29","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1 or -76764?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = 6*r**2 + 11*r + 11. Let l(m) = -m**2 - 2*m - 2. Let p(a) = 11*l(a) + 2*t(a). Let x(k) = 1 - 1 + 18*k - 16*k. Determine x(p(d)).\nAnswer: 2*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 641 a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert -6a66 (base 12) to base 14.\nAnswer: -4490","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 5 - (-8 + 17 + -5) - (-1 + -7)\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 18563 - 18562.999563. Round y to five dps.\nAnswer: 0.00044","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 266207735.\nAnswer: 5, 617, 86291","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3637*w**3 + 93*w + 6*w - 3635*w**3)*(-1 + 1 + w)*(3*w - 7*w + 3*w).\nAnswer: -2*w**5 - 99*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1766 + 1765. Let m be (0 - 15\/(-27)) + 10\/(-45). Which is the second biggest value? (a) 2\/11 (b) p (c) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 4, -1.1, -3\/8, -28?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 3807.055 less than -3.9?\nAnswer: -3810.955","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) be the third derivative of a**6\/120 - a**5\/60 + a**4\/24 - a**3\/6 + a**2 - 159*a. Let m(n) = 9*n**3 - 5*n**2 + 5*n - 5. What is m(i) - 5*w(i)?\nAnswer: 4*i**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 665000 and 3152480.\nAnswer: 760","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 180 a factor of 50662571?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2743313*n**2 - 29393972*n wrt n?\nAnswer: -5486626","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-2 - 0) + 0)\/2. What is the lowest common multiple of f\/((-3)\/(-6)*-2) and 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -1252 - -15?\nAnswer: -1236","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from xxxcxxcxcxx. Give prob of picking 3 c.\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = -5*c**2. Let x(p) = -2*p + p**2 - p + 3*p. What is s(x(l))?\nAnswer: -5*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = 48*w**3 + 4*w**2 + 7*w - 7. Calculate l(2).\nAnswer: 407","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 2468596301 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 149682 or 149688?\nAnswer: 149688","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify g*g**(-2\/5)*g*g**(-9\/4)\/g assuming g is positive.\nAnswer: g**(-33\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10830*x - 16056*x - 9094*x.\nAnswer: -35980*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 3 + (1 - 0) - (-2 - -1)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -27 + 27. Suppose -2*c - 2*j + 54 = o, -3*c - 38 = 2*j - 122. Calculate the greatest common divisor of 12 and c.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = -33*n + 96. What is x(4)?\nAnswer: -36","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 5, -0.4, 15.3, 1?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 5.03 + -0.03. Let k = 3 + -1. Let f = -1 - 3. Sort k, s, f in ascending order.\nAnswer: f, k, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 10 - -2. Suppose -5*c = 5, -4*x + c - 69 = -9*x. Suppose -13*p + 103 = -x. Calculate the least common multiple of p and w.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*b - 16 = 12*b. What is the nearest to b in -5, 2\/7, 3\/7?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2e7 (base 15) to base 2.\nAnswer: 1010011011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) be the first derivative of -2*d**4\/3 + 3*d**2 + 3. Let m(j) be the second derivative of k(j). Let f(z) = -3*z + 5*z - 2*z + z**2. What is m(f(h))?\nAnswer: -16*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find c such that 4*c**4 + 2184*c**3 + 172004*c**2 - 359376*c - 529200 = 0.\nAnswer: -450, -98, -1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y + y + 12 = -a, 4*y = -2*a + 6. Let d = 19181 - 19180. Put -5, y, d in descending order.\nAnswer: y, d, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 49*w**4 - 3*w**3 - 454*w**2.\nAnswer: 1176*w - 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10591*v = 10589*v + 2*y + 8, -26*v - 2*y + 160 = 0 for v.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 2*(-1)\/(-5)*(-15)\/(-2). Which is greater: h or 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 9574, 19093, 28612, 38131, 47650?\n\"Answer: 9519*n + 55","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*f**3 + 0*f**3 + 2*f**4)*(-3 + 3 - 3 + (-1 - 5 + 4)*(-4 + 1 + 2)) + 4*f**4 - 2*f**4 + f**4.\nAnswer: f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*h**2 - 575478*h + 27597910707.\nAnswer: 3*(h - 95913)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = 3*n - 5*l, 0 = -n - 2*l - 263 + 254. Let f(u) = u**3 + 5*u**2 + 5*u. Let p be f(-4). Put 4, p, n, -7 in descending order.\nAnswer: 4, n, p, -7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 7130 and 58857?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 29\/10*14\/(-28) and 29\/12?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) be the second derivative of -v**6\/180 - v**5\/120 + 5*v**4\/72 - v**3\/12 + 9*v - 7. Factor m(u).\nAnswer: -u*(u - 1)**2*(u + 3)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 15435600 divided by 1520?\nAnswer: 10155","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = -b**3 + 12*b**2 + 15*b - 67. Let i be j(11). Suppose 225 = -6*r + i. Which is smaller: 1\/148 or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 320 minutes after 7:24 PM?\nAnswer: 12:44 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sum -139075 and 3.\nAnswer: -139072","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(-8\/3)\/((t\/t**(1\/7))\/t))\/(t**6*t\/(t**5\/t)) assuming t is positive.\nAnswer: t**(-116\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 28867?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 0.13, -0.231, -2\/727, -1 in increasing order.\nAnswer: -1, -0.231, -2\/727, 0.13, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 10\/8*15\/(-675)*-117?\nAnswer: 13\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-1)\/6 + -3 + (-20)\/(-120). Which is greater: p or -10?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 38 + (1 - (22 + -14 + -8 - 0)) + 2.\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -1 - 8 - (-25 - -4 - (43 + -59))\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 273676385?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -128.19 and -1954?\nAnswer: 250483.26","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 187 a factor of 40579?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -1 times 0.73524112\nAnswer: -0.73524112","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1235.\nAnswer: 5, 13, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 2617 (base 9) in base 11?\nAnswer: 1522","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = -13*c - 101. Is 67 a factor of m(-49)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -10.2 to the nearest integer.\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) be the third derivative of -d**6\/360 + d**4\/8 + 3*d**2. Let m(k) be the second derivative of h(k). Let y(c) = 3*c + 1 - 1. Calculate y(m(p)).\nAnswer: -6*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 685 minutes after 11:16 PM?\nAnswer: 10:41 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in twenty-seven halves of a litre?\nAnswer: 13500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22*x - 36 = 18*x. Suppose 0 = -4*l + 4*o + x + 11, 0 = 2*o + 6. Calculate the greatest common divisor of 82 and l.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u - 5*l - 47 = 0, 2*l + 5 = 3. Suppose 105 - u = t. Is t prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9*n**3 + 8*n**3 - 1053*n + 1053*n.\nAnswer: -n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 58*f - 111968 + 110576 = 0 for f.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-5)\/((-15)\/4))\/(-6)*414\/552?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 507, 1006, 1493, 1962, 2407, 2822, 3201, 3538?\nAnswer: 3827","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -2 (b) 2\/177 (c) 21 (d) 2\/11 (e) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*o + u = -12, -o - 2 = 7*u - 11*u for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l = -5*a - 19, -2*a - 3*a = l + 23. Suppose 2*i - v + 218 = 3*i, l*v + 452 = 2*i. What is the tens digit of (-1)\/3 + i\/18?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 11025 - -3?\nAnswer: 11031","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 23, -5, -4 in increasing order.\nAnswer: -5, -4, -2, 23","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -20 + -11101022?\nAnswer: -11101112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 42*11\/66 - (-2 - -6). Let b(p) be the first derivative of -4*p**2 + 0*p - 14\/3*p**r - 17. Find the second derivative of b(x) wrt x.\nAnswer: -28","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 3\/89 or -1?\nAnswer: 3\/89","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 3 - -4. Let s(j) = 11*j + 2. Let v(k) = 12*k + 3. Let o(g) = r*s(g) - 6*v(g). Calculate o(3).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -12 + 18. Let s(c) be the first derivative of -7\/3*c**3 - 2 - 3*c**2 + 0*c. Let i(m) = 13*m**2 + 11*m. Calculate r*i(w) + 11*s(w).\nAnswer: w**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*v + 9, -8*q - 3*v + 246 = -3*q. Is q a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (46\/5 + -1 - (395 - 387)) + 2158\/(-65)?\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Determine t, given that 3*t**4\/7 + 2229*t**3\/7 + 562059*t**2\/7 + 50486895*t\/7 + 86093442 = 0.\nAnswer: -243, -14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 165*m + 21 wrt m.\nAnswer: 165","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 8 or -31.77?\nAnswer: 8","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0 + 0. Let u be ((-2)\/(-1) - x)*-5. What is the tens digit of 4\/u + 104\/10?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = -5749999*f**2 - 3*f + 2. Let z be o(2). Round z to the nearest 1000000.\nAnswer: -23000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = 3*p**3 - 3*p**2 - 2*p - 2. What is the tens digit of h(3)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -11 (base 8) in base 11?\nAnswer: -9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express (10*t + 12*t - 24*t)*(147 + 249 - 684) + 4 - 4 - t as p*t + l and give p.\nAnswer: 575","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = 5*l - 11. Determine s(18).\nAnswer: 79","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 166798267?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = -d - 1. Let i(n) = 2*n**2 + 18*n + 3. Let w(h) = -i(h) - 3*x(h). Calculate the remainder when 53 is divided by w(-7).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = -31*p. Let r(w) = -36*w. What is r(d(g))?\nAnswer: 1116*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 18 a factor of 916?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 110 and 46530?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-20 + (-1358)\/(-70))\/(-9). Let s(l) be the third derivative of 0*l**3 + t*l**5 - 1\/4*l**6 + 0 + 0*l + 1\/12*l**4 + 18*l**2. Solve s(u) = 0.\nAnswer: -1\/5, 0, 1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (48 - (37 + -12)) + 13 - -24.\nAnswer: 60","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l + 25 = l. Suppose -187 = -l*w - 4*q + 11, -2*q + 4 = 0. List the prime factors of w.\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -11*(-26)\/(-286)*1*-1. Let i(t) = -2*t**3 + 12*t**2 - 6*t - 1. Let l(c) = -c**2 + c. Give d*i(m) + 6*l(m).\nAnswer: -2*m**3 + 6*m**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 857 is divided by 369?\nAnswer: 119","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*n**2 - 10*n**2 + 0*n**2 - 5*n**2.\nAnswer: -15*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express -5*i - 227*i**2 + 222*i**2 + 11*i**3 - 7*i**3 as b*i + o + y*i**3 + r*i**2 and give y.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-27)\/243 + 2\/((-97)\/29 + -1).\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify c**(-7)\/(c*c*c**(-8)) assuming c is positive.\nAnswer: 1\/c","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 242 + 241?\nAnswer: 523","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*n**3\/13 + 38*n**2\/13 + 174*n\/13 + 18.\nAnswer: 2*(n + 3)**2*(n + 13)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 23 a factor of 2484?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 26730, 50222, 73714, 97206, 120698?\n\"Answer: 23492*r + 3238","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -84963, -84948, -84923, -84888?\n\"Answer: 5*f**2 - 84968","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 6 + -2. Suppose -8 = -q - 2*q + 2*v, 19 = c*q - v. Suppose q = w + 2*w. What is w rounded to the nearest 10?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = 4*t**3 + t**2 + 4*t - 12. Let l(j) = 3*j**3 + 2*j**2 + 3*j - 11. Let i(w) = 5*l(w) - 4*z(w). What is i(5)?\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 112 - -41. Let r = 154.46 - m. Let z = r - -0.54. What is the nearest to z in 3, 0.4, -4?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 17723 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -101\/84 and (-17)\/408*(-67)\/(-3)*-2.\nAnswer: 252","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = 3*z**2. Let p(h) = 5084973*h. Determine o(p(r)).\nAnswer: 77570851232187*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 183*f - 74*f - 74*f.\nAnswer: 35*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -146 divided by -73?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -89*o**3 - 38*o + 38*o.\nAnswer: -89*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 48612659.\nAnswer: 19, 131, 19531","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = -18*i**2 - i + 3. Let m(c) = 8*c**2 - 1. Let d(q) = -5*m(q) - 2*x(q). Let g(z) = z**2 + 1. Let n = 4 + -2. Calculate n*g(j) + d(j).\nAnswer: -2*j**2 + 2*j + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w - 9 = -3*o + 6*o, w + 8 = 4*o. Let v be w + 0 + 1 + 0. Which is smaller: 2\/5 or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-1)\/(-3) - 116\/6. Let j be k\/(-4) - (-3)\/12. Let t = 2 - j. Which is greater: -4 or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -3131 - -3123. What is the second smallest value in q, 0.1, -1\/28?\nAnswer: -1\/28","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 23 divide 7728?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express 3 - 3 - 2*x - x**2 + 2*x**4 as a*x**3 + y + l*x**4 + h*x + v*x**2 and give v.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-1)\/(-2 + (-259)\/(-128)). Let w = o + 503\/12. Which is the nearest to -1? (a) 0.1 (b) 5 (c) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 12*n**3\/7 - 9*n**2 + 9*n - 12\/7.\nAnswer: 3*(n - 4)*(n - 1)*(4*n - 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from yllllllyqllqxh. What is prob of picking 3 h?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = 5*t**2 - 136*t + 952. What is the lowest common multiple of y(8) and 276?\nAnswer: 552","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -449, -448, -447, -446, -445, -444?\nAnswer: -443","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-26930*m - 4558*m - 5383*m + 42 - 44)*(0 - m + 0).\nAnswer: 36871*m**2 + 2*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is -3492851 smaller than -3492853?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 889, 888, 887?\nAnswer: 886","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 a factor of 18105?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 4 + -2. What is the first derivative of 2*c + l + 3*c + 3*c - 6*c wrt c?\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -11609 minus 4987968?\nAnswer: -4999577","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 110010001110001100100111 (base 2) in base 15?\nAnswer: 1250ca1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 27389 to the nearest 100.\nAnswer: 27400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 62717.9972269 - 62718. Round y to three dps.\nAnswer: -0.003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = -23*s + 7. Let y(m) = 13*m - 4. Let p(w) = 8*l(w) + 14*y(w). Let i(k) = -11*k + 4. Calculate p(i(u)).\nAnswer: 22*u - 8","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -781 - -198.\nAnswer: -583","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1687 - 659. Let b(p) = -p**2 - 15*p - 32. Let s be b(-12). Find the common denominator of -16\/5 and s\/(-10) - g\/180.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*j**3 - 195031293*j + 195031293*j.\nAnswer: -2*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.48 + 2.62. Let q = 5.1 - r. Let i be 2\/(-5)*5\/11. What is the third smallest value in q, i, -1?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6553 = -14*f + 1973. Calculate the highest common divisor of 21 and f.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 60\/10 - (4 - -1). Solve t = 5*m - 24 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1\/(-5 - (-1026)\/209)?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -108731331, -108731330, -108731329, -108731328, -108731327?\n\"Answer: i - 108731332","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = 36*w - 1. Let i be b(1). Let c(h) = -13*h - 1. Let u be c(-2). Let p = i - u. List the prime factors of p.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 34522366*b**2 + 11094670?\nAnswer: 69044732*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 x when four letters picked without replacement from {k: 3, x: 17}?\nAnswer: 28\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/(-120)*-5*2\/1?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from pddddxxdpjddddddxh. What is prob of sequence pxj?\nAnswer: 1\/816","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {v: 2, a: 1, t: 6, h: 2}. What is prob of sequence vtv?\nAnswer: 2\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 h and 1 n when two letters picked without replacement from {e: 1, n: 2, h: 3, f: 4}.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 273327 is divided by 680.\nAnswer: 647","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = q - 8. Let t be f(9). Let b = 1 - t. Suppose b*c + 21 = 5*h + c, 10 = -2*h - 5*c. Let l(o) = 3*o - 2. Let v(m) = -4*m + 2. Determine h*v(k) + 6*l(k).\nAnswer: -2*k - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -12, -5, 1\/4, 4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6853*z + 3*v + 120 = -6858*z, 39*v = 4*z - z - 1764 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 48943?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from eeeeuueeeueueeeeeeee. Give prob of sequence ue.\nAnswer: 16\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 3\/88 - 69\/88. What is the nearest to -3\/5 in -1.8, r, -5?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 22 a factor of 28080?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 981504 and 327168.\nAnswer: 981504","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 272 - 225. What is the remainder when 84 is divided by v?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10580 divided by 3.\nAnswer: 10580\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 68\/84159 and -151\/6?\nAnswer: 168318","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(-2\/7)\/p)**(1\/35)\/((p\/(p*p**(-3\/8)*p))\/p*p**7) assuming p is positive.\nAnswer: p**(-10607\/1960)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -8 + 11. Let y(h) = -h - 2. Suppose -2*f - 2*t - 2 = 0, f - 2*t = 2*t - 11. Let k be y(f). Solve 3*i = -g*x - 2 - 1, k = i for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 14, -4, -5750, -8, -3, 1 in descending order.\nAnswer: 14, 1, -3, -4, -8, -5750","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 45 - 41. Solve -2*q = 2*q + 5*w - z, q + 16 = 3*w for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 25 (b) 3 (c) -4 (d) -2\/5 (e) 0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = 7*z - 791. Let c be l(113). Let k(y) be the third derivative of 0*y**3 + 1\/108*y**4 + c*y**5 + 0*y - 1\/540*y**6 + 0 - 22*y**2. Factor k(h).\nAnswer: -2*h*(h - 1)*(h + 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -1133701519*p**3 - 52478553*p - 2?\nAnswer: -6802209114*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from bhbebebbbmebbbebb. What is prob of picking 1 b, 1 m, and 1 e?\nAnswer: 11\/170","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 46, 0, 2, -8 in descending order.\nAnswer: 46, 3, 2, 0, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Work out 3 * -258.\nAnswer: -774","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -10673, -10674, -10675, -10676?\n\"Answer: -k - 10672","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = -g**3 - 16*g**2 - 15*g + 7. Let d be m(-15). Let t(h) = -h**2 + 5*h + 8. What is t(d)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*i - 5*a + 50 = 0, -24 = -9*i + 9*a - 10*a - 22 + 49 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1247, -2533, -3881, -5321, -6883, -8597, -10493?\nAnswer: -12601","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = -o**3 + o + 1. Let p(z) = -z**2 - 4*z - 9. Let t(g) = -g. Let l(v) = p(v) + 6*t(v). Let k be l(-9). Let u be s(k). Solve r + 6 = u for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d - 3*d + 10 = 0. Let p be (0\/d)\/(0 + -2). Find the first derivative of p - 1 + 2 - z**4 wrt z.\nAnswer: -4*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -26*k**4 + 2*k**3*x + 280*k*x + x wrt k.\nAnswer: -312*k**2 + 12*k*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) be the third derivative of f**5\/60 - 7*f**4\/24 + f**3\/3 - 9*f**2. What is the tens digit of w(8)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {o: 4, s: 1, j: 1, d: 9}. Give prob of picking 1 j and 2 d.\nAnswer: 36\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 65041, 65105, 65169, 65233, 65297?\nAnswer: 65361","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -156 + 99. Let l = i + 56.892. What is l rounded to 2 dps?\nAnswer: -0.11","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-1)\/(-1))\/((-14)\/728*-13)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express 39256 + 5*q**2 - 2*q**4 - 39192 - q**3 + 2*q + 4*q**4 as b*q**4 + f*q + p + r*q**3 + l*q**2 and give f.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -15, 3, -1, -14597.\nAnswer: -14597, -15, -1, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -87\/134 + 235511\/938. Let v = w + -251. Which is the biggest value? (a) v (b) 4 (c) -1\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 245 and 560.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 152454, 304917, 457384, 609855, 762330?\nAnswer: 914809","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 2 and 1.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = 14*p**2. Let g be q(-1). Suppose -4*x = 5*r - g, 0*x + x = 3*r - 5. Suppose j**r + 3*j**2 + 28*j**4 + 341*j**3 - 363*j**3 = 0. Calculate j.\nAnswer: 0, 2\/7, 1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*n + 2 - 2 + (2 - 2 - 1)*(2*n + 0*n - 4*n) + 12*n - 1 - 9*n - 2)*(4*n**2 - 4*n**2 + 5*n**2).\nAnswer: 35*n**3 - 15*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = q**3 - 9*q**2 + 11*q - 11. Suppose 6 = 10*s - 9*s. Let u be j(s). Let t = 90 + u. What is the tens digit of t?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 1, s: 1, q: 3, a: 5, h: 6, y: 4}. Give prob of picking 1 p and 1 q.\nAnswer: 3\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j = -g + 12, -4*j + 230*g - 229*g = -6. Solve j*u + 2*u = -u for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (6112\/3820)\/((-1)\/(-5)).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2503 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 43446\/(-557)*(-189)\/234.\nAnswer: 63","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 532 and 131803.\nAnswer: 133","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -47 - -83. Let m = -36 + j. Put -3, -4, m in ascending order.\nAnswer: -4, -3, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = 6*h**2 - 4*h + 11. Suppose -g + 8 = -3*x, -5*x - 21 = -2*g - 7. Let w(r) = -r**2 + r - 2. Give g*c(d) + 11*w(d).\nAnswer: d**2 + 3*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 1a5e335 + 3?\nAnswer: 1a5e338","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -o**3*r + 4*o**3 + 154*o**2*r - 2*o*r + 610*r + 36864 wrt r?\nAnswer: -o**3 + 154*o**2 - 2*o + 610","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -418 = -5*i - 3*m, 7*i + 3*m + 184 = 9*i. Calculate the least common multiple of 43 and i.\nAnswer: 86","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((0\/(-1))\/(-2))\/2. Suppose -4*h = -z*h. Which is smaller: -1\/4 or h?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = -v**2 - 7*v - 5. Let s be u(-6). Let t be 0*(s + (-5 - -3)). Suppose -5*l - 234 = -9*l - w, t = -2*l + 4*w + 126. What is the tens digit of l?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = 18*m**2 + 2386*m - 5939. Determine y(-135).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1754*m + 41340 = 1426*m for m.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 3010230203 - 0?\nAnswer: 3010230203","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) be the second derivative of -j**4\/18 - 14*j**3\/9 + 3*j + 857. Factor b(n).\nAnswer: -2*n*(n + 14)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 23\/324 - -24493\/324. Let w = 77 - r. Let v = 3 - 3.5. What is the second smallest value in w, v, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 divided by -1851?\nAnswer: -2\/1851","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-1)\/((-70)\/(-12) - 6). Is 15 a factor of 3\/((12\/190)\/n)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is seventeen quarters of a tonne in kilograms?\nAnswer: 4250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from yyyyyyuuyyuuyyybuy. Give prob of sequence byu.\nAnswer: 5\/408","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 977960 = 3346*x + 2357*x + 8287*x - 365080 for x.\nAnswer: 96","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 816967939 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 4003895 >= -0.2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0.1 or -564?\nAnswer: -564","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 664 minutes before 3:41 AM?\nAnswer: 4:37 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = d + 1. Let c be g(2). Suppose -220 = -4*y + 2*f, -2*y = y + c*f - 183. What is the tens digit of y?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = a**2. Let i(x) = -14*x + 10. Let l(q) = 12*q - 12. Let r(d) = -4*i(d) - 5*l(d). Calculate r(t(b)).\nAnswer: -4*b**2 + 20","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Divide -47117 by -371.\nAnswer: 127","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 63300 take away 1?\nAnswer: 63299","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -20519460 divided by 351\nAnswer: -58460","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = 9*t. Suppose 1 = -2*b - y - 0*y, -5*b - 7 = y. Let q be 32\/40*(-5)\/b. Let p(z) = -5*z**q + 5*z**2 + 0*z**2 - z**2. Calculate l(p(j)).\nAnswer: -9*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -3075 - 12250?\nAnswer: -15345","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 49\/21 - 1\/3*1. What is the third derivative of -2*m**4 - 13*m**s - 4 - 31*m**3 - 6*m**3 + 16*m**3 wrt m?\nAnswer: -48*m - 126","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -25*t**4\/3 + 53390*t**3\/3 - 29439421*t**2\/3 + 332619700*t - 2910967500.\nAnswer: -(t - 1050)**2*(5*t - 89)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 2936130382 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -11\/24 and 133\/45624.\nAnswer: 45624","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = -a - 4. Let l be r(-9). Let m = -10 - -18. Let c(z) = 0*z - 40*z**2 - 6 + m*z + z**3 + 34*z**2. Give c(l).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 3, o: 2}. Give prob of picking 2 l.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -134964*z - 19*z**2 + 134964*z.\nAnswer: -19*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*y - 5 - 11 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b*b**(-2\/21)*b*b*b**(-1\/39)*b)**(3\/5))**37 assuming b is positive.\nAnswer: b**(39183\/455)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -6, -0.18, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-2)\/2)\/(13\/(-26)). Suppose 0 = s*n - v + 6*v + 23, 0 = -5*v - 25. What is the derivative of -n + 3 - 2 - 2 + 6*i**4 wrt i?\nAnswer: 24*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 32926 is divided by 10882.\nAnswer: 280","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 1189 to the power of 1\/3, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -90*0.10006.\nAnswer: -9.0054","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(50)\/sqrt(90) + sqrt(405)\/sqrt(9) + 1.\nAnswer: 1 + 10*sqrt(5)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 23 - 47?\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1307, 5525, 12635, 22703, 35795?\nAnswer: 51977","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 10 - 7. Let j = 100 - 96. Solve j*a - 5*u - 15 = -2, t*a + u = 5 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 1 + 330aa29?\nAnswer: 330aa2a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4 - (-187)\/34)*(-6)\/(-27)*30?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 - 91 = 9*i. Is (-5328)\/(-27)*i\/(-6) a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = s**2 + 7*s - 12. Give x(-9).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c = -1 + 5. Let l(g) = -111*g**3 - g**2 + g + 1. Let z be l(c). Suppose -2*u = 4*o - z, -2*u + 179 - 69 = -5*o. Is u prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11647 to the power of 1\/2, to the nearest integer?\nAnswer: 108","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = -p**2 - 13*p - 10. Let b be (-309)\/6 - 3\/6. Let j = 46 + b. Let y be d(j). What is the greatest common divisor of y and 32?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is (-30)\/4*(-4)\/9*(-114)\/76?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 158 minutes before 9:34 AM?\nAnswer: 6:56 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 135984119?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.6 - 30274675.\nAnswer: -30274675.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 642613 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Add 7.504 and 3208.\nAnswer: 3215.504","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 1\/4, 1\/2, -2?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 96093 is divided by 132.\nAnswer: 129","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9728?\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round -2066.795 to the nearest one hundred.\nAnswer: -2100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*y**2 - 26520*y - 35165520.\nAnswer: -5*(y + 2652)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence dd when two letters picked without replacement from wdkdwdkk.\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 9, x: 3}. Give prob of picking 2 x.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 37144219 to the power of 1\/3, to the nearest integer?\nAnswer: 334","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -392, -401, -424, -467, -536, -637, -776?\nAnswer: -959","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(931) - (-3 + sqrt(931)))*1 + sqrt(95)\/(sqrt(10)\/sqrt(2)) + sqrt(76)\/sqrt(4)*2.\nAnswer: 3 + 3*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = 23 - 16 - w - 13. Let k = 9 - 18. Let g be q(k). Solve -g*u - 2 = -u for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9885320 is divided by 777.\nAnswer: 326","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -b - -268?\nAnswer: 25a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/23? (a) 3 (b) -5 (c) 411 (d) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -5 divided by -8\nAnswer: 5\/8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2733032, -5466094, -8199156?\nAnswer: -10932218","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 56.98783nm in meters?\nAnswer: 0.00000005698783","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 3\/5 of a kilogram?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = -968*j**3 - 10*j**2 - 11*j - 61. Let y be m(-7). Is (-2)\/(-9) + y\/450 a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-651*y + 206 - 622 + 210 + 206)*(-4 + 2*y**2 + 4) + 6*y**3 - 7*y**3 - 6*y**3.\nAnswer: -1309*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Work out 74.92 * -5.\nAnswer: -374.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:28 AM and 4:09 PM?\nAnswer: 581","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -74818, 2, 8, 4, 1\/8?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0 + -3. Let j = c + 8. Suppose j*q + 55 = r, -140 = -4*r - 3*q + 103. What is the tens digit of r?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4269301465.\nAnswer: 5, 11, 13, 491, 12161","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5650.\nAnswer: 2, 5, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*(0 + 5*(sqrt(242) + -1) - (2*sqrt(242)*6 + -2)))**2*-5.\nAnswer: -949360 - 36960*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 6046135?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:22 AM and 12:28 PM?\nAnswer: 186","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -18.3 times -760479?\nAnswer: 13916765.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 7114*g**3 - 8*g**2 + 64.\nAnswer: 42684","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = 81*v**3 + 7734*v**2 + 4599*v - 3075. Let m(l) = -20*l**3 - 1934*l**2 - 1150*l + 769. Let n(r) = 5*k(r) + 21*m(r). Factor n(s).\nAnswer: -3*(s + 1)*(s + 129)*(5*s - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15 = -17*w + 14*w, 15 + 6 = -4*p + 5*w for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = i**3 + 3*i**2 + 14*i + 42. Let w be v(-3). Solve w = -2*k + 5*o - 18, -4*k + 3*o - 1 = 7 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9888647 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 939 + -1478. Which is bigger: s or -538?\nAnswer: -538","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f\/((f\/(f*f\/f**(-2\/11)))\/f))\/f*f**(-5\/2))**46\/(((f**(-1\/8)*f)\/f**(4\/9))\/((f\/(f*f**(-1)\/f))\/(f*f**9*f))) assuming f is positive.\nAnswer: f**(-19061\/792)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o = -8*o + 114. Suppose -n + 4*n - 117 = 0. Let i = n - o. Is i a multiple of 20?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u + 150 = -5*n + u, -4*n - 84 = 5*u. Is n less than or equal to 13?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -3075, -6151, -9227, -12303, -15379, -18455?\n\"Answer: -3076*a + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2\/307 or 1?\nAnswer: 2\/307","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 s and 1 d when two letters picked without replacement from dtszmjj.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2\/32305083 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hhz when three letters picked without replacement from {h: 2, z: 1}.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 9482, 37792, 84950, 150956, 235810, 339512?\nAnswer: 462062","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -93*f*h - 2*f*p + 70*f + 2*h**2*p - h**2 - 3*h + 2*p wrt h.\nAnswer: -93*f + 4*h*p - 2*h - 3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t*t**(-19)*t**25)\/((t\/((t*t**26)\/t*t))\/t**(-22)))**(-2\/9) assuming t is positive.\nAnswer: t**(-22\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 34 is divided by 13.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express -1 + 277*z + 209*z + 3*z + (2 - 2 - 3*z)*(-2 + 2 + 1 + (-4 + 1 + 2)*(3 - 3 - 2)) in the form g*z + r and give r.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = -2*l - 2. Let x(g) be the first derivative of 2*g**2 + 5*g - 2107. Give -14*s(r) - 6*x(r).\nAnswer: 4*r - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 5, w: 6, f: 4}. What is prob of picking 2 k?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 74 - 67. Let b(m) = -2*m**2 + 7. Let f(w) = 2*w**2 - 6. Calculate z*f(k) + 6*b(k).\nAnswer: 2*k**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 16 a factor of 46400?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-62 + 62 + 139*y)*(1 + 1 - 1) + 23*y - 54*y + 27*y to the form a + w*y and give w.\nAnswer: 135","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1088) + 5*(sqrt(1088) + 3))**2.\nAnswer: 1440*sqrt(17) + 39393","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*h = 1913 - 2067. Solve h*r + 46 = -42 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -3\/5, -5, 0.3, 18, 2, 10\/9?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 11501 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: Solve 2*o - 4*b - 8 = 0, -4*b - 91 + 59 = 2*o for o.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5 - 3 - (7 - 9)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -4\/3577 >= -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify k**(7\/6)*k*k*k**3*k**8*k*k*k**(-1\/9) assuming k is positive.\nAnswer: k**(289\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = -m**3 + 29*m**2 - 35*m + 131. Give h(28).\nAnswer: -65","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) be the second derivative of -2\/5*p**2 + 7\/100*p**5 + 3\/20*p**4 + 0 - 7*p - 2\/5*p**3. Factor f(r).\nAnswer: (r - 1)*(r + 2)*(7*r + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 578.\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = 2*i**3 + 17*i**2 - 58*i - 80. What is v(8)?\nAnswer: 1568","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 1116532 to the nearest integer?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -718 + 718. Solve -5*f = -s - 2*s - 9, -s + 2 = q for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 142, 7, 3.\nAnswer: 3, 7, 142","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 11 + -1222112211?\nAnswer: -1222112200","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*v + 4*v = 76. Let g = v + 15. What is the units digit of g?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v = -o + 14, -4 = 2*o - 3*o. Suppose -3*k - 5*m + 31 = 0, 2*m - v = m. What are the prime factors of k?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = -q**3 + 16*q**2 + 38*q - 40. Calculate j(18).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 380292?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -4, -0.01, -3, 0.3?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 400712 - 400712.1009801. Let p = -0.101 - d. What is p rounded to 6 decimal places?\nAnswer: -0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*i - 31535 = -3941. What is the first derivative of -42*n**3 + 1971*n + 31 - i*n wrt n?\nAnswer: -126*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 39 + -37. Solve -3*b + x = -7 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*w - 25, 101*s = 98*s + 3*w + 282. Which is smaller: s or 593\/6?\nAnswer: 593\/6","meta":{"dup_signals":{},"source":"comparison__pair_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = 6*z - 18. Let o be i(7). Let v = o - -4. Is 7 a factor of v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -2 + (-550)\/290 + 4. Which is the second smallest value? (a) z (b) -0.4 (c) -0.3 (d) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-2)\/((-8)\/6))\/(4\/((-608)\/114)).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-14*t**2 + 36*t**2 + 22*t**2)*(-4*t + 2*t + t)*(4 + 5 - 3) to the form c*t**2 + j + r*t + w*t**3 and give w.\nAnswer: -264","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) be the first derivative of -a**4\/4 + 10*a**3\/3 + 7*a**2 + 10*a - 1. Calculate the remainder when k(11) is divided by 11.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 21\/5 of a hour?\nAnswer: 15120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2556 - -19.9.\nAnswer: 2575.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -45*c + 14*c + 62 = 0 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 178979628 and 24.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 355 minutes before 1:11 AM?\nAnswer: 7:16 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = 2*s - 28*s - 16*s - s**2 - 23 + 18*s + 26. Calculate the least common multiple of 121 and u(-21).\nAnswer: 726","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = -2*j + 33. Let u be b(16). What is the second derivative of 415*k - 1 - 447*k - 64*k**2 + u wrt k?\nAnswer: -128","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -19, -42, -83, -154, -267, -434, -667?\n\"Answer: -2*n**3 + 3*n**2 - 18*n - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 669 minutes after 11:36 AM?\nAnswer: 10:45 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = -n**3 - 11*n**2 + 10*n + 2. Let j = 8 + -21. Let c be x(j). Suppose 4*h + c = 5*y - h, 0 = -3*h. What is the units digit of y?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8704623?\nAnswer: 3, 587, 4943","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 56 + (-1 - -3)*-2. Let q = -50 + u. Differentiate -12*l**q + 19*l**2 + 8*l**2 + 7 with respect to l.\nAnswer: 30*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 134 = 4*u - 50. What is the remainder when 181 is divided by u?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -281, -563, -845, -1127, -1409?\n\"Answer: -282*w + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -221, 359, 939, 1519, 2099, 2679?\nAnswer: 3259","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 4046, 16322, 36784, 65432, 102266, 147286?\nAnswer: 200492","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -2133, -0.3, -17 in descending order.\nAnswer: -0.3, -1, -17, -2133","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = -295*v. Let k(s) = 15*s. Calculate u(k(n)).\nAnswer: -4425*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 6002, 11973, 17932, 23873, 29790?\nAnswer: 35677","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = -0*c + 4*c. Solve 4 = -3*w - c for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ejee when four letters picked without replacement from {j: 3, e: 4, x: 2}?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -64 or -1537\/24?\nAnswer: -64","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) be the first derivative of -4*q**3\/3 - 121*q**2\/2 - 29*q + 79. Does 68 divide k(-21)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 3067, 12263, 27643, 49249, 77123, 111307, 151843?\nAnswer: 198773","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 1635 a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor 38\/3*f**2 - 14*f + 4\/3.\nAnswer: 2*(f - 1)*(19*f - 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 144370384 a multiple of 378?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 5, -1, -4 in ascending order.\nAnswer: -4, -1, 1, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z + 1 = -2*j - 0, -5*j = -4*z - 9. Let f be 16 + (j - 3)\/1. What is the third derivative of -f*d - d**2 + 14*d + 4*d**6 wrt d?\nAnswer: 480*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = -y**3 + 32*y**2 + 177*y + 290. Calculate x(37).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Product of 9.0501 and 1.\nAnswer: 9.0501","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence by when two letters picked without replacement from {s: 1, y: 1, m: 1, i: 1, b: 1}?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -527479, -527311, -527143, -526975, -526807?\nAnswer: -526639","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(468) - (sqrt(468) + 2 + -5 - sqrt(468)))**2.\nAnswer: 36*sqrt(13) + 477","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 7989551, 31958191, 71905919, 127832735, 199738639, 287623631, 391487711?\n\"Answer: 7989544*x**2 + 8*x - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fttv when four letters picked without replacement from {q: 10, v: 1, n: 1, t: 3, m: 1, f: 2}.\nAnswer: 1\/6120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 4, -3, -2\/11, 24, -0.028?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0.14, -5, 1, 2\/7?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.038, 0.1, -3, 5 in descending order.\nAnswer: 5, 0.1, -0.038, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence aal when three letters picked without replacement from {l: 1, a: 14}.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let 12*a**2 + 16846042*a - 16846054 = 0. What is a?\nAnswer: -8423027\/6, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 231.395 - -0.105. Let m = h + -231. Sort m, 0.04, 3 in descending order.\nAnswer: 3, m, 0.04","meta":{"dup_signals":{},"source":"comparison__sort_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = 26*j**3 - 2*j**2 + 107*j - 402. What is w(4)?\nAnswer: 1658","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence epp when three letters picked without replacement from eeepepe.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -7 + 9. Suppose 2*q = -p*n + 22, -3*q + n = 2*n - 29. Let f be (-18)\/(-11)*3\/q. Which is greater: f or 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 33 - 23. Suppose y = -12*f - 50. What is the second smallest value in f, -0.2, 0, 11?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 - (1 - -12 - (-53 - -27))?\nAnswer: -43","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 399 minutes after 5:38 PM?\nAnswer: 12:17 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = -2 - 3*y - 5 + 6 - 1. Calculate the lowest common multiple of j(-4) and 3.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -42 + 644?\nAnswer: 602","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 139 + -120. Suppose -13 - 63 = -i*l. Let r = 2 - 3. What is the closest to 5 in l, -0.3, r?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -a - 5*m - 14 = -2*a, -5*a = -m + 2 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = -11*b**3. Let a be x(-1). Solve -5*l - a = -s - 0*s, 4*l = -5*s - 3 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.2, 0.2, 2, 3\/25 in decreasing order.\nAnswer: 2, 0.2, 3\/25, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -5 - -9. Suppose -12 = 5*x + 8, 47 = y + h*x. Is 30 a factor of y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -36*f - m - 1224 = -253, 0 = 3*f - 3*m + 84 for f.\nAnswer: -27","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 8361 - 3*55\/(-33)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -932 - -973. Do 44 and x have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -19747, -19743, -19737, -19729, -19719, -19707?\n\"Answer: z**2 + z - 19749","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 26591111 to the nearest integer?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 + 2 - 4)*(2*m**2 + 0*m**2 - m**2) + (2 - 2 - 2*m)*(-79*m - 16655 + 16655) + 5*m**2 - 2*m**2 - m**2.\nAnswer: 162*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1131509884?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 48*c - 55 = 43*c. Calculate the remainder when 228 is divided by c.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3761 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 33805592 a multiple of 3896?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u + 5*s = 4 + 11, u = -2*s + 4. Suppose u*x - 575 = -3*x. What is the highest common divisor of 23 and x?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 38 or 0.045?\nAnswer: 0.045","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 246780 and 480?\nAnswer: 1974240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*p = -p. Suppose -2*k = -0*k - 32. Suppose p = -i + 2*i - k. Calculate the least common multiple of 2 and i.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 22349*c - 5*v = 22352*c - 104, 0 = 2*c - 5*v + 114 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.16? (a) 0.07 (b) -2\/3 (c) 929.5 (d) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3219 = -12*p + 3267. Solve -147*v + p = -148*v for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is a1699 (base 11) in base 2?\nAnswer: 100100010001011111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 8.8303 rounded to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 276 - 281 = -z - 4*w, -13 = -3*z - 5*w - 5 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -31, -116894, 0?\nAnswer: -116894","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 1, 2, -2 in descending order.\nAnswer: 2, 1, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-9 - -3)*5\/(-5)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-25)\/((-51425)\/28776) - 14. Which is smaller: c or -2\/43?\nAnswer: -2\/43","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -105131, -105125, -105119, -105113?\n\"Answer: 6*v - 105137","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = -f + 2. Let n(d) = 1. Let k(h) = c(h) + 2*n(h). Let a be k(4). Suppose -g + 4 = -a. Calculate the smallest common multiple of g and 2.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5384.\nAnswer: 2, 673","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4074 is divided by 254?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*c + 3*n = 64, 2*c - 107 = -5*c + n - 179 + 94 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 3387, 3384, 3381, 3378, 3375?\n\"Answer: -3*y + 3390","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -89, -330, -731, -1292, -2013, -2894, -3935?\n\"Answer: -80*d**2 - d - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 96755952445 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = y**3 - 9*y**2 - 8*y. What is f(10)?\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0.1 or -34.68123?\nAnswer: -34.68123","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (29*t**2 + 7*t**2 - 11*t**2)*((-6*t - 5*t + 5*t)*(0 - 4 + 3) + 0*t - t + 3*t).\nAnswer: 200*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 2652 times 0.2?\nAnswer: 530.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 89\/720 + -1\/80. Which is the biggest value? (a) -2 (b) -0.14 (c) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2.138 in -2, -2.28, 4\/7?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.01, 402, -1, 13\/4, 1.2.\nAnswer: -1, -0.01, 1.2, 13\/4, 402","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-81)\/(-15) - (-2)\/(-5). Let i be l - ((1 - -1) + -3). Suppose -i*g + 20 = -g. What is the units digit of g?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2\/9 or 63?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vhvpijje. What is prob of picking 1 p and 1 e?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 12226242 to the power of 1\/3, to the nearest integer?\nAnswer: 230","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.48 + -0.18. Let z = 0.2 - w. Let q = -1.6 + 1.47. Do q and z have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 17, 9, 1, -7, -15, -23?\n\"Answer: -8*b + 25","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -43*p + 35*p. Suppose -2*q + 4*a = -30, -5*q = -p*a - 5*a - 65. Calculate the least common multiple of 136 and q.\nAnswer: 1496","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = b**2 - b. Let l be w(-1). Suppose 0 = -l*f - 0*f. Suppose -4*t - 4*d + 247992 = f, -4*t + d + 286586 - 38584 = 0. Round t to the nearest 10000.\nAnswer: 60000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = -15*s. Let q(p) = -2174*p**2 - 2. What is h(q(u))?\nAnswer: 32610*u**2 + 30","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Work out -27.4473 * -7.\nAnswer: 192.1311","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = 163*o - 3. Let t be l(1). Suppose -404 = 4*h + t. Does 14 divide h\/9*(-1 - 2)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 367 - 19*g - 21*g - 61*g**2 + 40*g with respect to g.\nAnswer: -122*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = 191 + 201 - 603 + 5*v + 196. Determine y(5).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y + 3*x = -34, 3*y - 24 - 30 = -3*x. Let j be (15\/(-2))\/((-2)\/4). Let s = y - j. What are the prime factors of s?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 236.04 and -0.3.\nAnswer: 235.74","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 9750841 to the nearest integer?\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 12 and 6870.\nAnswer: 13740","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 4 (b) 0.1 (c) 28 (d) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 10404926?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-11780)\/36 + (-2)\/(-9). Suppose -1463 = -3*u - 53. Let x = b + u. Is x prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*q = 3*v - 20, -3*v - 3*q - 12 = -0*v for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 34\/(-42) - (-3)\/21.\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*i, 9*z = 5*z + i - 16 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-3492)\/198 - -20)\/(-3 + 4).\nAnswer: 26\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a*a**(-15)*a)\/(a*a\/a**(2\/31))*a**2\/(a*a*a*a\/(a*a*a*a*a\/(a*a**(-2\/5)))*a*a) assuming a is positive.\nAnswer: a**(-2253\/155)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is (15\/(-25)*-1)\/(18696\/(-3280))?\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = -5*v + 8. Let k be d(4). Let a = 28 - k. What are the prime factors of a?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2093235 to the nearest integer?\nAnswer: 128","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = -v**2 - 2*v - 5. Let m(t) be the third derivative of t**5\/20 + t**4\/4 + 7*t**3\/3 + 3*t**2. Let z(l) = -11*d(l) - 4*m(l). Find q, given that z(q) = 0.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 100*h - 221 - 779 for h.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -48 + 47.998. Let r = 88.998 - i. Let v = r + -88.9999998. Round v to 6 dps.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 104572 to the nearest integer?\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) be the third derivative of -2*y**6\/15 + 13*y**4\/24 - 10*y**2. What is the second derivative of i(n) wrt n?\nAnswer: -96*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:51 AM and 7:29 PM?\nAnswer: 458","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(1088) - (4 + sqrt(1088) + (sqrt(1088)*2)**2) - 2*(sqrt(1088) + (sqrt(1088) + -1)**2).\nAnswer: -6534 + 16*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 76779 and 171.\nAnswer: 171","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 20 divided by 5.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -39533, -37455, -31813, -20825, -2709?\n\"Answer: 297*q**3 - q - 39829","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*g**2 + 5*g**2 - g**2)*(-55*g - 32*g + 124*g) - 2*g**3 + 6*g**3 - 5*g**3.\nAnswer: 73*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ketsvkjsttvessvttest. What is prob of picking 3 v?\nAnswer: 1\/1140","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = 154*y - 28. Let f(o) = -17*o + 3. Let z(a) = -28*f(a) - 3*j(a). Let p be z(-1). Is 12 a factor of (-579)\/(-5) - p\/70?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7 + -7 - 5 - -7.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10618*h = 3607*h - 967300 for h.\nAnswer: 68","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 21560 and 19426.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -252\/39713 - 56035469763\/1588520. Let w(m) = -7056*m - 2. Let n be w(-5). Let l = n + x. What is the common denominator of -125\/36 and l?\nAnswer: 360","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 - 2*s**3 + 3)*(7 + 9 - 6).\nAnswer: -20*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 148 and 384023?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) 3\/8 (b) 0 (c) 0.03\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/4, -0.3, 4, -2, -5 in increasing order.\nAnswer: -5, -2, -0.3, -1\/4, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wwzwwzizzz. What is prob of sequence zi?\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert -11100101101 (base 2) to base 13.\nAnswer: -ab4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -4075964, -8151943, -12227922?\n\"Answer: -4075979*w + 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from jjjjjj. Give prob of picking 3 j.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor q**5 + 1189*q**4 + 31563*q**3 + 220131*q**2 + 596592*q + 564732.\nAnswer: (q + 3)**3*(q + 18)*(q + 1162)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = 79*x**2. Let i(v) = -3*v**2. Determine a(i(y)).\nAnswer: 711*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = -r**2 - r - 2. Let z be u(2). Let m be ((-10)\/z)\/(4\/16). Let a be 12\/20 - 123\/255. Sort a, 2, m in ascending order.\nAnswer: a, 2, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = -j**3 + 2*j**2 - 831*j + 3361. What is d(4)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) be the third derivative of a**5\/60 - a**4\/6 - 10*a**2. Let h be p(3). Let k be 4 + (57 - h)\/(-4). Do k and -11 have the same value?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1702 - 1667. What is the remainder when 3042 is divided by j?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -105 divided by -7\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v + 13 = 4*d, 15*v + 4*d = 11*v + 28. Let y = 45 - 44. Sort y, 8, v, -4 in decreasing order.\nAnswer: 8, v, y, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 210 divide 301693?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:57 PM and 11:14 AM?\nAnswer: 677","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4675)\/(-1100)*64\/136?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.2 in -5, 2\/13, -2\/3, 0.2?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in twenty-nine halves of a litre?\nAnswer: 14500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 109 + -106. Suppose q = 20 - s. Calculate the remainder when 574 is divided by q.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -52, -101, -150, -199, -248, -297?\nAnswer: -346","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g = 12, -5 = a - 2*g + 7. Let y = a + 8. Suppose -y*q = -3*m - 6, -2*m + 0 - 14 = -3*q. Solve 2*v - 4 = 0, 22 - q = 2*c + 3*v for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = -10684 + 10684 - 899*c**2. Let o(v) = 3*v. What is f(o(m))?\nAnswer: -8091*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -3, 44267269 in descending order.\nAnswer: 44267269, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) be the third derivative of t**7\/420 - t**6\/540 - t**3\/6 - 5*t**2. Let b(x) be the first derivative of d(x). Let b(o) = 0. What is o?\nAnswer: 0, 1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6*-3*((-495)\/(-66))\/15?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -13 - ((5 - 16) + 7) - -4.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*x - 3 = -125*j + 128*j, -30 = -2*j - 10*x for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -267744, -535484, -803226, -1070970, -1338716?\nAnswer: -1606464","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Determine t so that 15 + 195 + 114 - 4*t**2 - 72*t + 8*t**2 = 0.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-11)\/4 + (-50)\/40?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3)\/(-12)*(799\/51 + -17).\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k = -5*k + 16840. Let a = -4920 + k. Round a to the nearest one thousand.\nAnswer: 4000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n = -3*n - 12. Let z be (-3 + n)*(-1)\/2. Suppose i - 4*i = -z. Put -3, 1\/4, i in decreasing order.\nAnswer: i, 1\/4, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 6794805 divided by 16\nAnswer: 6794805\/16","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort -8, -4, -3, -49, 0 in descending order.\nAnswer: 0, -3, -4, -8, -49","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 140716?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -116*c - 12 = -120*c for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = -a**2 + 66*a - 237. Give v(60).\nAnswer: 123","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 100389299?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor q**2\/3 - 418*q\/3 + 43681\/3.\nAnswer: (q - 209)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.23804 + -3.23804. What is the closest to 0.1 in -9\/35, 2\/9, d?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-3 - 1)*39\/(-2). Suppose -3*m - 3*m = -d. Calculate the remainder when 2\/(-4) + 147\/6 is divided by m.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 454 minutes before 8:19 PM?\nAnswer: 12:45 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 312*g**3 + 16*g**2 + 347*g - 340*g - 16*g**2 - 305*g**3.\nAnswer: 7*g**3 + 7*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 23272*j + 10383*j - 11797*j to the form f*j + y and give f.\nAnswer: 21858","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 4880557 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 680 minutes before 8:19 AM?\nAnswer: 8:59 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 227 + -230. Let p = -2.05 + 0.05. Let j = 3.4 - 3.6. What is the closest to -0.1 in w, p, j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2045437 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = z**2 + 30*z + 55. Give k(-28).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -74\/9*l + 0 + 149\/9*l**2 + 1\/9*l**4 - 76\/9*l**3.\nAnswer: l*(l - 74)*(l - 1)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 30683 a multiple of 61?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 782*j - 1600*j + 48 = -802*j for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 53 and 2002499?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q\/(q*q*q**(-1\/47)*q*q))\/q)**(-1\/7) assuming q is positive.\nAnswer: q**(187\/329)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -25\/6 + 8\/3. What is the common denominator of u and -79\/18?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.6474447 litres to millilitres.\nAnswer: 647.4447","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3*(-12)\/(-45) - (1680\/100 - 3).\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21 = a + 11. Let i be 23 + (-1 - -1 - -2). Calculate the greatest common factor of a and i.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.4? (a) 3 (b) 3\/2 (c) 0.7 (d) 1 (e) -1679\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = 5*u. Let i(g) = 3*g. Give v(i(w)).\nAnswer: 15*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.8 - 0.3. Let y = 8.3 - 8.156. Let w = y + 0.856. Which is the nearest to w? (a) -1\/7 (b) o (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1 = 4481*u - 4480*u for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 247 - 246. Is 9 a factor of 18*f\/(4\/68)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 83099616.\nAnswer: 2, 3, 19, 29, 1571","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = 355*a**2 + 629*a - 125. Give q(-3).\nAnswer: 1183","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify n\/n**(-1\/6)*n\/(n**(-11)\/n) assuming n is positive.\nAnswer: n**(85\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4 + 4 + 2*t**2)*(3 - 3 + 2*t) + (0 + 0 + 2*t)*(t**2 + 0*t**2 + 10*t**2)*(2 + 0 + 0) in the form v*t**3 + q + k*t + m*t**2 and give m.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-45)\/36)\/((-1)\/(-4))?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2.1 in 92, 1, 0, 0.04?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 395 is divided by 135.\nAnswer: 125","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 245551, 245548, 245543, 245536, 245527?\nAnswer: 245516","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -2433905, -2433855, -2433805, -2433755?\n\"Answer: 50*x - 2433955","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -2.409 rounded to 2 dps?\nAnswer: -2.41","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 720, 1439, 2156, 2871?\n\"Answer: -o**2 + 722*o - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 913\/8 + -114. Calculate the common denominator of 67\/12 and y.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4851 divided by 1617?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 - 1 - (-27 + (30 - (28 + 8 + -22)))?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = -308*n**2 - n**3 + 154*n**2 + 162*n**2 + 11 - n. Let l be t(8). Solve 3*z = -2*k - 13, -l*z = -k - k - 7 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 195, -2, 1 in ascending order.\nAnswer: -2, -1, 1, 195","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -965 (base 16) to base 13\nAnswer: -1130","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*n + 5*d = -3*n - 14, 3*d = 4*n - 26. Suppose -2 - n = 2*t. Let s(o) = -o**3 - 6*o**2 - 4*o + 1. What is s(t)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (34*y - 8*y - 10*y)*(1 + 1 - 1)*(45*y**2 + 429*y - 429*y).\nAnswer: 720*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let -4*d**5 + 197*d**4 - 45*d**3 - 197*d**2 + 49*d = 0. What is d?\nAnswer: -1, 0, 1\/4, 1, 49","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (2\/(-3))\/(6\/(-45)). Suppose -3*h + 2 = o, h + 0*h = 4*o + x. Let g(v) = 3*v**2 - 3*v + 2. Let a be g(2). Solve 3*s = a + h for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -8.964 + 9. Let u = r - 0.036. What is the closest to 4 in 1\/5, u, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = 31*y + 357. What is the remainder when 391 is divided by g(-11)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor l**3\/3 + 1079*l**2\/3 - 360*l.\nAnswer: l*(l - 1)*(l + 1080)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -46818436*v**2 - 70074*v + 13 wrt v?\nAnswer: -93636872","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = 4*j - 20. Let o be f(6). Suppose -2*c + 1023 = o*b + c, b + 2*c - 262 = 0. Suppose -4*p = -p - b. Calculate the greatest common divisor of p and 12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 36 + 41 + 31 + 2*u + u + 183*u**2 - 108.\nAnswer: 183*u**2 + 3*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = -181*u + 2530. Calculate w(14).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = -5*v + 30. Let r be z(2). Solve 4*g - 6*g - r = 4*x, 3*g = 5*x + 3 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a = -5*l - 71, -5*a - 17 = 3*l - 124. Suppose -26*k + 120 = -a*k. What is the smallest common multiple of k and 27?\nAnswer: 270","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -6531 - -13776. What are the prime factors of z?\nAnswer: 3, 5, 7, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z = 2*t + 2*t - 3, 4*z - 3*t - 31 = 0. Suppose 3*r = -4*p - r - 20, 5*p = 3*r + z. Which is smaller: -12\/11 or p?\nAnswer: -12\/11","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.900258g to tonnes.\nAnswer: 0.000000900258","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 23\/990 and ((-26)\/364)\/(360\/826)?\nAnswer: 3960","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 78442 + 76*w - 78442 as l*w + y and give y.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 6 - 5.9. Let m = 0.4 - a. Suppose -j - j = -2. What is the biggest value in -3, m, j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q + 18 = -3*t, 0 = 5*q - t - t + 11. Let l be (-336)\/6*q\/(-4)*-2. What is the highest common divisor of 21 and l?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 121804, 121591, 121378, 121165, 120952?\n\"Answer: -213*u + 122017","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m + 3 = -2. Suppose 5 = 5*x + 5*f, -30 = -2*x - 0*x + 5*f. Suppose -n + a + a = -10, x*n + 5*a = -10. What is the lowest common multiple of n and m?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2*g**3*s**3 - 8*g**3*s**2 + 28*g**2*s**2 - s**5 + 2*s**3 wrt s.\nAnswer: -12*g**3 - 60*s**2 + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -461 - -489. Factor 0*y**4 - 374*y**2 + 54*y + 437*y**2 + 3*y**4 - 4*y**3 + o*y**3.\nAnswer: 3*y*(y + 2)*(y + 3)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3 - (2 + (6 - -4) + -10).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {l: 15, z: 3}. Give prob of picking 1 l and 2 z.\nAnswer: 15\/272","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 362 - 360. Let x(n) = -n**3 + 7*n**2 + 4. Let j be x(7). Suppose d - 1 = 4*h - m, h + d = j. Solve -4*c - 7 = h for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = 311193*x**2 + 3. Let k be c(3). Suppose 4*o - 16207372 = -k. Let y = 7751658 - o. Round y to the nearest 1000000.\nAnswer: 4000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = -964*y**2 + 4748*y + 343. Determine o(5).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 23 a factor of 874?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*y**4\/2 - 203433*y**3 + 9197138070*y**2 - 138628455483975*y + 1939897196792625\/2.\nAnswer: 3*(y - 45205)**3*(y - 7)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 39024930.\nAnswer: 2, 3, 5, 7, 185833","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 23 = 4*w + 3. Solve x + 3 = f, 3*x + 3*f = w*x + 5 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -2326 and 3?\nAnswer: -6978","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 55816980169 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 1120 a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = -5*j**2 + 227*j - 298. Let a(t) = -t**2 + 2*t - 20. Let f(g) = 12*a(g) - 3*m(g). Find y such that f(y) = 0.\nAnswer: 1, 218","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1 or -462\/27379775?\nAnswer: -462\/27379775","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 447589175, 895178347, 1342767517, 1790356685, 2237945851, 2685535015?\nAnswer: 3133124177","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify r\/r**(-1\/5)*r\/(r**(2\/23)*r*r) assuming r is positive.\nAnswer: r**(13\/115)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = p + 12. Let y be x(14). Suppose -t + 4*c = -y, -c - 35 = 3*t - 8*t. What is the greatest common divisor of 18 and t?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = l. Suppose -20 = -4*z - w, 4*w - 2 + 17 = 3*z. Let b be i(z). Solve -b*q - 7 = -2 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (f - f - f**2)*(-581 + 608 - 3*f + f) + f**3 + 0 + 0 as t + q*f**3 + p*f**2 + x*f and give q.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = -3*y + 9. What is the remainder when 117 is divided by h(-5)?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f = -3*y + 277, 0 = -f - 2*y + y - 49. Let i = f + 74. Suppose -2*u + i = u. Solve u*s - 3*s = 12 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19 = y + 4*j - 3, -4*j = -3*y + 16. Suppose -i + n = y, 2*n + 2*n + 25 = -i. Let x(h) = h**2 + 6*h + 7. Calculate x(i).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -2, 454.\nAnswer: -2, 2, 454","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 3.765386501 rounded to 2 dps?\nAnswer: 3.77","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 7 - 7 - (-34 + -3). Calculate the highest common divisor of m and 74.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15*k + 1081 = -5*s + s + 356, -3792 = 81*k - 3*s for k.\nAnswer: -47","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 39762737 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Work out 65 + -151.02693088.\nAnswer: -86.02693088","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 384172503 - 197\nAnswer: 384172306","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*p**2*q**2 - 2078*p**2 - p*q**2 + p*q - 488*q**2 + 1 wrt q?\nAnswer: -4*p**2 - 2*p - 976","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = -9940*h - 59714. Calculate j(-6).\nAnswer: -74","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1564164 and 8863596.\nAnswer: 26590788","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 14\/49 + (2\/(-7))\/1.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -7288.6534 rounded to zero decimal places?\nAnswer: -7289","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence eexe when four letters picked without replacement from exebebbbnxe?\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 f, 2 y, and 1 w when four letters picked without replacement from {j: 6, f: 3, y: 5, w: 1}?\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -544 + 547. Which is the nearest to -119? (a) r (b) 4 (c) 3\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 11.09 + -11.8. Let r = -0.29 + l. Let t = -0.6 + 0.2. What is the smallest value in 1, t, r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -23 - -19. Suppose 2*n - 1 - 3 = 0. Is 9 a factor of (1 + n)\/(y\/(-12))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ier when three letters picked without replacement from {r: 1, y: 5, h: 4, e: 4, i: 1}.\nAnswer: 2\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 2 (b) -5 (c) -296\/21\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) be the second derivative of -4*p + 0 + p**2 + 4\/3*p**3 - 2\/5*p**5 - 1\/6*p**4. Suppose s(z) = 0. Calculate z.\nAnswer: -1, -1\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.057 in 0.76, -2\/3, 2, -5?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 674 + -62. Is 68 a factor of n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gq when two letters picked without replacement from qggcowggw?\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -32 - -65. Suppose -3*k - 4*a = -81, a + 9 + 18 = k. Let c = n - k. List the prime factors of c.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = 5*b**2 - 43*b + 44. Determine z(8).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = -10*p - 20. Let c(a) = 8*a + 20. Determine -4*c(m) - 3*h(m).\nAnswer: -2*m - 20","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 365703?\nAnswer: 3, 13, 9377","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 times -243936?\nAnswer: -487872","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 3529658 and 34694.\nAnswer: 1826","meta":{"dup_signals":{},"source":"numbers__gcd_test"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in seven quarters of a millimeter?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-9 - 2) + 17 + (-1 - 7).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*y**4 + 5*y**2 + 2*y**3 - 3*y**2 + y - 7 - 2*y**2 as h*y**2 + v*y**4 + l + k*y**3 + n*y and give n.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*q - 3*h + 7*h - 795, 3*h + 1060 = 4*q. Suppose -4*d + q = d. Is d prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2660203 a multiple of 31?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = 7*l**2 - 119*l - 130. Let i be o(18). Suppose -3*t = j - 13, 5*t - 2*j - 9 = 4*t. Let g be (-2)\/(-5)*(11 + -1). Sort 0, i, t, g.\nAnswer: i, 0, g, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = -x**3 - 16*x**2 - 11*x - 10. Let s(p) = -4*p**3 - 63*p**2 - 45*p - 39. Let o(n) = -2*s(n) + 9*z(n). What are the prime factors of o(-18)?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = f**3 - f**2 - f + 4. Suppose 179 - 62 = 13*u. Suppose 0 = -u*w + 18 + 18. Let v(a) = -1. Let k(x) = w*v(x) + b(x). What is k(2)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 8060028?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2*c**4*u + 165*c**4 - 9167*c**3*u - 4*c**2*u + 2*c*u - 19936*c - 22 wrt c?\nAnswer: -48*c*u + 3960*c - 55002*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 2163798076 to the power of 1\/2, to the nearest integer?\nAnswer: 46517","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) be the second derivative of -t**3\/2 + 5*t**2\/2 - 8*t. Let h be y(3). Let r(z) be the third derivative of z**4\/24 - z**3\/6 + z**2. Determine r(h).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 760?\nAnswer: 2, 5, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rw when two letters picked without replacement from {w: 3, d: 1, l: 3, r: 1, b: 1, j: 2}.\nAnswer: 3\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(175) - (sqrt(175)*-5*3 + sqrt(175)) - (sqrt(175)*-5*2 + sqrt(175)))**2.\nAnswer: 100800","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 4750275 and 570033.\nAnswer: 14250825","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) be the first derivative of 24*o**5\/25 - 81*o**4\/10 - 14*o**3\/5 - 144. Suppose u(p) = 0. Calculate p.\nAnswer: -1\/4, 0, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4588445*n + 0 - 2 + 2 - 3*n**3 - 4588445*n.\nAnswer: -3*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence azcz when four letters picked without replacement from {a: 2, z: 9, c: 8}?\nAnswer: 4\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 + 21 = q. Let f(n) = -15*n**3 + q*n**3 + 2*n + 6*n**2 + 2 - 2*n**2. What is f(4)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 84369 to the nearest integer?\nAnswer: 290","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15*r + 11*r + 215 = 290 + 705 for r.\nAnswer: 30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = -w**2. Let y(t) = 11*t**2 + 6*t. Give y(i(m)).\nAnswer: 11*m**4 - 6*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 136 - 130. Suppose -855 = -h*p - 13*p. What is the tens digit of p?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -407\/2, 348\/25, 2 in descending order.\nAnswer: 348\/25, 2, -407\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 2 + (-27)\/12 - (4 + -5). What is the nearest to 1 in f, -3, -3\/5?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 181?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2580807, -2580798, -2580785, -2580768, -2580747, -2580722, -2580693?\nAnswer: -2580660","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide 26832335?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = -14*o**3 - 119*o**2 - 18*o + 9. Let m(l) = -7*l**3 - 59*l**2 - 8*l + 4. Let n(i) = -9*m(i) + 4*z(i). Find the third derivative of n(g) wrt g.\nAnswer: 42","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:45 AM and 3:06 PM?\nAnswer: 321","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*((-6*-1*sqrt(616) + sqrt(616))\/sqrt(11))\/(2*(1*sqrt(72))\/sqrt(9)).\nAnswer: -35*sqrt(7)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*k**2 + 9110208*k - 5187243112704.\nAnswer: -4*(k - 1138776)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 8 - 3 - (12 - 9)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*i - 5*i - i)*(39*i + 62 - 62)*(-8*i**2 + 8*i**2 + 5*i**3).\nAnswer: -195*i**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -24 + 1017288?\nAnswer: 1017264","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -99 - -113. Solve 34 = a*t + 62 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-4)\/30)\/(24\/36).\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -33 in -12, -1\/722, -3, -2\/9?\nAnswer: -12","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 300232223300 (base 4) to base 2.\nAnswer: 110000101110101011110000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 507 = -91*z - 858 for z.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: (((-34)\/(612\/27))\/18)\/(1\/9)\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 10\/(-16) - 4\/16. Let d = -73.9 - -74. Is d < k?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-2)\/4)\/((-6)\/12). Let i(b) = 9 - 3*b - 2*b - k + 4*b. Let o(z) = 1. Let p(r) = -i(r) - o(r). Give p(0).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = -o**3 + o**2 + o + 5. Let h be z(0). Suppose h*f = 4*f - w - 2, -3*w = f - 4. Sort 4, -4, f.\nAnswer: f, -4, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 199025389.984447 and 4.\nAnswer: 199025393.984447","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = 2*l**3 - 9*l + 58. Calculate t(3).\nAnswer: 85","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2768*i + 886*i - 5526*i + 870*i**3 wrt i?\nAnswer: 5220*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 20\/(-15)*(-18)\/4. Find the third derivative of -13*i**2 + 14*i**2 + 9*i**w + 9*i**2 wrt i.\nAnswer: 1080*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of (33\/(-110) + (-21)\/(-20))\/(3\/4200)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*j = i + j - 8, 2*i - 5*j - 26 = 0. What is the remainder when 125 is divided by -6*((-48)\/i + 0)?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 10 - 9. Let x = 3 - w. Let z(j) = x + 3*j - 2*j - 2. Let y(d) = -2*d**2. Determine y(z(s)).\nAnswer: -2*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: (-30)\/8*(-100)\/(-75)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 2155 (base 6) to base 13\nAnswer: 2c9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in six fifths of a meter?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -3 (b) 1\/61 (c) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 3326, 3292, 3228, 3128, 2986, 2796, 2552?\nAnswer: 2248","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -4\/5 in -5, 3, -0.3, 209?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -5+-21072570566016\nAnswer: -21072570566021","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o*o**(1\/3))\/(o*o\/(o*(o*o*o**(-1))\/o)))\/(o\/(o*o*o*o**(2\/3)*o))**(-3\/46) assuming o is positive.\nAnswer: o**(13\/138)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + ((6*(sqrt(168)*-2 + sqrt(168)))\/(-2*sqrt(12)\/sqrt(4)))\/(-2*((sqrt(512)*-1 - sqrt(8)) + 2*sqrt(8)*6)).\nAnswer: -4 - sqrt(7)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 253?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 590093 - 321054. Is i composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 465*i - 1080 + 8865 = -1980 for i.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 15*n**2 + 63*n + 12 wrt n?\nAnswer: 30*n + 63","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -152*h + 141*h + 11 = 0 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -0.046, 3, 0, -0.26?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -32*g**5 - 510638*g**4 - g**2 + 34152528*g wrt g.\nAnswer: -640*g**3 - 6127656*g**2 - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18 = -3*s + 3*z, z = 303*s + 297*s - 603*s + 6 for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -9*f - 155*f**2 + 6*f + 153*f**2 + 197 + f to p + b*f + u*f**2 and give p.\nAnswer: 197","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2611187042?\nAnswer: 2, 2371, 550651","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m - 4 = -m. Let u be 1 - m*(3 + -2). What is the nearest to -3 in u, -3, -0.1?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -13, 1, -1 in decreasing order.\nAnswer: 1, -1, -5, -13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 140896?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 0\/(4 + -4 - -1). Let o be (-4)\/(-10)*(-10)\/(-2). Suppose o*f - 5 - 5 = k. Is f a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(136)\/(sqrt(32)\/(sqrt(24)\/sqrt(6)))*-4 + -2*(-2 + (sqrt(2057)*2 - sqrt(2057)) + sqrt(2057)))**2.\nAnswer: -384*sqrt(17) + 39184","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify m**(-11)\/m*m\/(m\/(m*m\/(((m*(m*m*((m\/m**(-2))\/m)\/m)\/m*m*m)\/m*m)\/m))) assuming m is positive.\nAnswer: m**(-14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1871\/54 + -77\/27. Let f = a + 39. Find the common denominator of f and 4\/7*(-385)\/15*1.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 8 + -10. Suppose 0*f - 6 = -3*f. Let y(z) = f*z - 1 + 1 - 1. Give y(a).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 3004 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 239 a factor of 30010392?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 129708 and 900?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -773\/4 - -192. Let p = -0.09 + -4.91. Let o = 0.4 - 0.3. Which is the nearest to o? (a) y (b) p (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2 - 102 - (4\/5 + -40*(-18)\/(-900))\nAnswer: -100","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15*p = 2*p - 104 for p.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 59192958 a multiple of 121?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from wwwyyywywwwwywwwwww. Give prob of picking 4 y.\nAnswer: 5\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1200 - 3555 = -2*b - 5*r, -2*r + 7116 = 3*b. Let x = b - -4691. Suppose -6*l + x - 1631 = 0. Is l a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-13 + 56 + 49 + 45)*(7*h + 20*h + 99*h).\nAnswer: 17262*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 = -3*t - 9. Let k be (138\/(-12))\/(3\/t). What is the greatest common factor of 299 and k?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = 2*m + 83. Let r be s(0). Let a = 5 + r. Suppose -7 = d - a. What are the prime factors of d?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 383?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.95, 0.3, 2, 9922 in descending order.\nAnswer: 9922, 2, 0.95, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 46 + -47. Sort n, 2\/9, 4, -1\/7 in decreasing order.\nAnswer: 4, 2\/9, -1\/7, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (75 + -7 - 171) + 85?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = 22*k**3 + 6*k**2 + 3*k + 3. Let x(b) = -44*b**3 - 14*b**2 - 7*b - 7. What is 3*x(t) + 7*z(t)?\nAnswer: 22*t**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 94 + 84*r - 115*r + 51 - 87*r to w*r + p and give p.\nAnswer: 145","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) be the second derivative of f**5\/5 - 8*f**4\/3 - 6*f**3 + 15*f + 21. Find g, given that c(g) = 0.\nAnswer: -1, 0, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 24\/(-1) + (-46584)\/(-1944).\nAnswer: -1\/27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 967?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = -14*k**3 + 74*k**2 - 43*k + 22. Let b(f) = -3*f**3 + 18*f**2 - 11*f + 6. Let z(w) = -9*b(w) + 2*m(w). Calculate z(-15).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 0.5 (b) -1.5 (c) -0.3 (d) -2\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30418 - 3048551 = -361*d. Do 8529 and d have different values?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -4 in -0.2, 2, 0.663?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) be the second derivative of -7*b**4\/12 - b**3\/6 - 4*b**2 + 18*b. Let y be f(3). Is y < -74?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -7d1d - 3?\nAnswer: -7d21","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3\/4 in -2\/57, 2, -3.5, 2\/919?\nAnswer: 2\/919","meta":{"dup_signals":{},"source":"comparison__closest_test"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = -u**3 - 11*u**2 + 11*u + 10. Let t be 11\/(3\/2 - 2). Let n(y) = y**2 - y - 1. Let c(f) = t*n(f) - 2*m(f). Differentiate c(l) with respect to l.\nAnswer: 6*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 1196, 2389, 3564, 4715, 5836, 6921?\n\"Answer: -x**3 - 3*x**2 + 1209*x - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = -6*v + 1. Let d(x) = -x. Let r(s) = 3*d(s) - h(s). Suppose 4 = -2*n + 3*b + 3, 2*n - 2*b = 0. What is the remainder when r(n) is divided by 2?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {x: 3, l: 1, a: 2, y: 1, u: 6}. Give prob of picking 1 y, 1 u, and 1 x.\nAnswer: 9\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 2\/3, 0.2, 0.1, -0.07, 7?\nAnswer: -0.07","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 64758 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: Let z = 0.935 + 9.355. What is z rounded to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = -25*p + p**3 + 0*p**3 - 3*p**2 - 2 + 27*p. Let a(d) = 25*d - 19*d + 2*d**3 + 2*d**3 - 4*d**3 - 10*d**2 - 7 + 4*d**3. What is -2*a(l) + 7*w(l)?\nAnswer: -l**3 - l**2 + 2*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 321 minutes after 10:53 AM?\nAnswer: 4:14 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 160635 - 1604913\/10. Let o = -155 + w. Let x = -7415\/4 + 1874. What is the common denominator of o and x?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = -5*l - 1. Let w be y(-1). Let z(m) = -w*m + m**2 + 7*m**2 - 6*m**2. Calculate z(3).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.4, 0.116, -3\/2, 0.7 in decreasing order.\nAnswer: 0.7, 0.4, 0.116, -3\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 - 2 + 5)*(2*i**2 + i**2 + 0*i**2) + (0 + 0 - 2*i)*(-268*i - 6*i - 757*i).\nAnswer: 2059*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:35 AM and 10:30 AM?\nAnswer: 295","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 10044688 and 5022344.\nAnswer: 10044688","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 12631 - 5197. What is the greatest common factor of 126 and z?\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = -f**2 - 8*f - 1. Suppose 0*n + n - 31 = -k, -3*n = -2*k - 68. Let j be n\/(-3) - (-16)\/24. Let a be c(j). Is a greater than or equal to -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1646*b + 15817 = -25264 - 34635 for b.\nAnswer: -46","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2873*m**3 - 1567*m**3 + 162*m**3.\nAnswer: -4278*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 30.9999502 + -31. What is u rounded to five dps?\nAnswer: -0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2)\/4*(163\/8 - (-33)\/(-88)).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-10)\/15*9\/(-2). Let d be 6\/h - 1 - (1 - 0). Suppose -2*b + a + 3*a = 712016, d = -b + a - 356004. What is b rounded to the nearest 10000?\nAnswer: -360000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (j**2 + j**2 - 3*j**2)*(49*j**2 - 62*j + 120*j - 64*j)*(2 - 2 + 2)*(2*j - 1 + 1 + (-1 + 2*j + 1)*(-1 + 4 - 4) + 2*j + 0*j + j - 4 - 5*j + 3*j + 6).\nAnswer: -98*j**5 - 184*j**4 + 24*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*t + 10*t**2 - 3 + 5*t**3 + 0*t**3 - 8*t**2 in the form n*t**3 + r*t**2 + l*t + p and give r.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Determine x so that x**5\/6 - 58352*x**4 + 5105682846*x**3 + 306551073960*x**2 = 0.\nAnswer: -60, 0, 175086","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 119\/264 and 23\/84?\nAnswer: 1848","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.08 - -0.22. Let v = 2 + 4. Let r be (-3 + 0 + 7)\/v. What is the closest to -1\/3 in q, r, 2\/7?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0.08 (b) -3 (c) 1.2 (d) 11\/4 (e) 0.06 (f) 27 (g) 1\/2\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 388218595 a multiple of 335?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 2416115269 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_test"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = k**3 + 21*k**2 + 36*k - 27. Calculate the least common multiple of 9 and p(-19).\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -16, -7, -1, -3\/4, 4.\nAnswer: -16, -7, -1, -3\/4, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1.10013 + 1.1. Round h to 4 dps.\nAnswer: -0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1963540 to the nearest integer?\nAnswer: 1401","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p - 14 = 5*d + 13, 5*p = 5*d + 35. Let z(y) = y + 2. Let r be z(d). Let o be (46 + 6)\/(r\/(-18)). Calculate the greatest common factor of 26 and o.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 11 and 25172116.\nAnswer: 25172127","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = -180*d - 2195. Calculate k(-12).\nAnswer: -35","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -51990, -104171, -156356, -208545?\nAnswer: -260738","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -55*z = 31*z - 409 - 279 for z.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = 2*w. Let j(s) = 22016*s**2 + 1. Determine c(j(k)).\nAnswer: 44032*k**2 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) be the third derivative of h**7\/70 - 7*h**3\/6 + 10*h**2. What is the derivative of u(l) wrt l?\nAnswer: 12*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 30 (base 6) to base 16\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = -4787*c**3 - 3*c**2 + 3*c. Let p(n) = 71800*n**3 + 44*n**2 - 44*n. Calculate -88*o(u) - 6*p(u).\nAnswer: -9544*u**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Work out 3.68 * -45605.\nAnswer: -167826.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12*p + 14*p**3 + 7*p - 8*p**3 - 19*p.\nAnswer: 6*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is (35\/(-25))\/(1313\/130 + -15)?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = s**3 + 4*s**2 + 2*s - 4. Let n be y(-2). Suppose 3*v - 22 = -4*p, n*v + p = 5*v - 29. Solve -t + 8 = v for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = 10*f + 10. Let d be q(-3). Let b be (-379791)\/(-15) - 12\/d. Round b to the nearest ten thousand.\nAnswer: 30000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 81610, -2, -8, 4 in descending order.\nAnswer: 81610, 4, -2, -3, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round 105.6 to the nearest 10.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q + 4*v = 8, -q - 2*q + 5*v - 2 = 0. Let b = 7 - q. Let o(u) = -25*u - 1665. What is the lowest common multiple of b and o(-67)?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0346568 + 121.71507?\nAnswer: 121.6804132","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express -1213 + 580 + 2*b + 829 in the form a*b + z and give z.\nAnswer: 196","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = 44478*i**2 + 22*i. Let m(v) = -111196*v**2 - 56*v. Determine -28*j(b) - 11*m(b).\nAnswer: -22228*b**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -51*p + 21*p**6 + 24*p**2 - 113*p**6 + 22*p + 2*p**2 + 28*p wrt p?\nAnswer: -11040*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ar when two letters picked without replacement from {h: 2, a: 1, r: 1, p: 2, i: 1}.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2497 + 2777 = 293*z for z.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.386474 rounded to one decimal place?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4817 - 3526*u**3 - 3136*u**3 - 4*u + 4*u + 4817.\nAnswer: -6662*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 0.4, -0.06, -10\/27, -30941?\nAnswer: -10\/27","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1390150.\nAnswer: 2, 5, 27803","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 2c25 + 4bc71?\nAnswer: 51b96","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = -o + 11. Let y(w) = w**2 + w - 2. Let j be y(4). What is the remainder when j - ((1 - 2) + 2) is divided by s(5)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 29455 to the power of 1\/3, to the nearest integer?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in -39, -2\/51, 5, 8, 1, -0.4?\nAnswer: 8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**1)**(10\/11)\/(t**(-7)\/t*t**2) assuming t is positive.\nAnswer: t**(76\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -11317, -22421, -33525, -44629?\nAnswer: -55733","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out 4 - 292.64.\nAnswer: -288.64","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -2156, -4311, -6470, -8633, -10800?\n\"Answer: -2*u**2 - 2149*u - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = -q**2 + 4*q + 6. Suppose 10*j - 10 = 40. Let y be p(j). What is the remainder when (((-252)\/2)\/(-9))\/(y\/4) is divided by 16?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 281268650 a multiple of 26?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20765 - 38556 = -39*l + 50893. Solve l*v = 2827*v for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 418 and 1386?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 11 + -7. Let s be (r\/10)\/(36\/45). Determine u so that -u - s*u**2 - 1\/2 = 0.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9895 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -8585 divided by -1717?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (2 - -1)\/((-3)\/(-4)). Let i(r) = -r + 9. Let k be i(h). Solve -k*j = -m + 13, -2*m + 4*j + 21 = 7 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 p and 1 n when two letters picked without replacement from {d: 2, n: 1, y: 1, p: 2}?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 131140243 a multiple of 31?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -14.4 - -16.4. Let q be 6\/21 - (-17)\/(-35). Sort -1\/10, q, z.\nAnswer: q, -1\/10, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = -210*w - 296*w - 143 + 194*w. Let y(i) = -13*i - 6. Let f(x) = 6*q(x) - 143*y(x). Let z(j) = -4*j. Calculate f(z(s)).\nAnswer: 52*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-192)\/(-160))\/((-4)\/(-10)). Solve 0 = -8*l + j*l - 10, -18 = -5*y - l for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*m**2 - 120*m.\nAnswer: -5*m*(m + 24)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 3650*a*v + 1449*a wrt v.\nAnswer: 3650*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1599 by -3.\nAnswer: -533","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 3562 and 208.\nAnswer: 28496","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = -2*l**2 + 48*l + 2. Let z be p(24). Suppose 224 + 26 = -z*v. Which is smaller: v or -126?\nAnswer: -126","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = -2*q**3 + 3*q**3 + 12*q**2 - 6*q - 5 + 12*q**2 - 20*q**2. Let n be i(-5). Suppose n = -3*v + 15, 5*k + v - 105 = -4*v. Solve -d = 3*d + k for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -360 = -5*b + 705. What is the units digit of b?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-40)\/(-25)*5\/2. Suppose m = -2*i - 92027 - 54967, 734988 = -5*m - f*i. Round m to the nearest ten thousand.\nAnswer: -150000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = m - 4, -4*f + 564 = -0*f + 2*m. Suppose -4*j + 321 = -247. Let c(p) = -f*p**2 - 2 + j*p**2 + 2. Let d(q) = 13*q**2. Calculate d(c(o)).\nAnswer: 117*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -31, -61, -121, -217, -355, -541, -781, -1081?\nAnswer: -1447","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 15298 is divided by 357.\nAnswer: 304","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 55128222?\nAnswer: 2, 3, 1020893","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = -k**3 - 4*k**2 - 6*k - 2. What is the smallest common multiple of 16 and h(-2)?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/9 of a week in minutes?\nAnswer: 2240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(1*(-1 + sqrt(176) - sqrt(176))*4)**2.\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*l**3 - 125*l**2 + 410*l - 280.\nAnswer: -5*(l - 2)*(l - 1)*(l + 28)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = k**2 - 4. Let m(u) = 2*u**2 - 4. What is -3*m(w) + 2*p(w)?\nAnswer: -4*w**2 + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 120958512 to the nearest integer?\nAnswer: 10998","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 15534 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: Evaluate 6*((-1050)\/(-36))\/25.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*(sqrt(38)\/sqrt(2) + 5))**2.\nAnswer: 10*sqrt(19) + 44","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 + (-2 - -5) - (-5 + 5)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-6)\/33 - 13\/(-11))*2. Suppose -v*n = 3*n + 20, -4*x - n = -9808. Is x prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o - 3*b = -4, -o - 16 = 3*b + 2*b. Let l be 2\/6*(-13 + 63 - 8). Solve o*n - 6 - 1 = m, -5*m = n + l for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 - -2 - (1 - -1).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*k - 5*k - 15*k)*(0*k + 3*k - 2*k)*(3*k**2 - 5*k**2 + 12*k**2)*(4 - 2 + 0).\nAnswer: -300*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does 41 divide 1123864345?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -6011\/9 + 669. What is i in -14\/9*i + 4\/9 + k*i**2 = 0?\nAnswer: 2\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s + 3*c - 2 = 6*c, 4*s + 5*c = 9. Let l be (30\/4 + s)*-2. Let t = -10 - l. What is the units digit of t?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -348 divided by -5439.\nAnswer: 116\/1813","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -101100100010101 - -100?\nAnswer: -101100100010001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 207*t - 209*t + 5*k + 1, -k = -t - 1 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -31 - -46. Let q = 19 - b. What is the derivative of -4 + 0 - d**q + 5*d**4 wrt d?\nAnswer: 16*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = -2*d + 124. What is w(41)?\nAnswer: 42","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express (4 + 1 + 0 + (-3 - 1 + 3)*(-3 - 3 + 5) - 1 + 3 + 0 - 29 + 293 + 594)*(6*u - 4*u - 3*u) in the form s + a*u and give a.\nAnswer: -866","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Total of 1452 and 11082109.\nAnswer: 11083561","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) be the first derivative of -21*d**2\/2 + 26*d - 114. List the prime factors of x(-7).\nAnswer: 173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2.249 + -8\nAnswer: -5.751","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = 2*a - 14. Let c be i(9). Suppose -2*m - c*z + 12 = -5*z, -m + 3*z + 6 = 0. What is the lowest common multiple of m and 87?\nAnswer: 174","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*p**3\/3 - 10*p**2 - 24*p.\nAnswer: -2*p*(p + 3)*(p + 12)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -11517\/4 - -46153\/16. Let r = -16679171\/2578680 + 4325\/3393. Let x = -115\/152 + r. Calculate the common denominator of z and x.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16 = -g + 3*n, -g - n = 146 - 142 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 2, 3\/2, -2, 577, -5, -1.9, 1\/10?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 190 - 183. Let d be -6 + x + -2497 + (-1 - 3). Round d to the nearest one thousand.\nAnswer: -3000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 0 + (0\/(-3) - -3). Let c(p) = -p. Let t be c(f). Let k = t - -3. Which is greater: -1\/7 or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.093 take away -11820850971?\nAnswer: 11820850971.093","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1582 - 1005 - 1376 + 4542 + 3569)*(4*l - 4*l + l**4) to the form g*l + f*l**4 + a*l**2 + y + q*l**3 and give f.\nAnswer: 7312","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -1013756, -1013758, -1013760, -1013762, -1013764, -1013766?\n\"Answer: -2*z - 1013754","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -4722 - -4738. Solve q = 6*h - 10*h, 3*y = 4*h + 16 for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = -x**3 - 10*x**2 + 6*x - 60. Give j(-11).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -727375*i**4 + 55*i**3 + i**2 + 5775597*i + 3?\nAnswer: -17457000*i + 330","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 + 30\/7 + (-2)\/7?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4)\/(-5) - (-1 - (32\/(-20))\/1)?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 18 a factor of 602675?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*k + 2*k + k)*(-3 + 3 + 2*k) + (-4 + 4 + k**2)*(2 - 1 - 2) + (2*k**2 - 2*k + 2*k)*(1 + 0 + 0) + 12*k**2 - k**2 + 0*k**2.\nAnswer: 10*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 31\/(-93)*(12\/(-10))\/(2\/(-5)).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = -7*y**2. Let h(c) = -1473*c**2. What is h(z(u))?\nAnswer: -72177*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y + 4*o - 2 = 0, -4*y = -0*y + 5*o + 18. Let r(z) = -z**2 + 17*z - 52. Let a be r(12). Put a, y, 5, -4 in ascending order.\nAnswer: -4, y, 5, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6294888 to the power of 1\/2, to the nearest integer?\nAnswer: 2509","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is -43 less than 18761?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -24 - -56. What is the greatest common factor of p and 16?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = -1082*c. Let b(v) = 3*v**2. Determine b(t(g)).\nAnswer: 3512172*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = 6*v - 68. Let b be l(12). Let y = 2 + -1. Suppose y = -b*t + 53. List the prime factors of t.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 16 (base 12) to base 10.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 26752?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10*o - 5*o + 5*o.\nAnswer: -10*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 0 + 13*l**5 + 0 - 11*l**5 + 2*l wrt l.\nAnswer: 40*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 355*h**3*j**2 + 51*h**3*j*p*z - 7*h**2*j*p*z + 46*h*j**2*p - 4*j**2*p**2*z + 627*p**2*z - 2*p*z wrt j?\nAnswer: 710*h**3 + 92*h*p - 8*p**2*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + sqrt(243) + 1 + sqrt(3) + -2*(sqrt(3) + 0) + sqrt(3) - (4 + sqrt(243)*3)**2.\nAnswer: -2206 - 207*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(77)*6 + ((sqrt(77)*2 - sqrt(77)) + sqrt(77))*3)\/(sqrt(7)*-1*3*6).\nAnswer: -2*sqrt(11)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (5451\/(-1242828)*(1 - 5*1))\/(6\/(-27)).\nAnswer: -3\/38","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 556030 + -10463?\nAnswer: 545234","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = p. Let c(w) = w + 1. Let i(k) = 4*k**2 + 3*k + 5. Let j(y) = -3*c(y) + i(y). Let o(z) = -9*z**2 - 5. Let f(d) = 5*j(d) + 2*o(d). What is t(f(r))?\nAnswer: 2*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = 6*v + 1. Let o(f) = f + 1. Let d(s) be the third derivative of 5*s**4\/12 + 4*s**3\/3 - 5*s**2. Let w(c) = -d(c) + 8*o(c). Determine w(r(b)).\nAnswer: -12*b - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 44, 379, 714?\nAnswer: 1049","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9309 is divided by 32?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -221\/4 + 55. Suppose -q - q + 10 = 2*i, q = 5*i - 1. Which is smaller: l or i?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = -f**3 - 10*f**2 - 8*f + 9. Let u be g(-9). Suppose -4*l + 0*l + 64 = u. Suppose 0 = 21*q - 25*q + 20. Solve -5*x + 12 = -4*r, x = -q*r - 2 + l for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = 2. Let c be 3\/((-4)\/((-24)\/(-9))). Let q(b) be the first derivative of -b**3\/3 - 2*b + 2. Determine c*q(l) - t(l).\nAnswer: 2*l**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 634 minutes before 4:09 PM?\nAnswer: 5:35 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does 62 divide 6696?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.49? (a) 0.8 (b) 13112 (c) 2\/9 (d) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 148934944?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*m + 9 = -11*m. Let o = 44 - 2. Solve k = -3*y + 7, -4*y + o = -m*k + 11 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -15 + -17 + (-7 + (61 - -8) - 15)?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qkyy when four letters picked without replacement from ykqyqyyyiqspsqys?\nAnswer: 1\/364","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 51 minutes after 8:11 PM?\nAnswer: 9:02 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sum -1 and 2228.\nAnswer: 2227","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 2664 divide 4761156744?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence auua when four letters picked without replacement from {s: 7, m: 1, t: 1, a: 2, u: 5, n: 4}?\nAnswer: 1\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -4, -32677, 5, 1, 3, 4 in decreasing order.\nAnswer: 5, 4, 3, 1, -1, -4, -32677","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1293511799?\nAnswer: 53, 919, 26557","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*m - 4*m + 2*m)*((0 + m + 0)*(m + 3*m - 5*m) + (1 - 4 + 4)*(-2*m**2 - 5*m + 5*m)).\nAnswer: -3*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.686 + 18.286. Round r to one dp.\nAnswer: 17.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = 5*r**2 - 12*r. Let v be a(4). Calculate the greatest common divisor of 16 and v.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = 3*y - 1. Let k be s(-1). Sort k, 6, -1.\nAnswer: k, -1, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = -l**2 - 8*l + 17. Let k(w) = w**2 - 1. Let p(r) = 2*k(r) + o(r). Solve p(d) = 0.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-3)\/(-2))\/((-6)\/8). Let q = -1255\/12 - -643\/6. Calculate the common denominator of q and (-387)\/70 - g\/(-5).\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*j - 20 = -2*w, 4*j + 16 = -0*w - 3*w for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = -d**3 - 20. Let v be h(0). Let b = -15 - v. Solve 3*z - 4 = -2*c, -3*c - b*z + 4 + 3 = 0 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -491, -3 in increasing order.\nAnswer: -491, -3, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Work out 131 - 5508.\nAnswer: -5377","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 488*h - 33 = 477*h for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x\/x**(-3\/8))**(-28)\/(x\/(((x**9*x)\/x)\/x)*x)**(-2))**21 assuming x is positive.\nAnswer: x**(-2121\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 0.4473591 millennia?\nAnswer: 4.473591","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1642.\nAnswer: 2, 821","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 5\/8 of a litre?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 92342.47 nanometers to meters.\nAnswer: 0.00009234247","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) be the third derivative of 0*n + 0*n**5 - 16*n**2 - 1\/210*n**7 + 0*n**3 + 0 + 1\/40*n**6 - 1\/6*n**4. Factor z(j).\nAnswer: -j*(j - 2)**2*(j + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = -h**2 + h + 5. Let j be g(0). Suppose 2*f + 24 = j*f. What is the greatest common divisor of 40 and f?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 138 is divided by 39 - (6 - 8\/4)?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = -j**2 + 6*j + 13. Let w be u(7). Suppose w*n = -0*n + 36. Is n a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-2)\/(-3))\/(2\/11)*(-1044)\/((-9628)\/83)\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 14713\/475 + -1202\/25. Let s = 17 + f. Sort 2, -1\/5, s.\nAnswer: -1\/5, s, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r\/(r**(1\/39)\/r))\/((r**(-31)*r)\/r) assuming r is positive.\nAnswer: r**(1286\/39)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h - 25*h = -180. Let z(p) = 53*p - 178. What is the hundreds digit of z(h)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange x - 23*x + 2 + 5*x to p*x + t and give p.\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = 2*s - 10 + 10. Let t(c) = -2*c**2. Determine t(b(h)).\nAnswer: -8*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.016? (a) -0.2 (b) 3 (c) -3 (d) -0.4 (e) -3\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 33 times -36892?\nAnswer: -1217436","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = -1286*j. Let p(l) = l. What is p(r(k))?\nAnswer: -1286*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o**(-2\/11)\/o)\/o)**(2\/13)\/((o\/((o\/o**2)\/o))\/o*o)**(2\/125) assuming o is positive.\nAnswer: o**(-6858\/17875)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) be the third derivative of 1\/21*b**7 + 0*b + 1 + 1\/24*b**6 - 1\/12*b**5 + 6*b**2 + 0*b**3 + 0*b**4. Factor r(j).\nAnswer: 5*j**2*(j + 1)*(2*j - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-102)\/1836*-4*2\/(-8)?\nAnswer: -1\/18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -2747, -10828, -24297, -43154?\n\"Answer: -2694*w**2 + w - 54","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10371443.04ms to weeks.\nAnswer: 0.01714855","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express 629*n + 266*n + 562*n as q*n + l and give q.\nAnswer: 1457","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort 48, -52, -20.\nAnswer: -52, -20, 48","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z - 4*p - 11604 + 1572 = 0, -2*p + 7529 = 3*z. List the prime factors of z.\nAnswer: 13, 193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.1 - 6.1. Let n = l - -1. Let w = n - -6. Is w not equal to -2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.099433 rounded to two dps?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 23912 and 2289513.\nAnswer: 897489096","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*m**3 + 513*m**2 - 510*m = 0. Calculate m.\nAnswer: 0, 1, 170","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 174 divide 328094?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = 4*g**2 - 7*g**3 + 8*g**3 - 4 + 5 - 5*g. Suppose 52*c - 60*c + 8 = 0. Let u be f(c). Which is smaller: u or 1\/12?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 809065?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -32 - -31.5. Let z = -2 + 3. Let d = -5 + 4.9. What is the closest to d in y, -4, z?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 3292080 and 33.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-45)\/(-27))\/(((224\/(-24))\/14)\/8)?\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3850820?\nAnswer: 2, 5, 31, 6211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 1348*-138018\nAnswer: -186048264","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = -c**3 - 17*c**2 + 13*c + 2. Let o be s(-18). Let t = o - 90. Suppose t*i + 26 = 34. Calculate the lowest common multiple of 40 and i.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4332136466855 + 5?\nAnswer: -4332136466850","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 1 - 95?\nAnswer: -94","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2 (base 11) to base 14.\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2 + 0 - 3)*(-1159*n + 412*n - 385*n) in the form q + m*n and give m.\nAnswer: 5660","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 432 minutes after 7:57 AM?\nAnswer: 3:09 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = -2*f**4 + f**2 + f - 2. Let a(z) = 2*z**4 - 2*z**2 - 13*z - 1014. Let j(u) = -a(u) - 2*q(u). What is the derivative of j(p) wrt p?\nAnswer: 8*p**3 + 11","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) be the first derivative of r**6\/360 + r**5\/120 + r**4\/24 - 7*r**3\/3 - 1. Let t(n) be the third derivative of b(n). Let v = 124 + -125. Determine t(v).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 101112.535 rounded to zero dps?\nAnswer: 101113","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -9 - 7. Let f = z - -16.068. Let m = 0.117 - f. What is m rounded to two dps?\nAnswer: 0.05","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) be the third derivative of -33*m**7\/70 - 11*m**6\/120 - 151*m**4\/24 + m**3\/2 - 1581*m**2. Find the second derivative of o(f) wrt f.\nAnswer: -1188*f**2 - 66*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -7 + 8. Calculate the greatest common factor of d and 4.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand f + 9 - 3 - 2 + (32 + 154 - 1019)*(-1 - 1 + 1)*(0 + f + 0).\nAnswer: 834*f + 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor -m**3 - 8399048*m**2 - 17636001826576*m.\nAnswer: -m*(m + 4199524)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 56.52 - 46.52. What is the nearest to -11 in -3\/5, -0.3, r, -2\/5?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 3 - 3)*(-3 + 3 + k)*(3*k**2 + 0*k**2 + 11*k**2).\nAnswer: -28*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1859*v**2 + 1584*v**2 - 3299*v**2.\nAnswer: -3574*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 2.738 - 2.7. Round b to 2 decimal places.\nAnswer: 0.04","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 143\/10620 and 75\/236?\nAnswer: 10620","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = 0*g + 3*g - 27 + 40 - g**2. Let v be t(5). Solve v*r + 35 = 4*d, -5*d = r - 16 - 4 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -250\/3 - -84. Let l be -22 + 2 + -2 - 2. Let u be (-2)\/7 - l\/(-14). Which is the closest to 1? (a) u (b) t (c) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*l = 3*z + 3, -6*l - 5 = 5*z - 10*l for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (2739\/(-66) - -42)\/(2*2\/40). Let o be (-4 - -3)*(0 + 0). Solve -v*t - 3*n + 16 = o, -3*t - 5*n + 16 = -0*t for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 6762 and 84.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u - 5*j = 264, 81*u + 5*j = 79*u + 102. What are the prime factors of u?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -227.95 take away -2034?\nAnswer: 1806.05","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = 28*x**2 - 321*x + 962. What is the remainder when 1021 is divided by j(3)?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = q**3 + 2*q**2 + 10*q - 47. Is m(16) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = j**2 - 13*j - 29. What is c(-2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = 6*d**2 - 3*d - 5. Let c be ((-6)\/(-9))\/(12\/36). Let k = 16 - 6. Let y(z) = -z**2 + z + 1. Let g(t) = c*n(t) + k*y(t). Let g(o) = 0. Calculate o.\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:39 AM and 11:26 AM?\nAnswer: 467","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t - 44 = -4*g, -2*t = 5*g - 2*g - 63. Which is smaller: 23 or t?\nAnswer: 23","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2550, -2528, -2496, -2448, -2378, -2280?\nAnswer: -2148","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 15 + -13. Suppose 3*g - 2*g + 4*j - 23 = 0, f*g = -2*j + 28. Solve -4*t - 7 = -3*l, 0*l + g = 3*l - 2*t for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -41\/13 < -3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x = 0, n = 3*x - x + 22. Let h = -19 + n. Let v be (20\/5)\/(-4) + h. Solve 1 = w - v*w for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(((sqrt(132)*-2 + sqrt(132))*1 + sqrt(132))\/(sqrt(132)\/(sqrt(11) - sqrt(176) - sqrt(11))))**2.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = -33*t + 496. Let n be p(15). Suppose 4*q + 0*q - 28 = 0. Solve 2*u - n = q for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 10 + -6. Suppose 0 = 2*t - 10, 2*c = -t - s + 9. Suppose c = 5*a + 5*j - 115, 0*a - a + 23 = 4*j. Is a a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = 5*i**3 + 7*i - 8. Let r = -282 + 283. Let t(s) = -1 + 5*s**3 - 4*s**3 + s + 0. Determine r*a(y) - 6*t(y).\nAnswer: -y**3 + y - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -63*l + 83 = 41*l - 21. Let w(t) = 9*t**3 + 2*t - 1. Give w(l).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ucu when three letters picked without replacement from cbcuubcwlbbl?\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*k = -21*k + 225 for k.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14 = j + 3*h, 5*j + 0*h + 5*h = -20 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put together -910702640 and 518.69.\nAnswer: -910702121.31","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Product of 2380 and 0.4.\nAnswer: 952","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 2009 divided by -1895\nAnswer: -2009\/1895","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is a in -10*a**5 + 1686*a**4 + 17036*a**3 - 54216*a**2 + 18416*a + 17088 = 0?\nAnswer: -12, -2\/5, 1, 2, 178","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (6\/4)\/((-18)\/48). Let k be (7 + -5)*(474\/118 - 4). Are k and m nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/11, 0, 1218, 3, -4, -387 in ascending order.\nAnswer: -387, -4, -2\/11, 0, 3, 1218","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 234524 + 5?\nAnswer: 234533","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -10 - -23. Suppose 0 = 3*n - 1 + z. List the prime factors of (-148)\/((-2)\/n*(-18)\/9).\nAnswer: 2, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*k - 135 + 144 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = -s**2 - 184*s - 826. Give n(-178).\nAnswer: 242","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: (-7)\/21 + 18*(-80)\/1080\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rwrw when four letters picked without replacement from rwwwwwwwdrrwwwwww?\nAnswer: 39\/2380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(2\/3)\/o*o\/o**(2\/23))**25*((o**2)**(-3))**(-36) assuming o is positive.\nAnswer: o**(15904\/69)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = 32*d**3 - 609*d**2 + 15*d + 79. Give p(19).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find x, given that 2*x**3\/3 + 104*x**2\/3 + 286*x + 252 = 0.\nAnswer: -42, -9, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Divide -234 by -9.\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t + 6*z = 3*z + 11, -z = 4*t - 6. Suppose 3*s = 22 - 1. Let x be (2*3)\/(-5 + s). Put x, t, -4 in descending order.\nAnswer: x, t, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2.3 times 22\nAnswer: -50.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round -112200 to the nearest 100000.\nAnswer: -100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f - f = -90. Let u = f + 448\/5. Put u, -5, -2 in increasing order.\nAnswer: -5, -2, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = 74*i**3 + 3*i**2 - 2*i - 2. Suppose 2*d + 2*v - 3 = -9, -4*d - 5*v = 14. Calculate the remainder when b(1) is divided by 23 - (-1 + d + -1).\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = -l**3 + 23*l**2 - 21*l - 22. Let s be b(22). Let p(g) = 7*g - 3. Let c(n) = -3*n + 2. Let j(a) = 5*c(a) + 2*p(a). Calculate j(s).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-5)\/(-6))\/((-75)\/(-135)*-1).\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = 20*a - 25. Let f be k(5). Let g = -50 + f. Let v(w) = 4*w - 7. What is the remainder when g is divided by v(5)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q + 6*q + 15 = 0. Put q, -2.75, 4 in increasing order.\nAnswer: q, -2.75, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 4\/89? (a) 8 (b) 3 (c) -0.4 (d) -430\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.7204 + 0.6204. What is the nearest to o in 5, -2\/471, 0, 1?\nAnswer: -2\/471","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 422 bigger than 561?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 83575719*n - 83575561*n = -20856 for n.\nAnswer: -132","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*(-2 + sqrt(175)) + sqrt(175) + (sqrt(175) + -1)*-4)**2 - (0 + sqrt(84)\/sqrt(3) + (sqrt(63)\/sqrt(144))**2 + 0).\nAnswer: -122*sqrt(7) + 11769\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 f when three letters picked without replacement from lffllllllllllf.\nAnswer: 1\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 239, 381, 509, 617, 699, 749, 761, 729?\n\"Answer: -a**3 - a**2 + 152*a + 89","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 - (9 + -6 - -7) - 7?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -68336, -273797, -616228, -1095623, -1711976, -2465281, -3355532, -4382723?\nAnswer: -5546848","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 2\/29, 2\/5, 20\/19, -0.5?\nAnswer: 2\/29","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1584) + -1 + -5 - (sqrt(1584) + -1 + -4))**2 + -4 + (sqrt(1584)*-2 + sqrt(1584))*-4 + (-1*(2*sqrt(1584) - sqrt(1584)))**2.\nAnswer: 48*sqrt(11) + 1581","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 (base 4) in base 9?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (-12)\/(-27) - ((-9)\/63 + 2231\/(-63))?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express ((2 - 5 + 1)*(0 + 3 + 0) + (-4 + 3 + 3)*(-3 - 1 + 3))*(-5*t + 3*t - t) in the form h + k*t and give h.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = v. Let k(a) = -1686462*a**2 + 2*a. What is d(k(x))?\nAnswer: -1686462*x**2 + 2*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3 - (21 + (-1156)\/40 + (0 - (-3)\/(-30))).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mixed_test"},"subset":"dm_maths"} +{"text":"Question: Let k = 191.0527 + -0.0527. Let b = 191.22 - k. What is the second biggest value in 5, -5, b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 3443 and 53523.\nAnswer: 313","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -p = -3*c, -4*p + 2*c = -2*c + 8 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -2609, -2600, -2585, -2564?\n\"Answer: 3*g**2 - 2612","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {n: 14, h: 5}. What is prob of picking 2 h and 2 n?\nAnswer: 455\/1938","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = 150*c**2 + 6138*c - 9. Let q(i) = 53*i**2 + 2047*i - 3. Determine 6*a(u) - 17*q(u).\nAnswer: -u**2 + 2029*u - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 1248\/676 - (48\/26 + -2). Suppose -34*a - 34922 = -n*d - 31*a, 0 = 4*d - 2*a - 69860. Is d prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from gllgoqookgos. Give prob of picking 1 l and 1 q.\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -11\/1449 and -93\/50278.\nAnswer: 3167514","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 73.88303 decades?\nAnswer: 7.388303","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = -t**2 + 5*t. Let k be h(4). Suppose 0 = -k*j - 12 - 0. Let d be (6 + -2)*j\/4. Is -1 at most d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 15 divide 3120?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-70 - -37) + 34 - (5 + 1).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 - 2 = a. Let g = -12 + 23. Let y = a + g. Is y a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16*h = -17*h - 4*m, 5*h - 4*h - 3*m = 7 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2555 to the nearest integer?\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -5 - -9. Suppose d*i + 3461 - 58515 = 3*v, -3*i + v + 41293 = 0. Is i prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -146 + 149. What is the third derivative of 55*p**f - 29*p**3 - 24*p**3 + 18*p**2 - 83*p**2 wrt p?\nAnswer: 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 634305, 635596, 636889, 638184, 639481, 640780, 642081?\nAnswer: 643384","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -170 or -275?\nAnswer: -275","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = -o**2 - o. Let r(h) = 10*h**2 - 5*h + 1. What is 4*i(a) - r(a)?\nAnswer: -14*a**2 + a - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 3640*c**2*o**3 - 36*c**2 - c*o**3 - 40*c*o**2 + 2*o**3 - 2*o**2 wrt o.\nAnswer: 21840*c**2 - 6*c + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v + 1 = -1. Let g be -3 + v + -3 + 7. Let z(y) = 7*y**2 - 7*y - 5. Let n(w) = w**2 - w - 1. Calculate g*z(p) + 5*n(p).\nAnswer: -2*p**2 + 2*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 957 is divided by 12.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) be the third derivative of -r**5\/60 + r**4\/8 + 26*r**2. Calculate z(3).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9213345.54 microseconds to weeks.\nAnswer: 0.00001523370625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 16925*t - 16815*t for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_test"},"subset":"dm_maths"} +{"text":"Question: What is seven quarters of a kilogram in grams?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -11715 divided by -3905.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:53 AM and 2:31 PM?\nAnswer: 158","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -33*z = -109*z - 26036 + 576. Put -2\/11, -2\/19, z in ascending order.\nAnswer: z, -2\/11, -2\/19","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 966299.\nAnswer: 23, 42013","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 231 and 3773?\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -24, -16, -4, 12, 32?\nAnswer: 56","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 l and 2 d when three letters picked without replacement from mlddllmdddlmdm?\nAnswer: 15\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 105*u**3 + 55*u**2 + 918*u - 104*u**3 - 8*u**2 - 47*u**2.\nAnswer: u**3 + 918*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 453591?\nAnswer: 3, 101, 499","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-4)\/(-2)*(-1)\/8. Suppose 0 = -6*o + 5*o - 4. Let s(b) = b + 1. Let z be s(o). Put z, 2, l in increasing order.\nAnswer: z, l, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r - 11 = 4*o, 3*o = 3 - 0. Suppose 3409125 = -2*g + r*g. Suppose -g + 136375 = -2*p. What is p rounded to the nearest one million?\nAnswer: 1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -58909 + 111248. Let k = 90932 - n. Is k a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2760 is divided by 8?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 8066 from -0.03255.\nAnswer: -8066.03255","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 578 minutes before 8:29 AM?\nAnswer: 10:51 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9\/4 - 3\/2*z - 3*z**2 + 3\/2*z**3 + 3\/4*z**4 = 0.\nAnswer: -3, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 q when four letters picked without replacement from {q: 9}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = -16*o. Let f(b) = b**2 - 5. Let c be f(2). Let n be u(c). Solve 0 = -4*p - z + n, p + 2*p + 5*z = -5 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p + 3*a - 15 = 0, -a + 1 = -2*p - 8. Sort p, -8, -2, -5 in decreasing order.\nAnswer: -2, -5, p, -8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*t**4\/3 - 4*t**3\/3 + 32264*t**2\/3 - 1534460*t\/3 - 522242 = 0. Calculate t.\nAnswer: -147, -1, 73","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 134416*i**3 - 4284958*i - 134400*i**3 + 4284958*i.\nAnswer: 16*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = -g**3 + 19*g**2 - 20*g + 8. Let p be a(18). Let b = p + 46. Suppose q + v = 45, -3 = -3*v - b. What are the prime factors of q?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -113.1685794 - -132.06858154. Let t = p + -18.9. Round t to 7 dps.\nAnswer: 0.0000021","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 41100.88 nanograms?\nAnswer: 0.04110088","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find b such that 26*b**4 - 168606*b**3 - 194628*b**2 + 311320*b + 51888 = 0.\nAnswer: -2, -2\/13, 1, 6486","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 28, 25, 26, 31, 40, 53?\n\"Answer: 2*u**2 - 9*u + 35","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -5, 2947081 in decreasing order.\nAnswer: 2947081, 4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 1\/45 of a week?\nAnswer: 224","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 12293117 and -6.\nAnswer: -73758702","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 7920?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 302 minutes before 3:14 PM?\nAnswer: 10:12 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -5 and 29.2.\nAnswer: -146","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 12 + (-3 - (-352)\/(-40)). Let x*j**2 + 2\/5*j + 0 = 0. What is j?\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 2.9 - 2.86. Let r = h + 0.06. Sort 3, 4\/5, r in ascending order.\nAnswer: r, 4\/5, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = b**3 + 26*b**2 + 17*b - 2. Determine p(-25).\nAnswer: 198","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -5457 - -9296. Suppose 5014 = 13*i - y. What is the hundreds digit of i?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 16066.\nAnswer: 2, 29, 277","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -747? (a) -1 (b) -1\/4 (c) -358 (d) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Does 33 divide 2998842?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 58 + -405. Let r = -1575 - x. Is (-2)\/(-3) + r\/(-12) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -48.85 + 0.85. Let s = 43 + c. What is the third smallest value in s, -1, 8\/3?\nAnswer: 8\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -2 - -24?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x - 13 = 15. Calculate the smallest common multiple of x and 6.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 304.6 + -305. What is the biggest value in v, 2, 0.37, 0.05?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 27049602 is divided by 1567?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 837970 a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {c: 7}. What is prob of sequence ccc?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -5 (b) -0.0404 (c) 1 (d) 0.1 (e) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in fifty-four fifths of a meter?\nAnswer: 10800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 219 is divided by 118.\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -20411342*0.3.\nAnswer: -6123402.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 263\/3 + -87. Let w(d) be the first derivative of l*d - 2\/9*d**3 + 1\/6*d**4 - 3 - 1\/3*d**2. Solve w(g) = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = 4*v**3 - 5*v**2 - 10*v - 13. Let n(i) = -5*i**3 + 4*i**2 + 11*i + 12. Let x(h) = -3*n(h) - 4*t(h). Is 4 a factor of x(8)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -4478 - -5081. Is 605 > q?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) 2\/7 (b) 0.6 (c) -0.1 (d) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/13 in 0.2, 0.3727, 3, -1\/4, -5?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:54 AM and 5:14 PM?\nAnswer: 680","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -33970, -68003, -102112, -136297, -170558?\n\"Answer: -38*z**2 - 33919*z - 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 30966, 57281, 83596, 109911?\nAnswer: 136226","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -67, -333, 3, -13 in descending order.\nAnswer: 4, 3, -13, -67, -333","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00011375 rounded to six decimal places?\nAnswer: -0.000114","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 93264 is divided by 11.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = -g**2 + 42*g - 261. Determine f(8).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q + 6 = 0, q - 170 = n - 3*n. Suppose 2*r - 5*j = 70, 0 = 4*r - j + 5*j - n. Does 25 divide r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) be the third derivative of b**4\/12 - b**3\/6 - b**2. Let y be g(-4). Let a(c) = -c - 9. Let h be a(y). Is 2\/25 less than h?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = l - 1. Let s be (-3 - 0)\/(312\/104). Let f(z) = 9*z + 2*z**2 - 2*z - 4 + z. Determine s*f(w) + 8*o(w).\nAnswer: -2*w**2 - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 25, 93, 163, 235, 309, 385, 463?\n\"Answer: f**2 + 65*f - 41","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is g in 3*g**4\/4 + 697*g**3\/4 + 6967*g**2\/4 + 18895*g\/4 + 2775\/2 = 0?\nAnswer: -222, -5, -1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor l**3\/2 - 525*l**2\/2 + 16919*l\/2 - 110475\/2.\nAnswer: (l - 491)*(l - 25)*(l - 9)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 12\/9*(-3)\/(-2). Find the third derivative of 5*j**l + j**6 + j**5 - 5*j**5 + 4*j**5 wrt j.\nAnswer: 120*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0.2 or -1563890762?\nAnswer: -1563890762","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange y - 4 + 4 + 8*y - 6*y + 9*y + (-3 + 1 + 0)*(y + y + 0*y) - 3*y - 2*y + 4*y to q + o*y and give o.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*f + f - 2*f)*(f - 2*f + 0*f)*(5*f**2 + 0*f**2 + 9*f**2).\nAnswer: 42*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 8, -125 in decreasing order.\nAnswer: 8, -2, -125","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -109*p**2 - 616*p + 1226*p - 610*p + 123*p**2.\nAnswer: 14*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 33 and 15?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.1106062 + -0.10937. What is p rounded to four decimal places?\nAnswer: 0.0012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1263391730?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2 + 6 - 3 + 6*d**2.\nAnswer: 6*d**2 + 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -375? (a) 2 (b) -1\/5 (c) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 4758, 4897, 5052, 5223?\n\"Answer: 8*r**2 + 115*r + 4635","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.1 - -1.3. Let t = -1 + a. Let g = -2 + 3. Sort g, 3, t in descending order.\nAnswer: 3, g, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 3527, 5, 3\/4, 1, -1 in ascending order.\nAnswer: -1, 3\/4, 1, 5, 3527","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify z*z**6*z**(8\/11) assuming z is positive.\nAnswer: z**(85\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s - 4*s + 25 = 0. Suppose -3*y + 77 = s. Suppose 0 = -5*m - 3*n + 53, 0 = 5*m + n - 4*n - 77. Calculate the remainder when y is divided by m.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7151*z + 5074*z - 12225*z - 7*z**3.\nAnswer: -7*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 119127 is divided by 114.\nAnswer: 111","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) be the third derivative of -157*l**5\/36 + 295*l**4\/9 - 5*l**3\/6 - 4722*l**2. Factor m(q).\nAnswer: -5*(q - 3)*(157*q - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = -2*w. Let p = 118 - 108. Let q(l) = l - 20. Let z be q(p). Calculate the remainder when m(z) is divided by 11.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = 23*m - 26. Let l(n) = -8*n + 9. Calculate 17*l(i) + 6*y(i).\nAnswer: 2*i - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1551 and 8572377?\nAnswer: 1551","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 18 * 18\nAnswer: 324","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express 12 + 162*m**2 + 2 - 14 in the form y*m**2 + b + u*m and give y.\nAnswer: 162","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 26 and 2886.\nAnswer: 2886","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (162\/1458)\/(-1*(-8)\/(-132)).\nAnswer: -11\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -2545 (base 6) to base 10\nAnswer: -641","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) be the second derivative of 3*i**3\/2 - 33*i**2 - 245*i - 2. Calculate o(8).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 - (2 - (2 - 5))?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -660 - -955. Is l a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.7705853 decades in centuries?\nAnswer: 0.07705853","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = 2083*i + 10397. Give z(-5).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: ((-11)\/99*3)\/(5*6\/1530)\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 20 and 590.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 29196?\nAnswer: 2, 3, 811","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 2275746490 to the power of 1\/2, to the nearest integer?\nAnswer: 47705","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -113 + -23?\nAnswer: -136","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -7\/234 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 = 109*p - 108*p. Suppose z - p = -7. Solve -3*w + 8 = z*b, 0 = -w - 0*w - 2*b + 8 for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (289\/(-51) - -1) + 5.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -107\/5 + 21. What is the closest to 0 in m, -0.04, 1\/8?\nAnswer: -0.04","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = -v. Let d(b) = -21678923*b. Calculate y(d(n)).\nAnswer: 21678923*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 10 and 517995835?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 4*j**6 + 1315*j**4 + 8*j**2 + 130*j?\nAnswer: 480*j**3 + 31560*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gmy when three letters picked without replacement from {n: 1, g: 3, m: 2, y: 3, k: 2, d: 1}?\nAnswer: 3\/220","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 7629736217?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) be the second derivative of n**5\/20 - n**4\/6 - 3*n**2\/2 - 2*n. Let g(p) = 4*p**2 - 1. Suppose -3*q - 1 = -4. Let d be g(q). Determine k(d).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = -200*d - 67. List the prime factors of f(-3).\nAnswer: 13, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q - 4 = -a + 6*q, -4*a + 2*q + 16 = 0. Suppose 5*h - 2*s - 360002 = 0, 2*h - 5*s = a*h - 143995. What is h rounded to the nearest 10000?\nAnswer: 70000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = -205*c**2 - 2*c - 1. Determine k(-1).\nAnswer: -204","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 27437 is divided by 910?\nAnswer: 137","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-17 - -21) + 1 + 0.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -7 + -54. Let h be (f - 0)*8*-1. Suppose 0 = -g + h + 9. Is g prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*x - 3*g + 2, -g - 2 = -x - 4. Suppose -2*d + 2 = -8. Let t be 1*x - (5 + d). Sort t, -4, 3.\nAnswer: t, -4, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 377984?\nAnswer: 2, 2953","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = 213*c. Let o(g) = 9*g**2 - 3*g. Determine m(o(p)).\nAnswer: 1917*p**2 - 639*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -75*k**2*w + 423922*k**2 + k*w + 66*k - 4*w + 31233 wrt k?\nAnswer: -150*w + 847844","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3518*b - 484211 = 1389*b - 27860 for b.\nAnswer: -93","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 4\/10 - ((-14)\/(-35) - 4). What is the biggest value in j, -9, 0.8?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pph when three letters picked without replacement from hddzhddlpldhldedphhd?\nAnswer: 1\/684","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -5*11\/(-55)*(-1)\/4\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 27914015?\nAnswer: 5, 5582803","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Total of -87205914 and -98839.\nAnswer: -87304753","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -52, -48, -44, -40?\n\"Answer: 4*n - 56","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 77\/108 and -35\/6.\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-130*k**2 + 130*k**2 + 12*k**3)*(19 + 10 - 2).\nAnswer: 324*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 211 and 211?\nAnswer: 211","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10256*w**2 + 10254*w**2 + 197 + 10263*w**2 - 30775*w**2.\nAnswer: -2*w**2 + 197","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -79255 = n + 2*m, -4*n + n + 3*m - 237729 = 0. Let w = -48850 - n. Is w composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 6958 + -6961. What is the closest to 0.05 in 4, 1\/4, j?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = -7*i + 1. Let y be o(1). Let x = y + 8. Let j(k) = 0*k - 2*k**x + 0*k + 0*k**2. Let v(m) = 4*m**2. What is j(v(n))?\nAnswer: -32*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9771581?\nAnswer: 2897, 3373","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000026225 rounded to 7 dps?\nAnswer: 0.0000026","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Determine z, given that 3*z**2 - 389802*z - 389805 = 0.\nAnswer: -1, 129935","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is (13 - 8)*(1310 - 3) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = -9 + 9 + 6 - 4*k - 8. Suppose -3*o - 5*w + 66 = 0, -o + 2*o - 2*w = 22. Let x = o + -16. Let t(d) = -3*d - 2. Determine x*t(m) - 5*c(m).\nAnswer: 2*m - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is -6630 smaller than 1095?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 662720 and 95?\nAnswer: 95","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 7200 and 6000800.\nAnswer: 800","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2187*a**2\/4 - 81*a\/2 + 3\/4.\nAnswer: 3*(27*a - 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3 + 2 - 3)*(4*r + 5*r - 12*r) + 0 + 0 - 3*r + (2 - 3 - 1)*(0*r - 3*r + r) to the form u*r + q and give u.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 94403849?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -48 + (-21 - -21 - -1) + 18?\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -0.02*-10280\nAnswer: 205.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 1*(3\/36 + (-284)\/(-48)) - 2?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Determine a so that -2*a**3\/9 + 17192*a**2\/9 - 34378*a\/9 + 17188\/9 = 0.\nAnswer: 1, 8594","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 d and 1 x when two letters picked without replacement from {g: 8, x: 1, l: 1, q: 1, d: 6}?\nAnswer: 3\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = -19*i**2 - 81*i**2 + 120*i**2 - 19*i**2. Let n(u) = 1. Let t(d) = 2*d - 27. Let k(w) = 6*n(w) - t(w). Give k(v(c)).\nAnswer: -2*c**2 + 33","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put together 8 and -162518098.\nAnswer: -162518090","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is (72\/(-90)*-1)\/(1\/5)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*w + 4*w + 2*w**2)*(-5958*w + 2652*w - 7851*w + 1335*w - 6031*w).\nAnswer: -31706*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -14 - -19. Let b = p - -15. List the prime factors of b.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*o - 2*t + 4*t - 9035, o - 2*t - 3017 = 0. What is the units digit of o?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -4*z**2 - 19963616*z - 24909122737216 = 0. What is z?\nAnswer: -2495452","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 2499 and -15.664546?\nAnswer: 2514.664546","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -4, 0, -308.\nAnswer: -308, -4, -2, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = -41*w + 31. Let j be l(1). Does 53 divide (-47705)\/(-45) - j\/(-90)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jh when two letters picked without replacement from fjyxjjfjhfjjhfxf.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:50 AM and 7:18 AM?\nAnswer: 388","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1287 divided by -3.\nAnswer: -429","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 v when three letters picked without replacement from mmmvmmmmmmmmmmmmvmm?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = -h**3 + 10*h**2 + 62*h + 11. Calculate d(-4).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:26 PM and 11:03 PM?\nAnswer: 277","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (8\/(-24))\/((-1)\/36). Suppose 4*g = 16, -5*g + 16 = 4*q - t. Suppose -3*l - 6*j + 1193 = -q*j, 3*j = 3*l - 1158. Is l a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 575 divided by 115?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + (sqrt(175) + -1 - sqrt(175)) + -3.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = n + 2. Let p be h(-4). Suppose 5*i = 13*i - 328. Let y = i + -49. Is p greater than or equal to y?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -k - 2*q + 7708, -23122 = -3*k - 17*q + 13*q. What is the tens digit of k?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = -t**3 + 8*t**2 - 9*t + 10. Give v(7).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -28, -1\/813, 0, 0.4, -1?\nAnswer: -1\/813","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o + 3*o + 6 = 0. Let h(v) = 7*v**3 + 7*v**2. Let k(z) = 6*z**3 + 8*z**2. Let f(s) = o*k(s) - 2*h(s). Find the third derivative of f(c) wrt c.\nAnswer: 24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:24 PM and 2:27 AM?\nAnswer: 303","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i*i**1*i)\/i*i\/i**(1\/3)*(i\/(i*((i*i\/i**(-1)*i*i)\/i)\/i*i)*i)**(-2\/97))\/(i**(-1)\/(i**6*i))**(-1\/25) assuming i is positive.\nAnswer: i**(17522\/7275)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 867 + -871. Which is the third biggest value? (a) -0.5 (b) -26 (c) -0.07 (d) f\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence en when two letters picked without replacement from {j: 2, m: 1, n: 6, e: 2, z: 1, x: 3}.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1440846845 to the nearest integer?\nAnswer: 37958","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in five eighths of a millimeter?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 526683 and 13827?\nAnswer: 1257","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.06 times -26.8?\nAnswer: 1.608","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/4 in -5, -1\/321, -1?\nAnswer: -1\/321","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -1106 + 134?\nAnswer: -642","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -13b37 (base 13) to base 14\nAnswer: -d70d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 853876 and 16424556?\nAnswer: 279217452","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 36 - 32. Suppose 5*g - 68 = j*n, 2*n - 5 - 33 = -2*g. 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 r be (4 - (1 - -1))\/(24\/540*15). Solve w + r*w + 4 = -2*l, -2*w - 4 = 2*l for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = -o**2 + 47*o + 2633. Give g(-33).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -10\/11 and -101\/4190?\nAnswer: 46090","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does 179 divide 112241251?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qkqqqqqkq. Give prob of sequence kq.\nAnswer: 7\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(sqrt(2736) + -3*(3 + sqrt(2736))) + 0.\nAnswer: -96*sqrt(19) - 36","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = 5438*v + 50. Let o be j(25). What is o rounded to the nearest ten thousand?\nAnswer: 140000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n + 28*n = -21*n. Solve -5*t - 29 + 9 = n, -w - t - 6 = 0 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*l**2 - 9*l**3 + 5*l**2 + 31*l**3.\nAnswer: 22*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 48*(30\/8 - 3). Suppose 18*g - p = -0*g. Solve 4*u - 3 = 5*o + 2, -g = 3*u + 2*o for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = -n + 1. Let r be q(2). Let y(m) = 6*m - 25. Let j be y(5). Let v be (-6)\/(-2) - j*r. Is v at least 7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -115 (base 6) in base 14?\nAnswer: -35","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 16 - 11. Suppose b*r - 135 = -0*r. What is the units digit of r?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 1 + -197a691a?\nAnswer: -197a6919","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express -12*x**2 + 3*x - 16*x**2 - 15*x**2 - 19*x**3 + 41*x**2 in the form m + p*x + k*x**3 + r*x**2 and give k.\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 797?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 105574 and 1792.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 24 - 42. Let q be (8\/(-6))\/(6\/v). Is 3 at least as big as q?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -821781 or -2465345\/3?\nAnswer: -821781","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 91, 190, 281, 364, 439?\n\"Answer: -4*q**2 + 111*q - 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 100110111010111 (base 2) to base 11.\nAnswer: 13a76","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (0*(8 + -7)\/(-1))\/(-2). Solve k = -179*x + 181*x - 6 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 753639.8 decades to millennia.\nAnswer: 7536.398","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = 12*r**2 - 26*r - 41. Suppose 5*l = -4*n - 24, -l = -12*n + 16*n + 24. What is the units digit of q(n)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = -4*d - 5. Let f be s(0). Let h(o) = -13*o - 3. Is h(f) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -18 - -0.684273.\nAnswer: -17.315727","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 6\/(-9)*3\/(-4). Let d be 1 - 4 - -13*5\/20. Factor -1\/4*y**4 + 0*y - d + l*y**2 + 0*y**3.\nAnswer: -(y - 1)**2*(y + 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (903\/(-43) - -23) + ((-688)\/(-12) - 2\/6).\nAnswer: 59","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 513 and 198018.\nAnswer: 198018","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is (1 - -1) + 2 + 0 + -1?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 e, 1 z, and 1 k when three letters picked without replacement from {k: 2, a: 5, j: 3, e: 4, z: 5, m: 1}.\nAnswer: 2\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g = -2*g. Let r = 9 - g. Is r a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -14*t + 9*t + 15 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 149, 296, 443, 590, 737?\nAnswer: 884","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = -z - 11. Let q be p(-12). Suppose -q + 0 = -y. Solve 5*d = -3*b - 0*d + y, 4*d = 5*b - 14 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 90 + -63. Let a = -27.0000031 + i. What is a rounded to six dps?\nAnswer: -0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 75 a factor of 20954380?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 571 - -8180. What is the units digit of b?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/2 in 1\/8, -3, 47?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h = -p + 11, 0*p + 5*h - 8 = -2*p. Let g = 12 - 4. Calculate the least common multiple of p and g.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n\/(n\/(((n\/(n*n**(-1)))\/n)\/n))*n)**31*(n**6\/n)**32 assuming n is positive.\nAnswer: n**160","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*w**3 - 323388*w**2 - 161700*w + 161696 = 0.\nAnswer: -1, 1\/2, 40424","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-9)\/12)\/((-423)\/(-24)).\nAnswer: -2\/47","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = -1126 - 2*s**2 + 1126. Let q(a) = 4 - 4 + 293*a - 391*a. Calculate q(c(f)).\nAnswer: 196*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -307 (base 10) in base 16?\nAnswer: -133","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 208, 850, -5, 44 in descending order.\nAnswer: 850, 208, 44, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is seventeen halves of a minute in seconds?\nAnswer: 510","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) be the first derivative of i**3\/3 - 2*i**2 - 7*i + 1. Suppose -4*o + 5*u = 2*u, -4 = -u. Let x = o + 2. Determine g(x).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 8851972?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put 14, 8, 38, 10 in ascending order.\nAnswer: 8, 10, 14, 38","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 4056 and 1104?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.638 + -67.238. Let y = -67 - q. Which is the second smallest value? (a) -2 (b) -1\/7 (c) y (d) 2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -32120532 + -5?\nAnswer: -32120541","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -3 + 7. Let b be 16*(2\/(-8) + 39\/12). Let s = b + -38. What is the smallest common multiple of i and s?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (0 - (-9)\/6)*17312\/48 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*k - 9 - 51. Suppose -l + k = -0. Calculate the lowest common multiple of 1 and l.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 2 or 1832\/1813?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 127\/5 at most 26?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from twt. Give prob of sequence tt.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = 5*f. Let q(h) = -6961*h**2 + 2. Determine v(q(k)).\nAnswer: -34805*k**2 + 10","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -5642 - -2452?\nAnswer: -3160","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j**2\/13 + 18*j\/13 + 20\/13 = 0. Calculate j.\nAnswer: -1, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -4468649, -8937299, -13405949, -17874599, -22343249, -26811899?\nAnswer: -31280549","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -6 - -32. Suppose -8972 + 1216 = -745*v + 191*v. Calculate the smallest common multiple of z and v.\nAnswer: 182","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6*n**5 + 3*n**3 - 3*n**3)*(-4 + 5 + 7).\nAnswer: -48*n**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d = -5 - 0, 4*d - 12 = -4*j. Let f(p) = -390*p**j - 791*p**2 - 8957*p**2 - 12362*p**2. Let z be f(2). What is z rounded to the nearest ten thousand?\nAnswer: -90000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -72 + (1 - -35) - -37?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -27, -37, -59, -99, -163, -257, -387?\nAnswer: -559","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide 152409 by 3.\nAnswer: 50803","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2\/(-2))\/((-60)\/(-120)).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -69 - -72.7. Let h = -4 + s. Which is the nearest to 1\/4? (a) 0 (b) -3 (c) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = 359*n + 20700. What is the units digit of g(-48)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -181 + -185632273.\nAnswer: -185632454","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -63267*d + 72184 wrt d?\nAnswer: -63267","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.0625 - 340.4015.\nAnswer: -340.339","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j + 5*b = 157, 5*b = 5*j + 2*b + 267. Is j >= -107\/2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 175465858?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 106800641 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert 22221425 (base 6) to base 15.\nAnswer: d4055","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 (base 12) in base 14?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 355 smaller than 357?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -0.5 + 0.7036013475\nAnswer: 0.2036013475","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand -17*q**3 - 40*q**3 - 39*q**3 + (-1 - 2 + 2)*(-5*q + 30*q**3 - 27*q**3 - q).\nAnswer: -99*q**3 + 6*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -47\/1078 and -64\/114499?\nAnswer: 1602986","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 685 and -317.\nAnswer: -217145","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 619 is divided by 234?\nAnswer: 151","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 4 + 2)*(351 + 232 - 145)*(-2 + 0 + 1)*(3*t - 2*t + 0*t).\nAnswer: 438*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = 452730*g + 5885489. Calculate t(-13).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = -2*a**3 + 20*a**2 + 203*a - 1806. Calculate d(12).\nAnswer: 54","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) be the first derivative of 5*x**6 - 23*x**4\/4 - 610*x**3\/3 + 2*x + 4506. What is the third derivative of v(i) wrt i?\nAnswer: 1800*i**2 - 138","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = -6283 + 6283 - 219*o. Let g(h) = 30*h. Calculate j(g(m)).\nAnswer: -6570*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*g**4 + g - g + (6 + 4*g**3 - 6)*(7 + g - 7) - 30*g**4 + 37*g**4 + 97*g**4 in the form z*g + u + o*g**2 + b*g**4 + m*g**3 and give z.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 61 or 14115\/236?\nAnswer: 14115\/236","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b + 21 + 2 = 0. Let l = 28 - b. Let 2*m**2 + m - 3*m**2 - 9*m + l*m**2 = 0. What is m?\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 223788301?\nAnswer: 11, 461, 44131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 32\/5 of a litre?\nAnswer: 6400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) be the second derivative of -45*z + 0 + 0*z**2 - 5\/6*z**3. Let x(k) = -k**2 + 3*k**2 + k**2. Determine x(i(u)).\nAnswer: 75*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -45*i**4 + 105*i**3 - 80*i**2 + 20*i = 0 for i.\nAnswer: 0, 2\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -14, 9, 68, 181, 366?\n\"Answer: 3*s**3 + 2*s - 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 126 and 261261?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 40\/48*6 - -960?\nAnswer: 5, 193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = j**3 - 3*j**2 + 3*j - 3. Let h be o(3). Let a(x) = x**2 - 6*x - 7. Let n(t) = -t. Let q(b) = -a(b) + 2*n(b). Calculate q(h).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 330 + 7*o - o**2 - 1030 + 2*o**4 + 698 + 3*o**3 to the form a*o**3 + l + j*o**4 + x*o + c*o**2 and give a.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6 - 4*a**2 - 6)*(1 + 2*a**2 - 1) - 2*a**4 + 5*a**2 - 5*a**2 + 62*a - 10*a**4 - 62*a + (2*a + 0*a + a)*(-3*a**2 + 3*a**2 - a**3).\nAnswer: -23*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 5863?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor -6\/5*k + 308\/5 - 2\/5*k**2.\nAnswer: -2*(k - 11)*(k + 14)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 374908003 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 35162 to the nearest integer?\nAnswer: 188","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o - 25 = 3*o, l + 30 = -3*o. Let n be -5*((-18)\/l)\/(-3) + -16. Let z = n - -16. Solve 0 = 3*r + 2*v + z, 3*v + 8 = -5*r + 3 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -400 (base 6) in base 16?\nAnswer: -90","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -1601440 divided by 4\nAnswer: -400360","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 4889867 to the nearest integer?\nAnswer: 2211","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.315 - 29.485. Let t = s + 37. Let b = t + -7.20248. Round b to 4 decimal places.\nAnswer: -0.0025","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n = -0*n + 5124. Let q = -13579\/8 - n. What is the common denominator of q and 406\/120 + 2\/(-6)?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) be the second derivative of 0 + v**3 - 1\/12*v**4 + 5*v**2 - v. Calculate i(7).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 2\/7 of a week?\nAnswer: 48","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 25252*i + 5*i**2 - 25252*i + 2*i**3.\nAnswer: 2*i**3 + 5*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -20 - 7*z + 20.\nAnswer: -7*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = r**2 + 17*r + 35. Let t be a(-15). Suppose 3*s - 109930302 = t*v - 28430299, -3*s = v + 16299997. What is v rounded to the nearest one million?\nAnswer: -16000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -39.86939 - 0.04061. Let l = 0.09 - y. Let p = 43 - l. Which is the third biggest value? (a) 0.2 (b) p (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ce (base 16) in base 5?\nAnswer: 1311","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1166746399?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from wgqwwgbbghg. Give prob of picking 2 w and 1 q.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 + 5 + d)*(-3 + 2 - 2)*(-2*d + 2*d + d**3) - 16*d**4 + 17*d**4 + 42*d**4.\nAnswer: 40*d**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5373.555ml to litres.\nAnswer: 5.373555","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l**3\/4 + 133363*l**2\/4 - 600097*l\/2 + 266708 = 0. Calculate l.\nAnswer: 1, 8, 133354","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 117 and 963.\nAnswer: 12519","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -0.06 (b) 0.5 (c) -6\/7 (d) 11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -274 - -198. Is -78 > r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 716011359 to the power of 1\/7, to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.81 - -0.41. Which is the closest to -2? (a) -0.3 (b) n (c) -1\/8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -89 - -91. What is the third derivative of -25*k**2 + 72*k**z + 53*k**2 + 16*k**3 wrt k?\nAnswer: 96","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*g - 12 = 2*g. Let z be (g\/2)\/((-18)\/(-12)). Let n = 2 + z. Is n at least 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-20)\/(-2250)*-27*(2\/(-2) - 4)?\nAnswer: 6\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*z**3\/9 + 8*z**2 + 622*z\/9 + 184\/3.\nAnswer: 2*(z + 1)*(z + 12)*(z + 23)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -111*w + 104*w = -28 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 400 is divided by 86?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -11 + 15. What are the prime factors of 32 - (a - 2\/2)?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 159538607.\nAnswer: 61, 167, 15661","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -54 - -48. Let l be ((-2)\/(-3))\/(m\/(-45)). Solve -l*g + 3 = -2*g for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -81\/3080 and 39\/700.\nAnswer: 15400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Determine q, given that q**2 + 242254*q - 5087775 = 0.\nAnswer: -242275, 21","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -541*m**2 + 236 - 3*m + 31*m + 3*m - 236 wrt m?\nAnswer: -1082","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (1\/1)\/((-1620)\/(-360))?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = -317*m + 650. Give n(2).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 29 + (-28 - (-36 + 29)) - (-33 + 0 - 3).\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f**(-1\/3))**46*f**9*f*f**(2\/9)*f)**(16\/9) assuming f is positive.\nAnswer: f**(-592\/81)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 2 + -5. Let c = 15 - j. Which is greater: 0.1 or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = 1 + 2 - 2*x - x. Suppose -b = 5*c + 48, 0 = -0*c + 2*c + 3*b + 14. Is p(c) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = -5*j**3 + 30*j**2 - 4*j - 4. Let d(m) = -5*m**3 + 29*m**2 - 3*m - 3. Determine -4*d(y) + 3*r(y).\nAnswer: 5*y**3 - 26*y**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 148*n**3 - 2*n**2 + 82*n?\nAnswer: 888","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 537 + -524 - (11606\/(-5096) + 2\/14)*-6?\nAnswer: 5\/26","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = 5*n + 2*t, -1 - 14 = 4*n + 3*t. Let w(j) = -3*j - 19. Let l be w(-8). Suppose n*f = -l*f + 105. Is f a multiple of 21?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -5.4 + 5. Let n = 9\/2 + -2. Sort x, n, 0.3.\nAnswer: x, 0.3, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -7.8 - -12.8. Let m = 0.7 - -0.3. Let z = -2 - m. Which is the closest to -1? (a) z (b) 0 (c) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = 4*f**2 + 1. Let h be (-1)\/((-2*2)\/4). Let w be m(h). Suppose 12 = w*a + 2*n, -3*a + n + 2 = -3*n. Solve 6 = -4*u + a*i, -4*i + 8 = -3*u - u for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 282 divide 122388?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) be the third derivative of v**7\/490 - 9*v**6\/280 + 3*v**5\/28 - v**4\/8 + 18*v**2. Determine j, given that u(j) = 0.\nAnswer: 0, 1, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2aa01b (base 15) to base 7\nAnswer: -23333156","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -4210 + 4272. Let d = -71.3 + 9.3. Let x = d + b. What is the third biggest value in -1, x, 3, 2?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5457 is divided by 1378.\nAnswer: 1323","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-23 - -1) + 248 + -266.\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.661 + -0.461. Let d = 53\/77 + -6\/11. Let u = 0.5 - 2.5. Sort u, d, n in descending order.\nAnswer: n, d, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3658 a multiple of 31?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 2.1 + -2. Suppose 8*l + 3 = -5. Which is the nearest to 1\/2? (a) l (b) -4 (c) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*m**3 - 15*m**2 + 3 + 15*m**2 to f*m + c*m**2 + d*m**3 + k and give c.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) be the second derivative of -1\/30*i**4 + 0*i**2 + 0 + 1\/75*i**6 + 1\/15*i**3 - 1\/50*i**5 + i. Solve j(w) = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 5, -10, 5\/4, -2.5?\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 90 - 1044\/11. Find the common denominator of 52\/47 and d.\nAnswer: 517","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (7\/21)\/((-6)\/(-4230)). Suppose 0 = 244*t - b*t - 18. Solve 0 = -2*p + 4*s + 8, 5*s = t*p - 5*p - 21 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w + 1 = -23. Let d(a) = -7*a - 3. Is d(w) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 52109 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = -5*h - 2. Give f(9).\nAnswer: -47","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2030032*y**2 + 8485264*y wrt y.\nAnswer: 4060064","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) be the second derivative of v**3\/6 - 3*v**2\/2 + 4*v. Let u be (3 - 7 - -29)\/(-1). Let b be ((-15)\/u)\/(3\/15). What is m(b)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w - w - 2*j = -90, -w + 5 = 3*j. Suppose -3*p + i = 5*i + 17, 4*i + w = 0. Let t be 4\/p + (-8 - -8). Solve 5*o - t*c = -7*c + 8, 4*c = o + 3 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 13\/4 of a litre in millilitres?\nAnswer: 3250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 833.\nAnswer: 7, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide (31 + -51)*5\/(-4)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_test"},"subset":"dm_maths"} +{"text":"Question: Simplify (((t*t\/t**(-4))\/t)\/t*t*t)**(2\/63) assuming t is positive.\nAnswer: t**(4\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = 124*n**3 + 3*n**2 - 2. List the prime factors of f(1).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s = -2*d + 5*s + 14, -2*d - 2*s = -8. Let t be (-30)\/9 - (-12)\/9. Let n = 0 - t. Solve d*l + n = -3 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = -34*b. Let w(y) = 6*y**2. Determine w(t(n)).\nAnswer: 6936*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -70749, -282986, -636713, -1131930, -1768637?\nAnswer: -2546834","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3119 is divided by 52.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 6 + 1. Suppose -3*m + g*m = 0. Suppose 4*k + k - 20 = m. Solve 14 = k*z - 2 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 49, 78, 81, 46, -39?\n\"Answer: -2*l**3 - l**2 + 46*l + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express 4*s + 2*s**2 - 11*s**3 + 163 - 81 + 12*s**3 in the form w + f*s**3 + g*s**2 + p*s and give g.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -12 - -12. Suppose r = -2*a + a. What is x in a + 1\/5*x**2 + 1\/5*x = 0?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 3527 - 1851. Find the first derivative of x - 3*h - 96*h**3 - 1737 + 3*h wrt h.\nAnswer: -288*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -12, -2, 4, -4, 3 in ascending order.\nAnswer: -12, -4, -2, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(425)*4*-4 + 4 + sqrt(425) + 5 + 5 + -3*(4 + sqrt(425))*5)**2.\nAnswer: 13800*sqrt(17) + 384616","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 86489 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*q + 0*a - 5*a + 20 = 0, -4*a = 5*q - 16 for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2 - 1 - 82) + 1585 + -1599.\nAnswer: -95","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = x + 4 - 1 + 5. Let j = 129 - 128. What is the lowest common multiple of j and f(-7)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 6550 to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2739 - -2668) + 3 + -19?\nAnswer: -87","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3966 + 3966 + 28*s**3.\nAnswer: 28*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -857*y**2 + 111880 - 111880 + 2*y**3 - 570*y**2.\nAnswer: 2*y**3 - 1427*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 6606943 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(-13)\/(b\/(b*b**(-13)\/b)*b))\/(b**(-7)\/b*b*b*b**(2\/39)) assuming b is positive.\nAnswer: b**(-860\/39)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6*(-5)\/(-20)*1085\/62*(-24)\/(-21).\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 3220743787 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 2.86 + -3.26. Which is the nearest to -2\/5? (a) 11 (b) 4 (c) q (d) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = -2*m**2 - 2117*m + 4235. What is a(2)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 1583191 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*k + 7*k = 25 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n - w - 2*w - 9 = 0, 3*w + 3 = n. Suppose 6 = -d + 2*a, -3*a + n + 6 = 5*d. Factor d + 2\/3*j**3 + 4\/3*j**2 + 2\/3*j.\nAnswer: 2*j*(j + 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -28 + 56 + 4*k - 28 - 2*k.\nAnswer: 2*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = 13*j**2 - 5. Let m(y) = -14*y**2 + 4. Calculate 5*m(i) + 4*u(i).\nAnswer: -18*i**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 83\/2 - 42. Let n = -6 + 6.3. What is the closest to o in 5\/2, -0.3, n?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -14 + 23. Does 3 divide z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -53\/1778 and 11\/4932172?\nAnswer: 4932172","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -1447*h**4 + 1220*h**3 - 2*h**2 - 11055*h + 28.\nAnswer: -34728*h + 7320","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express 25*a**4 - a - 29*a**4 + 2*a + 3 - 2*a**3 in the form b*a**2 + d*a**3 + x + t*a**4 + v*a and give t.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 2872 and 2.\nAnswer: 2872","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 - (6 - 0) - -5 - -1.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 14 in -0.5, 0.5, 6, -0.3?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 822393219 to the nearest integer?\nAnswer: 937","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = 2*k**3 + 175*k**2 - 89*k - 170. Determine b(-88).\nAnswer: -82","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1968 or 1963?\nAnswer: 1968","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*r**2 - 26*r + 48*r - 48*r.\nAnswer: -2*r*(r + 13)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -712*v - 752*v + 1416*v - 1920 = 0 for v.\nAnswer: -40","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 662*d**3 + 645*d**3 - 1328*d**3.\nAnswer: -21*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -12, 8, -9, -0.4?\nAnswer: -12","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -4 (b) 6.3 (c) -1174337\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m + 817 = 4*w, -m - 4*w = -0*w - 267. List the prime factors of m.\nAnswer: 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 68810065, 68810066, 68810067, 68810068, 68810069, 68810070?\nAnswer: 68810071","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) 5 (b) 1\/9 (c) 0.3 (d) 4 (e) 0.122 (f) 3\/7 (g) -8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/20 of a tonne in grams?\nAnswer: 50000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 42*r = -20 - 22 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -5\/651283 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Work out 16 * 2891.\nAnswer: 46256","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 1011022020 - 20012?\nAnswer: 1011002001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l = 2*l - 16. Solve -t - l = -0 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 951 is divided by 314?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand g + 0*g + 6*g + (-1 - 3 + 2)*(-2*g + 3 - 3) + (1 + 0 + 0)*(2*g - 2 + 2).\nAnswer: 13*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 317.7 + -302. Let w = -2.3 - x. Let t = -18.000011 - w. What is t rounded to five decimal places?\nAnswer: -0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*i**3 - 748*i + 376*i + 372*i + 3*i**3.\nAnswer: 8*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13*o + 10*o = 92 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -141938580 divided by 28387716.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j - v = -0*v + 23, 4*v - 34 = 5*j. Let y(s) = s**2 - 9*s. Let b be y(6). Let f be b\/6*(-8)\/j. Let i(w) = -w**3 - 3*w**2 + 2*w - 3. What is i(f)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = l**2 + 55*l - 3. Let b(y) = -2*y**2 - 53*y + 4. Determine -3*b(m) - 4*i(m).\nAnswer: 2*m**2 - 61*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -1a86390 (base 11) to base 6\nAnswer: -203103035","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-4)\/3*(-3)\/2. Find the third derivative of s**6 - 2*s + 0*s**2 + 3*s**2 + m*s wrt s.\nAnswer: 120*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -3702 + 14809\/4. Let o(l) be the second derivative of -2*l**3 - 8*l - j*l**4 + 0 - 9\/2*l**2. Factor o(w).\nAnswer: -3*(w + 1)*(w + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*((sqrt(187) - ((sqrt(187) - -1*sqrt(187)*6) + sqrt(187) + sqrt(187))) + sqrt(187)))\/(-5*sqrt(11)*-2 - (sqrt(11) + sqrt(396) + -1*sqrt(396))) + -3.\nAnswer: -7*sqrt(17)\/3 - 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 2 - 1. Let b(h) be the first derivative of -5 - 7\/4*h**4 + 0*h**2 - 4*h + 0*h**3. Let g(p) = -p**3 - 1. What is n*b(u) - 6*g(u)?\nAnswer: -u**3 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -0.9*-2616745\nAnswer: 2355070.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -15541 times -919\nAnswer: 14282179","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = 7*a - 1. Let u(k) = 2*k - 25 + 25 + 0*k. Determine u(i(c)).\nAnswer: 14*c - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = 68*n. Let h(g) = -996*g. Give y(h(p)).\nAnswer: -67728*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 3575 a multiple of 143?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -191937963 divided by 2?\nAnswer: -191937963\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 33767?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*v + 16 = -8*m, m - 867 = -m - 3*v - 871 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -2 + 5897d?\nAnswer: 5897b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 4\/7 (b) 20 (c) 4\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = -o. Let c(v) = 3*v - 17197. Calculate y(c(g)).\nAnswer: -3*g + 17197","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3 - 10 - (-43 + 19 + -4 + 5)) + -15.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 5645 to the power of 1\/2, to the nearest integer?\nAnswer: 75","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*l**3 - 5*l**3 + 5*l**3)*(1 + 3 - 2) - 466*l + l**2 - 2*l**3 - 1 + 466*l in the form z*l + n*l**2 + q + j*l**3 and give q.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 3360016265?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -9 in -124, 3, -19?\nAnswer: -19","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000035351 to 7 decimal places.\nAnswer: -0.0000035","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 182 + 666. What is the units digit of k?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = 5*f - 41. Calculate b(9).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 270 a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = 31*u - 225. Let n be s(18). Is n less than or equal to 332?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 15\/4 + 76 + -78. Factor -s*r - 1\/2*r**3 + 2*r**2 + 1\/2 + 1\/4*r**5 - 1\/2*r**4.\nAnswer: (r - 1)**4*(r + 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1.8 in -72\/11, -34, 0.15, -0.5?\nAnswer: 0.15","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -2*(-2 - 9\/(-6)). Let v(h) = 1056*h - 1. Let q be v(i). Suppose -3*r = 2*r - q. Is r prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 2563 and 4?\nAnswer: 10252","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = -23*l - 193. Determine b(-9).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3 + 9 + 1 + -6?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2\/1165041 or -8?\nAnswer: -8","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(121) + 2*sqrt(121)*1)*-6)\/((sqrt(132) + (sqrt(132) + (sqrt(132) + (1*sqrt(132) - sqrt(132)))*5 - sqrt(132)))\/sqrt(12)))**2.\nAnswer: 99","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -25 - (63 - 29 - 67)?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 213109?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t**4 + 5*t**3 + 45*t**2 - 10*t**3 - t**3 + 68 - 12*t - 128 = 0. What is t?\nAnswer: -5, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 i when two letters picked without replacement from sitiwwiiiiis?\nAnswer: 7\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -369 + 769\/2. Suppose 0 = -0*s - 4*s - 48. Calculate the common denominator of p and 3\/s + (-470)\/24.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -18*q**5\/5 - 76*q**4\/5 - 88*q**3\/5 - 16*q**2\/5.\nAnswer: -2*q**2*(q + 2)**2*(9*q + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert -230301000322 (base 4) to base 15.\nAnswer: -106c0ed","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 37538842 is divided by 4486.\nAnswer: 4480","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9.395778 kilograms to micrograms.\nAnswer: 9395778000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1093*k = -5835 + 35346 for k.\nAnswer: 27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -6*x**5\/11 - 4602*x**4\/11 + 27828*x**3\/11.\nAnswer: -6*x**3*(x - 6)*(x + 773)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = -5625*u + 743. Is s(-34) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 89 = -5*l + d, -1407 = 84*l - 106*d + 102*d + 101 for l.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = 53*h**3 + 126*h**2 - 8*h + 4562. Let f(i) = 18*i**3 + 42*i**2 - 3*i + 1520. Let m(u) = 8*f(u) - 3*l(u). What is the first derivative of m(k) wrt k?\nAnswer: -45*k**2 - 84*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Is 27067993 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -11647237 (base 9) to base 5\nAnswer: -2424401442","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = 17*i + 8*i + 41660 - 41584. Calculate m(-6).\nAnswer: -74","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) be the first derivative of -16*x**6\/3 - 7*x**3\/3 - 27. Find the third derivative of n(s) wrt s.\nAnswer: -1920*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 242609327 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express 38*n - 13*n - 10*n - 13*n + 66*n**4 + 3 - 33*n**4 as a*n**3 + m*n**2 + r*n**4 + h*n + l and give r.\nAnswer: 33","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*z**2\/11 - 3492*z + 192010\/11.\nAnswer: 2*(z - 19201)*(z - 5)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert 74108.67 decades to months.\nAnswer: 8893040.4","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:02 PM and 1:02 PM?\nAnswer: 60","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 1056?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 30\/14 + 20\/(-10). Is 388\/3 less than z?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 793.65361 rounded to one dp?\nAnswer: 793.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 59\/4 of a millennium in years?\nAnswer: 14750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = 12*h + 26. Let y(b) = 38*b + 78. What is 7*s(o) - 2*y(o)?\nAnswer: 8*o + 26","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -151404 minus -55?\nAnswer: -151349","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 19018014 is divided by 8?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -16 + 10432111?\nAnswer: 10432062","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 140\/1330 + 25\/(-57). What is the closest to w in 49, 0.4, -0.4, 4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.23 + 0.07. What is the third smallest value in o, 2\/11, 2\/5?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 282\/19 - 4823\/380. Find the common denominator of c and -11\/25.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.3 in -0.4, -1\/138, 0.218, 1.1?\nAnswer: 0.218","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 34 - 37. Let b(r) = r**3 + 4*r**2 + 4*r + 2. Let l be b(v). Let n(z) = -142*z + 4. What is the tens digit of n(l)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 40*(-141)\/2350*(-75)\/(-21)*56\/16?\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/3? (a) -97 (b) 13.8663 (c) -3 (d) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 - -7 - (2 - -1)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z + 5*z + 64 = 0. Let o = 20 + z. Solve x + 5 = -o*x for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert e1e (base 16) to base 10.\nAnswer: 3614","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -435 + 507 = 24*m for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = 24*v**2. Suppose 0*m - m = 5*b + 60, -3*m + b - 196 = 0. Let p = 108 + m. Let g(x) = 88*x - 44*x - p*x. Calculate g(h(k)).\nAnswer: 24*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) be the third derivative of 2*o**5\/3 + 8*o**2 - o. Let s(c) = 34*c. Determine d(s(m)).\nAnswer: 46240*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 449309603 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 2, y: 1, n: 1, i: 1}. Give prob of picking 1 y and 1 i.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 4030?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*k**5 + 2*k**5 + 4*k**5 + (5*k**2 - 5*k**2 - k**2)*(0*k**3 + k**3 - 3*k**3) + (-k**4 + k + 13*k**4 - 9*k**4)*(1 - 1 - k).\nAnswer: k**5 - k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1312 or -107033?\nAnswer: -107033","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: (((-12)\/9)\/((-5)\/3*-1))\/((-114072)\/1940)\nAnswer: 2\/147","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 223 minutes after 10:29 PM?\nAnswer: 2:12 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-3 + sqrt(147) - sqrt(147))**2 + sqrt(147) + -1)*6.\nAnswer: 48 + 42*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y**4*y\/(y*y**(-1\/2)))\/(y*(y\/(y*y\/y**(2\/11)))\/y*y**(-2)))**(-3\/14) assuming y is positive.\nAnswer: y**(-69\/44)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 6 (b) 4\/9 (c) -1 (d) 2\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 349, -4888, -13617, -25838?\nAnswer: -41551","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1371502 + 249852 = -50*v. Is v prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (1 - 2) + -35 + 41. What is the third smallest value in -356\/5, u, 0.2?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c + 3210 = -102. Suppose -5*a + 221 = -c. Is a a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 36\/7 + 4\/(-28). Let x(t) = -t**3 - 11*t**2 - 13*t + 6. Let a be x(-10). Find the third derivative of 63*p**2 - 3*p**5 - a*p**2 + 2*p**k wrt p.\nAnswer: -60*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 758578*v**2 - 1517288*v**2 + 758475*v**2.\nAnswer: -235*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 20123\/(-7) + 4\/(-14). Let z = d + 22963\/8. Find the common denominator of z and -39\/20.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 15366.75 rounded to the nearest one thousand?\nAnswer: 15000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20*d = 25*d + 2*r - 60, 4*d + 6*r = 26. Solve d*v = 84*v for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 176*w**2 - 168496*w - 1 + 168496*w to the form m*w + f + h*w**2 and give h.\nAnswer: 176","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*n + 14*n + 30 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d = -5*v + 203455, 269*d - 273*d + 162764 = 2*v. Is d a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v + 4 = 4*v. Suppose 5*w + 70 = t, -5*t + v*w - 5*w + 324 = 0. Suppose 4*l + l = t. What is the tens digit of l?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 418 a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 0.086, -1, -1\/8, -0.017, -4 in decreasing order.\nAnswer: 0.086, 0, -0.017, -1\/8, -1, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.17 - -11.17. Let n = -288 + 300. Let p = n - t. Which is the nearest to p? (a) -3\/5 (b) 4 (c) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -42 + 42. What is the closest to -0.5 in 2\/9, g, 2?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((1092\/(-143))\/(-21))\/((-6)\/(-22)).\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = -3*c + 7. Let k be d(2). List the prime factors of 4\/(-8)*-226*k.\nAnswer: 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9469 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -13.4 and 0.4.\nAnswer: -5.36","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 1567456*v + 1231448 wrt v.\nAnswer: 1567456","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) be the second derivative of -13*q**3\/6 + 11*q**2 + 4*q + 16. What is the smallest common multiple of j(-7) and 1?\nAnswer: 113","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 36, 61, -4, 5 in decreasing order.\nAnswer: 61, 36, 5, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is -970 >= -618738\/637?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 12\/4*1\/(-3). Let r be (k\/(-2))\/(1\/(-10)). Let g(m) = m**2 + 2*m - 6. What is the units digit of g(r)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-3)\/((-24)\/92)*4. Let u = -26 + a. What is the remainder when 57 is divided by u?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*t**2 - 105*t = 0.\nAnswer: -21, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w = -0*w + 652. Suppose -5*u - 4*z + 233 = 0, -2*z + 260 = 350*u - 344*u. Calculate the remainder when w is divided by u.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = 1921*d**2 + 106*d - 323. Is x(3) a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 12 + 0 + -11 + (4 - (17 - -14))?\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence tyyt when four letters picked without replacement from {t: 1, y: 11}?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 469225, 938448, 1407671, 1876894, 2346117?\n\"Answer: 469223*z + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*s**3\/11 - 96*s**2\/11 - 4110*s\/11 + 4200\/11 = 0. Calculate s.\nAnswer: -20, 1, 35","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*b - 3*k - 0 + 9, 2*b - k = -11. Suppose -4*n + 5*v - 2*v = 2419, -2*n - 1220 = 2*v. Is b - -13 - 2*n a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 77073.53nm in centimeters?\nAnswer: 0.007707353","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find m, given that -2*m**3\/11 - 18*m**2\/11 + 960*m\/11 - 5800\/11 = 0.\nAnswer: -29, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 553*s - 554*s = -7*t - 34, 3*s = 5*t + 38 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -873176, -1746341, -2619506, -3492671?\nAnswer: -4365836","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 225972 is divided by 22578?\nAnswer: 192","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a - 3*t + 32 = -629, 5*t = 15. Let w = a - -509. What are the prime factors of w?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 18 and 31572.\nAnswer: 31572","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = 0*k - 20 + 2 - 2*k + k. Let l be z(-13). Is (373\/l)\/((-8)\/40) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 21 + -34. Let m = w + 16. Find the common denominator of 57\/7 and ((-2)\/m)\/(24\/260).\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9538 a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -4.66 + 5.2. Let y = x + -0.04. Let z = -4.7 - -5. Put z, y, 2\/15 in ascending order.\nAnswer: 2\/15, z, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = 28*u**2 - 13*u - 16. Let z(l) = 28*l**2 - 9*l - 15. Determine 2*x(g) - 3*z(g).\nAnswer: -28*g**2 + g + 13","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1339, 827, -17, -1193, -2701?\nAnswer: -4541","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 315 minutes before 12:39 AM?\nAnswer: 7:24 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zo when two letters picked without replacement from ovcoovozob.\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor m**2\/6 - 17805*m - 106832\/3.\nAnswer: (m - 106832)*(m + 2)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c**1)**(-46))**(-5\/12) assuming c is positive.\nAnswer: c**(115\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i + 3 = -1, 0 = -2*r + 2*i + 2322. Let b = r + -575687\/495. Is 0 less than b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -3, -1\/8, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 1\/(-1) - 6\/(-2). Suppose -w*l - 2*v = -18, -v + 6*v = -l + 29. Suppose -l*x + 50 = x. List the prime factors of x.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 5\/112728 and 47\/5203044?\nAnswer: 634771368","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 283994.\nAnswer: 2, 149, 953","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -3\/7, -2, 2\/3, -120?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 336085751?\nAnswer: 336085751","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 40532772 a multiple of 1996?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is (-9)\/((-396)\/(-176))*22\/(-8)?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = -o + 5. Let r be a(3). Let p(t) be the first derivative of -2\/21*t**3 - 2\/7*t + 2\/7*t**r - 2. Factor p(f).\nAnswer: -2*(f - 1)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: (3*26\/(-273))\/(12\/(-21))*(-356)\/(-4005)\nAnswer: 2\/45","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 156 + -156. Determine b, given that m*b**2 + 4\/3*b**3 + 2\/3*b**5 - 2*b**4 + 0*b + 0 = 0.\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (16\/10 + 0)\/(112\/(-280)).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2320979 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 2, -0.6, -1\/4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 382581531 to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2 - 2) + (33 - 24) + -1.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c - 17 = 1. Let s be 2\/1*9\/c. Let d(o) be the first derivative of o**4\/4 + 2*o**3\/3 - o**2\/2 + o + 2. Determine d(s).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1.5 - -2. Let y = 178.92 + -173.92. Put -0.26, s, -2\/13, y in descending order.\nAnswer: y, s, -2\/13, -0.26","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 1727283 and -0.05?\nAnswer: -86364.15","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m = 2*r - 6 - 12, 2*m = 2*r. Let f(v) = 0 + 0 + 9*v**2 - v**3 - 7*v + m. List the prime factors of f(8).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (6\/5)\/(1\/(-5)). Let w be (2\/t)\/((-5)\/(-3)). Let c = 144 - 143. What is the third smallest value in c, 3, w?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is s in 2*s**3\/15 + 872086*s**2\/15 - 290704*s\/5 - 3488352\/5 = 0?\nAnswer: -436044, -3, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = p**3 - p**2 - 3*p + 2. Let i be r(2). Let c be (3 + -1 - 2) + i. Suppose c = 4*n - 48 - 76. What is the tens digit of n?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 64 and 2.\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 8712 and 1848.\nAnswer: 60984","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*a + 18*a - 20 = 0. Suppose 4*g = -4*j + 4, 0 = -2*g + a*j + j + 7. Solve -4*k + 2*w - 1 = -21, 5*k - 16 = -g*w for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c = -4*c + 4*r + 66, -2*c + 36 = -4*r. Calculate the remainder when 125 is divided by c.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -818 + 1634 + 3*x**3 + 6*x**3 - 816.\nAnswer: 9*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q + h - 10164 = 0, -h = -3*q + q + 5076. What are the prime factors of q?\nAnswer: 2, 5, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of i**5 + 2271*i**4 - 4*i + 596 wrt i.\nAnswer: 20*i**3 + 27252*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s**(-23))**30)**14 assuming s is positive.\nAnswer: s**(-9660)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Determine v so that 24*v**2 + 196*v + 32 = 0.\nAnswer: -8, -1\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is t in 7*t**4\/6 - 34*t**3\/3 + 155*t**2\/6 + 25*t\/3 = 0?\nAnswer: -2\/7, 0, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 191*o = 201*o - 110 for o.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*g - a = 10, -3*g + 61*a + 8 = 62*a for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 36247 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -41870565 + 24670565. What is q rounded to the nearest one million?\nAnswer: -17000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3\/17 in -1\/4, -2, -1.12?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 47, 141, 413, 953, 1851, 3197?\nAnswer: 5081","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -526337, -526369, -526431, -526529, -526669, -526857, -527099, -527401?\nAnswer: -527769","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -c**3\/4 + 409*c**2 - 167281*c = 0 for c.\nAnswer: 0, 818","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 37*g - 33*g - 44. Suppose g - 215 = -4*m. What is the tens digit of m?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = -g**2 + 15*g - 3. Let u be q(12). Suppose -u*i = -39*i + 1368. What are the prime factors of i?\nAnswer: 2, 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -29 + 20. Let k be 3\/(r\/6) + 2. Let u(m) = k*m + 10*m + m - 6 - 6*m. Let g(f) = -11*f + 13. What is 4*g(x) + 9*u(x)?\nAnswer: x - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*b = 10 - 1, 2*k + 4*b = 12 for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in 42, -43, -0.4, -112?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 z and 2 x when four letters picked without replacement from {z: 5, n: 4, x: 2}.\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 2298958\/9 - 255440. Let m = 5 - 8. Let i(r) = r**3 - 4*r**2 + 2*r + 1. Let j be i(3). Which is the closest to 0.1? (a) j (b) g (c) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -h + 6*h + 20. Suppose 2*k = -13 + 7. Let w = k - h. Solve o = b, 2*b + 6 = 3*o + w for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 503.164681 rounded to 1 decimal place?\nAnswer: 503.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*f + f + 0*f)*(-17*f**3 - 26*f**3 + 18*f**3) in the form j*f + r + t*f**4 + g*f**2 + c*f**3 and give g.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*b + 3*t = -2*t + 39, -19*b - 3*b - 5*t = -34*b + 129 for b.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 172 minutes after 10:37 AM?\nAnswer: 1:29 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: (308\/(-126))\/22 - (-50)\/(-198)\nAnswer: -4\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d - n - 51 = -0*d, 5*d = -2*n + 80. Suppose 27 - 9 = c. Let q = c + d. What is the units digit of q?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = 35*w**2 - 2*w - 1. What is the tens digit of m(-2)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = -b**2 + 10*b - 24. Let g be f(6). Suppose -4*c - 36 = 5*n - g*c, 0 = -5*n + 5*c. Let i(t) = -t - 6. Calculate i(n).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 253 is divided by 52?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 184238866 is divided by 19455?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 20 and 2060?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 42\/36*-2*8\/28.\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = 64*q - 133 - 5*q - 4*q. What is the remainder when 60 is divided by u(3)?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 582906749 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*x + 11*x - 4*x)*(x - x - x) + (-2*x**2 + 6*x**2 - 2*x**2)*(2 + 6 - 5 + (6 - 3 - 2)*(0 + 3 - 2) - 1 - 6 - 3).\nAnswer: -21*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*m - 4 + 4)*(-881*m**2 + 434*m**2 + 434*m**2 - 5*m).\nAnswer: -52*m**3 - 20*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 24768*q - 64920*q - 39587*q - 43139*q.\nAnswer: -122878*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 11.9 - -0.1. Let b = j - 11.1. Let f = b + 3.1. Sort f, -0.3, -2\/5 in decreasing order.\nAnswer: f, -0.3, -2\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2087324 to the power of 1\/3, to the nearest integer?\nAnswer: 128","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 51 + -52. Let x(y) be the first derivative of 7*y**3 + y**2\/2 - 2. Is x(b) a multiple of 20?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = m**3 + 2*m**2 + m + 2. Let h(y) = -3*y**2 + y. Let g be h(1). Let x be z(g). Suppose w - 3*w - 9 = -3*b, -3*w - 6 = 3*b. Is x less than b?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 384324 a multiple of 61?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor -q**2 + 1442512*q - 1442511.\nAnswer: -(q - 1442511)*(q - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:47 PM and 3:27 AM?\nAnswer: 700","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 116, 228, 338, 446, 552, 656?\nAnswer: 758","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = 65*f + 1111. Determine v(-17).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 1674, -5, -1, -23.\nAnswer: -23, -5, -1, 3, 1674","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Work out -7365 * -1.263.\nAnswer: 9301.995","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 5 (base 10) to base 12\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c + 2*o - 1 = 17, 4*c + 13 = 3*o. What is the units digit of (-21)\/(-9) - c\/6?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (100*h**2 + 78*h**2 - 44*h**2)*(-6*h + 2*h + 2*h) - 3*h**3 + h**3 + 3*h**3.\nAnswer: -267*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((-2*sqrt(1216) - 6*sqrt(57)\/sqrt(3)) + sqrt(76)\/(sqrt(4) - -3*sqrt(196)))*6)**2.\nAnswer: 39892419\/121","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -32086\/9 - -3573. What is the common denominator of g and -9\/5?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = 3*y**2 - 2*y - 2. What is l(3)?\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 279366.93 months to millennia.\nAnswer: 23.2805775","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = w**3 - 5*w**2 + 2*w + 6. Suppose 4*x - 2*l - 40 = 0, -4*x + 9*l = 6*l - 42. Calculate the least common multiple of m(5) and x + (-1 + 0)*1\/(-1).\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = g**2 + 2*g - 36. Let q be o(5). Let k be (-132)\/(-33) + (1 + -1 - q). Solve 0 = 4*l - v + 18, k*l = 5*v - 1 - 14 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u - 8 = 4. Let l(z) = -z**2 - 10*z - 11. Suppose -4*p - 24 = -p. Let s be l(p). Solve u + 2 = -s*o for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 192902737 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 51*x**2 - 35 + 6 + 10 + 45 - 6 - 5 - 54*x**2.\nAnswer: -3*x**2 + 15","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -4\/9 in 0.2, -4, -2\/15, 2\/17, -1537?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = -y**3 - 2*y**2 + y + 5. Let k(q) = -q**3 - 6*q**2 + 11*q + 63. Let p be k(-6). Calculate r(p).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 48 minutes before 3:07 AM?\nAnswer: 2:19 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 58645899.\nAnswer: 3, 13, 251, 1997","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*w - 2025 - 1601 = 0. Calculate the remainder when w is divided by 87.\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 9213 times -3.3\nAnswer: -30402.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = 2*a**3 - 6*a**2 - 574*a + 3634. Give d(7).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor g**2 + 8*g + 15.\nAnswer: (g + 3)*(g + 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -2, 2\/5, -1, -2\/3, 0, -8\/101?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 38017 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Divide -4524 by 6.\nAnswer: -754","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 110011001 + -1111111001000?\nAnswer: -1111000101111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -5 + 10aca?\nAnswer: 10ac5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*y + 0*y - y)*(0*y**4 + 2*y**4 - 3*y**4) - 39*y**4 + 39*y**4 - 9*y**5.\nAnswer: -13*y**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = 2*c**2. Let i(m) = -m**3 + 6*m**2 + m - 4. Let v be i(6). Suppose 4*x - 4 = v*x. Let d(h) = 0 + h**2 - 2 + x. What is d(t(y))?\nAnswer: 4*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 28 = 5*v - v - 4*f, -3*f - 1 = v. Suppose v*m + 0 = 35. Let y = -3 + m. What is the remainder when 9 is divided by y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1223 (base 8) in base 7?\nAnswer: -1631","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence awe when three letters picked without replacement from {c: 4, a: 1, e: 1, h: 11, w: 2, d: 1}.\nAnswer: 1\/3420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 364643591 to the nearest integer?\nAnswer: 714","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-1)\/(-2))\/((-2)\/4). Let r(y) = -2*y + 3. Let o be 2*(-4)\/8 - -2. Let n(m) = -o - 6 + 8 - 2. Calculate f*r(j) - 2*n(j).\nAnswer: 2*j - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 415, 1089, 2031, 3241, 4719?\n\"Answer: 134*w**2 + 272*w + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 69*w**2 - 33*w**2 - 67*w - 38*w**2 to the form t + p*w**2 + a*w and give a.\nAnswer: -67","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1 + 83496508?\nAnswer: 83496508.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -166*b**2*i**2*j**2 - 310*b**2*j**2 + 8*b*j + 1858*i**2*j - 3*i*j**2 wrt b.\nAnswer: -332*i**2*j**2 - 620*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 3, 1107, 1 in decreasing order.\nAnswer: 1107, 4, 3, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 8 - -9. Let z = 17.7 - g. Let r = 0.6 - z. What is the nearest to r in 2\/19, -3\/4, 1\/4?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-6 - -18)\/(-3*(-4)\/(-12)).\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is (56\/84)\/((-8632)\/(-156))?\nAnswer: 1\/83","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -3*(3 + (-11)\/3). What is the third derivative of -3*c**3 - 4*c**3 - c**u + 3*c**3 - c**2 wrt c?\nAnswer: -24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (28 - 28 - a**2 - 3*a)*(a**2 - 3*a**2 + 0*a**2).\nAnswer: 2*a**4 + 6*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = -50*p**3 + 130*p**2 + 299*p + 69. Determine l(-2).\nAnswer: 391","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-21164)\/5772*138\/(-22)?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = -t**2 + t + 1. Let i(b) be the first derivative of 5*b**3\/3 - b**2 - b + 1. Let z be (-39)\/26*2 - 0\/(-2) - -4. Calculate z*i(q) + 3*s(q).\nAnswer: 2*q**2 + q + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 u when two letters picked without replacement from {w: 1, j: 2, u: 1}.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -21 + -3. Let q = c + 24.000064. Round q to five dps.\nAnswer: 0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = -i**3 - 16*i**2 + 44*i + 165. Determine g(-17).\nAnswer: -294","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -404*f + 25063 - 2132 = 1923 for f.\nAnswer: 52","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-5)\/(-30))\/(140\/32))\/(48\/(-56)).\nAnswer: -2\/45","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5829*b + 905*b + 231428 = 0 for b.\nAnswer: 47","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 453141822.\nAnswer: 2, 3, 7, 701, 15391","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 47451404 a multiple of 125?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-6)\/28*(-4)\/3. Let n = -1.95 + -0.05. Let v = -17.5 + 18. What is the third biggest value in y, v, n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 818196*p = 818185*p - 143 for p.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 + 1 + 203 + -204 - (0 + -6).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 43 and 602?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 69875117 to the nearest integer?\nAnswer: 412","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = -b**3 - 3*b**2 - 4. Let j be i(-3). Calculate the least common multiple of 6 and (8\/(-4))\/(j\/18).\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -6043 - -164?\nAnswer: -5a9b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 4\/(-23920)*-1882 - 16\/40 and 40\/31?\nAnswer: 18538","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -114143142 (base 5) in base 8?\nAnswer: -2031321","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1 + 4. Suppose 20 = x*a - a. Suppose 5 = a*v - 20. Let l(z) = -z**2 + 5*z - 2. Determine l(v).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-108)\/162 + 8\/3?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4*f + 1720 + f - 3437 + 340*f**2 + 1717 to u + d*f**2 + s*f and give d.\nAnswer: 340","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 65470 and 18?\nAnswer: 589230","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 32450, 20 in decreasing order.\nAnswer: 32450, 20, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 7176043507 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = f + 5 + 2 - 3 - 2. Let l(u) = 5*u + 10. Calculate 2*l(c) - 11*v(c).\nAnswer: -c - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7126290.\nAnswer: 2, 3, 5, 79181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 p when three letters picked without replacement from {p: 3, w: 3}?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 9\/5*52\/1170.\nAnswer: 2\/25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 24759464 divided by -7058\nAnswer: -3508","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1468202626?\nAnswer: 2, 11, 1483, 4091","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 907573291 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(sqrt(612)\/sqrt(432))\/(sqrt(108)*-1))**2.\nAnswer: 17\/36","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = s. Let n be p(0). Let m = 25483\/469 - 3650\/67. Which is smaller: m or n?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:55 AM and 8:15 PM?\nAnswer: 560","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -13 - -8a?\nAnswer: 77","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*f**4\/9 + 10*f**3\/3 + 16*f**2\/9 - 56*f\/3.\nAnswer: 2*f*(f - 2)*(f + 3)*(f + 14)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2426 is divided by 808?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 3452 - 3451.7. Put h, 0.4, 12 in decreasing order.\nAnswer: 12, 0.4, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -4\/5083 + 696811\/559130. Calculate the common denominator of -49\/90 and f.\nAnswer: 990","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = -9*u**2 + 4*u - 14. Let s(h) be the second derivative of 7*h**4\/12 - 5*h**3\/6 + 13*h**2\/2 + 3*h - 7. Let n(b) = 4*g(b) + 5*s(b). Determine n(-11).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 126 and 56.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = -l**2 - 67*l - 191. Let s be y(-3). Let h(t) be the first derivative of -1\/12*t**6 - 2\/3*t**3 + 0*t**4 - s + 0*t**2 + 3\/10*t**5 + 0*t. Factor h(n).\nAnswer: -n**2*(n - 2)**2*(n + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 14, -4, -5, 5\/3, -12 in ascending order.\nAnswer: -12, -5, -4, 5\/3, 14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 7 - (-56 - -27) - 28.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -203, 0.1, -23.9?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-5 - -8) + (-4 - -3). Suppose j*x + w = 1, -5*w + 6 = -x + 1. Solve -5 = 5*f - 5*m, x = -2*f - 0*m + m - 4 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 37 divided by 65\nAnswer: 37\/65","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -5 + 14 - (10 - (4 + 0))?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: ((-20)\/(-35))\/((-36)\/42)*12\/(-32)\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*k - 3*k + k)*(-2 + 1 + 3)*(1 - 1 - 2).\nAnswer: -12*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = -10*t - 43. Let h(a) = 9*a + 39. Let o(j) = -6*h(j) - 5*x(j). What is o(-8)?\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o**2 - 1802523*o + 1802524 = 0. Calculate o.\nAnswer: -1802524, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -115*i = -117*i - 5*k - 4941985, i + 2471015 = 5*k. Round i to the nearest 1000000.\nAnswer: -2000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -w**3 + 481*w**2 + 1470*w - 8712.\nAnswer: -(w - 484)*(w - 3)*(w + 6)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 13044808 a multiple of 73?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -0.2567 times -0.4\nAnswer: 0.10268","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify z**(6\/11)*z*z**(-14)*z*z**(-7\/3)\/z**24 assuming z is positive.\nAnswer: z**(-1247\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*u - 4*u + 2*u + (u + 2*u - 6*u)*(0 + 0 - 2))*(u + u + 3*u)*(4*u**2 - 76*u**2 + 25*u**2).\nAnswer: -940*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -113983, -228052, -342203, -456430, -570727?\n\"Answer: w**3 - 47*w**2 - 113935*w - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 18805 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 44 and 187.\nAnswer: 748","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t*t*t\/(t*(t*t**(-8))\/t)*t)\/t**(-3\/11))**(4\/31)\/(t**(5\/3)*t*t\/(t**0*t*t)*(t*t**(2\/7)\/t)**(2\/5)) assuming t is positive.\nAnswer: t**(-377\/1155)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 3573, 1902, -2637, -11478, -26055, -47802, -78153, -118542?\n\"Answer: -239*d**3 + 2*d + 3810","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -38 - -151\/4. What is the common denominator of -4*(-3)\/(-42) + (-14675)\/8050 and x?\nAnswer: 92","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 47 - 1 - ((-1)\/(-12) + 333125\/(-19500)).\nAnswer: 63","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 476 in -17, -5, 28?\nAnswer: 28","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = 47*i**2 + 7*i - 71. Is j(7) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 13999125, 27998248, 41997371?\nAnswer: 55996494","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 28090536.123 from -1.6.\nAnswer: -28090537.723","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = -v**3 - 4*v**2 - 7*v - 130. Suppose g = 2*b + 8, -6*g + 3*b = 15 - 0. Calculate p(g).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-5)\/(-2) - 6\/(-4). Suppose q + q - 17 = -f, 5*f - 25 = 0. Suppose -l + q = -u. What is the greatest common factor of 90 and l?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = -4*b**2 - b + 12. Determine d(-2).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h - 69 = 91. Suppose 0 = 3*r - 2*r - 5*c - 4, -5*r = 5*c + h. Let y(i) = i**3 + 7*i**2 + 4*i - 8. Give y(r).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 84556793 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -280 (base 9) in base 12?\nAnswer: -176","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 9\/8? (a) 4.9 (b) 3\/7 (c) 0 (d) 2\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -3986, -3964, -3948, -3938, -3934?\n\"Answer: -3*c**2 + 31*c - 4014","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-7)\/(-22) - 1\/2. Let f = -4 + 3.8. Let u be 6\/21 - (-32)\/(-14). Which is the nearest to 1\/3? (a) w (b) f (c) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -983\/8 - -123. Let t = -3.317 - -3.017. Sort o, -0.4, t in increasing order.\nAnswer: -0.4, t, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -30676, -29870, -29062, -28252?\nAnswer: -27440","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 48370, 48383, 48396?\n\"Answer: 13*b + 48357","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 495 - 336. Differentiate 74 + 27*p**4 + 70 - o wrt p.\nAnswer: 108*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 138 - 137. Suppose -1 = y - 11. What is the common denominator of 97\/4 and 1 - q - y\/14?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 70749 to the nearest integer?\nAnswer: 266","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:45 PM and 2:36 PM?\nAnswer: 51","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence iee when three letters picked without replacement from aejmmemmeeieaaea?\nAnswer: 1\/112","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -2114 (base 9) in base 15?\nAnswer: -6d7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2848.\nAnswer: 2, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -4 (b) 2 (c) -0.2 (d) -9 (e) 2\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -78834460, -78834459, -78834458?\n\"Answer: k - 78834461","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 4199 take away 43239?\nAnswer: -39040","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 103 and 0.105?\nAnswer: 10.815","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q*q*q\/q**(1\/7))\/q*q**(8\/3) assuming q is positive.\nAnswer: q**(95\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -58\/27, 4, 9, -0.073, 0.2?\nAnswer: -0.073","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -60 - 0.57\nAnswer: -60.57","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = 145*i + 1010. Suppose 4*g + 31 = -s, -4*g - 45 = -21. What is m(s)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -7*h + 145*h**2 + 10*h + 115*h**5 + 6*h - 9*h wrt h.\nAnswer: 6900*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 30\/16*600\/(-3000).\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 133\/4974 and 45\/1448.\nAnswer: 3601176","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 8.53 - 15.43. Let s = 4 + -11. Let t = i - s. Which is smaller: 20 or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = -h**3 + 2*h**2 - 8*h + 2. Let n(p) = -2*p**3 + 2*p**2 - 10*p + 3. Let u(k) = -3*n(k) + 4*x(k). Calculate u(2).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 2 + 10 - 3*y - 8 in the form x + r*y and give r.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) be the second derivative of l**6\/150 - 47*l**5\/50 + 671*l**4\/20 + 4606*l**3\/15 + 4802*l**2\/5 - 11*l + 18. Factor t(i).\nAnswer: (i - 49)**2*(i + 2)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r + 10*z = 7*z + 204, z - 82 = 2*r. Which is smaller: -37 or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1280, 1342, 1512, 1844, 2392, 3210, 4352, 5872?\nAnswer: 7824","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 465952379?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 137 (base 13) in base 2?\nAnswer: 11010111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0.13, -441, -5\/9, 1, 3, 3\/11, -5?\nAnswer: -5\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.03 rounded to two dps?\nAnswer: 0.03","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put 18, 5, 0, 2, -8, 7 in descending order.\nAnswer: 18, 7, 5, 2, 0, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 132807?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 x and 2 u when four letters picked without replacement from xxyuu?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + (2*(sqrt(33)\/sqrt(3) + 1) - (-3 + (sqrt(11) - (2 + sqrt(704) - sqrt(704)))**2)).\nAnswer: -15 + 6*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) be the second derivative of -2*m**5\/5 - 5*m**2\/2 - 8*m. What is the derivative of d(p) wrt p?\nAnswer: -24*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -86, -72, 15, 14 in ascending order.\nAnswer: -86, -72, 14, 15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {b: 1, w: 2, g: 2, n: 2, f: 1, h: 1}. Give prob of picking 2 n and 2 g.\nAnswer: 1\/126","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-180)\/165 + (-202)\/(-165). Which is the third smallest value? (a) 0.2 (b) -4\/7 (c) -8 (d) 23 (e) m\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2421 (base 10) in base 2?\nAnswer: -100101110101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is seven eighths of a litre in millilitres?\nAnswer: 875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -26 = -o + 33. Suppose 0 = -0*m + 5*m. Suppose o = -m*i + i. List the prime factors of i.\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 - -3 - (3 + -3)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 19 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express (23 - 174 - 8*h**2 + 104)*(-4 + 5 + 0*h + 2*h) in the form u*h**3 + v*h + n*h**2 + k and give v.\nAnswer: -94","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 divided by -5.\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21*b + 41*b - 305970 = 0. List the prime factors of b.\nAnswer: 3, 5, 7, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 107\/5440 and -123\/2560.\nAnswer: 43520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find x, given that x**5\/10 - 5741*x**4\/5 - 5742*x**3\/5 + 5741*x**2\/5 + 11483*x\/10 = 0.\nAnswer: -1, 0, 1, 11483","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 4200198 and 1083777.\nAnswer: 4497","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -71 - 29 = -4*y. Let c = 1019 - 1006. Suppose -c*o + 443 = 274. Calculate the remainder when y is divided by o.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 10 + 13?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -120 + 1886 = 215*y - 1674 for y.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 - (5 + -8) - (5 - (3 + 5))?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 16 - (23\/161)\/(9\/(-315))\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in -5, 0.002, -17\/13, 0.24?\nAnswer: 0.002","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 3731*x + 101*x**4 + 46 - 3731*x + 65 wrt x?\nAnswer: 404*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 k and 1 f when three letters picked without replacement from {k: 4, d: 4, f: 3, a: 2, r: 1}?\nAnswer: 9\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 560 minutes after 3:49 AM?\nAnswer: 1:09 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1\/(-13))\/((-32716)\/1063270).\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5285366 divided by -2.\nAnswer: 2642683","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + sqrt(63) + 2 + 0)**2.\nAnswer: 24*sqrt(7) + 79","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 22 - 17. Put i, 3, 1 in decreasing order.\nAnswer: i, 3, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1590115486 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x + 2*l = 18, -2*l + 3*l - 14 = -3*x. Suppose 3*k - 4*g + 106 = x*k, 5*g = 2*k - 106. List the prime factors of k.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.4 + -0.2. Suppose o - 5*j = 1, -2 = -2*o + 126*j - 129*j. Which is the closest to f? (a) -0.1 (b) -7 (c) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1276919 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 29 - 8 = 3*a. What is the units digit of 220\/a + 48\/84?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) be the second derivative of -x**3\/3 - x**2\/2 - 5*x. Let s be i(1). Let u be 15\/(s + (-20)\/(-6)). Calculate the greatest common factor of u and 15.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -5\/1215326 and -22\/323225?\nAnswer: 30383150","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 32879 is divided by 938?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0 (b) 0.3 (c) -132 (d) 1 (e) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -1, -0.5, 0.1767, -929, 0.7, 2?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 40.6973*-2401.\nAnswer: -97714.2173","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -342, -680, -1018, -1356, -1694?\n\"Answer: -338*r - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = -y - 0. Let m(z) = z**3 - 2*z**2 + 5*z - 6. Let g = -157 - -159. Let c be m(g). Solve 5 = -r + 5*i + 6, 11 = -c*r + y*i for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*w + 21 = -19. Suppose w*r = -3*g + 3, 0 = -4*g + 8 - 20. Let s(q) = -r*q - 7*q + 3*q + 11. Let h(o) = -3*o + 5. Give -9*h(v) + 4*s(v).\nAnswer: -v - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 3868 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2072067 is divided by 18?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -315025299921 plus -21.8?\nAnswer: -315025299942.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 2646, 2696, 2746, 2790, 2822?\n\"Answer: -a**3 + 6*a**2 + 39*a + 2602","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from pqpqipccpqxxiv. Give prob of sequence vxi.\nAnswer: 1\/546","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(12)\/((sqrt(6) - sqrt(6)*-1)*-1).\nAnswer: -sqrt(2)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 642?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 27*w = 58*w + 310 for w.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -1 + -1011?\nAnswer: -1012","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is (-24)\/(-14) + (-114)\/(-39102)*31997?\nAnswer: 95","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9963445*k - 9963445*k - 24534*k**3 + 24608*k**3.\nAnswer: 74*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i + 19 = -1. Suppose y - 3*y - 8 = 0, -2*a + i = -4*y. Let l = 17 - a. What is the units digit of l?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 f and 1 w when three letters picked without replacement from {x: 1, q: 2, v: 1, f: 4, w: 2, i: 2}?\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 309633629 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v - 3*t - 111 = 0, -171 = -5*v - t - 48. What is the units digit of v?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 249030 a multiple of 26?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 280*u - 25878 = -2358 for u.\nAnswer: 84","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 110889\/77 - 15846\/11. Put d, 2\/3, -14, -8 in ascending order.\nAnswer: -14, -8, d, 2\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 7\/42 - (-28)\/48. What is the nearest to n in -3, -0.3, -0.9?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 12\/109? (a) -0.3 (b) -0.69 (c) 185 (d) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -416 + 416. Suppose 3*h + 2*h + 3*b - 1808 = n, b + 1804 = 5*h. List the prime factors of h.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = 2*k**2 + 13*k - 16. Let p(f) = -f**2 - f - 1. Let b(t) = c(t) + 3*p(t). Let m be b(4). Solve -d - 5 = -m*n, -2*n + 10 = -n - 2*d for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -14 - -4. Let s = d + 75. Is s composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 49034 a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 69 + -38. Let m = -12 + 20. Calculate the remainder when v is divided by m.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-73 - -2)\/(3 - 4). Suppose -5*l + 74 = -p. List the prime factors of l.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -669.456 and 44.5?\nAnswer: -29790.792","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {j: 2, p: 4, g: 1}. What is prob of picking 2 j and 2 p?\nAnswer: 6\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 192*u**3 + 48*u**3 + 11*u**3 - 14*u**3 - 17*u**3.\nAnswer: 220*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3433?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c = -m + 26, -5*m + 3*c = -3*m - 27. Let x(l) = 6*l + 14. Calculate the remainder when x(m) is divided by 26.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x + 2 + 3 = 0. Let v = 7 - 3. Suppose b - 4*d - 1 - 1 = 0, -8 = -v*b + 4*d. Is b < x?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in seven quarters of a century?\nAnswer: 175","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 2255 to the power of 1\/3, to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1487.\nAnswer: 1487","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1468928?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.08 + -0.12. Let o = -0.3 + k. Which is the smallest value? (a) -2 (b) o (c) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**7\/(p\/p**3))\/(p**(1\/2)\/(p\/p**0))*(p\/(p\/(p*p*p**(-7)))*p**(2\/3))\/((p*p**(-3)*p)\/((p*p\/(((p\/(p**(-1\/3)*p)*p)\/p)\/p*p))\/p)) assuming p is positive.\nAnswer: p**(41\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (195072\/(-56) - (-8)\/(-14))*-7. Suppose -57*x - 10*x = -q. Is 13 a factor of x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-34)\/6 + (-2)\/(-3). Let y be (z\/(-2))\/5*4. Suppose -y*b - 1 = -2*v - 9, 3*b = -5*v + 28. Which is greater: b or 5?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = -245616280*h. Let t(w) = -w**2. Determine t(c(b)).\nAnswer: -60327357001038400*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/15? (a) -8 (b) 1 (c) -5 (d) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -319011055 + 456853213. Suppose 4*l - k = 123757842. Suppose -60*t + 59*t = -l. Round t to the nearest one million.\nAnswer: 65000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 5, 4, -338?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = -21*r + 443. Calculate the smallest common multiple of 75 and v(8).\nAnswer: 825","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = o**3 - 4*o**2 + 5*o - 1. Let f be b(4). Let j(h) = 212*h - 633. Let i be j(3). Solve 3*n + 0*c + c = 1, 4*c - f = i*n for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 22982 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is (-19)\/((-1064)\/576)*287 a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0.078 (b) 0.2 (c) 2\/15 (d) -30 (e) 4 (f) 2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 4464.6 + -4465.1. Let w = -0.2 - -0.7. What is the nearest to -0.8 in w, b, 1?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 56 + (-83 - 1) - (-42 - -1)?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 62.04276l in millilitres?\nAnswer: 62042.76","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 4, -7, -40, -1, 14 in ascending order.\nAnswer: -40, -7, -1, 4, 5, 14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from bfbfnnwbffxnnk. What is prob of picking 2 f and 2 n?\nAnswer: 36\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = -4*r**2 + 5*r - 3. Suppose 0 = 5*u - 5*n + 2*n - 3, -4*u = -3*n. What is o(u)?\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 159, 171, 183, 195, 207?\nAnswer: 219","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-1)\/(-2) - (-99)\/6. Let t = 31 - f. Suppose -2*z = -276 + 24. Calculate the greatest common divisor of z and t.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = 12*t - 4*t + 9*t + 16. Let z be b(4). Suppose 34*l - 30*l - z = 0. Calculate the remainder when l is divided by 14.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = -d**3 - 11*d**2 - 12*d - 15. Let s be l(-10). Suppose 2*z = s + 23. Solve -z = 4*r + 2 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 28286774 to the power of 1\/2, to the nearest integer?\nAnswer: 5319","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = o**2 - 7*o + 14. Suppose 3*u + 3 = 6, 3*u - 168 = 5*v. Let h be (-2)\/(-4) + v\/(-6). List the prime factors of d(h).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -196.51528 rounded to 2 decimal places?\nAnswer: -196.52","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put 1065, 2146, -15 in descending order.\nAnswer: 2146, 1065, -15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s*(s\/s**(1\/5))\/s*s)\/(s\/((s*s\/(s\/(s*s**(1\/4)*s*s))*s*s)\/s*s))*(s*s**2)\/s**(-1\/3))**(-2) assuming s is positive.\nAnswer: s**(-623\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 6 divided by -16900894\nAnswer: -3\/8450447","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 693 minutes after 10:07 AM?\nAnswer: 9:40 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -19 divided by -1540?\nAnswer: 19\/1540","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 143\/315 + -12\/35. Let o = y + 5\/9. Suppose 81*m - 288 = 177*m. Which is the second smallest value? (a) m (b) 0 (c) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (164 - 82 - 68)*(0*t - 2*t + 3*t)*(-2 + 5 + 1).\nAnswer: 56*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = b - 22. Is 12 a factor of b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 a, 1 i, and 1 b when three letters picked without replacement from {a: 1, r: 1, k: 2, x: 2, b: 1, i: 1}?\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6.04, -4, -1 in decreasing order.\nAnswer: -1, -4, -6.04","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3 + 3 + 7*v.\nAnswer: 7*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 375802703 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = p**3 + 25*p**2 + 14*p + 28. What is the tens digit of j(-19)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 5387, 5377, 5337, 5249, 5095, 4857, 4517, 4057?\nAnswer: 3459","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a + 8*k + 50353 = 5*k, 62939 = -5*a - 3*k. Let f = a - -19053. Is f prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i - 4 = 0, i - 2 = -5*m + 2. Let b(u) = -u + 1. Let j be b(-3). Solve 2*z - j*k + m + 3 = 0, z + 9 = -5*k for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -176, 24.\nAnswer: -176, -2, 24","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = w**2 - w. Suppose 2*k = -7*k + 18. Let r(u) = 22*u - u**k - 19*u - 4*u**2 + 2*u**2. Give 4*i(q) + 2*r(q).\nAnswer: -2*q**2 + 2*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -9 - -3 - -7 - (160 - (-8 - -6)) - -5?\nAnswer: -156","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 5 + 2)*(0 + 1 - 3)*(4*s - 3*s + s) + 39*s - 44*s - 25*s.\nAnswer: -54*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 13288 and 528.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1144363 rounded to 3 decimal places?\nAnswer: -0.114","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -99\/4311176 and 83\/304.\nAnswer: 8622352","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 323 minutes after 7:00 AM?\nAnswer: 12:23 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 50 - 4*v**2 - 13 + 7 - 130*v.\nAnswer: -4*v**2 - 130*v + 44","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = -4*n**2 - n + 19. Let f(w) be the second derivative of -w**4\/6 - w**3\/6 + 5*w**2 + 2*w + 58. Give 5*f(u) - 3*i(u).\nAnswer: 2*u**2 - 2*u - 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 23 - 23 - (3 + 4 + -2)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1260 divided by -4.\nAnswer: -315","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -34*n**2 - 26*n**2 - 95*n**2.\nAnswer: -155*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*g = 23932 + 45008. What is the tens digit of g?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z - z = 0. Let w = 6.6 - 6. Let r = 0.2 - w. Which is the nearest to -0.1? (a) r (b) 1\/4 (c) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -6*h**3*p - 462*h**3 + h**2*p + h**2 - 853*h - 3 wrt h.\nAnswer: -36*p - 2772","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -4 + -3e?\nAnswer: -43","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n - 127 = -s, -s - 4*n = -144 - 11. Suppose -76*m + 47*m + 64 = -226. Calculate the remainder when s is divided by m.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + -3*(2*sqrt(864) - sqrt(864))\/sqrt(8))**2 - ((sqrt(12)\/(sqrt(4)*-3 - sqrt(4)) - (sqrt(108) + -2)) + -4)**2.\nAnswer: -25*sqrt(3) + 13613\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 2345810 and 290?\nAnswer: 290","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 + -5 + (23 + -13 - -3) + -6 + 2?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = b**2. Let k(s) = -28251*s - 1. What is j(k(q))?\nAnswer: 798119001*q**2 + 56502*q + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 1162, 2309, 3452, 4591?\n\"Answer: -2*z**2 + 1153*z + 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 20 minutes after 1:17 AM?\nAnswer: 1:37 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round -8915000 to the nearest one million.\nAnswer: -9000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -1264 rounded to the nearest 1000?\nAnswer: -1000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) be the second derivative of 9*x**2 - 7*x + 1\/10*x**6 + 0 + 0*x**3 + 0*x**4 + 0*x**5. Differentiate q(f) wrt f.\nAnswer: 12*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = -l - 7. Let k be ((-9)\/(-4))\/((-4)\/16). Let p be u(k). Determine w, given that -w - 2*w**3 + 2*w + 4*w**p - 3*w = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -115 - -116. Is -8\/17 != r?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = -6*u**2 + 73*u - 55. Let r be m(11). Solve -2*t + t + r = -4*o, t + 4*o = -18 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 18421048361 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 23.8283760102943 + 15722441.1316150897057. Let i = t + -15722467. Let j = 2.04 + i. What is j rounded to 6 decimal places?\nAnswer: -0.000009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = -624*k + 1000. Calculate q(2).\nAnswer: -248","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.08 - -2.08. Which is the smallest value? (a) -2 (b) -1\/5 (c) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) be the third derivative of v**4\/12 - 2*v**2. Let i = -25 - -35. Let n(m) = m + 1. Let b(c) = -5*c - 10. Let o(t) = i*n(t) + b(t). Determine o(l(d)).\nAnswer: 10*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -1964172+-58\nAnswer: -1964230","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g - 2*i + 43 = 0, 31 = 3*g - 22*i + 18*i. Suppose -g*p = -12*p + 39. Calculate the remainder when 36 is divided by p.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-2)\/13 + (-114)\/(-234). Let o(v) be the first derivative of 2 + 2*v**2 + g*v**3 + 0*v. Give o(-5).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 2\/269, 5463, -1?\nAnswer: 2\/269","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = -2*f**2 - 4. Let m(p) = 2*p**2 + 3. Let n(x) = 5*m(x) + 4*u(x). Let s(q) = -3*q - 32. Let z be s(-11). Let y be n(z). Which is smaller: 1\/4 or y?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -2f70 - 4?\nAnswer: -2f74","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Do 79 and 185 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -12007*q**4*r*v + q*r*v + q*r - 46228*r*v with respect to q.\nAnswer: -48028*q**3*r*v + r*v + r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 t, 1 g, and 1 j when three letters picked without replacement from kgjkkkkvt.\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = 29*s**3 + 11*s**2 - 11*s - 5. Let z(f) = -6*f**3 - 2*f**2 + 2*f + 1. Suppose 18563*k = 18580*k - 187. Calculate k*z(l) + 2*b(l).\nAnswer: -8*l**3 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 188.54 + 766.16. Let r = s + -891. What is r rounded to the nearest ten?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22*k - 9*k = 39. Suppose z + 3 - 17 = -k*w, 3*w + 3*z - 18 = 0. Solve 0 = 4*p + 2*v - 1 - 7, 0 = w*v + 16 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*m**2\/7 + 30*m - 432\/7 = 0. What is m?\nAnswer: -72, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 50912913?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = 3*h, -h + 10 = 4*a - 8. Suppose -2*f = -7*f + a, -2*p - 3*f + 97 = 0. Is p even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/4 in 0.4, 0.5, 1\/7?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (49*m - 40*m + 15*m)*(-2*m**3 + 3 - 3).\nAnswer: -48*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 d and 2 t when three letters picked without replacement from {i: 1, d: 1, b: 1, t: 5, k: 5, g: 1}.\nAnswer: 5\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is -2751 less than or equal to -96?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1075 and 25?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 690\/14*205198\/(-87942).\nAnswer: -115","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1730283.\nAnswer: 3, 673, 857","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/7? (a) 111 (b) -3 (c) 6 (d) -2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = -j**2 + 6*j - 1. Let w(k) be the first derivative of -2*k**3\/3 + 9*k**2\/2 - 2*k + 128. What is -8*f(h) + 5*w(h)?\nAnswer: -2*h**2 - 3*h - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -83994718, -83994716, -83994714, -83994712?\n\"Answer: 2*j - 83994720","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*p**5 + 507*p**4 + 1917*p**3 - 19359*p**2 + 7209*p + 58320 = 0 for p.\nAnswer: -80, -9, -3\/2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -61\/124 + -1\/124. Let n = 0.1 - 0.1. Which is the nearest to n? (a) 2\/5 (b) f (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*u**3 + u**3 + 8*u**3 + (3 - 7 + 2)*(-4*u**3 - u**3 + 3*u**3) - 4*u**3 + 2*u**3 + u**3 - 6 - 7*u**3 + 6.\nAnswer: u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -23.5 - -25. Let h = 1.49863 - d. What is h rounded to four dps?\nAnswer: -0.0014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = -55*i + 10. Let t be x(-7). Let u be 22\/6 - 2\/(-6). Suppose 3*v + t = u*v. Is v prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-d**2 + d**2 + 3*d**2)*(0 + 0 - 3*d)*(1 - 5 + 1).\nAnswer: 27*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -47656 - -47596. Let h = 11 - 7. Which is the nearest to v? (a) h (b) 1\/4 (c) -3 (d) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*i + 4*j - 502, 0*i + 2*i + 502 = -4*j. Suppose -7*x + 9*x + 1260 = 0. Let r = i - x. Is r prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 23861641 is divided by 18077?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -5 - -13. Suppose 2*q = 32 + w. Suppose i + 3*i - q = 0. Solve g - 2 = 0, i*r + g + 3*g = -2 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) be the first derivative of 297*u**5\/5 + 2422*u**2 - 4886. What is the second derivative of n(j) wrt j?\nAnswer: 3564*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 734005 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -58863*j**2*s**5 - 522*j**2*s**2 - 119*j**2*s - 76*j**2 - j*s + 15*j + 13 wrt s?\nAnswer: -1177260*j**2*s**3 - 1044*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -26 (base 10) in base 4?\nAnswer: -122","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in -9\/14, -1\/3002, -3?\nAnswer: -1\/3002","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) be the first derivative of -5*s**6\/6 + 18*s**5 - 130*s**4 + 1360*s**3\/3 - 840*s**2 + 800*s + 254. Let i(r) = 0. Calculate r.\nAnswer: 2, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1781153 a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = 2*v**2 - 2*v. Calculate the remainder when 52\/6*(-6 - (19 + -37)) is divided by l(-2).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-498)\/4150)\/(0 + (-1)\/5).\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -3 (base 5) to base 13\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -14 (base 5) in base 2?\nAnswer: -1001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*a - 5 - 39. Suppose -4*r = 4*l - l + 32, 3*r = 4*l + 1. Let k = a + l. What is the tens digit of k?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*d + 6*d - d + 9*d**3.\nAnswer: 9*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = -32*t**4 + 3*t**3 - 5. Let d(i) = 32*i**4 - 4*i**3 + 4. Let m(w) = -3*d(w) - 4*n(w). What is the derivative of m(s) wrt s?\nAnswer: 128*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -4058, -16239, -36540, -64961?\n\"Answer: -4060*g**2 - g + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*o = 28 + 98. Calculate the greatest common divisor of 238 and o.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 6366 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 4\/(2\/(2*18)). Suppose -a = v - 5*v. Let p = 17 - 7. Calculate the remainder when v is divided by p.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 2 and 165374.\nAnswer: 165374","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w\/(w*w**(2\/9))*w)**15\/(w*w*(w**1\/w)\/w)**5*(w**1)**(2\/59)\/(w**(2\/5))**(-32) assuming w is positive.\nAnswer: w**(17258\/885)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.6 - 0.2. Let w = -0.3 - -0.8. Sort w, h, 3\/2 in increasing order.\nAnswer: h, w, 3\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from fddffddffdddd. What is prob of picking 4 d?\nAnswer: 14\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + (-2 + sqrt(175)*-3 - (-4 + 0 + sqrt(175))) + -5)**2.\nAnswer: 40*sqrt(7) + 2801","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 18d644 + 1c?\nAnswer: 18d660","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*k + 34 = -2*x, 515*k + 65 = -5*x + 520*k for x.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ddcjcdhhcjcdjcdcddcc. What is prob of picking 1 c and 1 d?\nAnswer: 28\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand 9*r**4 + 13*r**4 - 2*r**4 + (r**4 - 4*r**4 + r**4)*(18 + 2 + 2).\nAnswer: -24*r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 3\/196 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 21 = -4*h + 2*m + 29, -12 = 3*m for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 smaller than -99\/361?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1010110001011 + 11?\nAnswer: 1010110001110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11 = 4*f - 3*f. Let c(k) = -k**3 + 11*k**2 + k - 2. Let n be c(f). Let g = n - -2. Is 7 a factor of g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-542)\/240 + 3 + 3. Let u = -1\/120 - j. Find the common denominator of u and 95\/14.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 666626 to the power of 1\/10, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -2\/13, 32, -2\/21, 0.03, 28, 0.2, 2?\nAnswer: 28","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 11 + -11 + 0 + 3\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) be the first derivative of 12 + 0*p**2 + 0*p - 10\/3*p**3 + 5\/4*p**4. What is r in u(r) = 0?\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -675 - 8*x**3 - 546 + 359 - 120 + 9*x**3.\nAnswer: x**3 - 982","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (0 + 1)*(-2)\/(-4). Let c be 216\/90 + (6 - 2)\/(-2). Sort a, c, -1.\nAnswer: -1, c, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 17936 and 15216568.\nAnswer: 152","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 409199 to the power of 1\/2, to the nearest integer?\nAnswer: 640","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 5379 take away 178?\nAnswer: 5201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*(4 + (0 + sqrt(242) - sqrt(242)) - 6*(sqrt(242) + 1) - -4*(1 + sqrt(242))*-6))**2*-4 + 2.\nAnswer: -7865134 - 617760*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 1577994767 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 513?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = -k**3 + 3*k**2 + 3*k - 4. Let f be c(3). Suppose -200 = -f*i + i. What is the greatest common factor of i and 25?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = i**2 - 7*i + 6. Let f be u(6). Let h(t) be the third derivative of t**4\/24 + 2*t**3\/3 - 3*t**2. Let z be h(f). Solve -2*w - 2 = z for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -253601 - 4?\nAnswer: -253605","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = m**2 + m + 2. Suppose -2*s + 4*y = 5*y - 959, -4 = 4*y. Suppose s = 8*u + 64. Calculate the remainder when u is divided by c(3).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-7 - -1) + -5 + 12\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*j + 2*j - 4*j)*(-2*j + 3*j + j) + 75*j**2 - 40*j**2 - 37*j**2 - 2*j**2 + 3*j**2 + 6*j**2.\nAnswer: 9*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -7 + 10. Let d = -2.946 + 2.846. Put 12, d, -2\/5, w in ascending order.\nAnswer: -2\/5, d, w, 12","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -410579.68 to the nearest 10000.\nAnswer: -410000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -87081, 1, -68 in increasing order.\nAnswer: -87081, -68, -3, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -2597 + 2949. Calculate the remainder when 717 is divided by s.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = -r**3 - r**2 - 33*r - 97. Calculate u(-3).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1378 - 1459. Let x be 20\/280 + k\/(-42). Suppose -5*i + 27 = -v, v + 0*v = 2*i - 12. Put x, v, -22, 3 in increasing order.\nAnswer: -22, v, x, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4\/7 > -0.42?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bab when three letters picked without replacement from aaabkkkab.\nAnswer: 1\/63","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 1.2 times -1277\nAnswer: -1532.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = -o + 11. Suppose -u = 2*z - 1, 4*u + 5*z + 1 - 11 = 0. Let w be b(u). Is (-20)\/w*(-45)\/6 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*j + 48 = 3*u - 5*j, u = -5*j + 16. Let o(p) = -37*p + u*p - p. Let w(c) = 3*c**2. Determine o(w(k)).\nAnswer: -66*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand -5*y**4 + y**4 + 2*y**4 + (-2 + 2 - 1)*(-y - y + 3*y)*(2*y**3 + 3*y**3 - 3*y**3).\nAnswer: -4*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 7148 a factor of 291974356?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 19952 is divided by 355?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24*n = 9*n + 299250000. What is n rounded to the nearest one million?\nAnswer: 20000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:49 AM and 12:06 PM?\nAnswer: 77","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert -c6dd3e (base 15) to base 8.\nAnswer: -44062505","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of j**5 - 44*j**4 - 67*j**3 + 23228*j**2.\nAnswer: 60*j**2 - 1056*j - 402","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/2 of a millennium in centuries?\nAnswer: 35","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 145.18 + -155. Let j = a - -9.82000421. What is j rounded to seven dps?\nAnswer: 0.0000042","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -13 + 24. Suppose 0 = -3*y - v + 2, -3*v - 1 - t = 0. Let a be y\/6 - 153\/(-27). Let q(i) = i**3 - 5*i**2 - 7*i - 5. Give q(a).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 40\/(-12)*48\/32.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) be the second derivative of h**6\/360 + h**5\/30 - h**4\/8 - h**3\/3 - 6*h. Let y(n) be the second derivative of f(n). Calculate y(2).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = 8 - 8 - l. Let p be d(0). Let b(v) = -v**2 + 7. What is b(p)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -80 equal to -102?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 111*f**2 + 200*f**4 - 192*f**4 - f + 104*f**2 wrt f?\nAnswer: 192*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -116819\/132 + 885. Suppose 8*b = 4*b - 4. Is k equal to b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((3 - 2 + 0)*(4 - 10 - 3) + (2 - 4 + 3)*(0 + 0 - 1) + 2 - 2 - 1)*(h - h - 4*h + (-6 + 2 - 1)*(-2*h + 1 - 1)).\nAnswer: -66*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = 6*g**2. Let y(x) = -154*x**2. Calculate y(l(k)).\nAnswer: -5544*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 14, 137, 480, 1157, 2282?\nAnswer: 3969","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 86, 168, 250, 332?\n\"Answer: 82*a + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) be the first derivative of -39*t**4\/4 + t**2 + 459*t + 945. What is the first derivative of o(w) wrt w?\nAnswer: -117*w**2 + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -97820585*j**3 + 29*j**2 + 5481*j + 6.\nAnswer: -586923510","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 1299.3 times -2.9014?\nAnswer: -3769.78902","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = d**2 - 428*d - 9898. Calculate f(450).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c + 3 = 3*w - 1, 16 = 2*w + 4*c. Suppose -15 = -3*a - w*a. Let z(h) = -2*h - 11 - 1 + 3 + 5*h. Let q(l) = -2*l + 5. Calculate a*q(o) + 3*z(o).\nAnswer: -o - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1140 - 9. Let b = -412 + f. Is b prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = 7*a**2 + a + 4. Let c(g) = 1 + 4*g**2 + 0*g**2 + 1 + 0*g**2. Let p(n) = -10*c(n) + 6*j(n). Factor p(m).\nAnswer: 2*(m + 1)*(m + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 1437\/9*1 + 7\/21. Let y(b) = n*b - 51 - 54 + 106. Is y(3) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4977.29 rounded to the nearest ten?\nAnswer: 4980","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand o + 0 + 0 - 2 + (-o + 4 - 4)*(2 - 7 - 3) - o - 4*o + 4*o + (2 - 4 + 0)*(0*o - 3*o + 2*o).\nAnswer: 10*o - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = u + 5, 2*b - 5*u = -b + 22. Let s = 7 + b. Let a = 1 + -1. Solve a*t + 3*t = -s for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4715?\nAnswer: 5, 23, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2547?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -591459 rounded to the nearest 1000?\nAnswer: -591000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = -q**3 - 19*q**2 - 18*q + 14. Let u = 138 + -156. Let f be n(u). Solve f*r = 10*r + 8 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = 31014*t - 284. Give k(0).\nAnswer: -284","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 37\/5740695 and 38\/477.\nAnswer: 5740695","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2*-1*sqrt(128) - sqrt(128) - sqrt(128))\/((sqrt(8)*2 + sqrt(8))*-5))\/((1*2*sqrt(88))\/((sqrt(88) - (sqrt(88)*2 - sqrt(88)))\/sqrt(8) + sqrt(11))).\nAnswer: 2*sqrt(2)\/15","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 22 + (47 - 25 - 30) - (-1 - -89)?\nAnswer: -74","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2866098795?\nAnswer: 3, 5, 7, 19, 883, 1627","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 51 is divided by 9?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 933?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 2 (b) -2\/13 (c) -5 (d) -4\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -6 + -13 + 22 + -6 + 0?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -5 and -11.1881?\nAnswer: 55.9405","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 649\/8 - 645\/8. Factor 1\/6 - l**2 + w*l - 4\/3*l**3.\nAnswer: -(l + 1)*(2*l - 1)*(4*l + 1)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -7936851 divided by 139243\nAnswer: -57","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is -11\/126 < 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*s - 8*s + 365. What is the least common multiple of s and 10?\nAnswer: 730","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 98308383 to the power of 1\/3, to the nearest integer?\nAnswer: 462","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 354 minutes after 4:36 AM?\nAnswer: 10:30 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 560461 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3475*s**2 - 1739*s**2 - 1725*s**2.\nAnswer: 11*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = -1760*c - 8805. Give g(-5).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = y**3 + 9*y**2 - 7*y + 3. What is the units digit of l(-9)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -526154*a**3 + 729018 wrt a.\nAnswer: -1578462*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:55 AM and 10:13 AM?\nAnswer: 318","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does 961 divide 10889579?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.1 - 0. Let t = o + 0. Let w = 352\/21 + -122\/7. What is the closest to w in 3\/2, t, 0.3?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in a**3 - 5403*a - 4439*a + 1427*a.\nAnswer: a**3 - 8415*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -28369 = 6031*j + 26674 + 15345 + 1984 for j.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.1 + 0.6. Let d(t) = -t**2 + 82*t - 380. Let w be d(77). Which is the second biggest value? (a) f (b) -2\/25 (c) w\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = 3*d**2 + 2*d + 3. Let u = -5 - -3. Let s = 1 + u. Let v(o) be the third derivative of -o**5\/60 - o**4\/24 - o**3\/6 - 7*o**2. What is s*c(l) - 2*v(l)?\nAnswer: -l**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 9804*a**3*f**3 + a**3*f**2 - a**2*f**3 + 2*a**2*f**2 - 163*a*f**3 wrt a.\nAnswer: 58824*f**3 + 6*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert -4 (base 7) to base 4.\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u - 5740 = -d - 981, 23781 = 5*d - u. List the prime factors of d.\nAnswer: 2, 29, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -101793641\/810 + 125671. Find the common denominator of c and -161\/1170.\nAnswer: 10530","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 5 - 3. Suppose -3*h + 32 = -4*a + 12, 5*h - 5 = a. Solve h = -y*w - 0*w + 10 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 19 divided by 76101?\nAnswer: 19\/76101","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -3 and 6969?\nAnswer: -20907","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 33642 + -33589. Suppose -5*f - 2*w + 3 = -w, -4*f = -3*w - 10. What is the remainder when q is divided by ((-1)\/f)\/(4\/(-28))?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -106 - -112. Let x(r) = -r**3 + 7*r**2 - 6*r + 4. Let m be x(q). Suppose 2*l = 4*k - 2, 0*l - k = -2*l + m. Sort l, 23, -4.\nAnswer: -4, l, 23","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-8 - 14 + 6)*(-m**3 + 6*m - 1258 + 1258).\nAnswer: 16*m**3 - 96*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 47\/21780 and 3\/4840.\nAnswer: 43560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*o - 8*o = 48. Suppose -o + 7 = -c. Suppose -6*g = -c*g + 711. Is g composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 v when two letters picked without replacement from vdvvvvdv?\nAnswer: 15\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (-20 + 21)\/(1*4\/12) - -4496?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (765\/(-1785))\/(119\/49).\nAnswer: -3\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = -x**2 - 10*x - 10. Let p be n(-10). Let s be ((-4)\/(-18)*3)\/(p\/(-15)). Suppose -v = -2*j - 5, 0*v + 3*v + j - s = 0. 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 prob of picking 3 k when three letters picked without replacement from xkxkxxkkxxkxkxkxxkxk?\nAnswer: 7\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -572, -2, -3?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 (base 11) in base 5?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-176)\/((-822624)\/6498) + (1 - 36\/15)?\nAnswer: -2\/205","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -74 + 74. Let k(u) = -u + 16. Let g(s) = -s**2 + 6*s + 2. Let o be g(3). Let i be k(o). Which is the nearest to 0? (a) 2\/11 (b) i (c) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*s**3 - 3*s**4 + 0*s**3 + 1 + 14*s**4 + 6*s**4 + 4*s**2 - s - 6*s**3 to the form r*s**3 + c + l*s**4 + n*s**2 + b*s and give b.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 - 3 = y + 3*l, 2*y + 3*l + 3 = 0. Is y even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 7, -5, 992.\nAnswer: -5, 7, 992","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d*d*d**(1\/11)\/d*d\/d**4)\/(d**(-2\/7))**13 assuming d is positive.\nAnswer: d**(139\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put 10, -6, 2, -3 in descending order.\nAnswer: 10, 2, -3, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -73*w + 86*w - 143 = 0. Suppose w*n = -8*n. Suppose 0*m + 1\/5*m**4 + 0*m**2 - 2\/5*m**5 + n*m**3 + 0 = 0. Calculate m.\nAnswer: 0, 1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 156 and 468.\nAnswer: 468","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -145*p + 1 + 3 + 288*p - p**2 - 2.\nAnswer: -p**2 + 143*p + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-41)\/246*1)\/(2\/(-24)*(-16)\/472).\nAnswer: -59","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 35 + -34. Let t be x*(-1 + 2) - (-1 - -27500002). Round t to the nearest 1000000.\nAnswer: -28000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: (12\/20)\/(26\/5 + -7 + 2)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 27*v - 7*v = 28 + 12. Let s be 148\/126 + (-2)\/7. Is s <= v?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 503 + -458. Let f = 48 + -43. Suppose 194 = i + f*b, -373 = -6*i + 4*i - 5*b. What is the remainder when i is divided by y?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -10 and -105150.3.\nAnswer: 1051503","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -323742 - -117?\nAnswer: -323625","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 120 and 781880.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 3973, 3964, 3953, 3940, 3925, 3908?\n\"Answer: -i**2 - 6*i + 3980","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -172126 divided by 2\nAnswer: -86063","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in fifty-one fifths of a litre?\nAnswer: 10200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.7 and -0.045?\nAnswer: -0.0315","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3267?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j = 2*p - 10, 6 = -0*j + j + 2*p. Suppose -22 = -j*x + 34. What are the prime factors of x?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-43846)\/8)\/(15\/55). Let k = -20085 - a. What is the common denominator of -91\/22 and k?\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 3.409484 centimeters?\nAnswer: 0.03409484","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i - 9 = 4*n, 2*n = 5*i - 5 - 6. Let l(c) = 5 - i + 4*c - 5. Let d = -79 - -83. Determine l(d).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*m - 9*m = 10*m. Which is greater: -12\/109 or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) be the first derivative of -2*g**3 - 5*g**2\/2 + 6. What is the second derivative of l(j) wrt j?\nAnswer: -12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = 8*y**3 + y**2 + y - 1. Let p = 38 - 47. Let d(r) = r**2 + 11*r + 19. Let h be d(p). Calculate u(h).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -33 + -11?\nAnswer: -44","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m - 6 = -b - 5, 16 = 4*m. Suppose s = 4*y + 16, 3*s = 7*s + b*y - 22. Find the second derivative of s*w**2 + 0*w + 0*w + 3*w wrt w.\nAnswer: 16","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22*l = 33*l - 5104. Suppose 4*y - 4*h - l = 0, 4*y + 6*h = 5*h + 464. Calculate the remainder when y is divided by 17.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -h = -5, 296*k + 25 = 299*k + 5*h for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*p - 2*p - 4*w + 40, 5*p = 3*w - 114. What is the tens digit of p\/9*-15*2?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -448, -940, -1430, -1918?\nAnswer: -2404","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = 4*n**2 + 13 - 13. Let y(w) = -180 + 180 - 2*w. What is x(y(b))?\nAnswer: 16*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 7852, 15694, 23550, 31426, 39328, 47262?\nAnswer: 55234","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h = 3*h - 7. What is the third derivative of -n**2 - h*n**6 + 11*n**2 + 16*n**6 wrt n?\nAnswer: 1080*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -5 - 1 - (-1 - 5) - -6.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 18, 41, 88, 171, 302, 493, 756?\nAnswer: 1103","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -46 - 10278*z**2 + 129*z + 47 + 2699*z**2.\nAnswer: -7579*z**2 + 129*z + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = 7*d**2 + 30*d - 4. Let w(l) = 3*l**2 + 15*l - 2. What is 6*u(y) - 13*w(y)?\nAnswer: 3*y**2 - 15*y + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-1 + 1 - 2)*(4 - 3 + 0) - 4 + 1 + 0)*(-1 + 1 - 2)*((2*k**4 - 4*k**2 + 4*k**2)*(k + 0*k + 9*k) + 2*k**5 + k**5 - 2*k**5 - 2*k).\nAnswer: 210*k**5 - 20*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -11*l + 2*l**2 + 3*l**2 + l**2 - 7*l**2 + 2*l**3 to the form k + s*l + u*l**3 + y*l**2 and give u.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u - 5*m = 2038, 22*u + 3078 = 28*u + 3*m. Calculate the remainder when u is divided by 34.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1843, -7389, -16633, -29575?\nAnswer: -46215","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -416*c**2*m**3 + 7604*c**2*m**2 - 3*c**2*m - 33569616*m wrt m?\nAnswer: -2496*c**2*m + 15208*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:54 AM and 7:12 PM?\nAnswer: 618","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 6*x + 0*x - 4*x + (0*x + 2*x - 4*x)*(402 - 852 - 1041) to the form z + o*x and give o.\nAnswer: 2984","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 6\/(-33) + (-2)\/(-11). Let b = 3 + z. Suppose -24*p - 6 = -27*p. Calculate the greatest common factor of p and b.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 2254 and 105523.\nAnswer: 237848842","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 172141 to the power of 1\/7, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 0 - 1)*(74752*y - 74752*y - 7392*y**4).\nAnswer: 7392*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = -2*v + 5. Let j be g(-5). Let u be ((-4)\/6)\/(-2)*j. Let f(n) = n. Let o be f(0). Solve o = -q - 0 - 1, -w + 4*q = -u for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -69, 1, 4, 3 in ascending order.\nAnswer: -69, 1, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 3237395916 to the nearest integer?\nAnswer: 1479","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 43\/770 and 111\/290?\nAnswer: 22330","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s + 838 = 758. Calculate the greatest common factor of s and 190.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = -17*w**2 - 4 + 4*w - 32*w**2 + 29*w**2. Let l(r) = 40*r**2 - 9*r + 9. Let k(q) = 9*i(q) + 4*l(q). Let o(v) = -2*v**2. What is k(o(y))?\nAnswer: -80*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {k: 1, r: 2, x: 2, q: 4}. What is prob of sequence xrkx?\nAnswer: 1\/756","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 848*r + 5418 = 851*r. What are the prime factors of r?\nAnswer: 2, 3, 7, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5\/2, -1, 3\/2, -2 in decreasing order.\nAnswer: 5\/2, 3\/2, -1, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = -v + 2. Suppose -v - 8 = -4*b. Let k = 9 + -4. Solve 9 = b*d - k*r, 0*d + 4 = d - 2*r for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/5, 1, 0.0636 in decreasing order.\nAnswer: 1, 1\/5, 0.0636","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: (-2)\/(-1)*-3*(-6)\/(-234)\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -42213 + -35?\nAnswer: -42252","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 11739, 26922, 45527, 67554, 93003?\nAnswer: 121874","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 60, 130, 200, 270, 340?\nAnswer: 410","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = d**3 - 21*d**2 - 4*d + 91. Suppose -2*j = 2*f - 36, -5*f + 99 = 19*j - 17*j. Calculate the remainder when 97 is divided by g(f).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 56, 57, 68, 95, 144?\n\"Answer: m**3 - m**2 - 3*m + 59","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4452 is divided by 27.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 65*d**3*w**3 - 2*d**3*w - 144*d**3 wrt w.\nAnswer: 195*d**3*w**2 - 2*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 5.25181955 + -5.36182. Let k = -21 - -21.11. Let c = r + k. What is c rounded to seven decimal places?\nAnswer: -0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4 + 1 + 0 + 4 - -1\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -5 (base 12) to base 10\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -4160.862391 rounded to the nearest integer?\nAnswer: -4161","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5271 + 567*n + 30*n - 1307.\nAnswer: 597*n + 3964","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 = -3*l - 30. Let j = l - -6. Let k(s) = s**2 + 4*s - 4. Let c(t) = 3*t**2 + 16*t - 1. Let i(q) = -c(q) + 2*k(q). What is i(j)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_test"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -1d - 3a?\nAnswer: -59","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*t - 1 = -4*t + 5*n, 21 = 3*t + 3*n. Calculate the remainder when 67 is divided by t.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) be the third derivative of -c**7\/8820 - c**6\/2520 + c**5\/210 - c**4\/6 - 3*c**2. Let z(a) be the second derivative of b(a). Let z(v) = 0. What is v?\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x - 4*l - 4 + 17 = 0, -3*x - 2*l = -9. Sort x, -18, 0, 3\/7.\nAnswer: -18, 0, 3\/7, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 31*p - 107*p = -760. Solve -20 = 5*f + 3*k + 2*k, 3*f = -2*k - p for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = -8732*o**2 + 77*o - 18. Let c(f) = -2911*f**2 + 22*f - 5. What is 7*c(q) - 2*h(q)?\nAnswer: -2913*q**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -206.387844 take away -46?\nAnswer: -160.387844","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 74194330?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.377 - 0.037. Let q = n - 8.19. What is q rounded to the nearest integer?\nAnswer: -8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = -3*u**3 - 2*u**2. Suppose 42*i = 45*i - 114. What is the remainder when i is divided by j(-2)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 84165400 and 4.\nAnswer: 336661600","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(432) + -5)**2.\nAnswer: -120*sqrt(3) + 457","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:52 PM and 11:42 PM?\nAnswer: 530","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l - 30 = -3*f + 36, -4*f = 4*l - 280. Let a(k) = 35*k - 30*k - l*k. Let b(d) = d. Determine b(a(z)).\nAnswer: -67*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: (-27 - (32 - 38)) + 2\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) be the third derivative of 9*c**6\/10 + 35*c**3\/3 - 5*c**2 - 3. What is the derivative of n(l) wrt l?\nAnswer: 324*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = -20*v**2 - 4360*v. Give o(-218).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) be the second derivative of 151*s**6\/30 + 4*s**3\/3 - 193*s**2\/2 + 404*s - 1. What is the derivative of h(i) wrt i?\nAnswer: 604*i**3 + 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 266216 to the nearest integer?\nAnswer: 64","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.02 and -3410?\nAnswer: 68.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is (1 - -3) + 11 + -12?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = -3*n - 10. Let j be r(-6). Solve 4*u = -j - 0 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1025247 - 5.\nAnswer: 1025242","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}