diff --git "a/data/dm_maths/full_data/10773_11255.jsonl" "b/data/dm_maths/full_data/10773_11255.jsonl" new file mode 100644--- /dev/null +++ "b/data/dm_maths/full_data/10773_11255.jsonl" @@ -0,0 +1,10000 @@ +{"text":"Question: What is 416 minutes after 12:35 PM?\nAnswer: 7:31 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 469\/5 - 823\/10. Let o(i) be the first derivative of -16 + 0*i**3 - w*i**2 + 0*i - 6*i**4. What is the second derivative of o(f) wrt f?\nAnswer: -144*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 585 minutes before 11:33 PM?\nAnswer: 1:48 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) -1085 (b) -2 (c) 5 (d) -1\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ztrtrzttttttt. What is prob of sequence zttz?\nAnswer: 6\/715","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 17.60748 * -2\nAnswer: -35.21496","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -2\/167, -0.76, 74, 3.7?\nAnswer: -0.76","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -0.5, -67592, -2\/775?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -o**2*x**3 - 24*o**2 - 33*o + 4592*x**3 wrt x.\nAnswer: -3*o**2*x**2 + 13776*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 175265445?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r = 4*c - 41, -2*r - 48 - 23 = 3*c. Let h = 35 - r. Let g = h + -66. What is the least common multiple of g and 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -31*f + 30*f + 2 = 0. Let k(d) = -12*d**2 + 21*d + 7. Let u be k(f). Is u < 8\/17?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0.2 or 20443?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1558 (base 10) to base 5.\nAnswer: -22213","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 56 + 22 = 6*s. Is 7 a factor of s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -3897 + 3882. Let l = -4.9 + -0.1. Sort a, 4\/5, l in increasing order.\nAnswer: a, l, 4\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 9\/15 - 34\/(-10). Solve 5*d = d - 4*l + 4, 0 = r*l for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 + 1 = -a. What is the tens digit of (-27)\/6*8\/a?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 94553397 to the nearest integer?\nAnswer: 456","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_test"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1975 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 58 - 32. Suppose -3*m + 3*x = x - 19, 2*m = 4*x + h. Solve -m*a - 8 + 2 = 0 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 462 minutes before 4:07 PM?\nAnswer: 8:25 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 507 (b) -4\/9 (c) -164 (d) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.01 and -2948687.8.\nAnswer: -29486.878","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -29961*t**3 - 19*t**2 - 21*t**2 + 38*t**2 + 31836*t**3.\nAnswer: 1875*t**3 - 2*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-10)\/(-4))\/(1269\/(-243) + (-14)\/(-63)). What is the closest to -1\/2 in -3\/2, i, -1\/8, -135?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1293, -2, -4, 2, 0.\nAnswer: -1293, -4, -2, 0, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4 - (3 + 72\/6)) + 13?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*t - 4*v = 16, -5*v = 5*t - 73 + 93 for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or -1\/224136?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 6 - 5.2. Let d = p - 0.836. What is d rounded to 2 decimal places?\nAnswer: -0.04","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p - 3*p + 9 = 0. Let r = p + -10. Which is the nearest to r? (a) 5 (b) 3 (c) 1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**1*y*y**(2\/11))**(-4\/3) assuming y is positive.\nAnswer: y**(-32\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-31878)\/1932*8\/(-66)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -106987 or 26?\nAnswer: 26","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 11 and (-8)\/(1 + (-5)\/((-800)\/(-165))).\nAnswer: 2816","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (26*r - 26*r + 18*r)*(r**4 - 2*r**4 - r**4 + (-3*r**3 + r**3 + r**3)*(-2 - 2*r + 2) - 5*r**4 + 2*r**4 + 2*r**4 + 0*r**4 - 3*r**4 + 2*r**4).\nAnswer: -36*r**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = f**3 + 20*f**2 + f + 19. Let q be c(-20). Let g be (4 - q)*(-462)\/(-14). Calculate the highest common divisor of g and 33.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 177, -5, -2, -0.032, 9 in decreasing order.\nAnswer: 177, 9, -0.032, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-2)\/(-4 + -1*(-4 - -6)). Which is the third smallest value? (a) -8 (b) t (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 48, 160, 358, 648, 1036, 1528, 2130, 2848?\n\"Answer: s**3 + 37*s**2 - 6*s + 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 p and 1 u when four letters picked without replacement from ekpukxkxpkkukkuepe?\nAnswer: 1\/1020","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 f when three letters picked without replacement from {f: 5, r: 2}.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) be the second derivative of -26\/3*y**4 + 0 + 0*y**3 + 83*y**2 - 47*y. Differentiate i(n) wrt n.\nAnswer: -208*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = 68*k**2 + 3*k + 4. What is the tens digit of g(-1)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 10 and 11047288?\nAnswer: 55236440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {l: 3, n: 2}. What is prob of picking 3 l and 1 n?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-279)\/1488 - 3*(-27)\/240.\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -9569272 (base 10) to base 15.\nAnswer: -c90517","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 115032561?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 42 a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 375\/10*(-81424)\/72700?\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -7 - -10. Suppose 7 + 29 = c*o. Is 12 a factor of o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.3 * -0.0008.\nAnswer: -0.00024","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(2\/9)*s)**(-42)\/((s**(1\/7)\/s)\/s*s*s*s*s**(-4\/9)*s*s) assuming s is positive.\nAnswer: s**(-3404\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = n**3 - 4*n**2 - 4*n - 3. Let l be f(5). Suppose -7 = 5*d - l. Does 2\/73 = d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z = -k - 17, -7*z + 9 = -9*z - 3*k. Solve 3*a - 191*b + 32 = -195*b, -z*a + 5*b + 13 = 0 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -13074 + 13245. Calculate the greatest common factor of l and 1121.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3698*m + 1826*m + 1804*m.\nAnswer: -68*m","meta":{"dup_signals":{},"source":"polynomials__collect_test"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 131027 and 13?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 30 + -21. Suppose m - 1 = -4*a - 13, 4*m - i = 3*a. Suppose 2*d - 6 = -m. Solve -k - d*k = 4 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = -23*v + 11. Is d(-6) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -987 by -3.\nAnswer: 329","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -6173 + 6172.7381. Let q = 0.0381 - x. Which is the fourth smallest value? (a) q (b) -4 (c) 1 (d) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = k**2. Let r be (-1 - (-430)\/35) + 4\/(-14). Suppose 0 = -0*i + r*i - 66. Let j(x) = 12*x**2. What is i*j(c) - 68*t(c)?\nAnswer: 4*c**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = 2*i - 13. Calculate r(4).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Work out -6239710 - -1.\nAnswer: -6239709","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 119 and 852698?\nAnswer: 14495866","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = 3*d**2 + 15*d + 21. Let x be c(-2). Let h be -8*(x\/(-6) - 0). Solve 0 = h*y - 4*g, 0*g = 3*y - 4*g + 4 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 k when four letters picked without replacement from {k: 2, u: 2}.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-6 - 5) + 80\/25*5.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = -i**2 + 3*i - 14. Let s be p(9). Let z be s\/12 + 4\/6. Let g be (1*-1)\/((-1)\/(-6)). Does g = z?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-31)\/(-2)*4378\/6169?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is a575 (base 11) in base 3?\nAnswer: 201012102","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -35 + 35. Suppose 37*i - 41*i + 12 = y. Suppose -i*x + 808 = 262. What is the highest common divisor of x and 14?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -17\/115460 and 19\/45682?\nAnswer: 10506860","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*m + 23 - 5. Let q = -6 + m. Let u = -0.5 + 0.1. Which is the nearest to 2? (a) 2\/21 (b) q (c) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -3\/5 (b) -2383990 (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = -d**2 - d - 3. Suppose 0 = 76*f + 341 + 115. Calculate p(f).\nAnswer: -33","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 36612861 a multiple of 2068?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express -2408312*l**2 + 8*l**4 + 4 + 3*l - 4 + 2408311*l**2 as j*l**4 + r + d*l**3 + w*l + y*l**2 and give j.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 335*x + 1294 = -46. Sort 3, 5, x, 2, 4.\nAnswer: x, 2, 3, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -271287*i**2 + 216304 wrt i.\nAnswer: -542574*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = -75*g**2 + 43*g + 123. Determine p(-1).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Divide 168 by -2.\nAnswer: -84","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) be the first derivative of -p**3\/3 + 9*p**2\/2 + 3*p + 29. What is the remainder when 110 is divided by m(4)?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 148, 153, 172, 211, 276, 373?\nAnswer: 508","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 6*k**4 + 2*k**3 - 8*k**2 + 1363*k - 7648203.\nAnswer: 24*k**3 + 6*k**2 - 16*k + 1363","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-196)\/(-42) - -3)\/(((-1)\/5)\/((-219)\/(-730)))?\nAnswer: -23\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -1532 + 1532 - 331*p**2 + (5 - p - 5)*(6 - 5 - 6*p - 2).\nAnswer: -325*p**2 + p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*z - 1915 = -2*a - 1959, -3*z - 4*a + 42 = 0 for z.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s = -4*d + 28, -3*s + 30 + 22 = -4*d. Does 10 divide s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2233607?\nAnswer: 2233607","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {c: 5, p: 8, q: 2}. Give prob of picking 4 c.\nAnswer: 1\/273","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 3285\/(-63)*37\/((-1665)\/63)?\nAnswer: 73","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 798320 and 319328?\nAnswer: 1596640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = q**2 - q + 2. Let s be i(2). Suppose 0 = -s*u + 112 + 48. What are the prime factors of u?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*v + 2*v. Let l(g) = -9*g + 3 + g**2 + 3*g + v. Let n be l(6). Calculate the highest common divisor of 33 and n.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*g + 33*g**3 + 5*g - 35*g**3.\nAnswer: -2*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) be the first derivative of 15*l**4\/4 + 9*l**2 - 23. What is the second derivative of o(a) wrt a?\nAnswer: 90*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 132.05 to zero dps.\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert 98 (base 10) to base 15.\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 5*w - 271*w**2 - 454*w**3 + 506 - 3892*w**4 + 454*w**3 + 271*w**2 wrt w.\nAnswer: -46704*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (31806\/8370)\/((-12)\/(-45))*2\/(-6)*-4\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a\/(a**(-1\/3)*a*a))\/a**1*a\/(a*a**(-1\/3))*a**0\/a*(((a**(1\/2)\/a)\/a)**(9\/7))**(3\/28) assuming a is positive.\nAnswer: a**(-2987\/1176)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -1542163, -1542173, -1542179, -1542181, -1542179, -1542173?\n\"Answer: 2*b**2 - 16*b - 1542149","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 52 divide 164686?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = 7*q**2. Let a(l) = -33*l**2. What is n(a(f))?\nAnswer: 7623*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*o + 4*f + 17 = 0, -2*o + 9 = -o - 3*f for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -64*v = 74*v - 53*v - 1020 for v.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -60 = q - 63. Solve a + 2*d - 2 = -0*a, 0 = -2*a - 3*d + q for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of b**2*n**3*q + 7*b**2*n**2*q - 60*b**2*n*q - 4*b*n**3*q + b*n**2*z + 21*n**3*z - 2*n**2*q*z wrt n?\nAnswer: 6*b**2*q - 24*b*q + 126*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 74 + -69. Solve -2*b + j*b - 6 = 0 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) be the third derivative of -g**4\/24 - 4*g**2 - 515*g. Let q(s) = 279*s**2 - 5*s + 5. Calculate h(q(w)).\nAnswer: -279*w**2 + 5*w - 5","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q = 2*z + 199, -3*z + q + 395 = -7*z. Let i = z + 150. What is the common denominator of 87\/20 and (i\/(-30))\/((-12)\/50)?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13 = -v - 9. Let p be (92 + 2)*(0 + v\/8). Let h = 16 - p. Is -31 greater than h?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 371 + -984b4?\nAnswer: -98143","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 50735196?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + 6*(5 + (sqrt(343) + 0 - sqrt(343)) + sqrt(343) + -2 + (sqrt(343)*-2*6)**2).\nAnswer: 42*sqrt(7) + 296366","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1136226 + 124984027\/110. Let h = -39\/5 + 433\/55. Let b = h + k. Is b at most as big as -9?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 488 minutes before 8:46 AM?\nAnswer: 12:38 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 2 + -1. Let m = c - -4. Let k be 1\/5 - (-133)\/35. What is the nearest to -1 in -1\/6, k, m?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -664.2*-1663\nAnswer: 1104564.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 111 minutes after 8:38 PM?\nAnswer: 10:29 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 1\/4, 2418, 450 in descending order.\nAnswer: 2418, 450, 1\/4, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1042*l - 3853*l = -1003*l + 2801*l + 100395 for l.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = -0*y - y. Let x be (-2178)\/24 - 6\/y. Let r = x - -127. What is the remainder when r is divided by 19?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-10)\/(-7))\/(-2*2\/(-28)). Sort -0.4, h, -4, -5 in descending order.\nAnswer: h, -0.4, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-84)\/(-48)*2\/(-7)*-2\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 179306198?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Are 1 and 23\/182 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 c and 1 l when two letters picked without replacement from vcvwwvwwvccwl.\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -2314 - -3544?\nAnswer: 1230","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in h**2 + 361 - 176 - 185.\nAnswer: h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = -v**3 + 4*v**2 + 2*v - 9. Let t(r) = 17*r**3 + 3*r**2 - 8*r + 6. Let x be t(1). Let q be 76\/x + 10\/(-45). Determine z(q).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -v - 5*v - v - 5*y - 37 = -3*v - 96, 0 = -2*y + 6 for v.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(sqrt(1216) + 0 + 1*sqrt(19) + sqrt(19) + 1).\nAnswer: -50*sqrt(19) - 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 131\/718488 and -119\/156.\nAnswer: 9340344","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = 12 - 2*h**2 - 9 - 4*h + 0 + 11*h. What is the units digit of s(3)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -97 + 0 + (92 - (41 - -47)) + 12?\nAnswer: -81","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = -i**2 + 6*i + 13. Let o be c(10). Let t = -5 - o. What is the tens digit of t?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3 times -0.31\nAnswer: 0.93","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 840 + -5041\/6. What is the closest to 0 in 0, k, -0.063?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -12645767 + -2?\nAnswer: -12645769","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from gphghjtpfhg. Give prob of picking 1 h and 1 f.\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = -34*y**2 - 1386*y + 235. Determine i(-41).\nAnswer: -93","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 98023524 a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:28 PM and 5:22 PM?\nAnswer: 54","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 25476.861 months?\nAnswer: 212.307175","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 211*i - 237*i - 344*i = 2960 for i.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -29*y + 3*y - 14*y - 17*y to the form l*y + p and give l.\nAnswer: -57","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*i = 3*i. Solve i = f + f + 10 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + ((sqrt(68)\/sqrt(4) - sqrt(17))*4)**2 + 5.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 171\/96615*105\/7.\nAnswer: 3\/113","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*n - 14 + 16, 0 = -5*v - n - 11 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -9141643, -18283287, -27424931, -36566575, -45708219, -54849863?\n\"Answer: -9141644*f + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 7.6 + -7.1. What is the closest to 0 in 2\/7, -1\/3, f?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -10308\/13 in 1\/9, 0, -0.05?\nAnswer: -0.05","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t = -95 + 77. Let y(u) = 21*u**2 - 46*u + 26. Let s(v) = -62*v**2 + 137*v - 77. Let g(d) = t*s(d) + 17*y(d). Factor g(w).\nAnswer: -5*(w - 2)*(3*w - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-24)\/18*12\/(-64)\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) be the second derivative of y**8\/14 + y**4\/2 + 11*y. Find the third derivative of w(g) wrt g.\nAnswer: 480*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = 7*w**2 - 9. Let h(p) = p**2 - 1. Let a(k) = -9*k + 68. Let j be a(8). Give j*h(s) + q(s).\nAnswer: 3*s**2 - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 143613135.\nAnswer: 3, 5, 877, 1213","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -184, -362, -540, -718, -896?\n\"Answer: -178*w - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (63\/6048)\/(4\/(-16)*6\/(-3))?\nAnswer: 1\/48","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5395258 = -4*w + 3*t + 1615996, w = 2*t - 944813. Let v(h) = 34050*h**2 + 4*h + 1. Let p be v(4). Let y = w + p. Round y to the nearest 100000.\nAnswer: -400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve n + 5*v + 9 = 5*n, 4*n - 2*v - 6 = 0 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2428480?\nAnswer: 2, 5, 7589","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -16 + (-3 + 1 - 4 - (-20 - -10))\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a = -3*c + 5*c - 24, -3*a + 4*c = 4. Suppose -3*j + 2*v + 9 = a*v, 23 = 4*j - v. Calculate the remainder when 33\/2 - 2\/(-4) is divided by j.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 10 - 5. Let o(c) = 0 + a + 5*c**2 - 4*c**2 - 6*c. Let w be o(6). Let f(v) = -2*v + 6. What is f(w)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = -2*s**3 - 10*s**2 - 4*s. Let d(c) = 10*c + 16. Let a be d(-2). Let m(u) = 5*u**3 + 28*u**2 + 12*u. Let g(w) = a*m(w) - 11*p(w). Factor g(h).\nAnswer: 2*h*(h - 2)*(h + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d + 20 = -58*w + 60*w, -2*w = 8*d - 8. Solve 0 = -5*b - 42*m + 38*m - w, 5*b + 4 = -2*m for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -596 = -13*z + 379. Calculate the remainder when z is divided by 41.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -746*p**5 + 667*p**3 + 12*p**2 + 26*p + 1185 wrt p.\nAnswer: -44760*p**2 + 4002","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 10388920?\nAnswer: 2, 5, 259723","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -16, -9, 8, 41, 96, 179?\n\"Answer: o**3 - o**2 + 3*o - 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 3 + 0 - (-56170)\/(-20992) and -33\/13.\nAnswer: 3328","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 23 + -21?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 20 in -0.4, -3\/394, -0.004, 16, -4?\nAnswer: 16","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = -8*k**2. Let t(u) be the third derivative of 0*u + 1\/30*u**5 - 6*u**2 + 0*u**3 + 0*u**4 + 0. Calculate s(t(l)).\nAnswer: -32*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -k + 4*i + 206 + 243, -1373 = -3*k - i. Is k a multiple of 57?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1672 a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -34*j + 5040 = -31*j. Does 15 divide j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 277529?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = c + 1. Calculate q(-2).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*y**3 - 10*y**3 - 4172*y + 4172*y + 5*y**3.\nAnswer: -3*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -10 - (-11 - -1) - -4\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1380912017?\nAnswer: 409, 3376313","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) be the second derivative of l**5\/20 + l**4\/2 - l**3\/3 - 2*l**2 - 2*l. Give r(-6).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 72732524?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {d: 3, k: 1, a: 1, h: 5, l: 3, g: 2}. Give prob of sequence lalk.\nAnswer: 1\/5460","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*g - 141540 - 8220 = 0. What is the tens digit of g?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 2, u: 1, g: 2, a: 8, d: 1}. What is prob of picking 1 d and 1 a?\nAnswer: 8\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = -b**2 - b + 20. Let j be g(0). Let s(h) = j - 2*h - 7 - 14. Give s(5).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) be the second derivative of -77*d**5\/20 - 69*d**2\/2 + 2*d - 17. Find the first derivative of b(i) wrt i.\nAnswer: -231*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21*o + 96 = 3*o. Suppose 2*b - 19 - 11 = 0. Calculate the remainder when b is divided by o.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 divided by 67.\nAnswer: 4\/67","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*4*-4*(sqrt(256) + sqrt(256) + (sqrt(256) - (sqrt(256) + -4*sqrt(256)*-2)))\/(1*sqrt(72)) + 4.\nAnswer: -128*sqrt(2) + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) be the third derivative of -u**4\/24 + u**3\/6 + 2*u**2. Suppose -8*k = -3*k - 10. Calculate s(k).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) be the third derivative of 0*z - 1\/24*z**4 + 1\/360*z**6 + z**2 + 0 + 1\/3*z**3 + 0*z**5. Let x(s) be the first derivative of i(s). Solve x(c) = 0 for c.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) -6 (b) -0.1 (c) -0.2 (d) 0.1 (e) -2\/3 (f) 37\/28 (g) -1\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from uju. What is prob of picking 2 u?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = 3*f**3 - 104*f**2 + 166*f - 21. Calculate i(33).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -56, -1\/19, 2.2, 0.3, -6.6?\nAnswer: 2.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 22 + -1. Solve 2*s + 4*z + 4 = -2, -4*s = -3*z - w for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j**7\/j)\/j**(5\/7))\/((j**(2\/43)\/j)\/(j\/(j\/(j*j\/(j**(-1\/11)\/j*j))))) assuming j is positive.\nAnswer: j**(27581\/3311)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-3)\/12)\/(2\/(-24)). Suppose d - 49 = -a*v + 8, 3*v - 255 = -4*d. Suppose -d = -7*q + 4*q. Is 10 a factor of q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = -14*v**2. Let l be 2\/(-15) - 8618\/(-2085). Let d(i) = 14*i**2. Give l*d(z) + 3*s(z).\nAnswer: 14*z**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 16140163 to the power of 1\/2, to the nearest integer?\nAnswer: 4017","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 16\/152 - (5 - -9 - (12873\/10374 - -13))?\nAnswer: 9\/26","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 5, 4\/9, 26, 0.12 in ascending order.\nAnswer: 0.12, 4\/9, 2, 5, 26","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 31567 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -48 + 81. Suppose 5*o - 6 - 49 = 0. What is the greatest common divisor of o and g?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-16)\/(-12)*8)\/((-17)\/(357\/14)).\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -6, -35, -82, -147, -230, -331?\n\"Answer: -9*x**2 - 2*x + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + sqrt(360)\/sqrt(2).\nAnswer: 2 + 6*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (1820\/(-8))\/(9\/18). Let h = -352 - i. What is the tens digit of h?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) be the first derivative of x + 0*x**2 - 5\/2*x**4 + 0*x**3 + 7. Let y(h) = -h**2 - 4*h - 1. Let m be y(-4). What is g(m)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1970 + -645. What is the tens digit of m?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = -4*v + 6*v - v + 6*v + 5. Let u(c) = -10*c - 7. Determine 7*j(m) + 5*u(m).\nAnswer: -m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*s**5 - 3462*s**4 + 1527206*s**3 - 25026114*s**2 + 23502368*s = 0 for s.\nAnswer: 0, 1, 16, 857","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = -y**2 + 2*y + 1. Let g(v) = -2*v**2 + v + 1. Let z(i) = -2*g(i) + 3*w(i). What is z(-3)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 970692 and 40.\nAnswer: 9706920","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -32285 = -5*g - 5*v, 9*v - 12064 = -5*g + 20201. Is 3 a factor of g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -55*d + 27*d + 56 = 0 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -9.228 + 8.928. Let m = -1 - -1.5. What is the nearest to 0.2 in -0.2, m, -0.5, d?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-17 - -55) + -17 + -9.\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1219\/4 in -3, 46, -4, 0.5?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u - 11 = -m + 6*m, 5*m = u + 1. Suppose -4*j = -6*j + u. Suppose 0 = -5*a + 25, -2*a + 35 = 4*d + a. Solve 18 = -j*x - n + d*n, 3*n + 14 = -4*x for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -524 + 524. Let g be (-1 - 0)\/1*-7. Suppose -g*w + 10*w - 3 = 0. Sort w, 8, q in descending order.\nAnswer: 8, w, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 305 minutes before 10:12 AM?\nAnswer: 5:07 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1587*n**2 - 4469*n - 4503*n + 2 + 8972*n.\nAnswer: -1587*n**2 + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) be the third derivative of -2*t**2 + 1\/6*t**3 + 0 - 1\/6*t**4 + 0*t. Let v be r(-2). Solve -d - v = -2*g, d + 0 = -2*g + 3 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 33249756 - -9337647. Let p = q - 42587419.0000028. Let w = 16 + p. What is w rounded to 6 dps?\nAnswer: -0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:05 PM and 8:52 PM?\nAnswer: 467","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 420\/168*124\/(-10).\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*m - 742 = -2*m - 41*m for m.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 3\/8 of a centimeter?\nAnswer: 3750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 278564.5 litres to millilitres.\nAnswer: 278564500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = -n**2 - 8*n + 18. Let s be u(-10). Let t = -0.3 + 0.6. Which is bigger: t or s?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) be the third derivative of -k**6\/120 - k**5\/12 - k**4\/6 + k**3\/6 + 10*k**2. Calculate z(-3).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u - 16 = 4. Suppose 2*w + 21 = -5*z, -3*z - 4 - u = 0. Let m(h) = -2*h**3 - 5*h**2 - 2*h - 1. What is the remainder when m(w) is divided by 3?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2259?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 59 minutes after 8:10 PM?\nAnswer: 9:09 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gggd when four letters picked without replacement from {d: 1, g: 7}.\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -113 = -8*d + 751. What is the hundreds digit of d?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l + o = 18568, 4*l - 21244 = -4*o + 3492. Calculate the highest common factor of l and 32.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20 = 2*c - 4*c + 4*u, 0 = c - 3*u + 15. Suppose 5*q + 2 - 7 = 0. Let x be 1\/(1*q\/5). Solve 3*g + x + 4 = c for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 448 and 1008.\nAnswer: 4032","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*s**2 + 618 - 618.\nAnswer: 2*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*z - 3*d - 21 + 6, -19 = -5*z + 2*d. What is the remainder when 32 is divided by 88\/5 - z\/5?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = -p**3 + 16*p**2 - 18*p + 44. Let c be v(15). What is the nearest to c in -1\/6, -16, -2?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 69 - 69 + 2*q.\nAnswer: 2*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 3\/7, -3, -55710.7?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-22 - -21) + (2 - 2) + 0.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 12 - -455?\nAnswer: 467","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i = 3*l - 3, 0 = 5*l - 3*i - 1 - 6. Suppose l*f - 43 = -15. What is the remainder when 26 is divided by f?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 27 + 3. Suppose 5*z - 9 = 2*z. What is the greatest common factor of z and m?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.501 minus -21?\nAnswer: 20.499","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = 16*h**2 + 124*h - 14. Give f(-9).\nAnswer: 166","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 23891 is divided by 7941.\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__div_remainder_test"},"subset":"dm_maths"} +{"text":"Question: Let q = -103858.1 - -97516. What is q rounded to the nearest 10?\nAnswer: -6340","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 1.78958 and 795?\nAnswer: 1422.7161","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:09 PM and 1:37 AM?\nAnswer: 688","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -20 (base 3) to base 16\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = l + 3*l + 32. Let k(t) be the first derivative of t**3\/3 + 9*t**2\/2 + 10*t - 24. Let h be k(l). Solve h*b + 16 = 6*b for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*r + 5 = f - 20, -30 = -5*r - f for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -21 + 25. Suppose 2*i - m = -16. Calculate the remainder when -69*4\/i - 15\/5 is divided by 23.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*o = 12*o - 18. Let w = -3 + o. Let g(b) = 5*b**3 - 5*b**2 + b - 6. List the prime factors of g(w).\nAnswer: 3, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = -27*v + 415. Give h(17).\nAnswer: -44","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 753132?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m - 44 = 3*l, -2*l - 2 = -3*l. Let i = m + -6. Suppose -5*g - 86 = -t, -i*t = 2*g - 273 + 17. Is t a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = 2*q**3 - 12*q**2 - 4*q - 15. Is n(11) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.036 - -1.964. Put -0.31, -9, l, 0.3 in descending order.\nAnswer: l, 0.3, -0.31, -9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -n*u**3 + n*u**2 - 34500*n*u - n - u**3 + 1058*u**2 - u wrt u?\nAnswer: -6*n*u + 2*n - 6*u + 2116","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*k + 0 = -4*d - 16, 0 = 3*k + 5*d - 2 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) be the first derivative of 6*o**5\/5 + 5*o - 12. What is the first derivative of z(u) wrt u?\nAnswer: 24*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) be the third derivative of -197*j**6\/120 - j**5\/20 - j**4\/24 + j**3\/3 + 2*j**2. Suppose 0 = 102*k - 107*k - 5. What is the tens digit of x(k)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 - 324*n**3 + 325*n**3 + 1.\nAnswer: n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 52.932009 + -0.915709. Let o = j - 52. What is o rounded to 3 dps?\nAnswer: 0.016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -19693*v**2 + 59062*v**2 - 19669*v**2 - 19697*v**2.\nAnswer: 3*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -40 = -0*a - 4*a. Suppose 5*p + 5*l = -a, -p - 3*p + 5*l = -19. Does 16 divide ((-1 - p) + 1)*-16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-10)\/4)\/((-3)\/(-12)). Let k = r + 15. Solve -x = 5*y - 1, -5*x = k*y - 4 + 19 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*p**3 - 54*p**2 + 186*p - 136.\nAnswer: 2*(p - 4)*(p - 1)*(2*p - 17)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + sqrt(38)\/sqrt(2))*2.\nAnswer: -10 + 2*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 1680 divide 254768640?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + sqrt(44)*-1 + (5*sqrt(275) - -6*-2*sqrt(11)))**2.\nAnswer: 110*sqrt(11) + 1356","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.21 - -0.27. What is the biggest value in s, -1\/2, -0.3?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3543*m**2 + m + 3543*m**2 - 2*m**3.\nAnswer: -2*m**3 + m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 29854 + -29858. Which is the fourth smallest value? (a) r (b) 1\/4 (c) -4\/3 (d) 0.4 (e) 102\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = 34*a - 22. Let t(k) = 17*k - 11. Let r = 85 + -94. Let p(n) = r*t(n) + 4*y(n). List the prime factors of p(-5).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (1 + 31)*(-7)\/(-7). Suppose 5*g - z = g. What is the remainder when g is divided by (-1 + 4 - 6)*16\/(-12)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 e when two letters picked without replacement from {j: 13, e: 5}?\nAnswer: 10\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 3 (b) 410\/1233 (c) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_test"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-6*(-12)\/(-192))\/(6\/(-4)).\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is b0e3 (base 16) in base 8?\nAnswer: 130343","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -1109 minus 7820?\nAnswer: -8929","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 17 a factor of 556495?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 532094047?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -286668 or -286665?\nAnswer: -286668","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -201 + (-4 + -11 - -23). Let o = 71033\/4 + -1475485\/84. Let w = n + o. Is w at least -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 439.2905 meters to micrometers.\nAnswer: 439290500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*o**4 - 1236*o**3 + 255840*o**2 - 17986700*o + 51690750.\nAnswer: 2*(o - 205)**3*(o - 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-5)\/(15\/(-48)) + -1. Suppose -4*b - s = -9*b. Solve -b*a + 0*a = 12 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 338 + -1190. Let b be c\/5*(2390845*-5)\/5. Let v be (-69)\/21 + 3 + b\/(-42). Round v to the nearest one million.\nAnswer: -10000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = w**3 - 10*w**2 - 27*w + 29. Let t be v(12). Let o be 16\/(-4) - t\/(7\/4). What is the nearest to 2\/9 in o, 0.7, -0.2?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 167, 307, 427, 521, 583?\nAnswer: 607","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = -14*l**2 + l + 1. Let h(f) = 16*f**2 - 3. What is -3*h(t) - 4*n(t)?\nAnswer: 8*t**2 - 4*t + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0604717319 rounded to 5 dps?\nAnswer: 0.06047","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 132, 235, 338, 441?\nAnswer: 544","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -3 or -43\/20?\nAnswer: -43\/20","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 99490, 198954, 298418, 397882, 497346?\n\"Answer: 99464*m + 26","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*h**4 - 2*h**4 - h**4 - 2*h**4 + 3*h**4 - 3*h**4 + (0*h**2 + 2*h**2 - h**2)*(-1 - h**2 + 1) - 16*h**4 + 2*h**4 - h**4.\nAnswer: -19*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000088203942 to seven dps.\nAnswer: 0.0000882","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-8 + 8 + 21)*(-127*c - 203*c - 56*c)*(-2*c + 2 - 2).\nAnswer: 16212*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 a factor of 12397?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = -2*z - 9. Suppose 2*k + 12 = 14. Put k, 0, z in descending order.\nAnswer: k, 0, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 124\/(-10)*55\/88*-4. Solve 5*o - 3*l - 5 = 0, 4*o + 0*l = -3*l + d for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 19 - -56. Suppose -195 + r = -10*u. Solve c = 2*c - 3*z + 2, 2*c = -2*z - u for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 173206505 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 17 - 25. Let r be 0*2\/b + -26. Let u = r - -30. Sort -1, u, -4.\nAnswer: -4, -1, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (489\/1943)\/(-185 + 188) + (-14)\/203?\nAnswer: 1\/67","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 21 or 1\/13373?\nAnswer: 1\/13373","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 429373 to the nearest integer?\nAnswer: 655","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10100110100110 (base 2) to base 4.\nAnswer: 2212212","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = 5*d - 8. Determine v(6).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = -l + 12. Let q be x(11). Let b be q*2 - (-7)\/(-7)*3. Let w(r) = -6*r**3 + 3*r + 1. Let c be w(b). Solve -c = -4*i + 5*i for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -26 + 23 - (-1 + 4)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (2\/4)\/(2\/28). Let q = -4 + r. Calculate the highest common divisor of q and 3.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = 11*c - 486. Give f(43).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 110171*a**4*f + a**2*f - 26*a**2 - 80112174*f wrt a.\nAnswer: 440684*a**3*f + 2*a*f - 52*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 3389 divided by 345\nAnswer: 3389\/345","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 18\/4 + -1 + 12\/(-8). Suppose 3*z - 3 = -3*s, -r*s = -2*z + 3*s + 9. What is the highest common factor of 3 and z?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1940 (base 12) in base 15?\nAnswer: d9c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 864.2522km to meters.\nAnswer: 864252.2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 3, -24, -3, 130575.\nAnswer: -24, -3, -2, 3, 130575","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = -2*w, 2*w - 85 + 263 = 3*s. What is the tens digit of s?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 44588861 to the nearest 100000.\nAnswer: 44600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 5\/4 of a litre?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 293150 or 293490?\nAnswer: 293490","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*p + 18*p = 54. Suppose p*v - 1249 + 507 = -q, 0 = q - 1. 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 g in g**2 - 5148*g - 970060 = 0?\nAnswer: -182, 5330","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 - 3 = 2*u, -3*p - 4*u = 108. Let l = -18 - p. Calculate the remainder when l is divided by 8.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c + 5*k + 0*k = 0, 2*k - 19 = -3*c. Let i be ((-7)\/21)\/((-17)\/561). Sort c, 6, 2, i in increasing order.\nAnswer: 2, c, 6, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 1\/104 and -11\/14920529?\nAnswer: 119364232","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 o and 1 u when two letters picked without replacement from uutottuoku.\nAnswer: 8\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = -84*h - 59. Let f(b) = 43*b + 26. What is 7*f(p) + 3*i(p)?\nAnswer: 49*p + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 29*j - 195 = -10*j. Suppose 3*p = 4*s - p - 20, 0 = j*p + 25. Let o = -702 + 33695\/48. Which is smaller: o or s?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-1)\/(128\/24))\/((-12)\/(-32)*-2).\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = -r**3 - 35*r**2 - 127*r - 4485. Determine k(-35).\nAnswer: -40","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = 42824*b - 171204. Give h(4).\nAnswer: 92","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.0697 - -20.9803. Let f = -20.9 + n. Let u = 4 + -7. Which is the biggest value? (a) u (b) f (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 1.2 (b) 0.4 (c) -47\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:51 PM and 5:40 PM?\nAnswer: 49","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*t**2 + 210*t + 1552.\nAnswer: 2*(t + 8)*(t + 97)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = -c - 12. Calculate y(9).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 935 and 87714?\nAnswer: 7455690","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2)\/((-1)\/(3\/(-27)))?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j + 15 = 4*l, 3*l + j = -4*j + 25. Suppose 0 = -5*h + 3*u - l*u - 10, -h = 4*u - 21. Let b be 9\/2 - 1\/2. What is the closest to 1 in 1\/5, h, b?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4941?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 1\/(-1) - 3\/(-1). Suppose h - d = d + 2, 4*h - s*d = 2. Solve h = m - 0*m for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 7.96 - 8. Let g = s - -0.03. Let t = 0.00997 + g. What is t rounded to four dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = 8*x - 41. What is the hundreds digit of k(26)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1000 (base 2) to base 3\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 31717.11 to the nearest one hundred.\nAnswer: 31700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {h: 1, a: 7}. What is prob of picking 1 h and 3 a?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort -44, -0.4, 1\/3, -2\/9.\nAnswer: -44, -0.4, -2\/9, 1\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 70\/(-140)*(0 - 0). Sort c, -3, 40, 5.\nAnswer: -3, c, 5, 40","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.176 + -10.276. Let q = t - -10. Which is the nearest to q? (a) -3 (b) -1 (c) 1\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7387347293 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 10 + -13. Which is the nearest to 1? (a) -0.3 (b) j (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((16 - -25) + -16 - 79) + 51.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-43)\/2 - (870\/(-406))\/((-6)\/(-7))?\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 874?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 94 is divided by 43.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 44*u - 196 - 24 = 0 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in one fifth of a micrometer?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 435510 a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = 15*k**3 + 45*k - 20. Let a(i) = -i**3 + 1. Let s(q) = -20*a(q) - f(q). What is the second derivative of s(y) wrt y?\nAnswer: 30*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(2\/3)*y)**15*y**(-6)\/(y*y**(-4)*y) assuming y is positive.\nAnswer: y**21","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 divided by 34924?\nAnswer: -1\/8731","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -12 + 113?\nAnswer: 101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 5.3 + 1.7. Let z = q + -7.35. Let a = -0.3469 - z. Round a to 3 decimal places.\nAnswer: 0.003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -33650, -37769, -41886, -46001, -50114, -54225?\n\"Answer: v**2 - 4122*v - 29529","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 74214429 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 690?\nAnswer: 2, 3, 5, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = l**3 + 4*l**2 - 2*l + 19. Let c be h(-5). Suppose 5*s = -c*d + 2058, 4*d - d = -s + 416. Is s a multiple of 41?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 28\/5 in 1\/9, -2, -3\/4, -2\/91?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 2788132 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 16019669 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 14570 and 280?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify t**11\/t*t**(-3\/20)*(t**(-27)*t)\/(t**(-15)*t) assuming t is positive.\nAnswer: t**(-43\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -10084 divided by 4.\nAnswer: -2521","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 2554663 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 22*f - 93 = 26*f - 5*u, 4*f + 1275 = -389*u for f.\nAnswer: -27","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is (-22 - -11 - -6) + 5?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sum -3 and -596.\nAnswer: -599","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -42, 3, -2\/71, -3, -3\/2 in increasing order.\nAnswer: -42, -5, -3, -3\/2, -2\/71, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t + 8 = -4*d, -t = 5*d - 0*d - 11. Suppose 0 = -t*v + v + 15. Let p(x) = -6*x**2 - 6 + x**v - 1 + 4*x + 2*x. What is p(5)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find a, given that -a**4\/3 - 3163*a**3\/3 - 2498627*a**2\/3 - 2495465*a\/3 = 0.\nAnswer: -1645, -1517, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 757242 is divided by 116?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 21 + (-34 + 98 - 83)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 23*f*l - 145145*f - 26*l - 131904 with respect to f.\nAnswer: 23*l - 145145","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-6)\/10 - 6441\/15. Let u = h - -236. Let b = u - -305. Is b a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -4*d**3 - 5*d**3 - 9*d**3 + 14*d**3 - d + 4 in the form r + s*d**2 + w*d**3 + v*d and give r.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 0 + (-2)\/(-5) - 2. Which is greater: l or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = f**3 + 6*f**2 + 3*f - 2. Let t be h(-5). Solve t - 2 = -2*o for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 106 + -1168\/11. What is the nearest to 0.1 in -0.2, m, -0.3?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -a - 7*s + 5*s = -2, 3 = -4*a + 3*s for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y + 0*y + 10 = 0. Let k be (y\/(-10))\/(3\/2). Let j = 100\/141 + -2\/47. Which is the second smallest value? (a) k (b) 3\/5 (c) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:45 PM and 4:08 AM?\nAnswer: 503","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 546 + i**3 + 722 - 705.\nAnswer: i**3 + 563","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -2 - 13f7?\nAnswer: -13f9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 126245 is divided by 297.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert 31.6697 hours to milliseconds.\nAnswer: 114010920","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 65941.32 nanograms in kilograms?\nAnswer: 0.00000006594132","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -412*j**3 + 172*j**2 - j - 301877 with respect to j.\nAnswer: -1236*j**2 + 344*j - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -3568366 (base 9) to base 12\nAnswer: -7939b9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -229*z - 8704176 + 21850837 = 0. List the prime factors of z.\nAnswer: 11, 17, 307","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1748820973 minus 0.134?\nAnswer: 1748820972.866","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*s = 29*s + 24*s + 1482 for s.\nAnswer: -26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let -5*h**2 - 1039520*h - 54030091520 = 0. What is h?\nAnswer: -103952","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00000012054352 rounded to 7 dps?\nAnswer: -0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 11030 - 11035. Let y = 0.7 - 0.75. Let x = 5.95 - y. What is the second biggest value in 0.4, x, r?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1 or -8\/145?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) be the third derivative of b**6\/120 + 7*b**5\/60 + b**4\/8 - 11*b**3\/6 + 5143*b**2. Determine w(-7).\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (5\/((-50)\/14))\/((-4)\/(-10)). Which is smaller: 0.6 or y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.5+-1007.7\nAnswer: -1008.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f + 7197 = 4*b, 411*f - 406*f = 3*b - 5392. Does 8 divide b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 474198.\nAnswer: 2, 3, 17, 4649","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 256\/3 in 0.0359, -5, 5\/9?\nAnswer: 5\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p\/(((p*p**(-13))\/p)\/p*p)*p**(-2\/23))**(-33) assuming p is positive.\nAnswer: p**(-10560\/23)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((h**(-1)*h)\/h*h\/(h*h**(-1\/14)*h*h*h*h))\/(h**5\/(h**(-5)*h*h*h)))**13 assuming h is positive.\nAnswer: h**(-2171\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.2847282 rounded to 4 dps?\nAnswer: -0.2847","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 51 and 111?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*j - 2*m - 31436, 4*m - 7211 = 2*j + 13773. Let w = j - -16097. Is w a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.04309130883 plus -0.3?\nAnswer: 0.74309130883","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 14704293?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*w**2 + 4 - 4 - w**4 + (-7 - 3 - 10)*(-3*w**3 + 2*w**3 - 2*w**3)*(-2*w + 0*w + w).\nAnswer: -61*w**4 - 2*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (7 + -8)\/((-1)\/5). Let k be (11 + -7)\/(w - 2). Factor -52\/3*z**3 - k - 16*z**2 - 2*z**5 - 28\/3*z**4 - 22\/3*z.\nAnswer: -2*(z + 1)**4*(3*z + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = a - 3*a. Let o(l) = -l**3 - 4*l**2 - 2*l + 2. Let f be o(-4). Calculate the highest common factor of f and a.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*x + 8*x - 5*b = 2*x + 22*x + 1370, -x - 43 = -8*b for x.\nAnswer: -75","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -764 - -764.333. Round m to 1 decimal place.\nAnswer: 0.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 9642.951 kilograms?\nAnswer: 9642951000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2 - -10) + -13 + 2 - (0 - 5).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 7373, 7366, 7355, 7340, 7321, 7298?\nAnswer: 7271","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 - 61 - (27 + 3 - (-94 - -111))?\nAnswer: -73","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 4 + 2. Let f(x) = -2*x**2 - 3 + i*x**2 - 3*x**2 + 4*x. Let p be f(-5). Solve 5*m - 4 = -p*s, 15 = 4*m - 5*s - 8 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 691161.\nAnswer: 3, 230387","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 60141?\nAnswer: 3, 20047","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = v**2 + 15*v + 13. Give s(-14).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is b in 2*b**3\/9 - 19864*b**2\/9 + 238054*b\/9 + 257920\/9 = 0?\nAnswer: -1, 13, 9920","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + 5 + sqrt(175).\nAnswer: 6 + 5*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2\/(-23) - (-10045)\/(-1127).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 15\/4 of a tonne?\nAnswer: 3750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 151376101 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -146a210 + -3?\nAnswer: -146a213","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) 1 (b) 339 (c) -4\/3 (d) 1\/4 (e) -1\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 30585 to the nearest integer?\nAnswer: 175","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 7*f - 4*f - 6. Suppose -f*d = -6*d + 2*l + 16, -2*d + 2*l + 10 = 0. Which is smaller: d or -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 5 - 39?\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3\/162*-4)\/(58\/58)?\nAnswer: -2\/27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -417*z + 423*z = 546. Calculate the smallest common multiple of z and 143.\nAnswer: 1001","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = -2*k + k**2 - 2 - k + 0*k**2. Does 2 divide d(4)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.02065 to two decimal places.\nAnswer: -0.02","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor -q**3\/2 - 56505*q**2\/2 + 23996700*q - 5057829000.\nAnswer: -(q - 420)**2*(q + 57345)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-10)\/(-240)*-30)\/((-15)\/(-258))*3\/3.\nAnswer: -43\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ppjkjakpaaaa. What is prob of picking 1 k, 1 j, and 1 p?\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 1, f: 2, y: 1, z: 1}. What is prob of sequence zj?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 32569919 to the nearest integer?\nAnswer: 319","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = 104*h + 21. Let r be (8\/(-36)*3)\/(2\/(-15)). Is b(r) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 57\/(1254\/440) - 18. Let w = -6 + 10. Put -29, o, -3, w in ascending order.\nAnswer: -29, -3, o, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m + 10 = -2*m - 2*w, 20 = 4*m + 4*w. Suppose -5*s = -m*s - 2. Solve -i + 1 = v, -2*i = -2*v - 0*v + s for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*h = 31 - 3. Find n such that 8*n**2 - h*n**2 - n**2 - 5*n**4 + 0*n**4 = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0 + 0.03397\nAnswer: 0.03397","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = -h**2. Let x(v) = -3795*v + 11060. Determine x(b(k)).\nAnswer: 3795*k**2 + 11060","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -9 - 80. Let n = q - -183. Suppose -4*u + 2*k = -n, 4*u + 38 = -4*k + 138. Solve -u = -4*p - 8 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1209\/418 less than or equal to -2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 at least as big as 1533\/200?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort 38, 3, 4, 1 in descending order.\nAnswer: 38, 4, 3, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 1014351*j*s + 697900*s with respect to j.\nAnswer: 1014351*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 957\/9 + (-4)\/12. Suppose -4*g = -2*g - l. What is the tens digit of g?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = 2*t - 3. Let b be ((-18)\/(-8))\/(12\/32). What is the units digit of q(b)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 95*c = -1291*c - 210*c + 59052 for c.\nAnswer: 37","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -101\/246 and 59\/486?\nAnswer: 19926","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 95297109 to the nearest integer?\nAnswer: 457","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 222101107*q**2 + 8725*q - 1261?\nAnswer: 444202214","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 181434 - 181431. Factor 1\/2*s**4 + 3\/2*s**p + 0 + s**2 + 0*s.\nAnswer: s**2*(s + 1)*(s + 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 0.2 and -3389.\nAnswer: -3388.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 8\/(-156)*(-333)\/(-18)*3\/(-27) and 5\/99.\nAnswer: 3861","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = v**2 + 37*v + 72. Let f be o(-35). What is the derivative of 23 - 50*c + 31*c - 39*c**f + 19*c wrt c?\nAnswer: -78*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -15 + (12 - -1) - 39\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = g**3 + 9*g**2 + 6*g - 9. List the prime factors of n(-7).\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -2604 at least as big as -2604?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 32\/4375 and -157\/1050.\nAnswer: 26250","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Determine o so that 2*o**3\/21 + 32*o**2\/21 + 160*o\/21 + 256\/21 = 0.\nAnswer: -8, -4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1101 = -3*f - 3*l, -f + 6*f - l = 1859. Let o = -117 + f. Is o prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1 or -1\/61710?\nAnswer: -1\/61710","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -420*r**2 + 31*r - 36500.\nAnswer: -840*r + 31","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = -4*j**2 - 5*j**2 - j**2 + 9*j**2. Let o(y) = 1 + 1 - 4 + y. Let l(z) = -4*z + 9. Let k(b) = -4*l(b) - 18*o(b). Give h(k(n)).\nAnswer: -4*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 6133778171 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 465 - 461. Suppose 5*v = 5*z - 985, w*z + 4*v + 0*v - 796 = 0. Does 6 divide z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5009.\nAnswer: 5009","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {f: 2, k: 3, b: 1, y: 1, i: 1, x: 5}. What is prob of sequence ifxy?\nAnswer: 1\/1716","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 448775.\nAnswer: 5, 29, 619","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 5, 3, 1, -1?\n\"Answer: -2*j + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 251 - 7c?\nAnswer: 1d5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate f + 1 - 5*f + f + 2*f with respect to f.\nAnswer: -1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -1 and -38\/97 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 603\/(-117) + (-2)\/(-13). Let s(q) = 6*q**3 + 4*q**2 + 4. Let j(y) = -7*y**3 - 5*y**2 - 5. Determine t*s(o) - 4*j(o).\nAnswer: -2*o**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = -2*u - 11. Let t(k) = 1. Let b(o) = l(o) + 4*t(o). Let n(r) = 1. Calculate b(d) + 6*n(d).\nAnswer: -2*d - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 532*g - 93*g + 200*g = -449*g + 258*g for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 1\/(3\/(9 - 3)). Round t to the nearest integer.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8413266 to the power of 1\/2, to the nearest integer?\nAnswer: 2901","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -3088 or -50.05?\nAnswer: -3088","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 14908a (base 12) in base 7?\nAnswer: 2644633","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 less than or equal to 1.66?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 o and 1 l when two letters picked without replacement from {d: 3, o: 3, j: 1, l: 13}.\nAnswer: 39\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -6818 - -18873. Is g a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find q, given that 12*q**2 - 1500 - 2*q**2 + 1490 - 5*q**5 - 15*q + 20*q**3 = 0.\nAnswer: -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate v**3 - 77*v - 186 with respect to v.\nAnswer: 3*v**2 - 77","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) be the third derivative of -o**4\/8 + 4*o**2 - 3*o. Let y(f) be the second derivative of f**4\/6 - f. Give y(s(p)).\nAnswer: 18*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 1442?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 39\/1682 and 69\/610?\nAnswer: 513010","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 995539 - 331790 - 331945 - 331804 - j.\nAnswer: -j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -837 - -837. Find n, given that y*n**2 + 2\/13*n - 2\/13*n**3 + 0 = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -40237.1 + 40237. Let r = -0.1 - -0.1. Which is the second smallest value? (a) h (b) 5 (c) -1 (d) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n + 4*o = 0, -5*n - 5*o = -2 - 8. Let g = -25 + 24.9. Let j be 210\/25 + -7 + (-3 - -2). What is the closest to -1\/6 in j, n, g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/4 of a millennium in decades?\nAnswer: 125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 43404772, 43404773, 43404774, 43404775, 43404776?\n\"Answer: y + 43404771","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*d + 12*d - 60 = 0. Suppose -6*w = -11*w - d. Let m = w - -13. List the prime factors of m.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify h**(2\/35)\/h*h**(-39) assuming h is positive.\nAnswer: h**(-1398\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000608931529 rounded to 5 decimal places?\nAnswer: -0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 p and 1 t when three letters picked without replacement from ptppptvspvp.\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/3, -4\/3, -2\/15, -18, 3 in increasing order.\nAnswer: -18, -4\/3, -1\/3, -2\/15, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find n, given that 2*n**3 - 360487*n**2 + 16243769524*n + 8121974884 = 0.\nAnswer: -1\/2, 90122","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 461 + -461. Suppose p = 5*t - 11 - 14. Find y such that 0*y + 0*y**2 + 2\/9*y**t + 0 + 0*y**4 - 2\/9*y**3 = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 116, 523, 930, 1337, 1744, 2151?\n\"Answer: 407*q - 291","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 27511 and 793?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = 2*c**2 - 74*c - 1434. Determine l(47).\nAnswer: -494","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 302\/54*(9 + (-315)\/30) and -43\/14.\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 2 + -1. Let o be w - 9\/(-1*3). Suppose o*f = 3*f + 2. Solve -2*i + 4 = 2*k, 6*i - 2*k - 8 = f*i for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1138646?\nAnswer: 2, 569323","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -43\/4735515 and 7\/1560.\nAnswer: 492493560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (o + 4 + 48 - 15)*(-9 + 10 + 34*o**2 - 1).\nAnswer: 34*o**3 + 1258*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 + 3 - 38*c - 2.\nAnswer: -38*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express 16*d + 431 - 431 as b + l*d and give l.\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.05 + 1.95. Let u(y) = 3*y**2 + 316*y - 861. Let r be u(-108). Which is the nearest to 0.4? (a) r (b) q (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -43.9 and -744.8.\nAnswer: 32696.72","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = -s**2 - 12*s + 1. Suppose 0*w + 2*w = 20. Let b be (-18 + -2)*4\/w. What are the prime factors of a(b)?\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2132 + -0.0741.\nAnswer: 2131.9259","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/11, 0, -2, 8.2 in descending order.\nAnswer: 8.2, 0, -2\/11, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 9253\/40 - 1216\/5. Calculate the common denominator of m and 49\/10.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 2305816887 to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -110*o - 95*o - 1200 = -305*o for o.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand -i + i + i**5 + (1 - 3 + 4)*(5*i + 2*i**5 - 5*i) + (7*i**2 - 7*i**2 - 8*i**2)*(4*i**3 + 2*i**3 - 3*i**3).\nAnswer: -19*i**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 171 minutes after 8:49 AM?\nAnswer: 11:40 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1760 = -35*o - 87*o + 34*o for o.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1 + 51 - 0) + (-201 - -211) - (8 - 5).\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*l**2 - 3*l**2 + 3*l**2)*(-3*l + 3*l + 2*l**3) + (-2*l**3 + l**3 + 4*l**3)*(-2*l**2 - 2*l**2 + 2*l**2) - 3 + l**5 + 3.\nAnswer: -11*l**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 650 and 3562?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 129*x**3 - 1356*x**2 - 5 - 66*x**3 + 5.\nAnswer: 63*x**3 - 1356*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 75733\/(-5859) - ((-8)\/(-16))\/(4\/(-104))?\nAnswer: 2\/27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 46168 and 116.\nAnswer: 116","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + (((sqrt(7) + sqrt(7) + -2 + -2)*-3)**2 + 0 - (sqrt(77) + -6*1*sqrt(77))\/((sqrt(396) - sqrt(396)*-2) + sqrt(396) + sqrt(396) + sqrt(396))) + 0.\nAnswer: -5179*sqrt(7)\/36 + 392","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 40 and 150340?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -663*a + 51308 - 97718 = 0 for a.\nAnswer: -70","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1837*w + 15 = -1840*w + u, w = -4*u + 8 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 69.39+0.2435758\nAnswer: 69.6335758","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -9*(-7)\/1008*-2*(-90)\/18?\nAnswer: 5\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.03 - -48.97. Let a = n + -29. Let l = a - 22. Sort -3\/2, -5, l in decreasing order.\nAnswer: -3\/2, l, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.106? (a) -10 (b) 2 (c) 94\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1.4 + 1.1. Let g = 0.05 - 3.05. Which is smaller: w or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -138 + 138. Suppose k = 2*z + 33*z. Put 4, z, 2, -16 in decreasing order.\nAnswer: 4, 2, z, -16","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.9264845 decades in months?\nAnswer: 111.17814","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Total of -12 and -44.8.\nAnswer: -56.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-9 - (2 + -5)) + (4 - 1).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 3 - -6611027?\nAnswer: 6611032","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1 - 7. Let l = 3 + i. Let p be ((-6)\/8)\/(l\/12). What is the highest common factor of 9 and p?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = -10208*j**3 + 3*j**2 + 2*j + 3. Is 58 a factor of i(-1)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = -4*s + 22. Give w(6).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = 351*o**3 + o**2 + 5. Let s(g) = 1. Calculate -f(l) + 5*s(l).\nAnswer: -351*l**3 - l**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 17632 take away 240027?\nAnswer: -222395","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 7 - -64?\nAnswer: 6b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = 4*v**3 - 18*v**2 + 6*v + 7. Let s be f(5). Let l = s - 86. Solve 3*j = l + 2 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -11 + -330013231202?\nAnswer: -330013231213","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4.52 - 742.6.\nAnswer: -738.08","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w + 4*a + 11 = -9, -a = 3*w + 5. Suppose 0*z - 1\/2*z**3 + w + 1\/2*z**2 = 0. Calculate z.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 36 = -6*w - 30*w for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -56*j = -52*j + 16. Sort 0.3, 2\/5, j in decreasing order.\nAnswer: 2\/5, 0.3, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = -i**2 + 6*i - 4. Let u(y) = y**2 - 3*y + 3. Let t be u(3). Let m be x(t). Suppose 3*f = -m*n + 3172, 2*n - f = 3*f + 1274. Is n prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 3, -143, -4, -1\/5?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -82728, -82797, -82866, -82935, -83004, -83073?\n\"Answer: -69*p - 82659","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -56\/123 (b) 194 (c) -8 (d) 0 (e) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 268 is divided by 8.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -143 divided by 2\nAnswer: -143\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = -v - 4. Let x be z(-5). Find q such that q**5 - 3*q - x - 2*q**3 + 3*q**4 - 2*q**2 - 2*q**3 + 6*q**3 = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -14 * 101.\nAnswer: -1414","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*g*i**3*v*x - 5*g*i*v**2 + 2*g*v**2 + 1291775*i**2*v**2*x + 100*i*v**2*x - i - x wrt i.\nAnswer: 12*g*i*v*x + 2583550*v**2*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 2793560 a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 17\/342 and 31\/342.\nAnswer: 342","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18*s + 83 = 29. Let o be (-40)\/(5 + -15) - s*1. Which is the biggest value? (a) 3\/5 (b) 3 (c) o (d) -2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = k**3 + 10*k**2 - 18*k + 5. What is v(-11)?\nAnswer: 82","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -25 - -24. Sort 18, -5, o in decreasing order.\nAnswer: 18, o, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 2 - 11\/5 - (-41)\/55. What is the second biggest value in -3, 1, x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 801170020?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = -9 - 5*m**3 - m + 5*m**3 - 10*m**2 - m**3. Let a be w(-10). Is -3 != a?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -4 + 5. Let w be (-6)\/m*6\/(-9). Let y(c) = -c**3 + 3*c**2 + 6*c - 4. Give y(w).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = 355*g + 11. Let j be c(3). Let a be ((-76)\/(-10))\/(j\/(-120) + 9). Is 228 less than or equal to a?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 354083 is divided by 195.\nAnswer: 158","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 + 19 = -f. Let h = f + 17. Let v be (108\/15 + h)*5. Solve -4*m = -0*b - 4*b + 32, -2*b + 3*m + v = 0 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8884.6km in micrometers?\nAnswer: 8884600000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 21473 is divided by 3021?\nAnswer: 326","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 0.531044 centuries?\nAnswer: 53.1044","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence sggg when four letters picked without replacement from ssssrrgrrgsggsggg.\nAnswer: 3\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 7? (a) 13 (b) -0.08 (c) -1.84 (d) 11 (e) -0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (95*z**5 - 238*z**5 + z**4 - z**4)*(-1 - 2 - 2).\nAnswer: 715*z**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 39345?\nAnswer: 3, 5, 43, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 633087?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 1, d: 2, x: 9, v: 2}. What is prob of sequence dd?\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -25 in -0.3, -5, -0.03, 0.1?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (0 + -1)\/((-3)\/18). Suppose -120 = -l*k + 2*k. Does 15 divide k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3 + 3 - 2*t)*(1 - 6 + 3) - t + 2*t + 0*t - 1 + 215*t + 138*t - 126*t in the form b + a*t and give b.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_test"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 divided by 20959.\nAnswer: 2\/20959","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 {g: 3, v: 3, l: 2}?\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in -5\/6, 4\/13, -21659\/3?\nAnswer: 4\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -38 (base 10) in base 8?\nAnswer: -46","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1267?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 5\/(-10) - (-1644)\/8 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -166 in -1\/2, 0.5, -3, 2\/7, 6\/29?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6*r + r - r)*(3 - 2 - 2)*(-2 + 0 + 8)*(2 - r - 2).\nAnswer: 36*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 631 is divided by 333.\nAnswer: 298","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 463775348.\nAnswer: 2, 115943837","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 1 (base 16) to base 9\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 1 + (-1)\/(1\/(-2)). Solve 2*v - 20 = -2*v, -g = j*v - 12 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ea when two letters picked without replacement from {y: 1, a: 2, e: 1, v: 2, f: 1, z: 1}?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1\/3*r**2 + 4\/3*r - 1\/3*r**3 - 4\/3 = 0 for r.\nAnswer: -2, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -11, -65, -165, -323, -551, -861?\nAnswer: -1265","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -9? (a) -25\/6 (b) 220 (c) 33\/4 (d) -2\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is (14\/35)\/((-4)\/(-50))?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Determine d so that d**4 - 8384*d**3 + 41903*d**2 - 67036*d + 33516 = 0.\nAnswer: 1, 2, 8379","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = -51 - 53 + 2*o - 57 - 58 + 212. Let g(a) = -4*a + 15. What is -6*g(j) - 13*m(j)?\nAnswer: -2*j + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 320 and 6336.\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -813\/19 - -7951\/228. Let x = 41\/6 + b. Let r = 15913\/1140 - 194\/95. Calculate the common denominator of x and r.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -102*b = -0*b - 13362. Is b composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -9052 + 8858.08. Let l = z + 196. What is l rounded to 1 decimal place?\nAnswer: 2.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 170 - 167. Solve -4*q = -z*s - 7, 0 = -3*s - 4*q + 2 - 1 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 smaller than 303.3228?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (288\/(-192))\/((-9)\/(-42)).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u**3 - 132*u**2 - 12616*u - 151680 = 0. What is u?\nAnswer: -30, -16, 79","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is (-7 - (4 - 0)) + (4 - 0)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + sqrt(2) + -2 - (sqrt(6)\/sqrt(3) + 5))**2 - (sqrt(2) + sqrt(2) + 2 + -5 - (1*sqrt(2) + sqrt(2))**2*-4).\nAnswer: -2*sqrt(2) + 20","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2085*f**2 + 3250*f**2 + 2053*f**2 + 844*f**2.\nAnswer: 8232*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 20513177 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 2.1 + -9.1. Let s = v - -7.1. Let m(y) = 2*y**3 - y**2. Let q be m(1). Which is the second smallest value? (a) 1\/6 (b) q (c) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -14 in 82, -0.01, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1179 divided by -1033.\nAnswer: 1179\/1033","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Add together -1.1 and 446585114.\nAnswer: 446585112.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -19 + -1 - (-5 + -14 + 12)?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 6, o: 6}. What is prob of picking 2 o?\nAnswer: 5\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*(-1 + (sqrt(48) - sqrt(3)) + sqrt(3)))**2 + 0.\nAnswer: -288*sqrt(3) + 1764","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1944247329.\nAnswer: 3, 331, 652651","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*z**4 + 2*z**4 - 4*z**4 + (-5*z**2 + 6*z**2 + 4*z**2)*(3*z**2 + 3*z**2 - 3*z**2) - 39 + 26*z**4 + 39 + (-2*z**3 - 2 + 2)*(-3*z + 7*z - 3*z).\nAnswer: 37*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 387*v + 38949 = 1443*v + 48837 + 102048 for v.\nAnswer: -106","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = 29 + 9*q + 5*q - 4*q. Is d(13) a multiple of 31?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = s**2 - s - 1. What is m(-2)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n = -2*n - 12, w = -3*n + 2191. Is w composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 36133 and 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 619?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 45656, 91930, 138204?\n\"Answer: 46274*j - 618","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 75.9 rounded to the nearest 10?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -602 + 1262. What is the hundreds digit of p?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*a = o - 9, 22*a + 22 = 26*a - 2*o for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 37291 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 2, 15\/442, -0.3, -2?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -104651610, -209303220, -313954830, -418606440?\n\"Answer: -104651610*y","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = l**2 + 28*l + 57. Give m(-14).\nAnswer: -139","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) be the second derivative of -y**4\/12 - y**3\/6 - 3*y**2 + 9*y. What is q(0)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xx when two letters picked without replacement from xvxxxvvvvvvvxxvx?\nAnswer: 7\/40","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -19\/109840 and -145\/12.\nAnswer: 329520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fnv when three letters picked without replacement from {n: 1, v: 2, f: 4, m: 4}.\nAnswer: 4\/495","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = 270*t**3 - 3*t**2 + t + 211. Let l(h) = 269*h**3 - 2*h**2 + h + 213. Let f(r) = 3*l(r) - 2*z(r). What is the second derivative of f(u) wrt u?\nAnswer: 1602*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) be the third derivative of -1\/12*w**4 + 0 - 20*w**2 + 0*w + 19\/6*w**3. Is 8 a factor of b(-13)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*j = -17*j + 18. Suppose 4 = -2*f - j, 0 = 4*r - 2*f - 22. What is the third biggest value in 3, r, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 14323917 is divided by 101.\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*s + 10 - 5 + 3*s in the form w + u*s and give u.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*w - 3 - 5. Let h(b) = -b - 6. Let k be h(0). Sort 2, w, k in increasing order.\nAnswer: k, 2, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9832.36l in millilitres?\nAnswer: 9832360","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 60267 - 31587. Does 10 divide t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*o**3 - 4*o**3 - o**3 + 2*o**3 - 5*o**3 + 10*o**3 + (-1 + 3 - 3)*(3*o**2 - 3*o**2 + o**3) in the form l*o**2 + c + s*o + w*o**3 and give w.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -91 - -97. Let i be (-18)\/39*(-512)\/z. Find o, given that -32\/13*o**3 - 192\/13*o**2 - 2\/13*o**4 - 512\/13 - i*o = 0.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: (2 - 1)*2 - 16\/4\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -6 (b) 4 (c) -1.1 (d) -5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -139, -184, -285, -460, -727, -1104?\n\"Answer: -3*j**3 - 10*j**2 + 6*j - 132","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = j**3 + 27*j**2 + 43*j + 23. What is the tens digit of a(-24)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = p**3 - 7*p**2 - 9*p + 19. Calculate s(8).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l - 2*j - 79 = -93, -j = 5*l - 7. Solve l = g + k + 2, -3*k + 14 = 5 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y\/y**(-2\/5))\/(y**(-1\/6)*y))\/(((y\/((y**(1\/4)\/y)\/y)*y*y)\/y)\/(y**(-3)\/y))*((y\/(y*y**(2\/3)))**(-1\/61))**(1\/73) assuming y is positive.\nAnswer: y**(-1919203\/267180)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:51 AM and 9:34 AM?\nAnswer: 283","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 51185 divided by -6\nAnswer: -51185\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express o - 4*o + 2*o - o - o + 7*o + (5 + o - 5)*(2 + 2 + 0) as f*o + s and give f.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-37)\/(-111)*(18 + (1 - 1))?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = 11*i**3 + 4*i**2. Let h(n) = 12*n**3 + 3*n**2. What is 4*h(u) - 3*l(u)?\nAnswer: 15*u**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in six fifths of a gram?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -108673, -108611, -108549, -108487, -108425?\n\"Answer: 62*u - 108735","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = 2*f**2 - 18*f - 9. What is v(8)?\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-166*f**3 + 82*f**3 - 79*f**3)*(f - 3 + 3) to q*f + k*f**2 + u + z*f**4 + w*f**3 and give z.\nAnswer: -163","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify d**10*d*d\/(d\/d**(-18))*d*d*d assuming d is positive.\nAnswer: d**(-4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -19 + (-1 - 12) - (139 + -253)?\nAnswer: 82","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide 127419 by 10.\nAnswer: 127419\/10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 12749081, -5, 1, 5 in descending order.\nAnswer: 12749081, 5, 1, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -10597, -20879, -31161, -41443?\n\"Answer: -10282*d - 315","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 28818?\nAnswer: 2, 3, 1601","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor v**2 - 18247862*v - 91239335.\nAnswer: (v - 18247867)*(v + 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -544, -784, -1184, -1744, -2464, -3344, -4384?\n\"Answer: -80*l**2 - 464","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 10458 and 249.\nAnswer: 10458","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a + 2*x + 0*x = 28, -5*x = 5*a. Let u be 32*(-8)\/(-6) - a\/(-6). Let m = u + -36. What is the highest common factor of 21 and m?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 53 + 13 = 2*y. What is the units digit of y?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2313512 to the nearest integer?\nAnswer: 132","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -14\/5 + 89\/30. Let w = -0.2 - -0.1. What is the nearest to w in n, -4, -2\/7?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0.1 (b) -4 (c) -36 (d) -5\/3 (e) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 322.69 + 52\nAnswer: 374.69","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = s**3 + 9*s**2 + s + 13. Let f be b(-9). Suppose -f*u + 2*o + 50 = 0, 5*u + 2*o - 68 + 10 = 0. Does 4 divide 3\/12 - (-285)\/u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 59 a factor of 7316?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -20 - -23. What is the greatest common factor of 6 and f?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (5*1)\/(2 + -3). Suppose -104*z - 84 = -20*z. Put z, -9, q in increasing order.\nAnswer: -9, q, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*l**2 - l**2 + 0*l**2)*(-2*l - l - 2*l - 9) in the form g*l**2 + u*l**3 + a + b*l and give u.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*j + 6 = -6*j. Let l(d) = 3*d**j + 348 - 14*d**2 - 348. Let w(r) = 4*r. Determine w(l(k)).\nAnswer: -44*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -215\/9 + 24. Which is smaller: b or 1?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((w*w**(2\/37)\/w*w)\/w)\/w)\/(w\/(w*(w*w**(-3\/25))\/w*w)) assuming w is positive.\nAnswer: w**(-61\/925)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00139722867 rounded to 5 decimal places?\nAnswer: -0.0014","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2161122 is divided by 1813?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 0.1644972 weeks?\nAnswer: 99487.90656","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -35244 + 35244 + a**2.\nAnswer: a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -0.2 (b) 0.4 (c) -5\/2 (d) -10895 (e) 0.16 (f) -2\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 21457 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1334039?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 576 and 1038208?\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*o**2 - 48*o**2 + 51*o**2 + 7490*o**3 - 7483*o**3.\nAnswer: 7*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*b**2 + b**2 - 3*b**2)*(-3 + 3 - 2) + 3*b**2 + 0*b**2 + 0*b**2 - 120*b**2 + 419 - 419 + b**2 - 2*b**2 - b**2.\nAnswer: -123*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 647 minutes after 8:55 PM?\nAnswer: 7:42 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does 374 divide 1662056?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rrruxrrxurr. Give prob of picking 2 r.\nAnswer: 21\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14 = 23*q + 61 + 68 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = -6*t**2 - 1. Let d(c) = -6*c**2. What is i(d(r))?\nAnswer: -216*r**4 - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*p**2\/3 - 165519920*p\/3 + 55173306.\nAnswer: 2*(p - 82759959)*(p - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort 7, -36, 4, -1, 3 in ascending order.\nAnswer: -36, -1, 3, 4, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.004782 rounded to four dps?\nAnswer: -0.0048","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) be the first derivative of -48*b - 33 + 16*b**2 + 22*b + 21*b + 19*b. Find the first derivative of d(f) wrt f.\nAnswer: 32","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 21505*w**3 - 21833*w**3 + w**2 + 3*w**2 - 3*w**2 - 2*w**2.\nAnswer: -328*w**3 - w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 54*d - 6 = 52*d, -10 = 4*k - 2*d for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (5\/(-2)*32\/100)\/4*-430?\nAnswer: 86","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 958 or 902?\nAnswer: 958","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 43\/1760 and 21\/3520.\nAnswer: 3520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 1801860 a multiple of 20?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2*(-120)\/(-18)*(-417)\/1112.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence za when two letters picked without replacement from auaz.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*j + j + 3*j + (4*j - j - j)*(-6 + 1 + 3) - j + 5*j - 2*j + j + j - 7*j)*(33*j - 4*j + 42*j).\nAnswer: -568*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -110003000 (base 4) in base 10?\nAnswer: -82112","meta":{"dup_signals":{},"source":"numbers__base_conversion_test"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {p: 1, x: 3, i: 3, a: 2, e: 1, k: 1}. Give prob of picking 1 p, 1 a, and 2 i.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 5 + (6 - 202*-4)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = -2*r + 14. Let w(l) = l**2 + 20*l - 15. Let j be w(-21). Let b be z(j). Suppose -5*t - b*k + 815 = 0, -3*k = -k. Is t composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g + 79 = h, 0 = -5*h + h - g + 338. Calculate the greatest common factor of h and 17.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-12)\/9*(-12)\/48. Let b be -1 + 9\/(-6)*24\/9. Sort p, -1\/10, 1\/2, b.\nAnswer: b, -1\/10, p, 1\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_test"},"subset":"dm_maths"} +{"text":"Question: What comes next: 12180, 12180, 12182, 12186, 12192, 12200?\nAnswer: 12210","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -1.959 - -0.04\nAnswer: -1.919","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f = -4*c + 98, -c + 42 = 4*f - 43. Suppose 3*s - 5 = 7. Calculate the lowest common multiple of s and f.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 49*t = 48*t + 3. Suppose 142 = t*v - 134. Does v = 93?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 997, 1992, 2987, 3982, 4977?\nAnswer: 5972","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 3015 and 225?\nAnswer: 15075","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = -59*f + 3*f**3 + 53*f - 5*f**3. Let x(v) = -2*v**3 - 5*v. Determine -4*x(h) + 3*z(h).\nAnswer: 2*h**3 + 2*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -6.11 + 0.11. Let m = -6.1 - r. Put -3, m, 5 in decreasing order.\nAnswer: 5, m, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = 379*y + 108344. Give z(-286).\nAnswer: -50","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18*o - 16*o = 26. Let j = -2\/13921 + -27804\/264499. What is the biggest value in -0.5, o, j?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 63316.982 to the nearest ten.\nAnswer: 63320","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x = 8 - 4. Suppose 0*o + x*w - 2 = 3*o, -5*o = -w - 6. Is o at least as big as 3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-2)\/6)\/(45\/(-135))?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = 1929*j**2 + 0 + 0 - 1931*j**2. Let f(t) = t**2. What is a(f(w))?\nAnswer: -2*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 164853723?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = -t**2 - 3*t - 1. Let m = -22 + 28. Let u = m + -7. Let j be (1 - 0)*(u - 4). What is l(j)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 111 - 110.5. Sort 1\/5, -4, p, -1 in descending order.\nAnswer: p, 1\/5, -1, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = -266666*m + 4. Let v(w) = -w**2 - 8*w - 6. Let j be v(-8). Let o be c(j). What is o rounded to the nearest one million?\nAnswer: 2000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(5*sqrt(1216)*2*-2 - sqrt(1216)*2*-5*6)*-2.\nAnswer: -2560*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 460359 is divided by 165.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d = g + 23, 0 = -g - d + 5 + 2. Suppose g*r = -5*v - 13, r = -4*v - 12 - 2. Solve -2*b = -0*b + r, 4*b + 16 = 2*j for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 0 + 12*p - 3\/7*p**2 = 0. What is p?\nAnswer: 0, 28","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-390)\/(-90) - (-1056)\/18. Solve u*h = -22*h + 170 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = o**3 + o**2 - o + 99. Let i be k(0). Suppose -3*j + i = -246. Suppose -2*h - j = -7*h. Is h prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 22 - (23 + -7) - -13\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 463957.\nAnswer: 13, 89, 401","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.2 + -0.2. Let y(f) = -2*f - 7. Let c be y(-5). Let h be (8\/10)\/2 - (3 + -2). What is the second smallest value in h, i, c?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 24359233 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence if when two letters picked without replacement from {i: 3, o: 5, j: 3, l: 5, f: 1, a: 1}.\nAnswer: 1\/102","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3*-0.0135.\nAnswer: -0.0405","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = x**2 - 65*x + 1021. What is y(27)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 911.\nAnswer: 911","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/33? (a) 0 (b) -1 (c) -6668\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 7393\/688 - -3\/688. Calculate the common denominator of q and (-1)\/4*21*-3.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7084*o**3 - 1912*o**3 - 1134*o**3 + 1181*o**3 - 3871*o**3.\nAnswer: -12820*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is -91469094 at least 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 3029376 a multiple of 896?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Determine u, given that -u**3\/4 + 421*u**2\/2 - 44099*u - 89042 = 0.\nAnswer: -2, 422","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2084 divided by 4.\nAnswer: -521","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = 263*s**6 + 2*s**2 - 2*s. Let t(u) = 527*u**6 + 5*u**2 - 4*u. Let o(q) = 7*l(q) - 4*t(q). Find the third derivative of o(a) wrt a.\nAnswer: -32040*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -655280 divided by 16.\nAnswer: -40955","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1*(-5)\/(-2)*(-1)\/(-5)?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -2*((-10438)\/4)\/17. Suppose 3*h - 5*h + 1650 = 5*g, 0 = g + 5*h - b. Calculate the remainder when g is divided by 68.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -7 - -12 - (-2 - (-2)\/(6 - 5)). Solve 2*g - 31 = -u*o, 5*g = -98*o + 102*o - 5 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q = -2 + 22. Solve 4*j = -j - q for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 0 + 0)*(-4 - 2*t**2 + 4) + (-3 + 3 + 2)*(4*t**2 - 3*t**2 - 11*t**2).\nAnswer: -22*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 13 - 12.8. Suppose -10*i - 18 = -8*i. Let o be (i - 140\/(-16))\/((-1)\/4). Which is the smallest value? (a) 2 (b) f (c) 4\/9 (d) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 313?\nAnswer: 313","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 20341 or 20340?\nAnswer: 20341","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -210283\/3 - -70099. Solve -1\/3*h**2 - 13\/3 + b*h = 0 for h.\nAnswer: 1, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-16)\/28 - 4\/(-7). Let o = -6\/13 - 8\/39. What is the closest to o in -1\/3, b, 2\/9?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 8\/(-10)*(-20)\/8. Let n(l) = l**2 + 5*l - 16. Let j be n(-5). Let h be ((-18)\/(-36))\/((-2)\/j). Solve -o*i + 0 = -h for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = -k + 3. Let x be p(11). Let q be (x\/(-12))\/((-20)\/(-6)). Find n such that 4\/5 + 4\/5*n + q*n**2 = 0.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -6678, -6677, -6676, -6675, -6674, -6673?\nAnswer: -6672","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f\/(f*f**(9\/7)))**6)**(-5) assuming f is positive.\nAnswer: f**(270\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = -12*r - 3. Let j be y(0). What is the smallest value in j, -4, 4, -0.3?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = 3*z - 8. Let i(y) = -3*y + 9. Let x be (9\/48)\/(12\/32)*-6. Determine x*i(c) - 4*g(c).\nAnswer: -3*c + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 242 is divided by 61?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (388\/291)\/((16\/(-6))\/(-4)). Let d(t) = -t - 9. Let s(h) = h + 1. Give j*s(l) + d(l).\nAnswer: l - 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in -0.5, 2\/6511, 0.6, 0.7, -1\/5, 0.9?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Do -283384 and -283371 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -70*h + 792 + 632 = 374 for h.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 105460 divided by 26365?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 4410 divided by 602?\nAnswer: 315\/43","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 78005 is divided by 120.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = -s**2 - 123104*s - 984779. Determine v(-8).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence sjss when four letters picked without replacement from pssppjsjpjpj.\nAnswer: 1\/495","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*b = 4*c - 52, -3*c - 2*b - 138074 = -138099 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 7212454?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = 113*n**2 - 5*n + 22. Let j(d) = d - 5. What is -4*j(w) - t(w)?\nAnswer: -113*w**2 + w - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w + 1006 + 1099 = 0. Suppose 5*m + 119 = 4*r + w, 4*m - 242 = 3*r. Let j(o) = -32*o + m*o - 25*o. Let v(z) = 4*z**2. Determine j(v(y)).\nAnswer: 20*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*g - 2*n = 0, 4*g + 190 = -3*n - 0*n - 189 + 369 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = -8*p. Let b be s(-1). Let l(k) = -4*k**2 - 3*k + 1. Let f(g) = -11*g**2 - 9*g + 4. Let h(d) = b*l(d) - 3*f(d). Determine h(-4).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 2*a**2*j*w - 1388*a**2*w + 7422716*a*j*w - 17*a*w + 45*a wrt j?\nAnswer: 2*a**2*w + 7422716*a*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 50435410*h**3 + 267791063 wrt h.\nAnswer: 151306230*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 306 + 554 = -88*g - 20. Put 41, g, 2 in decreasing order.\nAnswer: 41, 2, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -457 - 9?\nAnswer: -461","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 189*l + 1145 - 406 = -1529 for l.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 276, 386, 198, -450, -1720, -3774?\nAnswer: -6774","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1.5 * 0.04.\nAnswer: -0.06","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*l = d + 5, 26*l = -2*d + 21*l - 11 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/23 in -1\/7, -14, 0.1993?\nAnswer: 0.1993","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -1\/578 and -27\/2087600?\nAnswer: 35489200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*r - 1005*r**3 + 3 + 3 + 0*r - 2 + 1110*r**3 in the form o*r**2 + s*r + y*r**3 + i and give y.\nAnswer: 105","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 7*m - 3*m + 1656. What is the units digit of (6\/4)\/((-27)\/m)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 43\/4 of a microgram in nanograms?\nAnswer: 10750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 355187 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*((-2*sqrt(204) + sqrt(204) - sqrt(204)) + sqrt(204))\/sqrt(12))**2.\nAnswer: 68","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 305098.99948 + -305105. Let o = 6 + y. What is o rounded to 4 decimal places?\nAnswer: -0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p = -c - 2, 4*p + 2*c - 3*c - 8 = 0. Solve -2*l = 3 + p for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -7150922.98 plus -655?\nAnswer: -7151577.98","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = -j**2 + 26*j + 138. What is the smallest common multiple of s(30) and 10?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8849 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 4 + (-3 + -3 - -4). Let g be 6\/x*60\/12. Solve 3*p - 2*q - g = -5*q, 3*p = -q + 9 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.53 - -0.1189\nAnswer: -0.4111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) be the first derivative of -1\/6*m**3 + 1\/2*m**2 + 3*m + 1. Let w(d) be the first derivative of u(d). Differentiate w(j) wrt j.\nAnswer: -1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 60888 and 552.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 792\/(-57) + 20\/(-190). Let g(f) = -f**2 - 15*f - 14. Calculate g(w).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 1, -6, 47, 0, 131, 5 in ascending order.\nAnswer: -6, 0, 1, 3, 5, 47, 131","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 36*w - 28*w = -110*w + 30444. Calculate the remainder when 41535 is divided by w.\nAnswer: 255","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 1.067252ng?\nAnswer: 0.000000000001067252","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 8987850?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o + 28 = 8. Let v(y) = -2*y**2 - 2*y - 5. Let u(b) = -3*b**2 - 2*b - 5. Let p(x) = -5*u(x) + 6*v(x). Is p(o) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 6? (a) -12 (b) 7\/2 (c) -4 (d) -284 (e) 4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = t + 7. Let c be l(7). Let w be 3*-4*c\/(-24). Suppose -2*m - 25 = -w*m + 5*d, -5*m + d = -45. What is the units digit of m?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 81 is divided by 30?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) be the third derivative of 0*v + 1\/60*v**5 + 0*v**3 + 0 + 11*v**2 + 0*v**4. Let a(w) = w**2. What is l(a(g))?\nAnswer: g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -867658 (base 11) in base 15?\nAnswer: -1c5b90","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 26863 from 0.3.\nAnswer: -26862.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = 9*d + 29. Let t(j) = -4*j - 15. Let u(k) = -5*t(k) - 2*w(k). Let q be u(-6). Suppose 2*l = -1 + 3. Solve q*i + l = 4*i for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -3\/2, -5, 0.5, 124, -1\/4, 7, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*p**2 - 8*p**2 + p**2 + 12*p**2 - 1239*p**3.\nAnswer: -1239*p**3 - 2*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: (-24)\/4 + (1173\/6)\/23\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + sqrt(8)*-1 + sqrt(2))**2.\nAnswer: -8*sqrt(2) + 18","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24*x + 6*x - 110130 = 0. Is x a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 19*i**3 + 110*i**2 - 2378*i wrt i.\nAnswer: 114*i + 220","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*y = 2*y + 130. What is the units digit of y?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 10828?\nAnswer: 2, 2707","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 300 + -278. Suppose 5*w - 30 = 2*o, 2*o + 17 = w + 3. Which is the nearest to -1\/3? (a) -0.3 (b) w (c) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 348, 351, 356, 363?\n\"Answer: l**2 + 347","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -30*y - 30 = -35*y for y.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express -523*j + 41*j - 111*j - 435*j in the form b + n*j and give n.\nAnswer: -1028","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f + 2 = -0. Let j(z) = -z**2 - 9*z + 62. Let n be j(4). Sort n, f, 3 in ascending order.\nAnswer: f, 3, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 127 + -124 - (22 - -2)?\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 108 and 84?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000001751 to seven dps.\nAnswer: 0.0000018","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 112\/5 - (-6 - 54\/(-10)). Solve l = -5*s + 8 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -250100 to the nearest 100000.\nAnswer: -300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 32 - (14 + -5 - -48) - 58.\nAnswer: -83","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 17352942?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = g**2 - 7*g - 1. Calculate a(4).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = -3*q**2 + 2 + 8*q**2 - q**2 - 3*q**2 + q. Let x be a(-2). Solve x = 4*b - 0*b for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -20 - (56 + -39 - 7 - (-1 - -7))?\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2031 + 926 = -74*i + 2077 for i.\nAnswer: 43","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*f = -9*f + 5 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (564\/(-470))\/(16\/20)?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = 13*t + 5. Let f(x) = -15*x - 6. Let v(s) = -6*f(s) - 7*l(s). Let w(o) = -3*o + 5. What is -4*v(z) + w(z)?\nAnswer: z + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -35 (b) 4 (c) -0.3 (d) -2\/11 (e) 18\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -2.42 less than 9.7?\nAnswer: 12.12","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.05282361781 - 299.94712708219. Let z = i - -300. What is z rounded to five decimal places?\nAnswer: 0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = 3*z**2 - 17*z - 11. Let t(c) = -c**2 + 6*c + 4. Let d(y) = 11*t(y) + 4*x(y). Let l be d(11). Calculate the highest common factor of l and 22.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -6 + 1.134756433009.\nAnswer: -4.865243566991","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-35*p + 85*p + 60*p - 2)*(p - p + p**2).\nAnswer: 110*p**3 - 2*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 256613046*s + 39*s**3 - 256613046*s.\nAnswer: 39*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 675 minutes before 2:23 AM?\nAnswer: 3:08 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 264.9999148 + -265. What is b rounded to five decimal places?\nAnswer: -0.00009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = -6*z**2 + 176*z + 2628. Calculate y(-12).\nAnswer: -348","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -28\/3*c**2 - 40\/3*c + 16\/3*c**3 + 0 + 4\/3*c**4.\nAnswer: 4*c*(c - 2)*(c + 1)*(c + 5)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.44 + 0.06. Let y = u - 0.1. Let p = -2 - -1.6. Which is the closest to 0.1? (a) p (b) 2 (c) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -83 - -85. Suppose 2*n = o*r - 3*r + 2181, -2 = -2*n. Is r composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.01 + -0.39. Let m = 0.1 - o. Let t be (-9)\/(-4) + (5 - 7) - 0. What is the closest to -2 in t, m, 2?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 12454 - 12454 - 73*n - 46*n + (3 + 2*n - 3)*(1 + 1 + 0).\nAnswer: -115*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f = 2*a - 14, -4*a = -0*a + 16. Suppose -f*k = -7*k - 56. What is the lowest common multiple of 1 and k?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = d - 1. Let t be h(1). Suppose t = 5*f + 5, -19 = -4*k - f. What is a in -2\/5*a**2 + 0*a + 0*a**3 + 0 + 6\/5*a**4 + 4\/5*a**k = 0?\nAnswer: -1, 0, 1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (1*7 + -1)\/1. Let m(n) = n**2 - 26*n + 3. Let y be m(-28). Let z = 1515 - y. Solve i + z = 3*v for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2411 is divided by 2216?\nAnswer: 195","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-5)\/(-20)*-10)\/(900\/90)?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w + 171 = -149. What is the common denominator of -97\/130 and 148\/24*w\/(-624)?\nAnswer: 1170","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = u**3 - 12*u**2 - 28*u + 2. Determine f(14).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 46 and 207.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 73483 is divided by 29.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((k*k**4)\/k)\/(k\/k**3))**(-6\/7)*(k**0*k**(-6)*k)**(2\/73) assuming k is positive.\nAnswer: k**(-2698\/511)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 t and 2 l when three letters picked without replacement from {l: 9, t: 3}.\nAnswer: 27\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify k**(2\/3)*(k\/k**5)\/k*k**(-8)\/k**(-5)*((k**(-4\/3))**(-29))**(-40) assuming k is positive.\nAnswer: k**(-1554)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f + 282 = -0*f. Let t = -90 - f. Solve -2*r + t = -0*r for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d - 7*w = -2*w + 2, -6 = 3*w. Let u = 83 + -11. Let x = u - 67. Sort d, -2, x.\nAnswer: d, -2, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -110001001111001110010 (base 2) to base 10\nAnswer: -1613426","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h = -2*h - m + 8679, 3*h - 5*m - 8679 = 0. What is the units digit of h?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -202304000 - -1?\nAnswer: -202303444","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:20 PM and 10:45 AM?\nAnswer: 685","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -17090 * -0.4\nAnswer: 6836","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -11*-0.26508\nAnswer: 2.91588","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 14, 20, 16, 2, -22, -56?\nAnswer: -100","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 168*o**3*w**2 + 840*o**3*w + 9*o**2*w**2 - 144*o*w**2 - 511*w wrt w.\nAnswer: 336*o**3 + 18*o**2 - 288*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = -f**2 - 11*f - 8. Suppose -5*h - 15 = 0, 2*m - 4*m + 58 = 2*h. Suppose m = v - 5*v. What is the tens digit of c(v)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = -2*n**2 + 3*n + 1. Let p be v(3). Let g be 34\/p - (-1)\/4. Let a(c) = c**2 + 11*c + 12. Let r be a(-9). Put -5, g, r in increasing order.\nAnswer: r, -5, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 424442 (base 5) to base 10.\nAnswer: 14372","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(-5*4*(-2*sqrt(833) + sqrt(833)))**2 + (2 + sqrt(833) + 3 - sqrt(833) - (2 + sqrt(833) + 0 + sqrt(833))).\nAnswer: -14*sqrt(17) + 1332803","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from lrlrrlrmllr. Give prob of picking 1 l and 2 r.\nAnswer: 10\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 bigger than 27\/3981055?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5342497 is divided by 250.\nAnswer: 247","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) be the third derivative of -z**4\/12 - 7*z**3\/6 - 3*z**2. List the prime factors of x(-7).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = 29722*q. Let u(p) = -14*p**2. Give u(r(f)).\nAnswer: -12367561976*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put 46, 2, -1 in ascending order.\nAnswer: -1, 2, 46","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -286 divided by 27?\nAnswer: -286\/27","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1422 and 4933234.\nAnswer: 44399106","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 5*o**2 - 2*o**2 + 3*o**3 + 37 + 14 - 2*o**3 wrt o.\nAnswer: 3*o**2 + 6*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -5 - -4.6. Let r = -2.77 - 0.23. What is the second smallest value in 3\/2, g, r?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1157*b**2 - 22 + 22 - 448*b**2 - 656*b**2.\nAnswer: -2261*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 2, 2370, -3, -261 in decreasing order.\nAnswer: 2370, 2, -3, -5, -261","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 110 and 70.\nAnswer: 770","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -321032 - 0?\nAnswer: -321032","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = -5*u + 7. Let d be z(-7). Let r be 2\/12 - (-413)\/d. What is the greatest common factor of r and 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 x when two letters picked without replacement from vvvvxvxx?\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 59 divided by -5412\nAnswer: -59\/5412","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Work out 22.739 * 6.\nAnswer: 136.434","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 584 minutes after 8:34 PM?\nAnswer: 6:18 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -7 + -485?\nAnswer: -503","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -36.0299996939 - -36.03. What is c rounded to 7 decimal places?\nAnswer: 0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 173 - 145. Put 4, 3, 1, q in increasing order.\nAnswer: 1, 3, 4, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*y + y + y)*(6 - 4 - 1)*(-2*y**2 - y + y).\nAnswer: -4*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from yiiiyiififii. Give prob of picking 1 y and 1 i.\nAnswer: 8\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is (-6)\/(-4)*42\/(-7)*(-90)\/675?\nAnswer: 6\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 34, 121, 264, 463, 718, 1029, 1396?\nAnswer: 1819","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 2\/(-3)*11\/((-286)\/117)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = w**2 - 8. Let r be c(4). Suppose -r*h + 7*h + 3 = 0. Factor 0*s**2 + 6\/5*s**h + 0*s + 3*s**4 + 0 - 21\/5*s**5.\nAnswer: -3*s**3*(s - 1)*(7*s + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 4318 - 4313. Let x(b) be the third derivative of -17*b**2 + 0*b**3 + 0 + 1\/30*b**w + 0*b**4 + 0*b. Let s(a) = a**2. Determine x(s(d)).\nAnswer: 2*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = 1 + 5*p - 1 - 2 + 1. Let l(w) = -14*w + 4. Let n(j) = 11*g(j) + 4*l(j). Calculate the smallest common multiple of 6 and n(-5).\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 14\/8*33312\/(-106876)?\nAnswer: -6\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2240 = -92*g + 22*g. What is the remainder when 226 is divided by g?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = 14*v**2 + 266*v + 2. Let w be p(-19). Let s(t) = t + 5. Let h be s(-5). Solve h = w*g - 7*g - 20 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 14722250 to the power of 1\/2, to the nearest integer?\nAnswer: 3837","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is (-21)\/392*7*450\/243*-6?\nAnswer: 25\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 103767 is divided by 136?\nAnswer: 135","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = 5 + r - 4 + 3*r. Let k be t(-1). Suppose -3*g - 29 = -26. Sort k, 1, g in ascending order.\nAnswer: k, g, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10*a**2 + 695241 - 5*a**2 + a - a - 695241.\nAnswer: -15*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*m + 3*v - 3, 5*v - 5 = 0. Which is smaller: m or -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -351242 + -1?\nAnswer: -351243","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 129 to the power of 1\/3, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = -2*d**2 + 5*d - 2. What is f(5)?\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -3897913, -15591669, -35081269, -62366713, -97448001, -140325133?\n\"Answer: -3897922*b**2 + 10*b - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:29 AM and 11:31 AM?\nAnswer: 302","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let 45*p**4 + 4730*p**3 + 112325*p**2 - 258660*p - 366300 = 0. Calculate p.\nAnswer: -66, -370\/9, -1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -61, -160, -313, -526, -805, -1156, -1585, -2098?\nAnswer: -2701","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -58 + (36 - -8) + -16?\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o + 7214 = 5590. Calculate the remainder when o is divided by 134.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-10*s**4 - s**4 - s**4)*(4*s - 5*s - 2*s) + 2*s**5 + s**5 - s**5.\nAnswer: 38*s**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -5 (b) 86232 (c) -0.2 (d) 22 (e) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 19.1, -52, 1?\nAnswer: -52","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = i**3 - 8*i**2 + 12*i - 23. Determine f(6).\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = r + 5. Let s be n(-7). What is the units digit of -2 + (-33)\/(s + -1)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify p**(-5)\/(p\/(p*p\/(p\/(p*(p\/((((p*(p*p\/p**(-1\/7)*p)\/p)\/p)\/p)\/p))\/p))))*(p**(-1)\/p)\/(p\/p**(-2)) assuming p is positive.\nAnswer: p**(-64\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 311 - 128. Let m = -84 + -24. Let j = k + m. Does 25 divide j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 40 times 45522.8?\nAnswer: 1820912","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (0 + 16\/(-40))\/((-4)\/16060)?\nAnswer: 2, 11, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = c**2 + 2. Let z be w(2). Suppose 28 = d + z*d. Factor 1 - 7\/2*h - h**3 + 1\/2*h**5 + 4*h**2 - h**d.\nAnswer: (h - 1)**4*(h + 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p - 28003 + 3826 = 0. Is p a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = -11*k - 27. Let x(t) = -18*t - 57. Let r(q) = -3*x(q) + 5*y(q). What is r(37)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-11)\/(-1)*(438 - 437).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = 4*q**2 - 7*q + 2. Let r(v) = -5*v**2 + 8*v - 2. Let t(k) = 3*d(k) + 2*r(k). Let u be t(3). Suppose -u*x + 44 = -51. What are the prime factors of x?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 2\/7, 2\/3, 21?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 p and 2 l when three letters picked without replacement from plllllllllpllpl.\nAnswer: 198\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f - f + 57 = 0. Solve -s + f + 8 = 5*y, -y = 3*s - 11 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = 13*r**2 + 5. Let c(v) = -11*v**2 - v - 4. Let l(w) = -6*c(w) - 5*s(w). Determine l(-6).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 56, 44, 24, -4, -40, -84, -136?\nAnswer: -196","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*y - 3*y + 153 = -4*p, 5*y - 4*p - 255 = 0. Suppose -3*t - 12 = y. Is 16982\/t*(-3)\/2 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 62 by 26018.\nAnswer: 31\/13009","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 755*r**4*t**2 + 4032*r**3*t**2 + 2*r**2*t**2 + 2*r**2 + 84061*r*t - 2*t**2 + 2*t wrt r.\nAnswer: 18120*r*t**2 + 24192*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 939316469.\nAnswer: 7, 13, 10322159","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 1881908.1 microseconds in days?\nAnswer: 0.00002178134375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = -2*s**3 + 0 + 1 - 2*s - 2*s**2 + s**3. Let f be d(-3). Suppose -3*y = -3*u - 4*y + f, -8 = u + 3*y. Solve u*b - 3*b + 19 = -5*i, -b + 8 = -3*i for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 480 by 2.\nAnswer: 240","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 12197 is divided by 305.\nAnswer: 302","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m + 25 = 9*m. Suppose 140 = -0*q + m*q. Let n = q - 4. What is the units digit of n?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + 1 + sqrt(7) + 2 + sqrt(77)\/(sqrt(11)*-3) + (sqrt(252) + 0 + sqrt(28)*-2 + -2)*2)**2.\nAnswer: 112*sqrt(7)\/3 + 1516\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-7832)\/(-7) + (-120)\/(-840).\nAnswer: 3, 373","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 3\/6 - (-10)\/4. Let w = 20 - l. Calculate the remainder when w is divided by 9.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p*p*p\/p**(2\/19))\/p*p**0\/p*p*p\/(p**5*p)*((p\/(p\/p**(-2\/11)))\/p)\/p)\/((p**(2\/29)*p)\/p*p*p\/(p\/(p\/p**(2\/9))))**(1\/6) assuming p is positive.\nAnswer: p**(-915584\/163647)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 8594 - 3728. Suppose 2*g - 2971 + 529 = -2*f, 4*g = 5*f + r. Is g prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(396)\/(sqrt(44)\/sqrt(4)))\/sqrt(3) - 6*sqrt(108)*1.\nAnswer: -34*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 13 divided by 10902\nAnswer: 13\/10902","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -95 + 93. Let c be 1\/((-1)\/t) - -2. Solve -c*l = 5 + 3 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1700 - 22841 = 1820*y + 411*y for y.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Does 26 divide -12 + 169\/13 + 2209?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) be the first derivative of -36 + 36*h + 0*h**2 - h**4 - 4\/3*h**3. What is the derivative of i(t) wrt t?\nAnswer: -12*t**2 - 8*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*h - 1 + 5. Let c = 9 - 15. Let k = -1 - c. Solve 4*z + h = 17, -k*z = 2*m - 24 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-2)\/28)\/((-48)\/32). Let c(q) be the second derivative of -q - d*q**4 + 0*q**2 - 1\/70*q**5 - 1\/21*q**3 + 0. Let c(z) = 0. Calculate z.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4351, 1, 0, 2, -561, -1 in descending order.\nAnswer: 2, 1, 0, -1, -561, -4351","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 344 a factor of 119530565?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 190 + 2*(-15)\/10. Let q = i + 0. What are the prime factors of q?\nAnswer: 11, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 147*i - 19075 + 19369 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 4028 and 228.\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*y**5\/3 - 162*y**4 - 209558*y**3\/3 + 10187612*y**2 - 75301832*y\/3 + 10012144 = 0 for y.\nAnswer: -237, 1\/2, 2, 178","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/2 of a litre in millilitres?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -241 + 241 - 3510*s**2.\nAnswer: -3510*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -144, -948, -2960, -6720, -12768, -21644?\nAnswer: -33888","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 21 - 15. Let s(l) be the first derivative of -7*l**4\/4 + 7*l**3\/3 + 5*l**2\/2 + l - 1. Let x(i) = -8*i**3 + 8*i**2 + 6*i + 1. Give k*s(r) - 5*x(r).\nAnswer: -2*r**3 + 2*r**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 224\/(-17) - (585 + -572) - -26\nAnswer: -3\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Determine f, given that -f**4\/7 + 454*f**3 - 15859*f**2\/7 - 19038*f\/7 = 0.\nAnswer: -1, 0, 6, 3173","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-306)\/(-170)*50\/(-30).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-90)\/(-6) - (3 + 3). Suppose 2*n = -2*o + 140 + 188, 3*n - o = 488. Suppose -125 = -l*c + n. Is 6 a factor of c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 2 + (5 + -7 - 5\/(-1)). Let s = -135 - -247. Suppose m + 2*m + s = 5*k, i*k = -5*m + 80. What is the units digit of k?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 29 = u - 3*a - 0, 0 = -a - 3. Let t = 29 - u. What is the lowest common multiple of t and 6?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 41, 98, 199, 350, 557, 826, 1163?\n\"Answer: g**3 + 16*g**2 + 2*g + 22","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -721425198*m**4 - 367411406.\nAnswer: -2885700792*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) be the second derivative of 4205*p**4\/12 + 145*p**3\/3 + 5*p**2\/2 + 2*p + 74. Factor h(y).\nAnswer: 5*(29*y + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from sqcccqsq. Give prob of picking 2 q, 1 s, and 1 c.\nAnswer: 9\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 3.51 + -7.74. Let r = -0.23 - d. Which is the third smallest value? (a) 0.07 (b) 0.3 (c) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-9)\/2)\/((-69)\/138).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -58085722*i - 69467926 wrt i.\nAnswer: -58085722","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is three fifths of a millimeter in micrometers?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 14074059?\nAnswer: 3, 4691353","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 22211 + 32330?\nAnswer: 121201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:36 AM and 12:26 PM?\nAnswer: 110","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 + 0 = -2*a. Let m(k) = -3*k + 2*k - k**2 - 2 - k**3 + 6*k**a + 0. What is the units digit of m(3)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = 4*w**3 - 40*w**2 - 4*w + 9. Let d(p) = p**3 - 10*p**2 - p + 2. Let s(o) = -9*d(o) + 2*t(o). What is the units digit of s(10)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 374 - 241. What are the prime factors of s?\nAnswer: 7, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4892\/139422 - (-752)\/(-1938).\nAnswer: -6\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = p**3 - 7*p**2 + 7*p - 2. Let c be r(6). Suppose l - t - 290 = 648, 0 = -c*l - 3*t + 3780. Suppose 3*j - l - 1305 = 0. Is j prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 5*i**5 + 0*i**5 - 4*i**5 - 41*i**2 - 2*i**5 + 41*i**2 + (3*i**2 - i**2 - 6*i**2)*(-5*i**3 - 2*i**3 + i**3).\nAnswer: 23*i**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2373 is divided by 213.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put 104, 1, -13, 2 in increasing order.\nAnswer: -13, 1, 2, 104","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(275)\/sqrt(5)*-5 + 3*sqrt(2695))\/(-4*sqrt(176)*-2*-1).\nAnswer: -sqrt(5)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -146, -75, -8, 55, 114?\n\"Answer: -2*y**2 + 77*y - 221","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ssb. Give prob of sequence bss.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-2)\/(-5) + (-150)\/375. Suppose a + 3*h + h - 12 = 0, 3*a - 4*h - 4 = u. What is the least common multiple of 4 and a?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-980)\/2200 - 5\/50\nAnswer: -6\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1208 - 707. Is n prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = s**3 + 5*s**2 - 8*s + 2. Let b be m(-6). Suppose 0 = b*q - 12*q. Solve 2*x + 2*w - 1 + 5 = q, 0 = 2*x + 3*w + 7 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (2\/(-3))\/((-6)\/9). Let o be -2 - (v\/(-3) + -2). Sort -3, -5, o in ascending order.\nAnswer: -5, -3, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 15920692 and 1336852.\nAnswer: 175127612","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 3*d**3*n**2 - 17*d**3*n*v - d**3*n + 192*d**2*n**2*v + 2*d**2*n*v wrt n?\nAnswer: 6*d**3 + 384*d**2*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -284*v + 66251157 - 14710897 + 149266200 = 0. Is v a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-5 - 8) + -10 + 15?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -18 + 18.2. What is the closest to -2\/3 in 2\/7, m, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 19, -19, -101, -227, -397, -611, -869?\n\"Answer: -22*g**2 + 28*g + 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(10)*-3)\/sqrt(5).\nAnswer: -3*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = -3*v + 193. Let b be d(54). Let f(l) = -2*l + 66. Determine f(b).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 8330?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 2 + 3 + -2 - -72. Let s = -41 + x. Let p be -2*s\/16 - -4. Sort -2\/7, p, 6\/7 in descending order.\nAnswer: 6\/7, p, -2\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-17)\/(-102) + 3\/(-18). Let v(o) be the third derivative of -1\/540*o**6 + 1\/36*o**4 - 2\/27*o**3 + q + 0*o + 4*o**2 + 0*o**5. Solve v(w) = 0.\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -93.16 to the nearest ten.\nAnswer: -90","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 172 + -168. Suppose -w*b + 25 - 9 = 0. Sort 5, -59, b.\nAnswer: -59, b, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 3*b - 1)*(5 - 5 + 2)*(-2 - 1 + 2).\nAnswer: -6*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = -y**3 + 5*y**2 + 6*y + 3. Calculate t(6).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 10338 + -165429\/16. Find the common denominator of n and 31\/535.\nAnswer: 8560","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify u\/((u\/(u**(2\/7)\/u)*u)\/u)*u\/(u\/u**(1\/4)*u)*u**(-1\/4)*u*u\/(u*u**(-2\/5)*u) assuming u is positive.\nAnswer: u**(-46\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13*h - 9 = -3*g, 9 = -2*h - 983*g + 986*g for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) be the third derivative of -47*s**5\/20 - s**4\/24 + 2*s**3\/3 - 50*s**2. Find the second derivative of p(n) wrt n.\nAnswer: -282","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i - 11 - 9 = 0. Suppose 2 = 2*z - i. Factor 0 + 1\/2*d**2 - 1\/2*d**z + d.\nAnswer: -d*(d - 2)*(d + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = -j - 6409. Let d(h) = -h. What is q(d(s))?\nAnswer: s - 6409","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = -v**3 - 4*v**2 + 7*v + 6. Let z(l) = -5*l**3 + l**2 - 2*l + 1. Let i(m) = m**3 + 10*m**2 + 11*m + 19. Let a be i(-9). Let j be z(a). Determine q(j).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:22 AM and 5:05 AM?\nAnswer: 103","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 61\/15 and 2\/1815?\nAnswer: 1815","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = -2*v**3 - 9*v**2 + 7*v + 13. Let s be p(-5). Solve 3*n - 9 = -0*w + s*w, 2*w + 2*n + 2 = 0 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -4084 + 4083.9. Which is the closest to -1? (a) -1\/9 (b) g (c) -2\/3 (d) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (1 - 28\/10)\/(3\/(-5))\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.9 * -650853.\nAnswer: -585767.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 481.7908 kilometers?\nAnswer: 481790800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = m**2 - 8*m - 10. What is the remainder when 113 is divided by b(11)?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/3, -2\/11, 34 in decreasing order.\nAnswer: 34, 1\/3, -2\/11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ffldllflfrlll. Give prob of sequence fll.\nAnswer: 14\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 309*h - 2*h**3 - 309*h + 0*h**3.\nAnswer: -2*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-x**4 + 4*x**4 - 2*x**4)*(6 - 3 - 1) + 2*x**4 + 0*x + 0*x + 8*x**4 - 83*x**3 + 83*x**3 + (3 + 1 - 3)*(-10*x**4 + 7 - 7).\nAnswer: 2*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 k and 2 d when four letters picked without replacement from dkiiiiiiiiiidiikiiik.\nAnswer: 1\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 9556101?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 150 - 76. Suppose 5*t - u = -9. What are the prime factors of t?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(168)\/(-4*sqrt(1008) + sqrt(1008)))\/(3*sqrt(32) - -6*sqrt(24)\/sqrt(3)).\nAnswer: -sqrt(3)\/432","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (116\/6)\/(2\/3). Let f(n) = -139*n - 156. Let y be f(-3). Calculate the greatest common divisor of y and v.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from lymmtltlmmememll. What is prob of picking 1 e and 1 t?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5527, -4, -1 in descending order.\nAnswer: 5527, -1, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (x - 2*x + 2*x)*(x**4 - 22*x + 22*x).\nAnswer: x**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -8\/115371 and 40\/153?\nAnswer: 1961307","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0012715 rounded to three decimal places?\nAnswer: 0.001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.02066544 rounded to three dps?\nAnswer: 0.021","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 4051822, 4051825, 4051830, 4051837?\nAnswer: 4051846","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w + 4483 = -5*x - 8310, 0 = -5*w + 4*x + 21300. Is w a multiple of 56?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 40501, 38749, 34009, 24787, 9589, -13079, -44711, -86801?\n\"Answer: -249*m**3 - 9*m + 40759","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5726556 is divided by 571.\nAnswer: 568","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-9)\/4 - 4\/(-16). Let t be q + (-76)\/(-4) + 0. Let m = t - 9. Calculate the highest common factor of 20 and m.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4*l**2 + 2*l**2 - 3*l**2 + 3*l**3 - 2*l**3 to the form p*l**2 + j*l + x + v*l**3 and give v.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 12.2? (a) -215 (b) -5 (c) -0.07\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 12\/(18*(-40)\/180). Let m = 6.1 - 1.1. Let h = 0 + m. What is the closest to z in h, 1, 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (2194\/2194)\/(((-1)\/(-8))\/(33\/(-12)))?\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u - 33*t + 28*t = 5915, 2*t - 5943 = -5*u. Calculate the remainder when u is divided by 11.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 188 and 611?\nAnswer: 2444","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -1*4\/(-4) - -2. Suppose 13 = 5*z + c*j, 5*j - 3 = z - 0*j. Factor -4 - 9*l**2 + 13*l**z + 4 - 8*l.\nAnswer: 4*l*(l - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 6 - -1466?\nAnswer: 1473","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(7) + (sqrt(7) - (sqrt(14) - -2*sqrt(14))\/sqrt(2)) - -5*sqrt(14)\/sqrt(2) - ((1*sqrt(49))\/sqrt(7) + sqrt(84)\/(sqrt(12)*2)))**2.\nAnswer: 175\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hfh when three letters picked without replacement from hffffffhfffffhffffff.\nAnswer: 17\/1140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -40*t + 195 = -165. Let i be t\/27 - 1 - (-16)\/6. Solve 0 = g + 5*l + 16, 7 = -g - i*l - 0 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-16)\/56 - 63\/(-49). Which is the third biggest value? (a) 2\/9 (b) y (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -1\/10, -5, -931, -4, -3\/116, 2?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -59*v = -17*v + 168. Let t(p) = 3*p**3 - 4*p**2 + 3. Let z(c) = -4*c**3 + 5*c**2 - 4. Give v*z(l) - 5*t(l).\nAnswer: l**3 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:58 PM and 4:23 AM?\nAnswer: 385","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mr when two letters picked without replacement from rqrrrrrmmrrmrrrrq.\nAnswer: 9\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/3? (a) -0.2 (b) -1 (c) -341\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a + 73*q = 69*q + 9, a = -4*q + 11. Let n(v) be the third derivative of -v**6\/20 + v**2. Give n(a).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -24 - -368*57\/836.\nAnswer: 12\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3929*u - 1734*u = -421276 - 377207 for u.\nAnswer: 141","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 9 - 5 - (0 + 8)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r - 4*m - 18 = 42, -4*r + 3*m + 73 = 0. Sort r, 6, -5, 0.\nAnswer: -5, 0, 6, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -28.4 - -28. Is -1\/3 less than or equal to w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 1192?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 996446563 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = -q**3 + 11*q**2 - 8*q - 6. Let j be g(10). Let c(o) = -o**3 + 12*o**2 + 26*o + 31. Determine c(j).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6202*m**2 - 59639678602\/3 - 2\/3*m**3 - 19232402*m = 0. Calculate m.\nAnswer: -3101","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -f*o**4 + 2*f*o**2 - 3*f*o + 316*o**5 + 22*o**2 wrt o.\nAnswer: -24*f*o + 18960*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 235559 + -0.064?\nAnswer: 235558.936","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f - 3*m = -13, 0 = -3*f - f - 5*m. Let q(w) = 11*w**3 - 5*w**2 - 5*w + 5. Let t(l) = 5*l**3 - 2*l**2 - 2*l + 2. Give f*t(k) - 2*q(k).\nAnswer: 3*k**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = -2*n**3 + 6*n**2 + 8. Let u be (-3)\/(15\/(-25))*(-151)\/(-5). Let k = u + -152. Let g(j) = j**2 + 1. Give k*l(d) + 6*g(d).\nAnswer: 2*d**3 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r + f + 11 = 0, 6*r - 11 = 5*r + 3*f. Sort r, 3, 1, -16, 0 in ascending order.\nAnswer: -16, 0, 1, r, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1466 a multiple of 32?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -5, 2.5984, 2, -2\/5?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = -3*z - 3. Suppose -3*f - 5*v = 3, -3*f - 5 + 2 = 4*v. Let p be m(f). Suppose p = w + 3*w - 92. What is the remainder when w is divided by 5?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do -53995\/9 and -5998 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -q = 3*q - t + 20, -313*q + 4*t - 102 = -319*q for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -10 + 8. Let g(z) = 3*z**2 + 3*z + 3. Let u(n) = -6*n**2 - 7*n - 7. What is t*u(b) - 5*g(b)?\nAnswer: -3*b**2 - b - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1841029671 to the nearest integer?\nAnswer: 42907","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) be the third derivative of 23*p**7\/30 + p**4\/24 + 515*p**3\/6 - 316*p**2. Find the first derivative of m(y) wrt y.\nAnswer: 644*y**3 + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 450 and -2.2792.\nAnswer: 447.7208","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 489 + -1959\/4. Which is smaller: -2\/7 or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -17825, -17822, -17819, -17816, -17813, -17810?\nAnswer: -17807","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m + 39 = 2*m. Let j be (-42)\/(-11) - m\/((-1859)\/(-26)). Let r be 2 - (0\/(-3) - 2). Solve r*w + 8 = -4*b - 20, w + j*b = -19 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 470472.\nAnswer: 2, 3, 19603","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1750 is divided by 73.\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -2 - -0.9. Let b = -1 - m. Let h = 4.4 - -0.6. Is h at least b?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) be the third derivative of w**6\/120 - w**5\/60 - w**4\/4 - w**2 + 23. Suppose u(l) = 0. Calculate l.\nAnswer: -2, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -18 (b) 0.2 (c) -11\/4 (d) 2\/3 (e) 176 (f) -1\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange s**4 + 2451*s**3 + 3*s - 2451*s**3 - 1 - 22*s**2 + 0*s**2 to the form l + k*s + n*s**4 + z*s**2 + g*s**3 and give z.\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence tay when three letters picked without replacement from atctaya?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 314402531 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 7087 and 1444.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = -5*j**2 - 35*j + 5. Calculate the smallest common multiple of 8 and z(-7).\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -1, -0.4, -3.5, -1\/6, 0.07 in ascending order.\nAnswer: -3.5, -1, -0.4, -1\/6, 0.07, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Do -179740 and -179747 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -133097.132 + -14.4887?\nAnswer: -133111.6207","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 40 and 485.\nAnswer: 3880","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = -5*t - 36. Let x = 58 - 56. Let k(b) = -25*b - 181. Let u(d) = x*k(d) - 11*m(d). Is u(23) a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 56.32 to the nearest 10.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 57\/(-1463) - 4\/(-88)*4.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (-24)\/180 + (-35511)\/(-45)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4\/3 of a millennium in months?\nAnswer: 16000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) be the first derivative of 4*r - 373 - 3*r**2 + 5\/3*r**3 + 1\/4*r**4. Let j(b) = -b**2 + b - 1. Suppose 5 = -5*f - 15. Calculate f*j(o) - x(o).\nAnswer: -o**3 - o**2 + 2*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from acaaawaajakhka. Give prob of picking 1 h, 1 j, and 1 c.\nAnswer: 1\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (46\/(-4) - -14)*-1.\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -21*i**2 - 5 - 11 + 24 - 8.\nAnswer: -21*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from llllllln. What is prob of sequence llnl?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3\/5? (a) 78\/7 (b) 0.5 (c) -1456\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -0.1 (b) -5 (c) 3.34\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*r**4 - 320*r**3 - 7320*r**2 - 70400*r - 242000.\nAnswer: -5*(r + 10)**2*(r + 22)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 6324, 6328, 6336, 6348, 6364?\n\"Answer: 2*h**2 - 2*h + 6324","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -62 = -3*k - 2*x + 84, -5*k + 4*x = -258. Suppose -5*r + 0*r = 5*b - k, -r + 9 = 2*b. Is r a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = -w**3 + 15*w**2 + 2*w - 9. Suppose 62*u - 75 = 47*u. Calculate the remainder when s(u) is divided by 84.\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 116, 233, 350, 467, 584, 701?\nAnswer: 818","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = k**3 - 79*k**2 - k + 84. Let t be g(79). Solve 5*d = t*w + 20, -4 = -4*w - 20 for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m + 0*m - 3 = 2*l, -5*l - m - 12 = 0. What is the remainder when (-4)\/(-6) - 232\/l is divided by 40?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g + 56 = -7. Suppose -4*q + 65 = -g. List the prime factors of q.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -0.5 (b) -0.2 (c) 0 (d) 1\/8\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 318 = -111*h - 1347. Let p(k) be the second derivative of -k**3\/6 - 8*k**2 + 14*k. Give p(h).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 258 and 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 988659.\nAnswer: 3, 7, 5231","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0.01 + 0.49. Let v = c - -1.9. Let d = v - 0.46. What is d rounded to one dp?\nAnswer: 1.9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = 10*n + 5. Let k be j(16). Suppose -3*z = 57 - k. Does 3 divide z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 874, 1191, 1512, 1831, 2142?\nAnswer: 2439","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3899196?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 206, 192, 166, 122, 54, -44, -178?\n\"Answer: -l**3 - 7*l + 214","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -4035325*s**6 - 14272570*s**2.\nAnswer: -484239000*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 3 + -21?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 595 minutes before 1:44 PM?\nAnswer: 3:49 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 94527643 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 33028, 33060, 33108, 33178, 33276, 33408, 33580, 33798?\nAnswer: 34068","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i + 3*u = 0, 3*i - 3*u + 0 = 15. Suppose 0*k - 652 = -4*k - 5*y, 0 = -3*k + i*y + 516. Does 12 divide k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) be the second derivative of 9*u - 1\/3*u**3 + 0 + 0*u**2. Let y(p) = 7*p**2 + 4. Let n(k) = -7*k**2 - 5. Let d(h) = 4*n(h) + 5*y(h). Determine d(b(j)).\nAnswer: 28*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -4180805 rounded to the nearest ten thousand?\nAnswer: -4180000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = d**2 - 4*d + 1. Let i(c) = -11*c**2 + 130*c - 16. Calculate i(l) + 14*p(l).\nAnswer: 3*l**2 + 74*l - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f - 93 = a, 0*a - a + 229 = 5*f. Let m = -22 + f. Suppose -2*d + m = 4*k, k = 3*k + 6. Does 9 divide d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((742\/(-1484))\/((-2)\/20))\/50.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ggggggggggxgggxx. Give prob of sequence ggx.\nAnswer: 39\/280","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 213071892 and 472.\nAnswer: 236","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2802 + 602 + 936 + (-2 + 4 - 4)*(4 - 2 - 1) + 3 + 3 - 4)*((3 - 7 + 3)*(-1 + 1 + 2*q) - 4 + 4 - q).\nAnswer: -13020*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = -s**3 - s**2 + 9*s + 8. Let v be y(-4). What is the greatest common divisor of v and 140?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from aqataaaaaqqqaqq. What is prob of sequence qata?\nAnswer: 2\/195","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -47\/88857 and -187\/16171974.\nAnswer: 16171974","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = -5*r - 6. Let n(f) = -6*f - 155. Calculate l(y) + n(y).\nAnswer: -11*y - 161","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put -27, 0, -5 in decreasing order.\nAnswer: 0, -5, -27","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 215 and 15?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 2\/14 + (-34)\/(-7). Do 4 and d have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 29\/38446844 and -95\/1112?\nAnswer: 76893688","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -4 (b) 5 (c) 86\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = -2*l + 3*l. Suppose x + 4 = -2*t - 19, -5*t - l*x - 56 = 0. Calculate the remainder when 22 is divided by 0 - (-1 - 1) - t.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 14531 by -4146.\nAnswer: -14531\/4146","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) be the third derivative of -k**8\/224 - 11*k**7\/210 - 7*k**6\/240 + 428*k**2. Factor j(x).\nAnswer: -x**3*(x + 7)*(3*x + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 6184?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*a - 45*d = -41*d + 4, 16 = 4*a - d for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = -b**2 + 7*b - 5. Let y = -102 + 109. What is x(y)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(9\/2)\/i*i)**(1\/18)\/(i\/(i\/(i**43*i)))**(2\/157) assuming i is positive.\nAnswer: i**(-195\/628)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h**(-1))**(6\/11)\/(h**(-2\/13)\/(((h**4*h)\/h*h)\/h)))**25 assuming h is positive.\nAnswer: h**(12900\/143)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = 4 + 4*k**2 - 3 - 3 + 1. Let j be l(-1). Solve 22 = j*m + 4*w, -m + 7*w = 2*w + 18 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 134308901?\nAnswer: 1499, 89599","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -4\/5 or -16094.1?\nAnswer: -16094.1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fffq when four letters picked without replacement from fffqqfqf?\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 136445 to the power of 1\/8, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = 4*y - 6. Let a = -50 - -32. Let v be (-1*(a + 1 + 3))\/(-2). Let z(w) = 3*w - 5. Determine v*z(l) + 6*f(l).\nAnswer: 3*l - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*d**3 + 20765 - 20765 + d**3.\nAnswer: -4*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -28058, -223948, -755634, -1791014, -3497986?\nAnswer: -6044448","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 6\/7 in -0.5, -0.1, 0.03, 2?\nAnswer: 0.03","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round 10.283 to 0 decimal places.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -23 + 70 + 10 + 4.\nAnswer: 61","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -10 + 10011010010?\nAnswer: 10011010000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-12)\/330*-11)\/((-1)\/15).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 266 is divided by 45?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00479828 to three decimal places.\nAnswer: 0.005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + (-2 + -3 + 1 + sqrt(200) + 0 + sqrt(200)*-2)**2.\nAnswer: 80*sqrt(2) + 221","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = 8*n**3 + 34*n**2 + 3*n - 5. Give s(-6).\nAnswer: -527","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 301 + 20?\nAnswer: 321","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -4bd (base 14) in base 7?\nAnswer: -2526","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 3198659?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) be the third derivative of 5\/24*r**4 + 2 + 0*r + 0*r**3 + 1\/12*r**5 + r**2. Factor y(q).\nAnswer: 5*q*(q + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1.9368 - -4.\nAnswer: 2.0632","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 81 = 5*l - 189. Let u = l + -111\/2. Which is the third biggest value? (a) 3\/8 (b) -0.2 (c) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i - 2*i = 9, 3*u - 4*i = 54. Suppose -h + 0*h = -4. Suppose 6 = h*q - 10. Calculate the remainder when u is divided by q.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = -q**2 - 3*q + 19. What is j(0)?\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is w in 4*w**3 - 108*w + 216 = 0?\nAnswer: -6, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -324*a*b**2 + 3006*a*b*l + 11*a*b - 772*b**2*l**2 - b*l**2 + 2*b*l - 3*b wrt b?\nAnswer: -648*a - 1544*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-1)\/10*2*2. Which is the second smallest value? (a) 3 (b) s (c) -2 (d) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ud when two letters picked without replacement from {n: 3, d: 2, u: 1, p: 5, e: 8}?\nAnswer: 1\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 1392 at most as big as 1391?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + (-1*-1*sqrt(288) - (1 + 3*sqrt(8)\/sqrt(4))))**2.\nAnswer: -90*sqrt(2) + 187","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 144.4 + -144. Sort 0.11, -2\/7, g, 2\/19 in increasing order.\nAnswer: -2\/7, 2\/19, 0.11, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 380, 376, 368, 356, 340, 320, 296?\nAnswer: 268","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 513090?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 32147850 and 1631706?\nAnswer: 10806","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -4257*g**6 + 23*g**4 - 2*g**3 - 1976*g**2 - g + 30 wrt g.\nAnswer: -510840*g**3 + 552*g - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = 59*r + 11512. What is i(-195)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 42289 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -9490 or -9267?\nAnswer: -9490","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does 130 divide 19873?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (0 + 2)\/(-5 + 1) + -21 + (-1827)\/42.\nAnswer: -65","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l + 25 = 0, 2*l + 10 = -0*h + 4*h. Let k be h*(4 - 13\/3). Solve k = -2*m + 2*f + 8, m + 8 = -0*f - 5*f for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (x - x + 2*x**3)*(5 + 2 - 2)*(-1 + 1 - 2*x)*(x + 3*x - 3*x).\nAnswer: -20*x**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(2) - (-1 + sqrt(2))) + -2 - (sqrt(450) + sqrt(50)).\nAnswer: -20*sqrt(2) - 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 597586 to the nearest integer?\nAnswer: 84","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Does 1921 divide 47039527?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1251319541 and 163?\nAnswer: 163","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*g - 5*r = 95, 4*g - 81 - 53 = -4*r + 14 for g.\nAnswer: 35","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 5773541 to the power of 1\/3, to the nearest integer?\nAnswer: 179","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/19, 75, -620 in descending order.\nAnswer: 75, 2\/19, -620","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -122 + 4?\nAnswer: -113","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*k = 5*y - 10, y - 127 + 147 = 4*k for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o - 5 + 30 = -4*a, 0 = 4*o - 4*a - 20. Calculate the remainder when 6 is divided by o.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1 + 0 + 3)*(42*b - 104*b + 48*b + 5*b + 7 - 7 + (4 + b - 4)*(3 + 1 - 6) + 3*b - b - 4*b) as q*b + k and give q.\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*w = -r + 39, 4*r = 103*w - 102*w - 12 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) be the first derivative of -3*z**3\/4 - 15*z**2\/2 + 96*z - 9124. Factor c(v).\nAnswer: -3*(v - 4)*(3*v + 32)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -20 - -302. What are the prime factors of f?\nAnswer: 2, 3, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1008 and 69888?\nAnswer: 336","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {o: 14, w: 1, z: 2}. What is prob of picking 1 z, 2 o, and 1 w?\nAnswer: 13\/170","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 22388 and 116.\nAnswer: 116","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-18)\/5)\/(14\/70). Let q = x + 22. What are the prime factors of ((q\/(-6))\/1)\/((-27)\/2835)?\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -3 - -130024?\nAnswer: 130021","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1746080 and 12260.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = -2*a**2 - a. Let p(q) = -2*q**3 - 6*q**2 - 3*q + 6. Determine -p(c) + 4*w(c).\nAnswer: 2*c**3 - 2*c**2 - c - 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor c**3\/2 - 27301*c**2\/2 - 5576008*c - 565237410.\nAnswer: (c - 27705)*(c + 202)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = -2*k - 56. Let s be c(-30). What is the nearest to -1\/3 in 2, s, 0.9, 2\/11?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = 11*w**2 + 2*w - 1. Let t be s(1). Let p = -13 + t. List the prime factors of p + (-2)\/(-3)*21.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = d**3 + 7*d**2 + 5*d - 4. Let v be o(-6). Let k = v + -1. What is the units digit of k?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h - 22 = 3*o, 3*o = 5*h - 22 - 33. Solve 4*d + h = 3*r, 6*r - 8*r - 2*d = 2 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 111 - 111. Solve -5*c - 25 + 0 = f for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 23 take away 22358.647?\nAnswer: -22335.647","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 = -2*t - 3*d, -d + 6*d = -5. Suppose 4 = 4*b - 2*q, 3*b + 0*q - 2 = q. Solve b*r - 3*r = -3*j + 3, 0 = 3*j - t*r - 3 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f = -m + 97 + 61, -5*f - 146 = -m. Is 23 a factor of m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -39, -57, -81, -111, -147, -189, -237?\n\"Answer: -3*z**2 - 9*z - 27","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 65328 to the power of 1\/2, to the nearest integer?\nAnswer: 256","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 2\/3 (b) -0.2 (c) -1 (d) -182 (e) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c + 150 = -146. Suppose 4*f + 5*x = 32, 0 = -2*f + 7*f + 2*x - 23. What is the second derivative of u**f + c - 74 + 4*u wrt u?\nAnswer: 6*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25 = 2*w - 4*v - 7, -3*w - v = -34. What is the remainder when 33 is divided by w?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -4\/55 (b) 0.3 (c) 3004 (d) -29\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j + 70 = 4*d - 3*j, 4*j - 40 = -4*d. Suppose -2*c - c = d, 3*v + 17 = -4*c. Suppose -5*g + v + 119 = 0. Does 11 divide g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is eighty-nine halves of a gram in milligrams?\nAnswer: 44500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-38)\/3)\/(12\/(-18)). Let w be -7 + -4 + -2 + 2. Let a = w + h. What is the units digit of a?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*m**5 + 5*m**5 - 2*m**5)*(2 + 0 + 0 + (-14 + 33 + 12)*(-5 + 3 + 1)).\nAnswer: -87*m**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:11 PM and 1:00 AM?\nAnswer: 709","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from yukqpsuuppuu. What is prob of picking 1 k and 1 y?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = -2*f**5 + 2*f**4 - f. Let j(x) = 13*x**5 - 12*x**4 - x**2 - 7*x. Let i(y) = -j(y) - 4*k(y). What is the third derivative of i(o) wrt o?\nAnswer: -300*o**2 + 96*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 17\/2 of a litre?\nAnswer: 8500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 3093710 to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is fifteen quarters of a tonne in kilograms?\nAnswer: 3750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 179 - -1308. What is the tens digit of o?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-5 - 152\/(-16))*(-18)\/9?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 33647381?\nAnswer: 33647381","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 4? (a) 0.3 (b) -144.5 (c) 1\/3 (d) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 15615 to the nearest integer?\nAnswer: 125","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 8 - 0. Suppose 5*t - 2597 = 12*t. Let d = -219 - t. What is the least common multiple of d and u?\nAnswer: 152","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -8 or -58.4?\nAnswer: -58.4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -2*l**2*z - 3*l**2 + 30*l*z + z + 7 wrt l.\nAnswer: -4*l*z - 6*l + 30*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (3 - 3\/(-6))*-2. Which is greater: u or -9?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-3)\/2*(-7 + 1 - -2). Suppose -z - 80 = -i*z. Suppose 19*b - z*b - 201 = 0. What is the units digit of b?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-6)\/(-5))\/((-4)\/(-10)). Let a = -1.5 - -1. Let f = a - -0.8. What is the closest to -2 in 0.2, l, f?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-8)\/130*(-7235)\/(-2894)\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/25? (a) 0.06 (b) -99\/2 (c) -2\/11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -3.255709723+-25.922\nAnswer: -29.177709723","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1144539, 2289274, 3434011, 4578750?\nAnswer: 5723491","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -d**5\/3 - 569*d**4\/3 - 77720*d**3\/3 + 925100*d**2\/3.\nAnswer: -d**2*(d - 11)*(d + 290)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*q + 4*h, 0 = -2*q - 2*q - 5*h + 26. Let z = 4 - q. What is the units digit of (-16 + 2 + z)\/(-2)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = p - 41. Let a be q(36). Put a, 5, 2\/5, 0.2 in decreasing order.\nAnswer: 5, 2\/5, 0.2, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 352571814 by 100134.\nAnswer: 3521","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 4 + 5)*((2*l**3 - 2*l**3 - l**4)*(0*l - l - l) + 242*l**5 + 92*l**5 - 73*l**5).\nAnswer: 1578*l**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-10 + 2 + 7)*-7 - (-144)\/(-21)?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 64764417 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) be the first derivative of -2*j**3\/3 - j**2\/2 + j - 767. Let y(v) = -v - 3. Let n be y(-4). Calculate f(n).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -3, -60, -117?\nAnswer: -174","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 109 divide 94751411?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 313117.6 centuries?\nAnswer: 3131176","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (15\/78)\/((3995\/(-204))\/(-47)) - (-192576)\/1534?\nAnswer: 126","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 - 2*l - 5)*((1 + 0 + 0)*(1 + 2 - 1) - 1 + 1 - 1 + (-1 - 2 + 4)*(3 + 1 - 3) - 2 + 0 + 4).\nAnswer: -8*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = 9*z + 70. Let u be i(-7). Solve 4 = -u*k + 5*k for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 5 (b) 0.1 (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = 1. Let p(u) = 15*u**2 - 1. What is -6*b(n) - 6*p(n)?\nAnswer: -90*n**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor j**2\/3 - 58*j\/3 + 112\/3.\nAnswer: (j - 56)*(j - 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = -43*s**2 - 1428*s - 255. Give d(-33).\nAnswer: 42","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 338 + -324 - ((5 - -2) + (7 - 10))?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) be the third derivative of -1\/6*c**3 + 0 + 5*c**2 + 1\/8*c**4 + 2\/15*c**5 + 0*c. Is t(-3) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -46559464*q**5 - q**2 + 1154156*q wrt q.\nAnswer: -2793567840*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) be the second derivative of 90*b**5 + b**3\/3 - 3433*b**2\/2 + 511*b + 3. Find the first derivative of c(a) wrt a.\nAnswer: 5400*a**2 + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (1 - -1) + 53 + -9. Let j = s + -36. What is the lowest common multiple of 18 and j?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2049*-0.1.\nAnswer: -204.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in fifty-three fifths of a century?\nAnswer: 1060","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (15\/(-5))\/(81\/12354). Let d = p + 16901\/36. Calculate the common denominator of d and 17\/60.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in -1, -39, 1.5, 16, 3, 1\/3, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) be the second derivative of -9*w**5\/20 - w**4\/3 - 5*w**3\/6 - w**2 + 8*w. Let v(j) = -4*j - 7. Let a be v(-1). Is m(a) a multiple of 32?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = 2*x**2 - 19*x + 1. Is h(14) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3 (base 5) to base 12.\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) be the first derivative of m**5\/5 - m**3 - m - 2. Let c(q) = -2*q**4 + 2*q**2 + 1. Let f(p) = 3*c(p) + 2*r(p). Find the first derivative of f(x) wrt x.\nAnswer: -16*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 + -11 + 1 + 11 - 8?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) be the first derivative of -6*b**7\/7 - 14*b**3\/3 + 9. What is the third derivative of n(g) wrt g?\nAnswer: -720*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 4 and -0.0403.\nAnswer: -0.1612","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1 + 1. What is the first derivative of 1 + 3*g**2 - 4*g**x - 3*g**2 wrt g?\nAnswer: -8*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -33 + -5. Let m = -26 - c. Solve 0 = -0*k + 3*k - m for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0*((-27)\/(-18))\/((-3)\/(-2))?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 475\/6 + -79. Let d(o) be the second derivative of 0*o**2 - 1\/12*o**4 - 3*o + 1\/30*o**6 - c*o**3 + 1\/20*o**5 + 0. Let d(g) = 0. Calculate g.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -46427184 to the nearest one hundred thousand.\nAnswer: -46400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 21886745?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 121 + -117. Suppose 5*p = -2*h + 497, -h - 1268 = -6*h - k*p. Calculate the highest common factor of 32 and h.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many days are there in 4\/7 of a week?\nAnswer: 4","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 44*b**6 - 62871*b**4*n - 22*b**2*n - 185*b wrt b?\nAnswer: 5280*b**3 - 1508904*b*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = -38*k**2 + 74*k + 12. Determine j(2).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 1 - f**2)*((-f + 0*f + 0*f)*(-f - 1 + 2*f - 1) + 79*f**2 + 31*f**2 - 15*f**2).\nAnswer: -94*f**4 - 2*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o = c - 19, 0 = 3*c + c - 4*o - 44. Let p(j) = -2 + c - 3 + 3*j + 2*j**2. Give p(-3).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 445\/2 + -224. Which is the closest to 1\/3? (a) 0.1 (b) 5 (c) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14928 a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 10901 (base 12) in base 11?\nAnswer: 15610","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = 35*t**2 + 865*t + 83. Is g(-66) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.5*-222\nAnswer: 111","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from xexqeeex. Give prob of picking 1 e and 2 x.\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 78, 151, 236, 339, 466?\nAnswer: 623","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 337 - 337.3. Let v be ((-16)\/(-60))\/((-2)\/5). Put k, -1\/4, -4, v in decreasing order.\nAnswer: -1\/4, k, v, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -829840 divided by 1.\nAnswer: -829840","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 58855?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 396 = 5*a - 174. Suppose 3*j = -0*j + 5*x + a, 4*j = -5*x + 187. What is the units digit of j?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 22185.15 millimeters in nanometers?\nAnswer: 22185150000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -864221 + 432104 + 432117 - 17*y**2.\nAnswer: -17*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*o**2\/7 + 396*o\/7 + 112.\nAnswer: 2*(o + 2)*(o + 196)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*t = -4*c - 31, 5*t + 13*c = 15*c + 33 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = 5*c + 104. Let t be k(-10). Suppose -t*j = -46*j - 2104. Is 16 a factor of j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = x**2 - 18*x - 67. Does 48 divide l(31)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = -2*f**2 - 1 - 2 - 5*f**3 + 0*f**3 + f. Let n(u) = u**3 + u**2 + 1. Let v(m) = m**2 + 4*m - 2. Let b be v(-5). Calculate b*n(r) + a(r).\nAnswer: -2*r**3 + r**2 + r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t*t**(-12))\/t)\/t**(3\/2)*t*t*t**14*t*t*t*t*t*t\/(t\/(t\/t**(3\/5))) assuming t is positive.\nAnswer: t**(79\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence iop when three letters picked without replacement from {p: 11, o: 3, i: 4}.\nAnswer: 11\/408","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*v - 4 - 0. Let i be 0 + v + (4 - 1). Suppose i = -2*p + 2*t, -31 + 3 = -p - 5*t. Is p a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-14 - -6 - -6) + 1 + -4\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*g**3 - 636*g**2 + 47914*g - 47280.\nAnswer: 2*(g - 197)*(g - 120)*(g - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 2221 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:22 AM and 6:05 PM?\nAnswer: 643","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 c and 3 n when four letters picked without replacement from {k: 2, n: 3, c: 10}?\nAnswer: 2\/273","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round -1134.30456 to the nearest one hundred.\nAnswer: -1100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 + 16 = 4*n. Is 17 a factor of 4\/(-2) + 144\/n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*o + 14 + 14. Let p(f) = -2*f + f**2 + 7*f - 2*f**2 + 18*f + o. What are the prime factors of p(16)?\nAnswer: 7, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -60 or 3441397?\nAnswer: 3441397","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert ad (base 14) to base 15.\nAnswer: a3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 47, 1 in decreasing order.\nAnswer: 47, 3, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -54*j = -5417419 - 4739675 - 4737564. Is j a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i + 6*y = 3*y + 19, -y = -4*i - 23. Let g be ((-2)\/3)\/((-56)\/63). Which is the biggest value? (a) g (b) i (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 (base 10) in base 9?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 57\/10 and 167\/126.\nAnswer: 630","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1783*i - 4235*i + 380*i - 6167*i - 10502*i.\nAnswer: -18741*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-3 - 0) + 3 + 0. Suppose -q - q - 1180 = y. Round q to the nearest one hundred.\nAnswer: -600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7*g - 4*g + 5*g)*(1803 - 1803 - 17*g).\nAnswer: -136*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 greater than -2\/13897829?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 141 a factor of 1293111?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = -5 + 3 - 2*i - 3 - i**3 - 6*i - 7*i**2. Suppose 5*q + 5*f = 125, -f = -2*q + 4*f + 29. Suppose k + q = 16. Give p(k).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4196737 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 63 divide 3262833?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14 = 23*x - 28*x + 2*q, -4*x = 3*q + 2 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 608 + -283. Does 39 divide a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 2518831 and 315.\nAnswer: 113347395","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does 143 divide 97612944?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in three fifths of a century?\nAnswer: 6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = -2*h**2 - 70*h + 470. Calculate f(6).\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -8*(-11)\/(55\/10). What is the common denominator of 11135\/(-11220) - 2\/h*-2 and 82\/(-10)*2\/(-4)?\nAnswer: 330","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*w**2\/8 - 939*w\/8.\nAnswer: 3*w*(w - 313)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 93409864?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -1 + -3 + 92\/16 + 15\/(-20). Is 2\/17175 != q?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = 4*y. Let u be ((-340)\/(-28))\/5 + (-3)\/7. Suppose 3*r + 2*r = -15, -2*r - 48 = -u*q. Let f(z) = -48 + 7*z + q + 27. Calculate f(l(p)).\nAnswer: 28*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5862.\nAnswer: 2, 3, 977","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -47*b + 50*b = 60. Suppose -23*l = -b*l - 6. What is the third biggest value in -0.2, -5, l?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 608 divided by -4.\nAnswer: -152","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -6 - 1050782?\nAnswer: -1050788","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 277 + -269. What is the greatest common factor of 88 and n?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -284*y - 207 = -775 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g*g**4)\/g**(3\/10))**(3\/19) assuming g is positive.\nAnswer: g**(141\/190)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.2 and -16849.347?\nAnswer: 3369.8694","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0004291265 rounded to five decimal places?\nAnswer: 0.00043","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -64 or -6697\/2?\nAnswer: -64","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put -3883, -11, -4 in decreasing order.\nAnswer: -4, -11, -3883","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1053575257.\nAnswer: 7, 150510751","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5*1*((-21)\/(-6))\/7?\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1112332 (base 6) in base 4?\nAnswer: -31233200","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 261, 399, 551, 723, 921, 1151?\n\"Answer: k**3 + k**2 + 128*k + 131","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:22 AM and 3:53 AM?\nAnswer: 91","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert 37 (base 10) to base 2.\nAnswer: 100101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1.01 - 0.01. Let j = t - 2. Which is the biggest value? (a) 2 (b) 0.1 (c) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s - z - 10 = 0, 2 = 3*s - 0*s - z. Let q be 4\/s*(-2)\/8. Let c be q + 13\/(-5) - -1. What is the closest to 0 in 0, -2, c?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is t in -15*t**4 + 372072*t**3 - 21825795*t**2 - 4380042*t = 0?\nAnswer: -1\/5, 0, 59, 24746","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -15 + 28 - 630\/49.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 1de - -5755?\nAnswer: 5933","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = -4*n + 6. Let b be 0\/n*2\/4. Suppose 5*u = b, 2*u = -5*j + 6 + 4. Solve -h + j*z + 9 = -2*h, 3*z = 2*h - 17 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = -m**2 + 3*m + 5. Calculate r(5).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 122*x + 3162*x**3 - 3538*x**3 - 122*x.\nAnswer: -376*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = -14*l - 200*l + 7 - 19*l + 6*l. List the prime factors of x(-1).\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify q**(1\/12)\/(q*(q*q**(-17)*q)\/q)*(q\/((q\/q**(-18)*q*q)\/q*q))\/((q\/(q*q*q*q**(-1\/8)*q))\/q) assuming q is positive.\nAnswer: q**(-25\/24)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1772652 is divided by 51?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence www when three letters picked without replacement from wdwwwwww.\nAnswer: 5\/8","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = -2*q**2 + 29*q + 27. Give c(16).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -34508915\/1727 + 19982. Which is smaller: 0 or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*v + v = 2*v for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 9802440 rounded to the nearest ten thousand?\nAnswer: 9800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -66 + 71. Suppose d*m + 4*n - 197 = 0, 0*m + 84 = 2*m - n. Suppose m*q - 39*q = 0. Is q greater than 5\/13?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ilqqruf. Give prob of picking 1 f, 1 u, and 1 i.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -870896 or -870895?\nAnswer: -870896","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1\/25)\/(3 + ((-150024)\/1080)\/47).\nAnswer: 9\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h + h + 3 = 0. Let k be (21\/(-2))\/(1\/(-2)). Calculate the greatest common factor of k and h.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x - 3*q = -182 - 102, 5*x - 719 = -3*q. Suppose -2*z + s + 56 = -3, 5*z - x = 5*s. Does 15 divide z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 211440.\nAnswer: 2, 3, 5, 881","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 3660027?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = -1 + 0*m + 0 - m. Suppose 120 = 18*p + 22*p. What is the lowest common multiple of p and f(-7)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = 947*h**2 + 19876*h + 19879. Calculate b(-1).\nAnswer: 950","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d + l - 29 = -0*l, 4*l - 144 = 5*d. Let x be (-3)\/(-4 + d\/(-8)). Calculate the greatest common divisor of x and 3.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 17280 + 496?\nAnswer: 17746","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -277.21 - -5?\nAnswer: -272.21","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 192*b - 195*b = m - 15492, 5*m + 10328 = 2*b. What is the units digit of b?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5870.\nAnswer: 2, 5, 587","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*f - 4*f - 108. Suppose 5*d = -4*s + 97, -8*s + 7*s + 22 = 2*d. Let w = s + f. Solve 5 = -2*v - w for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 624287054?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -53*f + 72 = -45*f. Solve -f - 3 = -4*m for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 74\/6*(-15)\/(-15)*(-3)\/1.\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (14\/4 + -1)\/(7\/14).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 141, 281, 421?\nAnswer: 561","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or -147\/2332?\nAnswer: -147\/2332","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -27.013 - -0.013. Let t = v + 35. Put t, 4, 0.5 in ascending order.\nAnswer: 0.5, 4, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1513 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 19081 is divided by 9494?\nAnswer: 93","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -7*12\/(-63) + -20*(-20)\/(-264). Let z = 0.1 - 0.1. Let s = z + -1. Put f, s, 3 in decreasing order.\nAnswer: 3, f, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 51 + -49. Solve 0 = j - 3*j - p for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 8380931?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (0 - 6 - -33) + 143 + -218.\nAnswer: -48","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 5 + -7. Suppose -4*v + 5 = -7. Let g be k - (-12)\/v - -2. Calculate the greatest common factor of 32 and g.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -0.2 (b) -30 (c) -5 (d) 1\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = 26 + 41 - 90 + 23 - h**2. Suppose -2*c = -10 - 2. Let x(k) = -3*k - k + c*k. Give o(x(p)).\nAnswer: -4*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 303.7 * 1\nAnswer: 303.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 5, j: 14}. What is prob of picking 1 a and 1 j?\nAnswer: 70\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:02 PM and 8:25 PM?\nAnswer: 443","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = f - 20. Let j be x(-5). Put -1, 4, j in increasing order.\nAnswer: j, -1, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (40\/(-16) - 2)\/(3\/8). Let m(u) = -u**3 - 11*u**2 + 12*u. Let k be m(z). Solve k = -6*t + t + 2*l + 10, -3*l - 10 = -5*t for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1.62252 + 0.34138. What is b rounded to 1 dp?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -3.544 - 72.076. Let b = -77.9 - x. What is b rounded to one dp?\nAnswer: -2.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 70949, 142244, 213539, 284834?\n\"Answer: 71295*o - 346","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) be the second derivative of 39*r**5\/20 + r**2\/2 - 11*r - 4. What is the first derivative of a(i) wrt i?\nAnswer: 117*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k - k + 6 = 0. Suppose -8 = -0*v + 3*v - 2*i, -v + 5*i - 20 = 0. Let z = v - -2. Solve -k*y - z*p + 10 = 0, -13 - 3 = -5*y + 4*p for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {r: 3, t: 2}. Give prob of sequence rtt.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = -j**3 - j**2 + 2*j + 21. Let b be m(-7). What is the highest common factor of 86 and b?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.175 + -5.825. Let q = 21\/40 + -7\/5. Let t = -29\/24 - q. What is the second biggest value in l, t, 2\/5?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 40060381.\nAnswer: 17, 37, 63689","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = 112*s**2 + 1342*s - 12. What is r(-12)?\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 58, 1, 4 in descending order.\nAnswer: 58, 4, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -0.7 (b) 533 (c) -4 (d) -0.5 (e) 0.2 (f) 9 (g) 1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-20)\/30*(-15)\/6. Which is the closest to 3? (a) -2\/19 (b) m (c) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 8035583?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 33 - 37. Does 3 divide (-4 - v) + -3 - -21?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*h - 870 = 93. What are the prime factors of h?\nAnswer: 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -1 (b) 3 (c) -4 (d) -10 (e) 1\/7 (f) -2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -13 + 64123?\nAnswer: 64110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort -9, 0, 1, 2 in decreasing order.\nAnswer: 2, 1, 0, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*c + 4 = 2*c. Suppose -4*g + 50360 = -f, 5*f - 50376 = -4*g + c*f. Is g\/54 + (-1)\/6 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -1, 3\/13, -22, 3, -4?\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = 11*k - 4. Let y be s(7). Let c = 153 - y. Let p be 10\/6*c*1875. Round p to the nearest 100000.\nAnswer: 300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -29 divided by 34090?\nAnswer: -29\/34090","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 19470615 - 19470615.128999992. Let o = y - -0.129. What is o rounded to seven dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 596 + -596. Which is the closest to q? (a) -29 (b) -2\/33 (c) -2 (d) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 117640 - 117640.143762. What is h rounded to two decimal places?\nAnswer: -0.14","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -286063\/5 - -56990. What is the smallest value in 4, k, -0.3, -0.2?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -0.03 and -640599090686?\nAnswer: 640599090685.97","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -7*1914\/1848*(2 - -2)\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -3a2 - -19?\nAnswer: -389","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 67927001 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*m**3 + 0*m**3 - 272*m**2 + m**4 + 0*m**4 - 10*m**4 + 8*m**4 to l*m**2 + h*m + j + o*m**4 + f*m**3 and give o.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 17 in 182, -2.44, -4?\nAnswer: -2.44","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6165581 is divided by 63?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*y - 236 = 254. What is the highest common divisor of 250 and y?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -1\/3 (b) 8\/13 (c) 6.3 (d) 2\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 51*z**4 - 629*z**3 + 1978*z**2 - 188*z + 863809?\nAnswer: 612*z**2 - 3774*z + 3956","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -4699 times -4862.4\nAnswer: 22848417.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -25 + 6. Let r = z - -14. Let k be (0 + -1)\/((-3)\/1). Which is the second smallest value? (a) k (b) r (c) 1\/23\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 450\/(-520)*(-2)\/(-3) and 125\/18.\nAnswer: 234","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from qnvqvyvnqyyynqqqqcnv. Give prob of picking 2 y, 1 q, and 1 v.\nAnswer: 56\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -88 - -91. Solve 25 = 5*z + d*q, -z = -3*z + 5*q + 10 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {k: 2, q: 6, r: 7}. What is prob of sequence rrqr?\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is -9\/67261 greater than -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 462665 or -0.1?\nAnswer: 462665","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*b - 5*b + 5*b)*(45 - 43 + 49*b + 128*b + 2 - 2 - b + (0 - 2*b + 0)*(3 - 1 + 0) + 0 + 0 - b).\nAnswer: -513*b**2 - 6*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*(1*sqrt(1715) + (sqrt(1260) + 1*sqrt(1260) - sqrt(1260))))\/(-5*(sqrt(405) - sqrt(405)*-1*2)).\nAnswer: -13*sqrt(7)\/27","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Work out -3 * -1368.4.\nAnswer: 4105.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 733 is divided by 139.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3234 divided by -539.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*b**3\/5 + 1606*b**2\/5 + 4804*b\/5 + 640 = 0 for b.\nAnswer: -800, -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 3 + ((-3)\/(-4))\/((-4)\/14). Let h be -2 + 3\/((-63)\/(-48)). Let p = -7 + 4. Which is the nearest to -1? (a) q (b) p (c) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 990978?\nAnswer: 2, 3, 23, 43, 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 10 (b) -3\/7 (c) 30 (d) -4\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -2 - -11. Suppose 0*y = y + d. What is the remainder when 15 is divided by 2\/3 + (-48)\/y?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 67 and 5?\nAnswer: 335","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (4\/(-30)*-9)\/((-21)\/10).\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -64 + 64. What is the second smallest value in -3, -5, t, -10\/7?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 7, h: 5, m: 1, o: 5}. Give prob of sequence mh.\nAnswer: 5\/306","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -67\/18 and -14\/3033?\nAnswer: 6066","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = -3*g - 2. Let a(d) = -d**2 + 12*d + 27. What is the remainder when a(13) is divided by u(-2)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 166610940.\nAnswer: 2, 3, 5, 2776849","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is -11\/19792 bigger than 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 574.57493 rounded to zero dps?\nAnswer: 575","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ee when two letters picked without replacement from lnnee.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many kilometers are there in 0.7409737mm?\nAnswer: 0.0000007409737","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -7 - 20. Let q be ((-16)\/(-14))\/(((-52)\/(-14))\/13). Is m\/108 - (-453)\/q composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (260\/(-10))\/(2\/(-19)). What is the highest common divisor of 13 and h?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/20 of a minute in seconds?\nAnswer: 3","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 443, 153, 1, 3, 0 in ascending order.\nAnswer: 0, 1, 3, 153, 443","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -2\/9 (b) 2\/9 (c) 0.2 (d) -1181\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (-20)\/(-180) + 54755\/9?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 162, 937, 2334, 4347, 6970?\nAnswer: 10197","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in -797, 0.2, 0.4?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*m**3*w**2 - 116*m**3*w - 29*m**3 - 3*m**2*w**2 - 2601*w**2 wrt w?\nAnswer: -4*m**3 - 6*m**2 - 5202","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = -70*x**2 + 2238*x + 64. Determine v(32).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/21? (a) -13 (b) -3\/4 (c) -2\/9 (d) -0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -22, -35, -16, 41, 142, 293, 500?\n\"Answer: i**3 + 10*i**2 - 50*i + 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 3 + -1. Calculate the lowest common multiple of ((-27)\/18)\/((-3)\/20) and h.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) be the third derivative of -1\/2*k**4 - 29\/30*k**5 + 0*k + 166*k**2 - 3\/20*k**6 + 2 + 0*k**3. Solve b(s) = 0.\nAnswer: -3, -2\/9, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 29*7\/(-35) + (-1)\/5\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) -0.2 (b) 0.05 (c) -2 (d) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 4\/(-8)*-5*-2. Let t be (4 + -8 - c) + 2. Sort -1, t, 1 in decreasing order.\nAnswer: t, 1, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d\/(d\/(d**(3\/8)\/d)))\/d*d*d**(2\/11)*(d*d\/(d*d**(-1\/2)*d*d))\/d*d*d**(-3\/11)*d*((d\/(d**(2\/9)*d)*d)\/d*d)**(-33)\/(d**(-2))**(-1\/8) assuming d is positive.\nAnswer: d**(-6899\/264)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in -0.3, 4, 1, 4\/509?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-150)\/(-9) - (-1)\/3. Let u be -1 + 0 + -3 + 0\/(-6). Let t = j + u. What is the units digit of t?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = -k**2 + 20*k + 8. Calculate g(19).\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 810, 771, 732, 693?\nAnswer: 654","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = -4*a + 4*p, 4*a + 2*p + 0 + 6 = 0. Is 34 a factor of (-306)\/15*(42\/(-9) + a)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from wwwwwttjwtqwwwqj. Give prob of sequence wwj.\nAnswer: 3\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 4840 and 1160?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -19\/1812 and 137\/583464?\nAnswer: 583464","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -85 - ((-3)\/(-5))\/((-1)\/(-5)). Let b = w + 190. Let s = b - 49. Calculate the remainder when s is divided by 14.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 10828329, 10828329, 10828331, 10828335?\n\"Answer: g**2 - 3*g + 10828331","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide 87 by 2.\nAnswer: 87\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -591*o**3*q**3 - 4*o**3*q**2 - 3*o**2*q**2 - 690*o*q**2 + 232*q**3 + 13*q**2 wrt q?\nAnswer: -3546*o**3 + 1392","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round -24528452 to the nearest 1000000.\nAnswer: -25000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-2*614)\/((-6)\/(-12)). Is (l\/(-32))\/((-1)\/(-4)) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 115914 to the nearest integer?\nAnswer: 340","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*y + 4*y + 0*y)*(-2*y + 4*y - 7*y)*(3 - 1 + 1).\nAnswer: -15*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2868 or 736775\/257?\nAnswer: 736775\/257","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = -w**3 + 6*w**2 + w + 2. Calculate the smallest common multiple of o(6) and (63\/6)\/((-1)\/(-2)).\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 231 minutes after 11:51 PM?\nAnswer: 3:42 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.730667 weeks to milliseconds.\nAnswer: 441907401.6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 648.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put together 9 and 456.\nAnswer: 465","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = -22*n - 7. Let f be t(5). Let i = -10639 + 10405. Let r = f - i. What is the tens digit of r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 168759, 675113, 1519045, 2700555?\nAnswer: 4219643","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -1 and 5.8.\nAnswer: -5.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 318019898 a multiple of 1769?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -12\/11 - -37\/44. Let d be 0 - (-2 + 1)*-18. Let t be 2\/(-8) - d\/40. Sort t, 0, g in descending order.\nAnswer: t, 0, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (1 + 0)\/((-1)\/(-19)). Let h(n) = -2*n + 107. Let k be h(w). Calculate the greatest common factor of k and 23.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = -2*f, 5*b - 2*f - 22 = -3*f. Suppose b*d + 12 = 0, -4*t + 5 + 25 = 2*d. Put 2, 1, t in descending order.\nAnswer: t, 2, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -5 - 508a?\nAnswer: -5094","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**15*(a\/a**(-4\/7))\/a)\/(a*a*(a\/((a*a**(-9)*a)\/a))\/a*a*a)**(-2\/5) assuming a is positive.\nAnswer: a**(713\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t + 3*g = -t + 8, t + 1 = g. Let j = t - -16. Suppose -39425 = -467*u + 24236 + 7323. Calculate the remainder when u is divided by j.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = 15*o**3 + 115*o**2 - 5*o + 10. Let j(v) = 23*v**3 + 172*v**2 - 8*v + 16. Let z = -48 + 40. Let q(b) = z*x(b) + 5*j(b). Factor q(k).\nAnswer: -5*k**2*(k + 12)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from llwlllw. Give prob of sequence lww.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence iio when three letters picked without replacement from xoxxoxxaxxxxixiaiixx.\nAnswer: 1\/285","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 2 (b) -3\/7 (c) -1\/3 (d) -373 (e) 1.51 (f) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 238, 196, 130, 40, -74, -212?\n\"Answer: -12*g**2 - 6*g + 256","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: (-10)\/(-27)*(-99)\/165\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 49 = -2*f + 9*f. Let o(k) = -5 + 2*k - k**3 - 8*k**2 - 2*k**2 - f*k**2 + 23*k**2. Determine o(6).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = 2*c**2 - 61*c + 200. Let o be b(27). Solve -o*x + 4*x - 21 = 0 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h = f + 6, h = 5*f + 3*h + 4. Suppose m + 4*u - 53 = -f, m + u = 41. Is m a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = -l**4 + l**3 - l**2 + 1. Let b(j) = j**4 - 10*j**2 + 4*j + 5. Let x(h) = 3*b(h) - 12*u(h). Factor x(f).\nAnswer: 3*(f - 1)**2*(f + 1)*(5*f + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) be the third derivative of -c**5\/60 + 17*c**3\/3 - 3*c**2. Let g be m(0). Suppose -1 + g = w. Does 18 divide w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -84405420*h**2*v**3 - 3331*h**2*v + 54*h**2 - 29*h*v**2 wrt v?\nAnswer: -506432520*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -809*s**4 - 5*s**3 - s**5 + 5*s**5 + 17*s**3 + 821*s**4 + 4*s**2.\nAnswer: 4*s**2*(s + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 102 to the power of 1\/4, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 136297302.\nAnswer: 2, 3, 61, 372397","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = 80*x**2. Let l(h) = 6*h**2 + 11*h - 11. Let r(w) = -2 - 2*w**2 + 0 + 2*w + 10*w**2 - 7*w**2. Let u(m) = 4*l(m) - 22*r(m). What is u(d(t))?\nAnswer: 12800*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -853\/224 + 131\/32. Let m = 3.07 - 0.07. What is the closest to -1 in r, 2\/3, m?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -2, -13\/5, -0.1, 0.4, -0.4?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 3 + -4.6. Let g = -3.9 - p. Let m = g + 2.2999979. Round m to 6 decimal places.\nAnswer: -0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify i*i**(-4\/11)\/i*i**(1\/4)*i assuming i is positive.\nAnswer: i**(39\/44)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor 6*v**2\/11 - 58*v\/11 - 20\/11.\nAnswer: 2*(v - 10)*(3*v + 1)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is (2\/2)\/(((-240)\/(-56))\/(-30))?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 64859 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -9 + 3 + 3 + 3 + (-888 - -890)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-1)\/4*0)\/(-2 - -6).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ttgtgtggtgtgggygtgt. Give prob of sequence yt.\nAnswer: 4\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Determine o, given that 8*o**3 - 60*o**2 + 36*o + 216 = 0.\nAnswer: -3\/2, 3, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 2 divide 35230?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -13103220 (base 5) in base 3?\nAnswer: -20112100111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -3 + (114\/(-62))\/(-3). Let a = 2521\/186 + v. Find the common denominator of -61\/10 and a.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of (-2)\/5 - (-235)\/25 and 8.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-52)\/(-455))\/(12\/(-60))?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = 5*h - 3. Suppose 8*y = 14*y - 126. Suppose 60*t + y = 81*t. What is q(t)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) be the second derivative of l**8\/28 + 11*l**7\/21 + 253*l**4\/12 + 115*l. What is the third derivative of w(f) wrt f?\nAnswer: 240*f**3 + 1320*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16 a factor of 27365?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in -6\/11, 4, 2, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence okkj when four letters picked without replacement from krkkkzkorkkrjrkoo?\nAnswer: 1\/340","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 47484 is divided by 169.\nAnswer: 164","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 30538692199 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 44723569, 89447152, 134170747, 178894360, 223617997, 268341664, 313065367, 357789112?\nAnswer: 402512905","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 100145?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = b**3 - 4*b**2 + b + 1. Let l be ((-2)\/1)\/(-1)*2. Let x be o(l). Suppose t + 0*t = -x. Put -4, -1, t in decreasing order.\nAnswer: -1, -4, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-8)\/(-52)*(-17 - -147)?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r - 10 = -3*u, 2*r = -3*u + 8*u - 6. Suppose 5*t = 3*a + 644, 8*t - u*a - 646 = 3*t. Does 19 divide t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 576019 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1200 and 8.\nAnswer: 1200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3 + -1 + -10 - (-33 + -48 - -26)?\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (0 - -81)*(-3)\/(-9). Suppose 5*b - g = g + 10, 3*b - a = -3*g. Solve 3*u + u - b*x - 8 = 0, -3*u = -4*x - 7 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 181*k = 383 + 564 + 682 for k.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 332392, 664782, 997172?\n\"Answer: 332390*y + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/30 of a minute in seconds?\nAnswer: 2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -6\/55 (b) -1 (c) -3 (d) 0.09\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is -236697 smaller than -236697?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -4 + 62?\nAnswer: 5a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-38)\/(-8) + (-7)\/(-28). Let p(m) = -m - 2*m + 2*m + 5. Let v be p(u). Solve v = 5*c - 0*c + 4*n - 32, -2*c + 5*n = 7 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 <= -4\/267185?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -389595, -779960, -1170325, -1560690, -1951055?\nAnswer: -2341420","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 29 a factor of 3824309?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 13351 in 0.3, 3, 0?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: (-34)\/(-10) + (-3)\/(15\/2)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 94576 and 157541?\nAnswer: 257","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) be the first derivative of -19*u**3\/3 - 531. Let y(k) be the third derivative of -1\/30*k**5 + 0*k + 0*k**3 + 0*k**4 + 5*k**2 + 0. What is z(y(h))?\nAnswer: -76*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-4068)\/103734)\/(5\/(-51)).\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {q: 2, n: 3, w: 5, f: 2}. What is prob of picking 2 f and 1 q?\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = 370*v - 93. Let n be p(5). Suppose 5*k - 35 = 10. Is n - 9\/(k\/(-2)) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-3510)\/3159)\/((-1)\/((-72)\/(-10))).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 at least as big as -2\/16097897?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b - b + 1505 = 5*r, -3*r = 2*b - 890. What are the prime factors of r?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0 - -2. Let w = -20 + 26. Factor 3*p - w*p + 1 + 5 - p**3 - 7 - 3*p**v.\nAnswer: -(p + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.15654 minus 5307.5?\nAnswer: -5307.34346","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 8 - 18. Let h = 69 - 39. Calculate the remainder when h is divided by ((-16)\/u)\/(4\/40).\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(sqrt(99)*-3 + -2))**2.\nAnswer: 576*sqrt(11) + 14320","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ttrtgrgvrhvy. What is prob of picking 1 t and 1 y?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 5564.112126993 take away 0.4?\nAnswer: 5563.712126993","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = -d**3 + 39*d**2 - d + 44. Let u(z) = z**3 - 9*z**2 + 13*z - 1. Let w be u(8). Let b be f(w). Solve 2*o = b*l - 2*l - 13, -4*o = -5*l + 23 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*m = 476 + 1001. What is the units digit of m?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 17722?\nAnswer: 2, 8861","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 x when three letters picked without replacement from {x: 14, t: 1}.\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 278 and 1251.\nAnswer: 2502","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10 divided by -10.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -k - 2*a - 4 - 2, 4*k + 5*a + 9 = 0. Let j(c) = -c**2 + 4*c. Give j(k).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = -5*g**2 - 6*g + 6. Let p = 40 - 27. Let z(b) = -11*b**2 - 13*b + 13. Give p*f(v) - 6*z(v).\nAnswer: v**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert 30 (base 7) to base 5.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 60 + -66. Let r = 121 + k. Let s = r + -58. Is 19 a factor of s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4*y - 820 + 793 + 5*y)*(-3*y - 2*y + 4*y) in the form a*y**2 + z*y + s and give a.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is -14478591 smaller than -14478597?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 12048411?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*z + 20, 5*i - 70 = 3*i - 5*z. Suppose 6*q + 3*q = i. Suppose -2*t + 187498 = t - b, -q*b = 4*t - 250010. What is t rounded to the nearest 10000?\nAnswer: 60000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = -6*h + 8*h. What is the first derivative of 14 + 31 + 2 - 61*g**h + 73 wrt g?\nAnswer: -244*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 199 a factor of 4926444?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*h + 9 + 7. Suppose i + 1 = -3*y + 14, 13 = 4*y - 3*i. Calculate the remainder when (-46)\/h + (-2)\/y is divided by 7.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 1164, 1209, 1260, 1317?\n\"Answer: 3*v**2 + 36*v + 1125","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = -18193869*x**2. Let j(z) = -2*z. What is f(j(k))?\nAnswer: -72775476*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 298 minutes after 7:16 AM?\nAnswer: 12:14 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round 2525189684 to the nearest 10000.\nAnswer: 2525190000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q = 2*r - 19 - 34, 0 = 3*r + 2*q - 32. Let l(j) = 2*j + 14. Let p be l(-4). Suppose i = 3*i - p. Solve 3*s = -f - 11, f = -3*f + i*s - r for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2*b**2*k - 170*b**2 - 110*k wrt k.\nAnswer: 2*b**2 - 110","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - 2 + 5 + 3*z)*(6886 - 15425 + 7287).\nAnswer: -3756*z - 1252","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*z + 3*p - 226, 3*z - 24564212 = 13*p - 24565232 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 4832 and 16912?\nAnswer: 33824","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 6c09 (base 15) in base 16?\nAnswer: 59af","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Product of -1767 and 0.049489.\nAnswer: -87.447063","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -311*g = -310*g - 108. Is 27 a factor of g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1 + 52*r**2 - 27*r**2 + 4*r**3 - 30*r**2 to x*r**2 + z*r**3 + y + k*r and give y.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*i**3 + 0*i**3 + 0*i**3 + (-3*i**2 - i**2 + 6*i**2)*(33 - 15*i - 33) - 2*i**3 - 3*i**3 + 7*i**3 + 2*i**3 - 3*i**3 - i**3.\nAnswer: -27*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h - 49 + 121 = 3*q, 2*q - 43 = 3*h. Sort 1, 5, q, -4 in decreasing order.\nAnswer: q, 5, 1, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 41070?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 1\/(-2) - (-75)\/10. Suppose -2*s + a = 3. Suppose w = -0 + s. Solve -9 = w*n + n for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 101 + -98. Which is the second smallest value? (a) y (b) -5 (c) 0.05\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*c = 6*q - 6, 0 = -c - 12*q + 7*q + 5 for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o + 2 = -o. Suppose o*u = 3*m + 207, 3*u - 4*m - 309 = m. Let k = u - 50. What is the remainder when k is divided by 20?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {c: 3, z: 11, y: 4}. What is prob of picking 1 y and 3 z?\nAnswer: 11\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*w**3 + w**3 - 4*w**3)*(5*w**2 + w**2 - 4*w**2).\nAnswer: -2*w**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1 + (-57)\/12)\/((-363)\/(-264)).\nAnswer: -30\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 27454 is divided by 914.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x*x*x**(2\/11)*(x\/((x\/(x*x**0*x*x))\/x))\/x*x)\/(x**0*x**19\/x*x))**(13\/2) assuming x is positive.\nAnswer: x**(-1833\/22)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -664*o + 30726 = 474*o for o.\nAnswer: 27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.187 less than or equal to -159505?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w + 5 - 1 = 0. Suppose -8 - 22 = -5*q. Let k(j) = j**2 - 7*j + 6. Let x be k(q). Which is smaller: w or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (2 + 7\/(-2))*2. Let u be (-8)\/s - (-2)\/(-3). Suppose 3*t - 3 = 2*c + 8, u*c - 7 = -3*t. What are the prime factors of t?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 221 is divided by 74.\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 400 minutes before 11:15 AM?\nAnswer: 4:35 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -3 - -1. Let v be (2*k\/13)\/2. Let s = 0.5 + -0.4. Which is the nearest to s? (a) -4 (b) 1 (c) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d**2\/7 - 4880*d\/7 - 4882\/7 = 0. What is d?\nAnswer: -1, 2441","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -0.144 * -1\nAnswer: 0.144","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1644344463, -3288688926, -4933033389, -6577377852?\nAnswer: -8221722315","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*n + 7 - 19 + 12 as q*n + g and give q.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3 + 1 - 5)*(2*l - 7*l + 3*l) - 3*l + 2*l + 2*l - 147*l - 166*l + 309*l - 11 to the form v*l + y and give y.\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7 (base 9) to base 7.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23 = 5*k - y, 9*k - 14*k + 3*y = 29. Let d(l) = l**3 - l**2 + 4*l - 4. Let u(p) = 2*p**3 - 2*p**2 + 7*p - 7. Calculate k*u(n) + 7*d(n).\nAnswer: -n**3 + n**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 849984 to the nearest integer?\nAnswer: 922","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 r and 1 l when three letters picked without replacement from {l: 6, c: 1, o: 4, r: 2}?\nAnswer: 3\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 210 + -3988\/19. Which is the biggest value? (a) 4 (b) -1\/5 (c) x (d) 3\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -451\/7? (a) 56.7 (b) 1 (c) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = -q**2 - 6*q + 1. Let r(w) = -5*w**2 - 25*w + 3. Let i(b) = 9*m(b) - 2*r(b). What is the units digit of i(4)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = -292*z**2 + 4*z - 2*z + 6 - 207*z**2. Let x be h(-2). Let g = x - 6. What is g rounded to the nearest 1000?\nAnswer: -2000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -0.7 and 2.638.\nAnswer: 1.938","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v**(-1\/2)*v*v)\/(v**(-1\/13)\/v*v))**(-4\/41)*((v**(-3)*v)\/(v\/(v\/(v*v\/(v\/(v*v\/(v*v**(-1\/8)))*v)))*v))\/(v**(-1\/2)*v)**(-2\/27) assuming v is positive.\nAnswer: v**(-11911\/2808)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 223 is divided by 69.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00030132 rounded to 6 decimal places?\nAnswer: 0.000301","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*c = -179*z - 1090, -268*z + 6*c = -263*z + 3*c + 42 for z.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = -w**3 + 9*w**2 + 11*w - 6. Let z be 11 + (2 + -3)*1. Let l be g(z). Suppose -8 = 4*v, 0 = l*i + 5*v - 74 + 8. What is the units digit of i?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13629117 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) be the second derivative of -6*u + 0*u**2 + 7\/20*u**5 + 0 + 0*u**3 + 2\/3*u**4. What is the third derivative of x(o) wrt o?\nAnswer: 42","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = 5*m - 3*m. Let t = m - 3. Which is bigger: -3 or t?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 16 + -26 + (0 - -2 - 5).\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-78)\/5)\/(3\/(-10)). Let n = -10 + 16. Is 4 a factor of (-2)\/n - g\/(-12)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7987*n + 162669*n + 167610*n - 83460*n.\nAnswer: 238832*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 514718 bigger than 1029435\/2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 divided by 30?\nAnswer: -1\/30","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(((-1*sqrt(208) - sqrt(208)) + sqrt(208))*5)**2.\nAnswer: 20800","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 21 - -9. Let x = -6 - l. Round x to the nearest 10.\nAnswer: -40","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.049285, 51, 1\/4 in descending order.\nAnswer: 51, 1\/4, -0.049285","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -15730 - -43129. Is (-132)\/(-286) - x\/(-39) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 h, 1 e, 1 z, and 1 n when four letters picked without replacement from {e: 1, t: 1, h: 1, n: 1, z: 1}?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4159*w - 140 = -4166*w. What is the remainder when 1298 is divided by w?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d - 16 = t - 5, 2*d + 46 = -2*t. Let q = t + 21. Suppose q*p + 31 = 3*v, -5*v + 72 - 17 = -5*p. What is the units digit of v?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = 38*l - 28. Let k(h) = -216*h + 160. Let u(s) = -40*a(s) - 7*k(s). Let d(w) = w - 3*w + 3*w. What is u(d(n))?\nAnswer: -8*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10*-17.\nAnswer: -170","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0, -233\/588, 19?\nAnswer: -233\/588","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-102*b + 83*b - 35*b)*(-b + 0*b + 0*b).\nAnswer: 54*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -32 = -3*t - t. Suppose 0 = 2*x + 4 - 2, -x = q - 46. Let h = q - 27. What is the greatest common factor of h and t?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = o**3 + 4*o**2 - 5*o. Let d be s(-5). Suppose -2*r + 3*z = -d*r - 35, 4*z + 77 = 5*r. Let n = 33 - 9. Calculate the remainder when n is divided by r.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is x in 2*x**5\/19 - 18*x**4\/19 - 1202*x**3\/19 + 11218*x**2\/19 - 30000*x\/19 + 20000\/19 = 0?\nAnswer: -25, 1, 4, 25","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = 4*d + 69. Calculate the remainder when k(-11) is divided by 17.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in -14, -0.3, -5\/6, -2\/17?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = i**3 - 13*i**2 + i - 8. Let h be l(13). Suppose 284 = 5*f - 5*m - 106, -h*f + 408 = 4*m. What is the units digit of f?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = -3*r - 11. Let v(c) = c. Let b(f) = -p(f) - 2*v(f). List the prime factors of b(13).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1998 and 222?\nAnswer: 222","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (-654)\/4*(24\/9)\/(-2)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -127 - -24577?\nAnswer: 24450","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = -o**2 + 18*o - 33. Let h be n(13). Suppose h = 142*k - 126*k. What is the lowest common multiple of 106 and k?\nAnswer: 106","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 3e - -4c?\nAnswer: 8b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 82*u + 1611 = 91*u. Calculate the remainder when 533 is divided by u.\nAnswer: 175","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 151192 < 150944?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g\/g**(-1))**(-28)\/((g\/((g**(-1\/7)\/g)\/g*g))\/(g**(3\/5)\/g)) assuming g is positive.\nAnswer: g**(-2049\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 3, 0.5, 0.3, 18?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 394?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -l = 2*v - 5, 5*v + 4*l + 0 - 11 = 0 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in 33\/4, 0.4, 601?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 278*t**2 + t - 40.\nAnswer: 556","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-3 + (-52)\/(-8))*2. Let w(s) = 6*s - 4. What are the prime factors of w(c)?\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 6, w: 1, e: 1, x: 1}. Give prob of sequence we.\nAnswer: 1\/72","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -2433.000002135 - -2433. What is c rounded to seven decimal places?\nAnswer: -0.0000021","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 16121816 is divided by 65.\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -135\/86 - -46\/43. Put -2, -5, q in increasing order.\nAnswer: -5, -2, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -23 + 17*a**3 + 12 + 11.\nAnswer: 17*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (34 - 34 - 10*i)*((-6*i - 2*i + 0*i)*(20*i - 22*i - 22*i) + 3 + 0*i**2 - 1 - i**2) + 3*i**3 + 4*i**3 - 5*i**3.\nAnswer: -1908*i**3 - 20*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 divided by 14?\nAnswer: -1\/14","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 (base 5) in base 16?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 22940 to the nearest integer?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 151 - 147 = 4*v for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 36691808 is divided by 9172948.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = -g**3 + 6*g**2 - g + 8. Let m = 11 - -19. Let t = m - 24. What is the units digit of v(t)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -5 by 617.\nAnswer: -5\/617","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 351595272.\nAnswer: 2, 3, 7, 2092829","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nx when two letters picked without replacement from zxnn.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -833, -781, -667, -461, -133, 347, 1009?\n\"Answer: 5*u**3 + u**2 + 14*u - 853","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 640c (base 15) to base 2.\nAnswer: 101001010101010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 30 + 218392?\nAnswer: 218412","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {l: 4, n: 5, k: 10}. Give prob of picking 3 k and 1 n.\nAnswer: 50\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y + 4*y = 15. Suppose 0*j - 4*j = -8. Let r = j + 6. What is the remainder when r is divided by y?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -3b + -2?\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d - 4 = -0. Find the third derivative of 39*c - c**d - 39*c - 4*c**3 wrt c.\nAnswer: -24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 80551649 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -241 (base 5) in base 6?\nAnswer: -155","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(80) - (sqrt(80) + 2*sqrt(80)))\/sqrt(8))\/(sqrt(2) - sqrt(98)*2).\nAnswer: 2*sqrt(5)\/13","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = -3*v**2 + 4*v - 3. Let g(u) = 4*u**2 - 6*u + 4. What is -5*g(l) - 7*o(l)?\nAnswer: l**2 + 2*l + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -20*2*(-16)\/80*2. Let p(z) be the second derivative of 1444*z**4 + d*z**2 + 7*z + 0 + 608\/3*z**3 + 130321\/15*z**6 + 27436\/5*z**5. Factor p(n).\nAnswer: 2*(19*n + 2)**4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4)\/3*2505\/8350.\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p = p. Suppose 0*k - x - 53 = -5*k, p = -2*k - 4*x + 30. Suppose 15*c = k*c. Solve 3*s = 8*s - 4*y, s - 4*y = c for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.46495 to three decimal places.\nAnswer: 0.465","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -718*n - 153*n - 1245 = 6594 for n.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-19 - -4)*(12\/(-9))\/2. Suppose 35 - 15 = z*f. Solve -f*d - 2 = -0*d for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h\/h**(-15)*h)**(-3\/5)\/((h\/(h**(-2\/27)*h))\/h**(-1\/19)))**37 assuming h is positive.\nAnswer: h**(-980056\/2565)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 369385961 to the nearest integer?\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand -b**3 + 5*b**3 - 2*b**3 + (2*b**2 - b**2 - 3*b**2)*(-1 - b + 1) + (-91 + 133 - 222)*(-b + 3*b + b)*(-2 + 2 + 2*b**2).\nAnswer: -1076*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 4100*d**4 + 7884.\nAnswer: 16400*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/7 in 0, -4, 11, 2\/15?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 235756 and 272?\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -152*h**5 + 338*h**5 - 1019*h + 194*h**5 + 6*h**3 - 5*h**3 wrt h?\nAnswer: 7600*h**3 + 6*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -42989 + 522989. What is d rounded to the nearest one hundred thousand?\nAnswer: 500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = w - 15. Let v be i(17). Put v, 0.04, 1\/3 in increasing order.\nAnswer: 0.04, 1\/3, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-6)\/(-4))\/(11\/2178). What is the greatest common divisor of k and 44?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t\/t**(-16)*t*(t**(-2\/49)*t)\/t*t*(t**11*t*t*t)\/t*t\/((t\/(t\/(t**(7\/5)\/t)*t))\/t)*t)**19 assuming t is positive.\nAnswer: t**(165528\/245)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-17)\/(-85) - 336\/(-9)*3\/(-10).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -10 (b) -106 (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -3 + 11 + -4 + 19. Let h(s) = -g - s**3 - s + 12 + 3*s**2 + 6*s**2 - s. Calculate the remainder when h(8) is divided by 20.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: (4 - (2 + 4 - 1)) + -2\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -411410 (base 5) in base 6?\nAnswer: -141455","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1*32\/(-128) + (-17)\/12?\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6787209 divided by 3.\nAnswer: -2262403","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = 5*d + 21. Let p(u) = 2*u. Calculate p(y(l)).\nAnswer: 10*l + 42","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p = -9 - 7. Let j be 4\/(2*14\/p). Let q be 7*5*(-1)\/(-35). What is the nearest to -2\/11 in q, 4, j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (10*c**2 + 66*c**2 + 133*c**2)*(0 + 1 + 0)*(-1 - 28*c**2 + 58*c**2 - 27*c**2).\nAnswer: 627*c**4 - 209*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = 10 + b**3 - 1 - 2*b**3 + 593*b**2 - 587*b**2 - 2*b. Calculate m(6).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-8 - 3879\/(-486))*(-13 + (-120)\/(-10))?\nAnswer: 1\/54","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0049416551 to 6 decimal places.\nAnswer: -0.004942","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g - 10 = -m, -4*m + 2*g = -55 + 3. Let x be (16\/m)\/((-2)\/(-7)). What is a in a**4 + 2 - 2*a**2 + 0*a**x - 1 + 0*a**4 = 0?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 9346332?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = -i**2 + 11*i - 11. Let p(m) = -m + 1. Let j(g) = 2*k(g) + 22*p(g). Let a(z) be the first derivative of -4*z**2 + 103. Calculate j(a(y)).\nAnswer: -128*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 16910190 divided by -49590\nAnswer: -341","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g = 5*g - 15. Suppose -g*n + 8 = -87. Is n a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 56261 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 40871 - 40898. Which is the fifth smallest value? (a) f (b) 9 (c) -5 (d) 8 (e) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b + 2 = -3*b. Let p be 34\/20 - b\/(-2). Are p and 0 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 9 - 32)*(3*z + 0*z - 2*z) - z + z - z.\nAnswer: -41*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*(-5 + (sqrt(242) + (sqrt(242) - sqrt(242)*4) - sqrt(242))*-1 - (sqrt(2) - (sqrt(242) + -3 + sqrt(242)) - sqrt(16)\/(sqrt(72)\/sqrt(9)))))**2.\nAnswer: -7920*sqrt(2) + 55026","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 75.82112 grams in nanograms?\nAnswer: 75821120000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i*i*i**2*i)**(3\/4)*(i*i**(-7))\/i**(-3\/4) assuming i is positive.\nAnswer: i**(-3\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 11545 is divided by 3356?\nAnswer: 1477","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -17 + -12 - (-125 + 61)?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 6023 to the power of 1\/4, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -n + 5 = -r, -4*n + 16*r - 15*r = -5 for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 372*p**2*z - 2*p - 29*z wrt p?\nAnswer: 744*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 263, 528, 793, 1058, 1323, 1588?\nAnswer: 1853","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = 4*j**2 - 2*j + 2. Let m(b) = b**2 - b + 1. Calculate -3*k(c) + 6*m(c).\nAnswer: -6*c**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 104379637?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 m and 2 a when three letters picked without replacement from {m: 3, a: 7}?\nAnswer: 21\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 2, v: 2, l: 3, f: 3, p: 3}. Give prob of sequence ef.\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1211\/5 or 243?\nAnswer: 243","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 113 - 108. Let w(d) = -d - 25. Let i be w(-5). Let k = i + 24. Solve x*j - 4*j = k for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00076732 to 4 dps.\nAnswer: -0.0008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -515 + 510. List the prime factors of (h\/10)\/(12\/(-24960)).\nAnswer: 2, 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1405?\nAnswer: 5, 281","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) be the first derivative of 1\/34*c**4 - 204 + 8\/17*c**3 + 28\/17*c - 27\/17*c**2. Find x, given that s(x) = 0.\nAnswer: -14, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) be the first derivative of -7\/4*l**4 + 0*l - 11\/2*l**2 + 0*l**3 + 7. Find the second derivative of u(x) wrt x.\nAnswer: -42*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (0 + 1)*(-144)\/(-6). Suppose -j + t = 3*j. Suppose 0*x = -2*x + j. Does 2 divide x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 10 + -6.6. Let s = -3 + f. What is the second biggest value in s, -3\/8, 1?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6.70651 + 63569632?\nAnswer: 63569638.70651","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 49 = 6*l - 23. Is 4\/((-16)\/(-38))*l a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -287 - -1071. List the prime factors of n.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 211 + -212. Is 3\/31 < b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 78 divided by -6?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 7354\/3920 + (0 + 1)*-1. Let m = b + -1\/980. What is the common denominator of 49\/36 and m?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -996 + 3985\/4. Factor t*k + k**2 + k**4 + 0 + 1\/4*k**5 + 3\/2*k**3.\nAnswer: k*(k + 1)**4\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = -3*l. Let h(a) be the third derivative of -a**4\/4 - a**3\/6 - 15*a**2. What is 2*h(m) - 5*i(m)?\nAnswer: 3*m - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*j + 12*j = 4*k - 86518, -3*j = -3*k + 64899. Is k a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/84 + 434\/49 + -9?\nAnswer: -1\/12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -1383107*n + 1058091 wrt n.\nAnswer: -1383107","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (38*u - 38*u - u**2)*(8*u + 4*u**2 - 8*u + u**2 + 4*u**2 - 3*u**2 + 5*u**2 - 3*u**2 - 3*u**2 + (-2 + 2 + u)*(2*u + 2*u - 2*u) - 9*u**2 + u + 837 - 837).\nAnswer: 2*u**4 - u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {k: 1, y: 3, t: 3}. Give prob of sequence ytt.\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 1, 6, 2.\nAnswer: -1, 1, 2, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9*o**2 + 4 - 7 + 66*o**2 + 3.\nAnswer: 57*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does 28 divide 11091?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 123 is divided by (4\/(-24))\/(11\/(-6798))?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (0 + 2 - -3) + (1 - 6)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4)\/3*(65\/4095)\/((-4)\/(-7))?\nAnswer: -1\/27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 12\/84 + (-3 - (-2421)\/840). Let j(r) be the third derivative of 0*r**5 - 6*r**2 + f*r**6 + 0 + 0*r**3 + 0*r**4 + 0*r - 1\/70*r**7. Factor j(k).\nAnswer: -3*k**3*(k - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -1 - (-1)\/((-4)\/(-8)) - -1. Solve -r + j*r = 0 for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (5*i - 6*i + 3*i)*((0*i**2 + 2*i**2 + 0*i**2)*(0 - 2*i + 0) + 23*i**2 + 19*i**3 - 23*i**2) to r*i + l*i**2 + u + w*i**3 + o*i**4 and give w.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 104 is divided by 93.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 42*n + 42*n + 31*n + 0 + n + 0 + (n + n - n)*(2 - 2 - 1) + 5*n - 2 + 2 to the form f*n + v and give f.\nAnswer: 120","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t**4*t)\/t**(-8)*t**(8\/5)*t**(-2\/33))**(1\/59) assuming t is positive.\nAnswer: t**(2399\/9735)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify n**18*n**(3\/16)\/n*(n*n*n\/(n*n\/n**(-7\/3)))**(-13\/4) assuming n is positive.\nAnswer: n**(1033\/48)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13 = -5*y + 3*c - 0*c, 5*c + 20 = 0 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b + 3*k = 5*k + 1, -23 = -4*b + k. Let m(z) = 5 - 2 + 6*z - 11*z**2 + 10*z**2. Give m(b).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*((((sqrt(891) + 0 - sqrt(891)) + 0)**2 - sqrt(891)) + -1 + sqrt(891)*-1).\nAnswer: -36*sqrt(11) - 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -103*k + 74183 = -72*k. What is the units digit of k?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -614*a + 613*a - 5 = 0, -4*c + 2*a = -538. Solve c = 8*q + 140 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 135 is divided by 62?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 106?\nAnswer: 2, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0.028 - 73.028. Let x = a - -74. What is the fourth biggest value in -0.1, x, 12, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (8\/42)\/((-132)\/154)?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = -w**2 + 17*w - 59. Let v be p(10). Let c(f) be the second derivative of f**4\/12 - 2*f**3\/3 + 15*f**2\/2 - f. List the prime factors of c(v).\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 592 and 31080?\nAnswer: 296","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 9 - (-12 + (-1 - -14))\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 1, z: 1, m: 1, x: 1, t: 2, o: 1}. What is prob of picking 1 z and 1 t?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2445, -2432, -2415, -2394, -2369, -2340?\nAnswer: -2307","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -25*j**3 - 6*j**3 + 119*j**3.\nAnswer: 88*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 492\/(-21)*(-8 - 9\/(-2)) even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 7\/8 of a micrometer?\nAnswer: 875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let -351*n**2 + 12*n + 348*n**2 + 3*n**3 - 15*n**3 + 3*n**4 = 0. What is n?\nAnswer: -1, 0, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8140132.\nAnswer: 2, 7, 11, 13, 19, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = -g**2 - 3*g - 2. Let j = 0 + 3. Suppose 21 = -j*v - 0*v. Let r = v - -3. Give w(r).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 171086*b + 175324.\nAnswer: 171086","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let 4*j**5 + 1712*j**4 - 1716*j**3 = 0. What is j?\nAnswer: -429, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*q + 28, 0*q = -5*r - 4*q - 61 + 13 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 12\/2193*(-23052)\/(-2712)?\nAnswer: 2\/43","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 365 - 365.0354. What is n rounded to three dps?\nAnswer: -0.035","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z - 5*p - 24 = 0, 5*z - p + 0*p = 40. Suppose -17*w = -z*w - 36. Solve -2*n - n + 3 = -3*u, 14 = w*u + 5*n for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 223 - 315*j**3 + 22 + 13 + 121 + 81 - 2*j wrt j?\nAnswer: -1890*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 2.7 + -9.7. What is the third smallest value in -5, -4, q?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) be the third derivative of 1\/12*u**4 + 0*u + 5*u**2 + 1\/360*u**6 + 1\/60*u**5 + 0 + 0*u**3. Let j(g) be the second derivative of f(g). What is j(2)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 12 and 51?\nAnswer: 204","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = -b, 3*b + 3 = -3*w - 9. Is 11 a factor of (w + 1 + 1)\/(-2) - -16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -11 + 26. Suppose 0 = 2*i + i - m. Solve w - 2*a + 4 = -4*a, i*w = 5*a - 5 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -261.9 - -250.9. Is c at least -8?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -5\/4506959 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1966300 is divided by 54?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pd when two letters picked without replacement from llallllpdcap?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -22*t + 30 - 8 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find f such that -2*f**2 + 76508*f + 76510 = 0.\nAnswer: -1, 38255","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*r + 30 = -h, 0 = -10*r + 65*h + 501 - 561 for r.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -3 + 14. Let h = s + -10.999932. Round h to five dps.\nAnswer: 0.00007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 = 6*n - n. Sort -14, n, -5 in descending order.\nAnswer: n, -5, -14","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.0674908 - 7.91903.\nAnswer: -7.9865208","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p*p*(p**(-2)*p*p)\/p*p)\/(p\/(p*p**(-1\/12))))**45 assuming p is positive.\nAnswer: p**(345\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2350138.\nAnswer: 2, 7, 23981","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p + 28 = p + 4*y, y = 5*p - 48. Let a = 3267 - 2004. Let t = a + -1260. What is the lowest common multiple of t and p?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -151d + 3?\nAnswer: -151a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*l + 42 = 24*l. Suppose 0 = -4*g - 2*n, -n + 4*n = -3*g - l. What is the second derivative of 58*w**g - 84*w**2 - 12*w - 11*w wrt w?\nAnswer: -52","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -9 - (-2 - 5) - (-4 - 3).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) be the second derivative of -2137*m**5\/20 + m**4\/12 - 617*m**3\/6 - 1203*m - 1. What is the second derivative of o(n) wrt n?\nAnswer: -12822*n + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 472 and 88?\nAnswer: 5192","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 195 and 312?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 46410101 or 46410111?\nAnswer: 46410101","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -221875, -887442, -1996697, -3549640?\n\"Answer: -221844*t**2 - 35*t + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -h - 4*v + 20, -5*v = -9*h + 5*h - 46 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 13 (base 7) to base 2\nAnswer: 1010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*(sqrt(704) + sqrt(704)*-1) - ((sqrt(704) - sqrt(704)*-5) + -2 + sqrt(704))**2) + 5.\nAnswer: -34495 + 224*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -32026*z**3 + 28851*z**2.\nAnswer: -192156","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + sqrt(1728) - (0 + sqrt(4800) + sqrt(48)).\nAnswer: -20*sqrt(3) + 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -20 - -36. Let v = z + -10. Solve -3*n + v + 3 = 0 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.07 + -0.09. Let q = -0.03 - t. What is q rounded to 2 decimal places?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 134\/6*(15 + -18). Let f = -37 - o. What are the prime factors of f?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 24 and 27923538.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((44\/14)\/11)\/((-1)\/119).\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 2835823346?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(320))\/(sqrt(10) - 1*sqrt(640)).\nAnswer: 4*sqrt(2)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (5\/(-15)*9)\/(-3)*-5.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 318 + -315. Let l(o) be the first derivative of 4 - 6*o - 15\/4*o**4 - 21\/2*o**2 - 3\/5*o**5 - 9*o**h. What is c in l(c) = 0?\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-8*n**4 + 6*n**4 - 4*n**4)*(-8*n - 8*n + 8*n).\nAnswer: 48*n**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -0.03 or -174?\nAnswer: -174","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = -4002*n + 46. Let a(u) = -2001*u + 18. Calculate 5*a(k) - 2*r(k).\nAnswer: -2001*k - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14*y - 5*y - 9 = 0 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from pcccqqepceeteb. What is prob of picking 2 e?\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*j + 8*j + j + (-1 - j + 1)*(1 + 2 - 2) + 1 + j - 1 + (1 + 2 - 1)*(0*j + 0*j - j) - 4*j + 3*j - j + (-27*j - 27*j + 87*j)*(-2 + 1 + 0).\nAnswer: -25*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (4 + -10)\/(6\/(-8)). Suppose -2*s = -4*t - p - 6, 4*s = -3*t + 6. Suppose -s*k + 22 + 8 = 0. List the prime factors of k.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-8)\/20 + 8\/20. Let h = 6 + -2. Let l = -4 - 1. Sort o, h, l.\nAnswer: l, o, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = 149*g - 305. Calculate t(2).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gg when two letters picked without replacement from ttgt.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1 by -335.\nAnswer: 1\/335","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7774.\nAnswer: 2, 13, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 10000110011111011 + 101?\nAnswer: 10000110100000000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*t**2 + 8*t**2 - 26*t**2.\nAnswer: -12*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-100)\/30)\/((-2)\/6). Let z(o) = 46*o + 5. Let w be z(i). Suppose -2*y + 2299 = w. Is y a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 189 and 58023?\nAnswer: 189","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-8)\/7 + (-2)\/(-14). Let m be 1*p\/((-4)\/4). Let i(y) = -1 + 0 + 2 - y. Let j(n) = -6*n + 2. Calculate m*j(q) - 4*i(q).\nAnswer: -2*q - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) be the first derivative of 0*y**2 + 37 + 0*y - 1\/3*y**3 - 1\/2*y**4 - 1\/5*y**5. Factor j(x).\nAnswer: -x**2*(x + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -11\/4, 0, 23630 in descending order.\nAnswer: 23630, 0, -11\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + ((-3 + sqrt(448) + sqrt(448))*2)**2 + 2.\nAnswer: -384*sqrt(7) + 7204","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -115 - -28?\nAnswer: -98","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 37354 a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*n + 8*n. Suppose 5*p + 2*k + 8 = n, -4*p + 5*k + 1 - 14 = 0. Sort 3, p, -3, -1.\nAnswer: -3, p, -1, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0.3, -1, -6, -1.8?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = 4*m**2 + 7*m + 7. Let s(q) = -q**2 - 2*q - 2. Let v(d) = 6*h(d) + 21*s(d). Suppose 0 = -4*n - n. Let t(z) = 0*z + n*z + 2*z. Determine t(v(x)).\nAnswer: 6*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -470474 - 470462 + q**3 + 940936.\nAnswer: q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 50133 a multiple of 51?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -95\/744 and 67\/4216.\nAnswer: 12648","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2724?\nAnswer: 2, 3, 227","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/8 of a centimeter in micrometers?\nAnswer: 3750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 48150 less than 4766878\/99?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 23559 is divided by 310?\nAnswer: 309","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ugrrgrrgkgrgrkgrv. What is prob of picking 3 g?\nAnswer: 1\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3445450.\nAnswer: 2, 5, 68909","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = -18*w**2 + 2 - 17*w**3 - 3*w - 2*w + 18*w**3 + 8. Let a be d(19). Suppose 0*h = -4*h + a. List the prime factors of h.\nAnswer: 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = 190493*q**2 + 212*q - 628. Is o(3) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 - (-1 + (-68)\/(-36)).\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) be the second derivative of u**6\/30 + 11*u. Determine s so that i(s) = 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 338?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -116959*s**2 + 105510 wrt s?\nAnswer: -233918*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*u + 54 - 48 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -1001122011122 (base 3) to base 13\nAnswer: -169721","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*f**2 - f**2 + 0*f**2)*(1 - 12 - 15)*(5 + 1 - 5)*(3 + 10 + 5).\nAnswer: -468*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = -3*z**3 + z. Let y be k(-1). Suppose 0 - y*l**2 - 5 - 3 - 8*l = 0. What is l?\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -3, -17\/8, -0.007241, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mr when two letters picked without replacement from {m: 4, a: 2, p: 7, r: 2, j: 3}?\nAnswer: 4\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.2 + -0.2. Let t = -1151\/2 + 574. Let c be ((-10)\/4)\/(1\/2). What is the smallest value in g, t, c, 2?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (163 - 71 - f - 83)*(-40*f**3 + 3*f**3 - 74*f**3).\nAnswer: 111*f**4 - 999*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3\/5 in 2.09, -1\/9, -43, 5?\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Does 637 divide 375747?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 20 divide 1240?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(-3\/5)*m*m**(-3\/2)*((m**(-4)\/m)\/m)**(-2\/103))**(5\/13) assuming m is positive.\nAnswer: m**(-1013\/2678)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 254*i + 119*i = 27*i + 3460 for i.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -3*s**2 + 39*s - 52?\nAnswer: -6*s + 39","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -285, -570, -855, -1140, -1425, -1710?\nAnswer: -1995","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (10 - (6 - -32))\/(4\/(-2)). Suppose 9469 = y*m - 3663. List the prime factors of m.\nAnswer: 2, 7, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 164*l + 2005 - 2005 to t + p*l and give p.\nAnswer: 164","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 885 and 2115.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = -f + 11. Let y be h(7). Let w(g) = g**2 + 0*g**2 - y*g**2. Let p(t) = 7*t - 6*t - t - 2*t. What is p(w(b))?\nAnswer: 6*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 82 a factor of 113919877?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i + 28 = 4*o, -5*o + 11 + 19 = -5*i. Suppose 3*v - 39 = -o*w, -v = 4*v - 15. Suppose 8*y - w*y = -700. What are the prime factors of y?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 = -2*w + 5*w. Suppose -24 = -11*p + 6*p - 3*i, -5*p - 4*i + 22 = 0. Calculate the smallest common multiple of w and p.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -930 * 5\nAnswer: -4650","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 3, 57 in descending order.\nAnswer: 57, 3, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0003291386 rounded to five dps?\nAnswer: 0.00033","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*j + 40*q + 535 = 39*q + 539, 6 = 6*j + 2*q for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = -1 + 1 - 2 + 1. Let h(o) = o + 1. Let p(k) = h(k) + x(k). Give p(4).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -24 - -25. Which is smaller: -15 or n?\nAnswer: -15","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -24 - -23. Let p = -21 + 20. Let r be p - y*(14 - 2). Solve -r = 4*d + x, 3*x + 12 = -x for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0.4 (b) 1026\/31 (c) -4\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*g**3 + 6890*g**2 - 13765*g + 6880.\nAnswer: -5*(g - 1376)*(g - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 10583980 and 11642378?\nAnswer: 116423780","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2013, -6306, -12885, -21750, -32901, -46338, -62061?\nAnswer: -80070","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -9443360 divided by -118042\nAnswer: 80","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*t + 7*t**3 + t**2 + 75*t**4 + 79*t**4 + 3*t**3 - 2*t**3 - 9*t**3 in the form d + y*t + b*t**4 + x*t**3 + p*t**2 and give y.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 29090 is divided by 47.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 15 + -11 + 2 - (1 - 2)\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (-1)\/(2\/3)*532\/114\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p*p**(-1))**(-45)*p*p\/p**(-8)*(p**(-3\/5)\/p)\/p)\/(((p*p**(1\/2)*p*p)\/p)**36)**(-8) assuming p is positive.\nAnswer: p**(3637\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 3 and 961.\nAnswer: 2883","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ggggg. Give prob of sequence ggg.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v = 2*v - 145. Suppose 5*t = -3*l + 420, -t = -2*l + v - 100. What is the greatest common divisor of 9 and t?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -86 in -6, -4, -1, 3?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -240 + 503?\nAnswer: 223","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 plus 54490.2442?\nAnswer: 54492.2442","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -168 = 5*a - 153 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 10 - 8. Let c be -1*(v - 3)\/(-1). Put -2, c, 1 in decreasing order.\nAnswer: 1, c, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*c + 39*b = 43*b + 190, 5*c + 3*b = -185 for c.\nAnswer: -34","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*i**3 - 734*i**2 + 60108*i - 334656.\nAnswer: 2*(i - 249)*(i - 112)*(i - 6)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 21086.\nAnswer: 2, 13, 811","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = v**3 - 17*v**2 - 312*v + 3900. Calculate f(14).\nAnswer: -1056","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -4 (base 15) to base 2\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 e when two letters picked without replacement from {e: 3, v: 7}.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -160 (base 10) in base 11?\nAnswer: -136","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (1105\/7293)\/(5\/2)?\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 2553243587 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 878797888 to the nearest integer?\nAnswer: 958","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8 - (6 - 1 - 11) - 13.\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -210070695*y + 13*y**2 + 210070695*y + 412*y**3 to d*y**2 + u*y**3 + o*y + a and give u.\nAnswer: 412","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -3 - -5. Let g(c) = -c**3 + c + 1. Let r be g(0). Let u be r\/2*(-32)\/(-4). What is the greatest common divisor of h and u?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 38086913 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 147283852 to the nearest integer?\nAnswer: 528","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) be the first derivative of -z**8\/168 + z**5\/20 - z**2\/2 + 1. Let w(x) be the second derivative of l(x). Find the third derivative of w(m) wrt m.\nAnswer: -120*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -33, 435\/11, -2099 in decreasing order.\nAnswer: 435\/11, -33, -2099","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d**(-2)\/d)**(-3\/37)*d**(-29)*d**(-2\/25))**1 assuming d is positive.\nAnswer: d**(-26674\/925)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (31 - 16) + -22 + (-189)\/(-54).\nAnswer: -7\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 232?\nAnswer: 2, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z\/(z*z*z*z*(z\/(z*z**(8\/5)))\/z))**(-24)\/(z**26*z**49) assuming z is positive.\nAnswer: z**(-327\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 3 + 1 + (-1 + 0 + 3)*(-2 - 2 + 5) + 2 - 2 - 1)*(-15 + 31247*q - 31247*q - 3*q**3).\nAnswer: -18*q**3 - 90","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1 - 1 - 49*z + 46*z to the form n + u*z and give u.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2659751321?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is (0 - -158)*1\/2 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 16\/4 - (-3 + (-65)\/(-10)). Suppose -o + 2 = -2. Find d, given that -1\/4*d + 3\/4*d**5 + d**o - w*d**3 + 0 - d**2 = 0.\nAnswer: -1, -1\/3, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -438*d**3 + 3756*d**3 + 179*d - 179*d + (d - 1 + 1)*(d**2 + 2*d**2 - 4*d**2) + 2*d**3 - d**3 + d**3.\nAnswer: 3319*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 384*r**4 - 1765*r + 357*r - 81*r**4 - 51*r**4 + 412*r**4 wrt r.\nAnswer: 7968*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Put 0.3, -1\/10, -5\/3, -41, -2 in ascending order.\nAnswer: -41, -2, -5\/3, -1\/10, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 41027\/96 + -855\/2. Find the common denominator of ((-274)\/(-18))\/(-13 + (-129)\/(-9)) and m.\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*m + 5*l + 39, 3*l - 10 + 19 = 0. Let i be -1*14\/m - (-5 + 2). What is the nearest to -3 in 0.5, -0.4, i?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -17\/24274833 greater than or equal to 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put -526, -27, -4, 5, -10, 0 in descending order.\nAnswer: 5, 0, -4, -10, -27, -526","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from iuiiiiiiuii. What is prob of picking 2 i?\nAnswer: 36\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = o**3 - 12*o**2 - o + 16. Let k be d(12). Sort 5, -12, k in decreasing order.\nAnswer: 5, k, -12","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/7 in 1\/9, 2\/9, 29\/9?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -103\/6 and (-18)\/(-15)*270\/24.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*u - 122 + 124 = 0 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 387.61*27\nAnswer: 10465.47","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-2 - 33\/(-7))*-1)\/(1718\/12026).\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.2 and -0.29?\nAnswer: 0.058","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*p**2 - 3*p**2 + 2*p**2)*(p - p - 2*p)*(-2 + 67 - 4).\nAnswer: -366*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3592*k - 5*d = 3584*k + 36, -3*k + 4 = k + d for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = -3*c**2 + 3*c - 6. Let x be w(-5). Let b = x + 674\/7. Which is smaller: -1 or b?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (4\/((-2)\/(-1)))\/6?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c\/c**(-14))\/c**31 assuming c is positive.\nAnswer: c**(-16)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 1146 (base 8) to base 12\nAnswer: 432","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (7\/(-42))\/(26\/16). Let t = h - 22\/39. What is the third smallest value in -2\/13, t, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1821621399?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -157*v - 353*v + 308*v - 202 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 237375?\nAnswer: 3, 5, 211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is -6142 less than -5386?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 43 - 60. Let n = 27 + r. Let w be ((-75)\/(-6))\/((-2)\/(-4)). Calculate the highest common divisor of w and n.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from nffehfffh. Give prob of sequence hf.\nAnswer: 5\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 3*(-3)\/(-6)*-2*(189727\/2409 + -79)\nAnswer: 8\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1110 and 2632365.\nAnswer: 555","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 87853 to the nearest integer?\nAnswer: 296","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -29 = -4*c - 5*y + 1, -5*y = 3*c - 30. Sort -4, 2, -28, -2, c in decreasing order.\nAnswer: 2, c, -2, -4, -28","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -0.05186 (b) 1\/7 (c) -25 (d) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.0716 and -15?\nAnswer: 1.074","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 42203314 - -2?\nAnswer: 42203316","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m**2\/7 + 11454*m + 721764\/7 = 0. Calculate m.\nAnswer: -9, 40098","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 23332 + 1232?\nAnswer: 31230","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u = 3*w - 235, -2*w - u - 75 = -3*w. Is 11 a factor of w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from vcmmwcmbwwmsvsbwmmvv. What is prob of sequence svm?\nAnswer: 2\/285","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: ((2*1)\/8)\/((-4942)\/336056)\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16413 - 466 + 4403 = 236*v - 6318 for v.\nAnswer: 113","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = q + 11. Give m(4).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = 1 + 5*l - 2 - 4*l + 2. Suppose 0 = -5*i + m - 7, 2*m + 1 = -2*i + 3*m. Determine z(i).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20 = -239*y + 244*y - 5*i, 2*y - 4 = -i for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*z = -5*z. Suppose z = 15*w - 14*w + 5. List the prime factors of (12010\/(-16))\/w + 3\/(-24).\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = -r**3 + r**2 - 3*r + 1. Let z(x) = -4824*x**3 - 17*x**2 + 51*x - 17. What is 17*d(o) + z(o)?\nAnswer: -4841*o**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 3*j**6 + 82*j**3 + 1957*j**2 + 2 wrt j.\nAnswer: 360*j**3 + 492","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 448*o - 451*o = -5*p + 17, -146 = 2*o - 138*p for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is (270\/33 - -7) + -15?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {n: 2, a: 4, p: 1, c: 1, z: 2}. What is prob of picking 1 p, 1 n, and 1 a?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2*a**3*i**3 - 2*a**3*i**2 + 5*a**3*w + 69*a**2*i**3*w + 18*a*i**2*w wrt i.\nAnswer: -12*a**3 + 414*a**2*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 e, 1 u, and 1 m when three letters picked without replacement from uuueumueeueeuuuemu.\nAnswer: 5\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.815952 equal to -15.2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1da26 (base 14) to base 12.\nAnswer: -38042","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 10110100100010 + 100110111?\nAnswer: 10111001011001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o = -4*l - 3*o + 15, 3*l + 2*o - 13 = 0. Suppose 0 = 2*q - 2*j - 78, 0 = 3*q + l*j - 2*j - 105. Is q a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -2*b**3*q**2 + 90*b**2*q**2 - 53*q**2 + q wrt b?\nAnswer: -6*b**2*q**2 + 180*b*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -14464\/93847 + 2\/7219. What is the closest to 0.04 in l, -2\/3, -185?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 4*w**2 - 2*w + 9*w**2 - 16*w**2 - 1 + (2*w - 5*w + 2*w)*(20 - 20 - 10*w) + 0 + 0 + w**2 in the form h*w + y + n*w**2 and give h.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:41 PM and 2:25 AM?\nAnswer: 704","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u = -t + 2*t - 1572, 4*t = 2*u + 6238. Let j = 3051 - t. List the prime factors of j.\nAnswer: 1489","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x + 1 = g, 3 = 4*g - 9. Suppose -2*n = 4*t, -x = 7*t - 2*t + 2*n. List the prime factors of 3*t + -20*51\/(-6).\nAnswer: 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = 6*v + 80. Give z(-14).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -209317 divided by -17?\nAnswer: 209317\/17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2080, -279, 1548, 3401, 5280?\nAnswer: 7185","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 14, 33, 52, 71, 90, 109?\nAnswer: 128","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 64 a factor of 7064448?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*y - 0*y - 12. Let h = 6 + y. Solve x = 5*k + 5, k - 5*k - 2*x + h = 0 for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 4, 1\/133, -1, 4.6, -4, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 35 + -2?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -600.831 + 500.8189. Let z = 100 + o. What is z rounded to 3 dps?\nAnswer: -0.012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 26549, 26488, 26387, 26246?\n\"Answer: -20*v**2 - v + 26570","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = -j**2 + 5. Let o be z(0). Let i(x) = 33*x**2 + 12*x**2 + 6 - 2*x + o*x**2 - 7. Is i(-1) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) be the first derivative of -19*v**6 - 2*v**5\/5 - 820*v**3\/3 - 695. What is the third derivative of x(n) wrt n?\nAnswer: -6840*n**2 - 48*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) be the first derivative of -x**4\/4 + 5*x**3 - 8*x**2 + 19*x + 16. Give g(14).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -742\/3 - -247. Which is the closest to r? (a) 4 (b) -0.21 (c) -0.17 (d) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -19 - -27. Let k(i) = 2*i + 11. What is the units digit of k(o)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 3 + 138 - 1*(4 + -2). Suppose -3*p + c + 203 = 0. What are the prime factors of p?\nAnswer: 2, 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 93\/62*100\/225?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-5)\/(-1) - ((-195)\/10)\/(-3).\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o = -5*y - 4, 0 = -o + 5*o + y - 4. Suppose f - 9 = -6. Let a be (-1 - -1) + f\/12. What is the biggest value in -0.02, a, o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 159*d - 116*d + 551*d**2 - 43*d.\nAnswer: 551*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 4 in -0.05, 5, 0.2, -5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = -2*h**3 - 15*h**2 - 4*h - 26. Suppose -i + 1 = -0. Let r = i + 17. What is the remainder when o(-8) is divided by r?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate n**4 + 35*n*x**3 - 65*x**3 wrt n.\nAnswer: 4*n**3 + 35*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 137487 is divided by 12489?\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i**2 + 71*i - 146 = 0. What is i?\nAnswer: -73, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Determine w, given that 2*w**2 - 3446340*w + 165419712 = 0.\nAnswer: 48, 1723122","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((2 - 1) + -3)\/(-1). What is the second derivative of -q - 1 - y*q**2 + 1 wrt q?\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 37 + (28 - -56) + -113?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out -6124 * -1421.\nAnswer: 8702204","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = -9*t + 56. Give o(15).\nAnswer: -79","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o + 14629378 + 5470622 = 0. Round o to the nearest one million.\nAnswer: 7000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2911 or -3002?\nAnswer: -3002","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11326 + 6658 = -4*j. Let h = j + 7903. Let n be h\/(-2)*1086 + 1. What is n rounded to the nearest 100000?\nAnswer: -1900000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 24137 + -8278. Is x composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = 1 + 2*a + 5 - 6. Let n be m(4). Let c = -313 - -317. Solve -c*r - n = -0 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -6 * -288.73\nAnswer: 1732.38","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put -465, -3, 3 in decreasing order.\nAnswer: 3, -3, -465","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = 5*x**2 + x + 1. Let i be ((-2)\/(-4))\/((-2)\/4). Let b be h(i). Let r = -1 + b. What are the prime factors of r?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2389.\nAnswer: 2389","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -56, -60, -74, -104, -156, -236, -350, -504?\n\"Answer: -o**3 + o**2 - 56","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 2887\/404 less than 0.036?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 940 and 11?\nAnswer: 10340","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 110*q = -1102 + 222 for q.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5*10.\nAnswer: -50","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 1346, 2581, 3816?\n\"Answer: 1235*z + 111","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1348 to the nearest integer?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = -17*b**2 + 26*b + 10. Let h(w) = -3*w**2 + 5*w + 2. Let x(d) = 33*h(d) - 6*v(d). Factor x(n).\nAnswer: 3*(n + 1)*(n + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 78 - (-14 + 10 - -19)\nAnswer: 63","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 573.\nAnswer: 3, 191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -211 + 247. Let v = -217 + 99. Let l be v\/(-5) - (-4)\/10. Calculate the greatest common factor of l and j.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -8 + 12 - (11 - 11)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -182, -5, 121, 2, -0.2.\nAnswer: -182, -5, -0.2, 2, 121","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 23637 - 23637. Solve 2\/9*j**2 + 0*j + 0*j**3 - 2\/9*j**4 + l = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 72\/30 - (-6)\/(-15). Is c != 11?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-41 + 114 + -84)\/(11\/(-2)). Determine n so that 0 + 2\/3*n**m - 4\/3*n = 0.\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -3043432 + -13?\nAnswer: -3043445","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-564)\/9165*-325*(-219)\/(-60)?\nAnswer: 73","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -2 + -1*(-1 - -24). Suppose -4*i + 168 = -0*i. Let b = l + i. What is the units digit of b?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -83\/1882 and -61\/5.\nAnswer: 9410","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*l + 0*l - 2*l)*(l**2 - 3*l**2 + l**2)*((2 - 2*l - 2)*(-1 - 2 + 5) + l + 0 + 0 + 2*l + 2 - 2 + 4*l - 2*l - 6*l).\nAnswer: 10*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*n = -4*n. Suppose n = 2*y - 9 + 1. Suppose 1 + 7 = 2*t. What is the least common multiple of t and y?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = u**3 + 91*u**2 + 372*u + 2086. Let m be o(-87). Let x = 6 - 4. Let r be 2\/7*x\/(-4). Sort r, -1\/3, m in increasing order.\nAnswer: m, -1\/3, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = -15*y**3 - 4*y**2 - 5*y - 4. Let h be u(-2). Suppose -10*q = -8*q - h. List the prime factors of q.\nAnswer: 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 315626 is divided by 334?\nAnswer: 330","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:33 AM and 2:24 AM?\nAnswer: 51","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = -m**4 - m**3 - m. Let i(p) = -2*p**2 - 8*p + 0*p**2 + 17*p**4 - 19*p**4. Suppose 4*c + 21 = 5. Let z(h) = c*b(h) + i(h). Factor z(q).\nAnswer: 2*q*(q - 1)*(q + 1)*(q + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -229 - 6 = -47*u. Solve -2*q + v = -4*v + 26, 3 = -u*q - 3*v for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z = -2*z - 4*x - 156, -3 = 3*x. Let m = z - 45. Find the second derivative of m*u**5 - 4*u + u - 30*u**5 wrt u.\nAnswer: 20*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 135264, 270527, 405790, 541053, 676316?\nAnswer: 811579","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 16 divide 1072160?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 2\/8 + 15\/4. Suppose -q*v = -1 - 3. Let s be (-1)\/3 + 255\/225. Which is smaller: v or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 82646 is divided by 2061?\nAnswer: 206","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*d = -2*d. Let j = -23 - -32. Let v = 6 - j. What is the closest to d in 0, v, 2\/3?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = -x**2 - 187*x + 10465. What is s(-232)?\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 521252?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = 6*j**2 - 8*j - 8. Let x(p) = 4*p**2 - 5*p - 5. Let z(o) = 5*i(o) - 8*x(o). Let t(r) = -25*r**2 + 2. Calculate t(z(w)).\nAnswer: -100*w**4 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 25524\/(-315) - 3\/(-7). Let c = 81 + p. Let u = 0 - -1. Put 0.2, u, c in decreasing order.\nAnswer: u, c, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 4 (b) 0 (c) -1.26 (d) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 11078, 10526, 9598, 8288, 6590, 4498, 2006?\nAnswer: -892","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = -6*n - 4*n**2 + 3*n**3 + 12*n**2 - 4*n**3 + n - 9. Let c be a(7). Is (-163)\/(-5) - 3\/c a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -13462456 to the nearest one hundred thousand.\nAnswer: -13500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -9.071 + 8.9. Let v = -0.029 + k. Which is the smallest value? (a) -9 (b) 3 (c) v (d) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4 + 6 + 0 - 6) + (42 - (45 - 5))?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (-6 + 2)\/((-1)\/4)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1196778?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -28\/323 and -45\/493541.\nAnswer: 159413743","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 t when two letters picked without replacement from ttfftttftffff.\nAnswer: 5\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = -56*p**3 + p**2 + p. Let g be q(-1). Let a = g + -14. What is the remainder when a is divided by 11?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 167 - 11 = -4*h. Let u = 64 + h. Let q = u + 29. What is the tens digit of q?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 29 - 6 - 7 - 49*y**5 + 21*y**4 - 24*y + 73*y**3 - 20 - 17*y**2 = 0.\nAnswer: -1, -2\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = -d**2 + 11*d - 22. Let u be w(9). Let q = -0.38 + -20.62. Let m = -20 - q. Which is the closest to -0.1? (a) u (b) m (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = 38*j - 531. Let m be f(14). Is 2\/4067 at most as big as m?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 2694\/233 or -2?\nAnswer: 2694\/233","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6 + -1 + 7 + (22 - 24)?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-9 - (1 + (-5 - -3))) + (-4101 - -4151)?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*f - 0 - 20. Is 3 a factor of (f\/6)\/(2\/30)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = -m**3 + 10*m**2 - 2*m + 23. Let i be q(10). Let s = 8 - 5. Suppose 230 = i*w + 5*p, -2*w = w + s*p - 234. Does 16 divide w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = 9*y**3 - y - 2. Let z be v(-1). Let r be 12\/z*35\/(-14). Is (r + (-320)\/(-12))*3 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 35496 is divided by 21.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -3121143053 - 12?\nAnswer: -3121143065","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:26 AM and 3:09 PM?\nAnswer: 643","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = -h**3 - 6*h**2 - 6*h - 5. Let q(j) = j. Let t(d) = -2*q(d) - w(d). Let f be t(-5). Let z = -10250 - -10254. Sort f, -3, z.\nAnswer: -3, z, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -365 (base 11) to base 7\nAnswer: -1160","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 57\/794360 and 59\/280.\nAnswer: 794360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (14 - 24) + 108*(-4)\/(-42).\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 209 + -212. What is the nearest to 1\/3 in 0.4, w, 8?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-4)\/(-27))\/((-2)\/3)?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) be the first derivative of 5*k**3\/3 + 32. Let r(p) = 7*p. Give o(r(q)).\nAnswer: 245*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 39500459, 79000930, 118501401, 158001872, 197502343?\nAnswer: 237002814","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) be the third derivative of -x**6\/36 - x**5\/40 - x**4\/24 - 3*x**2. Let i(y) be the second derivative of u(y). Is i(-4) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 20 - -5?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0.138 + 0.062. Put a, 3, -0.2, -1 in ascending order.\nAnswer: -1, -0.2, a, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = 2845*d + 623058. What is n(-219)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v - 18 - 78 = 0. Let b = -28 - v. What is the smallest common multiple of 4 and b?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = 2*k**2 - 2*k + 2. Calculate i(3).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(4\/7)*o)**(-3\/32)*(o*o*o**(1\/17)*o*o)**12 assuming o is positive.\nAnswer: o**(184911\/3808)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 3.808919t?\nAnswer: 3808919000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f - 4*t = 122, 5*t - 28 = -f - 0. Is f a multiple of 19?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k + 4 = 4. Suppose 25 = -3*d + 5*f - k*f, 4*d + f - 5 = 0. Let h = -4 + 4. Solve h = 5*r - d*r for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -2\/19 (b) -622 (c) -0.4 (d) 3\/8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 8 + 5\/(5\/2). Let r be (-3)\/(-2) + 87985\/d. Suppose r = -3*l + 5*l. Round l to the nearest 1000.\nAnswer: 4000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4969 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u*u*(u*u*u\/(u\/((u\/u**1)\/u)))\/u*u)**(-10))**7\/(u\/(u**(-2\/17)\/u)*u**2*(u*u**(1\/2))**(-48)) assuming u is positive.\nAnswer: u**(-2416\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 20 take away 92?\nAnswer: -72","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 6\/7*(-7)\/(-17). Which is bigger: h or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 154*b**4 + 66520*b**3 + 6837378*b**2 - 75570508*b + 3907280 = 0. Calculate b.\nAnswer: -221, 4\/77, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = s**3 + 4*s**2 + 5. Let z be c(4). Determine b, given that -z*b - 110 - 674 - 4*b**2 + 21*b = 0.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*f**3\/5 - 2028*f**2\/5 - 8151*f\/5 - 1224 = 0.\nAnswer: -3, -1, 680","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express (20 - 57*w - 5 - 13)*(-3*w + 3*w + w**3) as s*w**3 + o*w**2 + b + f*w**4 + x*w and give s.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (37\/(-111))\/(1\/477). Let s = -42 - n. What is the highest common factor of s and 65?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -8 + 8. Suppose g = 2*u - 3*u + 127. Is u composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = -192*l - 824. Calculate the remainder when 2581 is divided by k(-5).\nAnswer: 133","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-3*(-1)\/9)\/(2\/3). Let y = -7285\/7 - -1041. Which is the nearest to q? (a) -2\/19 (b) y (c) 8 (d) 1\/10\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 92200000 rounded to the nearest 1000000?\nAnswer: 92000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 350*w + 4*z - 30 = 353*w, 5*w = -2*z + 2 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -g - 2*g - 439 - g.\nAnswer: -4*g - 439","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 63211 is divided by 4812?\nAnswer: 655","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = -77*g + 28. Let k(q) = 14*q - 5. Let y(m) = -28*k(m) - 5*t(m). Suppose 195 + 17 = 4*n. Let p(w) = 3*w + 0*w + 53 - n. Give y(p(b)).\nAnswer: -21*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of ((-90200)\/(-66))\/((-2)\/(-21))?\nAnswer: 2, 5, 7, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*c - 385 = 43*c for c.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 2840 to the power of 1\/2, to the nearest integer?\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = 70*g**2 + 35. Let b(i) = -i**2 - 1. Determine -35*b(t) - n(t).\nAnswer: -35*t**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) be the second derivative of n**10\/1260 + 2*n**6\/45 - 35*n**3\/6 + n. Let s(q) be the second derivative of z(q). Find the third derivative of s(y) wrt y.\nAnswer: 480*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = -l. Let y be t(-8). Suppose -12 = 3*j - 6*j. Let i = 24 - j. What is the highest common factor of i and y?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = -5141*w - 21. Let s(h) = -h + 8. Let v be s(-11). Let b be l(v). Round b to the nearest ten thousand.\nAnswer: -100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*y - 212 = -267 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 9 - 6 - ((-85 - -90) + (-1 - -1))\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 369 is divided by 22.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8075.\nAnswer: 5, 17, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 13545 and -0.9?\nAnswer: 13545.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = 566667*d**2 - 2*d + 3. Let c(j) = j + 14. Let f be c(-8). Let n be (-27)\/f*-1 + 15\/(-10). Let s be l(n). What is s rounded to the nearest 1000000?\nAnswer: 5000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 3270\/16*(-27)\/15. Let d = -364 - k. Find the common denominator of -2 and d.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-6)\/(-2) + 5 + -5. Let z(v) = -2*v**3 + 8*v**2 - 10*v + 56. Let p be z(4). Solve u + j*u - p = 0 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2142723854 - -808.5.\nAnswer: -2142723045.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 3\/(-6) + (-18)\/(-4). Suppose -108 = -3*j - 4*x, -j - 5*x = a*j - 185. Is 13 a factor of j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -5970 (b) -1\/3 (c) 2\/9 (d) -18\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-4)\/10 - (-291)\/15. Suppose 21 = 11*b - 4*b. Suppose -102 = -2*v - b*d, 3*v - 137 = -3*d + u. What is the tens digit of v?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20 = -4*o + 3*n, 29 - 11 = -o + 4*n. Suppose -3*t + 14 = -0*t - 2*r, -4*t + 5*r + 7 = 0. What is the lowest common multiple of 9*(3\/(-12))\/(o\/t) and 1?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -1\/98 (b) 57 (c) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 154 a factor of 18068?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.267 - 0.167. What is the nearest to i in 2, 19, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l - 80000 = 2*l. What is l rounded to the nearest 10000?\nAnswer: 40000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*d - 125 = 526. What is the units digit of d?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 51845 divided by -10369.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-2)\/8 - (-2)\/8. Suppose -2*j + c*j = -68. Is j prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.2947 times 76117\nAnswer: 22431.6799","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: (0 - 9) + (-7 - -30) + -22\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 284490159 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -10.08 + 10. Let c = a + 0. Let v = 0.28 + c. Put -5, 2, v in ascending order.\nAnswer: -5, v, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -805*u**2 - 839*u**2 - 822*u**2 + 2399*u**2.\nAnswer: -67*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1435 + 1436. Sort -5, v, 0, -24 in increasing order.\nAnswer: -24, -5, 0, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(972) + sqrt(972) + (sqrt(972) - (sqrt(972) - sqrt(972)*3)) + sqrt(972))*-2*-4)\/((sqrt(576) + sqrt(576) + -1*sqrt(576) + sqrt(576))*-1*3).\nAnswer: -6*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 401 + -400. What is the nearest to 0 in -1\/12, -2\/43, s?\nAnswer: -2\/43","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {n: 1, y: 1, g: 3, w: 3, k: 2, u: 1}. What is prob of picking 2 n, 1 y, and 1 k?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + (-2*(sqrt(2560) - sqrt(40)))\/sqrt(8))*-2*-3.\nAnswer: -84*sqrt(5) - 12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -198*d = -296*d - 1764 for d.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -j = 17024*c - 16984*c - 86, c - 4*j + 22 = 0 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put -37, -102, 0.4, -1\/8, -2\/17 in increasing order.\nAnswer: -102, -37, -1\/8, -2\/17, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert 11111020122111 (base 3) to base 8.\nAnswer: 11065071","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 15\/(2 - -1) + -3. Solve -m - g*n = 4*m + 26, -2*m = -5*n - 7 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (17 - 10) + (22 + (8 - 25) - (-1 - -28))?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 121*a - 9 - 122 - 111 = 0 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a = -3*d + 2*d - 4, 4 = 4*a. Suppose d = 4*v + v, 4*v + 338 = -n. Let x = 488 + n. What is the units digit of x?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1011 (base 2) in base 7?\nAnswer: -14","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -56*z + 5 = -61*z. Put z, 2, 6 in decreasing order.\nAnswer: 6, 2, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 76608 to the nearest integer?\nAnswer: 277","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 95213, 94993, 94631, 94133, 93505?\n\"Answer: k**3 - 77*k**2 + 4*k + 95285","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 29373884*m**3 + 16387993.\nAnswer: 88121652*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Determine r, given that 20*r**4 + 5955*r**3 - 1510*r**2 - 5955*r + 1490 = 0.\nAnswer: -298, -1, 1\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is v in 18*v**3 - 266*v**2 - 348*v - 64 = 0?\nAnswer: -1, -2\/9, 16","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from dnfdffnd. What is prob of picking 1 n and 2 f?\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 655 minutes before 1:45 PM?\nAnswer: 2:50 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 818084670?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 81873 or 81893?\nAnswer: 81893","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -20*a**3*o + 79*a**3*p + 43*a**2*p**2 - 135*a*o*p**2 - 13*a*o*p - 17*a*p + 4*p**2 wrt a?\nAnswer: -120*a*o + 474*a*p + 86*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 72 - (45 + -15) - 31 - 94\nAnswer: -83","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zwp when three letters picked without replacement from {z: 3, y: 1, d: 4, w: 7, p: 1}.\nAnswer: 1\/160","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = -1648*b**2 - 56*b + 80. Let o be k(23). Round o to the nearest 100000.\nAnswer: -900000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 45*a - 48*a + 60954 = 0. What is the units digit of a?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 601 (base 7) to base 3\nAnswer: 101221","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*o**5 - 840*o**4 + 9360*o**3.\nAnswer: 5*o**3*(o - 156)*(o - 12)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 55360 + 6391. What is the thousands digit of l?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (0 - -7) + (-21 - -12 - 3) + (-5 - -2)?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = 7 - 38 + 8*n - n + 31. Let z(c) be the first derivative of -5*c**2 - 1. Determine z(l(r)).\nAnswer: -70*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 696 + -409. Let w = o + -1434\/5. Sort 0.5, 3, w, 10.\nAnswer: w, 0.5, 3, 10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.1 - -0.14. Let m = -3.96 - v. Let f be -3 - 2*(-20)\/8. Which is the third biggest value? (a) m (b) 4 (c) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) be the first derivative of 1\/7*l**2 + 4\/21*l**3 + 0*l + 1\/14*l**4 + 60. Determine q so that b(q) = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 221 - -1884. Is t prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.16672 + -5.\nAnswer: -5.16672","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 9\/7, -4, 4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 43 in 5, -2\/11, 4, -1.3, -4.8?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 286 to the power of 1\/9, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = -f - 6. Let o(x) = -4*x - 32. Let v(p) = 2*o(p) - 11*u(p). Let s(l) = 35*l + 25. Give 2*s(c) - 25*v(c).\nAnswer: -5*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 20c67 - -206?\nAnswer: 21170","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (62658\/(-1134) - -55) + 2*1\/7?\nAnswer: 2\/63","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 50*a + 7704 = 68*a. Let n = -23 + a. Is 10 a factor of n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = w - 14. Suppose 5*u = u - 4*a, -a = -5*u + 24. Suppose 4*y = -b + 22, -y = -u - 1. Let t be 4 - (1 + (5 - b)). Give v(t).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 136 - 134. Differentiate 6*a**2 - 33 + v*a**3 - a**3 + 2*a**3 with respect to a.\nAnswer: 9*a**2 + 12*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v = -2*c + 30, 0 = 2*v - 3*c - 2 - 9. What is the units digit of -2*v\/(-21)*(-177)\/(-2)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -149, -165, -191, -227, -273?\n\"Answer: -5*j**2 - j - 143","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide 3672 by -153.\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 3751 a multiple of 21?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h + 0*h = 4. Let b be (h\/3)\/(9 + 1). Put -8, 0, b in decreasing order.\nAnswer: b, 0, -8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = w**3 - 9*w**2 + w. Suppose 36 = 5*o - o. What are the prime factors of t(o)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-35)\/7)\/30*2?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i\/(i*i**(-1\/18)*i))\/i*(i*i*i\/(i\/(i\/(i*i**(-2\/43))))*i)\/i*i\/i**(-4\/5)*i*i\/(i\/(i*i**12)))**11 assuming i is positive.\nAnswer: i**(676951\/3870)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -53 = 2*x - 63, -3*x + 35 = 5*y for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 485 + -1501\/3. What is the common denominator of z and 67\/64?\nAnswer: 192","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 2 + -6371983?\nAnswer: -6371981","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*r + 14 = -4*w, -r - 12 = 2*w - 3*r for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -112*z + 206*z - 1290 = -968 + 4848 for z.\nAnswer: 55","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 68120885713 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = -z**2 - 4*z - 2. Let b be s(-4). What is the tens digit of ((-4)\/b + -3)*-26?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -2, -1.6, -0.014, 43, -2\/9.\nAnswer: -2, -1.6, -2\/9, -0.014, 2, 43","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = 14*h**2 - h - 1. Let x(a) = -27*a**2 + a + 1. Let r(k) = k**3 + 19*k**2 - 23*k - 432. Let m be r(-19). Determine m*f(i) + 3*x(i).\nAnswer: -11*i**2 - 2*i - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -13.58455477415 + -14.\nAnswer: -27.58455477415","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4770*0.7.\nAnswer: -3339","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x = -3*k + 115, 5*k - 3 = 4*x + 242. Calculate the greatest common divisor of k and 360.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*n + 4 + n - 4.\nAnswer: -3*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = 854*a - 389*a - 397*a. Let n(l) = -2*l**2. Give z(n(t)).\nAnswer: -136*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1183 - -9.4341?\nAnswer: 9.5524","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/2 in -16, -1513, -2, 0.03?\nAnswer: 0.03","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) be the first derivative of 166*b**5\/5 - b**4\/2 - 65*b**3 - 4*b - 1841. What is the third derivative of f(v) wrt v?\nAnswer: 3984*v - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**4)**(-2\/9) assuming f is positive.\nAnswer: f**(-8\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = -n**2 + 6406*n - 748144. Determine o(119).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -5\/733 - -21317\/8796. What is the common denominator of n and 2 - 25\/80*8 - (-57)\/(-27)?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(sqrt(468) - (-5 + 1*sqrt(468) + sqrt(468)) - sqrt(468)) + 1*(0 + sqrt(468) + 2))**2*-1*5.\nAnswer: -191160 + 9720*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*y + 2*d = -18, 6*y - 6*d + 534 = 588 for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -68 = -5*j + j. Let u be 4 + -1 - (1 + -1). Suppose -y = -j + u. List the prime factors of y.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -86711 (base 9) in base 15?\nAnswer: -12044","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = -30*t + 193. Give u(17).\nAnswer: -317","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 85063 and 6105.\nAnswer: 407","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 8 - 14. Let f = -3 - 0. Let w be (p\/(-1))\/(f\/(-2)). Solve 3*s + 0*c + 6 = 3*c, -w*s = -c + 5 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 17822?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(52) + 0 + 3 + sqrt(65)\/sqrt(5).\nAnswer: 3 + 3*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 508 minutes after 10:59 AM?\nAnswer: 7:27 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -31*o - 3374 = -2754 for o.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) be the second derivative of 11*r**4\/12 + 4*r - 2. Let y(l) = -3*l**2. What is m(y(x))?\nAnswer: 99*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -1\/89, -21, 4, 0.1, -2\/15, 2, -4?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = -14*a**3 - 10*a**2 - 140*a + 1. Let l(i) = 40*i**3 + 29*i**2 + 405*i - 2. Determine 6*l(d) + 17*r(d).\nAnswer: 2*d**3 + 4*d**2 + 50*d + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5 = l + r, -2 = -4*l + 2*r + 6 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 156 - 160 - (3 - -47)?\nAnswer: -54","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 119 - 572. Let n = z - -460. What is the nearest to 0.1 in 2\/11, -3, n, 0.2?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*y**3\/11 - 29570*y**2\/11 = 0. What is y?\nAnswer: -14785, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify v**(-6)*v\/((v*(((v**(-17)*v)\/v)\/v)\/v)\/v*v*v)*v*v**(2\/33)*v**(-8)*v assuming v is positive.\nAnswer: v**(200\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -84615 divided by 782?\nAnswer: -84615\/782","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 14\/(350\/(-15))*75\/(-30).\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 1 + 10 + (0 - 0). Suppose 0 = 3*c - 2*p - 22, 0*p + s = -c - 3*p. Let r = -1 + c. Is r a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = h**3 + h**2 + 2*h + 4. Let g(o) = o**3 + 3*o**2 + 5*o + 9. Determine -2*g(c) + 5*t(c).\nAnswer: 3*c**3 - c**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) be the second derivative of -v**3\/6 + 1048*v. Let y(g) = -14*g + 6. Determine y(t(r)).\nAnswer: 14*r + 6","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 4\/(-14) + (-2)\/(-7). Suppose 820*n - 822*n = j. Let 0*c**2 + 0*c**4 + n + 2\/9*c**3 + 0*c - 2\/9*c**5 = 0. What is c?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 793485846?\nAnswer: 2, 3, 17, 2593091","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1551 - 563. Does 4 divide x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) 2\/15 (b) 21078 (c) -1 (d) -0.2 (e) 5 (f) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.4 + -56661591?\nAnswer: -56661591.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) be the second derivative of -1\/6*j**4 + 0 + 0*j**3 + 3*j + 0*j**2. Let d(w) = -4*w - 11. What is f(d(v))?\nAnswer: -32*v**2 - 176*v - 242","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 22*h - 3678 + 774. Calculate the greatest common factor of 594 and h.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -1 + 3 - (33 - -2). Suppose -4*c = -0*c - 3*f - 195, -c - 5*f = -43. Let t = i + c. What is the greatest common factor of 6 and t?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*o + 13 = 12*w - 31*w, 0 = -4*w + 4*o - 29 + 41 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*l**3 + 250021929*l**2 + 5209246956729120*l - 5209247206751052 = 0. What is l?\nAnswer: -41670322, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 414 is divided by 228?\nAnswer: 186","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 7.5*-14.67\nAnswer: -110.025","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0.4, -224561, -1173?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -230 = -5*q + 141*y - 146*y, 5*y - 20 = 0. Solve 20*v + 38 = -q for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 39377 is divided by 169?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 2246 and 132514?\nAnswer: 2246","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 - 5 - (-48 + 67 - 42)?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 41 - 22. Suppose -3*d + c = -71. What is the units digit of d?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 374513?\nAnswer: 239, 1567","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*c**2 + 62 + c**3 - 10*c**2 + c + 3*c**2 - 58 - 2*c**4 + 4*c**4 to the form y + d*c**3 + a*c + k*c**2 + x*c**4 and give x.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 168310847 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Determine t so that t**4\/5 - 21*t**3\/5 + 4*t**2 = 0.\nAnswer: 0, 1, 20","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 8 (b) -10 (c) 0.4 (d) -27\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -450*s = -454*s - 16, -9*o - 5*s = -7 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:07 PM and 7:22 PM?\nAnswer: 315","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 236 divided by 4?\nAnswer: 59","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.1 * -1168.\nAnswer: 116.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = -v**3 + 6*v**2 + 8*v - 4. Let s be u(7). Let x be (-9)\/6*(-4)\/(-57). Which is the third smallest value? (a) -1 (b) x (c) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -7 - -12. Suppose -2*l = -t*l + 177. Is l composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2001536.5 rounded to the nearest 100000?\nAnswer: 2000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 - (-3 + (12 - (-4 + 5))).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor b**2 - 11*b - 26.\nAnswer: (b - 13)*(b + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f + 2*y = -2*y - 16, -3*y = 2*f - 16. Let k(p) = 25*p**2 - 4*p - 5. Let i be k(5). Suppose -3*o + i = -f*o. What is o rounded to the nearest 100?\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 3\/10 (b) -2 (c) -31 (d) -551\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 201731 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p = 6*p. Which is bigger: p or 5\/6?\nAnswer: 5\/6","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 232 is divided by 47?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -455*k*u**3 + 4*k*u**2 - 8*k*u + u**3 + 2*u wrt u?\nAnswer: -2730*k*u + 8*k + 6*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*c + 0 = -20 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-15)\/(1155\/44))\/(21\/147)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-7 + 5)\/((-2)\/(-3)). Let h be ((-18)\/z*-1)\/2. What is the third smallest value in 2\/27, h, -2?\nAnswer: 2\/27","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) -2\/9 (b) 0.07 (c) -12\/43 (d) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -5783880 minus 1.2?\nAnswer: -5783881.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -65 in -235, -3, 2\/11, 7?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -1.8 * -9\nAnswer: 16.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor -26*i**2\/5 - 95566*i + 6233760.\nAnswer: -2*(i - 65)*(13*i + 239760)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 81401 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 466.6031 rounded to the nearest one hundred?\nAnswer: 500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -7.99 - -6.99. Let g = 0.3 - -0.2. What is the third smallest value in 2\/7, 0.1, h, g?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = -p**2 + 6*p. Suppose 31 = 5*j + 1. Let l be n(j). Do -1\/5 and l have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 7716 + -6?\nAnswer: 7710","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) be the first derivative of m**5\/120 - m**3\/3 - 1. Let w(a) be the third derivative of n(a). Let p(t) = -68 - t + 68. Calculate p(w(h)).\nAnswer: -h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -879145\/76 - -11568. Calculate the common denominator of -125\/36 and f.\nAnswer: 684","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.027 + -0.2454. Let u = -0.0184 - l. Which is the fourth biggest value? (a) u (b) -2 (c) 2\/13 (d) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 = -b + 4*u + 3, -57 = -4*b - 5*u. Let s = b - 3. Solve -7 = 3*c - j, -s*c = -j - j + 12 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.26 in -0.07, -0.5, 0.1?\nAnswer: -0.07","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2 or 32?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -7.332 - -7.132. Which is the closest to 0.02? (a) t (b) -4\/7 (c) 5\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -9, 0, 6, -3 in decreasing order.\nAnswer: 6, 0, -3, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*(sqrt(130) - sqrt(130)*-2))\/(3*sqrt(30)\/sqrt(3)) + 4.\nAnswer: 4 + 4*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 11850 a multiple of 75?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put together -0.04 and -54118.\nAnswer: -54118.04","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -761 + 231. Let o = 2596\/5 + x. What is the common denominator of o and -26\/15?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 140001?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 x and 1 w when three letters picked without replacement from {x: 3, b: 2, w: 7}?\nAnswer: 21\/220","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 80819330 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -306.6371 rounded to 0 decimal places?\nAnswer: -307","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 3391117 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in seventeen halves of a kilogram?\nAnswer: 8500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -5 - 1d998?\nAnswer: -1d99d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -239 + 244.95. Let u = j - -0.05. Which is the nearest to -2\/5? (a) 0.1 (b) u (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-6)\/((-6)\/(-3)))\/(-1))\/1.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 12 - 9. Suppose -175 = -5*d - 5*m, d + 3*d - a*m = 154. Calculate the remainder when d is divided by 13.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 79074 + 21222 = 12*l. Suppose 0 = -3*g - 4*g + l. Let d = g + -623. Is d prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 3523690*q**3 + 12135119*q wrt q?\nAnswer: 21142140*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3256237?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 14\/16227 and -127\/1824636?\nAnswer: 16421724","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round -19297.074929 to the nearest one hundred.\nAnswer: -19300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g = 5*i - 3697, 4*i + 656*g - 652*g = 2948. What is the biggest value in -5, 0.2, i, 0.4?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -7 - -6.7. Let n = -273 - -272. What is the biggest value in n, -2, f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 52 (base 7) in base 12?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide -10327821 by 127.\nAnswer: -10327821\/127","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -5884, -8595, -13114, -19441, -27576, -37519?\n\"Answer: -904*p**2 + p - 4981","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 11011010111 (base 2) to base 7\nAnswer: 5051","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 2532 and 1234983.\nAnswer: 633","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = 4*y. Let a(p) be the second derivative of -p**3\/3 + 4*p. What is 5*a(x) + 3*u(x)?\nAnswer: 2*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from hmhmmmmkhmhhhhhhmmh. Give prob of sequence mkmm.\nAnswer: 7\/1938","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express (-5*s**2 + 3*s**2 + 4*s**2)*(0 - 4 - 8) as u*s + q*s**2 + p and give q.\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z = 11 - 39. Suppose 0 = -z*o + 4*o + 36. What is the highest common divisor of o and 84?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -143, -136, -107, -50, 41, 172?\n\"Answer: s**3 + 5*s**2 - 15*s - 134","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ii when two letters picked without replacement from yiiiiyi?\nAnswer: 10\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-91)\/(-7) + 7 + -10. Solve -25*z + o = -23*z + 4*p, z = p - 7 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = 172*m**2 + 144483*m + 2545. Calculate w(-840).\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t + 186 = -279. Let j = 226 + t. What are the prime factors of j?\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = -12*g + 8. Let y(i) = -1. Suppose 5*a = -3*s + 7, 8*s = 2*a + 6*s + 10. Let c(u) = a*h(u) - 8*y(u). Let q(x) = -13*x. Give q(c(v)).\nAnswer: -156*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 16079 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = -2*j + 1 - 2 + 0. Let a be (-41)\/8 - (-6)\/48. What is the units digit of n(a)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) be the second derivative of q**4\/12 + 5*q**2 + q. What are the prime factors of s(0)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = 2*r**2 + 8*r + 6. Let g be v(-6). Suppose 99 = 5*w - 1. Calculate the greatest common divisor of g and w.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -2124 + -2303?\nAnswer: -4431","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + sqrt(119)\/sqrt(63).\nAnswer: -1 + sqrt(17)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 131.559 and 66?\nAnswer: 8682.894","meta":{"dup_signals":{},"source":"arithmetic__mul_test"},"subset":"dm_maths"} +{"text":"Question: Express 57*l**2 + 1 - 151*l**2 + 61*l**2 - 4*l - 221*l**2 - l**4 + 6*l in the form q*l**4 + x + s*l**3 + h*l + d*l**2 and give x.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = -n**2 - 1595*n - 15859. What is j(-10)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*d - 24 = j, 0 = 3*j + 76 - 64 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = o**2 - 7*o + 8. Let t be b(6). Suppose -i = -t*i. Round i to the nearest 100000.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1.8 - -0.2. Let n = k + 2. Let m = n + -0.5. Which is smaller: m or 3?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000139 rounded to four dps?\nAnswer: 0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8 + 172 = 36*k for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 186 (base 10) to base 11.\nAnswer: 15a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -69 - -66. Let x = 7 + -5. Does 2 divide ((-8)\/w)\/(x\/3)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) be the third derivative of -7*n**4\/8 + 3*n**3 + 2*n**2 + 256*n. Let k(h) = h - 1. What is -j(z) - 18*k(z)?\nAnswer: 3*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3 - 3 - 1)*(2 + 1 + 2)*(-3*t + 2*t - t) to the form m + b*t and give b.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -127\/2002 and 43\/1041315?\nAnswer: 189519330","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -306 = 26*j - 9 - 37 for j.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + 2 + -3*(2 + sqrt(32) + sqrt(32) + -3 - sqrt(352)\/sqrt(99)).\nAnswer: -20*sqrt(2) + 8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 419 minutes after 4:57 PM?\nAnswer: 11:56 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*j**2 - 2*j + 2*j)*(4*j**3 - j**3 - 5*j**3) + 7*j**5 + 0*j**5 - j**5.\nAnswer: 10*j**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 84283 + -84296. Let s = 0.1 - 0.1. Which is the nearest to s? (a) -1 (b) w (c) 1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = 2*f**2 + 2*f**3 + 5*f**2 - 2*f**2. Let a be ((-96)\/9)\/4*(-54)\/24. Let c(y) = 6*y**2 + 0*y + 7*y**3 - 5*y**3 + 0*y. Calculate a*v(i) - 5*c(i).\nAnswer: 2*i**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-205)\/(-287))\/(2\/14). Solve -17*y = c + 114 for y.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (176\/(-4) + -2)*1\/(-2).\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = z**2 - 9*z - 61. Calculate the remainder when 127 is divided by k(-9).\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do -8\/11 and -28 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 41885?\nAnswer: 5, 8377","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -120*z = -132*z - 60 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express -151209*f**3 + 353*f - f**2 + 151208*f**3 + f**2 in the form x + a*f + o*f**2 + j*f**3 and give x.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -178, -267, -356, -445, -534?\n\"Answer: -89*r - 89","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 14521684 and 1128?\nAnswer: 87130104","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 2\/51, -2\/19, -0.22948?\nAnswer: -0.22948","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-243 - -244) + (2 - 22).\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 725 and 200?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 7 + 2bc422?\nAnswer: 2bc429","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) -8\/5 (b) -1026 (c) 0.2 (d) -1 (e) 0.1 (f) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Determine v, given that v**2\/2 + 48234*v + 1163259378 = 0.\nAnswer: -48234","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*r + y + 4*y + 4066, r - y = 1354. List the prime factors of r.\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 339967 is divided by 256?\nAnswer: 255","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*i - i + 0*i)*(38 + 190*i + 35 - 104 + 31).\nAnswer: -570*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = -z + 15. Let f = -278 + 291. Determine c(f).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = -v**3 + 155*v**2 - 142*v - 2697. Give x(154).\nAnswer: -849","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is -231\/42401 smaller than 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 10.5? (a) 0.1 (b) 29 (c) -2\/63 (d) 1\/2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -1.3, -5, -2\/3, 7.4, -9.8 in increasing order.\nAnswer: -9.8, -5, -3, -1.3, -2\/3, 7.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1635 and 105?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 52 (base 10) to base 9\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.002335965486 to 4 decimal places.\nAnswer: -0.0023","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 92326?\nAnswer: 2, 13, 53, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = -2*i + 51. Let x(a) = -a**3 - 3*a**2 + 3*a + 6. Let q be x(-5). Let m = q - i. What are the prime factors of m?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -50 divided by 120822\nAnswer: -25\/60411","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 436445641 to the power of 1\/3, to the nearest integer?\nAnswer: 759","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 119\/(-34)*3\/42. Sort 1\/4, -0.4, -2, x in ascending order.\nAnswer: -2, -0.4, x, 1\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 552517 is divided by 446?\nAnswer: 369","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gccx when four letters picked without replacement from {g: 3, x: 4, c: 5}?\nAnswer: 2\/99","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = -p**3 + 17*p**2 - 17*p + 26. Let l be k(15). What is the greatest common factor of 13 and l?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 653589 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2627 to the nearest integer?\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m\/(m\/(m\/(m*(m\/(m*m\/m**1*m))\/m)*m*m)))\/m)**(2\/53)*(m*m\/m**(-2\/5)*m)**(-48) assuming m is positive.\nAnswer: m**(-43218\/265)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*p + 34*p + 95 = 0. Which is the third smallest value? (a) 4 (b) p (c) 0 (d) 3\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i*i*(i\/i**(2\/19))\/i)\/(i**(-2\/71)\/i*i))\/((i\/(i*i**(2\/9)\/i))\/(i*(i\/((i**(2\/99)\/i)\/i))\/i)) assuming i is positive.\nAnswer: i**(550888\/133551)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4978 is divided by 1645?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = 5*i**2 + 100*i - 1485. Let d be z(12). Solve 9*y + d - 399 = 0 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 6360*l**3 + 158*l**2 + l + 1.\nAnswer: 38160","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -23, 17, 117, 277, 497?\nAnswer: 777","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 3 - 2)*(27 - 27 - 11*j)*(-2 + 2 + 3)*(2 - 9 - 1).\nAnswer: -528*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 655 minutes before 3:14 AM?\nAnswer: 4:19 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -508 - -506. What is the closest to q in -0.14, -3\/7, 2, -0.2?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.086 - -4.606. Let a = -5.02 + c. Sort -3, -38, a in decreasing order.\nAnswer: a, -3, -38","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y = -0*a - 5*a + 6, 0 = -5*y - 5. Let t(d) = 4*d - 2*d + d**2 - 2 - 12*d**a. Let m be t(-6). Round m to the nearest 100.\nAnswer: -400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide 1835?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = 12*y - 28*y + 2*y**2 + 16*y. Let k(z) = 26*z**2. Give k(s(r)).\nAnswer: 104*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1*(-14)\/14*6?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = -35*w + 272. Calculate i(5).\nAnswer: 97","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -13\/4, 30\/47, -1, -0.4, -2\/7?\nAnswer: -13\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -173*w - 165*w + 12 = 12*l - 335*w, 0 = 7*l - 4*w - 53 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 3762.356um in millimeters?\nAnswer: 3.762356","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = 231*t**2. Let o(h) = -961 + 1917 - 956 - 2*h**2. What is o(x(s))?\nAnswer: -106722*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = -13*z**3 + 15*z**2 + 9. Let h(i) = -7*i**3 + 8*i**2 + 5. Suppose -6*l - 52 = -2*l. Let x = l - -19. What is x*t(s) - 11*h(s)?\nAnswer: -s**3 + 2*s**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -110*r + 392 = -48. Solve -r*m + 167 - 183 = 0 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 156 a factor of 14894568?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1124 is divided by 189?\nAnswer: 179","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put 95, -5, -11 in ascending order.\nAnswer: -11, -5, 95","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -2 - ((4 - (-18 - -16)) + -25 + 0)\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = b**3 - b**2 - b. Let j(y) = 28*y**3 - 4*y**2 - 4*y. Determine -j(h) + 4*t(h).\nAnswer: -24*h**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4851816?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 - 5 - (4 + -2)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1539)*3)**2 + (-1 + sqrt(19))*-3.\nAnswer: -3*sqrt(19) + 13854","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = -x**3 - 3*x**2 + 9*x - 3. Let f be a(-5). Suppose -24*v + 23*v + f = 0. Suppose 0 = -v*r - 4 + 46. What is the tens digit of r?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 1\/(-5) + (-7)\/((-35)\/116). Round c to the nearest ten.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 52398?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 689 minutes after 2:57 AM?\nAnswer: 2:26 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is w in -w**4\/2 + 143*w**3 + 11951*w**2\/2 + 58482*w = 0?\nAnswer: -19, 0, 324","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 698731 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*k + 2*k + 6. Let x be k*10\/6*1. Suppose 2*a - x*a = -39. Calculate the remainder when a is divided by 7.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 3 + 0)*(-1 + 2*j + 1).\nAnswer: -6*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3 = 5*g - m + 3*m, 2*g - 5*m + 22 = 0 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Determine s, given that -s**4\/3 + 55*s**3\/3 + 78899*s**2\/3 - 3639533*s + 45761226 = 0.\nAnswer: -313, 14, 177","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2069522 is divided by 5964.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -514 + 511.7. What is the closest to b in 0.5, 5, -2\/9?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((198\/18)\/11)\/((2\/200)\/((-5)\/(-10)))?\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 162 is divided by 11.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = -o**3 - 16*o**2 - 14*o + 15. Let t be h(-15). Solve t = 2*d + 2*d + 12 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hh when two letters picked without replacement from {z: 2, h: 7}.\nAnswer: 7\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5096946818?\nAnswer: 2, 7541, 337949","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*g**3\/5 - 13228*g**2 + 264800*g - 1324400.\nAnswer: -4*(g - 10)**2*(g + 16555)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((2 - 2 - x)*(4 - 2*x - 4) + x**2 - 7*x**2 - 2*x**2)*(100*x - 1762 + 1762).\nAnswer: -600*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 3.041 - 0.041. Let g be 17\/(-7) + (3 - 1). Which is the biggest value? (a) g (b) -0.1 (c) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 100 to the power of 1\/6, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 35600 + -35572. Solve i = -4, 5*d = 3*i - 36 + l for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 5 + -3. Let k = c - 2. Let l(b) = 2*b + 31. Let p be l(-14). Solve p*s = k, -x = 4*x - 3*s for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -13 + 1055103220?\nAnswer: 1055103203","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -34252, -34195, -34136, -34075?\nAnswer: -34012","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 135, 294, 553, 906, 1347, 1870?\n\"Answer: -j**3 + 56*j**2 - 2*j + 82","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express (7*c**3 + 5*c**3 - 4*c**3)*(365*c - 43*c + 77*c + 2 - 4*c) as o*c**3 + v*c + k + r*c**2 + l*c**4 and give l.\nAnswer: 3160","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b = -0*b - 4*a - 16, -a + 3 = b. Let s(w) = w**3 - 2*w**2 + 6*w - 6. Is 25 a factor of s(b)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:41 AM and 7:29 AM?\nAnswer: 48","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 7*u - 7 + 5 - 3 - 5 wrt u.\nAnswer: 7","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5 = -2*f + 3*g, -16692*f + 2*g + 25 = -16695*f for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {k: 1, x: 1, c: 6, v: 8}. Give prob of sequence cxv.\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 47199*d**2*y**3 + d*y + 9977*y**3 + 2 wrt d?\nAnswer: 94398*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) be the third derivative of -10*r**4\/3 - r**3\/6 - 9*r**2. What is the hundreds digit of d(-2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((1 + 1 - 3)*(0 - 2 + 4) - 3 - 12 - 3 - 10 + 5 - 1 + 2 + 4 - 5 + (2 - 3 + 2)*(3 - 4 + 2))*(-49*v + 26 - 26).\nAnswer: 1176*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) be the second derivative of i**4\/12 + 5*i**3\/2 - i**2 + 4*i. Let n be x(-15). Sort 5, n, -1.\nAnswer: n, -1, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = 5*y**2 + y**2 - 1 + y**3 - 7*y**2. Let h(d) = 5*d**3 - 5*d**2 - 6. Calculate 6*a(w) - h(w).\nAnswer: w**3 - w**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = -v**3 - 5*v**2 + v - 1. Let y be o(-5). Calculate the common denominator of (-19)\/30*5\/(-2) and 19\/y*14\/4.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (4\/4)\/(2\/170). Suppose 3*t + 2*t - s = -5*r, 3*r + 29 = 2*t. Solve 4*w + 0*w = -t for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z = -5*x - 41, 66*z - 3*x = 63*z + 27. Let q = 3 - 0. Solve -3*s + 11 = 4*v, 3*v + z*s = 10 - q for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 85*d - 81*d = -2*n - 24, 4*n = -5*d - 33 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = 1111 + 1117 + w - 2229. Calculate t(2).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + 4 + 2*(2 + sqrt(180) + -1))**2.\nAnswer: 168*sqrt(5) + 769","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 412 is divided by 78?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or 1\/21217699?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2210.\nAnswer: 2, 5, 13, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(1539) + -1)*6)**2 + sqrt(1539).\nAnswer: -639*sqrt(19) + 55440","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -1\/3 (b) 4740 (c) 2\/5 (d) 2\/13\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -22358, -44809, -67260, -89711, -112162?\n\"Answer: -22451*s + 93","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(2\/3)*k)**(8\/7)*(k*k**(-2\/3))**(-43)*(k**(-1\/4)\/k**(-2\/3))**(-30) assuming k is positive.\nAnswer: k**(-349\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0.16, 16\/15, -1\/2, 42?\nAnswer: 16\/15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -0.3, -1, 0.3, -121, -63\/16, -1\/3?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*u - 6*u - 11 = -3*t, 0 = u - 3*t - 13. Let p = -64 - -63.5. Which is the closest to -1? (a) p (b) u (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i = i + 15, -5*i + 421 = 4*u. Let d = 206 - u. What is the hundreds digit of d?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1065829 is divided by 295?\nAnswer: 289","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:31 PM and 3:35 PM?\nAnswer: 184","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 137, 142, 147?\n\"Answer: 5*k + 132","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 3.2 (b) -1\/3 (c) -0.1 (d) 4 (e) -93 (f) -2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 31 + -6 + 30 + (10 - 27) + -17\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is f in -2*f**3 + 66*f**2\/7 - 36*f\/7 - 16\/7 = 0?\nAnswer: -2\/7, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -1035604402*o**4 + 705918824*o wrt o?\nAnswer: -12427252824*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 159*l**3 + l + 1 - 322*l**3 + 162*l**3 + 86*l**2 + 424*l**2 to the form y*l**3 + n*l**2 + s*l + o and give s.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express -163 + 86 + 417*n**2 + 77 as t*n + q*n**2 + v and give t.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((a\/(a\/(a\/(a*a**(-3)*a)))*a)\/a)**(1\/3)\/(a\/((a\/a**14)\/a))**(-37))**(-7) assuming a is positive.\nAnswer: a**(-11669\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Divide -309 by 122639.\nAnswer: -309\/122639","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.049 and -25.\nAnswer: 1.225","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = -g**2 - g + 2. Let p be x(2). Suppose 2*c - 3*c + 62 = 0. Let s = c - 56. Sort p, s, -2.\nAnswer: p, -2, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = 16*v - 44. Calculate the remainder when 63 is divided by w(5).\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = -92*u**2 - 62*u**2 + 22*u**2 - 34*u**2. Let z(i) = -i. Give a(z(f)).\nAnswer: -166*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 1\/5, 1\/11, 2\/31, 1.11, -3, -2\/13?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 998 is divided by 247.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 109195?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = s**3 + 17*s**2 - 21*s + 16. Let v be w(-19). Let o = -102 - v. Calculate the lowest common multiple of 9 and o.\nAnswer: 1845","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/2, 0, 2, 3\/4, 17, 3228 in decreasing order.\nAnswer: 3228, 17, 2, 3\/4, 1\/2, 0","meta":{"dup_signals":{},"source":"comparison__sort_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -3115 = 6*p + 833. Let f be (-4)\/6 + p\/21. Let r = f + -27. Is -59 at most as big as r?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1388042345?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.2? (a) 0.5 (b) 6\/185 (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -205*m + 148 + 98*m - 220*m + 99 + 0*m with respect to m.\nAnswer: -327","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 60920?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 714 - -1 - (-16 - -20). Let v = t - 477. List the prime factors of (4\/(-8))\/((-3)\/v).\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 60582 + -326718728\/5393. Which is smaller: -1 or d?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 147*o - 1647 - 2666 = -50 for o.\nAnswer: 29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 106989.\nAnswer: 3, 19, 1877","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does 38 divide 41902?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(1\/6)\/w)\/w*w\/(w\/w**(4\/19)) assuming w is positive.\nAnswer: w**(-185\/114)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 210491 a multiple of 47?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 18639 + -14423. Which is smaller: 4215 or r?\nAnswer: 4215","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = -15*c - 80. Let l be o(-6). Let s(r) = r**3 - 8*r**2 + 6*r - 8. What are the prime factors of s(l)?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -237*d = -1715 + 186 + 107 for d.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -101 (base 2) in base 3?\nAnswer: -12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 46 - 47. Which is the biggest value? (a) 1 (b) -1\/4 (c) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = -19*d - 625. Let m be o(-33). Solve -34*q + m = -33*q for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -35*(-30)\/(-70)*3\/(-3)\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -40, 4, -3229, -5, 2 in ascending order.\nAnswer: -3229, -40, -5, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 29 + 44 - 29 + h**2 - 2*h**2 to the form s*h**2 + m + f*h and give s.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -172 = -2*r - l, 0*l - 352 = -4*r - 4*l. List the prime factors of (r\/(-10))\/((-21)\/140).\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) 5\/49 (b) 0.4 (c) 1 (d) 3 (e) -3\/5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-15599261*d + 5328*d**3 + 15599261*d)*(2 - 1 + 1)*(5 - 4 + 0).\nAnswer: 10656*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 982*m = -2*t + 491*m + 489*m - 2, 4*t = 5*m + 23 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/32 of a gram in micrograms?\nAnswer: 93750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 185 minutes after 9:14 PM?\nAnswer: 12:19 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 0 + 1)*(2*w + 2*w**3 - 2*w).\nAnswer: -2*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -85547.61891 rounded to 0 dps?\nAnswer: -85548","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13*m + 16*m - 3 = 0 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -49*d**3 + 1912*d + 151153?\nAnswer: -147*d**2 + 1912","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) be the second derivative of -152*u**3\/3 + 2*u**2 + 45*u. What are the prime factors of c(-1)?\nAnswer: 2, 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16 = 5*z - 56. Suppose -3*o - 4 = -4*l, -l + z = o - 0*l. Let h(n) = -4 + o*n**2 - 2 + 2 + n**3 + 0 - 4*n. What is h(-4)?\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -80, -177, -366, -659, -1068?\nAnswer: -1605","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = b**3 + 8*b**2 + 9*b + 16. Let s be n(-7). Suppose 3*t + c - 6 = -0*c, -4 = -2*t + s*c. Solve -u = 2 + t for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = 2*s**2 - 34*s + 23. Suppose 6*m - 135 = -3*m. Let z be f(m). Let u = -53 - z. Is u at most as big as -15?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 19? (a) -5 (b) 4 (c) 0.0924 (d) 5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -11\/114464 and 163\/3024.\nAnswer: 3090528","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(sqrt(2)*-6 + sqrt(2) + -1 - ((sqrt(2) - (sqrt(4)\/sqrt(2))**2) + 3))*1.\nAnswer: -6*sqrt(2) - 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = o**3 + 329*o**2 + 2231*o - 189. Determine x(-7).\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 0.1 + -224258924026\nAnswer: -224258924025.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 4*5*10 - (-29 + 34). Does n = 195?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1085 a factor of 36733764?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = -u**2 + 10*u - 8. Let r be p(8). Let b be (-14)\/(-6) + r\/(-24). Solve 4 = b*l - 4 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 75153 divided by 47?\nAnswer: 1599","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1435\/(-35) + 9 + 18.\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 8*j - 6*j - 37*j**2 + 30*j**2 + 15*j wrt j?\nAnswer: -14","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.21 + -0.36. Let s = t + 0.1452. What is s rounded to three decimal places?\nAnswer: -0.005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(45)*3 - ((sqrt(5) + -6*sqrt(45) - sqrt(5)) + -1))**2 + -2 + sqrt(35)\/sqrt(63) + -4 + 3.\nAnswer: 217*sqrt(5)\/3 + 6478","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in nineteen quarters of a micrometer?\nAnswer: 4750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 0.2, -99, -3, 4\/7, 35.1?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 3*3*(-16)\/(-36). Solve g*s - 5*t - 45 = 0, 0 = s - 4*t + 2*t - 15 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -61184 * 0.4.\nAnswer: -24473.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.104228 - 0.1973.\nAnswer: -0.301528","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 6.01 - 6.0205. What is n rounded to two decimal places?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 40485765 a multiple of 79?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 0, -1, 55 in increasing order.\nAnswer: -1, 0, 4, 55","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Determine i so that i**4\/2 - 29*i**3 + 611*i**2\/2 + 3299*i + 6324 = 0.\nAnswer: -4, -3, 31, 34","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 10*q*r**2*y**2 + 28*q*r**2*y - 13517*q*r*y**2 - 12*q*r*y + q - 4*r*y + 9*r wrt y.\nAnswer: 20*q*r**2 - 27034*q*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 + 4 = 2*x - 5*f, f = -5*x - 23. Let w be 32\/6*24\/16. Suppose 1 = -3*n - w. Is n smaller than x?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in twenty-seven quarters of a microgram?\nAnswer: 6750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 2, -5, 1, 16 in decreasing order.\nAnswer: 16, 2, 1, -1, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 28\/10 - 3\/(-15). Suppose 2*o = -2*d + 146, 5*d + 5*o = p*o + 377. Is d prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(891) + 0 + -4 + sqrt(891).\nAnswer: -4 + 18*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 570 minutes before 4:12 PM?\nAnswer: 6:42 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 44 minutes after 2:56 AM?\nAnswer: 3:40 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = 3*g - 10. Let l(p) = 2*p - 5. Suppose 3*t - 7 = 4*y, 5*y - t + 5 = 4*t. Let f(c) = y*n(c) + 7*l(c). Does 13 divide f(8)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -267 (base 9) to base 7.\nAnswer: -436","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -305bd18 - 0?\nAnswer: -305bd18","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 86 is divided by 62.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -17*x**3 + 16*x**3 - 2*x + 0*x**2 + x**2 to w*x + p + y*x**2 + q*x**3 and give y.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 488 smaller than 486?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1310217015?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = -13*n**3 + 44*n**2 - 35*n + 11. Let x(j) = -3*j**3 + 11*j**2 - 9*j + 3. Let u(v) = -2*r(v) + 9*x(v). Let a be u(10). Is a\/2*3676\/(-10) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -4 - 14799dc3?\nAnswer: -14799dc7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = 3*o. Suppose 3 = 4*m - 9. Let x(l) = -m*l**2 + 43*l - 43*l. What is z(x(q))?\nAnswer: -9*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -48 = -4*d - 44 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (12\/(-21))\/(30\/105).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 24595 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 3499\/13 + -269. Let d = -662 - -4632\/7. Let x = 81 - 245\/3. Which is the nearest to d? (a) 4 (b) x (c) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x = -w - 1, -w = -x + w + 2. Let s be (-22)\/(-8) - 2\/(-8). Solve 3*p - 4*p + 5 = x, s*n + 3*p = 3 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*((sqrt(847)*-2*2 - sqrt(847)) + 1 + sqrt(847) + 0) + (sqrt(847)*3*-1 - (-1 + sqrt(847)*3)))**2.\nAnswer: -2420*sqrt(7) + 409973","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 299994481 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = -b**2 + 995*b + 22385. Give h(-22).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = 13*y**2 + 2378*y - 231. Give h(-183).\nAnswer: -48","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*h = -2*h + 84. Calculate the remainder when h is divided by 3.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z = 32 - 88. Let r(a) = a - 5. Let g be r(z). Let o(t) = -t**3 - 3*t**2 + 3*t - 1. Let c be o(-4). Solve 3*k = -4*p + 11, 2*k = -2*p - c*k + g for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 30\/35 - (-38246)\/182.\nAnswer: 211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a*(a\/a**(1\/2))\/a*a)**43\/(a*(a*(a*a**(-1))\/a*a*a*a)\/a)**(-2\/91) assuming a is positive.\nAnswer: a**(11751\/182)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = 5*t**2 + 450*t + 535. What is the units digit of n(-97)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (1*-7)\/(-1) + (-166 - -155)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(6\/5)\/(z*z\/(z\/z**(-5))*z))\/((((z\/z**21)\/z)\/z*z)\/(z**(-2\/39)\/z)) assuming z is positive.\nAnswer: z**(4709\/195)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express (-g + 2 - 2)*(-2 - 32 - 10)*(87*g**2 + 10*g**2 + 48*g**2)*(g - 2*g - g) in the form x*g + t*g**4 + z*g**2 + a + b*g**3 and give b.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Determine a so that -9*a**5\/5 - 16107*a**4\/5 - 103128*a**3\/5 + 6870708*a**2\/5 + 4621536*a\/5 = 0.\nAnswer: -1783, -24, -2\/3, 0, 18","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -2178.7 - -2179. Which is the biggest value? (a) -3 (b) u (c) -12\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 18\/5 of a millimeter in micrometers?\nAnswer: 3600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 49 + -49. Let w(q) = -3*q - 2. Suppose -7 = f - 3. Let v be w(f). Solve n = i - 6*i - v for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -7884 not equal to 595.69?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i - 3*i - 1976006 = -n, 0 = -n - 4*i + 1975988. Round n to the nearest 100000.\nAnswer: 2000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -6*f**2 - 3*f + 3*f + (-2 + 2*f + 2)*(-6*f - f + 4*f) + f**2 + 0 + 0 as u*f**2 + d*f + j and give u.\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = -o + 27. What is m(29)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 0.235 (b) -8 (c) -0.4 (d) 0.2 (e) 0.4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -141962811 - -0.2.\nAnswer: -141962810.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 113\/114 and 61\/10.\nAnswer: 570","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 5.08891 rounded to two decimal places?\nAnswer: 5.09","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 1\/(8\/(-10) + 1). What is the third derivative of -5*n**j + 126 + 3*n**2 - 126 - 4*n**5 wrt n?\nAnswer: -540*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6 + 1 - 1 - 2?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -63371 != -443600\/7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -80195, -80193, -80191, -80189, -80187?\n\"Answer: 2*o - 80197","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = 3*p**4 - 4*p**2 + 2*p. Let h(w) = 4*w**4 - 4*w**2 + 3*w. Let x = 8 + -5. Let b(u) = x*k(u) - 2*h(u). Find the third derivative of b(y) wrt y.\nAnswer: 24*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 66771 and 173367?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express -323631*x**3 - 6*x**2 + 323632*x**3 + 41 - 3*x**4 - 9 - 2*x as r + y*x + o*x**3 + z*x**2 + l*x**4 and give r.\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = 2*z**3 + 2*z**2 - z + 2. Suppose -2*c = 2*i + 12, -21 = 5*c + 4*i + 5. Determine o(c).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = 7*i - 5. Let q(o) = -20*o + 15. Let v(c) = 7*a(c) + 2*q(c). Let p(l) = -14*l + 8. What is 5*p(t) + 8*v(t)?\nAnswer: 2*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.8 - -0.3. Let r = 14 + -13. Which is the nearest to r? (a) n (b) 2\/5 (c) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = -m**3 - 22*m**2 - 35*m + 17. What are the prime factors of i(-24)?\nAnswer: 7, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or 2\/18143?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = -2*y - 216. Let b(k) = 6341*k + 2. Calculate d(b(l)).\nAnswer: -12682*l - 220","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = -9*y - 4 - 62*y**3 + 63*y**3 + 8 - 8*y**2. Let i be v(9). Sort -2, i, 3 in increasing order.\nAnswer: -2, 3, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (3\/(-3))\/1*-25. Let q = g + -19. Suppose -5*h + m + 335 = 0, -2*h - 4*m = -0*h - 112. Calculate the highest common divisor of q and h.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is c in -c**5\/3 + 21979*c**4\/3 - 40274675*c**3 + 603263209*c**2\/3 + 1689998366*c\/3 = 0?\nAnswer: -2, 0, 7, 10987","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is (5\/(-20))\/((-117)\/208)?\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 53 + -52. Let v(l) = 53*l**2 - 4*l + 3. List the prime factors of v(z).\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 2555.3549 to the nearest 100.\nAnswer: 2600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fwwf when four letters picked without replacement from {w: 7, f: 7}.\nAnswer: 21\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*h + 3*h - 38 + 38 + 2*h.\nAnswer: 2*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 1\/2, 8, -0.5, 5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -805 in -4, -1\/6, 5, 0.1?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 f when two letters picked without replacement from flnflnsnfllff.\nAnswer: 5\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 2535 to the power of 1\/3, to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put -3\/2, -2, -2987, 2 in decreasing order.\nAnswer: 2, -3\/2, -2, -2987","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -6746 - -7030. What is the remainder when r is divided by 4?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*b**3\/17 - 6*b**2\/17 - 2*b\/17 + 6\/17.\nAnswer: 2*(b - 3)*(b - 1)*(b + 1)\/17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -10288\/3269 - -2\/467. Let q be 56\/100*2\/(-4). Let g = q - 461\/50. What is the common denominator of g and m?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 12001030 (base 4) to base 3\nAnswer: 1020211001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 3241\/(-69) + ((-17816)\/(-4692))\/(-131)?\nAnswer: -47","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 314 is divided by 159?\nAnswer: 155","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 35 = o + 2*c, 3*c + 65 = 2*o + 2*c. Suppose 5*i + 11 = 56. Calculate the remainder when o is divided by i.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1.3 - -0.9. Let u be (-374)\/792 + (-3)\/(-12). Which is the smallest value? (a) u (b) -2 (c) d\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 23264 to the power of 1\/4, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o = 2*p + 11 - 33, -2*p = 4*o - 62. Let u(v) = 4*v + 7. Let i(c) = 5 + 5 - 11 + 3 + c. Let q(z) = p*i(z) - 6*u(z). Let g(j) = j**2. What is q(g(k))?\nAnswer: -3*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -1.34 (b) 161 (c) -2\/35\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 55*z**3 + 62*z**3 - 178*z**3 + 310*z**5 - z**4 + 61*z**3 + 1465*z**2 wrt z.\nAnswer: 18600*z**2 - 24*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 7*o**3 - 73*o**2 + o + 6848.\nAnswer: 42*o - 146","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((4 - 4 - 1)*(-4 + 3 + 3) + 4 + 3 - 4 - 72 - 224 + 8)*(3*w + 0*w - 2*w).\nAnswer: -287*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -41 + 45. Solve -w*m + 16 = -g, 26 + 6 = 4*m + 3*g for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 69544701 to the nearest integer?\nAnswer: 411","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 133*c + 7*c**2 - 267*c + 130*c to the form z*c + f + r*c**2 and give r.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -2, -14, 35, -0.4, -8\/5, 1\/6, 0.8?\nAnswer: -8\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 1\/(-3)*(4 + -4). Let z = 10 + q. Let c be z\/5*2\/(-4). Sort -3, c, 0.\nAnswer: -3, c, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 1\/16 of a tonne?\nAnswer: 62500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*t - 3*t + t)*(108 + 2 + 39)*(t**2 + 3*t**2 - 2*t**2).\nAnswer: 596*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(sqrt(84)*-3*-3)\/(sqrt(432)*2)*1.\nAnswer: -3*sqrt(7)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*y**3 + 2*y**3 - 6*y**3)*(28 + 21 - 15)*(-2*y + 2*y + 4*y).\nAnswer: -136*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = -y - 7. Suppose z - 6*z + 10 = 0. Suppose -2*s - z*j = -6, 5*s - 4*j - 38 = 4. Determine w(s).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3290 to the nearest integer?\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express 92 - 38*r + 21*r - 11 - 190*r**2 + 19*r + 189*r**2 as o*r + q + u*r**2 and give q.\nAnswer: 81","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round 270105.7 to the nearest 100.\nAnswer: 270100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -39 + 56. Let w = 9536 - 9403. What is the remainder when w is divided by n?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -56 (base 14) in base 3?\nAnswer: -2211","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 639395491?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -36 - -50. Let p = f + -7. Solve -p = -5*n + z + z, n - 4 = 3*z for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -31*w - 64 = 122 for w.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 198369 to the nearest integer?\nAnswer: 58","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 232936?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 369966758\/13 or 28458980?\nAnswer: 28458980","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put -15, 0, 32073 in increasing order.\nAnswer: -15, 0, 32073","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -57.3 + 1.3. Let x = s - -70. Does -0.3 = x?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 117, 1035, 3521, 8361, 16341?\n\"Answer: 131*l**3 - 2*l**2 + 7*l - 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 539702717 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.73 - 4.73. Which is the nearest to 0? (a) -0.37 (b) 2 (c) p (d) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -16*h - 8*h**2 + 18*h + 62 - 63 + (0*h + h + 0*h)*(-h - 2*h + 2*h).\nAnswer: -9*h**2 + 2*h - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -2*(-10)\/40*(-4)\/6?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -34520 + 34519.952347. What is b rounded to three decimal places?\nAnswer: -0.048","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o = -2*f + 580, 383 = 5*o - f - 212. Calculate the lowest common multiple of o and 11.\nAnswer: 1298","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.17039 to two decimal places.\nAnswer: -0.17","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 470792 and 1708.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*q = -2*m - 20, -111*q = 5*m - 108*q + 50 for m.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = 39*f**2 + 46*f + 57. Calculate the smallest common multiple of d(9) and 18.\nAnswer: 10890","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*sqrt(125)*-1*6)**2.\nAnswer: 40500","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Divide 552183 by 5.\nAnswer: 552183\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 38 and 0.1261.\nAnswer: 4.7918","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 2102813 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 4301997?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = 6277*r - 213429. What is u(34)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -8 + 1 + 7 + 2\/(-8). Let s be 8\/4 - (-1 - 4). What is the second biggest value in r, s, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(5*((-2*sqrt(400))\/sqrt(10))\/sqrt(2) + 3)**2.\nAnswer: -2009 + 120*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -9eff (base 16) to base 15\nAnswer: -c0d8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 394.4 plus 228.2?\nAnswer: 622.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 412 divided by 4\nAnswer: 103","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.48 - -0.28. Let h = 1.1 - 1. Let s = -5 + 0. What is the closest to h in s, n, 2\/15?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -228 = 3*s + 31257*d - 31262*d, s - 3*d + 72 = 0 for s.\nAnswer: -81","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3445 = 19*i - 14*i. Is i composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = 36*r + 229. Determine c(4).\nAnswer: 373","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = u**2 - 6*u + 5. Let d(r) be the first derivative of -r**2\/2 + r + 2020. What is 4*d(g) - h(g)?\nAnswer: -g**2 + 2*g - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in 0.4, -22\/513, 18, -0.3?\nAnswer: -22\/513","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 6\/(-18)*-15 - -14*(-17)\/2. Which is greater: -1958\/17 or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(36) - sqrt(324)*2 - (sqrt(36) - sqrt(216)\/(sqrt(6)*1)))*-4)\/(((sqrt(144)*-2 - sqrt(144))*-6)\/(sqrt(96)\/(sqrt(32)\/sqrt(4)))).\nAnswer: 10*sqrt(3)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 1, u: 1, g: 2, m: 4}. Give prob of sequence gm.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 r when two letters picked without replacement from {l: 4, v: 1, r: 2, q: 2}?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -679100 = -3*r - 3619100. What is r rounded to the nearest 100000?\nAnswer: -1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 936, 1242, 1560, 1890?\n\"Answer: 6*i**2 + 288*i + 642","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 70180*s*y**2 + 11*s*y - 8*s - 7*y wrt y.\nAnswer: 140360*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1271179 and 126?\nAnswer: 22881222","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence llll when four letters picked without replacement from lllllll.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-144)\/30 - (48\/(-6) + 3). Let d = 0.9 - 0.6. What is the third smallest value in d, g, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -12397 divided by 1?\nAnswer: -12397","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -44*q + 38*q - 18 = 0 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*b = -b + 15. Let q = 7775\/11 - 707. What is the closest to q in 0.1, 5, b?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) be the third derivative of -5*b**8\/1008 - b**7\/126 + b**6\/72 + b**5\/36 - 19*b**2. Suppose s(o) = 0. What is o?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 95918 and 24341.\nAnswer: 241","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -53 - 642?\nAnswer: -695","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.2 and 90432?\nAnswer: -18086.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 7228 and 346544653.\nAnswer: 1807","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express -10*k - 33*k**4 + 13*k**4 + k**3 - k**2 + 13*k**4 + 9*k**4 in the form j*k**4 + r + x*k + g*k**3 + s*k**2 and give j.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 17445 a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1775*z - 893*z - 894*z.\nAnswer: -12*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -23447764 - -148.487.\nAnswer: -23447615.513","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 14748602 to the power of 1\/6, to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j*j*j**(-6))\/j**(-1\/6))**35\/((j**1)**(-33)*(j**0)**(-34)) assuming j is positive.\nAnswer: j**(-607\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r**(-8))**(-19\/4))**(-2\/15) assuming r is positive.\nAnswer: r**(-76\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 106, 117, 164, 271, 462, 761, 1192?\n\"Answer: 4*s**3 - 6*s**2 + s + 107","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = h**3 - 23*h**2 + 47*h - 101. Let n be k(21). Solve -n*y + 12 = f, -2*f + 0*f - 4*y = -8 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 21472*b**2 + 117005*b**2 - 2 + 2.\nAnswer: 138477*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 3\/((-1)\/1)*-14. Suppose 0 = -x - 0*x + r. Calculate the remainder when 3162\/x + 4\/(-14) is divided by 19.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -35*k**3 - 37\/5*k + 29*k**2 + 3\/5.\nAnswer: -(5*k - 1)**2*(7*k - 3)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 21\/8 of a millennium?\nAnswer: 31500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = -r**3 + 9*r**2 + 9*r - 29. Determine p(9).\nAnswer: 52","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -71, -88, -115, -158, -223, -316?\n\"Answer: -a**3 + a**2 - 13*a - 58","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -3108 > -3020?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*u - 11*u = 35834. Find the common denominator of 151\/66 and 2\/(-24)*u\/69.\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -4*(-10)\/(-7 - -5). Suppose -56 = -4*k + g - 4*g, -4*k + 4*g + 56 = 0. What is the smallest common multiple of k and (88\/(-14))\/(o\/70)?\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 37652 a multiple of 613?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*y = 14*y - 60 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x = 5*y - 102 + 32, 0 = 4*y - 2*x - 56. Calculate the remainder when 39 is divided by y.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*g + 2*v + 12, 0 = 3*g - 2*v + 5*v + 6. Suppose g*s + 15 = 7*s. Let c = s - 4. Let k(i) = i - 1. Give k(c).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*q - 3*q + q)*(-3*q + q + 0*q) + 2141*q**2 - 312 + 121 - 2143*q**2.\nAnswer: 2*q**2 - 191","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -x - 3*j - 5 = 0, -1004*x - 4*j - 100 = -1012*x for x.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve a - 1078 + 1076 = -2*m, -4*m = a + 1 - 3 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 38*((-42)\/12 - -1). Is 39 a factor of (3 + v\/(-3))\/((-6)\/(-27))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -2805 - -2927. Calculate the remainder when v is divided by 32.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 175.949 nanometers?\nAnswer: 0.000000175949","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -295445*k**3 - 282701 wrt k.\nAnswer: -886335*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 8327 a multiple of 52?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 608501 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 16\/(-28)*35\/(-10).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = -0*i + 2*i. Suppose -7*v - 12 = -i*v. Let z = 0.01 - -0.09. Which is the closest to -0.1? (a) 0 (b) v (c) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -4957 and 3.\nAnswer: -14871","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14 = 3*r + a, 0*a + 4*a = 4*r + 8. Let k(i) = 11*i - 4. Let c(s) = -12*s + 4. Let p(v) = r*c(v) + 4*k(v). Differentiate p(u) with respect to u.\nAnswer: 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*f + 46 - 62. Put 15, f, 0 in decreasing order.\nAnswer: 15, 0, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = 1186*c**2 + 1633*c. Let h(x) = 395*x**2 + 544*x. Let u(o) = 2*f(o) - 7*h(o). What is the second derivative of u(m) wrt m?\nAnswer: -786","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:40 PM and 6:32 AM?\nAnswer: 592","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) be the first derivative of -2*m**3\/3 + 2*m**2 + 4*m - 2. Let f be (-9)\/2*(-8)\/6. Let t(w) = -11 - 7*w - 3*w - w + f*w**2. Calculate 11*l(o) + 4*t(o).\nAnswer: 2*o**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = -k**3 + 13*k**2 - 22*k. Let g be z(11). Suppose 2*i - 3*a - 7 = 0, -4*a = 2*i - 58 + 16. Let d = i - 9. Put -5, g, d in increasing order.\nAnswer: -5, g, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 47528884 and 3718.\nAnswer: 522817724","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -10*a*j**3*k**3*r + 3*a*j**3*k*r - a*j**3 + a*j**2*k*r - 3*a*j*k**3 - 2*a*k**3*r - 2*j**2*k**3 - 2*k**3 wrt j.\nAnswer: -60*a*k**3*r + 18*a*k*r - 6*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does -677979 = -677979?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*q**4 + q - q)*(4*q + q - 6*q) + 2*q**5 - 4*q**5 + 0*q**5 + (-1549*q**3 + 147*q**3 - 219*q**3)*(2 - 2 + 2*q**2).\nAnswer: -3246*q**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(-8\/7)*y*y\/(y*(y*(y\/(y\/y**33*y)*y)\/y*y)\/y*y*y)*y)**(-2\/11) assuming y is positive.\nAnswer: y**(478\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = -u**3 + 17*u**2 - 11*u - 9. Let z be r(17). Let a be (z\/(-5))\/((-2)\/(-5)). What is the highest common factor of 14 and a?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -11516 divided by 644?\nAnswer: -2879\/161","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 66.64 + -70.74. Is -0.026 greater than or equal to i?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 179 is divided by 15?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -m - 3 + 2 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -258*y + 1 - 386*y + 12 - 88*y.\nAnswer: -732*y + 13","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 244 minutes before 4:25 PM?\nAnswer: 12:21 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -830993760 or -830993759?\nAnswer: -830993760","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1114895 is divided by 44?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -3 + 3 - (-3)\/(-1). Let w = o - -5. Suppose 86 = 3*p + 5*l - 9, w*p - 3*l = 38. What is the tens digit of p?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3 + 8 + 12*r - 10*r - 2 - 3*r**3 to the form x*r**2 + h*r**3 + d*r + p and give d.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 194690 - 194690 + k.\nAnswer: k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is three tenths of a kilometer in meters?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 5765115356 + -3?\nAnswer: 5765115353","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -10 - -20. Suppose -f + 0 = -5*t. Suppose t*q + 10 = 0, 14 + 15 = g - 4*q. What are the prime factors of g?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 224492284?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*l - 11 + 26 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 65 (base 7) to base 2.\nAnswer: 101111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 760\/576 - (-124)\/(-279)?\nAnswer: 7\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -115\/364 and -43\/6318.\nAnswer: 88452","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h = 11*h - 221. Suppose 0 = 3*j - 4*p - 33 - h, 2*j = -4*p. Solve -3*o + j = -2 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1278109?\nAnswer: 7, 182587","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*n - 5*s - 37 = 0, 2*n - 17 = 5*s - 0 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2*sqrt(112)\/sqrt(2) - -4*sqrt(280)\/sqrt(5))\/((sqrt(168)\/sqrt(3))\/sqrt(7) + sqrt(8) + (sqrt(8) - (sqrt(8) - (sqrt(200)\/sqrt(5))\/sqrt(5)))))**2.\nAnswer: 28\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-12)\/5 + 2)\/(2\/(-20)). Let x(t) be the third derivative of 1\/20*t**6 + 0*t**3 + 1\/8*t**q + 3\/20*t**5 + 0 + 0*t + 2*t**2. Factor x(i).\nAnswer: 3*i*(i + 1)*(2*i + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 55\/9, -1\/4, -1\/3 in descending order.\nAnswer: 55\/9, -1\/4, -1\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10 = 5*h - 25 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -70011, -70001, -69991, -69981, -69971?\nAnswer: -69961","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 285272 and 109512.\nAnswer: 1352","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -383*z = -385*z + 10 + 16 for z.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from cccboccbwgwc. What is prob of picking 2 b and 1 c?\nAnswer: 3\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 124 (base 6) to base 9\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -21993285*i**2 + 18*i + 785208?\nAnswer: -43986570","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x**3 + 280314808*x**2 + 9822048948009608*x = 0. Calculate x.\nAnswer: -70078702, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -179 + 177. Let y(a) be the first derivative of 10*a**3\/3 + 3*a**2\/2 + a + 1. Is 11 a factor of y(i)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 32131.1484 and 0.01?\nAnswer: 32131.1384","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*t**4 + 24*t**3 - 104*t**2 + 192*t - 128 = 0. What is t?\nAnswer: 2, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round -152276.4 to the nearest 1000.\nAnswer: -152000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 18\/(-5)*(-680)\/2992. Which is smaller: 0 or i?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:01 PM and 10:01 AM?\nAnswer: 660","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) be the first derivative of n**4\/4 + n**3 + n**2 - n + 8. Give y(-3).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((2226\/126)\/53)\/2?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.75 - 0.8. Round r to one dp.\nAnswer: -0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = 2*g + 17. Let z be b(-7). Suppose 2*f + 8 = -u, 0 = 3*u - 3*f - z. Let s be (-1)\/(70\/15*8*(-9)\/(-1092)). Which is smaller: s or u?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -1048187*r**4 - 2*r**2 - 3*r + 29027 wrt r?\nAnswer: -25156488*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) be the third derivative of -6701*u**4\/24 - 2789*u**3\/3 - 82*u**2 + 17. Find the first derivative of n(i) wrt i.\nAnswer: -6701","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 54156 to the nearest integer?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -12 (base 6) to base 12\nAnswer: -8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -52029222 divided by -6?\nAnswer: 8671537","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -4, -10, -16?\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 248 and 112.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x + o + 1 = 4*x, 3*x + 4*o + 2 = 0. Suppose -4*t = -3*t + 5. Let c = -5 - t. Is x < c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -9, -0.1, 1, -1, 0.6.\nAnswer: -9, -1, -0.1, 0.6, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -365 + 364.6. Let h be (((-45)\/(-12))\/(-5))\/(69\/(-46)). Which is the second smallest value? (a) n (b) -3\/13 (c) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1.77 * -698.567\nAnswer: -1236.46359","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 127\/24 and ((-1)\/3)\/(1\/(2\/(-5))).\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = -v**3 - v**2 + v. Let t(a) = 9*a**4 - 37*a**3 + 25*a**2 - 7*a + 2. Let c(d) = 3*t(d) - 24*w(d). Solve c(j) = 0 for j.\nAnswer: 2\/9, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.05 in 1\/8, -15, -2, 1?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(240)\/(sqrt(10) - sqrt(160)))\/(sqrt(36)\/sqrt(3)*3) - -2*sqrt(36)\/sqrt(2)*6.\nAnswer: 323*sqrt(2)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*s + 11990 - 11563 = 0 for s.\nAnswer: -61","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.105 + -0.08. Let l = g - 1.025. Which is the closest to 2\/5? (a) -2 (b) -5 (c) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 8 + (-2 + 4)\/2. Suppose -3*m + l = -3. Suppose -3*s + 5*v = m*v - 4, -3*v = 3*s. Put 4, s, -1 in increasing order.\nAnswer: -1, s, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = -21*t**3 - 2*t**2 + 216*t + 845. Give z(-4).\nAnswer: 1293","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -29 + 41 - 5*u**3 - 6*u**3 wrt u?\nAnswer: -33*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 2 - 0. Suppose -j*i = -5*i. Suppose 3*u + 54 = 3*x, -4*x = u - i*u - 67. Is 6 a factor of x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-52)\/(-14) - (8\/(-7))\/4. Suppose 36580004 = j - g, 0 = -s*g - 0*g - 16. What is j rounded to the nearest 1000000?\nAnswer: 37000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify u*u**(2\/9)*u**(-5)*u**(5\/3)\/u**(4\/7) assuming u is positive.\nAnswer: u**(-169\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -9 + -1 + (-14 - (-18 + 3)) + -11.\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l + 10 = -0*l. Suppose 5 = -f + 7. Let c(h) = h**l + 2*h**f + 4*h**2. Let r(w) = -w. Calculate c(r(o)).\nAnswer: 7*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 41 - 81?\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 23 divided by -86\nAnswer: -23\/86","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*g + 22*g - 45 = 0. Solve g*o + 32 - 22 = 0 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -427*b*p - b + 2533*p wrt b?\nAnswer: -427*p - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 236 is divided by (-18)\/(252\/(-350)) + (-1)\/(-1)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 752584 to the power of 1\/3, to the nearest integer?\nAnswer: 91","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 20371.\nAnswer: 13, 1567","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*l + 9 - 0. Suppose -2*d + 1495 = l*d. Is d composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g + 6*i = i - 10, 4 = 4*g - 5*i. Suppose 9*q + g = 12*q. What is the units digit of (-1 - 3\/2)*(q + -4)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 = 7*y - 28. Solve 2*k + 8 = -2*z, -y*k - 5 = 3*z + 5 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 608 divide 899232?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 9914152?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6 - (-2 + 0 + -2).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 209*s + 34*s + 339*s - 16878 for s.\nAnswer: 29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 111100, 111097, 111092, 111085, 111076, 111065, 111052?\n\"Answer: -t**2 + 111101","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -552522, -1105210, -1657904, -2210604, -2763310, -3316022?\n\"Answer: -3*p**2 - 552679*p + 160","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from olpoopop. Give prob of sequence pppo.\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*j + 360 = -29*j + 8*j for j.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*u - 3*u = -9. Suppose 3*v = -3, -4*f = f - u*v - 18. Suppose f*q + 21 = 4*q. What are the prime factors of q?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -0.0532, 0.02, -0.16, -0.2, -4, 2?\nAnswer: -0.0532","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b + g = -3085, 2*g - 6945 + 771 = -4*b. Is b prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) be the second derivative of -k**3\/2 - k**2\/2 + 2*k. Let x(r) = 7*r + 2. Suppose -27*h + 185 - 77 = 0. Determine h*x(i) + 9*y(i).\nAnswer: i - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 193599953 is divided by 5?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 572 - 569. Put t, -35, 2, -1 in decreasing order.\nAnswer: t, 2, -1, -35","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*h - h**5 + 0*h + (2*h**4 + h**4 + 0*h**4)*(-3*h + 2*h + 0*h + (-1 + 3 + 0)*(h - 5*h + 2*h) - 2*h - 1 + 1).\nAnswer: -22*h**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = 46*i. Let f(w) = -5*w**2 + 21. Determine q(f(o)).\nAnswer: -230*o**2 + 966","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 115369.633 rounded to the nearest 100?\nAnswer: 115400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 5724 divided by 1431?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = -241*v + 5402. Let f = 12 - -5. What is the remainder when m(22) is divided by f?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is one sixth of a millennium in months?\nAnswer: 2000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ffyy when four letters picked without replacement from {y: 10, f: 4}.\nAnswer: 45\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 17145594*-1.\nAnswer: -17145594","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = -300*p - 8697. Let w be n(-29). Which is the second biggest value? (a) 2\/17 (b) w (c) -90 (d) -4\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -14091498 and -1584748.\nAnswer: -15676246","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -8 - -14?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -6119.000008 - -6118. Let l = -435 + 434. Let m = p - l. Round m to six decimal places.\nAnswer: -0.000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) be the second derivative of -k**5\/20 + 47*k**4\/12 - 459*k. Solve j(x) = 0 for x.\nAnswer: 0, 47","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2 divided by 57\nAnswer: -2\/57","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i + 555 = 3*i. Let t(h) = -h**3 + 4*h**2 - 5. Let j be t(3). Suppose s + j = i. Round s to the nearest 10.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -78854*d**5 + 243525*d.\nAnswer: -1577080*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 7 and 203?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 38*b + 51 = -63. What is the third biggest value in -6\/5, 40, b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 + 3 + (-6 - (-14 - -27))?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 144477, 288965, 433453, 577941, 722429, 866917?\n\"Answer: 144488*s - 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 bigger than -23\/2071?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -23321 + 211?\nAnswer: -23110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = 2*w**3 + 32*w**2 + 27*w - 8. What is x(-14)?\nAnswer: 398","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c - 2*l = 98797, -4*l + 22601 + 10336 = c. Is c a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 22873 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b*(b\/b**(-6))\/b)**(10\/21)\/(b*(b\/(b*b*b*b*b*b\/b**(-3)*b*b))\/b)**17)**(-10) assuming b is positive.\nAnswer: b**(-5200\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = -45*m**3 - 4*m**2 - 3*m - 2. Does 19 divide u(-2)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -10955, -22409, -34351, -46781, -59699?\n\"Answer: -244*b**2 - 10722*b + 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many tonnes are there in 3.885605 micrograms?\nAnswer: 0.000000000003885605","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 45 a factor of 2970?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find h such that 116342258*h**2 + 31667304*h + 2154888 = 0.\nAnswer: -1038\/7627","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 22 = 10*s + 79 - 177 for s.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00000512168047 rounded to six decimal places?\nAnswer: -0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 6838 and 195?\nAnswer: 102570","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from pypdlywwx. Give prob of sequence wp.\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z\/z**(2\/13)*z)**(1\/64)*z**(9\/2)*(z*z\/(z*z**(-3\/11)*z*z))\/z)**(1\/9) assuming z is positive.\nAnswer: z**(3205\/10296)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 24981135317 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (4\/3)\/(-1 - (-8)\/12). Let k be (-390)\/572 - o\/22. Let p = -25.47 + 0.47. Which is the fourth smallest value? (a) 2 (b) -5 (c) p (d) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -219, -850, -1899, -3366, -5251, -7554, -10275?\nAnswer: -13414","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 575243017 is divided by 139.\nAnswer: 135","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = -z**2 - 6*z + 1 + 5*z + 4*z. Let u(t) = t - 2. Let q be u(6). Determine p(q).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b**0*b)\/((b**(2\/11)*b)\/b))\/(b**(2\/7)\/b**(13\/4)) assuming b is positive.\nAnswer: b**(1165\/308)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -0.4 (b) 0.5 (c) -2 (d) -0.2 (e) -1\/9 (f) 10\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -0.98, 2 in increasing order.\nAnswer: -0.98, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 1018295 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:26 AM and 6:26 PM?\nAnswer: 480","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17887786 = 260*w + 4697467 - 2548781. What are the prime factors of w?\nAnswer: 5, 12107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 20202120 (base 3) to base 15.\nAnswer: 16d9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((w*w**5)\/w*w)**(4\/17)*(w\/(w\/(w**(-3\/5)*w*w)))**(-29))**(-10) assuming w is positive.\nAnswer: w**(6662\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*a - 232*i + 230*i - 4 = 0, -5*a + 8 = -4*i for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many tonnes are there in 50.10751ng?\nAnswer: 0.00000000000005010751","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 6\/25 of a tonne?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 32 minutes before 10:00 AM?\nAnswer: 9:28 AM","meta":{"dup_signals":{},"source":"measurement__time_test"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 5 + -410166225?\nAnswer: -410166220","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3204444634.\nAnswer: 2, 181, 8852057","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5985.\nAnswer: 3, 5, 7, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*l + 4*i, 0 = -5*l - 4*i + 77 - 89 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 16847033?\nAnswer: 7, 343817","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:50 PM and 11:17 PM?\nAnswer: 387","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -7 + 7. Suppose -3*q + t*q + 57 = 0. Is q a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ofo when three letters picked without replacement from {f: 1, o: 3}?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 4 divided by 279\nAnswer: 4\/279","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 35593 is divided by 13?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 37.4 + -39. Let r = -8\/247 - 1011\/6916. Let d = r - -13\/28. Which is the closest to -1? (a) d (b) g (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 74 divide 1110?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (0 + -96)*(-1 - 0). Let k = 445 + -443. Let f be (-2 + (k - 33) + -3)*-4. What is the highest common divisor of f and u?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 604207 to the power of 1\/2, to the nearest integer?\nAnswer: 777","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2*4\/(-6)*(-9)\/(-3)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = 2*o**2 - 14*o - 198. Calculate q(12).\nAnswer: -78","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 5c791b - 3?\nAnswer: 5c7918","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express -2036*x + 3 - 627*x**2 - 2044*x + 4083*x as v + g*x + z*x**2 and give z.\nAnswer: -627","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18*i = -18 + 54 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m + 3*u - 336 = 0, -5*m + 506 = 3*u - 325. Let p = -161 + m. Suppose 13 = 4*y + 1. Solve -1 - y = -p*v for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -211529 + 67002 = -3*z + a, -4*z = 3*a - 192681. What is the ten thousands digit of z?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w + 3*x = 2*x + 11, 4*w + 2*x - 36 = 0. Suppose 4*n = -6*n + w*n. Solve n*z + z - 5 = 0 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 7*c - 685 - 190. Differentiate -c*b - 11*b**3 + 125*b - 33 wrt b.\nAnswer: -33*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 743*k**3 + 3*k**2 - 861*k + 18089403.\nAnswer: 2229*k**2 + 6*k - 861","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -42267, -6651.\nAnswer: -42267, -6651, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -3486 + 3467. Let h(x) = -x**2 - 16*x + 13. What is h(c)?\nAnswer: -44","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 divided by -1830869?\nAnswer: -6\/1830869","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-6)\/(-5))\/(16\/240*-3))\/(-6).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -124626*n + 124626*n - 73*n**3.\nAnswer: -73*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.4 times -2.263?\nAnswer: -0.9052","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 26 + 22?\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 7697599 a multiple of 258?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = 18*u - 69. Let w(v) = 20*v - 70. Let p(c) = -5*b(c) + 4*w(c). Let r be p(6). Solve 0*j = r*j + 5 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -34, -44, -58, -76, -98, -124?\n\"Answer: -2*z**2 - 4*z - 28","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 74 is divided by 27?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 2956322 < 2956322?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -5, 2\/37, -82?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.11, 292, 1 in ascending order.\nAnswer: 0.11, 1, 292","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 7244414?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*v + 10 - 4. What is the third derivative of -2 - 2*u**3 + 2 + v*u**2 + 4*u**3 wrt u?\nAnswer: 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 at least -44594?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 829432.2 nanometers?\nAnswer: 829.4322","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = -3*p - 2 + 0*p + 6*p + 0*p. Let m be w(5). Let l = -171 - -183. Are l and m nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = -2253. Let m(x) = 6195. Let o(r) = 11*f(r) + 4*m(r). Let d(a) = a. Let h = -3 + 8. What is h*d(l) - o(l)?\nAnswer: 5*l + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1496456, -2992911, -4489366, -5985821, -7482276, -8978731?\nAnswer: -10475186","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of -8 + 563064\/192 - (-6)\/16.\nAnswer: 3, 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = -2*i**2 + 69*i + 525. What is b(41)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 5371587805 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -2 - (2 + 18 + -5) - -53\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3*g - g + 0*g)*(-2*g - 3 + 3) + 0*g**2 + g**2 - 2*g**2 + 3460*g + 16177*g**2 - 16179*g**2 + 2399*g to p*g + c*g**2 + u and give c.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -82.915 + 83.415. Suppose 2*i - 4 = -0. Sort m, -0.2, i, -3\/8 in descending order.\nAnswer: i, m, -0.2, -3\/8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 470131 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 396 greater than 397?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -99 + (-37 - 70) + 186.\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 166571*f**2 + 497*f - 132.\nAnswer: 333142","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*t - 2*t + 0*t - 70 - 72 + 45.\nAnswer: -5*t - 97","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0.5 (b) 2 (c) -307 (d) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 22 and 286?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 7369 + -88363\/12. What is the common denominator of (-21)\/5 - 1\/4 and c?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 s and 2 b when three letters picked without replacement from cpbbpsp?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -2.69 + 41751316349\nAnswer: 41751316346.31","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Determine o so that 2*o**4\/5 + 110*o**3 + 27992*o**2\/5 + 24168*o\/5 - 164736\/5 = 0.\nAnswer: -208, -66, -3, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -452740 (b) -15 (c) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = -i**3 + 19*i**2 - 21*i + 54. Let l be y(18). Suppose l = -15*z + 9*z. Sort z, 4, -4, 1\/3 in descending order.\nAnswer: 4, 1\/3, z, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(sqrt(153) + -1 + (sqrt(17) - (sqrt(425) + 0) - sqrt(17)))**2.\nAnswer: 16*sqrt(17) + 276","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -99*24\/324*(2\/4 - 2).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -387300\/7 - -1857351\/35. Let n = k - -2252. Calculate the common denominator of n and 67\/6.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) be the first derivative of -l**2 - 32*l + 12. Differentiate w(f) wrt f.\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*o + 30*p + 54 = 28*p, 1285 - 399 = 4*o - 240*p - 6538 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = -2*h + 150. Let n(d) = -6*d + 299. Let b(g) = 5*a(g) - 2*n(g). What is the remainder when b(-23) is divided by 6?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1024*h + 911*h = -1356 for h.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3*l + l - 2*l)*(-1 + 0 + 4) + (-1 + 3 - 3)*(1 - 1 + 3*l) - 5*l + 2*l - 2*l to the form c*l + n and give c.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 620 a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*j + 197 - 983. Calculate the remainder when j is divided by 33.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = 7*c**2 + 61*c - 423. Let w(m) = 6*m**2 + 61*m - 420. Let p(b) = -6*w(b) + 5*z(b). Let s be p(6). Solve -2*a + 31 = 5*j, 0 = -6*a + a + s*j for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 45\/137491142 and 3\/229.\nAnswer: 137491142","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = -h**3 - h**2 + 5*h + 2. Let s be q(-3). Suppose -31 = 2*f - 5*f - s*p, 2*f + 21 = 5*p. Factor 0 - 4\/3*a + a**3 + 1\/3*a**4 + 0*a**f.\nAnswer: a*(a - 1)*(a + 2)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = -z**3 - 79*z**2 + 373*z + 265. List the prime factors of h(-84).\nAnswer: 11, 383","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {e: 6, j: 4, p: 1}. What is prob of sequence peje?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 - (-4 + -1) - (1 + -1)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rzszz. Give prob of sequence rz.\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -18b724 + -1?\nAnswer: -18b725","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 6\/4*4 + -1. Suppose v*s + 10 = 10*s. Suppose 3*u = s*u + 4*o + 68, o = 3. What is the units digit of u?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 19373 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-5)\/(-25) - (-128)\/10. Calculate the greatest common factor of v and 91.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -0.2 (b) 0 (c) 10407\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1596 - 1593. Solve x*r - o - 1 = 6, -8 = 4*r + 3*o for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = 2*t - 7. Let n be (-8)\/3*(-6)\/4. Let c be k(n). Let v be -13*2\/(-12) + -2. What is the nearest to -2\/7 in 2\/9, c, v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*k - 18 = 2*j, 14*j + 3 = -k + 12*j for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = c**3 + 9*c**2 + 11*c + 57. Calculate the remainder when 229 is divided by i(-7).\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x*x\/x**(6\/7)*x**2)\/(x\/(x*x**3))**18 assuming x is positive.\nAnswer: x**(400\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 83, 88, 93, 98?\nAnswer: 103","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -2b67c (base 15) in base 16?\nAnswer: -22242","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -24, -160, -386, -702?\nAnswer: -1108","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4830114686.\nAnswer: 2, 467, 5171429","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-1*(-12 + 3) - 4) + 1. Let t(x) = -b*x**2 - 63 + 32 + 32. Calculate t(1).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {f: 1, g: 1, r: 1, k: 1, y: 2, d: 2}. Give prob of picking 1 g, 1 f, and 1 d.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:52 PM and 4:36 AM?\nAnswer: 644","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(-9\/5)*u*u\/((u**(-25)*u)\/u)*u*u)\/((u*u**(38\/5))\/u**(-3\/4)) assuming u is positive.\nAnswer: u**(357\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 88445 to the nearest integer?\nAnswer: 297","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 4*0.052\nAnswer: 0.208","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 315 and 885?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -u + 5*x - 18, 27*u + 13*x - 34 = 18*x for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -2.3813 - 20.6647. Let m = 0.046 + x. Let j = -14.5 - m. Round j to the nearest integer.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 0 + 12571?\nAnswer: 12571","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -29 plus 73?\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Product of -227 and 8.\nAnswer: -1816","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = -a**2 - a. Let k be 1\/4*11\/((-66)\/(-48)). Let l(n) = -2*n - 4*n**k + 2*n - 3*n - 3*n. Calculate l(d) - 6*v(d).\nAnswer: 2*d**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2767084 by 46.\nAnswer: 60154","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/4 of a meter in centimeters?\nAnswer: 25","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 0.2 times 140\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-3*(-2)\/6)\/(-1). Let g(h) = -h**3 - 3*h**2 - 2*h. Let n be g(-3). Let p be m*1 + 15\/n. Which is smaller: 1 or p?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -141 - 4701007?\nAnswer: -4701150","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -8661, -8898, -9135, -9372, -9609, -9846?\n\"Answer: -237*v - 8424","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -4206, -8446, -12768, -17214, -21826, -26646?\nAnswer: -31716","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*(sqrt(125) + -2) - (sqrt(125) - (2 + sqrt(125) + 2)))**2*-6.\nAnswer: -6774 + 360*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let 36*j**4 - 376064*j**3 + 14696364*j**2 - 17484064*j + 3163728 = 0. Calculate j.\nAnswer: 2\/9, 1, 38, 10407","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/3? (a) 4 (b) -5 (c) -14\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 13036 to the power of 1\/3, to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -1\/14, 390 in increasing order.\nAnswer: -2, -1\/14, 390","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -17 - -17. Suppose 0*y - 2*y + 18 = t. What is the second derivative of 4*f - 37*f**3 - y*f + 35*f**3 wrt f?\nAnswer: -12*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i - 42 = 3*i. Solve -4*q = 3*a - i, q - 5*q = -2*a - 6 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 11010001001001 - 0?\nAnswer: 11010001001001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (78\/9)\/(56\/168)?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 20 (base 8) in base 11?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = -k - 8. Suppose 40*x = 45*x. Give f(x).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -879405, -879402, -879401, -879402, -879405?\n\"Answer: -m**2 + 6*m - 879410","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -1, 8, 2 in descending order.\nAnswer: 8, 2, -1, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) be the second derivative of -4*a**4\/27 + 53*a**3\/27 - 28*a**2\/3 + 1950*a. Find m such that v(m) = 0.\nAnswer: 21\/8, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 19935973 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h + 9974 = f, -4*f - 36*h = -35*h - 39887. List the prime factors of f.\nAnswer: 2, 3, 277","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = -3*g**2 + 3*g + 2. Let q be l(-1). Let p(t) = t + 11. Let k be p(8). Let f = k + q. What is the highest common factor of 5 and f?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {s: 1, c: 7, w: 2}. Give prob of sequence ccc.\nAnswer: 7\/24","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*l + 0*y - 47*y + 22 = -43*y, 3*y = -3*l + 30 for l.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -24820560 + -2?\nAnswer: -24820562","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 3\/(-6)*72\/(-2). Let d = j + -15. Let v(r) be the third derivative of -r**6\/30 - 39*r**2. Let u(f) = 2*f**3. What is d*u(h) + 2*v(h)?\nAnswer: -2*h**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 446105916?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -60468*d**2 - 53300*d**2 + 113766*d**2.\nAnswer: -2*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n + 7 = s, 5*s + 10 = 7*n - 2*n. Suppose -3*d = -7*d + 84. Suppose -w + d = -n. Calculate the remainder when w is divided by 13.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*s = 12*s - 20, 0 = -q - s - 5. Let g = 0 - 1. Let p = 4 + g. Is p >= q?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 89253797 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = -c + 18. What is the remainder when 1 is divided by x(17)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -519317217 divided by 116937?\nAnswer: -4441","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -667654, -667263, -666872, -666481?\nAnswer: -666090","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = -q**3 + 5*q - 4. Let x be z(-4). What are the prime factors of x\/(228\/(-39) - -6)?\nAnswer: 2, 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6 - 18*d + 28*d - 15*d + 6 - 12.\nAnswer: -5*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = -10*v**2 - 5*v + 3. Let i(t) = -21*t**2 - 11*t + 7. Determine -3*i(x) + 7*n(x).\nAnswer: -7*x**2 - 2*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 98.9 + -99. Which is bigger: o or -18.8?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 12 + 8 + 404\/32 - (-1 - (-10)\/16).\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 8, 607\/11, 2\/21?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 53.5 rounded to the nearest one hundred?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -32\/21 + 692\/399. Is 1.2 not equal to a?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-92)\/(-1)*(-62)\/(-31). Let b = 185 - v. What is the highest common factor of 2 and b?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 528257?\nAnswer: 19, 27803","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -690 or -694?\nAnswer: -690","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.03 - 0.077. What is the nearest to 0.1 in k, -2, -0.4?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = 3*z**3 + 1. Let j be w(1). Let v = -3 + 3. Let q be ((-1)\/2)\/(-2 - v). Which is the closest to q? (a) -4 (b) 4\/7 (c) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = 3*q. Let g be (-9)\/(-6)*(2 - -6). Suppose 0 = -4*t - r + g, t + 8 = -2*r - r. Let j(z) = -4 + t - 6*z + 5*z. Calculate j(h(d)).\nAnswer: -3*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort -10.3036, 0.14, -3, 3.\nAnswer: -10.3036, -3, 0.14, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(196)\/sqrt(2) + 4 + sqrt(4)\/(4*sqrt(2)*4) + 5)*-4.\nAnswer: -113*sqrt(2)\/4 - 36","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00675 rounded to 3 decimal places?\nAnswer: -0.007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b = 4*n, 4*n = 4*b - b. Suppose 2*r + 0*c - 8 = c, 5*r - 20 = -3*c. Solve n*d + 2*d + 15 = -5*f, 5*d = -r*f + 5 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (7 + -2)*(-4)\/10. Let t(p) = -87*p**2 - 2*p - 1 + p**3 - 1 + 88*p**2. Determine t(h).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 3\/(-2)*4\/6. Let g = 3 + y. Calculate the least common multiple of 3 and g\/5 - (-129)\/15.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 30 + (-8964)\/297 + 3\/(-165)\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1*3*((-12)\/(-20))\/((-39)\/(-13))?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 20 (base 3) in base 4?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0 + 2. Suppose t*o - o = 0. Suppose 0*h - h = o. Solve 0 = 3*x + 5*n + 26, 3*x + 2*n - 7*n - 14 = h for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 36 and 17076.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -924*w - 88 = -935*w. Let q(j) = 2*j**2 + 3*j + 26*j**2 + 9 + 13*j**2. Is q(w) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1976 a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h + 40 = 2*l - 5*l, 50 = 5*h - 3*l. Let n = 15 - h. Let s be 14\/(-2) + 2 + 0. What is the nearest to -1 in s, -3\/7, n?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-6)\/1*66\/(-9)?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 22*y**3 + 2*y + 5*y + 2*y - 7*y**3.\nAnswer: 15*y**3 + 9*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 0.1257042 months?\nAnswer: 0.0001047535","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 436 divided by 13069\nAnswer: 436\/13069","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -61 - -11?\nAnswer: -50","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b - 3*d + 19 = 0, 2*d + d = 15. Suppose 3*r - 2*j = -12, -b*r - j = -0*j + 8. Let k(v) = 4*v**2 + 6*v + 1. Does 9 divide k(r)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 24121661 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 133*u - 782 + 117. Calculate the remainder when 10 is divided by u.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*r**2 + 14570430*r + 10614871519245.\nAnswer: 5*(r + 1457043)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -26*z = -83*z for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f*(f*f**(-2\/7))\/f)\/f)**(-4\/13)\/(((f*f**(1\/2)\/f)\/f)\/f)**(1\/11) assuming f is positive.\nAnswer: f**(449\/2002)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round -98.10346712 to 2 decimal places.\nAnswer: -98.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 167, 662, 1489, 2654, 4163?\n\"Answer: i**3 + 160*i**2 + 8*i - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 11154 (base 8) to base 3\nAnswer: 20110200","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-290)\/(-20))\/(4\/(-8)). Let t = a + 479. What are the prime factors of t?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 144341053 + -15?\nAnswer: 144341034","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = 2*s - 2. Give y(-2).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = w**2. Let z(m) = -3*m - 2*m + 2*m + 4*m. Calculate z(o(j)).\nAnswer: j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = -h**3 + 2*h**2 - 2*h + 2. Let w be j(2). Suppose -3*a + 2*k + 104 = 0, -4*a - 25 + 159 = -5*k. Let u be w\/(-9) - 8\/a. Solve s + 6 - 3 = u for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7 - 1273 = 111*l - 392 for l.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -5, -4.666 in decreasing order.\nAnswer: -1, -4.666, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.163 - -0.337. What is the nearest to -2 in 0.4, 2, o, 2\/13?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 15801095?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-9)\/((-18)\/28)*7\/((-4361)\/2136).\nAnswer: -48","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -t + 2*u + 187, 95*t + 5*u = 100*t - 910. What are the prime factors of t?\nAnswer: 3, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 13 - 1. Suppose 5*a + 5*u + 0*u = 35, -u = 2*a - k. Is a\/15*282\/2 a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 1, y: 4, n: 2, b: 8}. Give prob of sequence bb.\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 16\/7, 0.2, -123?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -18 + 17.8. Let j be 3 + 24\/(-16)*3\/1. Which is the closest to -1? (a) j (b) -1\/4 (c) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -134*v + 9*v + 3*v**2 + 83 - 83.\nAnswer: 3*v**2 - 125*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -2\/7 (b) -1139\/3 (c) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 4736 - 4733. Factor -8\/5*r**c + 2\/5*r**2 + 0 - 4\/5*r**5 + 0*r + 2*r**4.\nAnswer: -2*r**2*(r - 1)**2*(2*r - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = -25*h**3 + 11*h**2 + 46*h - 11. Let z(p) = -5*p**3 + 2*p**2 + 9*p - 2. Let q(k) = -2*a(k) + 11*z(k). Let s(n) = n**3 - n. Give q(m) + 6*s(m).\nAnswer: m**3 + m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -310.36 + 314. Let w = h + -3.639998929. Round w to 7 decimal places.\nAnswer: 0.0000011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10*w**3 + 699*w**3 - 24*w**2 + 24*w**2.\nAnswer: 709*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-3)\/(-4) + (-452)\/(-16). Suppose 0*g = -2*g. Let z = r + g. Does 14 divide z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 4 (b) 0.4 (c) -3 (d) 57\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 25*d - 5*d - 16*d.\nAnswer: 4*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 27811369 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -11001102210 (base 3) to base 10\nAnswer: -79779","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 146720.364 hours in weeks?\nAnswer: 873.3355","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 663 - 663. What is the nearest to 3\/7 in 1\/10, v, 2\/3, 2\/13?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/4 of a kilometer in meters?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Do -184 and -212 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22*l - 18*l = -792. Is (-1859330)\/l + 8\/18 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.1 and 15.11?\nAnswer: -1.511","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 27257*q + 28473*q + 6*q**3 - 55730*q.\nAnswer: 6*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -2b7 + -3?\nAnswer: -2ba","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-1218)\/36)\/(-7) + (-1)\/(-6). Let j be 114\/(-24) + t - (-19)\/4. Solve -j*s + 3*d = -d + 35, -5*d = -25 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 19 a factor of 283812558?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + sqrt(2736) + 1 + sqrt(2736) + -4 + (6*(-1 + sqrt(2736)))**2)*-3.\nAnswer: -295590 + 2520*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 divided by 715857?\nAnswer: 2\/715857","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1533 and 1169.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1*2\/4*1?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) be the third derivative of -d**6\/120 - d**5\/60 + d**4\/24 + 7*d**3\/6 - 8*d**2. Let i be c(0). Suppose t + 258 = i*t. Is t a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = 2*b**2 - 2. Let f be (8\/6)\/(6\/(-99)). Let h = f + 38. What is the remainder when h is divided by x(-2)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2 - (3 - 0 - (-4 + 10))\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is seventeen halves of a microgram in nanograms?\nAnswer: 8500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: (8\/(-6))\/(4\/(-2))\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = 10*t**3 + 37*t**2 - 26*t - 52. What is g(-4)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 398769770?\nAnswer: 2, 5, 7, 5696711","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4 + 30*x**3 + 12 - 8.\nAnswer: 30*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -0.03 (b) 0.06 (c) 0.6 (d) -0.5 (e) 0.3 (f) 1835\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 994066 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 l = -1 - -5. Let n be -24*(-14)\/147 - 2. What is the closest to -2 in n, l, -1\/4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y - 4*y = 2*q - 2, -4*q + 12 = -4*y. Let x = -229 + 2059\/9. Let t = 3 + -2.6. Which is the nearest to x? (a) q (b) t (c) -1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -19\/3 + 6. Which is the nearest to y? (a) 1 (b) 5 (c) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.4132559 litres to millilitres.\nAnswer: 413.2559","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Do 0 and -2\/1631 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = 2*f**3 - 11*f**2 - 6. Let h(a) = -a + 8. Let y be h(6). Suppose -u - y*u = 15. Let m(l) = -l**3 + 7*l**2 + 4. Give u*d(r) - 8*m(r).\nAnswer: -2*r**3 - r**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 388? (a) -0.1 (b) -35 (c) -2\/3 (d) -9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = 1. Let d(u) = -u + 2. Let p be (-8 + 1)*610\/(-854). What is p*a(j) - 2*d(j)?\nAnswer: 2*j + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z = 4*m + 23, 5 = 4*z + z - 2*m. Let p be z*(-18)\/((-2)\/(-1)). Let o(v) = 4*v - 6. Is 26 a factor of o(p)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 27\/4 of a micrometer in nanometers?\nAnswer: 6750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 24977.7 months in years?\nAnswer: 2081.475","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (21 + (-17187)\/816)\/(((-3)\/(-21))\/(12\/(-14))). Let k be 0 + ((-24)\/22)\/(-2). Sort k, 3\/4, f in descending order.\nAnswer: 3\/4, k, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 81\/1157518 and -36\/16019.\nAnswer: 223400974","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -18492265\/6 or -3082045?\nAnswer: -3082045","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.2762 * 0.87.\nAnswer: -0.240294","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -7276651*p**6 - 2*p**2 - 13668*p + 2 wrt p?\nAnswer: -873198120*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*u + 85 = -234. Is u a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = p - 2. Suppose 4*t - 7 - 1 = 0. What is the smallest common multiple of t and q(4)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*q - 2*q - 20 = 0. Let l = 3002 - 5082. Is 2\/q - l\/25 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -28e (base 16) to base 13.\nAnswer: -3b4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = q**3 + 49*q**2 + 46*q + 47. Let d be b(-48). Let p = d - 128. Solve 0 = -13*f + p*f for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 446 - 446.359. Let t = v + 0.3589839. What is t rounded to 6 decimal places?\nAnswer: -0.000016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -6022292, -12044591, -18066890, -24089189, -30111488?\n\"Answer: -6022299*d + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r - 3*x + 33745 = 0, 163*x = -2*r + 160*x + 13489. List the prime factors of r.\nAnswer: 2, 211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = -k**2 - k + 11. Let c = 3 + -3. Let t be d(c). Calculate the highest common factor of t and 55.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.14 + 3.86. Let f = -160 - -40. Let q = 602\/5 + f. Which is the second smallest value? (a) p (b) 0.1 (c) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*i**2\/4 - 1530*i + 468180.\nAnswer: 5*(i - 612)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.5874325 rounded to 1 dp?\nAnswer: -0.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round -93970.52 to the nearest 10000.\nAnswer: -90000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = 5*v**2 - 7*v - 47. Let o be h(-6). Suppose -168*l - 448 = -o*l. List the prime factors of l.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = -21*o**3 + 5*o**2 + 7*o. Let z be c(9). Let g = 30459 - z. Round g to the nearest 10000.\nAnswer: 50000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 116.4 + -116.43. Sort -2, 0.3, -0.5, z in increasing order.\nAnswer: -2, -0.5, z, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*u**3 - 5*u**3 + 3*u**3)*(-7*u - 5*u - 10*u) + (2*u**3 - u**3 + 0*u**3)*(4*u - 3*u - 3*u).\nAnswer: 42*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -5945527, -11891058, -17836589, -23782120?\n\"Answer: -5945531*a + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -q - 136 + 138, -t + 4*q = 12 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (10\/(-45))\/((4784\/9729)\/(-104)).\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v = -41*i + 44*i - 106, 126 = 3*i - 3*v. Solve i = 11*n - 17 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) be the second derivative of 7*p**6\/6 - 9*p**4\/4 - 15*p. What is the third derivative of k(c) wrt c?\nAnswer: 840*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = 5*p**3 + 2*p + 1. Let b(s) = -s**3 - 1. Suppose -28*g + 2 = -27*g. Suppose 0 = -f + 3*a - 2 - g, 3*f + 6 = 3*a. Calculate f*y(o) - 2*b(o).\nAnswer: -3*o**3 - 2*o + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*o**5\/3 + 310*o**4\/3 + 12808*o**3\/3 + 146648*o**2\/3 + 147552*o + 132096 = 0 for o.\nAnswer: -96, -43, -12, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round 620336835 to the nearest 10000.\nAnswer: 620340000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*-2*sqrt(405))**2 + sqrt(405) + 6*(1*sqrt(405) - sqrt(405)) + -1.\nAnswer: 9*sqrt(5) + 1619","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 96 is divided by 8.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 139 - 56. Suppose -199*g = -2001 - 2974. Suppose j = -4*i - g. Is i at least as big as -27?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:51 PM and 7:11 AM?\nAnswer: 560","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) be the first derivative of 1\/2*p**2 + 33 + 2*p. Calculate k(-5).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2318 to the power of 1\/8, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/16 of a millennium in months?\nAnswer: 750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 798878492 to the power of 1\/2, to the nearest integer?\nAnswer: 28264","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*sqrt(85)\/(-5*sqrt(10)\/sqrt(2)).\nAnswer: 3*sqrt(17)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify a\/(a*a\/(((a**(2\/37)*a*a)\/a*a)\/a*a*a))*a\/a**22 assuming a is positive.\nAnswer: a**(-701\/37)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-3110)\/(-16))\/((-1)\/(-236)). Let c = 95873479\/2090 - j. Let y = -7\/55 - c. What is the smallest value in 2\/5, y, 3\/8?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -2629523177 and -7.\nAnswer: -2629523184","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = -f**3 - 20*f**2 - 14*f - 42. Let s be i(-19). Let j = 146 + s. Sort -3, j, 5, 4 in increasing order.\nAnswer: -3, 4, 5, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 123565 to the power of 1\/3, to the nearest integer?\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = -38 + 85 + p + 3*p**2 - 2*p + 5*p - 2*p**3 - 49. Let f(m) = 5*m**3 - 8*m**2 - 11*m + 5. Let i(q) = -q - 1. Let x be i(3). Give x*f(t) - 11*n(t).\nAnswer: 2*t**3 - t**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -94 - -133. Let k = -47 - -86. Let d(w) = z - k - w + w**2. What is d(1)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1)\/2*3*12\/(-9)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 2989 - 3005. What is the third biggest value in -0.5, -1, n, -0.04?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 459450 and 6340410?\nAnswer: 31702050","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 1.331583 * -3\nAnswer: -3.994749","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6613533?\nAnswer: 3, 734837","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 37321614 to the power of 1\/2, to the nearest integer?\nAnswer: 6109","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -5.7? (a) -9 (b) 2\/9 (c) 1 (d) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-10)\/20 - 31\/2. Let n = 17 + a. Let y(r) = -12 + 5 - 4*r + 3 + n. Let x(f) = 12*f + 10. Calculate 2*x(i) + 7*y(i).\nAnswer: -4*i - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = 2*x**2. Let f(d) = d**2 - 3*d - 10. Let v be f(5). Let p(u) = -373*u + 368*u - 2 + v. What is p(n(z))?\nAnswer: -10*z**2 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-46)\/(-6)*(34 + -37)*-1. Do 0 and p have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = -h**2 - h. Let g be d(0). Suppose g*b - 12 = -b. Calculate the smallest common multiple of b and 4.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 405 minutes before 2:14 PM?\nAnswer: 7:29 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -2313507 (base 12) to base 9\nAnswer: -13620487","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) be the third derivative of 5*z**4\/24 + z**3 + 9*z**2. Let l(m) = 6*m + 7. Give -6*l(n) + 7*q(n).\nAnswer: -n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-6)\/(-12))\/((-3)\/6)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 16 - 16 + 2*a.\nAnswer: 2*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -10287, -27885, -45483, -63081?\n\"Answer: -17598*x + 7311","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bsss when four letters picked without replacement from ssesbssefeebeesssses.\nAnswer: 4\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Work out 529664.9 + 3.3322.\nAnswer: 529668.2322","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h + 5*a = -10, 3*h = -a + 1 + 1. Calculate the lowest common multiple of h and 8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = -y**2 + y. Let b(w) = -8*w**2 + 4*w + 21. Let r(h) = b(h) - 5*n(h). Let f be r(5). Let p = f + 65. Solve p*v - 2*v = 0 for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -19 - -12. Let u be (2 - 1) + (-6)\/k. Let z = -2119 - -2122. Which is bigger: u or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 338?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 34933?\nAnswer: 181, 193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -21990, -45693, -69396, -93099, -116802?\nAnswer: -140505","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -5 (b) -20\/21 (c) 0.5 (d) 2\/15 (e) 2\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify k**17*k*k**19 assuming k is positive.\nAnswer: k**37","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 6242.636 - 7030.57. Let r = -788 - n. What is r rounded to 2 decimal places?\nAnswer: -0.07","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 44171804?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert 63205 (base 7) to base 8.\nAnswer: 36262","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of ((-5)\/(-1))\/(-4 - -5) and 4.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*j + 2*j - 15191 + 15191.\nAnswer: -j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*s**3 + 2*s**3 + 3*s**3 + (-2*s + 0*s - 3*s)*(-s + 49 - 49 + 4*s**2) - 2*s**3 + 4*s**3 - 3*s**3.\nAnswer: -20*s**3 + 5*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-51)\/51)\/((-1)\/(-5)*-1)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 968 divide 150569496?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -61 - -66. Solve 3*a + 30 = -w*n + 7, -3*n = -a + 11 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = -s**4 + 0*s**4 - s - 1 - 5*s. Let j be 18\/30 - (-54)\/10. Let x(r) = -r. Let f(p) = j*x(p) - w(p). Find the first derivative of f(q) wrt q.\nAnswer: 4*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(-2\/5)*u**(-6))**(-26) assuming u is positive.\nAnswer: u**(832\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -w**2 + 2*w**3 + 0*w**3 + 0*w**3 + 2*w**3 wrt w?\nAnswer: 24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1019.4 months to years.\nAnswer: 84.95","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 4 - -1. Suppose 0*d = -d - m, -2*d = -2*t + 18. Suppose z - 4 = t*v, -5*v = -2*z - 0 + 8. Solve v*q = 4*q for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 56 + -51. Let h be 2\/3*(2 + 1). Put -1, o, h in increasing order.\nAnswer: -1, h, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 9, j: 3}. What is prob of picking 2 j?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 k when three letters picked without replacement from kkmlllldlekldlblm?\nAnswer: 1\/680","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort -50, 60732, 5.\nAnswer: -50, 5, 60732","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor -f**2 - 1072*f - 287296.\nAnswer: -(f + 536)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0 - 4. Suppose 3*j - 2*d + 2 = 0, -3*d = -2*j + d + 4. Which is the nearest to -2\/5? (a) j (b) y (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 22 minus -279.5679092?\nAnswer: 301.5679092","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 e, 1 h, and 2 f when four letters picked without replacement from llzelplelfelflehffzz?\nAnswer: 8\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v = 17 - 26. Suppose -4*p + 12 = 0, -2*o - 4*p + 41 = 15. Solve -w + v - o = 0 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 20.9292712 - 4642.\nAnswer: -4621.0707288","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -21 (base 6) in base 16?\nAnswer: -d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -143 and -11868?\nAnswer: 11725","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -1010011110 (base 2) to base 14\nAnswer: -35c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 106 and 716666.\nAnswer: 106","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 z, 1 m, and 1 l when three letters picked without replacement from hhlholmzoh.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = 207 + 195 + 5*h + 225 - 577. Calculate w(-11).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*a**2 - 4*a**2 + 0*a**2)*(-3*a + 3*a + 16*a) - 5 + a**3 + 5 + (a**2 - a**2 + 2*a**2)*(-4*a + 3*a - a) - a**3 + 4*a**3 - 2*a**3.\nAnswer: -34*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 40*a - 17*a = -69 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 16932?\nAnswer: 2, 3, 17, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -8 - -4. Let s = -835.84 + 839.8403. Let g = s + j. Round g to four decimal places.\nAnswer: 0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 - 6 = 2*b. Let z be 2 - (b - (2 - -1)). Find the third derivative of -x**2 - 5*x**z - 2*x + 2*x + x**3 wrt x.\nAnswer: -24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -f + 0*f + 629 - 622 + (5 - 4 + 0)*(-2*f + 0*f + 0*f).\nAnswer: -3*f + 7","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -11427*l + 10687*l + 28860 for l.\nAnswer: 39","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 12, -3, 1049, 4, -2, 1, -145 in ascending order.\nAnswer: -145, -3, -2, 1, 4, 12, 1049","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7 is divided by (-6)\/(-27) + (-4 - 122\/(-18))?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t + t - 2*s = 10, 2 = -2*t - 2*s. Suppose -2*r = -2*x - 4, -2*r = t*x + x - 9. What is the remainder when 5 is divided by r?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 16258 is divided by 8116.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:16 PM and 10:56 PM?\nAnswer: 160","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put together 12569 and 0.\nAnswer: 12569","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is -3 greater than or equal to -18\/7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (5*y - 5*y - 7*y)*((-2 + 3 - 3)*(-2 + 3 - 2) + 2 + 1 + 2) to d*y + r and give r.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = a**3 - 10*a**2 - 8*a - 25. Suppose -9*b = -2*b + 29*b - 396. What is r(b)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3 + 3 + r)*(28 - 15 - 2*r**2 + 21*r**3 - 14) + (r**3 + 3*r**3 - 6*r**3)*(-15 - 7*r + 15) to q*r**4 + t*r + n*r**3 + u + m*r**2 and give t.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) be the first derivative of s**4\/12 - 5*s - 2. Let o(w) be the first derivative of g(w). Let u(q) = 5*q**2. Determine o(u(p)).\nAnswer: 25*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 o and 2 z when three letters picked without replacement from {y: 6, u: 1, o: 2, i: 5, z: 3, h: 3}?\nAnswer: 1\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round 1624036.5 to the nearest one thousand.\nAnswer: 1624000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -1742 (base 13) to base 7\nAnswer: -13004","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = 7*b**2. Let l(c) = 21*c**2. Let p(q) = 11*a(q) - 4*l(q). Let t(m) = -5*m. Give p(t(f)).\nAnswer: -175*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 351 and 4121?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -5, 2, -4, 280 in increasing order.\nAnswer: -5, -4, 0, 2, 280","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = 3*j + 18. What is c(-10)?\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 105 and 21.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 17? (a) -1 (b) -6\/8801 (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 18? (a) 3 (b) 4\/5 (c) -450 (d) -2\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*h - 2*h + 3*h)*(-47 + 33 - 13) - h + 2*h + 0*h - 3*h - h + h.\nAnswer: 25*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*o**3 - 1744836*o**2 - 17448060*o - 43619900.\nAnswer: -4*(o + 5)**2*(o + 436199)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1064 - -1060. What is the second biggest value in z, 0.1, 117?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*f**5 - 30*f**4 - 15*f**3 + 100*f**2 - 60*f.\nAnswer: 5*f*(f - 6)*(f - 1)**2*(f + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -2 - -10. Let g(c) = 3*c + 9. Let p be g(q). Find the second derivative of 0*l**2 - p*l + 11*l - 30*l**5 + 0*l**2 wrt l.\nAnswer: -600*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-10)\/(-40))\/(5\/60). Put -3, 5, 0, u in ascending order.\nAnswer: -3, 0, u, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -2.8 and 14096440?\nAnswer: 14096442.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 302, 300, 298, 296, 294, 292?\nAnswer: 290","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -180, -350, -518, -684, -848?\n\"Answer: b**2 - 173*b - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide 5 by 63.\nAnswer: 5\/63","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is (-38 + 48 - 0) + (1 - -4)?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 38462?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.1011572 + 75.0664572. Let j = x + 8.9177. Let m = j - 84. Round m to 2 dps.\nAnswer: -0.12","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*d - 3 = -5*f, 11*f - 9*f - 5*d + 7 = 0 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j = -j + 60. What is the greatest common divisor of 24 and j?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.9 - -5.9. Let y = 3541 - 3537. What is the fourth smallest value in y, -4, z, 6\/7?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = -c**3 + 6*c**2 - 3*c + 2. Let z be h(5). Suppose -p + 27*k - 15 = 24*k, -p = 5*k - 9. What is the tens digit of 508*p\/z*(-2)\/4?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1205077 is divided by 36.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.31024 - -1.31024. Let v = 0.21 - 2.21. Suppose 2*q + 2*q - 164 = 0. What is the second smallest value in n, -1, v, q?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 76 and 15484?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-4)\/10)\/((-2)\/(-37)) - -9.\nAnswer: 8\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 20232 (base 4) to base 11\nAnswer: 468","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 90 divide 77259510?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 20400 and 1365.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 56 minutes after 9:17 AM?\nAnswer: 10:13 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*v + 2*l - 10, l - 2 = 1. Which is greater: v or -1\/5?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = 11*m**2 + 114*m + 45. Let l be d(-10). Solve 0 = -2*c + w - 2, 0 = 2*c + l*w - 6 + 8 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 0, 285, -7, -3\/7, 6\/11, -5 in descending order.\nAnswer: 285, 2, 6\/11, 0, -3\/7, -5, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*z - 18 = 0, -c - 3*z = -4 + 31 for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*p**5\/13 - 34*p**4\/13 - 188*p**3\/13 - 336*p**2\/13 = 0.\nAnswer: -7, -6, -4, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = -12*j - 4. Let d be t(-3). Suppose -d = -3*n - 8. Let k be n\/20 + 14699994\/15. Round k to the nearest 100000.\nAnswer: 1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -1 + 1 + 5\/105*4965. Let u be ((-6)\/(-8))\/(1\/316). Let i = u - l. Sort 2\/5, 1, i.\nAnswer: 2\/5, i, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 16779353?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1939a38 (base 12) to base 4.\nAnswer: 110033012030","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 - -1 - (-4 - -5).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m - 4 = 2*g, g = 6*g - 3*m + 11. Let z(j) = 8. Let o(b) = b - 1. Let x(f) = 2*o(f) + z(f). Let y be x(-3). Which is smaller: g or y?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -113*b - 24*b - 959 = 0 for b.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -121 + 2*d + 107 + 33.\nAnswer: 2*d + 19","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:39 PM and 6:30 PM?\nAnswer: 231","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2091743*w**2 + w - 2*w + 2091758*w**2.\nAnswer: 15*w**2 - w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in 352, 2\/29, -4, 2\/7?\nAnswer: 2\/29","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 485\/37531 less than 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*x + 104*x**2 + 1 + 2*x**4 - 2*x**3 + 4*x - 102*x**2 to the form g*x + r*x**3 + v + d*x**2 + p*x**4 and give p.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = 52*z - 53. Let y be f(1). Which is greater: 1\/589 or y?\nAnswer: 1\/589","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-102)\/(-12))\/((85\/(-30))\/17).\nAnswer: -51","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -34301494*i - 69818203.\nAnswer: -34301494","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 5\/4 of a day?\nAnswer: 30","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 5675800?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: (369\/(-820))\/((-9)\/(-15))\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 841739 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 22306746.\nAnswer: 2, 3, 7, 11, 53, 911","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = -m. Let x(p) = -11*p + 2. Give -6*i(o) - x(o).\nAnswer: 17*o - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = 6*r**2 + 7*r + 8. Let c(w) = 2 - 6*w + 0 - 5*w**2 - 9. Let o be (-1)\/(-1) + 1 + 2 + 2. Let h(q) = o*z(q) + 7*c(q). Suppose h(t) = 0. Calculate t.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(720) + 1)*-5)**2 + -2 + -2 + sqrt(720) + -4)*-4.\nAnswer: -72068 - 2448*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is (41\/(-43) - 1\/(-1))\/(17270\/(-55) + 313)?\nAnswer: -2\/43","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from fzqfszfzfzl. Give prob of sequence fql.\nAnswer: 2\/495","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 74723025?\nAnswer: 3, 5, 13, 173, 443","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -12000200011 + -11?\nAnswer: -12000200022","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b*b**(2\/9)*b)\/b**(2\/9)*((b*b\/b**(-1))\/b)**(-11))**(-2\/5) assuming b is positive.\nAnswer: b**8","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 8\/44 + 819\/33. Let m = c + -16. What is the remainder when 33 is divided by m?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = -1341*t**2 - 3*t + 8. Let l(o) = 2012*o**2 + 5*o - 13. Calculate 5*l(u) + 8*z(u).\nAnswer: -668*u**2 + u - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 16099909 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -5.29914 - -5.3. Round h to 4 dps.\nAnswer: 0.0009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = p**2 - 9*p - 21. What is the units digit of o(13)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -l**2 + 2 + 71*l + 22*l - 65*l - 2.\nAnswer: -l**2 + 28*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 95690?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Divide 8422700 by -620.\nAnswer: -13585","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -65, -25, 175, -2, 2 in decreasing order.\nAnswer: 175, 2, -1, -2, -25, -65","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5.651426 litres to millilitres.\nAnswer: 5651.426","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -36 - -40. Factor -132*g - 10 + 112*g - 6 - s*g**2.\nAnswer: -4*(g + 1)*(g + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {s: 4, u: 5, y: 3, m: 1, o: 1, a: 1}. What is prob of picking 1 u, 1 y, and 1 m?\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*a = -3 - 0, a = 3*h + 4 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -v + 6*v - 11*v.\nAnswer: -6*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 0.5, -2\/15, -5, 0.22?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(520)\/sqrt(90) + (sqrt(1872) - sqrt(52))*3 + -5.\nAnswer: -5 + 92*sqrt(13)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00000342584762 rounded to 7 decimal places?\nAnswer: 0.0000034","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*y + 16*o - 11*o + 12, o + 3 = 0. Which is smaller: y or 23\/73?\nAnswer: 23\/73","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -10691 divided by -89048.\nAnswer: 10691\/89048","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -10656, -21340, -32036, -42750, -53488, -64256?\n\"Answer: -t**3 - 10677*t + 22","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -3 (b) -1\/2 (c) -1\/7 (d) 4 (e) 722\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = y**3 - 12*y**2 + 11*y - 4. What is u(11)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-36)\/30)\/(-1)*(-75)\/(-60)?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*r + 710 = 335. Which is the second smallest value? (a) r (b) -1\/5 (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {x: 1, i: 18}. Give prob of sequence xxi.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = -y - 12. Let l be v(-6). Let n(r) = -19*r - 7. What are the prime factors of n(l)?\nAnswer: 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q = 3*q - 20. Let y(p) = -2*p + 2*p - q*p**2 - p**2. Let u(f) be the first derivative of -f**2\/2 - 5. Calculate y(u(n)).\nAnswer: -6*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1281\/5 - 7691\/30. Let f = 0.7 + -1.1. Which is the second smallest value? (a) f (b) y (c) -0.2 (d) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -316, 6, 5 in increasing order.\nAnswer: -316, 1, 5, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 21244 (base 5) to base 7\nAnswer: 4140","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 77 and 55.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 103\/6 and 49\/19254.\nAnswer: 19254","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 25903 is divided by 3922.\nAnswer: 2371","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 10, a: 2}. Give prob of picking 2 u.\nAnswer: 15\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let 4515625*g**3 + 4511375*g**2 - 4249*g + 1 = 0. Calculate g.\nAnswer: -1, 1\/2125","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -3\/8, 1344, 530, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 21718734 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 31*g - 8*g = 33 + 59 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = 11*i**2 + 9*i + 2. Let w(m) = 6*m**2 + 3*m + 1. Let o(u) = -u. Let b(f) = 2*o(f) - w(f). What is 5*b(s) + 3*g(s)?\nAnswer: 3*s**2 + 2*s + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 > 0.039397?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*n**2 + 133914*n - 4690665.\nAnswer: 3*(n - 35)*(n + 44673)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 0.0477*-0.3\nAnswer: -0.01431","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d = 6, -s - 3*d + 4 = 13. Suppose 3*n = 5*n - v - 4, s = 2*n - 2*v. Does 4 divide n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -64870 or -64843?\nAnswer: -64870","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (231164\/(-12))\/((-16)\/(-3)). Let f = -3610 - w. What is the common denominator of -111\/14 and f?\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 5885584*u**3 - 2*u**2 + 4*u + 11255?\nAnswer: 35313504","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i = 3*b - 12, -b + 4 = i + b. Suppose -8*t = -i*t. Suppose 3*a - 15 = -5*j, 4 = 4*j - 5*a + 29. Solve j*o + o = t for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.3 - -0.8. Let i = -8700 - -8700. Which is the nearest to i? (a) 2\/11 (b) -2\/35 (c) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) be the first derivative of -93*k**2 - 15*k - 38. Let t be f(-2). Calculate the common denominator of -79\/18 and 6\/8*t\/99 + -1.\nAnswer: 396","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 28, -0.3101, -0.14?\nAnswer: -0.14","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 989 and 207.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3806213 is divided by 646.\nAnswer: 627","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 37450723 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 56 - 8. Let p = -26 + f. Solve n + 1 = 2*c - 2*n, 5*c = n + p for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1 - -304. Suppose 59*b + 488 = 63*b. What is the highest common factor of b and a?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1*sqrt(1215)*-4 - sqrt(1215))*4)\/(-5*3*sqrt(20)*3).\nAnswer: -6*sqrt(3)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-16)\/(-72) + (-500)\/(-18). Let d = i - 19. Suppose 0 = -4*g + d*g - 40. Solve 5 = 5*h - 3*r, -g*h + 5*r = -3*h + 5 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -24479\/6 + 4092. Let v = 3807\/7 + -11446\/21. Find the common denominator of j and v.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 296 minutes after 11:02 AM?\nAnswer: 3:58 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (2 - (-22)\/(-5)) + 3. Let m = 39377 + -196884\/5. Factor -4\/5*k + 0*k**2 + 0 + m*k**4 + j*k**3.\nAnswer: k*(k - 1)*(k + 2)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 4206 and 649?\nAnswer: 2729694","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = -27*q - 6. Let s be n(-1). Suppose 3*h + s = 321. What is the hundreds digit of h?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 876\/(-8)*(0 + -2). Suppose 2*z - 2*w + 3*w - 426 = 0, b = z - w. What are the prime factors of z?\nAnswer: 5, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) be the third derivative of y**6\/120 + 19*y**5\/60 - 15*y**4\/8 - 11*y**3\/3 - 14*y**2. List the prime factors of b(-21).\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 29*h = -49*h + 6162. Calculate the remainder when h is divided by 14.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = 6*n**2 + 37*n + 4. Determine b(-6).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -6868\/17195 - 2\/3439. Let j be (2\/(-6))\/(0 - -1). Let o = 0.222 - 0.222. What is the smallest value in j, 0.5, p, o?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = 487*i**2. Let o(f) = 84303*f**2. What is o(r(x))?\nAnswer: 19994058207*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 108361689 a multiple of 43?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3410415 is divided by 522.\nAnswer: 189","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 292.8036 + -293. Round o to three dps.\nAnswer: -0.196","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -h + 35*h**3 - 41*h**3 - 2*h**3 - 3251*h**5 + 8*h**3 - 400 wrt h.\nAnswer: -65020*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 48216485?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 79 - 239\/3. Let v = 269 - 268.7. Which is the second smallest value? (a) x (b) 4 (c) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -15070, -14377, -13684?\nAnswer: -12991","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.2 in -1\/2, 0.037, 4, -4?\nAnswer: 0.037","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -2 + -1202202122220?\nAnswer: -1202202122222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -247 - -359. Let n = j + -72. List the prime factors of n.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3763 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -2.09 + 2.0900006227. What is j rounded to seven dps?\nAnswer: 0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = j**3 - 3*j**2 - 4*j - 2. Let d be u(5). Suppose 6*h + 10 = d. Solve -h*b + 10 = v + 4*v, 0 = 3*b + 4*v - 5 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 694, 678, 662, 646, 630, 614?\n\"Answer: -16*s + 710","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -10 + 74. Let w = h + -64. Solve w = -3*a - 11 - 4 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -525 + 508. Which is the closest to -1? (a) w (b) 5 (c) -2\/7 (d) 3\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*6*sqrt(324)\/sqrt(12))**2.\nAnswer: 8748","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 111812303 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 873 and 73329.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = -45*s - 3. Let b(z) = 15*z + 1. Let h = -2 + 10. Let f(w) = h*b(w) + 3*n(w). What is the remainder when 41 is divided by f(-1)?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 154541 is divided by 98.\nAnswer: 93","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -13\/44 - -1\/22. Let v = -6 + 6.4. Which is the third biggest value? (a) z (b) v (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {k: 2, r: 4}. Give prob of picking 2 k and 2 r.\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = 5*h**2 - 34*h - 2. Determine y(6).\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 2398904\/(-29588) - (-12)\/(-13)\nAnswer: -82","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -29*c - 6 = -26*c - z, 2 = -c - 4*z for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u**3 - 133284*u**2 + 266584*u = 0. Calculate u.\nAnswer: -33323, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = y - 9. Let w be d(9). Suppose w = 3*b - 4*z + 2160 - 715, -z + 965 = -2*b. Is (b\/35)\/(2\/(-10)) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = t. Let x(n) = 103*n**2 - 2*n - 5. Let o(w) = 103*w**2 - 2*w - 4. Let y(l) = 5*o(l) - 4*x(l). Give y(s(b)).\nAnswer: 103*b**2 - 2*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -1978, -1969, -1960, -1951, -1942?\n\"Answer: 9*q - 1987","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24 + 84 = -3*k. Let i be ((-1)\/3)\/(4\/k). Suppose -i*u = -8 + 2. Solve 0 = u*q + 4*c + 6, 3*c + 2 = -q - 0 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/6 of a year in months?\nAnswer: 10","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = 13*o**2 - 7. Let z(p) = 7*p**2 - 4. Let j = -65 - -72. Let n(g) = j*z(g) - 4*d(g). Let h(f) = 4*f. Calculate h(n(i)).\nAnswer: -12*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = -3*t - 10. Let d be h(-4). Let n(k) = -2*k**3 - k**2 - 4*k + 4. Let b be n(d). Let a be b\/12 + (-18)\/(-8). Put -3\/5, a, 14 in ascending order.\nAnswer: -3\/5, a, 14","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = 2*t**2. Let c be (0 - (-126)\/(-4))\/((-1)\/2). Let u(k) = -c*k + 40*k - 13*k. Determine g(u(a)).\nAnswer: 2592*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 19285 a multiple of 133?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) be the first derivative of o**4\/4 + o**3 - o**2\/2 - 2*o + 1. Let a be f(2). Suppose 11 + a = 3*x. What is the units digit of x?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 209717 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -26 (base 10) to base 4\nAnswer: -122","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 46501 or 46502?\nAnswer: 46501","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -c9a + 1e?\nAnswer: -c7b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5321 is divided by 663?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -593 = 5*t + 4*v + 89, t + 3*v + 132 = 0. Let p = -116 - t. What is the remainder when 83 is divided by p?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -92744*k**3*r**3 - 2*k**3*r**2 - k**3*r - 12*k**2*r**3 + 11*k*r**3 + 69*r**2 wrt k.\nAnswer: -556464*r**3 - 12*r**2 - 6*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 13 + -40102?\nAnswer: -40045","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 554646347 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 12968530?\nAnswer: 2, 5, 263, 4931","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = 2*s**3 + 43*s**2 + 129*s + 668. Give g(-19).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express 3706*o - 3479*o + 9 - 7 + 1 in the form j*o + w and give j.\nAnswer: 227","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 538 to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = -t + 1. Let o(b) = -21*b + 4. Suppose -k + a = -4, 0 = -46*k + 49*k + a. What is k*o(c) - 4*l(c)?\nAnswer: -17*c","meta":{"dup_signals":{},"source":"polynomials__add_test"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 divided by -94078.\nAnswer: 3\/94078","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 48756078 divided by 147\nAnswer: 331674","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 23 - 18. Let j(t) be the second derivative of -t**4\/6 + 4*t**3\/3 - 3*t**2\/2 - 621*t. Give j(s).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 15 + -12 - ((6 - 5) + -5 + 5)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 11592 is divided by 1445.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*k**3 - k**3 + 3*k**3 + (4*k - 2*k - 4*k)*(0*k**2 - k**2 + 0*k**2) + 2*k**3 + k**3 - k**3 + 2*k**3 - 2*k**3 - k**3 - 4*k**3 - 10*k**3 - 6*k**3.\nAnswer: -18*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**13*s*s*s**(7\/4)\/s)**(-1\/2) assuming s is positive.\nAnswer: s**(-63\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-18)\/(-16))\/((-15)\/20). Suppose k = -4*q - 0*k + 71, -2*k + 88 = 5*q. Let d = q - 14. What is the second smallest value in r, d, 5?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1676082212758571\/32360 - -414359286519\/8. Let v = 34030 - o. Let g = v - 295297\/24270. What is the common denominator of g and -49\/10?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2659183087 to the power of 1\/3, to the nearest integer?\nAnswer: 1385","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -122*c + 779 - 191 = 74*c. What is the greatest common divisor of 4104 and c?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -474*z**3 + 217*z**3 + 222*z**3 - 4*z**3 - 4*z**3 + 7*z**3 + (-5*z + z + 2*z)*(z**2 + 3*z - 3*z) + z**3 - z + z - 3*z**3 + 0 + 0 - 5*z - z**3 + 5*z.\nAnswer: -41*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) be the first derivative of -t**6\/24 - 9*t**5\/20 + 7*t**4\/4 + 140*t**3\/3 + 264*t**2 + 640*t + 1713. Let m(d) = 0. Calculate d.\nAnswer: -5, -4, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*n - 6 = 0, 381*d - 3*n - 8 = 379*d - 12 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 d, 1 b, and 1 z when three letters picked without replacement from odoodbbbbzobbb.\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3 - 1) + (1 - 1) - -1.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r + 12160 = -0*r + 14*r. Calculate the highest common factor of r and 136.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 38976 - 14978. What are the prime factors of z?\nAnswer: 2, 13, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -383 + 438. Let t = -42 + h. Calculate the greatest common factor of t and 325.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from nrnqnxdznnnrqzqzxq. Give prob of sequence nndq.\nAnswer: 1\/612","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*g - 4*g + 5 = 0 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-63)\/15*7\/(-49))\/((2\/130)\/(-1)).\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = -25148*a - 427554. Determine j(-17).\nAnswer: -38","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express (3*l + 0*l - l)*(-l - 3*l + 5*l) - 2 + 3 + 324559*l**2 - 322470*l**2 as b*l + o*l**2 + g and give b.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-18)\/(-10)*(-6 + 1 - -6).\nAnswer: 9\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*b + 120 - 94 = -2*w, -20 = 3*w - 5*b for w.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*b = -2*b - 27. Suppose b*s + 45 = -222. Let x = s - -92. Solve n - 6 = 2*h, 2*n - 13 = -x*h - 36 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = 3*l - 9. Let t be v(8). Suppose 10*d + 45 = t*d. What is the lowest common multiple of (-592)\/(-72) - 2\/d and 10?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -7, -1, -3, -10 in ascending order.\nAnswer: -10, -7, -3, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.007956253696 rounded to 3 dps?\nAnswer: 0.008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put together -12278 and 2.\nAnswer: -12276","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 104245 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1478356 + 1478356 - v.\nAnswer: -v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round -1318 to the nearest 100.\nAnswer: -1300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a - 44 = -2*s, -4*a + 11 = -5*s - 59. Suppose -4*o = 4*g - 20, 5*o - 4*g = -0*o - a. Solve o = 5*h + 7 - 32 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -16*((-3366)\/(-72))\/(-17). What is the highest common divisor of 13684 and d?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-1)\/14)\/(8\/44))\/(1*(-5)\/40).\nAnswer: 22\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w + 430 = 10*w. Is 18 a factor of w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -302 or -301?\nAnswer: -301","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 4401, 8946, 13621, 18426, 23361?\n\"Answer: 65*d**2 + 4350*d - 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 588397 is divided by 1045?\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = -3*l**3 - 6*l**2 - 10*l + 21. Calculate x(-6).\nAnswer: 513","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1433*l**2 - 676*l**2 - 757*l**2 - 3*l**3.\nAnswer: -3*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 164 - 148. What is the greatest common divisor of s and 6?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.0217 - 0.4783. What is the closest to -1\/3 in 2\/25, g, 3\/2, 5\/3?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.00508*-0.3\nAnswer: -0.001524","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 8a (base 11) in base 16?\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -15783, -27015, -38251, -49491, -60735, -71983?\n\"Answer: -2*k**2 - 11226*k - 4555","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 4788, 5338, 5888?\n\"Answer: 550*d + 4238","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = -3*q**2 - 428*q - 15267. What is w(-71)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Determine q so that q**3\/7 - 27577*q**2\/7 + 138003311*q\/7 + 762646498153\/7 = 0.\nAnswer: -3217, 15397","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 0.2, -0.5, 1, 12?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:18 PM and 7:17 AM?\nAnswer: 539","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/23, 18, 126 in descending order.\nAnswer: 126, 18, -2\/23","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*z - 3*z = 184. What is the remainder when 91 is divided by z?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:39 AM and 3:23 AM?\nAnswer: 104","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -14*8\/80*5.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = -y**2 - 10*y + 10. Let m be h(-10). Suppose 0 = -3*x + 8 + m. Let v(l) = x*l - 3*l - 2*l. Let f(g) = 3*g. Calculate f(v(w)).\nAnswer: 3*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 657 + -514. Let v = 143.767 - m. Round v to 1 decimal place.\nAnswer: 0.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 246\/24 - (-6)\/8. Factor -7*g**5 + 8*g**3 - g + j*g**5 + g - 12*g**4.\nAnswer: 4*g**3*(g - 2)*(g - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8\/3 < 34?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = -84657*t**2. Let g(i) = -3*i. Determine d(g(n)).\nAnswer: -761913*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 456 minutes after 3:34 AM?\nAnswer: 11:10 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 90\/(-6) + -1*-1*2. Let s = -17 - i. Suppose 7 = -c - 0*c + 3*g, -3*g + 6 = 0. Sort s, -14, c in ascending order.\nAnswer: -14, s, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -36480 divided by 3040\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y + 3*u = -15, 3*y + u = -u + 7. Suppose 0 = g + 5*n - 11, -3*g + 6 = -y*n - 45. Let j be 206\/52 + 84 + 78588\/(-936). Solve 0 = j*m - 0*m - g for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12405 at least 12398?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 156 - 85. Suppose 0 = -f + i - 15. Suppose 4*t - 5*s + s = f, -4*t = 4*s - 24. List the prime factors of t.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 12520764 divided by -231866?\nAnswer: -54","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -114826 and -25646?\nAnswer: 89180","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 k and 1 z when two letters picked without replacement from aqkzjqz.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*f + 288 + 432 = 39*f for f.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h = -4*q + 25678, 9*h = 6*h - 5*q + 76999. Is h prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 85 (b) -4 (c) 1.364 (d) -0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) be the second derivative of -8*j**7\/21 + 2*j**3\/3 + 26*j. What is the second derivative of q(k) wrt k?\nAnswer: -320*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-5)\/(-15) + (-5)\/((-45)\/42)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 21 - 31 - (-3 + 0).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = 28*v - 18. Give j(-3).\nAnswer: -102","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.4197311 micrometers to millimeters.\nAnswer: 0.0004197311","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {u: 3, x: 17}. Give prob of sequence xxxu.\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/4 of a litre in millilitres?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = z**2 + 4*z - 12. Let c be r(-6). Suppose -3*y = h + 196, -5*y + c*h - 324 = -h. Let o = y + 181. Is o a multiple of 33?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v = 2, 5*r + v = 8 + 9. Let x(u) be the second derivative of 0*u**2 - 3\/40*u**5 - 1\/60*u**6 - 1\/12*u**r - u + 0 - 1\/8*u**4. Solve x(j) = 0 for j.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*b + 4 = 13*q - 15*q, -4*b = -q + 10 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 175*p + 4196 - 696 = 0 for p.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = 0 - 194*u**3 - 3 + 195*u**3 + 2*u**2 - 2*u. Let x be t(-2). Solve 4*c + x = -3*g, -g - 4*c = 1 + 2 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 1\/6 of a year?\nAnswer: 2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 90569166 and 18.\nAnswer: 271707498","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = -t + 2. Let d be b(-2). Suppose -d = 2*q - 14. What is the third derivative of -2*y**6 + q*y**6 - 6*y**6 - 2*y**2 wrt y?\nAnswer: -360*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x + 27 = -p, 18*p - 14*p = x - 24. What is the highest common divisor of 174 and x?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 32760856?\nAnswer: 2, 67, 61121","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = -2*r, -7*k + 20 = -2*k + 2*r. Solve 0 = -y + k*y - x + 3, -2*y + 5*x = 0 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -134*b**5 - 105*b**2*w**3 - 57*b*w**3 + 206*b*w**2 wrt b.\nAnswer: -2680*b**3 - 210*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = m - 4. Let k be q(6). Let c(d) = 68*d**2 - 8*d + 26. Let p be c(4). Suppose 0 = -0*h - k*h + p. Is h prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2979*u**3 + 5*u**2 - 2909*u**3 + 11854*u**3 - 2989*u**3 - 2980*u**3 - 5*u**2.\nAnswer: -3*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 14271059 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 111*k - 45 = 116*k + 5*o, 0 = k - 2*o - 18 for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 413189754 to the power of 1\/2, to the nearest integer?\nAnswer: 20327","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) be the third derivative of h**6\/120 + 2*h**5\/15 + 7*h**4\/24 - 5*h**2. Give s(-7).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -13*(15\/(-6) + (-2)\/(-4)). Let n = 28 + s. What is the least common multiple of 33 and n?\nAnswer: 594","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 708 minutes before 9:36 AM?\nAnswer: 9:48 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 83\/33 and (0 - 3)*2919\/378.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2761856 divided by 86308?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9.212118mm to nanometers.\nAnswer: 9212118","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 52147 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 278*y = 264*y - 196 for y.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*q = -2*h - 13, 0 = 2*q + 216*h - 220*h - 62 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = -2*m**2 - 3*m + 4. Suppose 5 + 1 = -3*x, -4*x - 14 = 2*v. Let o be s(v). Which is the third smallest value? (a) o (b) 3 (c) 4 (d) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = 6*n + 5. Let u(f) = -2*f - 2. Let c = 22 - -8. Let b(t) = t**3 + 8*t**2 + 11*t - 6. Let h be b(-7). Let z = c + h. Determine z*x(w) - 11*u(w).\nAnswer: -2*w + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -114402 divided by 4974.\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = 1161954 - 1161954 + 27*b. Let w(k) = 3*k - 23. Calculate v(w(f)).\nAnswer: 81*f - 621","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -1 - 333002030?\nAnswer: -333002031","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 0.5, 2, 160.219, -3, -7, 1\/3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 10\/((-270)\/(-9)) - 15\/(-9). Put -21, 5, -2, g in decreasing order.\nAnswer: 5, g, -2, -21","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8*s + 8*s - 4*s + 5*s.\nAnswer: s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l = 2*l - 90. Let v be 41\/(-123)*9\/(-1). Let x(k) = 3*k**3 - 5*k**2 + k - 8. Let h be x(v). Is h < l?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 2*24\/112*49. What is the greatest common divisor of v and 168?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (13*d**5 + 48*d**5 - 10*d**5)*(5 + 20 + 1).\nAnswer: 1326*d**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j = j - 3*b - 12, 5*j = -2*b - 8. Let x(d) = -d**2 - 6*d - 5. Let n be x(-5). Suppose 4*w - a = 2, -2*a + j*a - 4 = n. Solve 2*y - 3 - 3 = w for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = -6*r**3 - 401*r**2 + 80*r + 872. Let y be t(-67). Let c(g) = g**2 - 5*g + 1. Let i be c(6). Solve -8*d = -i*d - y for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 13888589?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 19944 and 2664.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 8183105 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 36*w - 19*w - 47 - 19*w to y*w + d and give y.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 652 a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y - 5*m = -18, 0 = m + 2*m - 6. Suppose -y*b = -0*b - 20, j = -4*b + 26. Suppose j*q = 7*q + 4. Which is smaller: -3 or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:46 PM and 12:26 AM?\nAnswer: 40","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-9)\/16*10*(-8)\/(-20)?\nAnswer: -9\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 - 4*j - 5)*((-3 + 1 + 4)*(-4 + 0 + 5) - 1 + 2 + 7).\nAnswer: -40*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1657\/45 - 183\/5. Factor -4\/9*d**3 + 2\/9*d**4 + v*d**2 + 0 + 0*d.\nAnswer: 2*d**2*(d - 1)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 61\/332 and 27\/206?\nAnswer: 34196","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 26504577 divided by -591.\nAnswer: -44847","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 115063211 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 19 + -15. Suppose -b - 422 = -2*b - 5*r, -a*r + 1244 = 3*b. What are the prime factors of b\/12 + (-2)\/6?\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1 - -2) + (1 - 4).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 40705654*r - 20352832*r + 7 - 20352819*r.\nAnswer: 3*r + 7","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1\/8*u**4 - 1\/4 + 3\/8*u**2 - 1\/8*u + 1\/8*u**3 = 0. What is u?\nAnswer: -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2*-689.\nAnswer: 1378","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: ((-210)\/(1848\/44))\/((-10)\/(-36))\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 x and 2 z when three letters picked without replacement from {k: 3, x: 4, z: 1}.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 86949526?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*y**2 + 73*y**2 + 3*y**2 - 73*y**2.\nAnswer: -4*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.7 + -0.649. Let q = -3.449 - h. What is q rounded to zero dps?\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -39.3 - -36. Let t = -3 - d. Let w = 4\/5 + -3\/10. Which is the third biggest value? (a) w (b) t (c) 2\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3.455 * 1.7717\nAnswer: -6.1212235","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 3*p**4 - 622*p**2 + 5048*p.\nAnswer: 36*p**2 - 1244","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express (-30*r - 15*r - 24*r)*(-34 + 30 - 71) as a + z*r and give z.\nAnswer: 5175","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 750*q - 2*i + 2 = 747*q - i, -70 = 4*q - 10*i + 2 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 2554 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -1 - 83\/(-17) - (104 + -100). Which is the third biggest value? (a) 7\/20 (b) 1 (c) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9692914.\nAnswer: 2, 7, 11, 113, 557","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 - (1 + -2 - -2)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from oxccojxjc. What is prob of picking 2 c?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*o + 2*c - 12, -3 = 8*c - 27 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*c + 3*s - 4*s = 193 - 79, c + 2*s = 24 for c.\nAnswer: 28","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 892538941?\nAnswer: 7, 71, 1795853","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w - 5*i - 35 = 0, -6*w + w - 2*i - 20 = 0. What is the common denominator of (0 - 1) + 51\/(-16) and w + 5235\/1650 + (-4)\/10?\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.2481 + 0.26454. What is a rounded to three decimal places?\nAnswer: 0.016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = 2*r**2 + 6*r - 3*r**2 + 4 + 0*r**2. Let j be ((-18)\/3)\/(-2)*1. Does 13 divide g(j)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-4 - -1) + (-2 - -9)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 119949360 is divided by 41955.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-2)\/4)\/(2\/(-80)*-4). Let j(z) = -8*z**3 - z. Let h be j(-1). Let a = h + b. Put 0, -3, a in increasing order.\nAnswer: -3, 0, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:50 PM and 5:02 PM?\nAnswer: 252","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 178 + -177.9999997765. What is m rounded to seven decimal places?\nAnswer: 0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = 10*w**3 + 3*w**3 - 2*w**3. Determine q(-1).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 670*c = 749*c. Solve c = p + 9*p + 50 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 844044*b*z**2 - 236*b*z - 2650*b wrt z.\nAnswer: 1688088*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round -19979769 to the nearest ten thousand.\nAnswer: -19980000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = 17*p. Let f(w) = -33*w. Let n(l) be the first derivative of -90*l**2 - 146. Let a(k) = 27*f(k) - 5*n(k). Calculate a(b(y)).\nAnswer: 153*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*r + 27*r - 594. Let n = r + 88. What are the prime factors of n?\nAnswer: 2, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 82158 - 676324172.4\nAnswer: -676242014.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide 3302495235?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 164542.65ms?\nAnswer: 2.7423775","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 45736.\nAnswer: 2, 5717","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 85 + 6. What is the tens digit of r?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is eleven tenths of a minute in milliseconds?\nAnswer: 66000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -8\/7*a - 8\/7 + 6\/7*a**2 + 8\/7*a**3 + 2\/7*a**4.\nAnswer: 2*(a - 1)*(a + 1)*(a + 2)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*i**3 + 2*i**3 - 2*i**3 + (-2*i**2 + 5 - 5 + (0*i + i + i)*(0*i + 2*i - 4*i) - 6 - 4*i**2 + 6)*(-i + 5*i - 2*i).\nAnswer: -22*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -1 + 0 + -1 + 14 + -21\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (6\/(-15))\/((-3)\/(-15)). Let p be 3\/((-6)\/2)*g. Suppose s + 16 = 4*s - 4*v, -s = -v - 5. Solve -3*x + s*m = -4, -2*x + 0*m - p = 2*m for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1541619 and 1737?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 66 + -5a5?\nAnswer: -53a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 418*s - 1003*s - 22230 for s.\nAnswer: -38","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -4871 or -14611\/3?\nAnswer: -14611\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -4.147 - -0.047. Let v = z + 4. What is the closest to 0 in -3, v, 0.4?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine u, given that 3*u**3\/2 - 139403*u**2\/4 + 2076743*u\/2 + 174030 = 0.\nAnswer: -1\/6, 30, 23204","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - g + 0)*(2 - 2 + 2*g**3) - 6*g - 6*g + 10*g - 23*g**4.\nAnswer: -25*g**4 - 2*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -13 (base 5) to base 11\nAnswer: -8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -3829526 (base 10) in base 3?\nAnswer: -21012120010022","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1447855\/69003 - -628\/2091. Let v = -283\/11 + t. Calculate the common denominator of 65\/18 and v.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*c - 2*c = 20. Suppose c*h + 3*t + 4 = 0, 24 = 4*h + t - 5*t. Solve 15 = h*q + 5 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = 2*m + 6. Let d be s(-4). Let i = 3 - d. Suppose -k + i = 6. Is k not equal to -1\/2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from euuuuppe. What is prob of picking 3 u?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round 63.98309 to 1 dp.\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3 - 5*j + 0*j + 7*j)*(-11*j**3 - 10*j**3 + 7*j**3) to v*j + k*j**2 + s + h*j**3 + f*j**4 and give f.\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 6742 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) be the first derivative of q**4\/16 - q**2\/2 + 6. Factor g(j).\nAnswer: j*(j - 2)*(j + 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1344550\/9 or -149394?\nAnswer: -1344550\/9","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -0.5 (b) 0.3 (c) 47 (d) 1\/53 (e) 1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = 105*n**2 + 9*n. List the prime factors of j(-2).\nAnswer: 2, 3, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -8414341 * 0.1.\nAnswer: -841434.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-41151)\/40 - (-8)\/20. Let c = a + 1030. What is the common denominator of (-3)\/(-3) - 37\/3 and c?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {d: 2, l: 8, c: 5, r: 3, o: 1}. What is prob of picking 1 d, 2 c, and 1 o?\nAnswer: 5\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = g**2 - 16*g - 25. Let n be f(17). Let t be (-12 + -1)*(-1 - -2). Let z = n - t. Solve 3*d = -5*b - 11, -2*b - 8 = z*d - 2*d for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -4? (a) -0.2 (b) -5 (c) -30 (d) 2\/15 (e) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*r + 5*r - 56*r.\nAnswer: -45*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -294, -583, -872, -1161, -1450?\nAnswer: -1739","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = -14*y + 4*y + 8*y. Let d(c) = 9*c**2. What is d(v(n))?\nAnswer: 36*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 145377 = -15939*w - 214*w for w.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = -18*v + 291. Let q be t(16). Suppose q*f - 3*j - 489 = 0, 4*j + 335 = 2*f - j. What is the hundreds digit of f?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*y + 653 = 5*m + 2*y, 2*m + 4*y = 274. What are the prime factors of m?\nAnswer: 3, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -12 divided by 3483\nAnswer: -4\/1161","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 319 is divided by 151?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 3899 and 14.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Determine i, given that 6*i**3 + 1235468*i**2 - 2059134*i - 823652 = 0.\nAnswer: -205913, -1\/3, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is (-3)\/((-189)\/(-812049))*(-3)\/1 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-6)\/(-60)*5)\/((-1)\/22). Let i(p) = 2*p**3 + 22*p**2 - 9*p + 4. List the prime factors of i(h).\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5\/892559 greater than or equal to 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 78 and 6462.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 17\/212 and -59\/2968?\nAnswer: 2968","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round 228220.84 to the nearest 100000.\nAnswer: 200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (6 - (-3 + -4 - -15)) + 1 + 12.\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find l, given that 5*l**5 + 9318*l**4 + 4952500*l**3 + 546254578*l**2 - 1332670137*l + 781453736 = 0.\nAnswer: -857, -152, 1, 7\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in 25, 0.1, -35?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = -6*r + 252. Let f(t) = t - 12. What is -5*f(p) - k(p)?\nAnswer: p - 192","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 921407 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 2860025 to the power of 1\/9, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-50)\/(-15) + 4\/6. Suppose y - o = 10. Is 13 equal to y?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is thirty-three fifths of a centimeter in micrometers?\nAnswer: 66000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = -j**2 + j + 2. Give p(3).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.5, -3\/5, 2\/9, 3 in decreasing order.\nAnswer: 3, 2\/9, -0.5, -3\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 7454 to the power of 1\/3, to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.04 - -0.42. Let j = z - 4.38. Let w = 6\/23 - 127\/46. Put j, w, -0.07 in descending order.\nAnswer: -0.07, w, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(3*(sqrt(63) - (sqrt(1575)*-1 - sqrt(1575))))\/(-2*(sqrt(81) + sqrt(9))*2).\nAnswer: -33*sqrt(7)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 663 minutes before 6:01 AM?\nAnswer: 6:58 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = -26*f + 291. Let m be g(11). Let c = 1433 - 793. Suppose -3*x = l - 239, 555 = 5*l + m*x - c. Is 15 a factor of l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 87355305?\nAnswer: 3, 5, 1941229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -29 - -57\/2. What is the closest to 3 in -3, f, -4\/5?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 2022211 + 10232?\nAnswer: 2033103","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 1305781363 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*a + 3*f + 15, -4*a = 3*f + 1259 - 1239 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 8 and 228?\nAnswer: 456","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = -212*i + 212. Let m be k(1). Is m greater than or equal to -2\/2081?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 11.8 + -0.8. Let b = z + 221. Let w = -232.00000141 + b. Round w to 7 dps.\nAnswer: -0.0000014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = -2*z - 1. Let l be j(-4). Suppose l*x + 12 = 3*y + 2*x, 20 = 5*y + 5*x. What is the remainder when y is divided by 33\/(-44) + 30\/8?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 17562031 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -60, -133, -218, -315, -424, -545?\nAnswer: -678","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -135, -271, -395, -501, -583?\nAnswer: -635","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = 2*w**2 - 15*w + 2. Let p = 21 + -26. Let x = 15 + p. List the prime factors of u(x).\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -150 + 192. Suppose -10*c + p*c = -15129600. What is c rounded to the nearest 10000?\nAnswer: -470000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + -4 + sqrt(7) + 1.\nAnswer: -2 + sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round 121597.0147 to the nearest 1000.\nAnswer: 122000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) be the first derivative of u**6\/120 - u**5\/40 + u**4\/48 + 3*u + 2. Let y(b) be the first derivative of c(b). Factor y(a).\nAnswer: a**2*(a - 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1.904 - -914.904. Let n = o - 913.000000537. What is n rounded to 7 decimal places?\nAnswer: -0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (1235\/(-57) + 23)*134058\/4 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 400 + -400.5. What is the closest to 0 in -3, -1.3, l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1 - 2 + 63*q**2 + 1 to the form w + n*q + v*q**2 and give n.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 15842.\nAnswer: 2, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*i + 3*b + 30, 4*i = 16*b - 14*b + 32. Let v(u) be the second derivative of -23*u**3\/6 - u**2\/2 - 4*u. Let n(m) = 8*m. Determine i*v(d) + 17*n(d).\nAnswer: -2*d - 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {i: 2, v: 11, w: 1}. What is prob of sequence ivv?\nAnswer: 55\/546","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -3587*b**2*c**3*z**2 + 151*b**2*c**3*z - 65*b*c**3*z**2 - b*c**3 - 2*b*c**2 - 129*b*z**2 + 3*c*z wrt b.\nAnswer: -7174*c**3*z**2 + 302*c**3*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13*o + 33*o = -368 for o.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + (sqrt(176) - (-3 + sqrt(176)*-3) - (-4 + (sqrt(99) - sqrt(11))**2 + 0)) + -2.\nAnswer: -36 + 16*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -3*4*(-5)\/(-30). Let d be (9\/((-45)\/220))\/z. Suppose d*a - 19*a = 156. What are the prime factors of a?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence im when two letters picked without replacement from {u: 1, a: 3, m: 4, i: 2, z: 1}.\nAnswer: 4\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is u in u**5 + 1308646*u**4 + 3925932*u**3 + 3925930*u**2 + 1308643*u = 0?\nAnswer: -1308643, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -117795, -117757, -117695, -117609, -117499, -117365, -117207?\n\"Answer: 12*u**2 + 2*u - 117809","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-132)\/(-4) - (8 - 10). Solve -6*f + f - u = -5*b, 2*f = -3*b + 6 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -321*y = -342*y - 42 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = -i + 47. Calculate the remainder when a(0) is divided by 10 + 4\/4 - 3\/(-3).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d*d**21*d)\/d)\/d**(-1\/9) assuming d is positive.\nAnswer: d**(199\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 169\/3960 and -23\/4067910?\nAnswer: 16271640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -45\/3824201 + 14826446398590\/49714613. Let s = m - 298067. Let o = -164 + s. Put 2, 5, o in decreasing order.\nAnswer: 5, 2, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = -f**3 - 3*f**2 + 3*f + 3. Suppose -3*o - 15 = -0*o. Let z = o - -5. Suppose z*m + m - 5*q = 23, -28 = 4*m + 4*q. Give s(m).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 4 + -1. Let t(r) = -5*r. Let z be t(4). Let v be z\/(-8)*(-8)\/(-10). Solve -2*x = -v*b + 8, 3*b + g = -x + 19 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -14 + 78. Suppose 5*g = 3*j + 18, 6 = g - 2*j - j. Suppose -5*m + 2*w + z = 0, -5*w - 46 = g*m - 6*m. What is the highest common factor of m and 60?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s - s = 4*z + 44, 0 = -4*z - 20. Let j(d) = d**2 + 7*d - 4. Let y = 11 + -19. Let i be j(y). Calculate the highest common factor of s and i.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = -k**3 + 2*k**2 - 4*k + 2. Let c be u(4). Find the common denominator of 52\/21 and 18\/(-30) + 0 + c\/(-12).\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 266 is divided by 266.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 1 - 165*o**3 + 3*o**2 + 145*o**3 - 1 wrt o?\nAnswer: -120","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 0.4 and -651.\nAnswer: -650.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) be the second derivative of x**6\/15 - x**5\/5 + 2*x**3\/3 - x**2 - 2*x. Factor l(p).\nAnswer: 2*(p - 1)**3*(p + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 85100*u + 7648 + 6768*u**3 + 12425 - 28*u**5 + 18*u**4 + 42520*u**2 + 927 + 142*u**4 = 0. What is u?\nAnswer: -5, -2\/7, 21","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let d(y) be the third derivative of -1\/78*y**5 + 0*y + 1\/780*y**6 + 1 - 2\/39*y**4 + 4\/13*y**3 + 4*y**2. Let d(z) = 0. What is z?\nAnswer: -2, 1, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-27)\/(-105) + 4\/(-10). Let i be (3 - 7 - -2) + 6\/3. Which is the closest to i? (a) -4 (b) j (c) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 7*u - 3*u, 0 = 4*g - 5*u - 72. What is the greatest common divisor of 45 and g?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = 47*t**2 - 7*t + 7. Let n(l) = 46*l**2 - 7*l + 7. Let s(r) = 5*k(r) - 6*n(r). Let p(z) = -20*z**2 + 3*z - 3. What is 7*p(v) - 3*s(v)?\nAnswer: -17*v**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Does 154 divide 4312?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many weeks are there in 519.324372 minutes?\nAnswer: 0.051520275","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 47, 1\/24, 26, 4\/7, -0.5?\nAnswer: 1\/24","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -1650 divided by -5?\nAnswer: 330","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = n**2 - 7*n - 3. Let j be (1 + -2 + 2)*3. Suppose j*h = 5*h - 16. Calculate the remainder when y(h) is divided by 3.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -73111 divided by 893\nAnswer: -73111\/893","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y + 104458 = -31*o + 33*o, -o + 3*y + 52229 = 0. Is o a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -x = 2*g - 16, -4*g - 10*x - 6*x - 7*x = 5*x + 5*x - 218 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: ((-8)\/(-192)*-4)\/(1\/(-27))\nAnswer: 9\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = 263*u**2. Let i(a) = -4*a**2. Give i(k(x)).\nAnswer: -276676*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 11\/2 of a hour in minutes?\nAnswer: 330","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -10.628617 plus -0.52427?\nAnswer: -11.152887","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-57)\/36)\/(-19)*-3)\/((-51)\/(-544))?\nAnswer: -8\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-11080)\/49860*(19\/(-4) - -1).\nAnswer: 5\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 9313\/34 + -274. Find the common denominator of -61\/6 and b.\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22 - 97 = -5*z. Let r be (-5)\/z - (-11)\/(-3). Let k(j) = j**3 + 5*j**2 - j + 4. List the prime factors of k(r).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 88814196 to the power of 1\/3, to the nearest integer?\nAnswer: 446","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1025 - 1020. Which is the nearest to -2\/11? (a) 54 (b) -4 (c) g (d) -2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*m + 0 + 0 + (-25*m - 32 + 32)*(0 + 1 + 0)*(-10 + 29 + 11) as c*m + v and give v.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find f such that 2*f**4 + 8218*f**3 + 24642*f**2 + 24638*f + 8212 = 0.\nAnswer: -4106, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (6\/36)\/((-3)\/(-21)). Let j = m + -8\/3. Which is the nearest to 2? (a) -5 (b) j (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -50 and 5.1?\nAnswer: 55.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*k**2\/3 + 320*k\/3 + 656\/3 = 0 for k.\nAnswer: -2, 82","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is (636984\/(-78640))\/((-6)\/(-40))?\nAnswer: -54","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o = -4*i + 22, -2*o + 13 + 5 = 4*i. Let y(u) = 7*u + 2 - 1 - 6*u. Let n be y(o). Sort 3, -3, n.\nAnswer: -3, n, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -32.0355 + -0.0645. Let b = 50.8 + w. Round b to the nearest integer.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = 88 - 37 + 19*g - g**2 - 45 - 28. Calculate x(18).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 122 - 716 = 3*d. Let x = -48 - d. Let z be (x\/12)\/((-2)\/(-4)). Solve 0 - z = -5*v for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 1\/4 (b) -3 (c) 0.09 (d) 2.137 (e) -8 (f) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = -r**3 + 2*r - 1. Let d be l(-2). Let -1 + 3 - 10*m**d + 14*m**2 - 2 - 4*m = 0. Calculate m.\nAnswer: 0, 2\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + sqrt(19) + -2 + -2.\nAnswer: -5 + sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 587 minutes before 8:35 PM?\nAnswer: 10:48 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 698620990?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11 = -3*v - 8. Suppose -v - 1 = -s. What is the second derivative of -s*x - 4*x**2 + 2 - 2 wrt x?\nAnswer: -8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = -14680*k. Let x(w) = -10*w - 228. Let g(d) = -8*d - 171. Let j(l) = -4*g(l) + 3*x(l). Give j(b(c)).\nAnswer: -29360*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = d**3 + 46*d**2 - 131*d - 9. Let i be q(-31). What is the greatest common divisor of i and 59?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.621 - -0.321. Which is the nearest to 0? (a) v (b) -1 (c) 2\/11 (d) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = 18*d**2 + 5*d. Let l(u) = 13*u**2. Let y(w) = 12*w**2 - w. Let v(n) = 7*l(n) - 6*y(n). What is -6*q(p) + 5*v(p)?\nAnswer: -13*p**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 38 - -174?\nAnswer: 1ac","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -68.00086 + 68. What is l rounded to four dps?\nAnswer: -0.0009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = -r**3 + 20*r**2 - 36*r. Let k be a(18). Let v = 0 - 0. Calculate the remainder when 16 is divided by ((k - v) + -3)*(-104)\/78.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 204674?\nAnswer: 2, 102337","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ihh when three letters picked without replacement from {a: 6, h: 4, k: 3, i: 1}.\nAnswer: 1\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 h and 1 w when two letters picked without replacement from {h: 1, o: 2, w: 6, d: 3}?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2187 = -34*u + 2153 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -3 + 5 + 13 - 34\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m\/m**(-1)*((m*m**(1\/2)*m)\/m)\/m)\/(m**(-2\/9)\/m)**18 assuming m is positive.\nAnswer: m**(49\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -3619473, -3619471, -3619469, -3619467, -3619465, -3619463?\nAnswer: -3619461","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 405.8667 years to decades.\nAnswer: 40.58667","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 3 - (7 - 57) - (-25 - (-29 + 18))\nAnswer: 67","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -371, 8, -1116 in descending order.\nAnswer: 8, -371, -1116","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 1641, 3116, 4591, 6066, 7541?\n\"Answer: 1475*r + 166","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.2219 and 1.4.\nAnswer: 0.31066","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -7*5\/10*4\/2?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*j = 5*p + 9, -91*j + 89*j + 1 = -3*p for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is -16858.7 <= 214?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 669 minutes after 8:37 AM?\nAnswer: 7:46 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 2 + 1)*(1 - 2 + 2)*(-26545 + 26545 - 737*b).\nAnswer: 1474*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 98*b**4\/3 - 182*b**3\/3 - 36*b**2 + 128*b\/3 + 64\/3 = 0.\nAnswer: -4\/7, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -13 - -16. Let n be (-1)\/3*(18 - 3)\/(-1). Let t(s) = s**2 + 2*s + 1. Let c(j) = -2*j**2 - 3*j - 1. What is m*c(x) + n*t(x)?\nAnswer: -x**2 + x + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 98 and 245931?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 384 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 62 and 31.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + (-2 + sqrt(180))**2 + 0)*-1.\nAnswer: -181 + 24*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -20422 + 5?\nAnswer: -20413","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14 = -2*r, -5*f - 575*r + 577*r = -19 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*g = -2*g - 35. Let u = g - 2. Let y(d) = 2*d**2 - 2*d - 1. Let p(a) = 3*a**2 + 2*a - 1. Let o(h) = p(h) - 2*y(h). Calculate o(u).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r + 3*j = 2 + 5, r + 2*j = 1. Let v = 34 - 33.991. Let u = v - 0.509. Which is the nearest to r? (a) u (b) -2\/3 (c) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -t**5\/3 - 4309*t**4\/3 + 4305280*t**3\/3 - 975119012*t**2\/3 = 0.\nAnswer: -5177, 0, 434","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.648 - 0.7. Let l = o + -0.048. What is the nearest to l in -1, 0.5, 2?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from dctddtctcdcc. What is prob of sequence ttt?\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 4\/30 + (-124)\/30. Let p be 0 + (-4 - c) + 358. Suppose -2*d + p = -642. What is d rounded to the nearest 1000?\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*a + 1 = 1. Let x(m) = -m**2 + m + 4. Let g be x(a). Put 8, 6, g in ascending order.\nAnswer: g, 6, 8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -0.2, -0.01, 84?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -490.6 (b) 0.014 (c) 2 (d) 2\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a + 0*a + 21760003 = 3*u, -4*a - 21760005 = -5*u. What is a rounded to the nearest 1000000?\nAnswer: -5000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = -2*z - 2 + 8 + 3*z**3 - 2. Let a be t(3). Let c = a - 60. What is the tens digit of c?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = -5*y**2 + 2. Let d be s(2). Let h = 20 + d. Suppose -h*a + 2*n = -76, -n - 46 = -4*a + 103. Is a composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -1846 + 2cc?\nAnswer: -1547","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i = i + 72. Let z be (i + 0)*28\/21. Let u = z - -26. Solve -u*n - 5 = -1 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1175328\/(-32648) + 83 + 1 + -2?\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 0.182*-533\nAnswer: -97.006","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round -16.26633 to one dp.\nAnswer: -16.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(162)*2*-1)\/(sqrt(900)*1))\/((-2*sqrt(9)*2 - sqrt(36)\/sqrt(4)*6)*-6))**2.\nAnswer: 1\/45000","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2*f**2*j**3*t + 318*f**2*j**3 + 2*f**2*j**2 + f**2*j + j**3*t + 25*j - t wrt j?\nAnswer: 12*f**2*t + 1908*f**2 + 6*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 10*r**4 + 2*r**3 - 57*r**2 - 61021*r?\nAnswer: 120*r**2 + 12*r - 114","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:40 AM and 11:52 AM?\nAnswer: 552","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*g - 0*g - 200. Let q be g\/(-12) - 4\/(-6). Suppose 5*r - q*n = -0*n + 104, -5*r - 5*n + 95 = 0. Does 10 divide r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand c**2 - 3 + 3 + (22*c + 24*c - 9*c)*(3*c + 2 - 2) + 4*c**2 + 6*c - 6*c + 0 - 108*c**2 - 1 + 156*c**2.\nAnswer: 164*c**2 - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = 33*z**2 - 3*z. Let o(p) = 11*p**2 - p. What is 8*o(l) - 3*u(l)?\nAnswer: -11*l**2 + l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 5\/2 (b) 6 (c) 162915 (d) -4 (e) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f + 0*k = k + 16, 8 = 5*f + 3*k. Let l(c) = 4*c**2 - 4 + f - c**2. Let r(j) = 6*j**2. Give r(l(d)).\nAnswer: 54*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = 2*k**2 + k - 15. What is the tens digit of r(5)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = -c**2 + 5*c - 2. Let z be w(4). Let x(t) = -103*t**2 - 23*t + 105*t**z - 20 + 2. Is x(-17) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 129 + -124. Suppose x*y - 151 = l, -y + 58 = y - l. What is the remainder when y is divided by 4?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3908.6 take away -0.3?\nAnswer: 3908.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r = 3949 + 2291. Suppose r = -6*b + 2*b. Is 1\/(-7) + b\/(-21) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 498088 divided by 4.\nAnswer: 124522","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round -2590167.03 to the nearest 100000.\nAnswer: -2600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1424182.\nAnswer: 2, 509, 1399","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = 5*c**2 - c - 1. Let f(r) = 9*r**2 - 2*r - 2. Suppose 212 = 4*l - 320. Suppose 132*v = l*v + 3. Determine v*f(b) + 5*j(b).\nAnswer: -2*b**2 + b + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 764316261 a multiple of 521?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) be the second derivative of 39*k**5\/20 + 2*k**4\/3 + 4*k**3\/3 - 4*k**2 - 1501*k. Let g(n) = 13*n**3 + 3*n**2 + 3*n - 3. Determine -8*g(j) + 3*r(j).\nAnswer: 13*j**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 9137 to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.03 and 323632.\nAnswer: -9708.96","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(7) + -2 + 2)*6)**2.\nAnswer: 252","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = -10*h**2 - 19*h + 22. Let g(z) = -7*z**2 - 13*z + 15. Let k(y) = -7*g(y) + 5*t(y). Let n be k(-4). Let u(j) = 6 - n*j + 0 - 4. Determine u(2).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 16.85957kg in milligrams?\nAnswer: 16859570","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Are 130 and 130 equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a - 8 = a. Let n = a + 14. Suppose -5*m + 4 + 26 = 0. What is the least common multiple of n and m?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 74666 and 16440646.\nAnswer: 2018","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 14297 greater than or equal to 14181?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) be the third derivative of g**7\/8820 + g**6\/840 + g**5\/210 - g**4\/24 + 4*g**2. Let t(a) be the second derivative of c(a). Factor t(k).\nAnswer: 2*(k + 1)*(k + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -101 + 102 + 72*l**3 + 123*l**3 in the form i*l**3 + a*l + q + b*l**2 and give i.\nAnswer: 195","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 208*-766048\nAnswer: -159337984","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -61, -105, -149, -193?\nAnswer: -237","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.08 + 0.42. What is the closest to -3 in -4, m, 1?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 53.6 - 58. Let n = 4.4 + k. What is the biggest value in -3\/4, n, -4?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*r - 126 - 3*r - 8*r + 238 - 112.\nAnswer: -13*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 1, u: 2, i: 2, a: 4}. Give prob of sequence uu.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) be the second derivative of -l**3\/6 + 3*l**2\/2 - 20*l. Give f(3).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) be the second derivative of -k**4\/3 + k**3\/6 - 3*k. Let n(a) = -3*a**2 + a. Let w(c) = -3*n(c) + 2*r(c). What is the second derivative of w(l) wrt l?\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -3\/8, 1, -5, -13, -8\/3?\nAnswer: -8\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (1*3\/3)\/(-1). Calculate the common denominator of (-154)\/(-216) + h\/(-4) and (-138)\/92 - (-3 + 316\/6)\/(-14).\nAnswer: 189","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.0581457636 minus 12?\nAnswer: -13.0581457636","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 4 times -44\nAnswer: -176","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in -2\/15, 6, 5\/8, -0.4?\nAnswer: 5\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is x in -3*x**4\/2 - 315*x**3 - 32439*x**2\/2 + 33390*x - 16854 = 0?\nAnswer: -106, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Add 2 and 67010.\nAnswer: 67012","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 3878533793 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 462840834 to the power of 1\/2, to the nearest integer?\nAnswer: 21514","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + 2*sqrt(1300) - (-1 + (sqrt(1300) + sqrt(1300) + 0)**2).\nAnswer: -5194 + 20*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3317 divided by -2.\nAnswer: 3317\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence tn when two letters picked without replacement from {p: 1, b: 2, t: 5, x: 1, d: 2, n: 4}?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -79 - (40 - (-3 + 94)).\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s - 12 = 2*o - 3*s, 0 = -4*o - s + 1. Let t be (-4)\/(-18) + (-33996)\/(-108). Let h be (-84)\/t*(-6)\/(-28). Is o greater than or equal to h?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -224 - -231. What is the remainder when u is divided by 6?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 102010201021 - -1111?\nAnswer: 102010202202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 44*m - r - 20 = 39*m, 35 = 3*m + 4*r for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -62 + 147 - 31766*f - 85.\nAnswer: -31766*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 3, 7.\nAnswer: -4, 3, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = -i**3 - 63*i**2 - 176*i + 144. Give k(-60).\nAnswer: -96","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f**(-6)\/f*f*f)\/f)**(-4\/25)*(f\/f**1)\/f*(f*f*f\/((f\/((f*f**(-13))\/f))\/f)*f)\/f assuming f is positive.\nAnswer: f**(-251\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -601*g - 812 + 11096 - 18302 = 22633 for g.\nAnswer: -51","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 42, 306, 1016, 2394, 4662, 8042?\nAnswer: 12756","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify m**(-13\/4)*m*m\/(m*m*m**31)*m**9\/m**(-15\/2) assuming m is positive.\nAnswer: m**(-71\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = -35*y + 1. Is h(-6) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 77 minutes after 6:38 AM?\nAnswer: 7:55 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 317621 times 0.19?\nAnswer: 60347.99","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 40 - 54. Let x be (-6)\/42 + 250\/s. Let a(u) = -15*u + 35. Is a(x) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1 - -4. Suppose -v = 2*v + d*m - 33, 4*v - 3*m = 44. What is the tens digit of v?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = 359*k**2 - 5*k + 3. Let y(g) = 539*g**2 - 8*g + 5. Determine 8*h(u) - 5*y(u).\nAnswer: 177*u**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = -n**3 + n**2 - n + 2. Let o(s) = 93*s**2 - 4*s - 4. Let h be o(2). Suppose 12*t + 0*t = h. What is the remainder when t is divided by c(-2)?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a*a**(4\/11)\/a)\/(a\/a**(-20)))**1 assuming a is positive.\nAnswer: a**(-227\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-16)\/(-120)*9*(-10)\/(-2)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -8142 + -839c?\nAnswer: -13511","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6161 is divided by 67.\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2*b**3*x**3 - 1119*b**3*x**2 - 44*b**3 + 738*b**2*x**3 - 2*b*x**3 - 7*b*x + x**2 + 2*x wrt b.\nAnswer: -12*x**3 - 6714*x**2 - 264","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) be the first derivative of 5\/6*c**4 - 11\/3*c**3 - 16\/3*c + 20\/3*c**2 + 82 - 1\/15*c**5. Factor i(l).\nAnswer: -(l - 4)**2*(l - 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 149351 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -80*k**2 - 83*k**2 + 346*k**2 - 98*k**2 - 85*k**2 - 158*k**3.\nAnswer: -158*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k - 4*k + 2*l + 4 = 0, -k = 3*l - 16. Suppose y - 5 = 3*w, -3*y + 2*w = k*w - 48. What are the prime factors of 1*8\/2 - (y + -15)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 695468, 695503, 695538, 695573?\n\"Answer: 35*j + 695433","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -9\/4 (b) 0 (c) 2 (d) 9261.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = 5 + h - 3 + 4. Let y be g(7). Let w = -6 + y. List the prime factors of w.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) be the second derivative of 0 - 1\/6*j**4 - j + 0*j**3 + 0*j**2 + 1\/10*j**6 + 0*j**5. Find the third derivative of i(x) wrt x.\nAnswer: 72*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j*j\/(j*j\/j**(1\/2)*j)*j**(-6)\/j)\/((j**(-6)\/j)\/j**(-1\/3)))\/((j*j**(-1\/8))\/(j**(-7)\/j*j))**31 assuming j is positive.\nAnswer: j**(-5879\/24)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = z**4 - z**3 - z. Let t(f) = -6*f**4 - 8*f**3 - 18*f. Let u(r) = -8*h(r) + t(r). What is the second derivative of u(d) wrt d?\nAnswer: -168*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.0236 rounded to 1 dp?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -102 divided by -34.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 564 minutes after 12:25 PM?\nAnswer: 9:49 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/86 less than -14288?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = -21*u + 158. Let q(p) = 6*p - 1. Give k(r) + 5*q(r).\nAnswer: 9*r + 153","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -12588 divided by -6294.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 39 and 582274641.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) be the first derivative of 4*c**4 - 5*c**2\/2 + 3*c + 38. Find the second derivative of d(v) wrt v.\nAnswer: 96*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = -6*f**2 + 3*f - 3. Let h(b) = -b**2 + b - 1. Suppose 18*y + 3*x = 19*y - 5, -11 = 3*y + 4*x. Calculate y*r(t) + 5*h(t).\nAnswer: t**2 + 2*t - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = -14*k + 9. Let v(o) = -7*o + 4. Determine -4*j(f) + 9*v(f).\nAnswer: -7*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 16 a factor of 16459?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:06 AM and 9:28 AM?\nAnswer: 502","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1681 = 7*h - 6369. What are the prime factors of h?\nAnswer: 2, 5, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 13824?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -18 + -501504?\nAnswer: -501523","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Divide -22195603 by -79.\nAnswer: 280957","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 divided by 1107?\nAnswer: -5\/1107","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o = 12, 2*y - 13 = -4*o + 9. Suppose y*t - 24 = -3*t. Let u(j) = -4*j + t*j + 0 - 5 + 3*j. Determine u(6).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-31)\/(-6))\/((-327)\/(-1962)).\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (14\/(-6))\/(35308\/(-938184)).\nAnswer: 62","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d*d**(-2\/9)\/d*d*d*d)\/((d*d*d\/(d\/((d\/((d*d\/(d\/(d*d**(-7))))\/d)*d)\/d*d)))\/d)*(d*d**(-2\/3))**(4\/17) assuming d is positive.\nAnswer: d**(-940\/153)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 3 - (-156)\/(0 + 4). Suppose -2*r - 4*p + a = 0, 0 = -0*p - p. What is the greatest common factor of r and 189?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*x**2 + 2*x**2 - 4*x**2)*(x**2 + 4*x**2 + 7*x**2 - 4*x**2).\nAnswer: -16*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 728691.3 litres?\nAnswer: 728691300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = -r**3 - 9*r**2 - 15*r + 11. Calculate the least common multiple of 12 and p(-7).\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1430\/67 or 22?\nAnswer: 1430\/67","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = 13*s - 21. Let m(w) = w - 3. Let j(v) = d(v) - 6*m(v). Let y(h) = 10*h - 4. What is 7*j(r) - 5*y(r)?\nAnswer: -r - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (21\/27)\/((-7912)\/828)*4\/7.\nAnswer: -2\/43","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 1*9\/6 + 0. Let v = -0.7 - -5.7. Which is the nearest to -1? (a) -4 (b) v (c) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a + 14 + 16 = 0. Suppose -4*d = -35 + a. Solve 0 + 10 = c - d*o, 2*o = 4*c - 4 for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 0.1524802896 and 1.397?\nAnswer: 1.2445197104","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = 8*z**3 + 3*z**2 + 3*z + 7. Let c(x) = -15*x**3 - 7*x**2 - 7*x - 15. Let f(h) = 3*c(h) + 7*v(h). Find the first derivative of f(s) wrt s.\nAnswer: 33*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 424 by -4.\nAnswer: -106","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = k - 4. Let r = 7 - 21. Let h = 19 + r. Let c(y) = -1. What is h*c(j) - z(j)?\nAnswer: -j - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -91*q - 220 = -96*q. Let f be 4\/22*22\/q. Which is the fourth smallest value? (a) -5 (b) f (c) -4 (d) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = -335*l**2 + 16*l - 4. Let t(u) = 335*u**2 - 10*u + 3. Calculate -3*t(w) - 2*x(w).\nAnswer: -335*w**2 - 2*w - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 92\/4 + 3531\/(-132)?\nAnswer: -15\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m - 3*t - 4 = -23, -4*t = 2*m - 12. Suppose 35 = -l - m*l. Let q = 18 - l. What is the remainder when q is divided by 9?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2\/(-48))\/((-16)\/144)?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = -4492*j - 10. Let a(g) = -370594*g - 824. Calculate -5*a(v) + 412*w(v).\nAnswer: 2266*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 n, 2 c, and 1 j when four letters picked without replacement from vcccjcxcn?\nAnswer: 5\/63","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -60 times 8.4941?\nAnswer: -509.646","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -7601.8 + -1.66\nAnswer: -7603.46","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 32644 divided by 2?\nAnswer: 16322","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.056591 minus 0?\nAnswer: 0.056591","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -0.11 and 3.1?\nAnswer: 3.21","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x**2 + 28230*x - 66411075 = 0. Calculate x.\nAnswer: 4705","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = -m**3 - 3*m**2 - 5*m - 7. What is the tens digit of f(-4)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = -9 + 6*y**2 + 3*y**3 + 2 - 8*y**3. Let c be (5 + -11)\/((-1)\/(-1)). Let g(z) = 4*z**3 - 5*z**2 + 6. What is c*i(b) - 7*g(b)?\nAnswer: 2*b**3 - b**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -c = -o + 10, -12*o + 9*o = 3*c for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 61 - 55 - (-2 + 46 + (8 - 17))?\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 115\/((-414)\/18)*(6\/(-3))\/(-4)?\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 326965 is divided by 19.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 5 + 4)*(-2*a + 2*a + a) - 4*a + 3*a + 2*a - 2*a + 6*a - 3*a + 23*a + 56*a + 73*a.\nAnswer: 156*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9*b**2 + 5*b**2 - 13*b**2 + 7*b**2.\nAnswer: 8*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is (-15*(-5)\/60)\/((-3)\/12)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 79\/273 and -8\/1365.\nAnswer: 1365","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18 = -h + 8*b, -46*b + 23*b - 10 = -2*h - 25*b + 8 for h.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6, -9, -4, 3480 in decreasing order.\nAnswer: 3480, -4, -6, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 695345629 to the power of 1\/2, to the nearest integer?\nAnswer: 26369","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 105, 203, 301, 399, 497?\nAnswer: 595","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3555480.\nAnswer: 2, 3, 5, 29629","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = -4*h**3 - 8*h**2 + 3*h + 7. Let o(k) = -3*k**3 - 7*k**2 + 2*k + 7. Let g(x) = -4*i(x) + 5*o(x). What are the prime factors of g(6)?\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 128413*h**2 - 60269 wrt h?\nAnswer: 256826*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 126 - 122. Suppose 5*f + 15 = 5*k, -2*f + 2*k + 14 = y*k. Solve m - f*m + 7 = -2*p, -4*p - 23 = -5*m for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w - 4*h = -3*w - 12, 2*w = 3*h - 9. Let c = -0.35 - 1.35. Let d = c + 2. Which is bigger: d or w?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -164 + 112. What is the least common multiple of 8\/(-2) + (2 - i) + -2 and 36?\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*s - 9*s = 48. Find the third derivative of 4*w**2 - 2*w**5 + 5*w**2 - s*w**5 wrt w.\nAnswer: -480*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(sqrt(3)*-2 - sqrt(3)) + sqrt(3) + -5*sqrt(48) - (4 + sqrt(48)*2).\nAnswer: -24*sqrt(3) - 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is one fifth of a meter in millimeters?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = -1220*m - 17. Let p(z) = 17*z + 2. Calculate p(d(s)).\nAnswer: -20740*s - 287","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 7\/6 + (-1198263)\/772434.\nAnswer: -5\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 638 = 4*t - 5*u, -t = -0*t + 2*u - 166. Let f = -161 + t. Solve -13 = l + 3*d, -4*l - d - f = -6*d for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -1017*o**2 + 826 wrt o.\nAnswer: -2034*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*y**2 + 2*y**2 + 0*y**2)*(2*y**3 + y - y) - 5*y**5 + 39*y**5 - 12*y**5.\nAnswer: 26*y**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = l + 5. Let a = -7 + 7. Let d be k(a). Let g(c) = -c**2 + 5*c + 3. Let h be g(d). Solve 5*y + 10 = 5*m, -2*m = 2*m - 3*y - h for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is eight sevenths of a week in minutes?\nAnswer: 11520","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -29+-2.183185195\nAnswer: -31.183185195","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*w**4\/5 + 68*w**3\/5 - 306*w**2\/5 - 68*w\/5 + 304\/5 = 0.\nAnswer: -38, -1, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s\/((s*s**(6\/19))\/s)*((s*s**(2\/9))\/s*s*s)\/s)\/(s**(1\/4))**(-1\/5) assuming s is positive.\nAnswer: s**(6691\/3420)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -47 - -50. Solve -3*p = -0*p + g for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ggmbbgzzbzb. What is prob of picking 1 g and 1 b?\nAnswer: 12\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u + 5*c + 17 = c, 3*u - 23 = -2*c. Let r(g) = -314*g - 8. Let i(v) = 314*v + 7. Let o(j) = 7*i(j) + 6*r(j). Is o(u) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 615630?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = -7*t**2 + 6*t - 5. Let r be u(5). Let h be ((-9)\/1)\/((-10)\/r). Let y = 204 + h. Is y a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 4*k - 2*k + 2*k as p + u*k and give u.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 162\/(1*2\/21 + 550\/840). Calculate the highest common factor of 3600 and c.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1 by 106.\nAnswer: 1\/106","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 27 = 15*f - 33. Solve f = -2*t, -2*y = -4*y - 2*t - 8 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.078 in -9, 2, -1\/4, 28?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(25)\/(sqrt(10)\/sqrt(2)) + sqrt(5) + 4 + (sqrt(50) + sqrt(100)\/sqrt(2) + sqrt(50))\/sqrt(10) + sqrt(30)\/sqrt(54).\nAnswer: 4 + 16*sqrt(5)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = -7*y + 2. Let c be n(-3). Let x = -6 + c. Let d = -10 + x. Is d composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 71307 + -27928. Is w prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 12519?\nAnswer: 3, 13, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9*q**3 + 32*q**3 - 9*q**3 - 12*q**3.\nAnswer: 2*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 168 - (88 - -41) - (-92 + 5)?\nAnswer: 126","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) be the second derivative of -v**4\/12 - 5*v**3\/3 + 9*v**2\/2 + 12*v. Let d be i(-12). Is 7 a factor of d\/(-10)*2 + 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1220 (base 5) to base 12.\nAnswer: -135","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 2524858057 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 6319 - 6283. Solve h = 3*g + 17, -f*g + 34*g = -h + 13 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-2*1\/2)\/(4\/(-64)). Let o be (-2)\/(-2 + 1 + 12\/s). Let a = 5 - 1. Solve -a*r + o = -2*r for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 times 32?\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 6152 and 16?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) be the first derivative of o**8\/6720 - o**6\/120 - o**5\/30 - 10*o**3\/3 - 3*o**2\/2 + 167. Let k(i) be the third derivative of g(i). Factor k(z).\nAnswer: z*(z - 4)*(z + 2)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s**(-3\/5)*s)\/(s\/s**10))**(-1) assuming s is positive.\nAnswer: s**(-47\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 113711543 is divided by 8.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 86479496?\nAnswer: 2, 41, 263657","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1 (base 11) to base 4.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-585)\/(-10))\/13)\/(73\/292)?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of (-27)\/6 + 4 + (216865\/2)\/11?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6319931?\nAnswer: 617, 10243","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 11018 is divided by 13?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -0.2 (b) -45 (c) 2 (d) -3\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -322, -692, -1024, -1300, -1502?\n\"Answer: 3*x**3 + x**2 - 394*x + 68","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 174471107 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) be the first derivative of 1 + 0*w - 1\/6*w**3 - 1\/20*w**5 + 0*w**2 - 3\/16*w**4. Suppose f(k) = 0. What is k?\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 3 - -27. What is the remainder when 89 is divided by m?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 + 1 - (-1 + -8 - (3 - 10))?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -6, -2, -4, 7\/8, -1\/10 in descending order.\nAnswer: 7\/8, -1\/10, -2, -4, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.3 - 0.5. Which is the fourth smallest value? (a) 2\/7 (b) z (c) 1 (d) -1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 13*k**3*s**2*u**2 + k**3*s - k**2*u**2 + k*s**2*u - 2*k*s*u + 2*s wrt s.\nAnswer: 26*k**3*u**2 + 2*k*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 32401 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = -12323*r. Let n(q) = 28*q + 3. Determine n(j(z)).\nAnswer: -345044*z + 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -0.482849766 or 0.3?\nAnswer: -0.482849766","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = 4*q**3 + q**2 + q - 1. Suppose -3*d = -0 - 3. Let s be h(d). Let x = -2 + s. What is the units digit of x?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 41.199 and -7.043?\nAnswer: -290.164557","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 2, p: 3}. Give prob of sequence mp.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 48506750 is divided by 16168910.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = -y**3 + 6*y**2 + 9*y - 9. Let p be a(6). Suppose 0 = -2*c - 3*c + 5, p = 4*w + c. Calculate the greatest common divisor of w and 44.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -30 - -6445?\nAnswer: 6415","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 21ba20 - -6?\nAnswer: 21ba26","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*d + 4*d - 2800 = 0. Suppose -k - d = -6*k. What is the lowest common multiple of 4 and (-6)\/9 + k\/12?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*l - 3 = 2*b - b, 0 = -b + 5 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (28\/12 + -3)*-3. Suppose 0*u + g*p = 3*u - 43, -3*u + 58 = -5*p. Is u less than -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z = k - 6, -4*k + 5*z - 1 = -8. Suppose g - 9 = -x, -g - 5 = -2*x + 1. Differentiate 1 + k - o - x + 0 with respect to o.\nAnswer: -1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 121, 327, 609, 967, 1401?\n\"Answer: 38*w**2 + 92*w - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 5 - 10. Let u = -31842 + 63687\/2. Which is the fourth smallest value? (a) 4\/5 (b) -1 (c) q (d) u\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -40 (base 8) to base 6\nAnswer: -52","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -278286 times 155?\nAnswer: -43134330","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 63362528 is divided by 22.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*c = -7*i + 55, 3*i + c + 178 = 189 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(8\/5))**(-6\/23)*(t**(-2\/11))**20 assuming t is positive.\nAnswer: t**(-5128\/1265)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 25\/2 of a litre?\nAnswer: 12500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 19323 equal to 77297\/4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 101\/2886 >= 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is (2 + (-1544420)\/(-1) + 1)*1 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -6052704*z**3 + 31*z**2 + 1207*z + 7 wrt z?\nAnswer: -36316224","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -954, -1126, -1368, -1674, -2038, -2454, -2916, -3418?\n\"Answer: d**3 - 41*d**2 - 56*d - 858","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 41\/1198197 and 1\/21?\nAnswer: 1198197","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4590 = 2197*u - 2146*u. Suppose -2*s + s = -20. Calculate the greatest common factor of s and u.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-1 - (-68)\/16) + -3. Which is greater: p or 0?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 19\/3 - (18 - (24 + -19)).\nAnswer: -20\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 98887?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 106571547 + 5?\nAnswer: 106571554","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = 5*z + 1. Let g(s) = 31*s + 6. Let n(h) = -6*g(h) + 39*r(h). Let v = 4 + 0. Is 12 a factor of n(v)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u\/u**(4\/13))\/u)**(-1\/17)*u**(-9)*u*u\/(u\/(u**(2\/31)\/u)) assuming u is positive.\nAnswer: u**(-61093\/6851)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -267*j - 3383*j + 54750 for j.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 15785?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 15 - 17. Let l = o + 1. Is 2 + (l + 1)*-1 even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-20)\/15)\/(2\/3) - 7. What is the second biggest value in o, 2\/15, 0.7?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -73\/300635150 and -69\/240508120?\nAnswer: 1202540600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 86*a**3 + 82*a**3 - 674*a**3 + 415*a**3 + 83*a**3.\nAnswer: -8*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify v**(3\/2)\/v**(1\/7)*(v**(-1)\/v)**(-38) assuming v is positive.\nAnswer: v**(1083\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let 50*a**4 - 200*a**3 - 2038*a**2 - 1860*a - 432 = 0. What is a?\nAnswer: -4, -3\/5, -2\/5, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -12 - -51\/4. Which is the fourth smallest value? (a) y (b) -1 (c) -2\/9 (d) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 728 to the power of 1\/4, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u**4\/5 + 194*u**3 - 5874*u**2\/5 + 1766*u - 3928\/5 = 0. Calculate u.\nAnswer: -491, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 17\/2 in -1\/2, -2, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 210 - 3263659\/15540 - 17\/(-12).\nAnswer: 7\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -121, -420, -897, -1552, -2385, -3396?\n\"Answer: -89*w**2 - 32*w","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -902 or -2\/251405?\nAnswer: -2\/251405","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/11, -5, 3, -0.3, -2 in ascending order.\nAnswer: -5, -2, -0.3, 2\/11, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = l**2 - 3*l - 6. Let t be r(5). Let k(y) = 124066*y**3 + 4*y**2 + 3*y - 2. Let a be k(t). Let n = -6159702 - a. Round n to the nearest one million.\nAnswer: -14000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 1\/5, 30, 0.02, 2, -3 in increasing order.\nAnswer: -3, 0.02, 1\/5, 2, 5, 30","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 76 minutes before 2:19 AM?\nAnswer: 1:03 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 z when three letters picked without replacement from ffnzzzfz?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(-2*(1 + sqrt(832) + 1) + 1 + (sqrt(117) - (sqrt(117) + sqrt(117) + sqrt(117)*1))\/sqrt(9)*-3)**2.\nAnswer: -5236 - 240*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 1791 times 3?\nAnswer: 5373","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k = -24*k - 10*k + 38. Let y(l) = -4*l**3 - 20*l**2 + 21*l. Calculate y(k).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 4\/(-24)*-3*(9 - 3). Let r be (-2)\/(-6) + 5\/3. Solve -r = -2*z + u*z for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 64786972?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 18 + (-9 - (12 - 11))?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 13248503 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s = 7*s, -s = 2*w + 4. Let g be (w + 0)\/(6\/(-21)). Suppose f + 3*o = g*o, 0 = -3*f + 4*o + 8. Calculate the remainder when 11 is divided by f.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 257 a factor of 6120198?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 90065443?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_test"},"subset":"dm_maths"} +{"text":"Question: Let r = 1853892 - 1050371. Is r composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 99998648?\nAnswer: 2, 911, 13721","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_test"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 22881996 is divided by 29872?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = r**3 - 8*r**2 + r - 6. Let u be o(8). Suppose -5*n - t + 8 = -u*t, -2*t + 8 = 2*n. Suppose 17 = p + j, -10 = -p + n*j - 2. Is p prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-9726)\/106986)\/(2\/(8\/14)).\nAnswer: -2\/77","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -2610763 or -75712107\/29?\nAnswer: -75712107\/29","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve s = 2*n - s + 4, 0 = n + s + 8 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 5 + 2)*(0 - 3 + 2)*(3362*j**3 + 93168*j - 46586*j - 46582*j).\nAnswer: -3362*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = o**3 + 3*o**2 - 8*o + 11. Let a be z(-5). Sort a, 12, 4 in ascending order.\nAnswer: a, 4, 12","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 12360812?\nAnswer: 2, 37, 47, 1777","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -15 + 51. Suppose 6*x = 83 - 23. What is the remainder when t is divided by x?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1.4? (a) -3\/82 (b) 5 (c) -3 (d) 10.8 (e) -2\/7\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 237684 to the nearest integer?\nAnswer: 62","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) be the second derivative of 8*z**3\/3 + z**2\/2 + 14*z. Let x be 2\/2*-1 + 3. What is the remainder when k(x) is divided by 12?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0 - -1. Let f = h + 9. Suppose 4*g - f + 2 = 0. Solve -2*b - g*v + 9 = -3*b, -3*b + 3*v = 21 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j - 4 = 1. Let n = j + 7. What is the units digit of n?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b\/(b*((b*b\/b**(-1))\/b)\/b))**(-2\/3)*(b*b*b*b\/b**3*b)\/b**(-4) assuming b is positive.\nAnswer: b**(20\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2056*y = -1685*y - 1113 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.8 - -0.79. Let k = v - 0.49. What is the second biggest value in -1, k, 5\/3?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(468) + sqrt(468)*-2)*-2 + sqrt(468))\/(sqrt(300)*2 - sqrt(300)))\/(-5*sqrt(48)*-1*-2) + 2.\nAnswer: -3*sqrt(13)\/200 + 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1192823?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from zengzguzjjj. Give prob of sequence zzu.\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*-1*(sqrt(35)\/(sqrt(63)\/sqrt(9))*1 + (sqrt(5) + sqrt(500) + 4)**2 + 5).\nAnswer: 534*sqrt(5) + 3756","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 42*w + 96 = 74*w. Let d(i) = -2 - 1 + 2*i + 2 + i**2. Let n be d(w). Calculate the greatest common divisor of n and 112.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 6919, -1\/6, 8.\nAnswer: -1\/6, 8, 6919","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 522432, 522205, 521978, 521751, 521524?\nAnswer: 521297","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 468 divided by -18\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in 0.1, 1, -1\/2, -0.1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 338472548 and 410?\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -97902*i**2*k + 83460*i**2 wrt k.\nAnswer: -97902*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -42 - 11\/2*n + 1\/4*n**2.\nAnswer: (n - 28)*(n + 6)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -20698 + 0.01?\nAnswer: -20697.99","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -279187, -278738, -278289, -277840?\n\"Answer: 449*o - 279636","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -552*t**4*v + 3*t**2*v + 8592*t*v wrt t?\nAnswer: -6624*t**2*v + 6*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 194 - -382. What is the units digit of n?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) be the first derivative of 2*g**5\/25 - g**4\/2 + 16*g**3\/15 - 4*g**2\/5 + 25. Find v, given that z(v) = 0.\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify u**(-5\/8)\/(u*u**(2\/9)*u) assuming u is positive.\nAnswer: u**(-205\/72)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 14*f**2 + 75*f**3 - 111*f**3 + 45*f**3 + 5*f + 46*f**3 wrt f.\nAnswer: 330","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 2334 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 299461397 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:17 PM and 9:56 PM?\nAnswer: 39","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -747*o + 649*o - 1078 for o.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = a. Let w(s) be the third derivative of -17*s**4\/24 - 40*s**2. Give w(q(j)).\nAnswer: -17*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 10c54d + -1?\nAnswer: 10c54c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = 3*l**2 - 8*l - 8. Let c(s) = 2*s**2 - 5*s - 5. Let d(j) = -8*c(j) + 5*h(j). Let u(t) = 0*t + 0*t - 5*t + 2*t. Give d(u(k)).\nAnswer: -9*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h**1\/h)**(-4\/13)*(h**(6\/11)*h)\/h*h\/(h\/(h**(1\/3)\/h)))\/(h**(4\/3)\/(h\/(h*h**(3\/4)*h*h)*h))**(3\/22) assuming h is positive.\nAnswer: h**(-13\/24)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3362*t**3 - 869*t**3 + 1160*t**3.\nAnswer: 3653*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_test"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-140)\/(-40))\/(1\/(-2)).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -1.104 at least -2\/5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-603768)\/60 + 92\/115. Are v and -10065 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 305 + -25. Let l = 644 - m. What is the hundreds digit of l?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = -h + 14. Suppose 16 = 4*s - 16. Let b be v(s). Solve 0 = -2*t + b, -x - 5*t - 2 = -13 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6017 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: (-54)\/8*(-6680)\/2505\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 20 is divided by ((-8)\/6)\/(3 - 87\/27)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3479*s - 3494*s = -75 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let 22*k**5\/5 + 218*k**4 + 13942*k**3\/5 + 11806*k**2\/5 - 13964*k\/5 - 12896\/5 = 0. What is k?\nAnswer: -26, -248\/11, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*s + 20*s + 11*s - 1 - 12*s.\nAnswer: 25*s - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.003307 and 3?\nAnswer: -0.009921","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = 2*o - 32. Let q be v(17). Suppose -4*t - d = -149, q*t + t - 128 = -4*d. Suppose s + 20 - 6 = -n, 0 = 3*n + 5*s + t. Which is smaller: n or -16?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*l**4 + 24*l - 17*l - 11*l - 2 - l**4 + 2 + 0 + 3*l**4 + 0 + (3*l + l - 3*l)*(3*l**3 - 4*l**3 + 0*l**3).\nAnswer: 3*l**4 - 4*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 95*g**3 + 18*g - 94*g**3 + 21*g - 39*g.\nAnswer: g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 v and 1 q when four letters picked without replacement from {v: 5, q: 7}.\nAnswer: 14\/99","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -52841*x**3 - 52845*x**3 + 264218*x**3 - 52836*x**3 - 52857*x**3 - 52838*x**3.\nAnswer: x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand 396*r**3 - 2422 + 2422 + (6*r**2 - 3*r**2 - r**2 + (4*r**2 + 2*r**2 - 4*r**2)*(3 - 6 + 4))*(-3*r - r + 6*r).\nAnswer: 404*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express 39*f + 15*f**3 - 2*f**4 - 4 - 14*f**3 - 36*f in the form o + m*f**4 + y*f**3 + t*f + c*f**2 and give y.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (23 - 13) + 1 + -5 + 0.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 5 + -9. Which is the third biggest value? (a) -14 (b) 0 (c) o (d) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*d**2\/5 + 13803*d\/5 - 27594\/5.\nAnswer: -3*(d - 4599)*(d - 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -6*(-17)\/((-1326)\/(-65))?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -5833, -5804, -5809, -5854, -5945?\nAnswer: -6088","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {k: 1, t: 2, z: 1, b: 1, i: 1, v: 1}. What is prob of sequence vzt?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1 - 6) + -36 + (150 - 77).\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w*w**1)**10)**(2\/21)\/(w**6\/w*w**(2\/13)*w**(5\/4)*w**(-1\/3)\/w) assuming w is positive.\nAnswer: w**(-3457\/1092)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = o**3 - 4*o**2 + 762*o - 4650. Calculate k(6).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -3 - -3. Let a(v) = f*v + 0 - v + 8. Give a(6).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 15321320.\nAnswer: 2, 5, 7, 7817","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put together -28192 and 0.1.\nAnswer: -28191.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5596359153?\nAnswer: 3, 7, 11, 1297, 18679","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 13 + 1 - (-1303 + 1300)\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 1 - 251?\nAnswer: -250","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 0 + (10 + -4 - (16 + 1))\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-r + r - 2*r)*(42*r**2 - 2 - 77*r**2 + 4).\nAnswer: 70*r**3 - 4*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x*(x*x*x*x*x**(-2\/19)*x)\/x)**(-32) assuming x is positive.\nAnswer: x**(-2976\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -21 - 3.4. Let j = 125.5 + n. What is j rounded to the nearest ten?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = y**3 - 10*y**2 + 7*y + 20. Let m be n(9). What is the remainder when (3 + -2)*206\/m is divided by 26?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*o + 12*o - 7 = 0 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 41806 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 15630616?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = -4*r - 4. Let g(j) = 5*j + 3. Calculate -5*g(v) - 6*s(v).\nAnswer: -v + 9","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 10504 to the nearest integer?\nAnswer: 102","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s\/(s**(-4)*s))\/(s*s*s**(-4\/7)*s)*(s*s**3*s)**(2\/169))**(-50) assuming s is positive.\nAnswer: s**(-96450\/1183)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 2470801017\/182 + -13575865. Let k = -485\/13 - h. What is the common denominator of 83\/10 and k?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 8 and 2404.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = 13*n - 41. List the prime factors of l(11).\nAnswer: 2, 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = -b**3 + 10*b**2 - 10*b + 16. Let z be f(10). Let j = 88 + z. Is 2 a factor of j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 103 - 108. Let n be 20\/(-1 - x)*(4 + -3). Solve -2*v = -n*v + 15 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 111001110000 (base 2) to base 8.\nAnswer: 7160","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -10172400 divided by -2034480\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = -l**2 + 10*l - 11. Let m be o(9). Let s = 7 + m. Find d, given that 2\/9 + 2\/9*d**4 + 2\/9*d - 4\/9*d**3 - 4\/9*d**2 + 2\/9*d**s = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 c and 1 z when two letters picked without replacement from pzbozzbzzcpzhocbhb.\nAnswer: 4\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 85*u = 157*u - 519768. Solve -7217*i + u*i - 8 = 0 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*c**3 + c**3 - 3*c**3)*(c - 12*c - c) + (0 + 0 + 2*c**2)*(2*c**2 - 1 + 1).\nAnswer: -8*c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort 54, -5, -3, 3\/7 in decreasing order.\nAnswer: 54, 3\/7, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*h + 3*i - 586 = -10*h, 3*h - 4*i = 452. Calculate the greatest common factor of h and 37.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 28 + -23. Suppose 2*o + 4*u = 152, x*u - 2*u = -15. Suppose 89*p - o*p = -202500000. Round p to the nearest 1000000.\nAnswer: -68000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -6824 + 278174927\nAnswer: 278168103","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = -66*k. Let h be x(-2). Let w = h - 91. What is the units digit of w?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -41158 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = -2*h**2 + 10*h - 27. Let d be o(3). Let a = -42 - 11. Let g = d - a. What is the tens digit of g?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = o**2 + 3*o - 9139. Let i(g) = -g. Give i(n(t)).\nAnswer: -t**2 - 3*t + 9139","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 8.71 + 0.29. Let m = 9.000568 - c. What is m rounded to five decimal places?\nAnswer: 0.00057","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 31 divide 40052?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 6248.04 + -8.3493?\nAnswer: 6239.6907","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(2\/9))**(-1\/22)\/(t*t*t**(-2)\/t)**(-2\/49) assuming t is positive.\nAnswer: t**(-247\/4851)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -76 - -76. Let c = 8 + -12. Put c, 7, z in descending order.\nAnswer: 7, z, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((a**2*a)\/a)**(-3\/19)*((a**(-1\/9)\/a)\/a)\/(a\/a**(-8\/9)))**(-30) assuming a is positive.\nAnswer: a**(2460\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o - 2 = -n, o + 2 = -0*o - 5*n. Suppose o*i - 15 = -2*i. Let d be 8\/14 - (-24)\/56. Calculate the greatest common divisor of i and d.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v\/v**(-1\/5))**43)**(18\/11)*(v**(-1\/2)*v)**42\/(v**(2\/21)*v*v**(2\/9)) assuming v is positive.\nAnswer: v**(360772\/3465)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -4, 2, 19, 1\/9, -2\/315, 2\/49?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = -b**3 + 12*b**2 + 9*b + 8. Let n be l(6). Let o = 249 + n. List the prime factors of o.\nAnswer: 17, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5440739287 a multiple of 278?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -137*w + 540 = -133*w. Let c = 114 - w. Let g = c - -45. Is 24 greater than g?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 153549 = -29*b + 153114 for b.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 u and 1 c when two letters picked without replacement from {u: 4, c: 1, j: 2, f: 1}?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.39 * 25.63196.\nAnswer: -9.9964644","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 243524.3 nanometers in centimeters?\nAnswer: 0.02435243","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 47? (a) 0.13 (b) -2\/5 (c) -1\/4 (d) 18 (e) -2\/15\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put -3\/2, -11, 0, -4, 3\/2 in decreasing order.\nAnswer: 3\/2, 0, -3\/2, -4, -11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*i - 3*o - 85 = 63, 5*i + 52 - 63 - 139 = 5*o for i.\nAnswer: 29","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -27*v + 1740 - 10020 - 792. Which is greater: v or 5\/7?\nAnswer: 5\/7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -31\/2754733 equal to 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -129*x = -63*x - 58*x + 8 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 324 and 36.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*q - 4*f + 14, q = 4*q - f. What is the remainder when 75 is divided by (7\/(-2))\/q*-8 + -2?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 11 - -31?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 61266456?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (17 - 9 - 23)*(-2 + 2*n**4 + 2) to the form u*n**3 + q + h*n**4 + z*n**2 + x*n and give h.\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 14 and 961646.\nAnswer: 961646","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 30*q**3 - 6*q**3 + 3*q**2 - 3*q**2 + 7 wrt q?\nAnswer: 72*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = l - 0*l - c - 7, 4*l = 3*c + 24. Let d = 2573 + -2572. Suppose v - 3*k - 26 = 0, -v - d = 3*k + l. What is the remainder when 43 is divided by v?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 137.895156us to weeks.\nAnswer: 0.00000000022800125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 3519108 to the nearest integer?\nAnswer: 152","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = -c**3 - 10*c**2 + 21*c - 39. Let p be j(-12). Put 0.5, 24\/7, p in decreasing order.\nAnswer: 24\/7, 0.5, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -776720000 to the nearest 1000000.\nAnswer: -777000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round 123159.3 to the nearest 100.\nAnswer: 123200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -221\/72240 and -121\/7840?\nAnswer: 1011360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = -37*n + 269. Let m be r(5). Suppose 0 = -5*h - 2*h + m. Let d(t) = -t**2 + 15*t - 9. Give d(h).\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine f, given that -90*f**4\/7 - 136*f**3 + 2682*f**2\/7 - 1952*f\/7 + 312\/7 = 0.\nAnswer: -13, 2\/9, 1, 6\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 73*s**3*u**3 + 3*s**3*u - 3646*s**3 - 10*s*u**4 wrt u.\nAnswer: 438*s**3*u - 120*s*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -92430*r + 2691*r - 40948*r.\nAnswer: -130687*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 1\/5 - (-57)\/15. Let u be 3 + (1 - q) - -2. Let y = 4 - u. Solve 3*k = -c - y - 0, 2*k = c - 8 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-51)\/(-18) + 4\/24. Suppose 4*l - 618 = 2*n, -5*n - 613 = -4*l - 4*n. Suppose l + 73 = y*u. What are the prime factors of u?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 5*(0 + 20\/25). Let m(x) = -5*x**2 - 9*x - 7. Let p(c) = -6*c**2 - 9*c - 8. Let g(n) = l*p(n) - 5*m(n). Determine g(-9).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 62 divide 60949177?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 b and 1 z when two letters picked without replacement from {e: 2, z: 7, b: 2}?\nAnswer: 14\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-2656)\/747)\/(144\/(-27)).\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -18\/17? (a) 4 (b) 7 (c) 2\/13\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4*5\/(-200)*2\/2.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -5 - -116?\nAnswer: 111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = -3*u**2. Suppose -49*j = -16*j + 116*j - 298. Let t(g) be the third derivative of 0*g + 6*g**j + 0 + 0*g**3 - 2\/15*g**5 + 0*g**4. What is h(t(w))?\nAnswer: -192*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -660 + 525?\nAnswer: -135","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is -12 > -1316\/117?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-n + 8*n - n)*(6 - 2*n - 6) + (0 + n + 2*n - 1)*(-n + 3*n + 0*n).\nAnswer: -6*n**2 - 2*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 17468.5*2.589.\nAnswer: 45225.9465","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 11685 a multiple of 100?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = 3*p - 87. Let t be n(17). What is the remainder when 83 is divided by 30\/36 - 1014\/t?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((v\/((v\/((v\/(v*v*(v*v**2)\/v*v))\/v))\/v)*v)**(-15))**(20\/3))**(-6\/11))**(-23) assuming v is positive.\nAnswer: v**(41400\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = -i**2 + 4*i - 1. Let u be o(2). Let z = -10\/3 + u. Suppose l = -4*l. Which is bigger: z or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1230434 (base 5) to base 8\nAnswer: 56475","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/7 in 5\/3, 194, 1\/4, -968?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*x**3 - 415474*x**2 - 29090530*x - 509127150.\nAnswer: 2*(x - 207807)*(x + 35)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 + 6 + 5)*((t + 2 - 2)*(-1 + 2 - 4) + 0*t + t + t) + t + 3*t - t.\nAnswer: -3*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 29090 to the power of 1\/5, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 1909899 a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-4)\/8)\/((-2)\/12). Suppose -4*t = 4*f - 204, -4*f + 112 + 85 = -k*t. List the prime factors of f.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -24262901 at least -24262900?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1516\/4413 + -15\/1471. Which is the second biggest value? (a) -6 (b) o (c) 0.155\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = -1157*o. Let x(a) = -50*a + 1. What is x(k(d))?\nAnswer: 57850*d + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1 - 18 - 23 - 8)*(-2*i + 7*i + i)*(0 + 0 - 2) as y*i + j and give y.\nAnswer: 600","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ggggiigggggggigggi. Give prob of picking 4 i.\nAnswer: 1\/3060","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-2)\/5)\/(2\/(-30)). Suppose -5*j - 31 + i = 0, 381 = 4*w - j. Suppose -4*q - w = -4*d - 6*q, -3*d + 3*q = -66. Does 12 divide d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = -10*d + 4. Let o(g) = 26129*g**2. Calculate w(o(q)).\nAnswer: -261290*q**2 + 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -110113000 rounded to the nearest one million?\nAnswer: -110000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 407602.55442 + -199.1\nAnswer: 407403.45442","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify t**(-1\/2)\/(t*t*t**3*t)*t*t**8*t*t**(-1\/8) assuming t is positive.\nAnswer: t**(27\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert -121013 (base 6) to base 9.\nAnswer: -15470","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 109172 + 61*d - 109172.\nAnswer: 61*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -d - 3*w + 11 = 0, 5*d - 5*w + 41 = d for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j\/j**(2\/23))\/(j*j\/(j*j*j*j\/(j\/(j**11*j*j)))*j)*(j*j**(1\/2)*j)**50 assuming j is positive.\nAnswer: j**(3195\/23)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = -2*b - 7. Suppose 0 = -3*r - 19 + 4. Let t be x(r). Suppose t*l - 262 = -p - 4*p, 5*l = p + 390. Is l a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-4)\/(-6)*45\/240 - 8712\/64. Is h >= -682\/5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -41 + 44?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(252) + 0 - sqrt(252))*6*-5)**2.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -20693529 times 0.3\nAnswer: -6208058.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1171215*0.2.\nAnswer: 234243","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) be the first derivative of 6*d**2 + 0*d**5 + 0*d**4 + 0*d + 0*d**3 + 13 - 2\/3*d**6. What is the second derivative of a(j) wrt j?\nAnswer: -80*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -q**4 + 2*q**4 + 0*q**4 - 5*q**2 + q**2 - q**4 - q**2 + (q + 4*q - 3*q)*(0*q**3 + q**3 - 3*q**3) - q**4 - 3*q**4 + 2*q**4 + q - q - q**4.\nAnswer: -7*q**4 - 5*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 7 - (3 - 2) - (4 - -26) - -2?\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = -z**2 - 7. Let q be d(0). Let j = -4 - -29. Let x = j + q. Calculate the highest common divisor of 45 and x.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1908267 and 9159?\nAnswer: 82055481","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*n - 47*i = -52*i + 27, -5*n + 19 = 4*i for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l + 3*l - 12 = 0. Suppose -u - 4*u = -t - 21, l*t = -3*u + 9. Let i = -919 + 941. What is the lowest common multiple of i and u?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 506881?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = -30*j**2 + 59*j**2 - 30*j**2. Let f(m) be the third derivative of 0*m**4 - m**2 - 7\/30*m**5 + 0*m + 0 + 0*m**3. Determine b(f(d)).\nAnswer: -196*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = -17*n**3 - n**2. Let z be t(-1). Suppose z = -3*v - 5*x, -22 = -4*v - 0*v + 2*x. Suppose 0 = -m + v*m. Solve m = 4*q - 8 - 8 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence iid when three letters picked without replacement from iiiiidiiiiiii.\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5269339 is divided by 6595?\nAnswer: 6529","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/5? (a) -10.6 (b) 1 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round -162 to the nearest 10.\nAnswer: -160","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((n\/(n*n*n\/(n\/(n*(n\/(n\/(n**(-2\/9)\/n)))\/n))))\/(n**(-4)\/n*n))**(-4\/13))**24 assuming n is positive.\nAnswer: n**(-1216\/39)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(60)*3 + sqrt(60))\/sqrt(6) - 4*sqrt(90))\/((-2*sqrt(3645) - sqrt(3645))*-1))**2.\nAnswer: 128\/6561","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 520 + -321. What is the units digit of p*(2 - 0\/8)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1.2212 + -1.15993. What is c rounded to 3 dps?\nAnswer: 0.061","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d = -5*d + 21. Suppose 2*b = -b + 18. Suppose 0 = b*c - c - 10. Calculate the smallest common multiple of c and d.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -1e - c8635?\nAnswer: -c8654","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 765?\nAnswer: 3, 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*k - 5*k + 825. Suppose 7*t = -t + 656. Let n = t + -32. Calculate the greatest common divisor of n and k.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11231*i = 11034*i. Determine x so that 3\/4*x**3 + 0*x + 0 + i*x**2 = 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = 710000 + 4*q + 10*q - 17*q. Let d be u(0). Round d to the nearest one hundred thousand.\nAnswer: 700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 + 10 - 3 + 0*n + 4*n.\nAnswer: 4*n + 8","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.04 + 16.54. Let j = p + -17. Which is the nearest to -0.1? (a) -2\/11 (b) j (c) 1\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 7 + (-1 - 2) + 6 + -6\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*o + 2*t - 39, -o - 3*o - 20 = 4*t for o.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((n*n\/(n*n**(1\/6)))\/n)\/n)\/(n\/n**10))\/(n**(-3\/8)*n*(n*n**(13\/4))\/n) assuming n is positive.\nAnswer: n**(95\/24)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1489 by -781841.\nAnswer: -1489\/781841","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 13 in 0, 2\/261, 0.5, -1.2?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000015584 rounded to 7 dps?\nAnswer: -0.0000016","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7819423 is divided by 9221?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -0.4 (b) -7 (c) -0.01 (d) 0.4 (e) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y - y - 16 = -3*b, -10 = -5*b. Let j be (314 - (-4)\/y)*1. Suppose 0 = c - j + 21. Is c prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -606 + 1483. What is the units digit of v?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = 7*b**2 - 641*b - 1954. Give t(95).\nAnswer: 326","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -18*y**3 - 22*y**3 + 66*y**3 - 25*y**3.\nAnswer: y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put -45, 0, 586, -0.145 in descending order.\nAnswer: 586, 0, -0.145, -45","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*g**3 + g**2 - g**2)*(-883 + 317 + 425).\nAnswer: -282*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let -9*f**3 + 65081*f**2 + 94696732*f - 21046932 = 0. Calculate f.\nAnswer: -1242, 2\/9, 8473","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + ((5*(3 + (sqrt(1216) - (sqrt(1216) - (sqrt(1216) + -1))) + 4))**2 + 3)*6.\nAnswer: 14400*sqrt(19) + 187818","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6986689 is divided by 597.\nAnswer: 595","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) be the first derivative of a**2 - 124. Let f(o) be the third derivative of -17*o**5\/60 - o**2. Give p(f(l)).\nAnswer: -34*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = -5*i, 0 = -5*w + 2*i - 17 + 38. Solve w*s + 1 + 9 = 0 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = -5*y - 4 - 4*y**2 + y + 10*y**2 + y**3 - y. Let t = -16 - -10. Is b(t) a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -666*m**3 + m + 11*m**2 - 153*m**2 - 2*m + 142*m**2.\nAnswer: -666*m**3 - m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*l + 4*u = 8*u - 3*u - 196, 2*l - 140 = -10*u for l.\nAnswer: 65","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -9943, -10384, -10825, -11266, -11707?\n\"Answer: -441*f - 9502","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor 30*b**3 + 65*b**2 - 230*b - 40.\nAnswer: 5*(b - 2)*(b + 4)*(6*b + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 672\/(-96)*(58\/(-8))\/((-49)\/28).\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -48 + 39. Let h be ((-14352)\/(-54))\/1 - 2\/z. Suppose -36 + h = m. What is the tens digit of m?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 21 a factor of 23898?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = b**2 - 2*b + 5. Let r be h(5). Suppose 5*g - r = 60. Calculate the remainder when 46 is divided by g.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -83 = -h + 3*h - 5*u, 2*h + 65 = -u. Let s be (-368)\/(-816) - (-4)\/h. Let r = -3.6 + 0.6. Is r less than or equal to s?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 0.6559859 millennia?\nAnswer: 6.559859","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -5 + 8. Let k be 10\/y + (-1)\/3. Suppose -5*z - 2*a = -66, 0*z - k*z = -3*a - 27. What is the tens digit of z?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 85300 rounded to the nearest 1000?\nAnswer: 85000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -342*p + 27294 = 452*p - 620*p + 6240 for p.\nAnswer: 121","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 4*(2 - 7\/3). Let l = 480 + -546.5. Let f = 68.5 + l. Which is the third smallest value? (a) -4 (b) -0.3 (c) f (d) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (1 + 9\/(-2))*4. Let z = -14 - a. Solve -m + z*m = -3*o, 2*m = 2*o for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = 6*o. Let g(z) = -5*z. Suppose 2*f - 5*r - 16 = 0, 4 - 3 = -3*f - 5*r. Calculate f*h(c) + 4*g(c).\nAnswer: -2*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 1599 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19 = 4*w + 2*g - 19, 0 = -w + 2*g - 3. Let 10*j**3 + w*j**2 + 4 - 24*j**3 + 18*j**2 + 7*j**2 - 22*j = 0. What is j?\nAnswer: 2\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 119 + 7?\nAnswer: 125","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*u + 0*u - 2 - 2*u + (-3*u + 0*u - u)*(-1 + 4 + 1).\nAnswer: -18*u - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify w**(-1\/24)\/(w**(5\/3)*w) assuming w is positive.\nAnswer: w**(-65\/24)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = k**2 + 8*k + 10. Let m be c(-6). Suppose 6*b - 9 = 3*b. Let i be (-16)\/b + (11 - 8). Is i greater than m?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 557197 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1185, -1186, -1187?\nAnswer: -1188","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -115386, -230783, -346180, -461577, -576974, -692371?\nAnswer: -807768","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = 6*f + 28. Let d be x(-10). Let c = 37 + d. Suppose c*t - 762 = 3*t. Is t a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10573524 a multiple of 612?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 11 - 6 - (-78)\/24.\nAnswer: 33\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*h - 21 = -61. Suppose -q = -3*r - 19, 2*q + h*r + 16 = 4. Solve 4 = -q*g + 5*v, -4*g - 6 = v - 2 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -0.05, -2\/7, -0.4, 66, -7?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 430 minutes after 6:23 AM?\nAnswer: 1:33 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 260 and 7956?\nAnswer: 39780","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-180)\/3762)\/(795\/(-583)).\nAnswer: 2\/57","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of -23*((-3)\/((-27)\/12))\/((-2)\/339)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 74\/5 of a centimeter in millimeters?\nAnswer: 148","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 19 and 11?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = -n**3 - 8*n**2 + 132*n + 51. Let r be j(-16). Let y(c) = -c**3 - 13*c**2 + c + 6. Give y(r).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = 822*r**2 - 767*r + 14. Let l(h) = -1232*h**2 + 1150*h - 20. Let g(y) = 5*l(y) + 7*s(y). Find the second derivative of g(j) wrt j.\nAnswer: -812","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -5410 in -2, 2\/7, 5?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = 17201*b**2 - 1. Let w be u(1). Round w to the nearest 1000.\nAnswer: 17000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5129386.\nAnswer: 2, 67, 101, 379","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -720*d**4*s + 5*d**3*s**3 + 71*d**2*s**3 + d**2*s + 10*d**2 - 1 wrt d?\nAnswer: -17280*d*s + 30*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(20) - sqrt(180))\/sqrt(5))\/sqrt(2).\nAnswer: -2*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -5, -1.79, -3, 5\/2?\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*z = -86 + 94 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:30 PM and 8:40 PM?\nAnswer: 130","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u*u\/(u*u*u**(1\/2)))\/(u*u**(-5)))**11*u**(2\/3)*u**0*u**6*u**(-2\/7)*u assuming u is positive.\nAnswer: u**(1927\/42)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -16 + -1. Let s = -31 - p. Let l = 13.1 + s. Which is smaller: 2 or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 94812 is divided by 9.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-3)\/39)\/(28\/(-56))?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -3217, -6660, -10103?\nAnswer: -13546","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = -1 - 70*p**2 + 105*p**2 - 11*p - 34*p**2. What is o(10)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a + 6 = -0. Let w be 1\/3 - 210\/(-18). Suppose a*v = 2*v + 5*c + w, -3*v + 4 = -5*c. List the prime factors of v.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6552520 is divided by 156001.\nAnswer: 478","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0370189895 rounded to 3 dps?\nAnswer: -0.037","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = -64*x + 464. Let t be q(7). Let b(p) = -p**2 + 21*p - 81. Give b(t).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -67524, -67523, -67522, -67521, -67520?\nAnswer: -67519","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w = -4*w - 10. Let c be (-1 + 24)*(0 + w). Let h = 412 - c. Is h prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 4*m**2 - 3*m + 571 - 571 wrt m.\nAnswer: 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -2, -0.01, 5?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 6191552129 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (14 - 19)*(-2)\/2. Suppose b*s + 22 - 42 = 0. Solve 4*y - 4 = -3*u, y + s*y + 3*u = 8 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -4 (b) 1 (c) 19 (d) -0.4 (e) -2\/9\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 597*n - 623*n = -416. Solve 0 = -n*u - 12*u + 21*u for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 2\/91, -4, -0.2?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = k**2 + 65*k - 3146. Let b be h(-95). Do b and 2.4 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-48 - (43 + -64)) + (-2 - 12) + (11 - -1).\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4926067.\nAnswer: 1861, 2647","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l = -l + 4. Let c be (4 - (-1 - -3)) + l. Suppose -j = 3*k - k - 19, -29 = -c*k + j. What are the prime factors of k?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 2884 and 591941.\nAnswer: 721","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express 24 - 15 + 260*d - 640*d - 9 in the form k + c*d and give c.\nAnswer: -380","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -28*k + 15*k - 83*k**2 - 82*k wrt k?\nAnswer: -166","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -2 + 4. Find the third derivative of -5*w**p + 3*w**3 + 3*w**4 - 3*w**3 + 4*w**2 wrt w.\nAnswer: 72*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -3 * -137.\nAnswer: 411","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = 7*l - 3. Let i be r(3). Suppose -5*p - 14 = 3*b, i = -5*b - 2*p - p. Let s = 2 - 4. Which is greater: b or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 26403380 to the power of 1\/2, to the nearest integer?\nAnswer: 5138","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -104, -438, -1000, -1790, -2808, -4054, -5528?\nAnswer: -7230","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 413417420 divided by 20\nAnswer: 20670871","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 222\/18 - 2\/6.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -14 - -19 - (-1 - -2)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*w**3 - 288*w**2 + 560*w.\nAnswer: 4*w*(w - 70)*(w - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) be the first derivative of -t**3\/3 + 249. Let g(r) = -5*r**2 + 2. Give g(u(d)).\nAnswer: -5*d**4 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 3690 and 793710?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wfj when three letters picked without replacement from {e: 2, w: 1, f: 2, r: 1, j: 3, c: 3}.\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor -p**2\/3 - 541840460*p\/3 - 73397771023252900\/3.\nAnswer: -(p + 270920230)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 499 + -927. Let l be (-4)\/(-1 - d\/436). What is the greatest common factor of 2 and l?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 31 - 78?\nAnswer: -47","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 9722, 18671, 27622, 36575, 45530, 54487?\n\"Answer: l**2 + 8946*l + 775","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = 148*x - 46. Let c(i) = 3*i**2. Give c(p(z)).\nAnswer: 65712*z**2 - 40848*z + 6348","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in fourty-four fifths of a decade?\nAnswer: 1056","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -1 + -4 - -2*(-153)\/(-34). Solve -5*k = 3*q + q - 30, y*k - 3 = q for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -3 and -7947292.9?\nAnswer: 23841878.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y - o + 32805 = -34728, -2*y = 2*o - 45022. Is y a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 42807623 is divided by 177.\nAnswer: 173","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 289470533379 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 62 - 62.0114. What is g rounded to three decimal places?\nAnswer: -0.011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v + 69 = t - 5*t, -4*t - 92 = 4*v. Let n = v - -25. Suppose n*b + 52 = -2*b. Let u(a) = -7*a**2. Let p(w) = -3*w**2. Calculate b*p(s) + 6*u(s).\nAnswer: -3*s**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (0 - -1) + 2 + 1. Suppose u - 20 + 0 = -d*g, -4*g + 2*u = -8. Let b be (16\/(-6))\/((-6)\/63). Calculate the greatest common factor of g and b.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand r**5 + 2*r**5 + 0*r**5 + (r**4 + 0 + 0)*(-r + 4*r - 2*r) - r**4 + r**4 - 2*r**5 + (-1 - r + 1)*(-6*r - 6*r**4 + 6*r).\nAnswer: 8*r**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-93)\/15 - 1\/(-5). Let v(q) = 31944*q**3 - 2*q**2 + 3*q - 6. Let f be v(m). What is f rounded to the nearest 1000000?\nAnswer: -7000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j - 555 = -2*j - 4*q, -5*j = -5*q - 510. Suppose j + 21 = 4*a. Let l = a - -28. What is the greatest common factor of l and 15?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.65 - -4.95. Let x = 0.6 - y. Let m = -26 - -51\/2. What is the third biggest value in x, 5, m?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 128395 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1*6\/4)\/(7\/(-14)).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = -w - 1. Let f be k(-2). Let c = f - -2. Let s(g) = 4*g**2 - 2*g + 2. Let j be s(c). Calculate the greatest common divisor of j and 48.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*z + 5*l + 12, -l - 3 = -0. Let v(y) be the first derivative of 1\/2*y**2 - 2 + y. Give v(z).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 55 and 165.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/117423023 at most as big as 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*v**2 - 4*v**2 + v**2)*(1 - 4 + 5) + (-1 + 3 - 4)*(-4*v**2 + 0*v**2 + 3*v**2) + 223 + 33*v**2 - 223.\nAnswer: 39*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = -60*p + 4. Let n be (3 + 0 + -4)\/(3\/3). What is the remainder when a(n) is divided by 21 - (2\/2 - 2)?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 32, 23, 14?\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 125 is divided by 34.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.678 and -192.\nAnswer: -130.176","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -759, -736, 139, 1866, 4445?\n\"Answer: 426*s**2 - 1255*s + 70","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*h + 3*u + 7 = h, -2*h + u = -6. What is the remainder when 15 is divided by (8\/1 - 4) + (h - 1)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = -147*x + 11. Give v(0).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4*i**2 + 6*i**2 + 0*i**2)*((0*i**2 + 4*i**2 - 3*i**2)*(-12 + 48 + 11) + 2*i**2 + 7*i**2 - 3*i**2) as r*i**3 + u*i**2 + z*i**4 + h*i + o and give z.\nAnswer: 106","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.45 - 5.45. Which is the closest to -3? (a) 2 (b) p (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1488\/32*(3\/1)\/(2\/((-20)\/(-45)))?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1564450 + 904450. What is o rounded to the nearest 100000?\nAnswer: -700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = -5*v + 7. Let p(f) = 2*f - 2. Determine 3*i(q) + 5*p(q).\nAnswer: -5*q + 11","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -49.8 - -50. What is the closest to 0.1 in -0.4, t, -41?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 8\/14*49\/14. Suppose 5*j = 2*g + f*j - 28, 0 = 5*g - 3*j - 70. Suppose 1685 = -9*c + g*c. Is c composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 102837, 102811, 102783, 102753, 102721?\nAnswer: 102687","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-6)\/8 - (1 - 1). Which is the second biggest value? (a) v (b) 2\/11 (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 + 4 = -5*m. Let f be 20200\/(-32) + 40\/32. Let u = -636 - f. Sort m, u, 0 in decreasing order.\nAnswer: 0, m, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.4 - 0.5. Let z = n - 0.9. What is the closest to -1 in z, -2, 3?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4 - -18 - (68 - 64)) + 6?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -19.8 - -18.8. What is the second biggest value in -46, -0.3, h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 859418647 to the power of 1\/10, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 r, 1 d, and 2 u when four letters picked without replacement from urfrdrrrrudrrrrr?\nAnswer: 11\/910","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*m - 5*m + 3 = -5*x, -x + 3 = 2*m. What is the third biggest value in 2\/9, x, 1.6, -0.03?\nAnswer: -0.03","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -5*h**3 + 1389676*h**2*k**2 - 141849*h*k**2 - 15*h*k wrt h.\nAnswer: -30*h + 2779352*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is (-7)\/2*(352\/(-56))\/11?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 96266915 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = -q**2 + q + 3. Give f(-2).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does 68 divide 61255?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = 3202*p + 19263. Give d(-6).\nAnswer: 51","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 244*j - 2494629 = -2483405 for j.\nAnswer: 46","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(12) - 4*(-2*sqrt(12))**2.\nAnswer: -192 + 2*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 22 to the power of 1\/5, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 17*n + 0*n + 19*n.\nAnswer: 36*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 4 + 1)*(-1 - w**2 + 1) + 61 - 32 - 30 + w - 3*w**2.\nAnswer: -2*w**2 + w - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 881 = -8*l + 1001. Solve l*d = 40 + 35 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -21946 and 2.\nAnswer: -21944","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = -p**2 - p - 1. Let n = -3 + 14. Let k(c) = -4*c**2 + 3*c**2 + 0*c + 5*c - c**3 + n. Let r(u) = -k(u) - 5*w(u). Calculate r(-6).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 25.5351 to zero dps.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -241 + 1034 = 13*z. What is the nearest to -0.1 in -0.3, 0.4, z?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does -41 = -43?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + (4 + sqrt(539)*-2 - sqrt(539) - -1*-1*sqrt(539)) + -4 + 5)**2.\nAnswer: -560*sqrt(11) + 8724","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -7 + 8. Let d be a\/(3\/3) + 3. Solve d = -0*y + 4*y for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 5 in 2, -1\/4, 2\/5, 5588, -2\/11?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 235624 is divided by 346.\nAnswer: 344","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*r**2 - r**2 + r**2)*(0*r**2 + 2*r**2 + 0*r**2) + (-4 - 1 + 0)*(2*r**2 + r**4 - 2*r**2).\nAnswer: -9*r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*k*l**2 - 726*k*l + 2*k + 59*l**2 wrt l.\nAnswer: 4*k + 118","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -209.9157 rounded to 0 dps?\nAnswer: -210","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8 + 4399*w - 5760*w + 1338*w.\nAnswer: -23*w + 8","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-72)\/(-60))\/(12\/(-44360)). Let c = -2829 - f. List the prime factors of c.\nAnswer: 1607","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = 25*k - 3. Let r be -6*(-2)\/(-12)*-11. Let d(w) = 99*w - 11. Let n(c) = r*v(c) - 3*d(c). Let g(a) = 3*a - 2*a + 0*a. Determine g(n(t)).\nAnswer: -22*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 293739233?\nAnswer: 23, 12771271","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Do -16\/13 and 0.1 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is -33590800 bigger than -33590800?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express 10*c**3 - 3*c**3 + 1 + 15*c**3 + c**3 - 6*c**3 as h*c**2 + p*c + s*c**3 + i and give i.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 9\/(-6)*88\/(-231)\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3116292?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 734591797 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_test"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -263 - 7*h**2 + 263.\nAnswer: -7*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 10630, 12658, 16036, 20764, 26842, 34270, 43048?\n\"Answer: 675*w**2 + 3*w + 9952","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -0.2, -0.5, 128595, -3\/20?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 198522815 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 6183895273 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from vbpnovc. What is prob of sequence ncpc?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 0 - ((-16)\/2 - -2). Suppose w = 2*v - 32. Calculate the remainder when v is divided by 9 - (-2 + 0 + 1).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from sukwyvkvvkkvsw. Give prob of picking 1 v and 1 u.\nAnswer: 4\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = 148*z**2 - 59*z - 136. What is the units digit of f(-11)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = p - 12. Let y be r(11). Let k = 8.04204 - 0.04204. Which is the nearest to y? (a) 5 (b) -0.3 (c) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 227692741?\nAnswer: 59, 311, 12409","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u + u = 15. Let m be -1*3\/1 + u. Let t be ((-12)\/2)\/((-6)\/4). Solve t*k - 5 = 3*z + 19, 4*z + 4*k + 4 = m for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 724751012?\nAnswer: 2, 11369, 15937","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-82 + 62 - 46)*((11 - 29 - 18)*(2 + 2 - 2) - 1 + 1 + 2 + 1 + 0 + 1 + 4 - 5 + 3 + (3 + 1 - 3)*(0 - 1 - 1) + 5 - 3 - 1)*(-2*s - 4*s + 3*s).\nAnswer: -13266*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -3150 and 0.006?\nAnswer: 3150.006","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g\/(g*(g\/(g*g**(-1\/5)))\/g))**(-36) assuming g is positive.\nAnswer: g**(-144\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 19 + -22. Let o be r + (-1 - (-1 - 1)). What is the smallest value in o, 0.4, 0.1?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 2860 or 2902?\nAnswer: 2902","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = 45*w**2 - 12*w + 4. Let n(c) = 1258*c**2 - 333*c + 111. Calculate 4*n(q) - 111*z(q).\nAnswer: 37*q**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 7955\/61567 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 1542*x**2 + 159626*x.\nAnswer: 3084","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = 4*q + 314. Let m be t(-18). What is the highest common factor of 396 and m?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -462644 divided by 35588\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 65 + (-150 - -58) + (30 - -1)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 151980 is divided by 13775.\nAnswer: 455","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 457 minutes before 6:17 PM?\nAnswer: 10:40 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -58 + (-19 - -42) - -16.\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = -2*r**2 + 1 + 0*r**2 + 0 - 5*r. Let i(z) = 5*z**2 + 11*z - 2. Suppose 4*b + 18 - 2 = 0. Determine b*i(n) - 9*w(n).\nAnswer: -2*n**2 + n - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -2101112021 + 11?\nAnswer: -2101112010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -h**6 - 149*h**3 - 49*h**2 - 2.\nAnswer: -120*h**3 - 894","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*((sqrt(1300) - (1 + sqrt(1300))) + -3)**2 + -6*(-2 + (sqrt(1300) + (sqrt(1300) - (sqrt(1300) + -1)))**2).\nAnswer: -7890 - 120*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 52351861*g - 26175982*g - 26175877*g.\nAnswer: 2*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) be the first derivative of 2*n**3\/3 + 5*n**2\/2 + n - 1. Let j = 11 - 8. Let b(h) = -5*h + h**2 - j*h**2 - 1 + 0*h + h. What is 3*b(c) + 2*g(c)?\nAnswer: -2*c**2 - 2*c - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -1 + -4 + 6 - -2. Suppose -40 = -t*l - 5*k, 3*l + 4*k - 3*k = 20. Solve l*m - m - u + 9 = 0, 7 = -3*m + u for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -4850\/1593 and -3 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6005*z**3 + 3441*z**3 - 1288*z**3.\nAnswer: 8158*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 8 - (-7)\/(-56)*8?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 + 8 + -3 + 0 + 0.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -17.90112082 rounded to one dp?\nAnswer: -17.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 2*p + 0)*(3 - 3 + 2*p**2)*(-7 + 10 - 23).\nAnswer: -80*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6985225.\nAnswer: 5, 13, 21493","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in -0.0171, -4, 0.07, -9, -0.037, 1, -3?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7 = 3*o - 2*k, 3*o - 2*k + k - 2 = 0 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -72724*m**3 + 72722*m**3 - 69*m - 75*m + 144*m.\nAnswer: -2*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 60872?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(33) + sqrt(363)\/sqrt(11)*6 - sqrt(33))\/sqrt(11).\nAnswer: 6*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) 6847 (b) 2\/15 (c) 133\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -69*f + 379 - 1642 = 255 for f.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.6 - 4.6. Let p = 3\/107 - -413\/535. What is the nearest to -0.1 in p, 3, h?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -16891 - -16936. Suppose 0 = t + 5*b - 57 - 7, 0 = t + 2*b - 79. Calculate the remainder when t is divided by k.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -211 + 214. Put m, 1, -2, 2 in decreasing order.\nAnswer: m, 2, 1, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*c + 9 = -2*c. Let t be ((-2)\/(-1))\/6 + 0. What is the smallest value in t, -0.3, c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = -6*r + 7. Let b(u) = -856*u - 23. Calculate -b(a) - 3*i(a).\nAnswer: 874*a + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c + 462 = -498. Let y = c - -271. Calculate the common denominator of (-2 - -1)*y\/(-22) and 89\/4.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 543.\nAnswer: 3, 181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 156 (b) 4 (c) 2.6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x - 8 = -0*g + 4*g, -5*x + 12 = -4*g. Suppose -3*l - 36 = 6*l. Let r be (-3*(-13)\/18)\/(g\/l). Which is bigger: -5 or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 7164251?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) be the first derivative of x**3\/3 + x**2 + 2*x - 2. Suppose 3*u + 10 = -14. What is the remainder when z(u) is divided by 13?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1250*p = -16383 - 17367 for p.\nAnswer: -27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = i**2 - 3*i - 5. Let g be t(-5). Let r = -194 - -201. Calculate the greatest common divisor of r and g.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 + (-4 - 2) + 3 + -2 + 8?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {c: 9, l: 3, g: 3, e: 1, o: 2}. Give prob of picking 1 l, 1 o, and 1 g.\nAnswer: 3\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put together 0.2 and 0.1400888.\nAnswer: 0.3400888","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v*v**(-31)*v)\/v*v**(-19)*((v\/(v\/((v\/v**(7\/2))\/v)))\/v)\/(v*v\/(v*v**(-20))) assuming v is positive.\nAnswer: v**(-149\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1903486222?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 1 (b) 735 (c) 4 (d) 37\/8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(121) - 2*sqrt(121)*4 - sqrt(121) - -1*(sqrt(121) - -1*sqrt(121)))\/(1*-2*sqrt(275)).\nAnswer: 3*sqrt(11)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 13197659 to the power of 1\/5, to the nearest integer?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in -4\/9, 0, -3\/13?\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 10 - 7. Let k = -11 - -17. Let i = k - 6.4. Sort t, i, -0.5.\nAnswer: -0.5, i, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1 - -2) + 24 + -24.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -5, 0.5, -0.0648086, 0.6?\nAnswer: 0.6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2169531295?\nAnswer: 5, 433906259","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -9*5\/(-315)*1. Suppose -2*t + 11 = 1. Suppose l - t = -4*l. Which is smaller: v or l?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 103 a factor of 82855?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8*q + 8*q - 2*q + 5*q - 7*q.\nAnswer: -4*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -17 and -29.423?\nAnswer: 500.191","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is fifty-five halves of a century in months?\nAnswer: 33000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 3\/4, -3, 0.3, -4\/5 in descending order.\nAnswer: 3\/4, 0.3, -4\/5, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5212995.\nAnswer: 3, 5, 347533","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in -11.2, -2, -35, 2, -1.2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 11 (base 8) to base 15\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -4142453 (base 6) in base 10?\nAnswer: -200193","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find r, given that 26*r**4 + 56788*r**3 + 411837402*r**2\/13 + 9495310496*r\/13 + 17349171928\/13 = 0.\nAnswer: -14041\/13, -22, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 - (-2 + -6 + 1 + (5 - -1))?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.1318879 to 3 decimal places.\nAnswer: 0.132","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*b + 2*n = 54, 5*n - 777 = 4*b - 666 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*q - 66 = 11. Solve 10*x = 12*x + 3*k + q, 5*x = 4*k - 29 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 58 divide 19953441?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = d - 3. Suppose -d = 4*h - 17. Suppose -1885*z - 469 = 464*z - 2818. Calculate the greatest common factor of h and z.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 23 - 21. Let z = 6 - 8. Let w = j - z. What is the units digit of w?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(525)*2 + sqrt(21) + (-4*sqrt(21) + sqrt(21))*1)\/(((sqrt(35) - (sqrt(315) - sqrt(35)))*-6)\/(5*sqrt(80))).\nAnswer: 80*sqrt(3)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 62239919 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (4 - 4 - t)*(1 + 1 + 229*t - 144*t) to s*t + h + b*t**2 and give b.\nAnswer: -85","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 531 is divided by 13?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express -17 - 14*k**3 + 3*k**2 - 2*k**4 + 24 + 2*k - 9 in the form d*k**3 + o*k**2 + u + g*k**4 + a*k and give g.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = -4*g + 6. Let r = -38 + 47. Let s(p) = p + r - 6 - 3*p. Let f(j) = -j**3 + 16*j**2 + 17*j - 5. Let x be f(17). Calculate x*s(i) + 3*w(i).\nAnswer: -2*i + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = -4 + 0 + 4 - 7*b. Let s(a) = -27*a. Let f(n) = 15*j(n) - 4*s(n). Let h(z) = z**2. Determine h(f(l)).\nAnswer: 9*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) be the third derivative of m**4\/3 + 21*m**2 + 2*m. Let z(p) = 5*p. Determine c(z(j)).\nAnswer: 40*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00013079 to 6 decimal places.\nAnswer: 0.000131","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*k - 18 + 28 + 6*k + (-18 + 36 - 10)*(2*k - 6*k + 2*k).\nAnswer: -13*k + 10","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 591130 and 16160?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(36)\/(sqrt(30)\/sqrt(5)))\/(sqrt(72)*3).\nAnswer: sqrt(3)\/18","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 37 a factor of 186850?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -146214289.2 rounded to the nearest 100000?\nAnswer: -146200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = -w**2 - 1. Let h(t) = -t**2 + 8*t + 5. Let s(g) = -h(g) + 2*n(g). Let x be s(-6). Let i(y) = y**2 + 4*y - 2. What is the units digit of i(x)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -8 + -730?\nAnswer: -738","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert 26537 (base 10) to base 5.\nAnswer: 1322122","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1 - -1.1. Let g(d) = 35*d**2 + 122*d - 2. Let v be g(-4). Which is greater: i or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 665 minutes before 12:07 PM?\nAnswer: 1:02 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i = -15, -i + 9 = -g - g. Let x be (-1 + (-94)\/(-90))\/(g\/(-10)). Let o = -1.8 + 1.5. What is the smallest value in -0.2, o, x?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y - 5*b + 54 = -6*b, 0 = -5*y + 2*b + 282. Suppose 4*a - y = -10. Calculate the remainder when 22 is divided by a.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1*((-2 - 7) + 7)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = p**3 + 11*p**2 - 482*p - 144. What is r(-28)?\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = -i**3 + 234*i**2 - 6*i - 79. Give d(0).\nAnswer: -79","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k + 2*z + 6 = 3*k, 0 = -4*k + 5*z - 2. Find f such that 2\/3*f - 2\/3*f**3 - 2\/3*f**4 + 0 + 2\/3*f**k = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((22 - 23) + 42 - (2 + -6 - 6)) + -8?\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express 17*d**4 + d**3 + 13669 - 16*d**4 - 13667 + 2*d**2 as t*d**3 + s*d + l + o*d**2 + n*d**4 and give l.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -37726 - 62810 = -213*l. What is the lowest common multiple of 1298 and l?\nAnswer: 5192","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -104020 (base 5) to base 13\nAnswer: -1868","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 3577 and 70?\nAnswer: 35770","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*i**3 - 13*i + 35*i + 2*i**2 - 18*i in the form n*i + b*i**2 + a*i**3 + s and give n.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-2 - -3) + 1\/1. What are the prime factors of (14 - (1 + 2)) + t?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 508789 or 508788?\nAnswer: 508788","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is thirty-four fifths of a milligram in micrograms?\nAnswer: 6800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*y - 39 = -n + 4*y, 2*y + 8 = 0. Suppose 129 = 2*f + n. Let b = 46 - f. What is the units digit of b?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((4 - 4 + u)*(-31 + 10*u + 31) - u**2 + 0*u + 0*u)*(-4*u**3 + u**3 + 0*u**3 + (-6 + 3 + 2)*(u**2 - u**2 - u**3) + 3 - 3 - u**3).\nAnswer: -27*u**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = -63 + 3*v + 26 - 11*v + 37. Let s(o) = 16*o**2. Calculate s(i(n)).\nAnswer: 1024*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -42, -5, 82, 243, 502, 883, 1410?\nAnswer: 2107","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = z**3 - 4*z**2 - z + 6. Let c be v(4). Suppose x - 46 = -b + 201, 3*b = -c*x + 738. Does 42 divide b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -2184*c**2 + 82990*c + 76 = 0. What is c?\nAnswer: -1\/1092, 38","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 205*v - 13182 = -92*v - 41*v. What is the least common multiple of 4881 and v?\nAnswer: 63453","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(-9\/4))**(2\/31)\/((y\/(y**(1\/3)*y))\/y**(2\/13)) assuming y is positive.\nAnswer: y**(827\/2418)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -j - 0*j. Let l = j + 1. Let v be l\/((-3)\/(0 + 9)). Let g(u) = -u. Calculate g(v).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*o + 10*o + 13*o.\nAnswer: 19*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = f - 1 + 3 + 1. Calculate the least common multiple of c(7) and 9.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -7\/5 (b) 10 (c) -1\/4 (d) -0.1 (e) -0.04\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 83 + -46. List the prime factors of s.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2*b**3*c*n**3 + 9*b**3*n - 389*b**3 + 72*b**2*c*n**3 - b**2*c - 3*b**2*n**2 + 7*c wrt b?\nAnswer: -12*c*n**3 + 54*n - 2334","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h - 2497139 = 2*k - 257143, 2*k + 3*h = -2239997. Round k to the nearest one hundred thousand.\nAnswer: -1100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + 2*(6*1*sqrt(187) - (sqrt(187) - sqrt(187)*1*6 - sqrt(187)))\/(4*sqrt(44)*3).\nAnswer: sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 153 - 733 = 145*n for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 27 and 2.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-2)\/7 - (-64)\/28. Let i = 7 - z. Let f(s) = -3*s - 3*s + 4 + i*s. Give f(-4).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 894 and 0.2?\nAnswer: 178.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 228481 or 1\/38?\nAnswer: 1\/38","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10507*p + 1568 = -10458*p for p.\nAnswer: 32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 67*f = 55*f + 60. Which is the smallest value? (a) -1\/3 (b) -0.4 (c) 0.3 (d) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -606.1960863 rounded to two dps?\nAnswer: -606.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round -1059.897 to the nearest one thousand.\nAnswer: -1000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((s*s*s*s\/s**7*s*s**6)\/(s**(8\/5)*(s*s**(5\/2))\/s))**9)**5 assuming s is positive.\nAnswer: s**(-9\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2525 by -25.\nAnswer: 101","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1 - -2. Suppose -h = -3*h - o + 1781, -x*h = -5*o - 2652. Suppose -6*k = k - h. Is k a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-4)\/6*6\/4. Which is greater: q or -1\/51?\nAnswer: -1\/51","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.1 - 0.2. Let k = 36 + -145\/4. Let z = 1\/4 - k. Put o, z, -2 in descending order.\nAnswer: z, o, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -75*m + 625023 - 612672 = 104*m for m.\nAnswer: 69","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 381746.\nAnswer: 2, 163, 1171","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 209053\/11 + -19005. Let c = -8 - -4. What is the nearest to 0.1 in c, 0.4, m, 5\/9?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -8739475 - 6?\nAnswer: -8739481","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 37 a factor of 2854?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m + 25 = 2*m. Suppose 0 = o + m*x + 18, -2*o + 2*x + 12 = -0. Solve 0*u - o*u - 4 = 0 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -38, 0, -69, -4, 12, 5, 13.\nAnswer: -69, -38, -4, 0, 5, 12, 13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 10 - -1242?\nAnswer: 1302","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(8\/3))**4*o**(-37)\/o**(-1) assuming o is positive.\nAnswer: o**(-76\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -444 - -752. Let m(g) = g**3 - 21*g**2 + 42*g - 4. Let c be m(2). What is the highest common factor of c and b?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = -253*z + 2427. Does 66 divide r(8)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*a + 5*o - 11 = a, 0 = 5*a - 3*o - 3 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 68\/34929 and 13\/58215.\nAnswer: 174645","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 4? (a) -3\/5 (b) 4 (c) 2 (d) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1\/3394 - 556611\/16970. Let t = 33 + f. What is the closest to 0 in t, -2\/19, -24, 0.3?\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-82)\/84 - (4 - (-58)\/(-14))\nAnswer: -5\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00108 rounded to three dps?\nAnswer: -0.001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find o such that o**3\/4 + 76633*o**2\/4 + 459767*o\/4 + 383135\/4 = 0.\nAnswer: -76627, -5, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or -17\/261928?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w = 3*l + 3 + 22, -w + 4*l = 53. Let n = w - -55. What are the prime factors of n?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -558*r = 120*r + 130*r - 808 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.2? (a) -0.2 (b) 0.1 (c) -1\/6 (d) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 47 - 43. Suppose 2*o + 12 = 4*m, -5*o = -q*m + m + 9. Let b(l) = l**3 - 4*l**2 + 3. Let f be b(4). Solve f*u + 3*d - 6 = o, 2*d = -3*u + d for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1317\/10 - 263\/2. Which is the closest to -1? (a) 0.17 (b) x (c) -0.5 (d) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w + b - 600 = -w, w - 147 = -b. List the prime factors of -5*(w\/(-5) + -5).\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does -403486 = 1\/2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = -z**2 + 49*z - 563. Let w be y(19). Suppose -5*g - 279 + 784 = 0. Suppose -361 - g = -w*m. List the prime factors of m.\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 1180 - -63413?\nAnswer: 64593","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*g = -f + 6, -2543*g + 18 = -3*f - 2546*g for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = v**2 - 2*v - 2. Let s be f(-2). What is the units digit of ((-1)\/(-2))\/(3\/s)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 207\/(-18) + (-286)\/748 + (-6)\/51?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = -k**3 - 3*k**2 + 1. Suppose -12*b + 14*b + 195 = 3*y, 5*y + 302 = -3*b. Let i = 101 + b. Determine x(i).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 338392557?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 72206 and 158.\nAnswer: 158","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1.5? (a) -0.03 (b) -0.2 (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -4, 206, 5 in ascending order.\nAnswer: -5, -4, 5, 206","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -8 times -37077\nAnswer: 296616","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3 - 7 - 5 - 2*v + 26*v - 46*v - 49*v - 4*v - 2*v + 5*v + 0 + 2*v + 0 + (-4 + 2 + 3)*(-v - v + 4*v) - v + v - v - 3 + 3 + 2*v.\nAnswer: -67*v - 9","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 5 + -5. Let r = 3 + -2.9. Which is the closest to y? (a) 1\/2 (b) 4 (c) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 2.116 and -25763716?\nAnswer: 25763718.116","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -79\/150 and 39\/16.\nAnswer: 1200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 10527 + -10532. What is the fourth smallest value in -6, b, -7, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k + 4*l - 9*l - 108 = 0, -5*k - l = -180. What is the remainder when 681 is divided by k?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -1542679.7 to the nearest 100000.\nAnswer: -1500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -3.2 - -2. Are -0.1 and l equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*y + 12 = -10*y. Suppose -2*o + 2 = -o. Solve -4*u - o = y for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 3 + -14105?\nAnswer: -14102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 3943 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = 3*m**2 - 23 - 7*m**2 + 11 + 3*m**2 - m. Let g be j(5). Let k = g + 255. What are the prime factors of k?\nAnswer: 3, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 8 - 4. Suppose -s*h = h. Suppose 0 = -2*p - 2*v + 18, h*v - 5 = -v. What is the least common multiple of 12 and p?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + sqrt(468).\nAnswer: -4 + 6*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 162, 272, 382?\n\"Answer: 110*o + 52","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.25 - 12?\nAnswer: -11.75","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round -366.965 to the nearest 100.\nAnswer: -400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -a + 4*y + 403 = 415, 2*a + 3 = y for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-20)\/10 + 12 + 1. Let p(n) = -5*n**2 + 11*n - 15. Let z(g) = -3*g**2 + 6*g - 8. Let c(l) = y*z(l) - 6*p(l). What is c(2)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) be the second derivative of 0*g**2 - 64*g + 0*g**3 - 1\/3*g**4 + 0. Let j(n) = 13*n**2. Determine j(r(l)).\nAnswer: 208*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) be the first derivative of 51*r**2 - 39*r - 13. Is s(6) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 165259077*q**5 + 2420*q**2 - 40173.\nAnswer: 9915544620*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-8)\/2 - (1 + 0). Let r = 57 - 64. Let g = n - r. What are the prime factors of g?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -11*(195\/(-13) + 14)\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*z**5\/13 + 1146*z**4\/13 + 50990*z**3\/13 + 310374*z**2\/13 + 326288*z\/13 - 688800\/13 = 0 for z.\nAnswer: -525, -41, -4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1281 - -1279.174. Let w = 1.83 + a. Round w to 3 decimal places.\nAnswer: 0.004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000020625 rounded to seven dps?\nAnswer: 0.0000206","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a\/(a*a*a**(-2\/7)*a)*a**3)**(-1\/4) assuming a is positive.\nAnswer: a**(-9\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = x**2 + x. Suppose 0*o + 9 = 3*o. Calculate the lowest common multiple of 14 and f(o).\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = -s**3 + 14*s**2 + s - 13. Let g be v(14). Solve 3*i + g = -8 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -308*b**3 + b**2 + 5019*b - 5247374 wrt b.\nAnswer: -924*b**2 + 2*b + 5019","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {y: 4, t: 1, x: 2, p: 4}. What is prob of picking 2 y and 1 t?\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -11511397, -23022797, -34534195, -46045591, -57556985, -69068377, -80579767?\nAnswer: -92091155","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n - 7 = 2*g + 3, 40 = 4*g - 5*n. Suppose g*x - x = 16. Suppose 0 = -2*a - 5*o + 76, -x*o - 16 = -0*o. List the prime factors of a.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 1 - 3 + 44*l + 186*l**2 - 19*l - 26*l in the form b*l + q + g*l**2 and give q.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -2, -8, -14?\n\"Answer: -6*t + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2084, -16424, -55350, -131156, -256136?\nAnswer: -442584","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -66*(15\/6)\/5*1. Let x = 43 + r. Suppose 20*l**3 + 5*l**4 + l**3 + 25*l**2 + x*l - l**3 = 0. Calculate l.\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 16476804 is divided by 17660.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put 98, -2, 638159, 1 in increasing order.\nAnswer: -2, 1, 98, 638159","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:35 AM and 12:40 PM?\nAnswer: 185","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 29141 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a + 4 = 3*a. Find the common denominator of 13\/9 and 12\/20 - (2 + a).\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence drd when three letters picked without replacement from unrddugrdrggddu?\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve p = 5*h - 22, 0 = 5*p + 12 - 2 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -76861738*f + f**3 + 76861738*f.\nAnswer: f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -65 - -67. Suppose 24 = 2*b - 2*i - 0*i, -3*i + 4 = l*b. Suppose -b = -s + 4*f, -3*f = 3*s - 2 + 8. Solve s*m = -2*m - 10 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 3*3\/(-6)*-4. Let m = 13 - t. Is m a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -61622 - -256?\nAnswer: -61344","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-17)\/52 + 27\/18. Let s = l - 12\/13. What is the nearest to s in -1, -0.2, 2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from fsjsf. What is prob of picking 1 f and 1 s?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 17 + -16 + 5 + -13?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 71.05857km?\nAnswer: 71058570","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1733741 (base 11) to base 10.\nAnswer: 2947726","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*t = -11*t + 15. Solve -t*o - 2 = 4*a + 4, 5*a - 4 = 2*o for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -28 - (-49 + 7 + -20 + 29)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of ((-8)\/(-92)*3\/(-4))\/((-24)\/(-110)) and -63\/115?\nAnswer: 920","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ugqpw. What is prob of sequence wqu?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -7879, -15366, -22855, -30346, -37839?\n\"Answer: -z**2 - 7484*z - 394","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 14147 and 34658.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find c, given that -9*c**4 - 149573*c**3 - 518075893*c**2 + 892190886717*c + 198290223846 = 0.\nAnswer: -8931, -2\/9, 1243","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = -2*z**2 + 9*z + 6. Let a(t) = -4*t**2 + 17*t + 11. Let c be 4\/(-14) + (-375)\/35. Give c*j(u) + 6*a(u).\nAnswer: -2*u**2 + 3*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 29452 and 1628.\nAnswer: 323972","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1722?\nAnswer: 2, 3, 7, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = 111*i - 6. Let o be l(8). Suppose -64*v - o = -71*v. What is the tens digit of v?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -48 = 2*u + 4*c, u + 4*c - 3*c = -20. Let s = u - -18. Suppose 0 - 2 = q, -s*q - 246 = -2*g. What is the highest common factor of g and 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 t, 1 p, and 1 e when four letters picked without replacement from pwpetetweeett?\nAnswer: 12\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -85\/22 - -96\/11. Find the common denominator of h and ((-3)\/(-24))\/((-6)\/152).\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1462 and 2294354.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 12\/(-3 - -5) + 37 + -2. Calculate the highest common factor of v and 287.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 185, 351, 507, 653, 789?\nAnswer: 915","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 51.64632 micrometers in centimeters?\nAnswer: 0.005164632","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 1143 (base 5) to base 7\nAnswer: 335","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = -z + 11. Suppose z*y + 2*v = 2*y + 258, 5*y = -5*v + 330. Calculate the greatest common factor of y and 7.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 16 - 12. Suppose 3*z - z - 8 = 0. Find the second derivative of 4*o + 6*o**z - o - 3*o**v wrt o.\nAnswer: 36*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 231 minutes after 10:26 PM?\nAnswer: 2:17 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 10301 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from gzgkkmmgkd. Give prob of picking 2 g and 1 z.\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6 - 7 - 4 = -y - 0*m + 9*m - 7*m, 16 = -4*m for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Work out 35.1 * 2.52.\nAnswer: 88.452","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort 85, 5, -20, -103, -17, -1 in ascending order.\nAnswer: -103, -20, -17, -1, 5, 85","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-3)\/45*44\/(-44))\/(12\/((-576)\/88)).\nAnswer: -2\/55","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 29 + -68?\nAnswer: -3d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*d + 4*m - 14, 3*m - 8*m = -25. Suppose 3*y - d = 7. Is (42 + -14)*y\/4 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 2112425 and 27475?\nAnswer: 175","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 22405, 44983, 67731, 90649?\n\"Answer: 85*o**2 + 22323*o - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -2 not equal to -1196\/503?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q\/(q**(2\/11)\/q*q))**(11\/4)*q**11*q*q**(1\/5) assuming q is positive.\nAnswer: q**(289\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.3 + 0.2. Let i = -54.9055 + 55. Let l = f + i. What is l rounded to 3 dps?\nAnswer: -0.006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (u + u - u)*(68955 + 3540*u**2 - 68955) in the form a*u**3 + m*u**2 + l + y*u and give a.\nAnswer: 3540","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -2.92 + -0.08. Let w = -46 + 73. Suppose -3*s - 3*j + w = 0, 2*s - 3*s + 4*j = 16. Which is the third biggest value? (a) g (b) s (c) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -8 - (-264)\/40 - (-4)\/10. What is the common denominator of (-20)\/22*((-3)\/4 - n) and 65\/32?\nAnswer: 352","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a*a**(-1)\/a*a)**(6\/7))**(-6\/5)\/(((a\/(a**(-2)*a))\/a)\/(a**3*a))**47 assuming a is positive.\nAnswer: a**141","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = -f**3 + 12*f**2 + 12. Let b be z(12). Solve -3*k - 3 = -b for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 193154 * 4.305\nAnswer: 831527.97","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -5001 + -16?\nAnswer: -5017","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 14\/11 - 67\/44. Let i be 6*(-1)\/(-10) + (-6)\/10. Which is the nearest to d? (a) -0.4 (b) i (c) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -81.1 + 4.1. Let y = 72 + o. Which is the second biggest value? (a) 2\/11 (b) y (c) -2\/15\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 385146 <= 385147?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o*(o\/(o\/(o\/(o\/(o*o*o**(-4\/7)))))*o*o)\/o)**32*(o**(-5\/6)\/o)\/(o*o*o**(1\/5)*o) assuming o is positive.\nAnswer: o**(21983\/210)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 534805 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is -6151 at most -8398?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 283 + 3553. What is the units digit of d?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -285.85 + 286. Which is smaller: y or 2\/55?\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 859 to the nearest integer?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 - 1510335*u**2 + 2 + 1509981*u**2 - 1.\nAnswer: -354*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 1*3*80\/(-30). Is 19 a factor of (d\/(-5))\/(1\/35)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -5 (b) 0.4 (c) -8 (d) -4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 14? (a) -5 (b) 1\/8 (c) -3\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express ((2 + 2 - 3)*(-k + 3*k + 0*k) - 11*k - 102 + 102)*(1 - k**3 - 1) in the form r*k**3 + p*k**4 + l + j*k + z*k**2 and give p.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round -210.4 to the nearest one thousand.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 2\/16 + ((-23)\/(-8) - 2). Put -1, j, 67 in increasing order.\nAnswer: -1, j, 67","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = w - 17. Let p be q(-25). Let k be (-17)\/28 + p\/(-56). Suppose 12\/7*u**3 - 4\/7*u - 9\/7*u**4 - k + 2\/7*u**2 = 0. Calculate u.\nAnswer: -1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 18368806?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -879, -1717, -2555?\n\"Answer: -838*w - 41","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) be the second derivative of p**4\/12 + 2*p**3\/3 - 3*p. Let b be w(-3). What is b rounded to the nearest integer?\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = a**3 + 3*a**2 - 2*a - 5. Let w be p(-4). Let v = w + 1. Let z = -3 - v. What are the prime factors of z?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = 74*v**2 - 6*v - 5. Let b be n(-1). Suppose -f + 62 = -b. What are the prime factors of f?\nAnswer: 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 115468.\nAnswer: 2, 28867","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 198*r**4 + 2*r**3 - 150*r**2 wrt r.\nAnswer: 4752*r + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 12, -2, -38, -102, -200?\nAnswer: -338","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 31536286, 31536281, 31536276, 31536271, 31536266?\nAnswer: 31536261","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 20 + -3212110121?\nAnswer: -3212110101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((5*(sqrt(1458) - 5*2*sqrt(1458)))\/(3*-5*5*sqrt(900)))**2.\nAnswer: 729\/1250","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -8191296 divided by -170652\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0001723 rounded to six dps?\nAnswer: 0.000172","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1712437?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 r and 1 k when three letters picked without replacement from {k: 1, q: 2, r: 3, j: 1}.\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 7*r - 22*r + 30 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 4, x: 2}. What is prob of picking 1 x and 1 m?\nAnswer: 8\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in -180611, -2.8, -0.09?\nAnswer: -2.8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-21)\/12)\/(-1)*22*2 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = -h**2 + 5*h. Let y be s(4). Suppose -y*m + 55 = 3*o, 5*o = 2*m + 62 - 5. Let x = -5 + o. What are the prime factors of x?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*-5*(((sqrt(1539) + 0)**2 - sqrt(1539) - sqrt(57)\/sqrt(27)) + -3).\nAnswer: -15360 + 280*sqrt(19)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {o: 4, f: 1, p: 6, d: 4, c: 2, v: 3}. Give prob of picking 1 o, 1 d, and 1 v.\nAnswer: 4\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 87*j**3\/5 - 7206*j**2\/5 + 152151*j\/5 - 121032\/5 = 0 for j.\nAnswer: 24\/29, 41","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -64827, -64873, -64921, -64971, -65023, -65077?\nAnswer: -65133","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = -7*o**2 + 17*o + 17. Let c(g) = -g**2 + 2*g + 2. Suppose 9*k + 386 = 332. Give k*h(a) + 51*c(a).\nAnswer: -9*a**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n = 5*z - 0*z - 33, -2*z = 0. Let o = 9 - n. What is the third biggest value in -3, 4, o?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1408 a multiple of 32?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2115*l**5 - 17628*l**4\/5 - 5639*l**3 + 8*l**2\/5 = 0. What is l?\nAnswer: -1, 0, 1\/3525, 8\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yqy when three letters picked without replacement from {y: 5, q: 3}?\nAnswer: 5\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = 2571*u**3 + 810*u + 15. Let h(q) = 3858*q**3 + 1216*q + 24. Let l(v) = -5*h(v) + 8*r(v). Find the second derivative of l(d) wrt d.\nAnswer: 7668*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -127\/230 and 57\/322?\nAnswer: 1610","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(170)*-3*5 + sqrt(170) + 2*sqrt(170)*-3)\/(-5*(sqrt(1440) - (sqrt(1440) - sqrt(1440)*5))).\nAnswer: sqrt(17)\/15","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 1 - (-2 + -1 - -2). Let v(k) = s*k - 7*k**2 + 10 + k**3 + k**2 - 8. Let i be v(6). Calculate the greatest common factor of 154 and i.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 175 minutes after 2:36 PM?\nAnswer: 5:31 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*n + 212 = 572. What is the remainder when 250 is divided by n?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -29009538 by -6.\nAnswer: 4834923","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -95 or -868\/9?\nAnswer: -95","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 5, -5238, 1\/2, 2\/25?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = -31*s**2 - 5*s - 18. Let k(g) = 16*g**2 + 2*g + 9. Let d(u) = 2*f(u) + 5*k(u). Differentiate d(y) with respect to y.\nAnswer: 36*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1010202 (base 3) in base 8?\nAnswer: -1476","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 25498\/15 - 1697. What is the common denominator of 9\/2 and c?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*i - 5*i + 0*i)*(-2 - 2 + 3)*(-2*i**2 - i**2 - 2*i**2).\nAnswer: -5*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = -w**3 - 43*w**2 - 7*w - 245. Let y be m(-43). What is the greatest common factor of y and 574?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = -d + 6. Let c be t(3). Suppose j - f - 32 = 4*f, -c = -3*f. What are the prime factors of j?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1825 - 1823. Let l(i) = 3*i + 17. Let w(d) = -d - 8. Give g*l(c) + 5*w(c).\nAnswer: c - 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -330 divided by 5?\nAnswer: -66","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {j: 2, r: 2}. Give prob of sequence jjr.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find r such that 4*r**2 + 9525968*r - 28577940 = 0.\nAnswer: -2381495, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 2998962893 to the power of 1\/3, to the nearest integer?\nAnswer: 1442","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2)\/((-19)\/((-855)\/(-18)))?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 3*s*x - 3*s - 10202*x + 3262 with respect to x.\nAnswer: 3*s - 10202","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 1.9+21.39138\nAnswer: 23.29138","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -238 + 768 = 4*j - 2*y, 408 = 3*j - 5*y. Let x = 209 - j. Let z = x + -33. What is the greatest common factor of 5 and z?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 104115 a multiple of 33?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 1e - -1a0?\nAnswer: 1be","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -34 divided by 516.\nAnswer: -17\/258","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -5*g**2 - 2 + 25*g**2 + g**2 + 36*g**3 + 5 wrt g?\nAnswer: 216","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -6, -23, -2, -18, -4 in ascending order.\nAnswer: -23, -18, -6, -4, -2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand -21*z**4 + 5*z**4 - 83*z**4 + (z**3 - z**4 - z**3)*(-1 + 4 - 1) + 2*z**4 - 4*z**4 + 3*z**4 + 4*z**4 + 130*z**3 - 130*z**3 + 3.\nAnswer: -96*z**4 + 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1230265?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 43004 - 5?\nAnswer: 42555","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 32 = n - 11. Suppose -195 = z + n. Is (z\/(-4))\/(6\/12) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -76689620 by -10.\nAnswer: 7668962","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 182*g + 280*g - 464*g + 97.\nAnswer: -2*g + 97","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 93441, 93445, 93459, 93489, 93541?\n\"Answer: n**3 - n**2 + 93441","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15*b + 16*b - 1 = 0 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = o**3 - 5*o**2 + 2*o + 10. Calculate the lowest common multiple of f(5) and 226.\nAnswer: 2260","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 44 - -88. Let c = -254 + q. Let k = 187 + c. What are the prime factors of k?\nAnswer: 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 173, 183, 191, 197, 201?\n\"Answer: -p**2 + 13*p + 161","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 141937 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort -34, -32, -3 in ascending order.\nAnswer: -34, -32, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -32, -47, -62, -77?\nAnswer: -92","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/7 in 4, -5, -2\/5?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 92476472 divided by -6842\nAnswer: -13516","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u + 2*y + 670965 = -121039, 3*u - 5*y - 594010 = 0. Suppose 20*o = -4*q + 16*o + 264000, 3*q - 3*o - u = 0. Round q to the nearest 10000.\nAnswer: 70000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 12 (base 9) to base 12.\nAnswer: b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = -17*z**2 - 87*z. Let q(t) = -21*t**2. What is h(q(d))?\nAnswer: -7497*d**4 + 1827*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -40*f + 47*f - 11361 = 0. Let p(k) = -3*k - f + 1623. Let l(q) be the second derivative of -2*q**4\/3 + q. What is p(l(x))?\nAnswer: 24*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -85\/2736 and -15\/162754?\nAnswer: 11718288","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.3 times 693?\nAnswer: 207.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -o + 4*o - 4*o - 2*o**2 - 2 - 3*o**4 to r*o**2 + d*o**3 + k + v*o + p*o**4 and give k.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 1902568 not equal to 1902379?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -56 (b) -2 (c) -3\/43 (d) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 76 - 77. Let v(r) be the third derivative of 2*r**5\/15 + r**4\/24 - r**2. Is v(g) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -23924, -96427, -217264, -386435, -603940, -869779, -1183952?\n\"Answer: -24167*a**2 - 2*a + 245","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1241 or 1242?\nAnswer: 1242","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -1 and 13?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 182 is divided by -25 + 157 - 5 - (5 + (-1)\/(-1))?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 7215 * 0.51\nAnswer: 3679.65","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1 + 2. Let h(j) = j**2 + 13*j + 2. Let g be h(-14). Suppose 5*s - g = -1. Sort s, 5, a.\nAnswer: a, s, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 35873 - 21761. Calculate the highest common factor of 6 and o.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 678767?\nAnswer: 678767","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z*z\/(z\/z**(-8))*z*z)\/(z\/z**24) assuming z is positive.\nAnswer: z**18","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -66843 + 66265.21. Let r = 2.79 + j. Let f = -574.9717 - r. What is f rounded to three dps?\nAnswer: 0.028","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xitd when four letters picked without replacement from fidxtdxiiidxix.\nAnswer: 5\/2002","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) be the second derivative of -7*m**5\/10 - 29*m**2\/2 - 3*m. Differentiate q(c) wrt c.\nAnswer: -42*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 9058 or 8080?\nAnswer: 8080","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -91, -207, -405, -685, -1047?\n\"Answer: -41*w**2 + 7*w - 57","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.8 - 4.2. Let u = 5796 + -5794. Which is the nearest to 2\/7? (a) -0.4 (b) u (c) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*c - 17*c = u + 24, -2*u - 5*c - 28 = 0. Let t be (-3)\/6 - 3 - 2\/u. Put 0, -62, -5, t in descending order.\nAnswer: 0, t, -5, -62","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 12 and 108.\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(-2)*b*b*b**(-4)*b*b)\/(b*b**(-1\/3)*b*b*b*b*b\/(b*b**(2\/13))) assuming b is positive.\nAnswer: b**(-254\/39)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 49\/5 of a microgram in nanograms?\nAnswer: 9800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 66374, 0, 1\/6, 4.\nAnswer: 0, 1\/6, 4, 66374","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) be the first derivative of 8*z**3\/3 + 10*z - 1. Differentiate q(b) with respect to b.\nAnswer: 16*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7.24 take away 2?\nAnswer: 5.24","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 2850 a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 4 (b) -2\/19 (c) 6\/31\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -8807 + 8811. Let o(t) be the second derivative of -1\/2*t**2 - 1\/12*t**k - 17*t - 1\/2*t**3 + 0. What is o(-5)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hs when two letters picked without replacement from hhhhhhhhssdhhd?\nAnswer: 10\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many weeks are there in 92571614.1ns?\nAnswer: 0.00000015306153125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -i**6 - 6*i**6 + 5*i**2 - 5*i**6 wrt i.\nAnswer: -1440*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2186246, -4372495, -6558744, -8744993?\nAnswer: -10931242","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 41153 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 65487827 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) be the third derivative of i**7\/5040 - i**6\/120 + i**5\/2 + 4*i**2. Let x(j) be the third derivative of r(j). Give x(8).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -81*h = -2830 - 1382 for h.\nAnswer: 52","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3085 divided by -60.\nAnswer: -617\/12","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 17 - 13. What is the third derivative of 5*u**4 - 4*u**2 + 17*u**2 + 5*u**4 - c*u**4 wrt u?\nAnswer: 144*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-90 - -150) + 7 + -43.\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 271907236, 271907233, 271907228, 271907221, 271907212?\nAnswer: 271907201","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 25, 5.\nAnswer: 3, 5, 25","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -41, -122, -239, -410, -653, -986?\nAnswer: -1427","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -32640 + 33991. Calculate the greatest common factor of 182 and d.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(sqrt(2) + 1 + (sqrt(2) - (-1 + sqrt(2) + sqrt(2)))) - sqrt(98)*1*-1.\nAnswer: 8 + 7*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = 43235*f - 43229. Calculate c(1).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.05333466 to four dps.\nAnswer: -0.0533","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 94278 and 228.\nAnswer: 114","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 556 minutes before 8:08 PM?\nAnswer: 10:52 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 202 - 61. Let k = 141.059 - w. Round k to 2 decimal places.\nAnswer: 0.06","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 8*s - 31*s + 414. Solve 0*k - 2*k = -3*c - s, 3*k = -3*c - 3 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -14513 + -5?\nAnswer: -14518","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0.2004 - 0.0934. What is a rounded to zero decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -8 + 14. Let h = -6.2 + g. Let l = 0.3 - 0.1. What is the closest to l in h, -2, -2\/9?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = x**2 + 12*x + 16. Let p be m(-10). Let o(h) = -2*h**3 - 5*h**2 - 2*h + 4. What is the tens digit of o(p)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 + 0 + 6 + 3 + -11.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (-32)\/144 - (-1896)\/27?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*(sqrt(484) + sqrt(484) + -1*sqrt(484) + sqrt(484)) + ((sqrt(484) + 1*sqrt(484))*5 - sqrt(484)))\/(((-1*sqrt(20))\/sqrt(5))\/(sqrt(200) - sqrt(2))).\nAnswer: -1089*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1257991 is divided by 3847.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.36 - 16.14. Let v = d - -17. Let q = 0.5 + v. Which is the closest to -1\/3? (a) 1\/5 (b) q (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d = 5*a - 57, -a - 28 = d - 5*a. Let l be ((-6)\/8)\/((-1)\/d). Calculate the remainder when 56 is divided by (2 + 69\/l)*-2.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 i and 1 c when two letters picked without replacement from {c: 1, i: 2, e: 1, w: 1}?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((j\/j**6*j)\/j)\/(j*j**(-4\/3)))\/((j**(-7)\/j)\/j*(j*(j\/(j*j**4))\/j)\/j)*(j**(-1\/2))**(5\/8)\/(j**(-4)\/(j*j**(-4\/5))) assuming j is positive.\nAnswer: j**(3173\/240)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 82798597?\nAnswer: 7, 23, 514277","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -669018, -669029, -669042, -669057, -669074, -669093, -669114?\nAnswer: -669137","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = -x - 2. Let b(u) = -6*u**2 + 5*u - 7*u - u**3 - 7 - u. Does 21 divide b(x)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 j and 3 u when four letters picked without replacement from {u: 4, j: 2}?\nAnswer: 8\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 28ef40 + 52?\nAnswer: 28ef92","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.05964 and -10603.3.\nAnswer: 632.380812","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -542*u - 2316*u - 160680 = 9502*u for u.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.2 - -5.3. Let x = -4.3 - 0.7. Let w = n + x. What is the nearest to -0.2 in 4, 3\/2, w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -26 - -38. Is 2 smaller than r?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (75\/(-100))\/(1 - 10\/4). Which is the nearest to 0? (a) 0.23 (b) 0 (c) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 = -h - 5*c, 2*h + 4*c + 7 = 5*h. Suppose 0 = -0*m + 24*m - 7 + 7. What is f in 5\/4*f**h + m*f - 5\/4*f**3 + 5 - 35\/4*f**2 + 15\/4*f**4 = 0?\nAnswer: -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 2\/((6\/16)\/(-3)). Let v(o) = o**3 - 2*o + 1. Let x be v(3). Let g = x + k. Solve -2*a - 2*a - g = j, -5*j - 2*a = 12 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 85268*t**3 - 319831*t**3 - 712*t + 712*t.\nAnswer: -234563*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (4\/22)\/((-3070)\/6140).\nAnswer: -4\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-6)\/4)\/((-84)\/16). Let g be ((-2)\/(-7))\/((-15)\/(-20)). Let q = -31\/63 + g. Which is the nearest to v? (a) -3 (b) -0.3 (c) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/3? (a) -0.2 (b) -2\/427 (c) 0.8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4548?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2858301?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(363) - (1 + sqrt(363))) + sqrt(363))**2*-1 - ((-4*5*sqrt(24))\/sqrt(8))**2.\nAnswer: -1564 + 22*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -10 (b) 3 (c) -0.02 (d) -3.5 (e) -3 (f) 0.02\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*t**3 - 17*t**3 + 20*t**3 + 0*t**3.\nAnswer: 9*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 65\/(-39)*(-1 + 4).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -243 divided by -870?\nAnswer: 81\/290","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort 163, 2, 1, 5 in decreasing order.\nAnswer: 163, 5, 2, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -26 - 37 = -7*c. Let l = 21 - c. Is l a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (2\/30)\/((-92)\/(-36)). Let l = 3317\/690 + z. Calculate the common denominator of 7\/296 and l.\nAnswer: 888","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = 8*k**2. Suppose 191 = 24*o + 47. Let t(v) be the first derivative of -v**2\/2 + 1. Let g(b) = -b. Let y(n) = o*g(n) - 5*t(n). What is y(q(r))?\nAnswer: -8*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = -11704*t**3 - 9*t**2 - 20*t + 125. Let s be u(9). What is s rounded to the nearest one million?\nAnswer: -9000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -7.10224 take away -3602995?\nAnswer: 3602987.89776","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 e and 2 r when three letters picked without replacement from {a: 2, d: 1, o: 1, e: 7, r: 5, b: 1}.\nAnswer: 7\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1407 is divided by 128?\nAnswer: 127","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 2 + -243021112?\nAnswer: -243021110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 8 and 47?\nAnswer: 376","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x + 326 = 4*l + l, 2*x - 166 = -4*l. Suppose -o - 4*z = -47 - x, -2*z + 576 = 5*o. What is the hundreds digit of o?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-11410)\/(-489))\/((-31)\/(-93))?\nAnswer: 70","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = -63*w + 5. Let p be -2 + 6\/5 + (-231)\/55. Let t be j(p). Calculate the highest common factor of t and 64.\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -2046383.5 to the nearest one thousand.\nAnswer: -2046000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*s + 13 - 22. Suppose -5*k + 10 = -s*n + 2*n, -16 = 3*k - 5*n. Suppose 5*b - u - 2*u - 611 = 0, k*b - u = 369. What are the prime factors of b?\nAnswer: 2, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = -179*a - 205. What is u(-1)?\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 51 + -53. Let m be i - -11 - 2*-1. Is m - -123 - (2 + -1) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 65377 - 175.63019\nAnswer: 65201.36981","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is (7\/48)\/(1\/(-4))*-6?\nAnswer: 7\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (6\/18)\/(((-8)\/420)\/(36\/(-42)))?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = 3*x + 3. Let o(f) = 4431*f**2 - 198. What is o(i(u))?\nAnswer: 39879*u**2 + 79758*u + 39681","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert 53.68389um to millimeters.\nAnswer: 0.05368389","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 430460 (base 15) in base 12?\nAnswer: 109a339","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = y**2 - 18*y + 3. Let t be q(18). Suppose 100 - 309 = -t*h - 4*m, -3*m - 12 = 0. Is h a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 191\/6 or 0.04493?\nAnswer: 0.04493","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 g and 1 e when three letters picked without replacement from {d: 1, e: 4, g: 5, p: 6}.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: (6 - (-3 - -12)) + 3\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 - (4 + -3 - -4).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 226 - 2*3\/6. Let w = 80 - k. Let x = w + 577\/4. What is the closest to 0.1 in 0.3, 1\/7, x?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*v + 8*v - w = -5, 0 = -3*v - 2*w + 10 for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -7 + 27. Suppose -3 = 2*w - u - 9, -w = -4*u + 4. What is the smallest common multiple of y and w*(3 + (-8)\/4)?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 210.693 milligrams to tonnes.\nAnswer: 0.000000210693","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 526?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1101110101 + -1011010100001?\nAnswer: -1101000010110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) be the first derivative of -2*g**3\/3 + 3902*g**2 - 7612802*g - 2500. Factor x(d).\nAnswer: -2*(d - 1951)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 12905 - 6268. Is n composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-96)\/(-28) - 3)\/(-1)*7.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*h + 4*w - 2 + 10, -4 = 3*h - 2*w for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 74632 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is (2\/36*6)\/((-2)\/18)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 8943035707 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 21 and 63.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 46*k**3 - 11 + 8 + 31*k**3 - 4*k wrt k?\nAnswer: 462*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 39 divide 1400\/6*(-36)\/(-24)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = -v. Suppose -3*o = -5*q + 23, -12 - 1 = 5*o - 2*q. Let u be 10 + o - (-6 - -6). Let d(x) = -u + 9 - x**2. Determine s(d(r)).\nAnswer: r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -2314445*v**3 + 166453.\nAnswer: -6943335*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = -3*l**3 - 24*l**2 + 30*l + 397. What is the lowest common multiple of 105 and i(-9)?\nAnswer: 7770","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 142 minutes before 7:51 AM?\nAnswer: 5:29 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = -v**2 + 4*v + 1. Let p be i(3). Let g(f) = 354*f**2 - 4*f - 3. Let h be g(p). Let j = h + -101567\/18. What is the common denominator of 83\/20 and j?\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 t and 1 p when two letters picked without replacement from {p: 1, t: 1, o: 1}?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 583 is divided by 21?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -6248, -7243, -8488, -9983, -11728?\n\"Answer: -125*h**2 - 620*h - 5503","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = h + 10. Calculate the lowest common multiple of t(-6) and 18.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -8 - ((-45 - (8 + -19)) + 12).\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 65 = -18*g + 5*g for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 23221339 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 37\/21186 and -7\/2862.\nAnswer: 3368574","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h + 6*d - 4*d - 2407 = 0, 0 = -5*h - d - 4016. Let k = h - -803. Solve 5*q - q - 8 = k for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000155613 to 7 dps.\nAnswer: 0.0000156","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 1.665 and -41?\nAnswer: -68.265","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w + 149*d = 144*d - 2731, 5*w + 2*d - 3422 = 0. Calculate the smallest common multiple of 174 and w.\nAnswer: 19836","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -29*y**2 - 8*y**2 + 6 - 3.\nAnswer: -37*y**2 + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -1247*l**3 - l**2*n**3 - l*n**3 + 77*n**3 + 106*n**2 + n - 2 wrt l?\nAnswer: -3741*l**2 - 2*l*n**3 - n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = -n - 15. Calculate k(11).\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = 3*l + 13. Suppose 30 = -2*q - 3*q. Let h be o(q). Let t(w) = -w**2 - 4*w + 3. Calculate t(h).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0\/2*(-7)\/7?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*j - 102*i + 424 = 56*i - 50*i, 16*i + 28 = -4*j - 0*i + 19*i for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -16*8\/(-320)*-20?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 611 minutes after 5:30 AM?\nAnswer: 3:41 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -c - 729*c**2 + 1458*c**2 - 730*c**2 + 41*c**3 + 2*c to the form w*c**2 + q*c + m*c**3 + t and give q.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0541167411 to 4 decimal places.\nAnswer: 0.0541","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand -7*y + 3*y + 2*y + (-3 + 4 - 2)*(0*y + y + y) + (-3*y + 5*y + 9*y)*(1 - 2 + 0).\nAnswer: -15*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (1\/(-2))\/(4\/(-16)). Let z(v) = -3*v + c*v + v - 2*v - 1. Let w be z(-3). Solve y + w = 3 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 151.3 in 2\/11, -20, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 2388432 and 20400.\nAnswer: 816","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 42 and 98.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14 = -i - 0*i. Calculate the greatest common factor of i and 154.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 311208 is divided by 3?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is seven thirds of a hour in minutes?\nAnswer: 140","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 11769*a**3*z - 1439*a**2*z + 1 wrt a.\nAnswer: 70614*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 10367 times 24?\nAnswer: 248808","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 6.45 + -3.4. Let r = 4 - n. Let q = 0.05 + r. What is the nearest to q in 5, -2, 2\/19?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = i**2 - 5*i + 2. Let u be c(2). Let d(r) = r + 3. Let n be d(u). Let q(w) = -14*w**2 - w. What is q(n)?\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 1583 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -10709\/3800 + 491\/200. Calculate the common denominator of v and -23\/410.\nAnswer: 7790","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -10 + 11 + (14 - -1 - (-14 + 19))?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express 22*g - 83 + 83 in the form m*g + k and give m.\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 754 and 26.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -147089, -147140, -147191, -147242, -147293?\n\"Answer: -51*r - 147038","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 14 - 44. Suppose -4 = -15*w + 86. What is the remainder when w is divided by (2\/(-4))\/(5\/k)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -21872050*w + 52478237 wrt w.\nAnswer: -21872050","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 216 and 1032?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Product of 152025 and -1.2.\nAnswer: -182430","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 4 + 24131?\nAnswer: 24135","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (7 - 10)*(-3 + (-8)\/(-3)). Let k be (14\/6 - 3)\/((-4)\/(-12)). Put 2, v, k, -4 in increasing order.\nAnswer: -4, k, v, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -228*w - 136 = -124*w - 96*w for w.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 51334726 is divided by 776?\nAnswer: 774","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 64043 is divided by 3?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 96\/(-64)*((-304)\/3 + 0). Let c = -149 + f. Solve s = -c*b - 9, 6 = -s - 4*b + 2*b for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:51 AM and 8:10 AM?\nAnswer: 19","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 17\/14 - 12\/7. Which is the third smallest value? (a) -1 (b) d (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 2 - -35214775?\nAnswer: 35214777","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -2\/11, -1, 0.2432?\nAnswer: 0.2432","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (11\/(-2))\/(2508\/1368).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1 + 34*i - 33*i - 1 to the form u*i + m and give m.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = 65*r - 3874. Give v(59).\nAnswer: -39","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -1 (b) 0.1 (c) -0.5 (d) -12384\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = -454*h**3 + 4*h**2 - 5. Let u(w) = 455*w**3 - 5*w**2 + 6. What is -6*g(o) - 5*u(o)?\nAnswer: 449*o**3 + o**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 41*a = 50*a - 1323. What is the greatest common divisor of 3 and a?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o + 54 = -4*v + 8*v, -v + 3*o = -21. Suppose -4*h - 2*w = -120, -6*h = -3*h + 3*w - 84. What is the greatest common divisor of v and h?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 + 1710*u - 1691*u + 1.\nAnswer: 19*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 9.2 - 9. What is the nearest to 9\/7 in 4, 2\/5, a?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 + 0 = m. What is the first derivative of -2 - l + m*l - 6*l + l wrt l?\nAnswer: -3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -z + 5*w + 10 = 0, 23*z + 3*w + 23 = 27*z for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1 - -16)\/(50 - 58 - (11 - (-1470)\/(-75))).\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5004 is divided by 213.\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 546 divided by -3.\nAnswer: -182","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-8)\/(-2) - 12)\/(-1). Let j(a) = -6*a**2 + 17 + a**3 - g + 2*a - 11. What is the tens digit of j(6)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 782760557 to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 3461011 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -824 + 1420. Calculate the remainder when u is divided by 23.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4\/(-10))\/((-77)\/(-14) + -5).\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round 280.59 to the nearest one hundred.\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 14035 in 6, -7\/3, 0?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (2 - 0) + (3 - 4). Suppose -5*o = k + 9. Is -1 smaller than o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 16 divided by -31634.\nAnswer: -8\/15817","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-2)\/(-8) - 0) + 0. Let t = -196957\/18 + 10945. Let p = -22\/9 + t. What is the third smallest value in p, n, -4?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 1\/8 (b) 1\/10 (c) -202\/369\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:18 PM and 5:00 AM?\nAnswer: 462","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(11)*-1 + 2 + (sqrt(11) + 2)*-5 - (2*((-2*sqrt(66) - sqrt(66)) + sqrt(66) + sqrt(66)))\/(-1*sqrt(18)\/sqrt(3)))**2.\nAnswer: 128*sqrt(11) + 768","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) be the first derivative of 0*z**3 - 1\/5*z**5 + 0*z**2 + 0*z + 1\/4*z**4 - 13. Factor y(r).\nAnswer: -r**3*(r - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*k - 4*j - 4, -4*k + 2*j - j = -11. Suppose -2*h + 74 = 3*v, -5*v = k*h - 207 + 81. What are the prime factors of v?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*c, 0*c + 2*c - 10 = -2*v for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) be the third derivative of v**4\/12 - v**3\/6 + 7*v**2 - 4*v. Let u(o) = -3*o + 1. What is -5*r(i) - 3*u(i)?\nAnswer: -i + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 l and 1 v when three letters picked without replacement from sllvvclccc.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(-1))**(42\/5)\/(((r\/r**(-4))\/r)\/r**(1\/2))*(r**(1\/4))**(-1\/54)\/(r\/(r**4*r)*r**(-2)) assuming r is positive.\nAnswer: r**(-6377\/1080)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:56 AM and 6:40 PM?\nAnswer: 584","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-9)\/(378\/(-24)) - (-149)\/21. Let q = b - 19\/3. Suppose 4*o - 8\/3 - q*o**2 = 0. Calculate o.\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.5*0.011\nAnswer: -0.0055","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*k - 3*i - 94, -4*i + 2*i = 4*k - 62. Suppose 5*n - k = 43. Suppose 0 = 11*y + 2*y - 1079. What is the remainder when y is divided by n?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 190 divide 4594876312?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -56022041*f**3 + 112252877*f**2?\nAnswer: -336132246","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 2 - 3*(-5)\/(-15). Let a be (7 + -3 + 1)*1\/s. Let p(f) = -a + 18 - 2*f**2 - 7. Let m(t) = -2*t. Determine m(p(g)).\nAnswer: 4*g**2 - 12","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (746\/1)\/(66 - -27) + -8?\nAnswer: 2\/93","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(126) - (sqrt(126) - (sqrt(126)*-1 - sqrt(126))))*1)\/((sqrt(108)*-1)\/sqrt(12)))\/((-2*sqrt(216))\/sqrt(3)).\nAnswer: -sqrt(7)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) be the first derivative of d**3\/3 - 33*d**2\/2 + 25*d + 341. List the prime factors of k(-16).\nAnswer: 809","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -8 - -6. Let p = 5 + b. Solve -4*i + 1 = -p for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t*t**(2\/27)*t)**(-24) assuming t is positive.\nAnswer: t**(-448\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*j**3 + 2*j**3 + 0*j**3)*(-3*j**2 - j**2 + 3*j**2) - 4*j**5 + 3*j**5 + 0*j**5.\nAnswer: -3*j**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 1, p: 1, q: 8, x: 3, y: 2, d: 1}. What is prob of picking 1 j and 1 q?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -11, 0.063, -1, 0?\nAnswer: -11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 262598 + -128407. Is a a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -57 + 47 - 5*y**2 - 102 + 7*y**2 as d + k*y**2 + o*y and give k.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) be the second derivative of c**3\/6 + c**2\/2 - 5*c - 5. Let t(o) = o**2 - 3*o + 4. What is -4*m(p) + t(p)?\nAnswer: p**2 - 7*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 135559331 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -30 - ((-4 - -2) + 3 + -2) - (-1435 + 1429)?\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = -u + 15. Let b be c(-5). Is 19 > b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v = 4*u - 3*u + 62, -5*v = 2*u + 156. Let p be (-32)\/24 + v\/(-6). Solve -z = -4*f - 23, p*z - 2 - 5 = -f for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (2 + 0)\/((-4)\/(-10)). Let p = -1.52 - -1.12. What is the closest to -0.1 in u, -1, p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -16274 (b) -0.13 (c) 2 (d) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = -3*n**2 + 146*n + 3429. Give m(66).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 8627, 34639, 78031, 138803, 216955, 312487?\n\"Answer: 8690*v**2 - 58*v - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p + 3*p + 50 = 0. Let n(d) = 2*d**2 + 15*d - 9. Let i be n(p). Suppose -17 = o - i. Calculate the highest common divisor of o and 60.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 75 + -75.000137. What is d rounded to 5 dps?\nAnswer: -0.00014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r - 35 = 3*d + 17, 0 = 2*d - 5*r + 26. Let v be (-4)\/(-1) + 20 + d. Are 20\/3 and v non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g - 3*g + 152 = 0. What is the units digit of g?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 23477410.\nAnswer: 2, 5, 11, 53, 4027","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -17 + 21. What is the units digit of t\/(3\/1*6\/153)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -18 + 4 + 6 + 5?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 40*m**4 - 1972*m**3 - 10052*m**2 - 5448*m + 2592 = 0.\nAnswer: -4, -1, 3\/10, 54","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:54 PM and 12:19 AM?\nAnswer: 445","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = -2*q**2 - 2*q. Let y(h) = -15*h - 26. Let f(c) = b(c) - y(c). Let n be f(8). Solve n*k = 3*r + 8, 5 = -r - 2*r - k for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 11006?\nAnswer: 2, 5503","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -0.4, 1, -5, -421, -3, 26?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Work out -328138413940 - -3.\nAnswer: -328138413937","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 1 + -1 - ((-147)\/7 - 1). Calculate the highest common factor of 209 and f.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = -j**2 - 3*j + 1. Suppose q - 21 = -5*p, 2*q - 10 = -5*p + 12. Suppose -10 = -2*s - p. Let g(r) = -r**2 - r. Let f(u) = s*x(u) - 5*g(u). Give f(2).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -2, -5, 7, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 215567.\nAnswer: 11, 19597","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Add 0.3 and -1026110.18629683.\nAnswer: -1026109.88629683","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) be the third derivative of 0*r**4 + 0*r**6 + 0*r + 1\/30*r**7 - 4*r**2 + 0 + 1\/30*r**5 + 0*r**3. What is the third derivative of g(k) wrt k?\nAnswer: 168*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4908939?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -2 + (3 - 2)\/3. Suppose -5*a + 31 = -a + 5*q, 3*a - 18 = -2*q. Put -0.2, z, a in decreasing order.\nAnswer: a, -0.2, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -37 - -19. Suppose -562*b = -503*b + 1180. Does x = b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x + z + 190 = 32, x + 5*z = 128. Solve -c = 150 - x for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) be the third derivative of 19*r**5\/30 + r**4\/12 - 7*r**3\/2 - 13*r**2. Let d(j) be the first derivative of o(j). List the prime factors of d(2).\nAnswer: 2, 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (57\/4)\/(15\/(-40)). Let h = z - -62. Solve 5*u = -2*s - 15, -h = 5*s - s + 4*u for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 10877 and 149.\nAnswer: 149","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) be the second derivative of 4*l + 0*l**2 - 1\/25*l**5 - 1\/50*l**6 - 1\/60*l**4 + 0 + 0*l**3. Solve w(c) = 0.\nAnswer: -1, -1\/3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1814 or -13\/95?\nAnswer: -13\/95","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.9? (a) 1.16 (b) 6 (c) -281.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(187)\/(sqrt(88)\/sqrt(8)*-4))**2.\nAnswer: 17\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = 5*g**2 - 162 - 4*g**2 + 185. Let c(p) = p**2 + 12. Let b(x) = -5*c(x) + 3*j(x). Let f(d) = 3*d**2. What is b(f(h))?\nAnswer: -18*h**4 + 9","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 60856 + 60851 - 3*u - 121707.\nAnswer: -3*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6343 is divided by 145.\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = -w + 4*m, 0*m = 2*w - 4*m. Let r(d) = -3*d**2 + w + 4*d + 3*d**2 - 9 + d**3 + 8*d**2. What are the prime factors of r(-7)?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2562+0.79202\nAnswer: 2562.79202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0.5 (b) -5 (c) -1 (d) -5\/121 (e) 1\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = -4*v + 43. Let i be x(17). What is the least common multiple of 6 and -3 + i\/(-15)*9?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) be the second derivative of 0 - 2*p - 3\/2*p**3 - 5\/2*p**2 + 1\/12*p**4. What are the prime factors of b(10)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 650 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = 7*k**2. Let p = 15 - 7. Let r be p\/(-44) - (-4 - 431\/11). Let y(v) = r*v**2 - 72*v**2 + 34*v**2. What is s(y(n))?\nAnswer: 175*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let 0*c + 0 - 2\/15*c**2 + 2\/15*c**3 = 0. Calculate c.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 f and 1 e when three letters picked without replacement from feeeffeeeeeeee?\nAnswer: 33\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 s when two letters picked without replacement from {z: 3, s: 4, w: 3, d: 1}?\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*b - 35, 26*g + 571667 = 27*g - 2*b. Is g a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2 = -p - 2*r + 4, -2*p = -2*r - 6 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = 22*q**2. Let n be k(-3). Let j = 218 - n. What is the smallest common multiple of 16 and j?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 10 + 8. Suppose -5*q - 9 = -234. Calculate the greatest common divisor of d and q.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1860*j + 24*j**2 + 140 + 11 + 104 + 1862*j.\nAnswer: 24*j**2 + 2*j + 255","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1454? (a) -14 (b) -3 (c) -0.03\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = 63455*k**2. Let m(z) = -2*z. Determine m(p(x)).\nAnswer: -126910*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -3111*x**4*z + 83*x*z**2 - 93573*z**2 - z + 2 wrt x.\nAnswer: -12444*x**3*z + 83*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*m = -5*m + 780. Suppose -4*c - m = -72. Solve 2*w - 2*s = -10 - 2, c*w = -3*s - 22 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = u**3 + u**2 + u + 76. Let c be v(0). Let x = -7892 + 7968. What is the highest common factor of c and x?\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 433225251?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2109 is divided by 697?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is l in -l**4 - 8*l**3 - 24*l**2 - 32*l - 16 = 0?\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = 5*c**2 - 84*c + 231. What is b(13)?\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6786526.\nAnswer: 2, 431, 7873","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 30*m + 55*m - 103*m = -5040. Is 282 >= m?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = -q. Let m(l) = 3*l. Let n(s) = 3*m(s) + 7*o(s). Let u(a) = 4 + 2*a - 4 - 7*a. What is u(n(w))?\nAnswer: -10*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 70 * 1.16\nAnswer: 81.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 17 + (-1 - -8) + (16 - (1 + 19))?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = -c**2 - 21*c + 10. Let o be (1\/((-15)\/(-18)))\/((-2)\/(-15)). Let l be ((-3)\/o)\/(4 - (-681)\/(-171)). Is 16 a factor of i(l)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = i**3 - 18*i + 32. Let m be q(2). Solve 3*p + 0*d - m*d - 6 = 0, 4*p - 5*d - 8 = 0 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 33945, 67825, 101649, 135411, 169105, 202725?\n\"Answer: -f**3 - 22*f**2 + 33953*f + 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*z = 30*z - 52357. What is the hundreds digit of z?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 121230301 (base 4) to base 6\nAnswer: 2131201","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 48 and 291472.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 266 minutes before 11:03 PM?\nAnswer: 6:37 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1.445545 - -0.045545. Let h = -0.02 - 6.98. Is l less than h?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*d - 6 = 0, -3*j + 2*j - 556*d + 558*d = 30 for j.\nAnswer: -36","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) be the third derivative of n**5\/30 + 4*n**2. Let z(v) = -12*v**2 + 20*v. Let m(g) = g**2 - 2*g. Let s(h) = 10*m(h) + z(h). Determine s(x(i)).\nAnswer: -8*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = 11*u**2 - 116*u - 486. Let j be k(-4). What is the greatest common divisor of 88 and j?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) be the third derivative of w**7\/840 + 17*w**6\/240 + 209*w**5\/240 - 361*w**4\/24 - 2*w**2 + 7. Factor b(n).\nAnswer: n*(n - 4)*(n + 19)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -303, -307, -311?\n\"Answer: -4*f - 299","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -21\/4796 and -14\/22781?\nAnswer: 91124","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 971, 973, 975, 977, 979, 981?\n\"Answer: 2*p + 969","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c\/(c*c**3)*c)**(-12)*c**(-6)\/(c\/c**(-11\/2)))**(-5\/8) assuming c is positive.\nAnswer: c**(-115\/16)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -350671 - 65?\nAnswer: -350756","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) be the third derivative of -61*f**4\/24 - 17*f**3\/2 + 2*f**2 + 11. What is the hundreds digit of t(-4)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7799869.\nAnswer: 7, 11, 29, 499","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 1007 to the power of 1\/4, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 5 (b) 0.03 (c) -38\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -24 + 22. Suppose 5*r = -h + 2*h - 30, -h = -4*r - 25. What is the closest to -0.05 in l, r, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 - (0 + (-66)\/15)?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.46*-607.\nAnswer: 279.22","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Divide -340417 by 9.\nAnswer: -340417\/9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1012729741?\nAnswer: 1012729741","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 6e8 + -c7bb3?\nAnswer: -c74cb","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 13734697?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = n**2 + 12*n + 29. Let x be i(-9). Solve f = v + 3*f - 4, x*v - 2*f - 8 = 0 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.559316546 rounded to 1 decimal place?\nAnswer: -1.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -4, -9302, 1\/9, -5, 3\/2, -2\/23?\nAnswer: -9302","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 15545 is divided by 472.\nAnswer: 441","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 307 + -308. Let b be (-21)\/(-12) - 1\/(-4). Put b, -5, k in decreasing order.\nAnswer: b, k, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -361 + 972. Is h a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*u + 864 = -3*u. Suppose -u = -0*k - 4*k - a, 20 = -5*a. Is k a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 189885*r - 380006*r + 190151*r.\nAnswer: 30*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 2*(-2)\/46 + 11070\/(-2829). Let t(p) = -p**3. Let z(d) = 6*d**3 + 3*d**2 - 3*d. Let w(b) = -5*t(b) - z(b). What is w(r)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 0.02, 0, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express 5599*d**2 - 17*d - 468*d**2 + 22*d - 27*d + 20*d in the form y*d**2 + z + s*d and give s.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h + 46*o - 51*o = -340, -924 = -6*h + o. Calculate the remainder when h is divided by 9.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.029941 and 5.05?\nAnswer: -0.15120205","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -32360\/319 - -1106\/11. Calculate the common denominator of 48\/17 and p.\nAnswer: 493","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 223262?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b*b**17)\/b*b**(1\/22) assuming b is positive.\nAnswer: b**(375\/22)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 2\/(-8) - -63*340\/75888\nAnswer: 1\/31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 255.3636um?\nAnswer: 0.2553636","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 827307539?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1\/7 or 8328?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*u - 7 = 3*h - 0*u, 8 = -2*h - 2*u for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -20071, -20077, -20095, -20131, -20191?\n\"Answer: -y**3 + y - 20071","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22*h + 3380 = -48*h. Let z = h - -161. Solve -6*g = -z + 13 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -21312 + -3131310?\nAnswer: -3213222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = 4*o. Let j(x) = 4*x - 226. What is q(j(l))?\nAnswer: 16*l - 904","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 (base 11) in base 5?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence oooy when four letters picked without replacement from {y: 2, o: 3}?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*y - 1660428 - 4*y + 1660428.\nAnswer: -7*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 670 + -292. Suppose -60*s + 58*s = -d. List the prime factors of s.\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-9 + 9 + 18*g)*(3*g**2 - g**2 + 0*g**2) - g**2 + g**2 - 2*g**3.\nAnswer: 34*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 599 is divided by 60?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = 0*q - q**3 + 1 + 4 + q + q**2. Suppose -3 = 3*b + 2*a - 0, 11 = 5*b - 2*a. Let y be b\/(-2)*1*0. Calculate o(y).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1838330801.\nAnswer: 137, 2203, 6091","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*t = -11669 - 22521. What is the units digit of t?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0002511 to six dps.\nAnswer: -0.000251","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 708 minutes after 11:22 PM?\nAnswer: 11:10 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: (((-2)\/(-9))\/((-1)\/3))\/(-2)\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -264*z - 13074 = 6198 for z.\nAnswer: -73","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2074*h - 2077*h + 4440 = 0. Round h to the nearest 1000.\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-44808 - 45300 + 72639)*(-2*t - 1 + 1 - 2*t + 3 - 3 + (-2*t + 4*t + 0*t)*(2 - 2 - 1) - 3*t + 4*t - 2*t) to o*t + i and give o.\nAnswer: 122283","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 524244*q + 0*q**2 - 524719*q - 2*q**2 - 1327*q**3 wrt q.\nAnswer: -7962","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 17863 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = n + 512. Give w(0).\nAnswer: 512","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 226236200 rounded to the nearest one hundred thousand?\nAnswer: 226200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express 0 - 4 - 30*o**2 + 2*o + 0*o + 3 as q*o**2 + t*o + v and give t.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 74\/99 and -35\/15039.\nAnswer: 165429","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 29876453?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort -304, 2, -4 in increasing order.\nAnswer: -304, -4, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -203*l + 242*l + 78 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = 21*r. Let w(h) be the third derivative of -23*h**4\/24 - 353*h**2. Give u(w(q)).\nAnswer: -483*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-17)\/119*-63 + 3509?\nAnswer: 2, 1759","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1620665593 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = -2*c**2. Let h(r) = 23*r**2 + 5*r + 5. Let s(v) = 851*v**2 + 184*v + 184. Let d(t) = -184*h(t) + 5*s(t). Calculate y(d(q)).\nAnswer: -1058*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -1bb + 0?\nAnswer: -1bb","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 2.3 (b) 78 (c) -3 (d) 4 (e) -0.3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p = 6, 11*w - 6*w = p + 32. Let s(q) = q**3 - 6*q**2 - 9*q + 8. What is s(w)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = 6*x**2 + x. Let g be k(-1). Suppose 0 = -2*y - g*t + 62943, 4*t + 3 - 7 = 0. Is y prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) be the second derivative of -c**3\/2 + 18*c. Let r(q) = -48*q - 13. Let t(n) = 23*n + 6. Let i(s) = 6*r(s) + 13*t(s). Determine i(j(d)).\nAnswer: -33*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 1268211?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 945698 and 20.\nAnswer: 9456980","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 274, 1102, 2464, 4354, 6766, 9694, 13132, 17074?\nAnswer: 21514","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 865 and 5536?\nAnswer: 27680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -426*a - 4*g = -423*a - 312, 4*g = -2*a + 204. What is the tens digit of a?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from iicctt. Give prob of sequence tc.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*o - 22 = -16. Let s be (-25)\/2*(-2 - -34)\/o. What is s rounded to the nearest 1000?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*m + 3*l + 15, 955*m = 957*m + 7*l + 71 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 428644 to the power of 1\/2, to the nearest integer?\nAnswer: 655","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = -5*k - 1. Suppose 0 = -2*y + 1 - 3. Let w be s(y). Let g(j) = w*j + 2 + 4*j - 3*j. Determine g(-2).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -195 + 66 = 5*y + 3*j, 5*y = j - 117 for y.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 124 divided by -8?\nAnswer: -31\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = -5*v. Let s be (-4)\/(-8) - 13\/2. Let u(r) = -10*r - r + 10*r. Let o(d) = 12*d. Let m(n) = s*u(n) - o(n). Determine m(z(i)).\nAnswer: 30*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9896?\nAnswer: 2, 1237","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = -1337*v - 20. Let y(z) = 5*z - 2. Determine h(j) - 9*y(j).\nAnswer: -1382*j - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1\/4 or -0.042?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 204 + -62423\/306. Find the common denominator of 37\/48 and g.\nAnswer: 2448","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 11*s**4 + 12*s**3 + 16223*s**2 - 282329271*s.\nAnswer: 132*s**2 + 72*s + 32446","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 7*j**3*n + 4*j*n + 28*j - 875*n - 127 with respect to j.\nAnswer: 21*j**2*n + 4*n + 28","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 4922 and 107.\nAnswer: 107","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 0, 6\/19, -24, 7.\nAnswer: -24, -1, 0, 6\/19, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 5733 + 643?\nAnswer: 6576","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -714*l**2 + 217*l - 2*l**4 + 80*l**3 - 316*l - 1665*l = 0. Calculate l.\nAnswer: -2, 0, 21","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7 - 3 - 2)*(-3*u - u - u) + 0 - u + 0 + (2 + 1 - 2)*(-u - 2*u + 4*u) - 4*u + 3*u + 3*u + 0*u - u + 2*u.\nAnswer: -7*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2667787?\nAnswer: 277, 9631","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = 36*z - 7. Determine t(0).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 15 + -11. Suppose l*k - k - 18 = 0. What is the units digit of k?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 f and 1 w when two letters picked without replacement from eaeeeeeefefeefffwae.\nAnswer: 5\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = 9*d - 3. Suppose 0 = 4*o - 4*q - 32, -2*q = -5*q - 12. Suppose 0 = r + 5*p + o + 4, -5*r + 4*p = -18. Give s(r).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 2 + 15 - 18 + 2*u**3 - 5*u**3 - 9*u + 7 as x*u**2 + y*u + m*u**3 + c and give c.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-2)\/(-6) + (-11)\/(-3). Solve -4*p = -5*u + 2*u + 17, t*u + 3*p = 6 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(104) - ((sqrt(104) - sqrt(104)*2*1) + sqrt(104)) - sqrt(104)*-2*-2)*3)\/(5*3*sqrt(128)*-5).\nAnswer: 3*sqrt(13)\/100","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -11090, -11089, -11088?\n\"Answer: q - 11091","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -93957 - -93954. Let h = 0.2 + 0.3. Which is the nearest to -0.2? (a) h (b) q (c) -64\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1355*j - 42120 = -2759*j for j.\nAnswer: 30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 28544 divided by -31424?\nAnswer: -446\/491","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*b - 4*b + 8. Solve 4 = -y - y + 5*w, 5*w + b = -4*y for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 164.32, 2, 3\/11?\nAnswer: 164.32","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = 92*s - 822. Calculate v(9).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1175, -5\/12, 4.3 in descending order.\nAnswer: 1175, 4.3, -5\/12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.2 + 205956161219752.\nAnswer: 205956161219752.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-2)\/8 + 10\/104. Let o = 0.04 - 1.04. Let n = 3 - o. Which is the third smallest value? (a) n (b) l (c) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6261403 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 43 + -31. Suppose 0 = 5*o - 3*r + 28, -3*r + 0 = -3*o - p. What are the prime factors of 2*(-6)\/o + (-358)\/(-4)?\nAnswer: 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in 1.6, -2, -23, -0.8, -3, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 99 and 121?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0 - 4487*z**3 + 0 - 2197*z**3.\nAnswer: -6684*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort 66, -1, -5110 in increasing order.\nAnswer: -5110, -1, 66","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = -9*s + 7. What is the tens digit of q(-16)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -0.04 and -823708171812.\nAnswer: -823708171812.04","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is (2\/(-4))\/((-2)\/4)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 471, 1495, 3659, 7533, 13687, 22691?\n\"Answer: 95*z**3 + 359*z + 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 347 + -892. Let l = 530 - w. What is the thousands digit of l?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -51 + 26 + 19 + 3*f to the form d + w*f and give w.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-5)\/(-1))\/(-5)*-1.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert -668 (base 15) to base 2.\nAnswer: -10110101000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 84412 is divided by 3012.\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 40143563 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -4, -7, -2, 45 in descending order.\nAnswer: 45, 5, -2, -4, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23*m = 26*m - 210. Suppose 2*a - m - 66 = 0. Let w = 115 - a. List the prime factors of w.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -5 + (-5 - -23 - 10) + 31.\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 1887818 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -29220 divided by -7305.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert 809.6836 nanometers to kilometers.\nAnswer: 0.0000000008096836","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -13*(130\/(-11) + 18\/(-99)). Calculate the highest common factor of r and 12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1121638 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: Four letters picked without replacement from xppxrmpkprmkkmxppx. What is prob of sequence kkrx?\nAnswer: 1\/1530","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = -5*k**3 - 8*k**2 - k + 5. Let f(n) = -n**3 + n**2 - n + 5. Calculate 3*f(b) - 3*u(b).\nAnswer: 12*b**3 + 27*b**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Determine z so that -5*z**3\/2 + 45*z**2\/2 + 25*z = 0.\nAnswer: -1, 0, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1.4 + -12.6. Let u = -13.5 - t. Which is the third smallest value? (a) -0.2 (b) -4 (c) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of ((-4 - -11) + -3)\/((-3)\/(-1995)) and 105?\nAnswer: 7980","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) be the first derivative of -195*f**2\/2 + 5*f - 336. Let j(x) = 186*x - 4. Let m(v) = -2*j(v) - 3*t(v). Differentiate m(h) with respect to h.\nAnswer: 213","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 28 - 27.86. Round o to 1 decimal place.\nAnswer: 0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or 2829\/6383?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = -6*y + 6. Let t(p) = 6*p - 7 + 2 - p. Let f = 2 - -2. Let g(i) = f*t(i) + 3*l(i). Differentiate g(m) with respect to m.\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19 = 5*y + 6. Let f = y - -5. Suppose f = 2*s - 17 - 33. What is the tens digit of s?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.004898635 rounded to 6 decimal places?\nAnswer: -0.004899","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express ((2 + 2 - 6)*(-16 + 16 + 6*r) + 7*r - 3*r - 5*r)*(558*r + 87*r**3 - 558*r) as s + y*r**4 + h*r**2 + o*r + w*r**3 and give y.\nAnswer: -1131","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 6719170*m**5 - 18050*m + 126 wrt m?\nAnswer: 134383400*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1758 + 1749.83. Round y to the nearest integer.\nAnswer: -8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -406 (base 13) to base 3.\nAnswer: -221021","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1962223 is divided by 99?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -112 - -112. Solve -2*j - 4*a = -7*a - 8, -5*a = u for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -109\/6 - -18. Let s = 3.03 - 0.03. Let h be (3\/6)\/(7\/(-2)). Which is the third smallest value? (a) h (b) v (c) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-21)\/14*-2*(-6)\/117?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -9.6 + 9.628. Let q = 0.027865 - l. What is q rounded to five dps?\nAnswer: -0.00014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 19*s**2 - 10*s**2 + 56626 - 56626 - 3754*s**3 - 9*s**2.\nAnswer: -3754*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -i**2 - 3*i - 3*i + 6*i + i + 2*i - 2 to the form q*i**2 + g*i + a and give q.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = 2*n**2 - 35*n - 20. What is m(18)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = -14*h - 2. Let z be t(-2). Solve 2*a - 4 = 0, 4*r + 6*a - a - z = 0 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((3 - 12) + 5)*3\/(-3). Suppose 5*a + 2*c - 26 = -10, -5*c + 7 = -i*a. Solve -z - 5 = -4*w + 2*z, 4*w = 2*z + a for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3354a5 (base 11) to base 14\nAnswer: dca26","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = -2*x**2 + 8*x - 3. Let m be p(6). Let q = 55\/2 + m. Let j be (-9)\/4 - (-8)\/4. Put -4, j, q in increasing order.\nAnswer: -4, j, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 157\/3036 and 5\/8472.\nAnswer: 2143416","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 0.2, -14, 4, -1 in descending order.\nAnswer: 4, 3, 0.2, -1, -14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence umum when four letters picked without replacement from {m: 17, u: 2}.\nAnswer: 1\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (102\/136)\/((-5)\/8 - -1). Suppose u*y - 2950 = -8*y. What is the units digit of y?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 284375785 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 3, b: 1, f: 1, u: 3, p: 1, n: 2}. Give prob of picking 1 u and 1 f.\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*a + 20 = -3*a. Suppose -a*o - o - 5*f + 40 = 0, -3*o - 5*f + 28 = 0. Determine d, given that 5*d**2 - o*d**2 + 3*d**2 - 4*d = 0.\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l - 9 = -j, -j + 3*j - 18 = 2*l. Let a be j\/(-1) - (0 - 3). Let p(q) be the third derivative of q**5\/60 + q**4\/4 - 5*q**3\/6 - 2*q**2. Calculate p(a).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = -z**2 + z. Suppose -3 = -4*v + 3*f, -10*v + 5*v + 5 = -5*f. Suppose -2*p - 3*p + 6 = -3*q, -2*q - 4*p + 18 = v. Give d(q).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -2530 + 2533.9945. Let p = 67 + -71. Let q = p + g. Round q to 3 dps.\nAnswer: -0.006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 5, -5, -2 in increasing order.\nAnswer: -5, -2, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -11*z + 323 - 367 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0*c + 0 - 3\/5*c**3 - 3\/5*c**4 + 6\/5*c**2.\nAnswer: -3*c**2*(c - 1)*(c + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 121133 (base 4) to base 16\nAnswer: 65f","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 s and 1 q when two letters picked without replacement from qgyqqgqgsgssyyqyay?\nAnswer: 5\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = -i**3 - 41*i**2 + 74*i + 66. Is v(-44) a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r + 487 = 4*g, 2*g = 6*g + 4*r - 492. Suppose 0 = -4*c - g + 424. What is the remainder when c is divided by (3\/(-21)*14\/4)\/(1\/(-38))?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1805620 and 20.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = -f - 3. Let k be d(-6). Suppose 0 = 2*g - k*g + 2. Suppose -3*s = g*s - 1855. Is s prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 668 - 3048*f - 668.\nAnswer: -3048*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = 179*y + 3244. What is c(-18)?\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -34*f*m - 2379123*f + 22886*m**4 with respect to m.\nAnswer: -34*f + 91544*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = -8*a + 99. Let m be u(12). What is the first derivative of -101*g**4 - 1819*g**m + 102 + 1819*g**3 wrt g?\nAnswer: -404*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -38 = 5*s - 5*h + 3*h, -4*s - 40 = -4*h. Let v(f) = -17 + 6*f + 18*f**2 + 25*f**2 + f**3 - 34*f**2. Is v(s) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f*f\/(f*f\/(f**(9\/7)\/f)))**(2\/33)*(f*f**(4\/9))**(-31) assuming f is positive.\nAnswer: f**(-31019\/693)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-2)\/6)\/((-1)\/12). Suppose 3*z = -5*o - 0 - 12, 0 = 3*o. Let f be (z\/5)\/((-2)\/10). Solve 0 = -x*d + 8 + f, 0 = -3*h + d - 6 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -14330223 (base 6) to base 15\nAnswer: -9b4e3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 810507.61 rounded to the nearest one hundred thousand?\nAnswer: 800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = 16640*y + 85. Let v be s(25). Suppose 22*u - v + 118579 = 0. Is u composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1557.3*3127\nAnswer: 4869677.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 468143 is divided by 16?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -402 - -397. What is the closest to 5 in i, 1\/6, -1, 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -112*c + 4*n - 40 = -111*c, -3*c + 4*n - 80 = 0 for c.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a = -c + 6, -6*c + 2 = -2*c - 3*a. Let d be ((-10)\/4)\/((-1)\/c). Suppose d*l - 4*v = -2*v + 74, -v - 30 = -2*l. What is the units digit of l?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -552 times 3?\nAnswer: -1656","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 456 - 229 - 227 + 11*w.\nAnswer: 11*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7627190 is divided by 2542394?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 13 (base 6) to base 15\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(68) + -1)*2 + -1)**2.\nAnswer: -24*sqrt(17) + 281","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 0 - -4 - 1 - 0. What is the remainder when (1 - 25\/u)*-21 is divided by 40?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -56*x**2\/5 - 2*x\/5 = 0 for x.\nAnswer: -1\/28, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify f**20*f\/f**(-2\/9)*f assuming f is positive.\nAnswer: f**(200\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -2\/3, 5, -0.3 in decreasing order.\nAnswer: 5, -0.3, -2\/3, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -26*f**4 - 382*f**3 + f**2 - 31*f + 37?\nAnswer: -312*f**2 - 2292*f + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -50.14 - -55.14. Sort 27, -0.4, 4, f, -3\/7 in increasing order.\nAnswer: -3\/7, -0.4, 4, f, 27","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4564 divided by -6.\nAnswer: -2282\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from nclglcmkmcmcglc. Give prob of picking 1 l and 1 g.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((1\/63)\/((-624)\/3640))\/((-21)\/((-336)\/20))?\nAnswer: -2\/27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 3821, 7587, 11353, 15119?\nAnswer: 18885","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -53 at most -68?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 278664?\nAnswer: 2, 3, 17, 683","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Add together -0.3 and -14098099680.\nAnswer: -14098099680.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = 3*u - c - 1, 3*c - 8 = -4*u. Suppose -s = -2, -s + 3*s + 6 = u*i. Suppose 1 = -2*g + 3*w + 12, i*g - w - 8 = 0. Which is smaller: g or 3?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = 120*z**3 - 40*z - 39. What is p(-1)?\nAnswer: -119","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -5346, -4363, -3366, -2355?\n\"Answer: 7*u**2 + 962*u - 6315","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = -2*l**2 + l - 8. Let p be n(0). Which is the smallest value? (a) -0.4 (b) p (c) -2\/13 (d) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -8866, -17673, -26478, -35281, -44082, -52881?\nAnswer: -61678","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20*f - 46*f = -9*f - 5389. What is the remainder when f is divided by 100?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j - 30 = -7*j. Suppose -3*k + 6 + 24 = 0. Calculate the highest common divisor of j and k.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9270 = -1392*v + 877*v for v.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -83*k + 220 = -73*k. What is the second derivative of -88*h + 21*h + k*h**4 + 39*h**4 wrt h?\nAnswer: 732*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 258117\/1528 bigger than 169?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -i - 46 + 45 = 0 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 16802, 16794, 16782, 16766, 16746, 16722?\nAnswer: 16694","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 796*r - 788*r = 50680. What is the tens digit of r?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 3\/11 (b) -2\/9 (c) -1 (d) -0.028\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 243 and 52326.\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15*p - 165 - 766 = -c - 104 + 32, -26*p + 1494 = 3*c for p.\nAnswer: 57","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 990, 793 in descending order.\nAnswer: 990, 793, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.9 - 0.8. Let h = -11.9 - g. Let u = 8 + h. What is the second smallest value in 3, u, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + -4 + (1 + sqrt(108))*4 + -4 + sqrt(363)*-1 + -1.\nAnswer: -3 + 13*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 2133a (base 14) to base 16\nAnswer: 13958","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 5 + (-1 - -1) + -1. Suppose 0 = -0*y + p*y. Suppose y = 2*f - 7*f + 5. What is the units digit of f?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 l when three letters picked without replacement from llltltttlttttt?\nAnswer: 5\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4\/1*(20\/16 - 2)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or 2\/27637?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify o\/o**(-9)*(o*o\/o**18*o)\/o assuming o is positive.\nAnswer: o**(-6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor -9*h**2\/2 - 372*h - 7688.\nAnswer: -(3*h + 124)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 5042948?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = 115736*l. Let t(p) = -65*p**2 - 2*p. Give y(t(x)).\nAnswer: -7522840*x**2 - 231472*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(675)*1*2 + sqrt(675) + sqrt(675))\/(-1*(sqrt(9) + sqrt(54)\/(sqrt(6) + (sqrt(6) - (sqrt(96) + sqrt(6) + sqrt(6)) - sqrt(6))))))**2.\nAnswer: 1875","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 3478 divided by -1?\nAnswer: -3478","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -73 + 108. Suppose -3*w + 7 - 23 = 2*j, -5*j = 5*w + x. Let l(s) be the second derivative of s**4\/6 + s**3\/6 + s**2\/2 - s. Give l(w).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -i**3*o**3 - 6*i**3*o**2 + 6*i**3*o - 8*i**3 + 17*i*o**6 - i*o**3 wrt o?\nAnswer: -6*i**3 + 2040*i*o**3 - 6*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = -52*s**2 - 853*s - 334. What is f(-16)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -23111 + 23111. Solve 0 = -5*x - s - 15 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) be the third derivative of -37*m**2 + 0 + 0*m + 0*m**3 + 1\/60*m**5 + 0*m**4. Let g(c) = -33*c. Determine j(g(y)).\nAnswer: 1089*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -94*d**2 - 117*d**2 + 228*d**2.\nAnswer: 17*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1.6942 - 974.4058. Let p = 976 + d. Which is the closest to p? (a) 14 (b) 1 (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = 46*x**3 + 4*x**2 - 49*x - 101. Calculate b(-2).\nAnswer: -355","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in eleven tenths of a century?\nAnswer: 110","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 29758190?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 134358 and 7056.\nAnswer: 294","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:13 PM and 7:52 PM?\nAnswer: 279","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 367*a + 100250 + 30238 - 26066 = 1325*a for a.\nAnswer: 109","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.072 - 3.072. Which is the third biggest value? (a) q (b) 0 (c) -1\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 23171259?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a + 36 = a. What are the prime factors of (a - -2)*3\/6?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 706 minutes before 3:45 AM?\nAnswer: 3:59 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 84 and 192.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = -34*n - 3. Let i(f) = f + 1. Let j(k) = -i(k) + p(k). Calculate the lowest common multiple of 2 and j(-2).\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 0.1058938 years?\nAnswer: 0.01058938","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.6, 0, -2\/11 in increasing order.\nAnswer: -0.6, -2\/11, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -200 - -100. Let y be -2 - -2 - (-3 + 3). What are the prime factors of (3 - y)\/((-15)\/l)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 2 (b) 0.2 (c) -1 (d) 5 (e) 20 (f) -9 (g) 0.01965\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*v - 4*u - 4 = 0, 53 = -4*v + 5*u + 55 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -43777*l*m**3 - l*m*q**2 - 4*l*m + 167*l - 2*m**3*q**2 + 2*m**2 wrt m.\nAnswer: -262662*l - 12*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = -i**2 + i - 1. Let u(a) = -15*a**3 + 11*a**2 + 15*a - 15. Let p(s) = 7*s**3 - 5*s**2 - 7*s + 7. Let x(k) = -13*p(k) - 6*u(k). What is -j(f) + x(f)?\nAnswer: -f**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 19980397 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 2410\/7 + -10641\/28. Let c = g + 36. What is the third biggest value in 3, -0.3, c?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2516 (base 8) to base 10\nAnswer: 1358","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8506004 + 40423996 = -21*l. Round l to the nearest one million.\nAnswer: -2000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 33952 or 36392?\nAnswer: 36392","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: (-1 - (-20)\/32) + 261\/(-72)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -70 - ((0 - 17) + (8 - -17 - 23)).\nAnswer: -55","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 4248\/(-19116)*(-3)\/(-64)*-6\nAnswer: 1\/16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 1003 to the power of 1\/2, to the nearest integer?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -48\/45313 and 50\/219?\nAnswer: 9923547","meta":{"dup_signals":{},"source":"numbers__lcm_test"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = b**2 + 2*b**2 - b**2. Let d(f) be the second derivative of -5\/6*f**3 + 0 + 5*f + 0*f**2. What is d(w(z))?\nAnswer: -10*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -116 - -117. Let d = -0.1056 + -1.8944. Sort 0.15, d, w in increasing order.\nAnswer: d, 0.15, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 91 divide 4841301?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 4319433530 to the power of 1\/2, to the nearest integer?\nAnswer: 65722","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d + 3*t + 163 = 0, 62 = -3*d + d + 2*t. Let u = -27 - d. Suppose i = u*q - 20, 0 = 2*i - 7*i - 2*q + 35. What is the nearest to 1\/3 in 23, -0.4, i?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = m**2 + 1. Let r(p) = -6*p**2 - 4*p - 3. Calculate -r(c) - 4*t(c).\nAnswer: 2*c**2 + 4*c - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 151 + 122 + -68 + -182?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = n + 4*o + 1, n + 3*o = 0. Suppose n*a = 2*a - 3, -252 = -3*l + 5*a. Is l a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -3 - -8. Let p(s) = s**2 + s - 7. Is p(c) a multiple of 23?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -9 + 9.5. Let b(s) = s**3 - 6*s**2 - 7*s + 2. Let l be b(7). What is the closest to -5 in w, l, -3\/5?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20*m - 33*m + 87217 = 0. Is m a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = -3*i. Let c(f) = -41*f + 41*f - 4*f**2. What is c(u(m))?\nAnswer: -36*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 12269\/7 - 1758. What is the common denominator of 2\/121 and d?\nAnswer: 847","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*b - 27 + 2 = 0 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 356502 + 98743 = 3*x + 5*n, -5*n = -2*x + 303455. What is x rounded to the nearest 10000?\nAnswer: 150000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 1003, 1008, 1013, 1018, 1023?\n\"Answer: 5*m + 998","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-3*sqrt(288) + sqrt(288))\/sqrt(8))\/(-3*sqrt(147)*2).\nAnswer: 2*sqrt(3)\/21","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = 72*j - 624. What is c(2)?\nAnswer: -480","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 9793 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort 157, -3, -21 in descending order.\nAnswer: 157, -3, -21","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 142 + -139. What is the smallest common multiple of 93 and g?\nAnswer: 93","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d - 6 = -3*w, 4*w - 3 - 9 = 0. Suppose 2 = y, -d = -2*a + 5*a - 5*y. Calculate the common denominator of 61\/2 and -2 + (84\/(-10))\/a.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -12*3\/36*4\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -2949 - -20585\/7. Let z = o + 123\/14. Let p be 4\/10 - (-58)\/(-70). Is z at most as big as p?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = 4*s + 3. Let m be k(5). Let h = m + -12. Is h a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v = 5*v + 2*t + 26, 2*t - 10 = 0. Let l(m) = m**2 + 8*m - 12. What is l(v)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 162870 is divided by 16268?\nAnswer: 190","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -5\/447? (a) -1 (b) 5 (c) -0.34 (d) -0.01\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*t + c = -39, -16*c = -3*t - 12*c - 28 for t.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = -2*y + 3. Let x(m) = -m + 1. Suppose -2*i + 42 = -5*k, 0 = 3*i - k + 8 - 32. Determine i*x(j) - 2*u(j).\nAnswer: -2*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = -a**3 + 45. Let m(k) = -k. Let z be m(8). Let p be 0\/(z\/(-2 + -2)). Does 10 divide x(p)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 62 minutes after 2:12 AM?\nAnswer: 3:14 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {o: 1, v: 1, a: 1, c: 1, i: 1}. What is prob of picking 1 i, 1 o, and 1 c?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w = -5*k - 7270, -6*w = -8*w + 4*k - 2908. Let l = w - -15996\/11. Suppose -8\/11 + 6\/11*m + l*m**2 = 0. What is m?\nAnswer: -4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10000221220 (base 3) in base 7?\nAnswer: 336123","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j = -5*d - 17212, 5*j + 7500*d - 28662 = 7496*d. Is j a multiple of 94?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*w + 3*w - n - 10, -5*w = n - 32. Let s = 17 - w. What is the tens digit of s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1961?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.06412 rounded to 2 decimal places?\nAnswer: -0.06","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 844.\nAnswer: 2, 211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 21 - 19 - (-3 - 93\/(-18)). Put 1\/2, x, -0.213 in descending order.\nAnswer: 1\/2, x, -0.213","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 48 - 46. Let p(a) = 4*a - 1. Let k(w) = 9*w - 3. Calculate b*k(x) - 5*p(x).\nAnswer: -2*x - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 73686846 to the power of 1\/2, to the nearest integer?\nAnswer: 8584","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_test"},"subset":"dm_maths"} +{"text":"Question: Let v = 9256 - 4347. What is the units digit of v?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 91359629.\nAnswer: 79, 1156451","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -66, -57, -34, 9, 78, 179?\n\"Answer: q**3 + q**2 - q - 67","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a + 10 = 2*h, -a - 31 = -h - 5*a. Is 11 a factor of 2800\/15 + 2 + h\/(-9)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-4756)\/(-54) - (-13 - 1 - 16720\/(-1188)). Solve -11 = 11*u - c for u.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n\/(n*n*n*n**(2\/3)\/n*n))**(-1\/11)*(n**2)**47 assuming n is positive.\nAnswer: n**(3110\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round -6357.2237 to the nearest one thousand.\nAnswer: -6000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) be the third derivative of c**6\/120 + c**5\/6 + c**4\/4 - 13*c**3\/6 + 4*c**2. Is o(-9) a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*u**2\/7 - 5078036*u\/7 - 10156088\/7.\nAnswer: 4*(u - 1269511)*(u + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) be the second derivative of m**4\/12 - 4*m**2 - 61*m. Let v(s) = -s**2 + 8*s + 3. Let j be v(5). Let k be 4\/j - (-2)\/(-9). Give t(k).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 less than -0.0117663?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = 98*r - 13466. Give a(83).\nAnswer: -5332","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5140433.\nAnswer: 701, 7333","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -3355 divided by 305?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -14a + -aa7?\nAnswer: -1146","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = -26*s**2 - 7. Let g(o) be the first derivative of 8*o**3\/3 + 2*o + 219. Let i(y) = -2*d(y) - 7*g(y). Let k(j) = j - 4. Determine k(i(w)).\nAnswer: -4*w**2 - 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 88\/(-1320) - (-929584)\/60 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 9 - 9. Let u = 6 + o. List the prime factors of u.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {i: 2, t: 4}. Give prob of picking 4 t.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (65090\/(-29715))\/(2\/(-14)).\nAnswer: 46\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -1254 and -84.\nAnswer: 105336","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-9 - -10)*(-2 - -1). Let m = i - -4. Let l be (-28)\/(-6) + 2 + (-48)\/18. Sort l, -1, m in increasing order.\nAnswer: -1, m, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11022*s + 342175*s**3 - 11022*s.\nAnswer: 342175*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*u + 9*u + 588 = 0. What is the remainder when u is divided by 33?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + -1*(0 + sqrt(3) + (-1 + sqrt(3))*3)**2 + 4 + 4.\nAnswer: -53 + 24*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -27 + (5 - ((1 - -5) + 0 - 4))?\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is ((42\/90)\/7)\/((-1)\/(-3))?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 20*1\/(-48)*(-153)\/85.\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = -5*q**3 + q**2 + q - 2. Let g(n) = 16*n**3 + n**2 - 12*n - 5. Let s(y) = -g(y) - 3*o(y). What is s(-5)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-15)\/(-18)*24\/(-36))\/((-10)\/(-12))\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 468 and 386334.\nAnswer: 234","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 2360 - 2358. Let i = 6 - 6. Suppose i*q = -3*q. Solve -y*w + 3*w - 3 = q for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v*v**(-6\/5)*v)\/v)**(-50) assuming v is positive.\nAnswer: v**10","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 44a4 (base 13) to base 3\nAnswer: 111011111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 3198.84*0.2\nAnswer: 639.768","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 530037?\nAnswer: 3, 67, 293","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = 2*f - 3. What is c(4)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -6, 14, -49, 2\/17, -0.22, 2?\nAnswer: -0.22","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -6 - -10. Suppose -1 = f - 2*w, -5 = 4*f - 3*w + g. Let o be 2\/f*3\/1. Which is smaller: o or -1?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = 17*m + 27*m - 7 - 7*m**2 - 46*m. Let k(l) = l**2 + 1. Determine 6*k(t) + x(t).\nAnswer: -t**2 - 2*t - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor y**2\/3 - 100\/3.\nAnswer: (y - 10)*(y + 10)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 680.\nAnswer: 2, 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 779870 is divided by 18135.\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*b + 21 = 4*w, 451*b + 3*w = 456*b + 7 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = 894*h**3 + 5*h**2 + 33*h - 127. Is n(5) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -382 + 785. What is the units digit of w?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = -4*d - 3. Suppose 8*u - 630 = -614. Let z = -2 + 4. Suppose 10 = -z*n - 0. Let g(k) = -2*k - 1. Calculate n*g(s) + u*j(s).\nAnswer: 2*s - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is -35104 >= -35339?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 34 a factor of 1221?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 36\/(-9 + -3 - -10). Let x = 90 + -628\/7. Sort x, b, -1\/5.\nAnswer: b, -1\/5, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) be the third derivative of -o**6\/120 + 3*o**5\/10 - 17*o**4\/24 - 3*o**3 - 2*o**2 + 465*o. Calculate k(17).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -690 by 138.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) be the first derivative of m**4\/4 - 4*m**3\/3 + m**2 + 2*m - 4. Let t be h(4). What are the prime factors of t\/(-25) + 122\/5?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -76 - -31. Suppose 94 = -3*c - 47. Let f = k - c. Solve -v - f*v + 15 = 0 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s + 28 = 28. Which is the biggest value? (a) s (b) 0.34 (c) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-662)\/2979)\/((-5)\/9).\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 119\/3? (a) 69 (b) 1.8 (c) -1\/13\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 3 or 80\/49?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 111011101111110 - 1111000?\nAnswer: 111011100000110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put together -0.6 and 0.285314.\nAnswer: -0.314686","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vcvc when four letters picked without replacement from {h: 8, f: 1, c: 5, x: 1, v: 2}.\nAnswer: 1\/1428","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q + 4*q = 36. Let d = q + -11. Suppose -2*g + 9 = d. Solve 1 - 17 = g*b for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3*u + 0*u + 11*u)*(-2 - 2 + 2) + 0 + 0 + u - 5*u + 3*u + 3*u + u - u - u as y + s*u and give s.\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9 + 8 + 747*h**2 - 17 - 2*h**3.\nAnswer: -2*h**3 + 747*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 5775 and 10736275?\nAnswer: 275","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 less than -37?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1 - -0.9. Let z be (-1083)\/(-120) + -10 + 9\/24. Sort z, x, 0 in descending order.\nAnswer: 0, x, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 z when three letters picked without replacement from {j: 2, r: 9, z: 2}?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1.9 + 0.9. Which is the nearest to 0? (a) d (b) -0.3 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z + b + 1253 = 0, -39*z + 43*z = 5*b - 1151. Suppose w + 3*w = -8. Sort z, w, 5 in descending order.\nAnswer: 5, w, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((o\/((o**7\/o)\/o)*o)\/o)\/(o*o**(2\/9)*o))\/(o**(-1\/11)*o**(-8)))**3 assuming o is positive.\nAnswer: o**(185\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b = -5*j + 200, j + 120 = 4*j - b. Let w be 3 - (1364\/j)\/11. Which is smaller: w or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 7674117653?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pcy when three letters picked without replacement from {y: 1, c: 1, s: 3, p: 11, q: 2}?\nAnswer: 11\/4896","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 970271 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) be the third derivative of w**5\/60 + w**4\/6 - 5*w**3\/3 + 3*w**2. Let p be c(-7). Find the third derivative of 11*x**4 - p*x**4 - 2*x**2 + 4*x**5 wrt x.\nAnswer: 240*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 1646697*n**4*w**2 - 13*n**2*w + 47857*w**2 wrt n?\nAnswer: 39520728*n*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s - 9 = 2. Suppose 5*q + 2*f + 57 - 61 = 0, -2*q + 4*f - 32 = 0. Let n(t) = t. Let z(r) = -r**3 - r**2 + 4*r. Give q*z(u) + s*n(u).\nAnswer: 2*u**3 + 2*u**2 + 3*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1822*z + 0*z**2 + z**2 - 893*z - 883*z - 15 + 7 to the form r*z + p + t*z**2 and give r.\nAnswer: 46","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 395 divided by -1.\nAnswer: -395","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 41736?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 66\/10362 + (-11524)\/157785?\nAnswer: -1\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:48 AM and 8:33 PM?\nAnswer: 585","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 120 a factor of 60050?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 183724\/5 - 36750. What is the nearest to -1\/3 in 4, i, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence drw when three letters picked without replacement from dshwruh?\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -91*j - 37 - j**3 + 91*j.\nAnswer: -j**3 - 37","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -34*d - 1 - 4*d + 16.\nAnswer: -38*d + 15","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 26 - ((-38340)\/165)\/(-9). Find h, given that 2\/11*h - 6\/11 + 6\/11*h**2 - d*h**3 = 0.\nAnswer: -1, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 84*i**2 - 5*i**4 + 12*i**4 + 20*i**4 - 102*i**3 + 0*i**4 + 24*i.\nAnswer: 3*i*(i - 2)**2*(9*i + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 r and 2 f when three letters picked without replacement from zzvjrfjrrrfzrgfrr.\nAnswer: 21\/680","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = r**3 - 16*r**2 + 33*r - 13. Determine f(13).\nAnswer: -91","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor 34\/3*k - 12 + 2\/3*k**2.\nAnswer: 2*(k - 1)*(k + 18)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3 (base 11) to base 10\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 767 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*p + 12 = -2*g, -4*p + 6*g + 43 - 71 = 0 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3 - r + 3)*(29*r**3 + 27*r**3 - 87*r**3) to g + p*r**2 + w*r + l*r**3 + v*r**4 and give v.\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 172.\nAnswer: 2, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1\/229 + -4353\/458. Find the common denominator of s and (-33)\/10*18\/12.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*d + 4819 + 46743 = 0. Is d prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2308?\nAnswer: 2, 577","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -76 = 6*r - 10*r. Let q(b) = b**3 - 18*b**2 + b - 15. What is the tens digit of q(r)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1409525749 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 21335056 (base 7) in base 10?\nAnswer: 1824115","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2136*q - 1184 + 4253*q - 2121*q)*(-2*q**3 - 2*q**3 + 2*q**3) in the form x + b*q**2 + o*q**4 + f*q + i*q**3 and give o.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = o - 1. Let s be k(4). Suppose 14 = 2*a - 3*x + 1, 0 = -3*a + s*x + 12. Put 4, a, 0 in descending order.\nAnswer: 4, 0, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r + 5*s - 755 = 0, -2*r + 4*s + 1501 = 5*s. What is the remainder when r is divided by 233?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 758869122?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-10*a + 19 - 19)*(8*a - 1168*a + 226*a - 1339*a + 92*a).\nAnswer: 21810*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in one tenth of a litre?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4345 is divided by 32?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 43\/2 of a microgram in nanograms?\nAnswer: 21500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n + 12 = 5*z, 2 = -n - 3*z + 18. Let d be (12\/378)\/(n\/36). Factor d*f - 10\/7*f**2 + 4\/7*f**3 + 4\/7.\nAnswer: 2*(f - 2)*(f - 1)*(2*f + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 1\/4 (b) -4 (c) 3 (d) 7 (e) 119 (f) -9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is (-78*45\/1350)\/(1*-3*(-1)\/(-5))?\nAnswer: 13\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 876 + 2?\nAnswer: 878","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 - 14 - (-17 - 1).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = -2*v**2 - 5*v + 3. Let b be (5 + 3)*19\/38. Let m(s) be the third derivative of s**5\/30 + s**4\/4 - 2*s**3\/3 - s**2. Determine b*m(z) + 5*t(z).\nAnswer: -2*z**2 - z - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -11710.9735 rounded to the nearest integer?\nAnswer: -11711","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-24)\/164 - 0)\/(13\/((-39)\/18) + 9).\nAnswer: -2\/41","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f = -34*v + 31*v + 107, -5*f = 2*v - 46. Sort 1\/3, v, 7 in decreasing order.\nAnswer: v, 7, 1\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p + 21 = 0, 12*n = 9*n - 4*p + 178. Does 10 divide n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l + 8 = 6. Solve 0*p = -l*p + 3*t + 19, -2*p = -4*t - 22 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -44966*r**3 - 39*r - 24.\nAnswer: -269796*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 14 minutes after 2:19 AM?\nAnswer: 2:33 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 7 + -5. Let h = v - -1. Suppose h*c - 27 = -3. What is the units digit of c?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -107236 divided by 38\nAnswer: -2822","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 1827*f + 1 - 1 + 2404*f + 0 + 562*f**3 wrt f?\nAnswer: 3372*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.02 and 2453673.\nAnswer: -49073.46","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 3\/((-162)\/(-4))*((-4698)\/45)\/(-29)\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = -9*i + 263. Let z be u(29). Solve -z*q - 1 = 3, -2 = 4*l + 3*q for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-173)\/1557)\/((-11)\/(-12) - 1).\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((246\/1107)\/((-28)\/3))\/(3\/(-198))?\nAnswer: 11\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 95999*b + 36874*b - 342351*b - 241750*b.\nAnswer: -451228*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -47, -79, -97, -95, -67, -7, 91?\n\"Answer: t**3 + t**2 - 42*t - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -2\/9, 0.05, 3, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -4.98 - 0.02. Let c = -129 + 128. Let i = -1 + 0.9. What is the second smallest value in c, i, b?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = 803*b**3 + 8*b**2 - 15*b + 9844. Let q(x) = 267*x**3 + 3*x**2 - 6*x + 3281. Let k(l) = -3*a(l) + 8*q(l). What is the derivative of k(n) wrt n?\nAnswer: -819*n**2 - 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 21717 and 570?\nAnswer: 217170","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5709 + 1916 + 1907 + 1886 + 3288*d**2.\nAnswer: 3288*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor -245*c**2 - 3648520*c + 297840.\nAnswer: -5*(c + 14892)*(49*c - 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -2 + -2. Let h be 10\/(-40) + (-1)\/y. Let j(q) = -2*q**3 + 3*q + q**3 + 4 - q**2 + 2*q**2 + h*q**3. What is j(3)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 8, 27, 62, 119, 204, 323, 482?\n\"Answer: i**3 + 2*i**2 + 6*i - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 5, 18, -4?\nAnswer: 18","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = 45*k + 730. Calculate h(-16).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -626 + 552 - (-1 + (-3 - -6) + 8)\nAnswer: -84","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -45 + 47. Suppose 0 = -2*y - z*i + 4 - 12, 0 = -5*y + i + 10. Solve 5*c + g - y = 0, c - 3*g = g - 4 for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) be the second derivative of -5*y**3 - 76*y. Let q(g) = 3*g. What is c(q(d))?\nAnswer: -90*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*m = 13*m + 230. Does 46 divide m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2\/5 or 635923?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 5 (b) 2\/13 (c) -5 (d) -4 (e) 62\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1.8 or -15\/137707?\nAnswer: -15\/137707","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is (1030\/(-90) - -11)\/(10\/(-20))?\nAnswer: 8\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = -7*t - 3 + 20*t + 6. Is 11 a factor of y(2)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -15 - -23. Calculate the remainder when 3 is divided by 28\/n + (-1)\/2.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = -14*n + 6. Let p(l) = 42*l - 17. Let a = -7 + 1. Let z(f) = a*p(f) - 17*y(f). Let h(q) = -53015383 + 53015383 - q. Give z(h(g)).\nAnswer: 14*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) be the third derivative of h**6\/40 + h**5\/60 + h**4\/8 - h**3\/6 + 8*h**2. Is p(2) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -467509 by -292.\nAnswer: 467509\/292","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -101.8 or 0.10837?\nAnswer: -101.8","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(65)*-1*4)\/(sqrt(100)\/sqrt(5)) + (1 + (sqrt(13) + 0)**2 - (sqrt(13) + 1 + -1)**2) + -4.\nAnswer: -2*sqrt(13) - 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 37.512093688 + -37.512. Round x to 6 decimal places.\nAnswer: 0.000094","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -1092*g**3 + 136 + 71 + 1216*g**3 with respect to g.\nAnswer: 372*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 2072 and 5704734?\nAnswer: 22818936","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*g - 20 = -10 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*a**3 - 3028*a**2 - 68068*a - 377036.\nAnswer: 4*(a - 779)*(a + 11)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((z*z**(2\/23)*z)\/z*z**28)\/(z**(-2\/11)*z)**(-3\/13))**(-29) assuming z is positive.\nAnswer: z**(-2792352\/3289)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -45 - (-1 + (-79 - -56))?\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + -3 + sqrt(1100)*-2 + -2 - ((sqrt(396) + -2)*1 - (sqrt(396) + -2)*1).\nAnswer: -20*sqrt(11) - 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -580 = -2*b - 162. Calculate the highest common factor of b and 11.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-5)\/15)\/(2\/(-12)*1).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.15 + 0.05. Let o be -223 + -2 + -1 + 0. Let b = o + 2484\/11. Which is smaller: d or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -1243, -1234, -1231, -1234, -1243, -1258, -1279?\n\"Answer: -3*w**2 + 18*w - 1258","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-10)\/4*(-20)\/(-25). Let q be 6\/(n\/(-1)) - -113. Suppose -106 - 47 = -4*c + w, -w = -3*c + q. What is the tens digit of c?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**33)**(-4\/3) assuming t is positive.\nAnswer: t**(-44)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = -c**2 - 15*c - 8. Let m be b(-6). What is the units digit of 5\/(-15) - m\/(-3)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 k and 1 v when two letters picked without replacement from ddvkdkvkkbbdvdd.\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 7383985 to the power of 1\/2, to the nearest integer?\nAnswer: 2717","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 15 and 4470735?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0.05 (b) 3\/5 (c) -278884\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1.93*0.2.\nAnswer: -0.386","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1152707 divided by -139.\nAnswer: 1152707\/139","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t = -0*t - 3*d - 1213, 0 = 2*t + d - 599. Suppose -4*w = -t - 75. Suppose 6*x = 4*x + w. Is x prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 731 or 733?\nAnswer: 731","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 25634452 (base 7) to base 9\nAnswer: 4363634","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 106\/(-2) + -6*8\/(-48). Let d = 499 + c. What is the units digit of d?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1583 or -1585?\nAnswer: -1583","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -113\/624 and -73\/78?\nAnswer: 624","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 33642 and 3654.\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1715 + -1711. Calculate the smallest common multiple of g and 180.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = 103*n**3 - 8*n**2 + n - 9. Let m(o) = 292*o**3 - 24*o**2 + 4*o - 25. Let a(r) = 6*m(r) - 17*p(r). Let l = 14 - 7. Determine a(l).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) be the first derivative of 4*o**3\/3 + o**2\/2 + 4*o + 19. Let v(s) be the first derivative of -5*s**3\/3 - s**2 - 5*s + 3. Determine 3*h(q) + 2*v(q).\nAnswer: 2*q**2 - q + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1259?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = w - 2. Let n(k) = 4. Let p(j) = 4*a(j) + 2*n(j). Let h(f) = -8*f. Calculate h(p(c)).\nAnswer: -32*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0 + 0.2. Let g = 15 - 15.3. Which is the closest to g? (a) t (b) -2\/19 (c) -1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-y + 1 - 1)*(-5*y**2 + 6*y**2 - 3*y**2) - 3*y**3 + 2*y**2 - 2*y**2)*(-4 - 25 + 8).\nAnswer: 21*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3276)\/(-364) + (-9 - (0 - -2))?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 329771 and 13?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Work out 13438 * -0.47.\nAnswer: -6315.86","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 98677, 198587, 298497, 398407?\nAnswer: 498317","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 83444169 is divided by 20861042.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(540) + 2*sqrt(540))\/(sqrt(405) + sqrt(405)*1))**2*2 - 6*(2 + (sqrt(192) - (sqrt(192) + 0 + sqrt(192) + -2))).\nAnswer: -18 + 48*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(6\/17))**(-2\/43)\/(n*n**(7\/8)*n\/n**(2\/5)*n) assuming n is positive.\nAnswer: n**(-102089\/29240)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1374?\nAnswer: 2, 3, 229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l = o - 6, -5*l - 15 = -2*o + 19. Let r be (-2)\/(-1 - 1)*(34 + -34). Solve r = -3*i + 2*h - o, -13 = 3*i + 3*h - 1 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5248 a multiple of 164?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -29\/8848 and 43\/2765.\nAnswer: 44240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -241 = -4*q - 25. Is 9 a factor of q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 264 + -256. Solve -5*u + 3*l + 10 + 9 = 0, -u + 2*l + v = 0 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = z**4 + z**3 + z + 1. Let r(b) = 4*b**4 - 2*b**3 + 4*b**2 + 3*b + 3. Let d(q) = 3*l(q) - r(q). Factor d(m).\nAnswer: -m**2*(m - 4)*(m - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 183 is divided by 43?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1259451 is divided by 629715?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + 0 + (sqrt(34)\/sqrt(2))**2.\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -258117518 minus 1081471?\nAnswer: -259198989","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 2 - 4)*(2 - 4 + 4)*(-2*r + r - 2*r).\nAnswer: 18*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (117\/(-9) + 7)*2\/(-4).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u + 0*s + 3*s = -2, 5*u - 5*s = 10. Let x be (-2 + u)\/(-6)*-12. Suppose x*b = -g + 28, -4 = -g - 8. What is the units digit of b?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = 3*k**3 + 5*k**2 - 9*k - 2. Let w be u(6). Let z be ((-2)\/(-4))\/(2\/w). What is z rounded to the nearest ten?\nAnswer: 190","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -5 - ((-50)\/175 - (-94)\/(-14)). Solve -4*k = c*v + 26, 2*v + 17 = 2*k - 3*v for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 361, 383, 485, 709, 1097, 1691, 2533, 3665?\n\"Answer: 7*i**3 - 2*i**2 - 21*i + 377","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (14\/(-8))\/((-2)\/8) - 3. Suppose 3*n + 2 - 5 = 3*x, -10 = -k*n + 2*x. Solve 5*v - 5*l + n*l = -7, -l = 3*v + 1 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -15*o**2 + o**2 + 8*o**2 + 4*o**2.\nAnswer: -2*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 109008182149 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b - 19 = 3*d - 2*b, 0 = -5*b - 10. Suppose -18 = -4*m - 86. Let a = d - m. What are the prime factors of a?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a - 2*a + 7 = 0. Suppose 1578 = -a*b + 4*b. Let o = b - -15252\/29. Which is smaller: -1 or o?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z = -3*x + 24, -50 = 4*z - 9*x + 4*x. Let s = z - -19. Which is greater: s or 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) be the third derivative of -c**6\/1980 + c**5\/660 + c**4\/66 - c**3\/2 + 3*c**2. Let j(i) be the first derivative of z(i). Determine n so that j(n) = 0.\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o - 13 = -l, 13*o - 10*o + 3 = 3*l. Solve -3*z + o*z = 0 for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/21? (a) 32 (b) 0.24 (c) -1\/5 (d) 1.7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3\/59 in 3, -2, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert -48 (base 12) to base 7.\nAnswer: -110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.03 - 0.069. Let c = y + 35.039. Let f = 34 - c. What is the smallest value in 4, -2\/9, f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((z*z*z*z**(-11)*z*z)\/z*z*z**(1\/2)*(z**(2\/13)\/z)**(-2\/35))**(2\/9))**(-2) assuming z is positive.\nAnswer: z**(9922\/4095)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 554324, 553889, 553454, 553019?\nAnswer: 552584","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000013633251 to 7 dps.\nAnswer: -0.0000136","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -2*l**2 - 2044*l - 1053 wrt l?\nAnswer: -4*l - 2044","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-56)\/(-42))\/(1\/3). Solve -2*w - 4 = c for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = x - 3. Let f(r) = -r**2 + r + 2. Let t be f(x). Find the common denominator of -81\/10 and ((-53)\/28)\/(1\/t).\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = 13*p**2 + 13*p - 49. What is the thousands digit of f(16)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 401 minutes before 8:59 PM?\nAnswer: 2:18 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:10 PM and 1:12 AM?\nAnswer: 302","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = -4*a, -3*m + 2*a + 79 = 10. Let h be (-110)\/2*(-20)\/m. Suppose 5*q - 11 - h = 0. Is q composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 45\/144*2*(-2)\/10.\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = -2*h**3 - 3*h**2 + h + 2. Let y be j(-2). Let f be ((-115)\/10)\/((-2)\/y). What is the units digit of (-2)\/(f\/(-11) + 2)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in one tenth of a centimeter?\nAnswer: 1000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -19 + 43. Suppose -3*b + p = 5*t + b, 2*t = 3*b + 5. Solve 2*j - 10 = 2*d - d, -4*d - 28 = -t*j for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = 3*j - 2*j. Suppose -4*v - v = j. Let g(q) = q**2 - q - 1. Let l(k) = -3*k**3 - 5*k**2 + 3*k + 4. Let m(c) = 5*g(c) + l(c). Determine m(v).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in -2\/3, -0.5, 4?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = -3*g - 2. Suppose 0 = 4*j - 32 + 140. Let q be (126\/j)\/(2\/3). Is i(q) a multiple of 19?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 9\/2 + 3\/(-6). Suppose -t*w - 3*d + 272 = 0, 0*w + 2*d = -3*w + 205. Is w a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = -26*v**4 + 25*v**2 + 5. Let t(r) = 27*r**4 - 24*r**2 - 4. Let u(a) = 5*t(a) + 4*y(a). What is the third derivative of u(k) wrt k?\nAnswer: 744*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -3\/4 (b) 0.4 (c) -1 (d) 4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -10, 7, -1, -28525 in decreasing order.\nAnswer: 7, -1, -10, -28525","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = -12*v - 215. Determine a(-18).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 89\/4 (b) 0.2 (c) -1\/11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (18\/21)\/((-6)\/(-28)). Suppose 4*j - 2*d = 2*j + 38, 58 = 3*j - r*d. Solve -3*i + 19 = -5*u - j, 2*i - 33 = 5*u for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*l + 6 = -15. Solve -s + l*k = 0, 1 = -4*k + 5 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = 41*o. Let z(y) = 8*y. Let x(v) = -2*h(v) + 11*z(v). Let f(q) = 1419*q. Calculate x(f(u)).\nAnswer: 8514*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -3 - (-38 + (-5 - -6)). Find the third derivative of z*u**3 - 3*u**2 + 124*u - 124*u wrt u.\nAnswer: 204","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -61 + 58. Let l be 3 + (-19 - x)\/(-4). What are the prime factors of 2\/(l\/(364\/8))?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y - 9 = 0, -5*y - 76 = 5*b + 204. Suppose 11*n = 8*n - 159. Is b at most as big as n?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1305 and 2415265.\nAnswer: 145","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20 = b - 2*d, -3*d = 4*b - 20 - 16. Suppose 0 = -x + 4*x - b. Solve -5*m = -10, -x*m + 10 = -2*h + m for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -20*c**2 - 4*c + 103*c**2 - 41*c**2 - 35*c**2 + 4*c.\nAnswer: 7*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -259 - -104. Let z = -79 - o. What is the tens digit of z?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k - 11*a = -7*a - 24, 0 = -3*k - a + 31. Let w = 1 + 144. What is the greatest common factor of w and k?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -73\/8 and (-21)\/2 - (-5)\/(-20).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3911 is divided by 389?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 143063.\nAnswer: 143063","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) be the second derivative of f**5\/20 - f**2 + 56*f. What is g(-2)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = -o**2 - 8427*o - 42111. Give h(-5).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 1848865 to the power of 1\/2, to the nearest integer?\nAnswer: 1360","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -1692806 and -0.2.\nAnswer: 338561.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1448028 and 684.\nAnswer: 1448028","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0 and 1.2498339.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 80983675*t*z**2 + 2*t*z - 8343333*t wrt z?\nAnswer: 161967350*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((a\/a**(-4\/11))\/a)\/(a\/(((a**(-7)\/a*a)\/a)\/a)*a*a*a))**(32\/5)*((a*a\/a**(-2\/5)*a)\/(a**(3\/7)*a))\/(a**(3\/7)\/(a*a\/(a\/(a*a**9*a)))) assuming a is positive.\nAnswer: a**(-25922\/385)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 57091519 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0*j**2 - 4*j**2 - j**2)*(98 - 146 - 1312) - 4*j + 4*j - j**2 to i*j**2 + l*j + v and give i.\nAnswer: 6799","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1080?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5519795.\nAnswer: 5, 67, 16477","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in -5, 0, 0.2, 1072, -0.3?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:52 PM and 2:57 AM?\nAnswer: 485","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (300\/(-9)*-1)\/((-13)\/460551). Round i to the nearest 100000.\nAnswer: -1200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 888 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 270\/180*(-612)\/(-2295)*40\/(-9)?\nAnswer: -16\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 8, -4, -15, 0 in descending order.\nAnswer: 8, 0, -4, -15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 103\/48 and 65\/336?\nAnswer: 336","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/7 in 1\/19, 0.3, 1\/2, 1?\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6 + 28*y + 17*y + 56*y - 4.\nAnswer: 101*y + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 14930*g*s**3 + 20586*g + 2*s**4 wrt s.\nAnswer: 44790*g*s**2 + 8*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Add 0.1 and 0.2166.\nAnswer: 0.3166","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 3 (b) -2 (c) -3 (d) -3\/526 (e) -0.08 (f) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = -5*y**3 - 4*y**2 - 2*y + 6. Let o(a) = -a + 26. Let l be o(23). Let x be (l + -3 + -1)\/(1\/5). Is b(x) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 429 a factor of 189053?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 42 + -1*(2 + -1). Suppose 4*n = 5*k + 3*n - 55, 3*k + n - z = 0. Let l be 84\/(-9)*k\/(-8). Calculate the highest common factor of l and 42.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 6179*c**3*n**3 - c**2 - 11696*c*n**3 wrt c.\nAnswer: 37074*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -179\/3840570 and 41\/5769.\nAnswer: 2461805370","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 6337, 12445, 18553, 24661?\n\"Answer: 6108*t + 229","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.1 + -0.37404014361.\nAnswer: -0.47404014361","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*l + d - 11, 3*d = l - 6 - 3. Let j(p) = p**2 + 4*p - 11. Does 29 divide j(l)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -50? (a) 2\/7 (b) -4\/9 (c) -118 (d) -1\/4 (e) -4\/7 (f) 5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 793010.9 weeks in milliseconds?\nAnswer: 479612992320000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 16 + 17*u**2 - 6 - 10.\nAnswer: 17*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k + 4*z = 6, 2*k + 0*k - 5*z = -3. Let o(i) = -k - 8*i**3 + 3 - 2. Determine o(1).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 87 and 6177.\nAnswer: 87","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:23 AM and 7:15 AM?\nAnswer: 52","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -4 (b) -29 (c) -1.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (176 - 226) + (-53 - -12).\nAnswer: -91","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1101 - -1574. Is 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 212 and 794064?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1.93 + -2.43. Which is the closest to 21? (a) -2 (b) f (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1728 + -3917. Let b = x + 2188.90985. Let s = b - -0.09. Round s to four decimal places.\nAnswer: -0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 698, 189, -211, -0.3, -0.2 in decreasing order.\nAnswer: 698, 189, -0.2, -0.3, -211","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-150)\/(-9)*6\/5. Suppose d = 3*i - 659, i + 0*i - 3*d - 217 = 0. What is the greatest common divisor of p and i?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 12.34839cm in nanometers?\nAnswer: 123483900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = 13*z**2 - 3*z + 3. Let x be t(2). Suppose 2*q - 3*n - 129 = 0, -x = 2*q + 4*n - 171. Let s = 131 - q. What are the prime factors of s?\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -0.05 or -1.5?\nAnswer: -1.5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -28, -86, -170, -292, -464?\nAnswer: -698","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -628629 rounded to the nearest 100000?\nAnswer: -600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 1001101110101110001000 (base 2) to base 10\nAnswer: 2550664","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 121 is divided by 57.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 548 + 17*t**2 - 126*t - 20*t**2 - 180 + 28*t wrt t?\nAnswer: -6*t - 98","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -14, 6493, -5 in descending order.\nAnswer: 6493, 0, -5, -14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k*k\/(k*k**12\/k)*k)\/(k**5\/k))**(-21) assuming k is positive.\nAnswer: k**273","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1 - -6. Let p(y) = 0 - 6 + 2 + 6*y**2 - o*y**2 + 3*y. What is the units digit of p(-5)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = 305*d - 1712. Let m be v(6). Solve 0 = 120*r - m*r - 10 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) be the third derivative of l**4\/24 + 11*l**3\/6 - 8*l**2. Let k = -8 + 4. Let n be z(k). Calculate the greatest common divisor of n and 1.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -777002684, -1554005368, -2331008052?\nAnswer: -3108010736","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 15 - -38. What are the prime factors of h?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8936707031 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = 4*d - 4. Let o be i(3). Let h = -5 + 13. What is the highest common factor of o and h?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(78)*-1*6)\/sqrt(6) + -1 + sqrt(26)\/sqrt(2) + sqrt(13) + sqrt(13) + (sqrt(13)*-2)**2 + -3.\nAnswer: -3*sqrt(13) + 48","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -51*k**3*w*x - 17*k**3 + 2*k**2*w*x - 14*k**2 + 7*k*w*x - 2*k*x - 4*w*x wrt k.\nAnswer: -306*w*x - 102","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*z**4 - 380*z**3 - 10710*z**2 - 132940*z - 614125 = 0.\nAnswer: -25, -17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-2)\/6 + 1)\/((-1)\/3). Sort -3, 2, w.\nAnswer: -3, w, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -22 * -214.\nAnswer: 4708","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -211002 + -11?\nAnswer: -211020","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 2785469 to the power of 1\/3, to the nearest integer?\nAnswer: 141","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 1205 - (-4 - (-1 + -6)). Let j = 3642 - o. Round j to the nearest one hundred.\nAnswer: 2400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 + (0 - 5) + 2 + (-9 - (-64 - 8)).\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*w = -3*w. Let t be 4 - (1 - (w + -2)). Is t at least -2\/11?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*y**4 - 45500*y**3 - 14793600*y**2.\nAnswer: -4*y**2*(y + 335)*(y + 11040)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 92*s**2 - 21*s**6 - 104*s**2 + s**6 - 2*s**6 wrt s?\nAnswer: -2640*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q - 4*r = 0, 2*r - 13 = -4*q + 17. Sort 2, -9, 0.01, q in decreasing order.\nAnswer: q, 2, 0.01, -9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1.08 - 0.08. Let z = -20.109 + 15.109. What is the biggest value in n, -2, z?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -44754 - 214?\nAnswer: -45170","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = -34*j - 30. Give x(8).\nAnswer: -302","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15*l + 8*l = -36*l - 30*l + 236 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -41 - -41.1. What is the closest to a in 0.4, -2\/5, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 134 a factor of 19992889?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1.3013 + 1.6987. What is the closest to 15 in y, 6\/11, 2\/13?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3086.\nAnswer: 2, 1543","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {q: 3, n: 4, h: 5, j: 3, t: 1, b: 4}. Give prob of picking 1 n and 2 q.\nAnswer: 1\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 d and 3 p when four letters picked without replacement from dprrpdrpdprdrr?\nAnswer: 16\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 5234, 5230, 5224, 5216?\nAnswer: 5206","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 8.180091 tonnes?\nAnswer: 8180.091","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.06192 to three decimal places.\nAnswer: 0.062","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 4201?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = -32 - 3*n**2 - 164*n**3 + 163*n**3 + 22. Give h(-3).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 4455444?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = -7*f**2 - 134*f - 636. Let t be n(-9). Let x(i) = 6*i**2 + 3*i + 1. Let m(y) = -5*y**2 - 2*y - 2. Determine t*x(b) + 2*m(b).\nAnswer: 8*b**2 + 5*b - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/13? (a) -4 (b) -0.1 (c) 2\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 26 - 198*h**2 - 26 - 53*h**2.\nAnswer: -251*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = -o**2 + 6*o + 10. Let v be i(7). Solve -3*d - 6 = v*w, -3 + 9 = -3*d + 3*w for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 690\/(-21)*((-21)\/(-1))\/(3 - 6). Solve 182 - g = -12*p for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) be the first derivative of -6*n**5\/5 + 4*n**3\/3 - 33*n - 91. Differentiate x(a) with respect to a.\nAnswer: -24*a**3 + 8*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 17356 (base 16) in base 12?\nAnswer: 4701a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*h**2 - 2*h**2 + 4*h**2)*(3*h**2 - 6*h**2 + 15 - 16) as k*h + r + i*h**2 + w*h**3 + u*h**4 and give i.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -390 + 416 - 2*h + 228 + 3*h.\nAnswer: h + 254","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 3*k - 3 + 4*k - 3*k - 3*k - k + 3*k - 4*k + (-5 + 1 + 3)*(1 + k - 1) + 0*k - 3*k + 2*k + 0*k - 2*k + k)*(3*k**3 - 3 + 3)*(-2 + 4 - 1).\nAnswer: -30*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = 3*a**2 + 6*a - 1. Let u be k(-3). Let z(w) = -w**2 - 6*w - 6*w**3 + u*w - 9*w. Calculate the remainder when z(-3) is divided by 35.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 1255040, 2510050, 3765060, 5020070?\n\"Answer: 1255010*g + 30","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-4)\/18 + ((-448)\/(-18))\/4. Solve -3*a = -5*a - 5*g + o, g = 0 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 56 + -55 + 0 + 0?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 3000 + -2913. Is n less than 83?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -16*l**4 - 11301*l**2 - 28177*l + 21 wrt l?\nAnswer: -192*l**2 - 22602","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z*z*z**(-1\/2)*z\/(z*z**(4\/9)\/z))\/(z**(-1)\/z)**33 assuming z is positive.\nAnswer: z**(1225\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18603 - 15 = 772*s + 12262 for s.\nAnswer: -40","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-1)\/((-1)\/(-2)))\/(2*-1).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 1\/(-2) - 15\/(-6). Suppose 4*m + 2 = o*m, 16 = 4*z + 4*m. Suppose z*l = -2*j + 47, 0*l - l + 90 = 3*j. What is the remainder when j is divided by 16?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 22522*c**2 - 157*c**4 - 4 + 4 - 25602*c**2 wrt c?\nAnswer: -3768*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:09 AM and 11:19 AM?\nAnswer: 430","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) be the third derivative of -w**3\/3 + w**2. Let z(g) = -3*g**3 - 6*g**2 + 15*g + 21. Let c be z(-1). Let i(j) = j**2 - 3. Calculate c*v(t) - 2*i(t).\nAnswer: -2*t**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) be the first derivative of 7*i - 6*i**2 - 4*i**3 - 5\/4*i**4 - 9 - 3\/20*i**5. Let r(y) be the first derivative of o(y). What is c in r(c) = 0?\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 480 and 149088.\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 2, u: 7, f: 11}. What is prob of sequence ff?\nAnswer: 11\/38","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -12 and -10369.\nAnswer: 124428","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {x: 1, u: 1, s: 1, d: 1, i: 1}. Give prob of sequence xiu.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 86383 a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -123 - -117.9. Let g = -7 - r. Let n = 1.89948 + g. What is n rounded to four dps?\nAnswer: -0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) be the third derivative of n**6\/30 + 3*n**5\/5 + 4*n**4 + 32*n**3\/3 - 20*n**2 + 2. Suppose c(y) = 0. Calculate y.\nAnswer: -4, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 6 - 9. Suppose -2*j + 5 + 1 = 0. Suppose 2*k + 12 = -2*n, -j*k + 7*k + 10 = 3*n. Which is the second biggest value? (a) n (b) p (c) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(-2\/21)\/(t*t*t*t\/((((t**(9\/5)*t)\/t)\/t)\/t)*t))**(-5\/8) assuming t is positive.\nAnswer: t**(139\/42)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = 2*s**3 + 4*s**2 + 7*s + 4. Let g be 1\/2 - 10\/(-4). Let n(c) = -c**3 + c**2 + c - 1. Let b(i) = g*n(i) + x(i). What are the prime factors of b(8)?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vvtv when four letters picked without replacement from {v: 4, t: 3}?\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = 3827*m**2 - 14*m - 4. What are the prime factors of t(-1)?\nAnswer: 3, 1279","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.3, -1\/4, -3\/7, 1\/7 in descending order.\nAnswer: 0.3, 1\/7, -1\/4, -3\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Determine l so that 101\/3*l**2 - 67\/3 - 65\/6*l + 1\/6*l**5 - 34\/3*l**4 + 32\/3*l**3 = 0.\nAnswer: -1, 1, 2, 67","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) be the first derivative of 3\/2*a**2 - 5 - 1\/6*a**3 + 1\/6*a**4 + 0*a - 1\/15*a**5. Let w(c) be the second derivative of r(c). Factor w(z).\nAnswer: -(2*z - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 1\/2 (b) -1 (c) 3 (d) -0.1246\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -1 + -75?\nAnswer: -76","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y = 5*i - 19203, -53624 + 21650 = -5*y + 2*i. What is the units digit of y?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 200220 (base 3) in base 7?\nAnswer: 1326","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 44070 = 10814*x - 11492*x for x.\nAnswer: -65","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = -3*l + 12. Let x be w(3). Suppose -5*r - x*n + 13 - 4 = 0, 5*n = -5*r + 5. What is the derivative of -r*s**4 - 19 + 6 + 6 wrt s?\nAnswer: -12*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 69053?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 88675147997 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 65, 96, 85, 32, -63, -200?\n\"Answer: -21*y**2 + 94*y - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 135.1 rounded to zero decimal places?\nAnswer: 135","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -1913089 (base 10) to base 3\nAnswer: -10121012021011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 17 divide 81098?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express 20*i**2 + 65 - 65 + 2*i as m + s*i + t*i**2 and give s.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 755613?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1158161823.\nAnswer: 3, 7, 13, 311, 4547","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t + 37 = 4*m, -4*m - t - 1 + 44 = 0. Let w be -2 + 3\/(6\/m). Suppose -4 - 20 = 5*s - w*d, 2*d = -s + 3. Put s, 4, 5 in ascending order.\nAnswer: s, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7 - 7 = -39*a for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -6638896 divided by 24772?\nAnswer: -268","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 0 times 0.06984\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i - 501 = -476, 0 = -2*l - i + 12247. Is l prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify m**(-13)*m**3\/m*m assuming m is positive.\nAnswer: m**(-10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4505410*3.06.\nAnswer: 13786554.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 7786 + -7785.8. Let d = 0.8 + -0.3. Which is the nearest to 1? (a) 0.1 (b) v (c) d\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 5\/(-2) + (-7)\/(-14). Let r(z) = -2*z - 3. Let g be r(-2). Let p be ((-8)\/6)\/((-2)\/6). Sort m, g, p.\nAnswer: m, g, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 30670897?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -3 (b) 0.02 (c) -2 (d) -1\/5 (e) -1\/18 (f) -63\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 22\/25 + -204\/175. Let u be 5\/(-60) - 2\/12. Let d be (-4)\/14 - (-2)\/7. Which is the closest to d? (a) 4 (b) i (c) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 minus 1.0122?\nAnswer: -4.0122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*y - 32 = -0*y. Find the second derivative of -18*h + 16*h**5 + y*h**4 - 7*h**4 + 3*h**4 wrt h.\nAnswer: 320*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 5467829 to the nearest integer?\nAnswer: 176","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1 (base 4) to base 5.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -322 divided by 2\nAnswer: -161","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = 5*x**3 + 30*x**2 + 30*x + 30. Let y(j) = 182*j**2 - 2*j - 183*j**2 - 3 + 2 + j. Let a = -31 - -2. Let c = -28 - a. Calculate c*p(h) + 30*y(h).\nAnswer: 5*h**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -50 + 47. Put 5, m, 3, 2 in increasing order.\nAnswer: m, 2, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = 16*d**2 + 3*d - 2. Suppose -16 = -5*q - 11. Let m be f(q). Let u = 65 - m. What is the tens digit of u?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r\/r**(-21))\/(r**(2\/27)*r)*(r\/(r\/r**32)*r)\/(r**(-1\/45)*r) assuming r is positive.\nAnswer: r**(7148\/135)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 times 12008?\nAnswer: 24016","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1 (base 15) to base 12.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 0.12 times -1.993\nAnswer: -0.23916","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = 5*o**3 - 10*o**2 + 11*o + 38. Let n(c) = 14*c**3 - 31*c**2 + 32*c + 111. Let j(t) = 17*a(t) - 6*n(t). Does 5 divide j(-16)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-2)\/8 - 0)*0. Solve -4*i + 11 = -f, 4*i - 11 - 5 = a for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((18200\/32)\/13)\/((-1)\/4). Let l = y + 878\/5. Find c, given that -9\/5*c**2 + 0*c + 12\/5 + l*c**3 = 0.\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 32994359 to the power of 1\/8, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 90581568 and 132.\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -13424 times -0.772?\nAnswer: 10363.328","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (28 - 24 - 27)*(-2 + 2 + j)*(-3*j**3 + 2*j**3 + 2*j**3).\nAnswer: -23*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 4051 divided by -1\nAnswer: -4051","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1419918823493\/156314646 + 2\/8684147. Let m = -9081 + n. What is the common denominator of -113\/18 and m?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 44 is divided by 13?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 2.24 - 0.24. What is the closest to -4 in -2\/19, l, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -8*(-1)\/(-12)*(-33999453)\/18 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -67\/3114 and -31\/4.\nAnswer: 6228","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*g**2 + 7230*g + 2613645.\nAnswer: 5*(g + 723)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort -38, 88, 227, 4, 2 in descending order.\nAnswer: 227, 88, 4, 2, -38","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ldjlldddlddddll. What is prob of sequence jd?\nAnswer: 4\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((j*j**27*j)**(-3\/2))**(-1\/98))**(-7\/3))**(-1) assuming j is positive.\nAnswer: j**(29\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2862 = -506*w - 13994 for w.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.47 - 0.12. Let q = 257 - 257.3. Put q, 4, b in decreasing order.\nAnswer: 4, b, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 4159 divide 360132985?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -4? (a) -31 (b) -8\/7 (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*l + 9*l - 40. Suppose 20*b + 140*b**2 + 2*b - 3*b - 35*b**4 + 21*b - l*b**3 = 0. Calculate b.\nAnswer: -2, -2\/7, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 575*k + 788*k + 20992 = 9043*k + 166912 for k.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is -3804 > 7\/4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -1784, -1785, -1786?\n\"Answer: -n - 1783","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 i, 2 j, and 1 r when four letters picked without replacement from {i: 3, z: 2, j: 2, r: 6, a: 1, l: 5}?\nAnswer: 3\/646","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ssnnspppp. Give prob of sequence ps.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 14284 + -7720. What are the prime factors of o?\nAnswer: 2, 3, 547","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 8\/33 + -10\/11. Which is the closest to -0.1? (a) 5 (b) k (c) -0.04 (d) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 9, 3, -0.4, 28, -2 in descending order.\nAnswer: 28, 9, 3, -0.4, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 - 5 = -5*u. Let f(a) = 7*a**u - 6*a**2 - 2*a**2. Let t(g) be the third derivative of -4*g**5\/15 - g**2. Give f(t(r)).\nAnswer: -256*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 54*c - 112 = 482 for c.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 158 and 1185?\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*g**3 + 0 + 1 + 4*g + 0 as w + p*g + i*g**2 + c*g**3 and give p.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 7010699281 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = v. Let p(i) = -74*i**2. Determine p(s(u)).\nAnswer: -74*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = -i**3 + 5*i**2 - 3*i + 1. Suppose 13*z + 399 + 238 = 0. Let q = z + 53. Let p be a(q). Solve 16 = 4*g, p*d = 4*g - 24 - 7 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 38, 2, -2 in decreasing order.\nAnswer: 38, 2, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 212 - 209. Find the third derivative of 94*a**3 - 15*a**3 - 30*a**z - 28*a**3 - 190*a**2 wrt a.\nAnswer: 126","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -b (base 12) to base 7.\nAnswer: -14","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/3, -19, -26149 in ascending order.\nAnswer: -26149, -19, 2\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 1735995699 to the power of 1\/2, to the nearest integer?\nAnswer: 41665","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 117*m + 72*m + 3057 + 345 = 0 for m.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qao when three letters picked without replacement from {q: 5, a: 4, o: 2}?\nAnswer: 4\/99","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) be the first derivative of n**5\/3 + 13*n**4\/12 - 29*n**3\/9 - n**2\/6 + 4*n - 49. Determine c, given that h(c) = 0.\nAnswer: -4, -3\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 963047.0398 + -962594. Let k = -453 + b. Let u = k + 0.018. Round u to two decimal places.\nAnswer: 0.06","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = -3*g. Let s(f) = f + 4. Let z be s(2). Suppose -h + z = 1. Let x(r) = -2*r. Calculate h*j(p) - 6*x(p).\nAnswer: -3*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -107\/22 and 3\/8?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 10614 is divided by 10614.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h = 3*j - 33, 2*h = j + 1 + 10. Find the third derivative of -h*v**2 - 20*v**6 + 18*v**2 + 19*v**6 wrt v.\nAnswer: -120*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 281 a factor of 15642989?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 260 in -36, 1\/47, -0.4, 2\/5?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 258, 258, 266, 288, 330, 398?\n\"Answer: l**3 - 2*l**2 - l + 260","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*z + 18983 = 1497. List the prime factors of z.\nAnswer: 1249","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 96765, 193066, 289367?\n\"Answer: 96301*s + 464","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:12 PM and 10:11 PM?\nAnswer: 599","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.1 + -0.6. Let x = 326.4344 + -327. Let d = 0.0344 - x. Which is the closest to -0.1? (a) -4 (b) y (c) d\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 - 16 = 4*c. Let s be 4*((-10)\/4 - c). Find the third derivative of 4*o**5 + 2*o**2 - 2*o**s - 2*o**2 wrt o.\nAnswer: 240*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -190*b = -185*b - 75. Solve -r - 2*r - b = 0 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 639 minutes before 12:40 PM?\nAnswer: 2:01 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 481213, 962426, 1443639, 1924852, 2406065?\n\"Answer: 481213*d","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = -c**3 - 2*c**2 + 2*c - 4. Let v(y) = y**3 - 6*y**2 - 3*y - 31. Let h be v(7). Calculate q(h).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a + n = 2*a + 709, -a - 245 = 4*n. Let z = 537 + a. What is the smallest common multiple of z and 50?\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from nnonnnnonnon. What is prob of picking 2 n?\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*q = -u + 2, 42*q + 10 = 47*q for u.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 1759 + -91?\nAnswer: 1678","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-13 + 3 - -15)*3\/5. Let l(a) = 91*a**3 - a + 1. Let f be l(1). Let r be f\/21 - (-2)\/3. Solve -2*c + r*v = 13, -c - 2 - j = -v for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -726 + 258. Let m = v + 468. Solve -5*q - 17 = n + n, -4*n - 2*q - 10 = m for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in fourty-three thirds of a decade?\nAnswer: 1720","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:14 AM and 5:49 AM?\nAnswer: 35","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = f**3 - 3*f**2 + 5*f - 3. Determine w(3).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-2)\/8)\/((-21)\/252*-9).\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find p, given that 5*p**4\/11 + 1237*p**3\/11 + 5369*p**2\/11 + 5595*p\/11 + 1458\/11 = 0.\nAnswer: -243, -3, -1, -2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u = 2*h + 55, 4*u = -6*h + h - 55. Let i(p) = 874*p + 653*p - 1491*p. Let c(k) = 5*k. Give h*c(n) + 2*i(n).\nAnswer: -3*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -14 + 48. Let w be 3*-2*o\/(-51). Solve n = c + 1 - w, 0 = -c - 4*n - 22 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 13*-1 + (618233\/49049 - (-12)\/14).\nAnswer: 6\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 33 and 1009963.\nAnswer: 1009996","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) be the third derivative of g**8\/56 + g**5\/60 - 12*g**2. What is the third derivative of v(x) wrt x?\nAnswer: 360*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3\/2, -3\/10, 3, 0.2, 38 in descending order.\nAnswer: 38, 3, 3\/2, 0.2, -3\/10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -109\/504 and 9\/2744?\nAnswer: 24696","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = 1138*g**3 + 7*g**2 + 7*g + 7. Let d(s) = 568*s**3 + 3*s**2 + 3*s + 3. Determine 3*b(j) - 7*d(j).\nAnswer: -562*j**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 o and 1 n when two letters picked without replacement from dnnozz?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -3.1 + 3. Let p = -519.5 - -519. Let w be 8\/(-6)*3 + 1. Which is the closest to 0.1? (a) i (b) p (c) w\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-3*sqrt(204)*1*-2)\/((2*sqrt(144)*-5)\/sqrt(12)))**2.\nAnswer: 153\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 166881975 is divided by 342.\nAnswer: 339","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 18867 and -0.4281?\nAnswer: -8076.9627","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert -27b8e (base 16) to base 12.\nAnswer: -7a1a6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = 4*d**2 - 4*d + 2. Let o be y(2). Suppose 3*t + 3 = 0, p + 3*t + 17 = -p. Let n = o + p. Solve 0 = -n*h + 5*x - x + 7, 20 = -5*x for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 0, -3, -111, 2 in decreasing order.\nAnswer: 2, 0, -1, -3, -111","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o*o**(-6))\/o)\/(o\/o**1)*o**6*o**1 assuming o is positive.\nAnswer: o","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (m - m - 2*m)*(3*m**3 - 3*m**3 - 2*m**4) + 148*m**5 - 138*m**5 - 152*m**5.\nAnswer: -138*m**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 243645.\nAnswer: 3, 5, 37, 439","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = 7*o**2 - 10*o - 60. What is the tens digit of q(-16)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 548877 a multiple of 29?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6734?\nAnswer: 2, 7, 13, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000000367491 to 7 dps.\nAnswer: 0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (16\/6)\/((-3)\/((-36)\/8)). Suppose -u*l + 4*t + 11420 = 9*t, 4*l + 4*t = 11420. Is l a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 2*k*v + 684*k + 245*v + 6 wrt k.\nAnswer: 2*v + 684","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: (-19)\/(-42) + (-40)\/140\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -86708 divided by -2?\nAnswer: 43354","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = r, 0*s = -4*s + r + 41. Is (s\/2)\/(1\/97) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1686 is divided by 13.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/3? (a) 5 (b) 33\/2 (c) 15.4 (d) -2 (e) 3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -7 - -19. Solve -j = -3*d, -4*k + 20 = 2*d + 2*d for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*f**3 - 60*f**2 - 308*f - 384 - 400 - 196*f = 0.\nAnswer: -14, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -n - 25*j - 16 = -21*j, 4*n - 11*j - 44 = -n for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 482056, 964099, 1446144, 1928191?\n\"Answer: s**2 + 482040*s + 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-666)\/24)\/((-54)\/(-12)) + 7?\nAnswer: 5\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 53\/66 and -113\/5800926?\nAnswer: 63810186","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: (-47)\/(-3) - (3 + 0) - 780\/1170\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11\/3297196 > 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = -r**3 - 5*r**2 + 5. Let a be o(-5). Let i(m) = 2*m - 8*m - 190*m**2 + 99*m**2 + 92*m**2 + 7. What is the units digit of i(a)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -8*4\/(-1318)*24\/(-96). Is 0 at least as big as v?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -234*c + 316*c = 1886 for c.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -5321, -10872, -16643, -22628, -28821, -35216?\n\"Answer: t**3 - 116*t**2 - 5210*t + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) be the first derivative of u**2\/2 + u - 15. Let h(q) = 3*q**5 - 15*q**4 + 30*q**3 - 30*q**2 + 24*q + 6. Let f(x) = h(x) - 9*k(x). Factor f(r).\nAnswer: 3*(r - 1)**5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 30.75 - 31.05. What is the closest to -0.1 in -13.8, o, 3?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 214224?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.0143 + 0.014299781. What is n rounded to seven dps?\nAnswer: -0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = 2*h - 16. Let a be n(8). Solve -20 = -5*i, -9 + a = -u - 2*i for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 17 and 272?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = n - 2. Let l(c) = -c + 3. Suppose 714 = 9*x - 72*x - 56*x. Determine x*d(a) - 4*l(a).\nAnswer: -2*a","meta":{"dup_signals":{},"source":"polynomials__add_test"},"subset":"dm_maths"} +{"text":"Question: Is 953862 a multiple of 42?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 84293?\nAnswer: 11, 79, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = -y**3 - 4*y**2 + 4*y. Let m be o(-5). Suppose -m*h + h = 0. Which is the closest to 2\/7? (a) h (b) 2 (c) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1168777 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -3*w**3*y + 4*w**3 + 476*y + 1235 wrt y.\nAnswer: -3*w**3 + 476","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -309967\/3 + 103329. Factor -6 + h**3 + 13*h - r*h**2.\nAnswer: (h - 3)**2*(3*h - 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -64 - 24. Let r be (-6 + 1)*q\/(-5). List the prime factors of (r\/(-10))\/((-1)\/(-5)).\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -137 - -21 - -120 - (51 + 0).\nAnswer: -47","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 656500795?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 23\/(138\/24) - (1 - 1 - -2). Solve -5*s + 6*i + h = 5*i, -s = -2*i + 5 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) be the second derivative of -t**3\/6 - t**2 - 3*t. Let s be f(-2). Let v = 147 - 144. Solve -12 = -s*r + v*r for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -0.0238 from 0.\nAnswer: 0.0238","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -10 + 12. Let c = 4 - m. Let v(b) = -2*b + c*b - 3*b + 0*b. What is v(1)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**4\/(w\/w**6)*(w*w**(-3\/5)\/w)\/(w\/(w\/(w**(-2\/3)\/w))))**(-5\/4) assuming w is positive.\nAnswer: w**(-151\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence tp when two letters picked without replacement from pctcccpctcctp.\nAnswer: 3\/52","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = -3*z. Let c = 366 + -364. Let q(r) be the second derivative of 0 + c*r + 0*r**2 + 0*r**3 - 1\/12*r**4. Calculate i(q(y)).\nAnswer: 3*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2)\/(-11) + 440\/242 + 3.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7911380 rounded to the nearest one million?\nAnswer: 8000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -85*n + 317477 + 192590 = -188888. What are the prime factors of n?\nAnswer: 3, 2741","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 35*(-21)\/(-3185)*((-2)\/(-1))\/4?\nAnswer: 3\/26","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {l: 4}. Give prob of sequence lll.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -13900 - -417077\/30. Suppose -u - 66 = -3*u. Find the common denominator of (-2)\/(-3)*(-123)\/u and h.\nAnswer: 330","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -23, -5, 7, -4.\nAnswer: -23, -5, -4, -3, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -7*g**4 + 3*g**2 - 168*g wrt g.\nAnswer: -84*g**2 + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 196368144?\nAnswer: 2, 3, 7, 584429","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h + 2*v + 3 = -1, 5*v + 25 = 0. Let i(w) be the third derivative of 1\/420*w**6 + w**h - 2\/105*w**5 + 5\/84*w**4 + 0 - 2\/21*w**3 + 0*w. Factor i(g).\nAnswer: 2*(g - 2)*(g - 1)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h = -2*d + 24, 3*h = -3*d + 81 - 69. Solve 3*b + 0*a - h = -4*a, -3*a = -2*b + 11 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-6)\/(-9) - 16\/15. Let y(k) = -k**3 + 8*k**2. Suppose -5*p + d + 36 = -3*d, 4*p - 2*d - 30 = 0. Let q be y(p). What is the nearest to q in 3, -4, h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-19488)\/(-3248)*46\/(-4)?\nAnswer: -69","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 988515 and 15976.\nAnswer: 1997","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = -8*z**3 - 3*z**2 - 2*z - 2. Let k be g(-1). Solve k - 15 = -2*i for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(64)\/(sqrt(2) + sqrt(16)\/sqrt(2)) - ((-2*sqrt(144))\/sqrt(6))\/((-2*sqrt(12) + sqrt(12))*1))**2.\nAnswer: 8\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -9 + 38. Suppose -10*p + 11 = -s. Let t be (p + -1 - 262\/(-6))*-132. What is t rounded to the nearest 1000?\nAnswer: -6000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -7 - -6.63. Let u = w - -0.37000145. What is u rounded to seven dps?\nAnswer: 0.0000015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-3 + 3 + 2)*(0 + 2 - 1) - 37 + 11 + 61)*(-9*w**2 - 1 + 1 + 2*w**2).\nAnswer: -259*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c + 14 + 9 = 2*r, 4*c - 74 = r. Let u = c + -58\/3. What is the nearest to 0 in -5, u, -1?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*s - s = 5*s + 117. Suppose -h + 24 = 2*h. What is the remainder when s is divided by h?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2926*k**2*n**3 + 14*k*n**3 - 8*k*n - 5*n**3 wrt k.\nAnswer: 5852*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 672 and 1372?\nAnswer: 32928","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = -92*v. Let s be o(-1). Let q = -2 + s. Calculate the highest common factor of 18 and q.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0, -3\/7, -0.18, 1\/4, 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-13)\/5 - (-8 - -13 - 10).\nAnswer: 12\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1637745 and 533?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 12*h**3 - 18229 + 9113 + 9120 - 2*h + 38*h**2 to l*h**2 + s*h**3 + f + y*h and give y.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 2 + 0)*(-3*c + 3*c - c)*(4*c + 60*c + c).\nAnswer: 65*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2392, -5, 3 in ascending order.\nAnswer: -2392, -5, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = 5 + v + v**2 + 1 + 2*v. Let g be p(-4). Suppose -3 + g = x. Does 2 divide x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = d + 2. Let s(o) = -2*o**2 + 9*o + 2. Let v be s(4). Let q be z(v). Suppose 3*h = q*h. Which is the closest to h? (a) -1 (b) 5 (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from vvvv. Give prob of picking 3 v.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 4*h*n**2 - 1306*h*n*o**2 - 2*h - 1776253*n**2*o**2 - 6*n*o**2 - 12*o**2 wrt n?\nAnswer: 8*h - 3552506*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 141589647 to the nearest integer?\nAnswer: 11899","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from fhufuuuhfnfn. Give prob of sequence uuhf.\nAnswer: 4\/495","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 24, 33, 42, 51, 60?\nAnswer: 69","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -0.1 (b) 5 (c) 56 (d) 1\/5 (e) -4 (f) -323\/3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 25\/(3600\/112) - (-4)\/18. Let s(w) = 19*w**2 - 5*w + 4. Give s(a).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 488? (a) -4\/5 (b) 1 (c) 0.5 (d) -4\/7 (e) -2\/23\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -38*h = -35*h - 84. Let a = h - 26. Solve 0*g - 8 = -a*g for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/5 in 0.5, 0.2, 16034?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from uuwuwuuwuwwwu. What is prob of sequence uu?\nAnswer: 7\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 5*j**2*n**2 + 60*j**2*n - 4094*j*n**3 + 104*j*n - 2*n**2 wrt n.\nAnswer: 10*j**2 - 24564*j*n - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((g*g**(-5))\/g)\/(((g*g**(-6))\/g)\/g))\/(g*g**(1\/4))**(8\/9))\/(((g\/g**(-3\/5))\/(g*g**(-1\/12)))\/(g*g**(-1\/3)\/g)**(-18)) assuming g is positive.\nAnswer: g**(1117\/180)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Does 323 divide 101162?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -3 + 8 + 18*t**4 + 16*t**4 - 28*t**4 wrt t?\nAnswer: 24*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 120\/(-100)*1585\/(-2).\nAnswer: 3, 317","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 481988 and 7774.\nAnswer: 481988","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -1508, -1532, -1570, -1628, -1712, -1828, -1982, -2180?\n\"Answer: -p**3 - p**2 - 14*p - 1492","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -877, 8, -2 in increasing order.\nAnswer: -877, -2, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -463 + 4163\/9. Let c = -334\/5 - -67. Do c and p have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 14 - 14. Find the second derivative of 0*c**4 + 4*c + p*c**4 + 5*c**5 wrt c.\nAnswer: 100*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 15282?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*q + 4*d - d + 193, 0 = 3*q - 4*d - 290. List the prime factors of 2504\/14 + 14\/q.\nAnswer: 179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t + 660 = 3*z, -2*t - 640 = -3*z - 0*t. Let f(a) = -2*a**2 + 35*a + 3719. Let g be f(-34). Which is smaller: z or g?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 132 and 24?\nAnswer: 264","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 32 + -17. Suppose -1364174 = 2*q - 3*j, -4*j - 1 - f = 0. Let h = q + -1017907. Round h to the nearest 1000000.\nAnswer: -2000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -11339 (base 15) in base 7?\nAnswer: -315363","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 84\/448*24*(184\/(-2160))\/(-23)\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 124 divided by 1.\nAnswer: 124","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -4, 0, 358 in increasing order.\nAnswer: -4, -2, 0, 358","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Divide 5 by -1677012.\nAnswer: -5\/1677012","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 74967437597 less than 1.85?\nAnswer: -74967437595.15","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*j - 5*d + 87, j - 2*j + 4*d = -24. What is the tens digit of 146\/8 - 9\/j?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5045 = 3*g - 4*a, -4*g - 219*a + 6705 = -220*a. What are the prime factors of g?\nAnswer: 5, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 n and 1 x when three letters picked without replacement from {k: 4, n: 1, x: 1, j: 2, l: 1}.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y - 3*n = -18, -2*y - 3*n - n + 16 = 0. What is the first derivative of -4*b**3 + 12 - 7 + 4*b**y + 4*b**3 wrt b?\nAnswer: 16*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 8248904 to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -4361 (base 7) to base 14\nAnswer: -7d8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 6 (b) 0 (c) 3 (d) 2\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = i - 6. Let c be l(10). Suppose 2*q - 24 = -c*q. Suppose -m = -q*m + 120. What is the greatest common divisor of m and 20?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 19961\/4389 - 1\/399. What is the common denominator of t and 0\/2 + (-34)\/(-8)?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.41203, -4, 4, -1, 5 in decreasing order.\nAnswer: 5, 4, -0.41203, -1, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = 7*o**2 - o - 1. Calculate the remainder when 16 is divided by y(-1).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor g**4 - 1256*g**3 - 1257*g**2.\nAnswer: g**2*(g - 1257)*(g + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 213808405?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = -k**3 - 10*k**2 + 82*k + 716. Suppose -3*c + 100 = 4*q - 7*c, 4*q = 2*c + 94. What is the lowest common multiple of q and b(-12)?\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1200510255.\nAnswer: 3, 5, 7, 11433431","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -5523 + 12101. List the prime factors of m.\nAnswer: 2, 11, 13, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (58752\/(-36))\/(-68)*(98\/(-21))\/(-7).\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 13\/16 and 79\/1764.\nAnswer: 7056","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 814943370 a multiple of 57?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -137 + 139. Sort 26, -4, x in ascending order.\nAnswer: -4, x, 26","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 2.645 + -2.485. What is the closest to 3 in -4\/3, o, 0.5, 2\/5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -45*r**3 - 12350*r**2 + 988735 with respect to r.\nAnswer: -135*r**2 - 24700*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = 1. Let h = 732 + -730. Let y(d) = d**3 + 9*d**2 + 10*d - 2. Let i be y(-8). Let t(s) = s + 9. Calculate h*t(r) + i*l(r).\nAnswer: 2*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) be the first derivative of -8 + 2\/5*a**2 + 1\/25*a**5 - 1\/5*a**4 + 1\/5*a**3 - 4\/5*a. Factor w(k).\nAnswer: (k - 2)**2*(k - 1)*(k + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -3.345903376 to 2 decimal places.\nAnswer: -3.35","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 142 = -12*x + 4*g + 242, 3*x - 5*g = 29 for x.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 302 minutes after 11:48 PM?\nAnswer: 4:50 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 141817543?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-45 - (3 + -5)) + (19 - 17) + 4.\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ymym when four letters picked without replacement from {m: 9, y: 3}?\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = 2*m**3 - 32*m**2 - 212*m - 195. What is r(21)?\nAnswer: -237","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -441 = -5*a - 2*x - 370, 2*a + 4*x - 22 = 0 for a.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -135 + 220. Suppose -197 + 95 = -6*a. What is the greatest common factor of a and r?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*i**2*o + 37555040*i**2 - 395*i*o - 5712*i - 2*o wrt i.\nAnswer: 4*o + 75110080","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -74100, -592837, -2000836, -4742727, -9263140, -16006705, -25418052, -37941811?\nAnswer: -54022612","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -174 - -194. Suppose -l*m - 10 = -25*m. Factor -2\/13*y**m + 0 + 10\/13*y.\nAnswer: -2*y*(y - 5)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1139 - 1139. Let u(y) be the third derivative of 0*y + 1\/8*y**4 + r*y**3 + 0 + 16*y**2 - 1\/120*y**6 - 1\/30*y**5. Suppose u(x) = 0. Calculate x.\nAnswer: -3, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 625 and 25.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 39 - (-1 + -25 + (-53 - -41 - -21)).\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1618376?\nAnswer: 2, 89, 2273","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.5, 75, 0.3, 87, 0.5, 6 in descending order.\nAnswer: 87, 75, 6, 0.5, 0.3, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 9697421 to the power of 1\/3, to the nearest integer?\nAnswer: 213","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -11\/5 + 71\/30. Let s(o) be the third derivative of o**2 - h*o**3 + 0*o + 5\/24*o**4 + 0 - 5\/48*o**5. Factor s(d).\nAnswer: -(5*d - 2)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -1\/4, -0.1, 3\/7, 17, 0.1?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find s such that -5*s**3 + 484985*s**2 + 7760720*s + 31044160 = 0.\nAnswer: -8, 97013","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 193312 a multiple of 28?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-2)\/(-3))\/(44\/(-24))*(-429)\/6.\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: (1\/20)\/((-46)\/345)\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = -u**3 - 44*u**2 + 91*u + 4. Calculate the remainder when s(-46) is divided by 19.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine i, given that 46\/3*i**2 + 0 + 16*i - 2\/3*i**3 = 0.\nAnswer: -1, 0, 24","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 969\/(-8 - -5) - -4. Let s = 343 + a. Calculate the highest common divisor of s and 24.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*o + 15 = -2*x + 6*x, -3*o + 15 = 0 for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 175526, 351148, 526832, 702608, 878506?\nAnswer: 1054556","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-1)\/(-4))\/((-1)\/(-4)). Let c = -1 + u. Suppose -46*x + 79 + 13 = 0. Solve -x*l + 1 + 1 = c for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 4337\/18 - 241. Calculate the common denominator of 13\/120 and v.\nAnswer: 360","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 189\/11 + -17. What is the biggest value in 2\/9, -10\/9, v, -2?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2\/6)\/(((-185250)\/468)\/(-19))?\nAnswer: 2\/125","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 49, 103, 157?\nAnswer: 211","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 9 in -1, 0.5, 0?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 112 a factor of 5156?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/5 in -1\/4, 1, 5, -3, -157, -3.91?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*z - 5*z + 2*z)*(-2 + 1 - 1 + (0 - 1 + 2)*(-22 + 6 - 19)) + (2 - 2*z - 2)*(-1 + 3 - 4).\nAnswer: 41*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 23627\/169 or 140?\nAnswer: 140","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find u such that 4 + 182\/9*u + 154\/9*u**2 + 8\/9*u**3 = 0.\nAnswer: -18, -1, -1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 22045 + 4605. List the prime factors of s.\nAnswer: 2, 5, 13, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = 2*a**3 + 10*a**2 - 3*a - 50. What is k(-4)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = -3*f**3 + 30*f**2 - 75*f + 66. What is c(9)?\nAnswer: -366","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Work out -10 - -0.049.\nAnswer: -9.951","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 not equal to -2388?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*w**2 + 1366*w - 1368.\nAnswer: 2*(w - 1)*(w + 684)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in 9\/4, 3, 3\/4, 0.4, -2\/15?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = -4 + 2 - 3*f + 0. Let c(d) be the first derivative of -d**2\/2 - 3. Give 4*c(p) - y(p).\nAnswer: -p + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify k\/(k*(k**(6\/7)\/k)\/k*k)*k*k**(-22) assuming k is positive.\nAnswer: k**(-146\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -315 = 238*r - 245*r. What is the highest common divisor of r and 495?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*l = 0, -53*l - 11 + 3 = -4*g - 55*l for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -2a5622 (base 12) to base 13\nAnswer: -1c0319","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xri when three letters picked without replacement from {x: 3, j: 1, t: 1, h: 1, r: 3, i: 2}?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -439 + 441.052. Let o = x + -0.052. What is the closest to -3\/4 in 4, o, 3?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -58, -66, -84, -118, -174?\n\"Answer: -j**3 + j**2 - 4*j - 54","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -2 (base 15) to base 2\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 7.817 - -0.663. Round h to the nearest integer.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f - 14 = -4*f. Suppose 3*g + 12 = q, -17 = -3*q + 4*g + f. What is the units digit of q?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = g - 4*g. Suppose 2309990 = -3*w + 2*y, 4*y + 770020 = -g*w - w. Round w to the nearest 100000.\nAnswer: -800000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 8\/(13*(-104)\/(-676))*(-82)\/(-8)?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v - 2*r = -16, 13*r = 4*v + 16*r - 21. Suppose 6 + 4 = 5*h. Solve -2*i + 4*q + v = 0, 0*i - i = h*q + 9 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = -j**3 - 4*j**2 + 8*j + 5. Let u be o(-5). Let i be (-15)\/u - 2\/(-4). Suppose i*p + 3*p - 10 = 0. Solve 0*d + p*d + 4 = 0 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = -7*v - 14. Let q(l) = 14*l + 26. Give 5*m(n) + 3*q(n).\nAnswer: 7*n + 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = 4173*g**2 + 6955*g + 1391. Let p(i) = i**2 + 5*i + 1. Determine m(h) - 1391*p(h).\nAnswer: 2782*h**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 920?\nAnswer: 2, 5, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = -a**2 + 10*a. Let x be b(10). Suppose x = k - 2*k + 2. Factor -2*f**3 + 4*f + 4*f**k - 2*f**4 - 2*f**2 - 2*f + 0*f.\nAnswer: -2*f*(f - 1)*(f + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine b so that 90*b**2 + 0 + 0*b + 1\/3*b**4 - 31*b**3 = 0.\nAnswer: 0, 3, 90","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-42)\/(-35)*2*3\/(-12)?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out -3.15 + 106.594865.\nAnswer: 103.444865","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: ((-11840)\/30)\/(-74)*-3\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.513 + 880.513. Let d = p + -895.56. What is d rounded to zero decimal places?\nAnswer: -16","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 38 + 16*x**4 + x**3 + x**2 - 15*x**4 - 3918*x + 3922*x to n*x**2 + u + j*x**4 + h*x**3 + m*x and give n.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 201395*z**3 + 7*z**2 - 3*z + 1628?\nAnswer: 1208370","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh smallest value in -5, 2, -15, -13148, 3, 0.1, -3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 41 - 21. Suppose 4*b = q - o - 6, 59 = 2*q - b. Let f = q - 6. List the prime factors of f.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = -1559687*t - 21835621. Determine g(-14).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 6378?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = -y**2 + y. Let s(g) = 30*g**2 - 8*g. Calculate -8*m(c) - s(c).\nAnswer: -22*c**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express 42650*a**2 - 21303*a**2 - 273 - 21327*a**2 as y + o*a**2 + i*a and give y.\nAnswer: -273","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j - u - 5 = 0, 0 = 7*u - 3*u + 20. Solve -n + 3 + j = 0 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -214 to the nearest one hundred.\nAnswer: -200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -70, -68, -66, -64, -62, -60?\nAnswer: -58","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -0.4099+-24464323\nAnswer: -24464323.4099","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = -j**3 - 2*j**2 + 4*j + 4. Let b be n(-3). Let z be 6\/(b\/(8\/(-6))). Suppose 0 = 41*l - 205 + 533. Is z not equal to l?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 1279?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5635839?\nAnswer: 3, 11, 67, 2549","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**24\/u*(u*u**(-23))\/u)\/(u\/u**(-5\/3))**11 assuming u is positive.\nAnswer: u**(-88\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 34, 54, 74, 94, 114, 134?\nAnswer: 154","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = 4*n. Let c(f) = 10495*f**2 + 2*f + 3. Determine j(c(t)).\nAnswer: 41980*t**2 + 8*t + 12","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round 298400 to the nearest ten thousand.\nAnswer: 300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -12 + -12112010?\nAnswer: -12112022","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0017799 to 4 dps.\nAnswer: 0.0018","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7 + (-1 + -3 - 0 - -11) - -1.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 42? (a) 171 (b) 0 (c) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*w**3 + 25376*w**2 - 4774288*w + 3171584 = 0 for w.\nAnswer: 2\/3, 208, 1906","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = 10*l. Let n(c) be the first derivative of c**6\/60 + 8*c**3\/3 + 7. Let t(s) be the third derivative of n(s). Determine r(t(h)).\nAnswer: 60*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -8356, -8286, -8216, -8146?\nAnswer: -8076","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -55 + 17. Let g = i + 56. List the prime factors of g.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x - 9 = 16. Suppose 2*n + 10 = 38. What is the remainder when n is divided by x?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11227778 to the power of 1\/8, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 80 or 2823\/8?\nAnswer: 2823\/8","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) be the first derivative of -s**5 + 65*s**4\/2 - 700*s**3\/3 - 980*s**2 + 550. Find v such that z(v) = 0.\nAnswer: -2, 0, 14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3167640 divided by 50280?\nAnswer: -63","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Divide 4 by 315516.\nAnswer: 1\/78879","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8519*d**2 + 8519*d**2 - 3*d**3.\nAnswer: -3*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-z + 3*z + 4*z)*(76*z + 103*z - 70*z)*(1 - 5 + 3).\nAnswer: -654*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 0 + (3 - 4 - 4 - 0)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -992, -1022, -1062, -1112?\n\"Answer: -5*j**2 - 15*j - 972","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = 19*v - 9. What is s(-5)?\nAnswer: -104","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -1\/6, -8, 1\/2, 0.3, 8\/17, -0.5, -0.19?\nAnswer: -0.19","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is (720\/(-55))\/(9522\/(-23276))?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.53009446560174 - -0.2.\nAnswer: 0.73009446560174","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 7 + 390\/(-54) - (-272)\/(-153).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -1586893 and 0.3?\nAnswer: -476067.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = 2*r**2 + 10*r. Let d(x) = 2*x**2 + 9*x. Calculate 7*d(c) - 6*h(c).\nAnswer: 2*c**2 + 3*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 12*(34\/3)\/(-17).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-2)\/6)\/((-37)\/333). Find the first derivative of -2*z**3 + 49 + 176*z + 8*z**p - 175*z wrt z.\nAnswer: 18*z**2 + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -121\/96 and 4\/14 + (159278\/(-2940))\/(-31)?\nAnswer: 480","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 3426995?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: ba (base 15) to base 7\nAnswer: 340","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s + 5*s + 17 = 2*h, 0 = 4*s + 4. Let b(f) = -h*f + f + 7*f + 3*f. Determine b(-4).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = -136*p**2 - 9*p - 9. Let t(v) = 1061*v**2 + 0 + 1030*v**2 - 2 - v - 2125*v**2 - v. What is -2*l(c) + 9*t(c)?\nAnswer: -34*c**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 142, 297, 452, 607, 762, 917?\nAnswer: 1072","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -3768\/7 + 538. Which is the closest to 3? (a) -1\/2 (b) 5 (c) -4\/3 (d) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 34238196 to the power of 1\/3, to the nearest integer?\nAnswer: 325","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 116 + -107. Let j = u - 10. Sort 0, 5, -121, j in increasing order.\nAnswer: -121, j, 0, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -110696, -118186, -125676, -133166, -140656?\n\"Answer: -7490*b - 103206","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 4793, 9589, 14383, 19175?\n\"Answer: -l**2 + 4799*l - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 10738524 + 17?\nAnswer: 10738541","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l = 4*l + l. Suppose l = -9*d + 6*d + 87. What is the remainder when 260 is divided by d?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 107.76065 to one dp.\nAnswer: 107.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = -16*c**2 - 2*c + 8306. Is z(0) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 49 divide 44618?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -55*q = -194 + 29. Suppose 3*d + 6 = -4*x, -x + 3*d = 3 - 9. Sort q, 5, x, -2 in descending order.\nAnswer: 5, q, x, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (72 + 64 - 109 + 1 - 2 + 0 + (0 - 2 + 0)*(3 + 0 - 4))*(-5*d - 1 + 1).\nAnswer: -140*d","meta":{"dup_signals":{},"source":"polynomials__expand_test"},"subset":"dm_maths"} +{"text":"Question: Expand (7*j - 9*j + 3*j)*(-3 + 6 - 4)*(-1 + 2 + 0)*(5*j**2 - 2*j**2 - 4*j**2).\nAnswer: j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -3\/11, -5, -2\/13, -199, 5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 25469308?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*w - 2109 = 1239. Suppose -3*z + 452 = -0*j - j, 0 = -2*z + 5*j + 310. Let x = w - z. What is the greatest common factor of x and 51?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + (-5 + 2 + sqrt(76) + 1 - (-6*-2*sqrt(76) + -4))**2 + 2 + 1.\nAnswer: -88*sqrt(19) + 9202","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-2)\/(-6)*-7*(-288)\/8. Suppose -7*j + 9*j - x = 0. Let w = 132 + j. What are the prime factors of w?\nAnswer: 2, 3, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 61420 and 36?\nAnswer: 552780","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 w when four letters picked without replacement from fffwffwffffwfwffwff?\nAnswer: 5\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 82*b**2 + 83*b**2 - 243*b**2 + 75*b**2.\nAnswer: -3*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -9 - -6.8. Let y = 0.2 - a. Let f = 2.39999915 - y. Round f to 7 decimal places.\nAnswer: -0.0000009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t + 25 = -4*v + 36, -2*v + 3 = t. Solve -5*a + v*x - 4 = -8*a, x - 1 = 0 for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.01435*-2\nAnswer: 0.0287","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 1\/5 of a meter?\nAnswer: 20","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 188112, 373759, 559406, 745053, 930700?\nAnswer: 1116347","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express 54*u + 0*u**3 + u**4 - 42*u - 4 - u**3 - 37*u + 0 in the form a*u**2 + c*u**4 + p*u + g*u**3 + n and give n.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -8151003 divided by 2727?\nAnswer: -2989","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = -9*u**2 + u - 1. Suppose -2*z + 5 = -5. Let l(a) = -14*a**2 + 2*a - 2. Let x(r) = z*l(r) - 8*d(r). List the prime factors of x(-2).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 490365 and 86535?\nAnswer: 1471095","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 2481917597 from -1.\nAnswer: -2481917598","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7529 divided by 3.\nAnswer: 7529\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = r - 1. Let d(k) = -3*k + 2. What is -3*d(i) - 6*u(i)?\nAnswer: 3*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3 - 2*r + 3)*(r**3 + 2*r**3 - 5*r**3) - r**4 + r**4 - 3*r**4 as w*r + b*r**4 + l*r**2 + t + n*r**3 and give b.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-20)\/(-11) + 22\/121. Solve d*l - l + 2 = 0 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 24 and 7011207?\nAnswer: 56089656","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = -3*c - 5*t - 4, 2*c - 3*t - 13 = 0. Let p(a) = -547 + a**3 + 279 - 3*a**3 + a**3 + a + 269. Calculate p(c).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20*g - 22*g = -34. Suppose 7 = -g*c + 10*c. Does 2 divide (6 + c)\/(6\/((-48)\/(-20)))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 631 a factor of 56699136?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (w**4 + 0*w**4 + 0*w**4)*(-4 - 3 + 5)*(w + 4*w + 3*w).\nAnswer: -16*w**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -268 - -248. Sort 3, 0.3, -1, c in descending order.\nAnswer: 3, 0.3, -1, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (7*1)\/(66\/462). What is the common denominator of -1\/11 and 218\/3444 + (-28)\/n?\nAnswer: 2706","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 12327 is divided by 52.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 453, 1455, 2993, 5055, 7629?\n\"Answer: -2*y**3 + 280*y**2 + 176*y - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_test"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 21576?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 166727406.\nAnswer: 2, 3, 157, 379, 467","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 w when two letters picked without replacement from {m: 7, w: 4}?\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) be the second derivative of -z**5\/20 - 3*z**4\/4 - 17*z**3\/6 - z**2 - 2*z. What is the remainder when a(-8) is divided by 6?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30 = -3*t - 21. Solve 0 = 2*x - 3*x + t for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 297 is divided by 77.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*p = -5*u + 17, 21*u + p - 15 = 17*u for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 2717391, 5434721, 8152055, 10869393, 13586735?\n\"Answer: 2*p**2 + 2717324*p + 65","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 23 - 16. Let a = 407500 + -407504. Sort 0, -8, a, c in descending order.\nAnswer: c, 0, a, -8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -6*g**3*o**4 + 2*g**3 - 40*g**2*o**5 - 6*g**2 + g*o**2 wrt o.\nAnswer: -144*g**3*o - 2400*g**2*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve x**3\/3 - 2*x**2\/3 - x\/3 + 2\/3 = 0 for x.\nAnswer: -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:44 PM and 11:20 PM?\nAnswer: 156","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -25209.7*0.6.\nAnswer: -15125.82","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 4656 + -4633. What is the remainder when 0\/(4\/2) + 63 is divided by g?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*x - 14*x + 11*x.\nAnswer: x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = 99906*v. Let t(m) = -m + 12. Determine z(t(k)).\nAnswer: -99906*k + 1198872","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert 61.08941 milligrams to grams.\nAnswer: 0.06108941","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -56 = 3*b + 19. Let k be 378\/(-40)*-2 - (-10)\/b. Which is greater: k or 20?\nAnswer: 20","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p + 6 = -4*d - 7, 0 = -3*d - 12. Let m(s) = s**3 + 2*s**2 - 5*s - 4. Let v be m(-3). Solve -v = -t - p for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(72)\/((sqrt(4) - (sqrt(4) - sqrt(8)\/sqrt(2))) + sqrt(4)) - sqrt(18) - sqrt(2178)*-3)\/(-2*sqrt(27)\/((sqrt(3) - (sqrt(18)\/sqrt(6) + sqrt(3)))*5)).\nAnswer: 325*sqrt(2)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00000319 to 6 decimal places.\nAnswer: 0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -13*g**2 + 2*g**2 - 371*g**6 - 8494 + 8486 wrt g.\nAnswer: -44520*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-7410)\/(-265) + -5 - 912\/(-24168)?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -310 - 108 = -11*l. Suppose -5*a = 2*c - l + 7, 2*c = 6. Solve 0 = 4*i - a*i for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = 21*o. Let p(f) = 4*f. Give p(q(l)).\nAnswer: 84*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1300480 and 20?\nAnswer: 1300480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 60 and 50?\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1 - 7. Suppose 0 = 4*l + 3*f + 15, 0 = -l + 4*f - 581 + 582. Sort l, 1, g.\nAnswer: g, l, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 13*n + 6 + 98. Let y be ((-2)\/37)\/(12\/n). Which is greater: y or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 z and 2 h when three letters picked without replacement from {h: 2, z: 5}.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*((sqrt(288) - (sqrt(288) + 4*(2 + sqrt(288)) + sqrt(288)) - sqrt(288) - (-5 + sqrt(288)*1)) + (sqrt(64)\/sqrt(2) - sqrt(32))*5 + 4 + sqrt(288)))**2.\nAnswer: -576*sqrt(2) + 41476","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 257745?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((d\/(d*d**(1\/2)*d))\/d)**(7\/6)*d**(-5)*d**(-2\/31)*d)\/((d**(-1\/5)\/d**(1\/3))\/(d\/((d*d**1*d)\/d))**(-1\/6)) assuming d is positive.\nAnswer: d**(-11683\/1860)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -31 (base 6) to base 8\nAnswer: -23","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Product of -4 and 35.\nAnswer: -140","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 6781 - 6779. Let f = 2 + -1.98. Sort 0.5, -3, f, d in descending order.\nAnswer: d, 0.5, f, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = a + 2. Let i(u) = -u**3 - 6*u**2 + 6*u - 3. Let l be i(-7). Suppose -5*m + l*m + 6 = 0. Calculate the remainder when 22 is divided by p(m).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (11\/(1155\/(-40)))\/(-4)?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0.5, -495, -0.3, 4441, 0.01, 5?\nAnswer: -495","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = -r**3 - 5*r**2. Let s be h(-5). Let k be 1\/(3 - s)*3. Are 1 and k non-equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4)\/(-3)*-12 - -12?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = -23*m - 24. Let p be f(-2). Suppose 2*r + l = 2*l + p, l - 22 = -2*r. What is the smallest common multiple of 1\/(-3) + (-539)\/(-33) and r?\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*m + 2*m - 1205. Let w = m - 3135\/13. Let y = 0.695 + -0.695. Which is the second biggest value? (a) 2\/3 (b) w (c) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of ((-104)\/6)\/(3\/(-9))?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2)\/238*84*(-57)\/228?\nAnswer: 3\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 50487904*u**3*x - 4*u**3 - u**2 + 51260*u - 10 wrt x?\nAnswer: 50487904*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 13158529 is divided by 1387.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 33501502 to the power of 1\/4, to the nearest integer?\nAnswer: 76","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 458*q + 1187*q - 358*q + 1265*q + 58*q to the form w*q + o and give w.\nAnswer: 2610","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -20*p**2 + 42*p**2 - 17*p**2.\nAnswer: 5*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r - 390 = 4*r + 5*d, -390 = r - 2*d. Let f be 2\/13 - (-840)\/r. Let x(p) = 4*p - 1. Determine x(f).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.3 - 0.2. Let x = -3.35 + 7.35. What is the closest to 14 in -1\/4, x, s?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 154521?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4490415 is divided by 898064.\nAnswer: 95","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0.11, -91\/2, -3\/5?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xui when three letters picked without replacement from uixgz.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 83.634 - 79.6. Let n = -415.034 + 415. Let x = n + l. Is -2\/5 not equal to x?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 72\/(-408) + 39\/(-357)?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -8 - -2. Let d = 18 + -17.9. Let v(m) = -4*m**2 - 31*m - 42. Let r be v(-6). What is the biggest value in q, d, r?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m - 260 = 4*b + 25, 4*m - b = 239. Let u = 57 - m. Let g(z) = 118*z**2 + 7*z + 5. Is g(u) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1\/1638577 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*y + 0*y + 9*y = 0 for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: (6\/((-18)\/3))\/1\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) be the third derivative of -d**4\/24 + d**3 - 2*d**2. Let i be j(3). Determine g, given that -3*g + 4 + 3*g - g**2 - i = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -6.217 - -6.2. Let h = g + 0.017. Which is bigger: 2\/7 or h?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*p + 118 = 12*p - 106 - 22 for p.\nAnswer: 41","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -15\/374 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 + 27 + 0 + 2 + (-11 - -11).\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -53.2 + 62. Let y = 9 - b. What is the nearest to y in -5, 0.1, -4\/3?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 4\/(-6) + 552\/72. Suppose 0 = -i*n + 9*n - 282. Suppose -3*y + n = -3*f, -y - 2*f = 2*y - 126. What are the prime factors of y?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-6)\/(-4))\/(10\/(-4)).\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = -13*t**3 + t**2 + t - 1. Calculate k(1).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 71903049 + 507006\nAnswer: 72410055","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = -64*o**4 - 18*o**3 + 4997. Let m(t) = -446*t**4 - 126*t**3 + 34980. Let f(s) = -3*m(s) + 20*r(s). What is the first derivative of f(i) wrt i?\nAnswer: 232*i**3 + 54*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 4 and 33.\nAnswer: 132","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let -9\/4*n**2 + 0 + 3*n**5 - 21\/2*n**3 + 0*n - 21\/4*n**4 = 0. Calculate n.\nAnswer: -1, -1\/4, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 1.05, 7, 747.4, -2, -0.4?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -85\/4396 and 1\/3392.\nAnswer: 3727808","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 16252 - -26?\nAnswer: 16300","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r + 1 - 2 = -3. Let s(l) = 8*l + 8. Let w(z) = -4*z - 4. Determine r*s(j) - 5*w(j).\nAnswer: 4*j + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c = 3*p + 2*p - 165, 2*p = c + 66. Let x = p + -29. Suppose -968 = -4*v - x*v. Is v a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -11 (base 6) to base 11\nAnswer: -7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*j**3 - 3*j**3 - 2*j**3)*(-j**2 - 1 + 1).\nAnswer: 10*j**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = y**3 - 11*y**2 + 13*y + 40. Give p(5).\nAnswer: -45","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is (2 - (-9 + 0)) + 1043 + -1031 + 2?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_test"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 1551 - -3bb?\nAnswer: 1950","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 56108840.\nAnswer: 2, 5, 17, 109, 757","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -112664\/459 + 2210\/9. What is the common denominator of 28\/255 and u?\nAnswer: 2295","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 503783 is divided by 192?\nAnswer: 167","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -8*(-5 - (-115)\/20). Let c(z) = -z**3 - 5*z**2 + 5*z + 3. What is the remainder when 21 is divided by c(l)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*w - 89 = 5*h - 59, 0 = 4*h - 2*w + 16 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 38 and 16.\nAnswer: 304","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18*h = -109*h - 34*h - 13685 for h.\nAnswer: -85","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -240, -1\/4, -9\/8 in ascending order.\nAnswer: -240, -9\/8, -1\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 3522136?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 7, b: 1, w: 6}. Give prob of picking 1 b and 1 w.\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -522*z - 4515 = -176*z - 180*z - 201*z for z.\nAnswer: 129","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = -12*a - 3. What is the least common multiple of f(-1) and 89?\nAnswer: 801","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -4 and -144421476015.\nAnswer: -144421476019","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a - 2*m = -10, 3*m + 2 - 17 = 5*a. Suppose 0 = -6*b + 3*b + 15. Suppose -3*q = -4*q + b. Solve -q*z - 4 = -5*h + 1, a = -5*h + 4*z + 4 for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11687281 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Add together 330978125762 and -294.\nAnswer: 330978125468","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from bbjbuuuuujuvddb. What is prob of picking 2 j?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 21599352*j**2 + 26830502.\nAnswer: 43198704*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.3 + -2.7. Let f = -4211.96 + 4212. Which is the fourth smallest value? (a) 3\/2 (b) 2\/3 (c) v (d) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = 64*l**2 + 9*l - 19. Let q(p) = 54*p**2 + 10*p - 18. Let h(j) = -5*c(j) + 6*q(j). Let m(b) = 2*b**2 + 7*b - 6. Calculate 6*h(t) - 13*m(t).\nAnswer: -2*t**2 - t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-1)\/1 + 10\/6. Let j = -109.3 + 109. Let t = 8 - 3. Which is the closest to -2\/7? (a) t (b) q (c) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:15 PM and 7:32 PM?\nAnswer: 317","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 0.8*-1711.439\nAnswer: -1369.1512","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 34131 - 16381. Suppose -49*c + w = -39*c. What is the tens digit of c?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = r**3 + 6*r**2 - 5*r + 5. Let d be j(-6). Suppose p + d = 45. What is the highest common factor of 90 and p?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22*v - 3*v = 0. Let j(t) be the first derivative of -3\/4*t**4 + 3\/5*t**5 + 1\/3*t**3 - 1\/6*t**6 + 8 + 0*t**2 + v*t. Suppose j(x) = 0. What is x?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 204 is divided by 30?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -105\/13 + 328\/39. Which is the closest to -0.1? (a) g (b) 5 (c) 4 (d) 0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -3 + 2.7. Let y = -0.12 - 0.38. Which is the second biggest value? (a) t (b) -2\/5 (c) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 954bdb + 1c?\nAnswer: 954c19","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(228)\/(sqrt(1200)*-2) + -5.\nAnswer: -5 - sqrt(19)\/20","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = 20*z**2 + 19*z - 33. Let w(n) = 7*n**2 + 7*n - 12. Let p(y) = -4*r(y) + 11*w(y). What is p(2)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q - 3 = 3*r, q + 3 = -r + 1. Suppose -q*h + 2*h = 4*l - 2124, -5*h = -5*l + 2680. Does 14 divide l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -3\/521345 >= 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 585152?\nAnswer: 2, 41, 223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -1.15 times -46.4\nAnswer: 53.36","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor 1\/5*s**3 - 7\/5*s**2 - 6\/5 - 13\/5*s + 1\/5*s**4.\nAnswer: (s - 3)*(s + 1)**2*(s + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -7 + 6.94. Let i = -275 - -1371\/5. What is the second biggest value in 0, l, i?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 17035424 * 0.2\nAnswer: 3407084.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = -10*h**2 - 462*h + 12537. Let o(r) = -6*r**2 - 232*r + 6268. Let z(l) = -7*o(l) + 4*w(l). Factor z(c).\nAnswer: 2*(c - 56)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:11 PM and 1:07 AM?\nAnswer: 176","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round -24500000 to the nearest 1000000.\nAnswer: -25000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v - 12 = v. Let f be (-308)\/(-693)*18\/4. Suppose j = -4*j. Solve -v = -j*t - f*t for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = q. Let v(c) = -69*c. Give r(v(g)).\nAnswer: -69*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 2736835838.9999861 + -2736836007. Let n = -168 - p. What is n rounded to 6 decimal places?\nAnswer: 0.000014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 87\/1415402 and 16\/224393?\nAnswer: 18400226","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-4)\/10 - 4\/(-10). Let l be c*(-1)\/(-4 + 3). Let 0*k + 0*k**2 + 1\/4*k**4 + 0 + l*k**3 - 1\/4*k**5 = 0. Calculate k.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 80425801 and 80425800 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) 11\/19 (b) 1\/9 (c) 1\/4 (d) -412\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:41 AM and 7:03 PM?\nAnswer: 502","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:19 AM and 1:05 PM?\nAnswer: 646","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*r - 5 + 11. Suppose -1 + 11 = r*o. Let h(k) be the third derivative of k**5\/60 - 7*k**4\/24 + k**3\/2 + k**2. What is h(o)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 60\/2 - 2*6\/(-4). Suppose 5*p - 5*u = 10, -3*u + 1 = 5*p - a. Suppose 47 + 1 = 4*n. Solve p*w + n = 2*w for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 34, 10, -76, -224, -434, -706, -1040?\nAnswer: -1436","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b**2\/4 - 1065549*b\/4 + 532773\/2 = 0. Calculate b.\nAnswer: 1, 355182","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*i + 49 - 7. Let a be (-22)\/(-66)*3\/i. Sort a, 0.2, -1, -2\/31.\nAnswer: -1, -2\/31, a, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 83\/172905 and -2\/35.\nAnswer: 1210335","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-5595)\/(-8952))\/(2\/(-32)*-2)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f + 9 = -3. Suppose -2*h - 12 = -2*g + 2*h, f*g = h + 8. Suppose -g*r - 3 = -11. What is the units digit of r?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -33 = -4*b + 3*s + 35, 5*b - 3*s = 82. Suppose 3*k = -2*l + b, 3*k + 2*l - 26 = 6*l. Calculate the remainder when 38 is divided by k.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) be the third derivative of v**5\/60 + 7*v**4\/24 + 2*v**3\/3 + 4*v**2. Determine a(-5).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (3 - (-3 - -13 - 3)) + 4?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 r when three letters picked without replacement from mrwmbbmmbbbrmrmwmbbb.\nAnswer: 1\/1140","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 2 + -2 + 1 + -1. Suppose j - 41 - 7 = -4*n, d = -4*n + 4*j + 48. Suppose 5*u - 2*b = 23 + 4, 0 = -3*b + n. Solve 4*z - 27 + u = 0 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 15860 and 68810440?\nAnswer: 894535720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) be the first derivative of 0*k**2 + 3 - 1\/4*k**3 + 0*k**4 + 3\/20*k**5 + 0*k. Factor l(r).\nAnswer: 3*r**2*(r - 1)*(r + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = -4*r**2 + r**3 + r**2 + 7*r**2 - 7*r - 3. Let t = 18 + -23. List the prime factors of u(t).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6.899351453 rounded to 1 dp?\nAnswer: 6.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = 7*y + y**3 - 7*y + 3 + 3*y**2. Let w be d(-3). Let r be (3 - w) + 10\/8. Are 2 and r equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5867 a factor of 4580749476?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -5 + 7. Suppose -4*f = z - 94, -5*f + 0*z = 4*z - 112. Suppose -5*c - 11 - f = -5*r, -p*r + 6 = 2*c. Put -1, 3, c in increasing order.\nAnswer: c, -1, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-4*sqrt(550)*-2 - sqrt(550))\/sqrt(11))\/(3*sqrt(40) + sqrt(810) + 2*sqrt(810) + sqrt(810) + sqrt(810)).\nAnswer: 7*sqrt(5)\/51","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1126055 (base 7) to base 2.\nAnswer: -100010100000101100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -5? (a) 0.5 (b) -53 (c) 0.3 (d) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -7\/6 (b) 11 (c) -2\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -52 + 30. Let t = -17 - f. What is the least common multiple of t and 1?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20*s - 815 = -195. What is the units digit of s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 33637280.\nAnswer: 2, 5, 210233","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-4 + 672\/189)\/(-1 + 2\/6). Which is the second biggest value? (a) v (b) -1\/30 (c) 11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 47.22168 millilitres in litres?\nAnswer: 0.04722168","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*d - 4*n + 16 = 0, 8 = 4*d + n + n for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -4.93705 + -0.06295. Let i be (1 + (-45)\/42)*4. Suppose q = 1 - 0. What is the closest to q in i, d, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -186 + 254. Suppose -66*m + p*m - 1072 = 0. What are the prime factors of m?\nAnswer: 2, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2\/41309115 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12*q - 45 = 5*x + 7*q, -3*q = 3*x - 3 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = -8*s**3 + 2*s**2 + 4*s + 3. Calculate the remainder when q(-2) is divided by 17.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7596431 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (27\/36)\/(-2*(-56)\/64)?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 57 * -0.4\nAnswer: -22.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g - 4*f = 6, 0 = g + 2*f - 0*f - 2. Let u = 0 + g. Solve -2*s - 12 + 4 = q, -4*q - 12 = -u*s for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 11192 and 2760?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = -2557*v + 307. Let q be l(-7). Let f be q\/4 - 3\/2. What is f rounded to the nearest 100?\nAnswer: 4600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*x = -3*j + 2 - 3, 2*x - 5*j + 9 = 0 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 203 - 112. Round k to the nearest 10.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b*b**(1\/6))\/((b\/(b*b*b\/(b*b**5*b)))\/b)*(b**(-5\/3))**(-39))**17 assuming b is positive.\nAnswer: b**(6341\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -120343 (base 9) in base 15?\nAnswer: -16703","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify d**17*d*d*((d\/((d*d**2)\/d)*d)\/d)\/d*d*d*d assuming d is positive.\nAnswer: d**20","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -43 + 12. Let h = -29 - b. What is the remainder when (3 - 21\/6) + 93\/h is divided by 17?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1665621 is divided by 930?\nAnswer: 921","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -14394 + 31719. Suppose 12*y + 13*y = t. What are the prime factors of y?\nAnswer: 3, 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from addaayadda. Give prob of picking 3 d and 1 a.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r**2 - 2934*r - 56107 = 0. Calculate r.\nAnswer: -19, 2953","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6*k - 2*k + k)*(0*k - 2*k - k) + (3*k - 3*k - 2*k**2)*(-4 + 0 + 3).\nAnswer: -13*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 501.1 + -501.10199852. Let c = -12169.002 + 12169. Let w = m - c. What is w rounded to seven decimal places?\nAnswer: 0.0000015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = -31*q + 159. Let o be u(5). Let x(w) = 19*w - 72. Let b be x(o). Find m, given that 3\/2*m**3 + 0 + 0*m - 1\/2*m**b - m**2 = 0.\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-4)\/4)\/(-1)*-5.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n - 5*n = 0, -2*k + n = -4. Find the second derivative of -3*s**k + 3*s + 9*s**3 - 10*s**3 + 3*s**2 wrt s.\nAnswer: -6*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 137, 134, 145, 176, 233, 322, 449?\nAnswer: 620","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 56711*n**2 - 3 - 56737*n**2 + 3.\nAnswer: -26*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 237, 244, 263, 306, 385, 512, 699?\n\"Answer: 2*k**3 - 6*k**2 + 11*k + 230","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 8\/293 + 23677\/2051. Put z, 4, -0.3 in descending order.\nAnswer: z, 4, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = 4*w**2 + 7119627. Let j(s) = 3*s. Give l(j(d)).\nAnswer: 36*d**2 + 7119627","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = 19*f + 1 - 19*f + f**2. Let n be a(-3). Let p be (-384)\/60*n\/(-2). Calculate the highest common divisor of p and 48.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 35451 + -19537. Is 9 a factor of l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 193910 is divided by 114.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = 9 - 13*i + 301*i**2 - 300*i**2 + 4*i. Suppose 0 = 5*a - g - 40, -3*a + 11 = -g + 3*g. Calculate d(a).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -153*n + 287*n - 1742 for n.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*f + 33 = 21*y + 135, -2*f = -18 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -181687987, -363375968, -545063949, -726751930?\n\"Answer: -181687981*q - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6 = 2*z - 6*c + 2*c, 0 = -2*c + 8 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = 2*l**2 - 2. Let z be y(2). Let h = z - 4. Suppose h*d - 5*a - 100 = -3*d, -10 = d + 5*a. Is d a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w = -11323 - 1963. Let d = 9316 + w. Is d composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 - (4 - (-9 + 7) - 6).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 310 and 8823065.\nAnswer: 155","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b - 5*a = -b, 5*b = 3*a. Let x = -0.04 - -5.04. Let t = -4.7 + x. What is the third smallest value in -0.5, b, t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 + 2 - 5)*(y**5 + 0*y**3 + 0*y**3) + (-2*y**2 + 2*y**2 - 3*y**2)*(0*y**3 - 2*y**3 - y**3) - 20*y**5 - 2*y**5 + 2*y**5.\nAnswer: -10*y**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -5 + 24430?\nAnswer: 24423","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -3664 or -3665?\nAnswer: -3665","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -196902 and -1617.\nAnswer: 318390534","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -0.22 (b) 0.4 (c) -23 (d) -0.4 (e) -1.1 (f) 1\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is seven sixteenths of a minute in milliseconds?\nAnswer: 26250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -42 times -8636?\nAnswer: 362712","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 3577 and 2467181?\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-24479*n - 282*n**4 + 24479*n)*(3 - 2*n - 3)*(-1 + 4 - 4).\nAnswer: -564*n**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 19\/208654149 and 56\/114081?\nAnswer: 208654149","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 168617804*y - 176590005 wrt y?\nAnswer: 168617804","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 z and 1 i when three letters picked without replacement from ieiyzzzyii.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -731, -772, -813, -854, -895, -936?\n\"Answer: -41*x - 690","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 6\/(-1 - 26\/(-22)). Suppose 0 = 32*a - n*a + 94. Suppose 2*o = 5*o - 5*j - a, 0 = j - 1. What is the highest common divisor of 3 and o?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*q**3 + 8*q - 2*q**3 + 0*q**3.\nAnswer: -4*q**3 + 8*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 g and 2 f when three letters picked without replacement from {g: 4, e: 6, w: 1, k: 2, f: 2}?\nAnswer: 4\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from vvuvvvuvv. Give prob of sequence vvu.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2076 by 6.\nAnswer: 346","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u - 4*n - 6 = -22, n + 5 = 2*u. What is the remainder when 25 is divided by u?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 47471 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.494593 rounded to 1 dp?\nAnswer: -1.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put -23, 21, 15 in decreasing order.\nAnswer: 21, 15, -23","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: (-25 - -16 - -26 - 40) + -8\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 m and 1 l when two letters picked without replacement from {h: 5, l: 1, m: 3}?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.4727623073 rounded to two decimal places?\nAnswer: 0.47","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = -z**3 - 9*z**2 + 705*z - 454. Give v(22).\nAnswer: 52","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 44 minutes after 10:30 AM?\nAnswer: 11:14 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (16\/36)\/((-34)\/(-98991))?\nAnswer: 2, 647","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 7490, 7754, 8052, 8378, 8726, 9090, 9464, 9842?\n\"Answer: -g**3 + 23*g**2 + 202*g + 7266","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 133\/(53067\/228)*(-1)\/(2\/98).\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -0.0444055 and -38569613.\nAnswer: -38569613.0444055","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-16)\/12 + (-1400)\/120.\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + sqrt(200))*-6.\nAnswer: -60*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 + 6 = -2*y. Let b be (124\/6)\/(y\/(-6)). Suppose 2*x + x - b = -2*r, 4*x + 3*r = 43. Calculate the highest common factor of 7 and x.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in 0.604458 milliseconds?\nAnswer: 604.458","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6*i**2 + 0 + 0 + (-3*i + 5*i - i)*(2*i + 0 + 0) - 4*i**2 + 6*i**2 - 3*i**2 + (-4*i**2 + 0*i**2 + 0*i**2)*(-47 - 83 + 32))*(5*i**2 - i**2 - 2*i**2).\nAnswer: 798*i**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 342?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 17, j: 3}. Give prob of picking 2 j.\nAnswer: 3\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-11)\/110*5)\/(6\/60).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-23220)\/(-344))\/135*-102*(-6)\/9?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(133) + sqrt(133)*-1)*5 - (sqrt(133) - sqrt(133)*2)*-6)\/(sqrt(378)\/sqrt(24)).\nAnswer: -4*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = -k**2. Let v be -3 - -1 - -1 - -7. Let z(j) = j. Let w(m) = -4*m. Let r(o) = v*z(o) + w(o). Determine r(h(y)).\nAnswer: -2*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -39f + -ac?\nAnswer: -44b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = v**2 - 2*v - 3. Give a(3).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round -175600.587 to the nearest one thousand.\nAnswer: -176000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 414.5 - 414.4. Put 0.2, -2\/1385, q in increasing order.\nAnswer: -2\/1385, q, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m + 73 = p, 0*m - 320 = -4*p - m. Does 9 divide p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 0 - -141c?\nAnswer: 141c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 11\/((-106)\/36 - (-6 + 3)). Find the second derivative of -3*z**3 + 3*z**3 - v + 176 - 66*z**5 + 3*z + 0*z**3 wrt z.\nAnswer: -1320*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 3782196 and 12.\nAnswer: 45386352","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -560 + 393 + -1 + 88?\nAnswer: -80","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 317? (a) -0.57 (b) -2\/17 (c) -2 (d) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 8, 19, 38, 65, 100?\nAnswer: 143","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = 3*n**3 + 6*n**2 + 36. Let t(l) = 3*l**2 + 2. What is -h(z) + 2*t(z)?\nAnswer: -3*z**3 - 32","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 19664318 minus 134.77?\nAnswer: 19664183.23","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = -335001*q + 2. Let m be i(2). What is m rounded to the nearest 100000?\nAnswer: -700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (s**2 + 0*s + 0*s)*(-4*s + 2*s + 4*s) + (-4*s**2 + s**2 + 5*s**2)*(-2 + 2 + 2*s) + 603 + 74*s**3 - 603.\nAnswer: 80*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 273?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-5*sqrt(400) - sqrt(16)) + (sqrt(80)*-1)\/sqrt(5))\/((sqrt(576) + sqrt(16) + sqrt(16))\/sqrt(2) - (sqrt(8) + sqrt(40)\/sqrt(5)*5)) + 4.\nAnswer: -27*sqrt(2)\/2 + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 7 - 5. What is the first derivative of 0 + 1 + 1 - 5 + j*v**4 wrt v?\nAnswer: 8*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -611 + 605. Let v(q) be the third derivative of q**6\/120 + q**5\/10 - q**4\/12 - 4*q**3\/3 + 7*q**2. Give v(g).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 47143547*f**4 - 40222065?\nAnswer: 188574188*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 8575 (base 12) in base 10?\nAnswer: 14633","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = q**2 + 5*q + 1. Let u(o) = -13*o + 12. Let r(s) = -4*s + 4. Let z(y) = -3*r(y) + u(y). Determine d(p) + 6*z(p).\nAnswer: p**2 - p + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.09 - -0.31. Which is the closest to -3? (a) -2 (b) 0 (c) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 130*b**2*m + 56618093*b**2 + 327695*b*m - 2*m - 2 wrt m?\nAnswer: 130*b**2 + 327695*b - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -135410 (base 6) in base 10?\nAnswer: -12894","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6 = -2*x - 3*s + 1, -x = -5*s + 29 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -22\/29 (b) 222.1 (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*b - 481 = 6*b. Is b a multiple of 37?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 3251\/28 + -116. Let z = -4.61385 + -0.38615. Which is the smallest value? (a) z (b) k (c) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (54*d + 3*d + 16*d)*(4*d**3 - 4*d**3 + 3*d**4).\nAnswer: 219*d**5","meta":{"dup_signals":{},"source":"polynomials__expand_test"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.078 in -0.3, 75, -0.1, -0.2, -5?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/4 in -4\/567529, 0, 2\/9?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -63.9999967 + 64. Round x to six decimal places.\nAnswer: 0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 11*j - 3 - 19. Solve 1 = -g - j*u + 2, 4*g = -u + 11 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3 + -3 + (7 - 7).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 91, 113, 151, 205, 275, 361?\nAnswer: 463","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 2903711 to the power of 1\/3, to the nearest integer?\nAnswer: 143","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Determine m, given that 4*m**4 - 20*m**3 - 28*m**2 + 20*m + 24 = 0.\nAnswer: -1, 1, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*g - 486 = -71*g for g.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/7? (a) 7 (b) -4 (c) 84 (d) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) be the first derivative of -154*w**2 + 5*w + 14. What is the units digit of s(-1)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = -n - 45747*n**2 - 7*n + 45748*n**2 - 20. Calculate k(15).\nAnswer: 85","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 3 - 1)*(0*z - 3*z + z) - 2*z + 12*z - 3*z - 4*z + 5*z - 2*z + (-7 + 2 + 3)*(0*z + 0*z + 2*z)*(-15 - 4 + 0).\nAnswer: 84*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -306\/65 + 56\/13. Which is the closest to w? (a) -1\/2 (b) 1 (c) -2\/5 (d) -45\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 42867 and 396?\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00128843713 to 5 decimal places.\nAnswer: 0.00129","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 8342?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (24\/2)\/(2 - 700\/357). Let s = c + -295. Solve -a + 2*l - s = 0, 2*l = -4*a - 2*l + 16 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 3.6 + -0.2. Let k = -3 + t. Which is the closest to 0.1? (a) 0.5 (b) 3\/14 (c) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hlv when three letters picked without replacement from lpvhppvlvpppvvlvpp.\nAnswer: 1\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 y when two letters picked without replacement from {l: 2, h: 6, d: 5, o: 3, y: 2, q: 1}?\nAnswer: 1\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 1108 a factor of 3054295?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -16 in 15, -4, 3\/10, -2\/11, 2\/33?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round 2598.795 to the nearest integer.\nAnswer: 2599","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -27770 or -27696?\nAnswer: -27696","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = -t**3 + t**2. Let o be 14\/18*3 + (-1)\/3. Let k(z) = 15*z**3 - 3*z**2. Let b(r) = o*x(r) - k(r). Find the third derivative of b(f) wrt f.\nAnswer: -102","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*u - 6 = 9*u, -3*d + 4*u = -273. What is the highest common factor of 435 and d?\nAnswer: 87","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*f - 13*v - 16 + 14 = 5*f - 9*v, 3*v + 5 = 2*f for f.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Are -1\/2 and -1527 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is seventeen halves of a decade in months?\nAnswer: 1020","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((-2*(sqrt(231)*-2 + sqrt(231)))\/sqrt(7))\/(((1*sqrt(220))\/sqrt(5))\/sqrt(4)))**2.\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) -0.5 (b) -2 (c) 10\/7 (d) 13\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) be the first derivative of -y**9\/504 - y**5\/30 - y**2\/2 + 2. Let v(l) be the second derivative of c(l). Find the third derivative of v(p) wrt p.\nAnswer: -120*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = -3*t**2 - 5*t + 6. Let z(r) = 12*r - 53. Let l be z(4). Let u(x) = -x**2 - 2*x + 3. Determine l*u(k) + 2*o(k).\nAnswer: -k**2 - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -106.916 - 0.084. Let b = -290 - -190. Let h = a - b. Is -6 > h?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = -h**3 + 8*h**2 + 6*h + 17. Determine c(9).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4360098571.\nAnswer: 31, 140648341","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p = 4*x + 24, 0 = -45*x + 50*x - 2*p + 17. Let y(w) = 2*w + 4. Let d(n) = 5 - 3*n + 5*n + 0. Suppose 0*o + o - 6 = 0. Calculate o*y(r) + x*d(r).\nAnswer: 2*r - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 370187 is divided by 68.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) be the first derivative of 9\/2*f**2 + 76 + 30*f - f**3. Factor s(z).\nAnswer: -3*(z - 5)*(z + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14*d + 1163 - 1891 = 14*d for d.\nAnswer: -26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -224, -412, -570, -704, -820, -924?\nAnswer: -1022","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.0894 - -0.0894056. What is o rounded to 5 decimal places?\nAnswer: 0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 236870 a multiple of 164?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u**2 - 611160*u - 160596742 = 0. Calculate u.\nAnswer: -305317, -263","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 - (4 + -3) - -1?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00052933425 rounded to six dps?\nAnswer: 0.000529","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = -1542*b - 13. What is the hundreds digit of c(-2)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -15103 - -101203?\nAnswer: 42100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 58 and 124521505?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -237\/28 + 54\/7. Let s be 4\/(-6) - (2 + -2). What is the nearest to 0 in s, o, 1?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 59, 210, 575, 1262, 2379, 4034, 6335?\n\"Answer: 18*h**3 - h**2 + 28*h + 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -28065, -56119, -84173, -112227?\nAnswer: -140281","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = -233*d - 11266. What is q(-46)?\nAnswer: -548","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-2 + 1)\/(4\/868). Round j to the nearest 10.\nAnswer: -220","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y - 48 = 2*q, -3*y - 2*q + 0*q = -72. Suppose 0 = -l - l + y. Is 12 a factor of l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l = -4*f + 15, -l - 4*f = f - 24. Let v be -2397 + l + -4 + 2. What is v rounded to the nearest one thousand?\nAnswer: -2000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -682155 and -0.3 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -40, -44, -58, -88, -140, -220?\n\"Answer: -q**3 + q**2 - 40","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 1470, 1484, 1520, 1590, 1706?\n\"Answer: 2*p**3 - p**2 + 3*p + 1466","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 387 is divided by 204?\nAnswer: 183","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = -57*y**3 + 5*y**2 - 13*y**2 - 1 - 2*y + 4*y**2 - 3*y. Is t(-2) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 3 - 0. Let m = -2.5 + 3. Let d = -36 - -179\/5. Which is the closest to -2? (a) d (b) x (c) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 645.52191 to the nearest ten.\nAnswer: 650","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = 2*c**3 - 6*c**2 + c - 4. Let y be w(3). Does 26 divide (-1810)\/(-35) + ((-6)\/21)\/y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 115911 and 61236?\nAnswer: 3245508","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -2.12 - -3.12. What is the nearest to -1 in v, -0.2, -0.02?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p - 5400 = -2*s, -54*s = -58*s. Does 12 divide p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 x and 1 h when two letters picked without replacement from {h: 3, x: 5, g: 2}?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 1156428745 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1818*r = 1829*r + 99 for r.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 16? (a) -2 (b) -2\/13729 (c) -2\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 1466e3 + 2?\nAnswer: 1466e5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -285*r - 8*r**3 + 285*r.\nAnswer: -8*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is -707589 smaller than -707589?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 75\/4 + -18. Let x = -321.1 - -321. Let r = 3 - 5. Which is the third biggest value? (a) r (b) x (c) -3\/5 (d) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:10 PM and 5:06 PM?\nAnswer: 296","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = -2*h**2 + 5. Let n(o) = o**2 - 2. Let c(p) = 2*k(p) + 5*n(p). Let d(s) = -13*s. Determine c(d(a)).\nAnswer: 169*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 235084, 470163, 705242, 940321, 1175400, 1410479?\nAnswer: 1645558","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: (40\/(-80))\/(15\/24)\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-602)\/(-15480)*(-38)\/(-133).\nAnswer: 1\/90","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = -5*f + 35. Determine d(8).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 18*l - 8566 + 8026 for l.\nAnswer: 30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 3255\/30*((-1)\/(-7) + 0) and 7\/492.\nAnswer: 492","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -4, 1\/4, -5, -8 in decreasing order.\nAnswer: 1\/4, -3, -4, -5, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*g**2 - 3*g - 83210 + 166080 - 82870.\nAnswer: 3*g**2 - 3*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:25 AM and 8:36 AM?\nAnswer: 251","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/2, -2, 249.\nAnswer: -2, -1\/2, 249","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 192703147 a multiple of 91?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 5 - -3. Suppose -j = 3*j + l. Let o be (15\/(-10))\/(1\/j). Is 2 < o?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -38*(-2 + (7 - 2) - 7). Suppose 4*y + v = -0*y + 4*b, -2*y + 4*b = 68. Let m = y - -50. Calculate the highest common divisor of 88 and m.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 145*h + 147*h + 150*h + 150*h - 587*h.\nAnswer: 5*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/11, 35, -1\/12 in increasing order.\nAnswer: -2\/11, -1\/12, 35","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 24 and 264.\nAnswer: 264","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (30 - -2) + (0\/(-3) - 2). What is the greatest common divisor of j and 705?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 306312, 306318, 306324?\nAnswer: 306330","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 282*z**5 - 3*z + 24.\nAnswer: 5640*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor 224*d**2 - 13 + 8 - 13*d**3 + 5 + 9*d**3 - 3136*d.\nAnswer: -4*d*(d - 28)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -2\/5 (b) 424 (c) 7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6530 is divided by 241.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1\/16864268 or 0?\nAnswer: 1\/16864268","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = 834*l + 9867. What is m(-12)?\nAnswer: -141","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*y + 6*x - 7*x = 3, 2*y = -3*x + 5 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 114 + -112. Let g(j) = 4*j. Calculate g(b).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*o**4 - 3 + 3)*(-18 - o - 18 + 32).\nAnswer: -2*o**5 - 8*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -84 - 7?\nAnswer: -8b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Add -8047 and -0.142911.\nAnswer: -8047.142911","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2630032*i**2 + 190246*i**2 + 182435*i**2.\nAnswer: -2257351*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (3 - 6) + (-3 - 762)\/(-3). Calculate the smallest common multiple of 64 and x\/21 - (1 + 0).\nAnswer: 704","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 8353 and 30176?\nAnswer: 252060128","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 3a4 + 1ea?\nAnswer: 58e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -25*b = -138 - 12 for b.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 1949 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 2 + 0)*(-138*x - 4 + 65*x + 48*x + 6).\nAnswer: 50*x - 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/63 of a week in minutes?\nAnswer: 160","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1537 - 1537 - 53813*g.\nAnswer: -53813*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 p when two letters picked without replacement from psagpgaszpaapg.\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*k**2 + 0*k + 0*k + 6 + 7*k**2 - 6 + 6*k**2 - k**2 - 3*k**2 + (2 - 2 + k)*(-2*k + 0*k + 3*k) - 2*k**2 + 0*k**2 + 0*k**2.\nAnswer: 6*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 657 minutes after 5:11 AM?\nAnswer: 4:08 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1 + 16. Suppose u = 4*f - f. Suppose -4*i - f*l = -28 - 19, 3*l + 42 = 3*i. What is the remainder when 38 is divided by i?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from llvlvroggrorrvovgvg. What is prob of picking 2 v and 2 o?\nAnswer: 5\/646","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 284675497 is divided by 25.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 517 minutes before 6:07 PM?\nAnswer: 9:30 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 149, 507, 1015, 1673?\n\"Answer: 75*k**2 + 133*k - 59","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(5500) - 4*(sqrt(55) - (sqrt(55) + (sqrt(55) + sqrt(880) - sqrt(55)) - sqrt(55))))\/(sqrt(176)*1 - sqrt(22)\/sqrt(32)).\nAnswer: 88*sqrt(5)\/15","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) be the second derivative of 0 + 0*j**5 + 0*j**4 + 0*j**3 - 71\/30*j**6 - 145*j - 183\/2*j**2. Differentiate x(n) wrt n.\nAnswer: -284*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 113931356 a multiple of 77?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 l and 1 c when two letters picked without replacement from {c: 1, l: 6, e: 1, b: 1, h: 3, w: 6}?\nAnswer: 2\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 256*d**5*u**2 + 3*d**2*u - 2*d*u**2 + u**2 wrt d?\nAnswer: 15360*d**2*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-228)\/(-9))\/((-420)\/315).\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -20*n - 19 + 219. Suppose 5*u + p - n = 0, 4 = -7*u + 9*u - p. Find o, given that -2\/3 + 1\/3*o**u + 1\/3*o = 0.\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 24870 and 540.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 6.35486ng in micrograms?\nAnswer: 0.00635486","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 2\/(-5)*(-446195)\/(-40). Let a = -4461 - r. Find the common denominator of -33\/8 and a.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -238, -223, -190, -139, -70, 17, 122?\nAnswer: 245","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 5143 and 278.\nAnswer: 139","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 58 and 9912?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.7 - -0.67. Let x = 0.03 + i. Let u = 2 + x. What is the biggest value in u, -4, 2\/19?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 21\/7936 and 121\/18816?\nAnswer: 1166592","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 170\/4*140\/(-25). Is 18\/(-30) + d\/(-5) a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 105383, 210983, 316585, 422189, 527795, 633403?\n\"Answer: i**2 + 105597*i - 215","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -728931 rounded to the nearest one thousand?\nAnswer: -729000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 16 - 18. Let h be -2 + (-3 - -40 - a). What is the units digit of h + 1*(-2 - 0)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 46252?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 258678.\nAnswer: 2, 3, 7, 2053","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a - 16 = 2*d, 0 = -a + 6*a - 4*d + 40. Which is bigger: -0.1 or a?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (32 - 34)\/((-4)\/(-138)). Let q = k - -68. What is the third smallest value in 2\/7, q, 0.1?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 4116 and 9322950?\nAnswer: 913649100","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 854, 766, 678, 590?\n\"Answer: -88*d + 942","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p - 8 = -0*p, -3*y - 4*p - 1 = 0. Sort 3, y, -4, 1.\nAnswer: -4, y, 1, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (r**2 - 993*r + 14 + 7 - 5 - 20)*(2*r**2 + 3*r - 3*r) to d*r + z + f*r**3 + v*r**4 + h*r**2 and give v.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 21976 and 4264?\nAnswer: 328","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 65498 a multiple of 1016?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*r - 2*h - 11 = 0, -25 = 3*r + 3*h - 10 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 378.3347ug to milligrams.\nAnswer: 0.3783347","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 4 + -8 - (-12 + 11). Let q be l\/36*-6 + (-135)\/(-10). Put q, -3, 2 in descending order.\nAnswer: q, 2, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 609004 is divided by 12178.\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) be the second derivative of -5*k**4\/12 + 5*k**3\/6 + 15*k**2 + 2*k + 57. Determine x, given that r(x) = 0.\nAnswer: -2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) be the first derivative of -l**2\/2 + 3*l + 10. Let v(w) = 3*w - 10. Let n(r) = 1. Let m(h) = -3*n(h) - v(h). Give -7*j(f) + 3*m(f).\nAnswer: -2*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -24 + 265\/11. Which is the closest to 1? (a) -0.5 (b) -3 (c) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d - 2*z = 2, -z + 1 - 2 = 4*d. Let h = 3 + 2. Suppose 3*i = -9 - 6. Sort d, h, i in increasing order.\nAnswer: i, d, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 88 = 3*g - 4*z, 4*g = -0*z + z + 126. Let s = 104 - g. What is the highest common divisor of 18 and s?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 253212.\nAnswer: 2, 3, 21101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 12306, 8059, 3812, -435, -4682, -8929?\nAnswer: -13176","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -80*b - 115*b + 165*b.\nAnswer: -30*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = 9*y**3 - 3*y + 2. Let z be i(1). Let s be (-6)\/2 - 4*(-12)\/z. Solve s = 5*j - 2 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-4 - -8)*(-20043)\/68. Is -1178 != j?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 (base 11) in base 3?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = 17*k**2 - 22*k + 16. Is i(7) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = -y**2 - 13*y - 4. Calculate the lowest common multiple of 6 and g(-11).\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0 + 7 + 6 + -15 + (32 - 19)\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*j = -5*w, 14*w + 5*j - 18 = 18*w for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -19 - -21. Solve b*x = -3*x for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k*k**0)\/k**(-5))\/((k**(-6)\/k)\/k*k**6*k) assuming k is positive.\nAnswer: k**7","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3781?\nAnswer: 19, 199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor 21*c**3 - 111*c**2 + 30*c.\nAnswer: 3*c*(c - 5)*(7*c - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence cczz when four letters picked without replacement from zzcc.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -6 - (-6 + -5 + -7 + 4).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = s - 40 - 45. Let i be 2\/8 + s\/60*-3. Put 4, -10, i, -2 in descending order.\nAnswer: 4, -2, i, -10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 1124 and 5.\nAnswer: 5620","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = -8*l**2. Let m(x) be the first derivative of 8*x**3\/3 - 14. Give y(m(h)).\nAnswer: -512*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 3461432501 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l - 7 - 3 = 0. Suppose 0 = 2*r + 9 + 27. Let y = l - r. List the prime factors of y.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3748c (base 14) to base 10\nAnswer: -135364","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 69*h - 198*h - 306*h + 62*h.\nAnswer: -373*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in one fifth of a hour?\nAnswer: 12","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from snsxuuuunusw. Give prob of picking 1 x and 1 n.\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 103205?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0 (b) 7 (c) 13\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pkpk when four letters picked without replacement from {k: 1, p: 12}.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = -4*f + 6 + 4*f + f. Let o be z(6). Suppose 32 = s + o. What is the least common multiple of 16 and s?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-580)\/2262)\/((-78)\/338)?\nAnswer: 10\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) be the third derivative of -q**6\/120 - q**5\/15 - q**4\/6 - q**3\/3 - 84*q**2. What is t(-5)?\nAnswer: 43","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(84)*-2)\/sqrt(4) - sqrt(21))\/((sqrt(132)\/sqrt(4))\/sqrt(11)))**2.\nAnswer: 63","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r - r - 88 = 3*v, 0 = v + 3*r + 34. Let s = -133871 + 396724\/3. Let c = 1650 + s. What is the common denominator of v and c?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 557 - 575. Let m = -4 + 20. Let d = m + f. Put d, 5, -0.1, 0.3 in descending order.\nAnswer: 5, 0.3, -0.1, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5 - 107 = -28*y for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 36619\/4 - 9074. Let w = -81 + c. Is w greater than or equal to -2\/51?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-6)\/(-8)*-10*(-8)\/5. Suppose -7*j + v*j + 30 = 0. Let p(o) = o**3 + 5*o**2 - 6*o - 1. What is p(j)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 483698?\nAnswer: 2, 73, 3313","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = -61*f + 62*f. Suppose f*a = -2*h + 2, 0 = 10*a - 5*a + 3*h - 9. What is the greatest common divisor of a and 48?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 353 minutes before 4:29 AM?\nAnswer: 10:36 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1625420 to the nearest integer?\nAnswer: 118","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 - (2 - 7) - 6?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 11981 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 265 = 3*h - 206. Calculate the remainder when h is divided by 40.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:27 PM and 6:54 PM?\nAnswer: 327","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 7326 to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 250 + 860. What is the units digit of t?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -243*g - 455 = -208*g for g.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve q + f = -4*q - 23, -9 = 3*f for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -4 in 4, 221, -32, -11?\nAnswer: -11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 14, 13, 1, -1 in increasing order.\nAnswer: -3, -1, 1, 13, 14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3066.662 milligrams to tonnes.\nAnswer: 0.000003066662","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 145295 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = -27*r - 5. Let a be b(3). Let l = -83 - a. Solve 2*y + 12 = 2*q, -2*q + 26 = -y + l*q for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 5\/4 of a gram?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 21887570*i**3 - 30041802*i wrt i.\nAnswer: 131325420*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 128\/(-96)*(30\/50)\/(4\/(-50))\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b + 17 = -8. Calculate the remainder when b is divided by 1.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 9\/2, 2, 0 in descending order.\nAnswer: 9\/2, 2, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -384 divided by -5?\nAnswer: 384\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1023212322 (base 4) to base 5.\nAnswer: 34402230","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1 - 1. Suppose t = -2*u - 2*u + 24. Suppose u*a - 3*a = 4*p - 102, 0 = p - 5*a - 34. Is p a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 13\/1272 and -145\/4424334?\nAnswer: 17697336","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 151139 and 4667?\nAnswer: 359","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n\/n**4*n)\/n)**36*((n\/n**(-15\/4))\/n)\/n**5 assuming n is positive.\nAnswer: n**(-437\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-5)\/3*7\/2*(-24)\/(-182).\nAnswer: -10\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = -48*h. Let r be t(2). Let z = r - -141. Let s = -19 + z. Is 13 a factor of s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 45\/4? (a) -56 (b) 4505\/4 (c) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor 9*i**3 + 10608*i - 615*i**2 - 3104 - 528 + 164.\nAnswer: 3*(i - 34)**2*(3*i - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 479 a factor of 620127689?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1339, 2656, 3949, 5212, 6439?\nAnswer: 7624","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = -c**3 + 10*c**2 + 12*c - 10. Let i be z(11). Let f(w) = -2*w. Determine f(i).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 150959 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) be the second derivative of -g**5\/20 - g**4\/6 + g**3\/2 + g**2 - g. What is the units digit of k(-3)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(-1)*p*p*p**(-3)*(p**(2\/3)\/p)**(16\/3))\/((p**6\/(p*p**(-7)*p))\/(p*p**0)**(11\/2)) assuming p is positive.\nAnswer: p**(-167\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = -351*c**2 - 6 + 699*c**2 - 351*c**2 + c + c**3 + 2*c. What is h(2)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 5.2966613 and 2.\nAnswer: 7.2966613","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(-3)\/j**(-4)*(j**(1\/3))**12)**16 assuming j is positive.\nAnswer: j**80","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2064 is divided by 173.\nAnswer: 161","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-2)\/4)\/((-9)\/144). Suppose 12 = f*z - 4*z. Solve k - 10 = -3*s - k, z*k = 3*s for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 671563 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 307819711 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -33*f + 5 + 30*f - 5*f.\nAnswer: -8*f + 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1279 - -2079. What is the fourth biggest value in 4, 3, -1\/2, y?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-12)\/14)\/(28\/98).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -8 times -130886.4?\nAnswer: 1047091.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 620384 a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1822500*j**3 - 284359196700*j**2 - 1685091584*j - 2496432 = 0. Calculate j.\nAnswer: -2\/675, 156027","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-6)\/(-36) + 2\/(-4))*-11453061. Suppose s + 4 = 0, 2*o - t - 57582317 = s. What is o rounded to the nearest 1000000?\nAnswer: 31000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 253344546 a multiple of 21?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 0*(4\/2)\/(-2). Let l be 1\/30*558\/(-189). Let a = -2\/45 + l. Which is bigger: a or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1105 - -736. Is r\/(-33) + (-4)\/22 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20*t - 509697 = -122*t + 675151. List the prime factors of t.\nAnswer: 2, 7, 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = -3 + 125*y**2 - 131*y**2 + 3. Let n(l) = 2*l**2 - 31. Give q(n(u)).\nAnswer: -24*u**4 + 744*u**2 - 5766","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:46 PM and 6:47 PM?\nAnswer: 181","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 28007991 to the nearest integer?\nAnswer: 5292","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 - (-15 - (-1 - 11)).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h + 0*h - p = 12, 3*p - 9 = -3*h. Solve -4 = h*o - 1 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1703 and 73463.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 12*m**2*y + 2*m**2 + 532*m + 46*y with respect to y.\nAnswer: 12*m**2 + 46","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -145 + 708. Is h prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14 = -k - i, k - i - 6 = -0*i. Is 5 a factor of k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 10 - (-8 - -1 - -21)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -146, -312, -486, -674, -882, -1116, -1382?\nAnswer: -1686","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 152467 and 1722?\nAnswer: 37506882","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -80*d - 542*d**3 + 80*d.\nAnswer: -542*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g = -4*m + 9, 0 = -5*g + 3*m - 2 + 25. Suppose -g = -r - 6. Find the first derivative of -v**3 - 3 + 5*v**3 + v**3 - r wrt v.\nAnswer: 15*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 19514256379 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3111277 - -553.7.\nAnswer: -3110723.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + ((-1*sqrt(25))\/sqrt(5) - (-1 + sqrt(45))).\nAnswer: -4*sqrt(5) - 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -46, 114, 484, 1064, 1854, 2854, 4064?\n\"Answer: 105*h**2 - 155*h + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2193 is divided by 1954.\nAnswer: 239","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 1110445402?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round -77098000 to the nearest one million.\nAnswer: -77000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -38 + 43. Let p(f) = 4*f + 2. Let s(g) = 2*g + 1. Let j(n) = 3*p(n) - 5*s(n). Let m(b) = -b - 1. Give o*m(q) + 3*j(q).\nAnswer: q - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-2)\/(-2*(-3)\/27). Let r be -2*1\/(2\/y). Let n be 2\/r + 1886\/18. Calculate the highest common factor of n and 15.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 + -9 - (7 - (-14 - -9))?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = 3*k**2 - 212*k - 2432. Calculate j(-13).\nAnswer: 831","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 21\/5 of a milligram in micrograms?\nAnswer: 4200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -3 + 0. Is 128 - (f\/3 + 2) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8955*f**2 - f + 0*f + 559916*f**2 + 0*f.\nAnswer: 550961*f**2 - f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 70 divided by 14?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*u + 2*g = 26, -5*g = -4*u + 19 - 42 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hfkkkkfkkkkgaah. What is prob of sequence ah?\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.2 in 0.2, 8, -1\/3, 3\/4?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 29338 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 60 = -a + 5*a - 5*w, -38 = -3*a + 2*w. Let v(m) = 3*m + 6*m + 5 - m**3 - a*m**2 - 1 + 5*m. What is the tens digit of v(-12)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = -t**3 + 9*t**2 + 19*t + 26. Let b be k(11). What are the prime factors of -2*(11655\/6)\/b?\nAnswer: 3, 5, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 57\/5 of a meter in millimeters?\nAnswer: 11400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g*(g\/(g\/(((g*((((g*g\/g**6)\/g)\/g*g*g)\/g)\/g)\/g)\/g*g)*g))\/g)\/(g**(3\/4)\/g*g))\/(g\/g**(-5\/6)*g\/g**(2\/3)*g*g) assuming g is positive.\nAnswer: g**(-143\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 42\/14*(-6)\/(-1). Calculate the highest common divisor of 36 and n.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 90 + -93. Let i = 2 + -2. Which is the smallest value? (a) -2\/13 (b) i (c) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = -13*j**3 + 17*j**2 - 8*j + 105. What is the tens digit of r(-14)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*g + 27 + 15. Suppose 3*a = -0*a - g. Let s(r) = r + 10. Let q be s(a). Solve -3*h = 2*h - 5*z - 5, 0 = 4*h - q*z for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 275.964 + -276. Is z >= 2\/7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -9 + 9. Suppose 13 = j - m*j. Calculate the remainder when 50 is divided by j.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -895*z**4 - 5*z**5 - 905*z**2 - 19137*z + 19137*z + 1805*z**3.\nAnswer: -5*z**2*(z - 1)**2*(z + 181)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -3114739\/60 + 51914. What is the common denominator of z and -61\/636?\nAnswer: 3180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {u: 9, m: 7}. Give prob of picking 4 u.\nAnswer: 9\/130","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert d235 (base 15) to base 6.\nAnswer: 541235","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 160051 + -113794. What is the units digit of c?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 230301 - 313?\nAnswer: 223322","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = -h - 12. What is the smallest common multiple of (-60)\/(-3) + (-1 - 0) and s(-13)?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -6 + 15 - (-1 + 3). Solve 6*d - 5 - 3*d**2 - z + 2*d**2 + 3 = 0 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7236001 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 313 + -270. What is the highest common factor of 1 and q?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -15 (b) -3\/7 (c) 0.1 (d) -0.2 (e) -47\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -4, 8, -1 in increasing order.\nAnswer: -4, -1, 3, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 1\/(-14 + 2115\/150). Solve 12*t - a = r*t + 1, -2*t - 3 = 3*a for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -595*n - 9*n + 1605 = -564 + 9417 for n.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 41 + -38. Suppose l*u + 54 = 5*m + 164, -m = -u + 36. Calculate the greatest common divisor of 5 and u.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-2 + 8)*(-64)\/120*9\/(-36). Which is the closest to -0.1? (a) -35\/23 (b) q (c) 1\/3 (d) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = z. Let m(j) = -187*j - 29*j - 7*j**2 + 114*j. Determine m(a(k)).\nAnswer: -7*k**2 - 102*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -24 divided by 6.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -5158 + 5131. Let p(t) = -t**2 - 22*t + 146. What is p(v)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -39 = 4*q - 147. Is q a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -x + 20*g - 557 = 0, 11*x + 0*g - 9 + 71 = -0*g + 5*g - 45 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 2 and 391?\nAnswer: 782","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = 99*f - 34. Let j(b) = 197*b - 68. Let a(p) = 2*j(p) - 5*l(p). Is a(-3) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -17.3 (b) -11.28 (c) 2\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 46*r + 155 - 270 = 299 for r.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (37 - 1) + 1019 + -1054 - (-16 + 1).\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 2173 less than 1830?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*(sqrt(425) + sqrt(425)*1 + sqrt(17)))**2.\nAnswer: 51425","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n = -n + 66. Let u = -16 + n. Calculate the highest common factor of 136 and u.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence eae when three letters picked without replacement from egeereaaeerreeee?\nAnswer: 3\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 67\/(3216\/(-312))*38\/(-13)?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 105316 - 105312. Factor a + 1\/2*d**3 - 2*d - d**2.\nAnswer: (d - 2)**2*(d + 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -4 + 2. Let c = 43557 + -43599. Is j equal to c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (28\/(-6))\/(1\/3). Let r = 29 + z. Calculate the remainder when (-2)\/4*(4 - 122) is divided by r.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.3 - 0.1. Let p be 6 + -1 - 192\/34. Let f = p + -29\/34. Put w, f, 5 in increasing order.\nAnswer: f, w, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (66\/77)\/((-64)\/(-28)).\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -3166862.72 times 0.5\nAnswer: -1583431.36","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1433330 (base 5) to base 11.\nAnswer: -20986","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = -2*g**2. Let d = 717\/2 + -351. Let w(t) be the first derivative of d*t**2 + 0*t - 5. What is w(f(o))?\nAnswer: -30*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from lxglxrx. What is prob of sequence gxgl?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((3528\/99)\/49)\/(1*4).\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + sqrt(320) + sqrt(15)\/sqrt(3) + 5 + sqrt(30)\/(sqrt(36)\/sqrt(24) - sqrt(6)))*1.\nAnswer: 6 + 7*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 2079 and 85778?\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1962.5 - 1962. What is the smallest value in -1.44, -0.2, j?\nAnswer: -1.44","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) be the second derivative of -8*d**3\/3 + 7*d**2 + 5026*d. Determine z(3).\nAnswer: -34","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o**(-5)\/o**5)\/((o**(2\/5)*o)\/o*o)**(-2\/41))**(-2) assuming o is positive.\nAnswer: o**(4072\/205)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 2407 to the power of 1\/5, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 13 (b) -0.08 (c) 28 (d) -262\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -675 + 663 = -4*v. Solve -3*i = v*r - 24, -5*i + 0*r = -5*r + 10 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.497218383 rounded to four decimal places?\nAnswer: -0.4972","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = -f - 7. Let n be t(-11). Suppose -s - 169 = n*k, -2*k + 2*s = -k + 40. Let x = k + 61. Is x prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.022105 - -0.45\nAnswer: 0.472105","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 1.96 and 562?\nAnswer: 560.04","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-14)\/2 + (-6)\/(-3). Let y = -0.33 + -0.17. Which is the closest to y? (a) -0.4 (b) w (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3801872033 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -318*p + 21 - 2 = -25*y - 315*p, 4*y + 6 = -p for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.4*2272.\nAnswer: -908.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1159 and 4819?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = d. Let q(y) = 44*y + 2. Let v(z) = 89*z + 4. Let x(f) = -5*q(f) + 2*v(f). Give p(x(n)).\nAnswer: -42*n - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = -27*f - 28. Let k be x(-7). Is k at least 161?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 18*-10.1.\nAnswer: -181.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -5, -10810, 555, 5\/3?\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -822 divided by -822.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1914821 to the nearest integer?\nAnswer: 124","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 733387, 1466669, 2199951, 2933233, 3666515, 4399797?\nAnswer: 5133079","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 36 (base 10) to base 8.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2118 is divided by 235?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000644816 to 5 decimal places.\nAnswer: -0.00064","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-1)\/(-5)*(-2)\/(-4). Let u = -3.74 - -4. Let o = u + -0.36. What is the smallest value in -3, o, x?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5685527 is divided by 631724?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 13858.9 times -4\nAnswer: -55435.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -135*a - 124*a - 146*a + 10695 = 60*a for a.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 5\/17232 or -3330?\nAnswer: -3330","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in fifty-five quarters of a litre?\nAnswer: 13750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = l**3 - 15*l**2 + 19*l. Calculate v(13).\nAnswer: -91","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:51 AM and 1:15 PM?\nAnswer: 504","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*j + 137*h - 138*h - 1, -4*j + 4*h = 12 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -1\/6 (b) 2\/5 (c) 1\/10 (d) 1 (e) -0.5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -95.94 - -100.6. Let j = 4.06 - a. Put 1\/5, j, 0 in ascending order.\nAnswer: j, 0, 1\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 530835518.\nAnswer: 2, 263, 1009193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 7 + -5. Let v be 4*2 - (-14)\/(154\/(-33)). Suppose -3*n - 2 = -2*q, q - 8 - 19 = -v*n. Solve r*u - q = k, -3*u - 1 - 6 = 2*k for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -92772149 divided by 92772149\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*w - 5*f, -2*w - w = -4*f for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 1149373 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f = -0 - 576. Suppose 0 = -3*n + 4*v - 20, -2*v = -5*n - 48 - 4. Let t be (2 - (-15)\/n)*f. Calculate the greatest common divisor of 12 and t.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(1*(2*sqrt(11) - sqrt(11)))**2.\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - 1 - 3)*(-m - 2 + 2) - 10*m + 17*m - 4 - 8*m + 5*m + 4*m - 2*m.\nAnswer: 12*m - 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -172 + 174. Suppose -3*b + 30 = 2*b + z, -5*b - 3*z + 30 = 0. What is the lowest common multiple of l and b + -2*(-3)\/3?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = -2*v**2 + 6. Let t be o(5). Let x be 131\/(-3) + (-2)\/3. Let w = x - t. Which is the closest to w? (a) -4 (b) 3 (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = 12*i**2 - 320*i - 102. What is s(23)?\nAnswer: -1114","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1771, -3646, -5651, -7852, -10315, -13106, -16291, -19936?\nAnswer: -24107","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = -a**3 - 14*a**2 - 29*a - 154. Let v be u(-14). Let h(z) = -8*z**3 + 2*z**2 - z - 2. Let k be h(-2). What is the greatest common factor of k and v?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = -18090*o. Let y(l) = -79*l. Let r(s) = 6*w(s) - 1377*y(s). Let a be r(1). Suppose 2*c = 8, -5*h - 3*c = -a + 41. List the prime factors of h.\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -195717, -195718, -195719, -195720?\nAnswer: -195721","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(28)\/(sqrt(4)*3 + sqrt(4)) - (sqrt(63)*-6)**2)*-5 - (2*sqrt(3584))\/(sqrt(128)*-1).\nAnswer: 11*sqrt(7)\/4 + 11340","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3 - 3 - b + 36*b.\nAnswer: 35*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b - 3*i - 4 = -8*i, -4*i = 0. Let u = 29 - 59\/2. What is the second smallest value in -0.3, u, 0, b?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a + 48*w - 540 = 43*w, 2*w = -5*a + 531. Calculate the remainder when a is divided by 9.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 14.2*-0.2.\nAnswer: -2.84","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh biggest value in 49, 0.3, 46, 7\/6, 1, 4, -3\/10?\nAnswer: -3\/10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (2\/4)\/(5\/20). Let o(s) = 20*s**3 + 2*s**2 - s. Let y be o(1). Suppose -5*t + v*t = 3*h - y, 0 = -5*h + 25. What is the units digit of t?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(2\/21)\/((m\/m**(5\/4))\/m))**8 assuming m is positive.\nAnswer: m**(226\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 4.23 - 0.23. Which is the smallest value? (a) m (b) 0.2 (c) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 190900.\nAnswer: 2, 5, 23, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 391901.7um in nanometers?\nAnswer: 391901700","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = 2*d + 0*d**2 - 18 + 4*d**2 - 4. Let l(s) = -14*s - 7. Let j be l(0). Let p be i(j). What is p rounded to the nearest 100?\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 7 - 2. Suppose -5*t + k*w + 1 - 41 = 0, w - 3 = 0. Let i be 2 - (2 - 0) - -2. Sort t, -2, i in ascending order.\nAnswer: t, -2, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 157 and 92173287.\nAnswer: 157","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 1939 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 3740634?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o + 3*o + 5*n = -6, -5*o = 5*n + 30. Let l = -18 - -18.11. What is the third smallest value in l, -2\/5, o?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/4 of a litre in millilitres?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -32\/28475 and 52\/1139.\nAnswer: 28475","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = -4*p + 14. Suppose -3*s - p = -4*s. What is the units digit of s?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*n + 3*x + 1196 = 4*n, -4*n + 1180 = x. Suppose -13*p = n + 614. What is p rounded to the nearest ten?\nAnswer: -70","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a = 46 + 2. Suppose a*x = 10*x + 4. Solve -2 + 0 = x*b for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = p**2 + 4*p - 6. Let r be j(-6). Suppose -51 = -r*f + 3*f. What are the prime factors of f?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -42, -168, -378, -672, -1050, -1512?\n\"Answer: -42*o**2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + (-2*3*-2*sqrt(126))\/(sqrt(32) + sqrt(14)\/sqrt(28)))**2.\nAnswer: 16*sqrt(7) + 449","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = 166*n + 1323. What is g(-8)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 209, 196, 169, 122, 49?\nAnswer: -56","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -8, -16, -36, -74, -136, -228, -356?\nAnswer: -526","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-6)\/(-4))\/(21\/112). Solve 2*d - 2 = -t for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -690 = -4*m - 210. Suppose 5*i - 575 = 5*a, -5*i = -0*a - 2*a - 590. Suppose 0 = -w - 4*n + m, -i = -4*w - 3*n + 334. List the prime factors of w.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-64)\/31 - 28\/(-434). Let f be -2*(18\/(-4) + 2). Suppose -f*p + 36 = -4*x, -2*x - 16 = x - p. Put k, x, -5 in descending order.\nAnswer: k, x, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (9 + 1 + -17 - (0 + -1)) + -9?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -q**4 - 6*q**3 + 15*q**2 - 8*q.\nAnswer: -q*(q - 1)**2*(q + 8)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-12)\/((-96)\/(-20))*(-16)\/(-50).\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is (12\/(-24))\/((-1)\/2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) be the third derivative of 61*s**6\/12 + 29*s**5\/60 - 5*s**3\/6 + 4*s**2 - 12. Find the third derivative of w(c) wrt c.\nAnswer: 3660","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 32*l**2 + 14*l**2 + 11*l**2 + 16*l**2 + 21*l**2 - 94*l**2 + 8*l**2.\nAnswer: 8*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: (-73 - (47 - 113)) + (-14 - -2)\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.2? (a) 2\/7 (b) -3490177 (c) 11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find o, given that -2*o**2\/3 - 40*o\/3 + 64 = 0.\nAnswer: -24, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 70 divided by 2024.\nAnswer: 35\/1012","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = -r**2 - 11*r - 7. What is x(-12)?\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b = -4*b + 3*q + 40, 0 = 3*b + q - 90. Let s = -16 + b. What is the tens digit of s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1539.0242 - -0.7758. What is g rounded to the nearest one hundred?\nAnswer: 1500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 1, s: 1, v: 5, m: 11, b: 1, x: 1}. Give prob of sequence vb.\nAnswer: 1\/76","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -169 divided by 5\nAnswer: -169\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d**(-14\/5)\/(d**(3\/25)\/d))\/(d\/d**(4\/3)*d\/d**(-4)))**(-19\/5) assuming d is positive.\nAnswer: d**(9386\/375)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 166.1943 micrometers in millimeters?\nAnswer: 0.1661943","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 25\/2484 and -89\/16146?\nAnswer: 32292","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = -c. Let y = 22 + -10. Let l be y\/2*7\/14. Let r(v) = -l*v**2 - 10*v + 10*v. Determine z(r(m)).\nAnswer: 3*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 602547 is divided by 45?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 781*p + 1772340 = 1681744 for p.\nAnswer: -116","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*y + 20*y - 80 = 0 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-707*n + 549*n - 1 + 333*n)*(2 + 0 - 3)*(2*n**3 - 4*n**3 - n**3) to b*n**2 + c*n + u*n**4 + p + a*n**3 and give u.\nAnswer: 525","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.2574 and -0.046545.\nAnswer: 0.011980683","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 82718275 to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*m**5 + 123*m**4 - 2037*m**3 + 3693*m**2 - 1782*m = 0.\nAnswer: -54, 0, 1, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 2.3 (b) -0.4 (c) 43 (d) 0.69 (e) 104\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = -23*r**2 - 2*r - 74. Let a(y) = 8*y**2 + y + 23. Give -13*a(p) - 4*g(p).\nAnswer: -12*p**2 - 5*p - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 3968, 8178, 12392, 16610, 20832, 25058?\nAnswer: 29288","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = -v**3 + 10*v**2 - 72*v + 786. Let l = 4 - 1. Calculate the smallest common multiple of l and f(10).\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -14866 (base 12) in base 4?\nAnswer: -13003032","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -5\/2, 0.1, 2.04, 0?\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -224.501 + 223.4. Round r to two decimal places.\nAnswer: -1.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -144 divided by -48.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 23629?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -20 + -4.25.\nAnswer: -24.25","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 34 and 10914?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1637369, 1637367, 1637367, 1637369, 1637373, 1637379, 1637387?\nAnswer: 1637397","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = -2*q - q. Let u(i) = -12 + 2*i + 13 - i + 6*i. What is u(q)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 e when two letters picked without replacement from {e: 7}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -76 - 65 = -37*n + r, -2*r = 3*n - 26 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k - 1300 = -3*n, 39*n + 3918 = 3*k + 42*n. Does 26 divide k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3929 + 4198 = -189*m for m.\nAnswer: -43","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 3 + -6. Let g = 91 + -88. Let w be ((-8)\/(-12))\/(g\/9). Which is the nearest to 0.1? (a) 0.5 (b) w (c) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x**2 - 1665080*x = 0. Calculate x.\nAnswer: -1665080, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = 4*i**2 + 31*i + 125. Let d be g(25). Solve -6*k - 3388 = -d for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.3, -1, 2618, 3 in increasing order.\nAnswer: -1, 0.3, 3, 2618","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -635, -4926, -12869, -24464, -39711, -58610, -81161?\nAnswer: -107364","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7742.\nAnswer: 2, 7, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -407 + 429. Suppose -6*k + 1652 + 262 = 0. Calculate the greatest common factor of k and t.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*h = 6*h - 396. Calculate the greatest common factor of 44 and h.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) -112\/23 (b) -6\/7 (c) -4 (d) 14 (e) -0.1\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 692526.1us?\nAnswer: 0.6925261","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/25 of a litre in millilitres?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express -6*h**2 - h + 10*h**3 - 2 - 7*h**3 - 5*h**3 as o + f*h**2 + l*h**3 + y*h and give f.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g + 21 = 3. Let r be (-4)\/g*(-13 + 1). Let o(w) = -w**2 - 1. Let c(p) be the first derivative of -2*p**3 - 8*p - 8. Calculate r*o(v) - c(v).\nAnswer: -2*v**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 0 + (-729)\/(-63) - 11\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1965336 and 816?\nAnswer: 3930672","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 662794?\nAnswer: 2, 11, 47, 641","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -211 + 211. Suppose s = -11*u + 157 + 272. What is the tens digit of u?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 0 + 6815029?\nAnswer: 6815029","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 8875 + -15?\nAnswer: 8860","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 463*a**2 - 700*a**2 - 2*a**3 - 741*a**2 - 614*a**2.\nAnswer: -2*a**3 - 1592*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Product of -201 and 55.\nAnswer: -11055","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 101\/206061960 and -85\/13737464?\nAnswer: 206061960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -188.4 (b) -3 (c) 1\/2 (d) 13\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Divide -94 by 8.\nAnswer: -47\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put -7, 0, 2135, 5 in increasing order.\nAnswer: -7, 0, 5, 2135","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.023366 times -48?\nAnswer: -1.121568","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 31 + -6. Suppose 2*m = 135 + 65. What is the highest common divisor of s and m?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -426993*x + 532 = -427069*x for x.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 924 and 5852?\nAnswer: 17556","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -4\/57 - -85\/399. Let l = -43.5 - -186.5. Let m = l - 143.3. Which is the fourth smallest value? (a) z (b) m (c) 1\/2 (d) -28\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1001100000 + 11000100011?\nAnswer: 100010000011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 4\/10 - 188\/20. Let i = 16 + a. Suppose 3*y - 125 = -2*y. What is the remainder when y is divided by i?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fa when two letters picked without replacement from ftaatfaatftaataf.\nAnswer: 7\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 2\/17 - (-5616)\/(-918) - -10. Sort l, 5, 2, -4, -3 in descending order.\nAnswer: 5, l, 2, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 13 + (1 - -9) + 10 - 5?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a**5 - 18*a**4 + 12*a**3 + 54*a**2 - 15*a - 36 = 0. What is a?\nAnswer: -1, 1, 3, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 181 times 0.02?\nAnswer: 3.62","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express -38145 + 38145 + 111*m - 20324*m**2 - 111*m in the form b + u*m + h*m**2 and give h.\nAnswer: -20324","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o*o**38*((o\/(o*o**(-8)*o))\/o*o)\/o)\/(o**(7\/4))**(-1\/36))**31 assuming o is positive.\nAnswer: o**(201097\/144)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5043690136.\nAnswer: 2, 197, 3200311","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:24 AM and 2:12 AM?\nAnswer: 108","meta":{"dup_signals":{},"source":"measurement__time_test"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = -59*t + 7. Let z(u) = -15*u + 1. Calculate -2*n(r) + 9*z(r).\nAnswer: -17*r - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4751 is divided by 6?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 22677404516 + -2?\nAnswer: 22677404514","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 79*d - 187158 - 113595 = 0. Does 47 divide d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2910, -2908, -2904, -2898?\nAnswer: -2890","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 355 + 357 - 2*c - 1434 + 363 + 359.\nAnswer: -2*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -40138, -79042, -117946?\n\"Answer: -38904*f - 1234","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-15)\/84 + 2\/(-8). Which is the closest to -0.1? (a) 4\/7 (b) -2\/3 (c) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*h + 10 - 14, -k + 747 = -5*h. Calculate the remainder when k is divided by 38.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 147989201 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*m**2 + 60*m.\nAnswer: 3*m*(m + 20)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 401 to the power of 1\/3, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 30*(4\/6)\/((-10)\/(-50)). Calculate the greatest common factor of 75 and y.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-41 + 20 - -27) + (-7 - 0) + 4.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 449873 is divided by 59.\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*t - 6 = -4*t + 43 for t.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 53*l**2 - 92*l**2 + 32*l**2.\nAnswer: -7*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (m - 5*m + 2*m)*(1 - m - 1) + (6 + 3 + 2)*(548 - 548 - 56*m**2).\nAnswer: -614*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = 525915*u**3 - 30*u**2 + 8*u - 1. Let m be k(-3). What is m rounded to the nearest 1000000?\nAnswer: -14000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many days are there in 2\/7 of a week?\nAnswer: 2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 345 minutes after 11:02 AM?\nAnswer: 4:47 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put 50, -70, -2, 4, -54 in descending order.\nAnswer: 50, 4, -2, -54, -70","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hhyhyybhhyhhhbhh. Give prob of sequence bh.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = -9*o + 179. Let m be 5\/40 + (-159)\/(-8). Let d = 20 - m. List the prime factors of u(d).\nAnswer: 179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 3281331.24000368 + -3281274.24. Let a = 57 - y. Round a to seven decimal places.\nAnswer: -0.0000037","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = j + 6. Let o be n(0). Suppose 2*w + 8 = o*w. Find the third derivative of -3*u**2 + 2*u**w + 4*u**2 - u**5 wrt u.\nAnswer: -60*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -64*p - 2 = -62*p for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1269 - -2550. List the prime factors of x.\nAnswer: 3, 7, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -24231155 + 3?\nAnswer: -24231152","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 167 - 7 = -40*z + 40 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4347*l - 57 + 8709*l + 13*l**2 - 4363*l)*(2 - 2 + 2*l)*(2 + 4 - 4).\nAnswer: 52*l**3 - 4*l**2 - 228*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -4612599*m**2*r**3 + 85*m**2*r**2 + 3*m**2 - 2*m*r**2 - 163*m wrt r?\nAnswer: -27675594*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 18\/20*(7\/1)\/63?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -155*q - 715 + 55 = -89*q for q.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 9141?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 2546604691 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = v**3 - 9*v**2 - 9*v - 9. Let u be h(10). Let b be (1 + u)*-169*1*1. Let f = b - -2362\/7. Is -1 smaller than f?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.067 times -19824\nAnswer: -1328.208","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 130 and 208.\nAnswer: 1040","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 490 minutes before 3:31 AM?\nAnswer: 7:21 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.6155216 nanometers to meters.\nAnswer: 0.0000000006155216","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {m: 5, g: 3, s: 3}. Give prob of sequence gsgs.\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6125962 is divided by 214.\nAnswer: 212","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 2298323817 to the power of 1\/4, to the nearest integer?\nAnswer: 219","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 67\/6 and -57\/2.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 2, x: 1, h: 1}. Give prob of sequence hb.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 24034654165 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -26 - -31. Sort w, 1\/2, -0.05 in increasing order.\nAnswer: -0.05, 1\/2, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-9)\/((-126)\/8) + 10\/7. Let y(t) be the third derivative of t**4\/6 + t**2. Determine y(a).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 29, 40, 53, 68, 85, 104?\nAnswer: 125","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 31\/2 of a litre?\nAnswer: 15500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {u: 4, z: 16}. What is prob of sequence uuuz?\nAnswer: 16\/4845","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(-8))**(-29)*d**(-3\/5)\/(d*d\/(d*d**(-5\/2))*d) assuming d is positive.\nAnswer: d**(2269\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22 = 5*l + 3*y, -y + 2*y - 9 = -2*l. Find the second derivative of -2 + w - 3*w**3 + l*w**3 + 2 wrt w.\nAnswer: 12*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 2\/(20\/3 - 6). Factor 1\/7*r**4 + 0*r**n + 0 - 1\/7*r**2 + 0*r.\nAnswer: r**2*(r - 1)*(r + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 531 and 274173?\nAnswer: 177","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) be the second derivative of s**8\/3360 - s**7\/2520 - s**4\/12 + 3*s. Let l(v) be the third derivative of m(v). Find the third derivative of l(n) wrt n.\nAnswer: 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24*v + 17*v = -35539. Is v a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i**(-8\/3)\/i)\/i*i*(i**0*i)\/i)**(-1\/9) assuming i is positive.\nAnswer: i**(11\/27)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + g + 0)*(-15 + 15 - 5*g) + g**2 - 1 + 1.\nAnswer: -4*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 2f4 - -10?\nAnswer: 304","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -9, -2, 9, 24?\nAnswer: 43","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -120 + 136. Solve q = -0*d + 4*d for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 20 a factor of 1629?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 88 + -514419469\nAnswer: -514419381","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2\/43 or -4\/7?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 347809 is divided by 1800?\nAnswer: 409","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 divided by 4038372?\nAnswer: -1\/1346124","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = -1036*f + 4103. Determine j(4).\nAnswer: -41","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = u**2 - 20*u + 7. Let p be v(14). Let h be (p\/4 - -2)\/((-1)\/4). Let x = -38 + h. What is the tens digit of x?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6195*u**2 - 6194*u**2 + 18613*u**2 - 6221*u**2.\nAnswer: 3*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 32 and 6919996.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14 = d + 21*f - 19*f, 5*d - 4*f - 14 = 0. Suppose -1157 = -t + 4*o, 3*t - 4*o = -d*o + 3499. Is t a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-f + 2*f + 19 + 13)*(0*f**4 + 3*f**4 - f**4 + (-2*f**4 + f**4 + 0*f**4)*(2 - 2 - 2)).\nAnswer: 4*f**5 + 128*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 428 - 432. Let u(a) = -38 + 3*a + 11 + 21 + 6. Determine u(b).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1261.\nAnswer: 13, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) be the third derivative of 1\/24*z**4 + 0 + 0*z + 1\/2*z**3 - 4*z**2. Give r(-7).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - 3 + 3)*(0*a**2 + 2*a**2 - a**2 + (0 + 0 + 3*a**2)*(0 + 1 - 2)).\nAnswer: 4*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) be the second derivative of -s**7\/30 + s**3\/3 - 7*s**2\/2 + 4*s. Let x(r) be the first derivative of q(r). Differentiate x(f) wrt f.\nAnswer: -28*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -174 (b) -0.4 (c) 0.4 (d) 3\/5 (e) -0.29 (f) 0 (g) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = 23*x**2 + 2*x - 2. Let n(b) = -1492*b**2 + 9*b - 8. Let a(w) = -4*l(w) + n(w). Let z(k) = k**2. Calculate a(z(g)).\nAnswer: -1584*g**4 + g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 1208.642 rounded to the nearest ten?\nAnswer: 1210","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = b**3 - 20*b**2 - 22*b - 45. What is l(21)?\nAnswer: -66","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Divide 309 by -5.\nAnswer: -309\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1.231 + 1.131. Which is bigger: l or -404?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 81448?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 19.98365km in nanometers?\nAnswer: 19983650000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = -t**2 - t - 9. Let i(b) = 3*b**2 + 1. Let k be i(1). Let p(m) = -m**2 + 3*m - k*m - 6 - 2. Let l = 34292 - 34299. Give l*p(y) + 6*v(y).\nAnswer: y**2 + y + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 70 a factor of 7649748?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 8\/(1 - (-12)\/(-8)). Let o = b - -25. What is the smallest common multiple of 7 and o?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 1.6825370918 and -1?\nAnswer: 2.6825370918","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 43\/1421538 and 11\/12.\nAnswer: 2843076","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z\/z**2*z**(-1\/9))\/((z**(4\/3)\/z)\/z**(-9)) assuming z is positive.\nAnswer: z**(-94\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is a (base 14) in base 11?\nAnswer: a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1990 + 1925. Sort k, 3, 2 in increasing order.\nAnswer: k, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-2)\/(-10))\/(120\/80). What is the fourth biggest value in -0.12, 2, 2\/11, g?\nAnswer: -0.12","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-1 - -1) + 6\/2. Let q = -35 - -75. Let j = 44 - q. Put j, -5, p in descending order.\nAnswer: j, p, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 73207?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:02 PM and 8:27 PM?\nAnswer: 265","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does 99 divide 28021?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((0 + sqrt(76) - sqrt(76))*4 - (-1 + sqrt(76) + 2)**2) + 5 + -5 + (sqrt(76) - sqrt(76)*4).\nAnswer: -77 - 10*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) be the second derivative of v**5\/20 + v**4\/3 - v**2 + 15*v. Let w(g) = -g**2 - 9*g - 11. Let r be w(-8). Let q be (r - 0)\/(3\/4). Give h(q).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -s - n - 1 - 11 = 0, s + 2*n - 1181 + 1204 = 0 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 724 - 722. Let o(v) = 329*v**2 - 22*v + 43. What is the thousands digit of o(s)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -67446 or -63727?\nAnswer: -67446","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -2, -622\/31.\nAnswer: -622\/31, -2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.801 less than 0.3?\nAnswer: -1.501","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 694557?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/20 of a litre in millilitres?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13 = -4*u - p, 2*u - 2*p - 14 = -0*p. Let b(x) be the second derivative of -x**3 + 5\/6*x**u - 3*x - 2*x**2 + 0. Factor b(d).\nAnswer: 2*(d - 1)*(5*d + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 90.3 and 5.\nAnswer: 451.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (8308\/(-38))\/31 - 7*(1 + -2).\nAnswer: -1\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is (57614 - -3)*(-13 - -14) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (0 - (0 + 397))*-1. Suppose 83 = j - 4*s, t = 3*j + 2*j - 2*s. Does 21 divide j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4515984 a multiple of 823?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 69052229.\nAnswer: 69052229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 4 (b) -5 (c) 0.461 (d) 1.8\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l - 157 = 2*g - g, 2*g = 3*l - 119. Suppose -3*p + 0*p = -l. Is p a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -148640*p + 74307*p + 74333*p + 116*p**2 - 117*p**2.\nAnswer: -p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 9963?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -1, 5, 282, 69, -5 in ascending order.\nAnswer: -5, -1, 0, 5, 69, 282","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*j - 17*j**2 - 2*j + 2*j to a*j + u + f*j**2 and give f.\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express (3 - 3 - 4)*(9*v**4 - 28*v**4 - 13*v**4) + 2*v**4 - 31*v**2 + 31*v**2 as g*v**4 + o + m*v + n*v**3 + k*v**2 and give k.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = n**2 - 3*n. Let a(w) = -4*w**2 + 10*w. Suppose -s + 38 - 31 = 0. Determine s*f(y) + 2*a(y).\nAnswer: -y**2 - y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put -8, -5, 5, 11, -43 in ascending order.\nAnswer: -43, -8, -5, 5, 11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*u**4 + 4090*u**3 - 20295*u**2 - 24390*u.\nAnswer: -5*u*(u - 813)*(u - 6)*(u + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -3, 2835.6, 2\/7 in decreasing order.\nAnswer: 2835.6, 2\/7, 0, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 18\/(-24)*20*(-4)\/(-570)\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4493187791 take away -9?\nAnswer: -4493187782","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 808740 to the power of 1\/2, to the nearest integer?\nAnswer: 899","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 147*l = 480*l - 8944713. Does 176 divide l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 51980 and 1130.\nAnswer: 51980","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 1329 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: Solve 64 = -54*w + 22*w for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c = -12, -c - 1047 - 172 = -5*i. What is the highest common factor of 27 and i?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 553 minutes after 8:30 PM?\nAnswer: 5:43 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = 21*n - 50. Let u be x(7). Let f be 45*(2 - 1) + 2. Suppose -2*o = -f - u. Does 12 divide o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3664126 to the nearest integer?\nAnswer: 1914","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2556.\nAnswer: 2, 3, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 322, 331, 340, 349?\nAnswer: 358","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) be the first derivative of 20*m - 44 - 68\/3*m**3 - 1\/4*m**4 + 0*m**2. Differentiate a(l) with respect to l.\nAnswer: -3*l**2 - 136*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c = c - 9. Let k be 13 - (c - -11 - 4). Let n(i) = 7*i**2 + 2*i + 3. Let s be n(-2). Calculate the greatest common factor of k and s.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 r and 2 v when four letters picked without replacement from eereeeeeeevrev?\nAnswer: 1\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = -3*l + 46. Let f be t(14). Suppose 3*w - 9 = 0, 2*o - f*w = o + 6188. What is o rounded to the nearest 1000?\nAnswer: 6000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -173788*m**5 + m**4 - 388042*m**2 wrt m.\nAnswer: -10427280*m**2 + 24*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -12.1 - 0.9. Let v = 13.42 + n. Let z = -0.4199983 + v. Round z to 6 decimal places.\nAnswer: 0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 90 + -66. What is the remainder when 28 is divided by a?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15*r + 10*r - 20 = 0 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor t**2\/8 + 93*t\/8 - 297\/4.\nAnswer: (t - 6)*(t + 99)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1322?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -285.1 - -272. What is p rounded to 0 dps?\nAnswer: -13","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -22 and 0.188788?\nAnswer: 22.188788","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2\/6)\/(21\/189).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 1283 divided by -185874\nAnswer: -1283\/185874","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:57 PM and 9:30 AM?\nAnswer: 693","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d - 5*p + 8 + 28 = 0, 0 = -d + p + 36. What is the units digit of d\/(-27)*66\/(-4)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) be the second derivative of -163*y - 65\/3*y**3 + 15\/4*y**4 + 50*y**2 + 1\/8*y**5 - 1\/12*y**6 + 0. Suppose u(f) = 0. Calculate f.\nAnswer: -5, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 7*v**3 - 6*v**3 + 7*v**2 + 4*v**5 - v**3 wrt v.\nAnswer: 240*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1182 - 1186. What is the nearest to -2\/5 in 0.5, 5\/12, o, 1?\nAnswer: 5\/12","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = -11*r - 75 - 3*r**2 + 71 + 32*r. Calculate the least common multiple of 2 and z(6).\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = -2*q. Let y(m) be the third derivative of -377*m**4\/24 + m**3\/2 - 1654*m**2. What is v(y(i))?\nAnswer: 754*i - 6","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-10)\/6*(-57)\/19. Suppose 5*m = -4*w - 19, -u*m = -3*w + 4*w + 16. Let h(r) = r - 3. Give h(m).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-1)\/(-1))\/((1988\/280)\/(-71)).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000006545 rounded to 7 dps?\nAnswer: 0.0000007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 3510523230?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put together 69075 and 23.9.\nAnswer: 69098.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -979, -1211, -1591, -2113, -2771, -3559?\nAnswer: -4471","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + ((0 + -3*(sqrt(320) + -1))*3)**2 + 3 + -2.\nAnswer: -1296*sqrt(5) + 26004","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*a - 3*a = -5 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 10083171893 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 7041, 14089, 21137, 28185, 35233?\n\"Answer: 7048*x - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vvl when three letters picked without replacement from {z: 3, l: 2, v: 3}?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 195179247 a multiple of 1969?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -71 in 9, 0, 8\/7, -1\/3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) be the first derivative of o**3 - 2*o**2 - o + 1. Suppose -g + 2*k = -2*k - 21, 4*g - 4*k = 36. Let f(x) = 7*x**2 - 9*x - 2. Give g*n(i) - 2*f(i).\nAnswer: i**2 - 2*i - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qtq when three letters picked without replacement from qttq?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -249.12 rounded to the nearest 10?\nAnswer: -250","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -2.99939 + 3. Round q to 4 decimal places.\nAnswer: 0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*d**4 - 64957358*d**3 - 96133646*d?\nAnswer: -24*d**2 - 389744148*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -34 + 37. Suppose 0 = -g + r + 23. List the prime factors of g.\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q**(-10)*q)\/q**13*(q**(-4\/7)\/q)\/q**(-6))**38 assuming q is positive.\nAnswer: q**(-4674\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express 34*h**2 + 13*h**2 - 87*h**2 + 7*h**3 + 10*h + 36*h**2 + 4 as l*h**2 + d*h + j + u*h**3 and give d.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -17 + 5 + (-34 - -22).\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide ((-2)\/1)\/2 + 105 + 0?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-564)\/16*(-28)\/(-42))\/(12\/(-66)*11)\nAnswer: 47\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = -6*x + 174. Let r be s(-29). Let i = r + -325. What is the remainder when 274 is divided by i?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 11 - 7. Suppose 5*t + 6 + 7 = 4*u, t + u = 1. Let s(f) = -31*f**3 - 2*f - 1. Let x be s(t). What is the highest common divisor of x and q?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4330?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -0.07 (b) -4 (c) -29 (d) -3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -1412*x**3 + 696 wrt x.\nAnswer: -4236*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w - 4*b = -6, 3*b - 9 = -5*w + 28. Suppose 3*a = -9, 2*l = w*a - 2*a + 975. What is the tens digit of l?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = w**2 + 7*w + 4. Let q be g(-7). Let k be ((-168394)\/(-4))\/((-2)\/q). Let s be (-24)\/(-16) + k\/(-2). Round s to the nearest one thousand.\nAnswer: 42000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (1 - -9) + (-9 - -2). Solve -x*o - 10 = -o for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 6622 and 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nc when two letters picked without replacement from citutocunccuc?\nAnswer: 5\/156","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -1084 and 1091.69773?\nAnswer: 2175.69773","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Product of -15 and 34.\nAnswer: -510","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert 96.19536 millennia to years.\nAnswer: 96195.36","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 1022272, 1022993, 1023714, 1024435?\n\"Answer: 721*r + 1021551","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -2\/5, 4\/453, 22?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-152986)\/25200 + 5 + 6\/(-4). Let l = k - 1\/1800. Which is bigger: l or -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -69598*o**2 + 34794*o**2 + 34798*o**2.\nAnswer: -6*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 divided by 74521?\nAnswer: 2\/74521","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 92 + 6 + (-1 - 3). Let w = 259 + 13. Suppose 3*q + c - o = 2*q, -3*q + w = -2*c. List the prime factors of q.\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (320\/84 - 4)*-3?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -43 (base 8) to base 11.\nAnswer: -32","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 3 + -9 + 9 - (10 - -1)\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 0 - 6 + (3 + 0 - 4)*(-2 + 4 + 0) - 3 + 1 + 3)*(-4 + 4 - 29)*(-7 + 17 + 6)*(3 - 2*p**4 - 3).\nAnswer: -4640*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert 100100101011 (base 2) to base 5.\nAnswer: 33342","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence dud when three letters picked without replacement from pjjddujjwbudj.\nAnswer: 1\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -773478\/653 or -1185?\nAnswer: -773478\/653","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 2444, 297, -1850, -3997?\n\"Answer: -2147*g + 4591","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*b + 1822 + 3963. Is b a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 i and 1 w when three letters picked without replacement from bkbwkibwibi.\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = p + 5. Let v be -7 + (6\/3 - 0). Let k be y(v). Suppose 5*b + k*r - 6 = 4*r, 0 = 2*r - 2. Solve -4 = b*z - 0*z, -4*a - 5*z - 10 = 0 for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*s - 70 = -0*o - 10*o - 80, 0 = -5*o - 16*s + 19*s - 30 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express (82*r - 245*r + 107*r)*(-36*r - 3*r - 36*r) as i*r + o*r**2 + p and give o.\nAnswer: 4200","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*p + 135*p**2 + 7*p.\nAnswer: 135*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 2 - -8. Let t be j + -2 - (1 - -1). Let h(a) = 5*a**3 + 6*a**2 + 8*a + 1. Let w(x) = x**3 + x**2 + x. Determine t*w(z) - h(z).\nAnswer: z**3 - 2*z - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*t**5 - 3*t**5 + 5*t**5 + (3*t**3 - 2*t**3 + 5*t**3)*(0*t**2 + 3*t**2 - 4*t**2) - 1 - t**5 + 1.\nAnswer: -8*t**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 787 + -762. Suppose -3*c + 2*l - 3*l = -54, 94 = 5*c + 3*l. What is the remainder when m is divided by (-2 + 3 + 0)*c?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) be the third derivative of -89*x**5\/20 + x**4\/12 + 79*x**3\/3 + 9*x**2 + 7*x. What is the second derivative of v(s) wrt s?\nAnswer: -534","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8726483 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: (-130 - -113) + (3 - 1)\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 55c (base 14) in base 12?\nAnswer: 746","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/((-126)\/48)*138\/(-1840)?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -1\/3*s**3 + s**2 - s + 1\/3.\nAnswer: -(s - 1)**3\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-300)\/(-6))\/5)\/(-6).\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = -d**3 + d. Let o(g) = g**2 + 25*g + 99. Let l be o(-5). Let p(h) = 4*h**3 - 3*h - 1. Give l*p(i) - 3*x(i).\nAnswer: -i**3 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.09 + -11.09. Let k = b - -8. Let p = 7936 - 7931. What is the closest to 2\/3 in 0.3, k, p?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.12? (a) 268900 (b) 0 (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*l + 12 = 13*l. Suppose -7*h - l*h = 350. Is (6706\/h)\/(((-6)\/(-5))\/(-3)) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -4345013 by 6.\nAnswer: -4345013\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = 24*j**2 - 5. Suppose -2*b - n = -8, 4*b + b - 5*n = 5. Is c(b) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.9 + -0.6. What is the third biggest value in 0.2, s, -0.4, -22?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 5808707124?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 3, 13, -1\/3?\nAnswer: 13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 4 + 0. Suppose 5*n - 282 = 2*f, -h*f + 5*n = 4*n + 582. What is the common denominator of ((-1)\/16)\/(2\/f) and -47\/12?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = -t - 4. Let d be v(-3). Let z be 4\/(-12)*(d + -182). Let b = -28 + z. Is b a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*w - 3*x + 14, 124*w - 122*w - x = -5 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 5665?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = 113*d**3 + 8*d**2 - 20*d - 69. List the prime factors of p(4).\nAnswer: 7211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_test"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -9922a6ca - -4?\nAnswer: -9922a6c6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 37092498 to the power of 1\/4, to the nearest integer?\nAnswer: 78","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = 5*h**2 + 7*h - 270. What are the prime factors of l(-25)?\nAnswer: 2, 5, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 15512?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l**4\/2 + 654852*l**3 + 7858377*l**2\/2 - 9822927*l + 5238888 = 0. What is l?\nAnswer: -8, 1, 436574","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 35292136?\nAnswer: 2, 11, 17, 31, 761","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = -2*z**2 + 8*z**2 + 252 - z - 250 + 3*z + z. Determine c(-2).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 10001101 (base 2) to base 7\nAnswer: 261","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -23 + 41. Solve t = 4*d + 6 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5*l**2 + 2*l**2 - 2*l - 2 + 1 + 2*l**2 to the form s*l + q*l**2 + i and give s.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -71968 divided by 104?\nAnswer: -692","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q - 3 = q. Let d = 20 + -19. What is the first derivative of d - 4*r - q*r + 4*r wrt r?\nAnswer: -3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4\/240)\/((-24)\/(-180)*3).\nAnswer: 1\/24","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is one quarter of a kilometer in centimeters?\nAnswer: 25000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-32)\/1408)\/(45\/72).\nAnswer: -2\/55","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 26, 124, -0.5 in decreasing order.\nAnswer: 124, 26, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 601693180?\nAnswer: 2, 5, 11, 2734969","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 147098 and 46452.\nAnswer: 882588","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o*o**(-2\/3))\/o**2)\/(o\/((o*o\/(o*o\/o**(2\/5)*o)*o*o)\/o*o)*o*o*o*o\/(o**(-2\/7)*o)*o*o*o) assuming o is positive.\nAnswer: o**(-793\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f - 193 - 563 = 0. What is the greatest common divisor of 18 and f?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -15980 divided by -5?\nAnswer: 3196","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 291 - 807. Let r = 1334 + c. Is r a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*z + 11 = -m, 2*m + 20 = 6*z - 11*z for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 131699 + 3?\nAnswer: 1316a1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.03? (a) -0.7 (b) 3\/2 (c) -2\/21\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many days are there in 43.21332 hours?\nAnswer: 1.800555","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide 19979811 by 4437.\nAnswer: 4503","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*w**3 + 19 - 24 - 1 + 3*w**3.\nAnswer: w**3 - 6","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -5634.2 less than 2442.6?\nAnswer: 8076.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 326 is divided by 138?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (7\/2*(-8)\/(-14))\/1.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out -38 + -2752.\nAnswer: -2790","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -3c4 (base 13) in base 9?\nAnswer: -821","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -14\/1555 + -6178\/4665. Do 0.08 and x have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 4625, 10815, 17005, 23195, 29385, 35575?\nAnswer: 41765","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express 69*w - 35*w - 37*w as u*w + v and give v.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -5386338, -10772669, -16159000, -21545331?\n\"Answer: -5386331*j - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b + 440 = -4*i, i - 2110 = 5*b + 3*i. Let y = -1111 + 1725. Let q = y + b. Is q a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 64 (base 15) to base 4.\nAnswer: 1132","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = -2*d**2. Let a(h) = 192*h**2 - 499 + 499. What is m(a(r))?\nAnswer: -73728*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 207447 is divided by 128?\nAnswer: 87","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -4, 0.03, 149\/54?\nAnswer: 0.03","meta":{"dup_signals":{},"source":"comparison__closest_test"},"subset":"dm_maths"} +{"text":"Question: What is -5 + -151?\nAnswer: -156","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5532.\nAnswer: 2, 3, 461","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1467 = -5*u - 2*c, u - 215 = 4*c + 74. Is u a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -44 = -p - 22. Suppose 36*o = p*o + 109690. Is o prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 751524 by 250508.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -51895, -55792, -59695, -63604, -67519, -71440, -75367?\n\"Answer: -3*a**2 - 3888*a - 48004","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 11806 + -44206. What is s rounded to the nearest ten thousand?\nAnswer: -30000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/84*28*4\/(-42)?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) be the third derivative of -p**4\/12 - p**2. Let s = 2 + -1. Let q(n) = -1. Let r(i) = -3. Let w(j) = 2*q(j) - r(j). What is s*c(d) + 2*w(d)?\nAnswer: -2*d + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 minus 0.2070973?\nAnswer: -1.2070973","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (4 + 0)*(-2)\/(-4). Suppose a = -u*a + 48. What are the prime factors of a?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 7 + 5*a - 7 + (-2 - 1 + 2)*(0*a - 3*a + 2*a) - a - a + 4*a.\nAnswer: 8*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -4970, -9749, -14528, -19307, -24086?\nAnswer: -28865","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 27, 68, 143, 258, 419, 632?\n\"Answer: h**3 + 11*h**2 + h + 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = b**3 - 29*b**2 - 26*b - 62. Calculate the lowest common multiple of d(30) and 8.\nAnswer: 232","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 5766757 to the nearest integer?\nAnswer: 179","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 1 + 3 - 16\/12. Let t = 41\/15 - -3\/5. Find w, given that -2\/3*w - 20\/3*w**2 + t*w**5 + 16\/3*w**4 + 4\/3 - p*w**3 = 0.\nAnswer: -1, 2\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 17\/5 + 2\/(-5). Let i(a) = -6*a - 12. Let v be i(-7). Suppose v = p - t. What is the units digit of p?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = -6*p. Let o(w) be the second derivative of -7*w**5\/60 - 2*w**3\/3 + w**2 + 74*w. Let i(z) be the second derivative of o(z). What is b(i(t))?\nAnswer: 84*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) be the first derivative of 2*b**5\/5 + 17*b**4\/2 - 74*b**3\/3 + 19*b**2 + 18. Factor y(h).\nAnswer: 2*h*(h - 1)**2*(h + 19)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w - 8*d = -13*d + 24, 5*d - 26 = w. Let o = -51 - -205\/4. Which is greater: w or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*z**3 - 27484*z**2 - 55652960*z - 27558407600 = 0.\nAnswer: -3070, -731","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -799265*c*w**3 + 2*c*w - 5*w**3 + 371805*w**2 + 2*w wrt c?\nAnswer: -799265*w**3 + 2*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -9\/2 in 5, 155, 2\/19, -0.103?\nAnswer: -0.103","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 154 minutes after 10:47 PM?\nAnswer: 1:21 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 1, w: 2, n: 2, i: 1}. Give prob of picking 2 w.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) be the first derivative of -v**6\/24 - 11*v**5\/20 - 35*v**4\/16 - 25*v**3\/12 + 172. Let c(m) = 0. What is m?\nAnswer: -5, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-193)\/(-386))\/((-5)\/((-80)\/(-76))).\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor 16*v**2 - 102 + 7*v**2 - 37*v**2 + 11*v**2 - 57*v.\nAnswer: -3*(v + 2)*(v + 17)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1094557*0.4.\nAnswer: -437822.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 7*c - 3*c - 5*c**2 + c - 3*c to m*c + d*c**2 + h and give d.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in twenty-five quarters of a microsecond?\nAnswer: 6250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 8\/((-16)\/6) + 154. Let k be (-5)\/(5\/(-2)) - a. What is the common denominator of -37\/36 and (k\/54)\/((-4)\/(-12))?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 - -88507803.\nAnswer: 88507798","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -1053, -2320, -4389, -7260?\n\"Answer: -401*u**2 - 64*u - 588","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = 2*h + 53. Let c be i(-7). What is the second derivative of 2 - 412*d + 7 - c*d**5 + 409*d - 43*d**5 wrt d?\nAnswer: -1640*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 75 divide 203449950?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 207779 a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 205, 5, 17, -35.8, 2?\nAnswer: 17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 4 (b) 3296 (c) -1\/3 (d) -3502\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = -773345*c + 3866728. What is v(5)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -410\/9*d - 406\/9*d**2 - 4\/9.\nAnswer: -2*(d + 1)*(203*d + 2)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -369969, -739973, -1109975, -1479975?\n\"Answer: d**2 - 370007*d + 37","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -1268 divided by -22\nAnswer: 634\/11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y = 5*y - 105. List the prime factors of y.\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 14.2 or -0.309?\nAnswer: -0.309","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 28 a factor of 3467324?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g + 165 + 290 = 0. Calculate the smallest common multiple of 39 and g.\nAnswer: 273","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 940\/71? (a) 0.32 (b) 28 (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1465, 1470, 1475?\nAnswer: 1480","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {h: 5, x: 7, k: 1}. What is prob of sequence xkh?\nAnswer: 35\/1716","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000039112953 to 7 dps.\nAnswer: 0.0000391","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -15947806 times -0.04\nAnswer: 637912.24","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-18*f + 88 - 88)*(-8*f + 8*f + 8*f**2) to the form h + x*f**3 + y*f + j*f**2 and give x.\nAnswer: -144","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from xhxxxxxhxxhx. What is prob of picking 1 x and 2 h?\nAnswer: 27\/220","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((g\/(g\/(g\/(g**(-4)*g))*g*g*g))\/((g\/g**(-8))\/g))\/((g**(-3\/2)\/g*g)\/(g\/g**19)))**(-3\/4) assuming g is positive.\nAnswer: g**(141\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.193041 to 2 decimal places.\nAnswer: 0.19","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(196) - -1*sqrt(196))\/(sqrt(700) - (sqrt(700) - -3*sqrt(700))) - 2*(3*-1*sqrt(1008))**2*1.\nAnswer: -18144 - 2*sqrt(7)\/15","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 202876459 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 97027237 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 670415087 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express 18 - 4*g - g**2 - 24 - 25 + 5*g in the form h*g + w + s*g**2 and give h.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 21\/8 of a litre?\nAnswer: 2625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -4098677 divided by 1?\nAnswer: -4098677","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -407889625\/1902 + 214453. What is the common denominator of i and 8\/1585?\nAnswer: 9510","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = 2*z + 1. Let h(n) = -n**2 - 6*n**2 - 10*n**2 + 21*n**2. What is f(h(x))?\nAnswer: 8*x**2 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 9\/44 - -1\/22. What is the smallest value in r, 3, -4, -0.06?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 70 is divided by 8.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 2911605?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 987 divide 41693841?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y - 4*b + 40 = 0, -4*y - 2*b + 207 - 241 = 0. Let j(q) = -7*q + 19. Let x(v) = -3*v + 9. Give y*x(i) + 4*j(i).\nAnswer: -i - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = s**2 + 17*s + 35. Give w(-11).\nAnswer: -31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -540*f = -542*f + 6. Let b(t) = t**3 + 0*t**2 - 2*t**2 + 3*t**2 - t. Let c(x) = -7*x**3 - 8*x**2 + 8*x. What is f*c(z) + 24*b(z)?\nAnswer: 3*z**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 48 - (-65 - 10890\/(-90))\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h - 1850 - 1735 = -3*x, -4*x = 2*h - 4772. Suppose 0 = -4*r + x + 545. What are the prime factors of r?\nAnswer: 2, 7, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 603 is divided by (-3)\/(42\/4) - ((-69502)\/217 - -4)?\nAnswer: 287","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*w = -22*q + 23*q - 8, -8 = -2*q for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 419, -3, -20 in ascending order.\nAnswer: -20, -3, -1, 419","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -72300000 rounded to the nearest one million?\nAnswer: -72000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 446 minutes after 11:27 PM?\nAnswer: 6:53 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m + k = -7 + 34, 2*m - k - 13 = 0. Suppose 0 = -4*b + 2*b + 2. Let a be (4*(b + 0))\/1. Solve 4*f + 5*n - n = m, -5*f + n = -a for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -18e35 - -5?\nAnswer: -18e30","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = -340553*j + 87 + 681068*j - 340542*j. Determine t(3).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 25 + -25. Let i = a + 19. List the prime factors of i.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -4\/9 (b) -12\/5 (c) -5196 (d) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is (-5)\/(15\/(-12)) + 2158 + -1 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -63 - ((-12 - -1) + (-43 + 93 - 23)).\nAnswer: -79","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1148 and 21728278?\nAnswer: 304195892","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 588 minutes before 6:42 AM?\nAnswer: 8:54 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 24467911927 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = -z**3 + 13*z**2 - 12*z + 5. Let y be l(12). Suppose 2*s - 4 = b, -4*s + 13 - y = 5*b. Let n(a) = -a**2 + 8*a + 2*a**s - a - 1 + 0*a. Calculate n(-5).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2298713281 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 15\/10*(-532)\/(-3). Suppose 6*w + 446 = x. Suppose 2*h + 3*h - 78 = 3*m, -81 = 3*m - 4*h. Which is smaller: w or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n = 4*w - 8, 0*n = n. Let p(k) = 16 - k + 2 + 3. Let g be p(17). Solve 2*c = -3*c + 5*s + 10, g = 2*c + w*s for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = 18*i - 68. Let p be j(4). Suppose v - p*l + 14 = 39, 2*v - 3*l - 25 = 0. Suppose -w + 28 = w. Calculate the remainder when w is divided by v.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 292236 and 24?\nAnswer: 584472","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*o - 1386 = -138*o for o.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 9313350 to the power of 1\/6, to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -65 - -1e6?\nAnswer: 181","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -198.5 - -198.4. Let v be (12\/(-8))\/(27\/(-24)). What is the closest to d in -2, v, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = -35*j - 2. Is 9 a factor of c(-1)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*c - 48 = -2*f + c, -48 = -4*f + 2*c. Solve 18*s = f*s for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 6\/19, -4, 15.\nAnswer: -4, 6\/19, 15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = 4*o + 80. Let g be c(-23). Let x be g\/(-2) - 0*7\/(-56). Solve -2*d + x = 4*d for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence btb when three letters picked without replacement from {t: 7, b: 5}?\nAnswer: 7\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 2*(-4)\/(-2) + 1. Let i(x) = 2*x**2 + 5*x + 5. Let p be i(-2). Suppose -p*w + 2*w = -4. Solve 1 + w = -q*r for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -2.4 (b) -4 (c) 47 (d) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -5489\/5 or -1098?\nAnswer: -5489\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1)\/4 - (-8)\/32.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 - (-2 + 41) - (-33175 + 33009)?\nAnswer: 129","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = 115*a + 1702. What are the prime factors of m(-11)?\nAnswer: 19, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 62374 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z*z**(1\/4))\/z**14)\/(z**14*z*z*z\/(((z\/(z*z**(4\/11))*z)\/z)\/z)*z) assuming z is positive.\nAnswer: z**(-1413\/44)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {o: 2, m: 10}. What is prob of picking 2 m and 2 o?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -207.49 - -207.89. Which is the third biggest value? (a) 2\/9 (b) w (c) 2 (d) 1\/27\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -36*x - 159 = -5*z, -131*x - 129*x - 4*z = -258*x - 3 - 1 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = -2*b**2 + 1117*b - 8840. Determine r(8).\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 4.324 + -10.6643. Let m = 15.9 - 22.2. Let z = m - s. Round z to 2 decimal places.\nAnswer: 0.04","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 331 minutes after 9:39 AM?\nAnswer: 3:10 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*y**2 - 24*y**2 - 7202 + 7202 + 16*y**2.\nAnswer: -3*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = 1293*w + 78829. Calculate m(-61).\nAnswer: -44","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 23\/1*(-2 - -3). Let f(n) = 2*n + 8. Let l be f(-11). Let r = l + a. List the prime factors of r.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17*p = -27 + 95 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 4*21\/(-14) + 16. What is h in -33*h**3 - h - 34*h**3 + 61*h**3 + 7*h - 10*h**2 + l = 0?\nAnswer: -5\/3, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -638, -1, 389, -2, 4 in ascending order.\nAnswer: -638, -2, -1, 4, 389","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = x**2 + 3*x - 5. Let p(k) = -k**3 + 18*k**2 - 3*k + 45. Let a be p(18). Let q be d(a). Suppose b - q = 20. What is the units digit of b?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 97968, 97969, 97970, 97971?\nAnswer: 97972","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -5\/56966 and 131\/146077100.\nAnswer: 1022539700","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (5 - 3) + -5 + 0. Suppose 2*x + 5*z + 12 = 0, -2*z = 4*x - 5*z - 28. Put -4, x, f in decreasing order.\nAnswer: x, f, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -1627 - -2f?\nAnswer: -15f8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -7 - -16. Let x(k) = k**2 + 315*k + 1866. What is the smallest common multiple of x(-6) and z?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 s and 1 h when two letters picked without replacement from tshhtthtshhhhhssssss?\nAnswer: 32\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = -5 - p**2 - 8*p - 4*p**2 + 6*p**2. Let f be (-30)\/(-5) + 2 + 1. Let k be j(f). Solve -w - 3*w - 4 = -k*t, t + w = 9 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-5)\/((-30)\/(-4))*5\/10?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 626 divide 737839468?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 759?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let -s**2\/5 + 27407986*s\/5 - 187799424144049\/5 = 0. Calculate s.\nAnswer: 13703993","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 1\/(-1)*1 + 10 + -6. Let m = 0 + 0. Solve m = j*h - h + 4 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 58 - 62. Which is the second biggest value? (a) -0.06 (b) 4 (c) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -63*z + 3278 - 898 = 22*z for z.\nAnswer: 28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -2 (b) 1\/43 (c) 0.3 (d) 1\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 153 is divided by 53.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j + 5*j = 0. Let h be (10\/(-3))\/(-5) - j. Let o = -0.7 + 1.7. What is the closest to o in -4, h, 5?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -16 + -8 + 5 - (-4 + -11 + 14)?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 99200 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -144 = -6*o - 5*p, -o + 3*p - 456036 + 455968 = 0 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 334507595 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = k**2 + 9*k - 4. Calculate b(-6).\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 75\/3908 and -25\/8793?\nAnswer: 35172","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = -143*q**3 + 7*q**2 + 13*q + 33. List the prime factors of j(-4).\nAnswer: 5, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -7, -0.5, -2\/5 in descending order.\nAnswer: -2\/5, -0.5, -3, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(-5)*(o*o*o\/(o**(6\/11)*o))\/o)\/(o**(-1\/4))**0 assuming o is positive.\nAnswer: o**(-50\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (0\/(-1))\/(7 + -8). Suppose -g = 4*k - 8 - 21, q = 3*k + 2*g - 18. Solve 3 = 11*b - k for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 1\/4*a**2 - 15\/4 + 7\/2*a.\nAnswer: (a - 1)*(a + 15)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -8*x + 69*x - 105*x - 93*x - 78*x as z + g*x and give z.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) be the first derivative of -3*j**4\/20 - 16*j**3 + 246*j**2\/5 - 1299. Let z(k) = 0. Calculate k.\nAnswer: -82, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -10 (base 4) in base 13?\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -4 - ((-2)\/(-2) + -5). Suppose 4*x - 2*c - 12 = g, 2*x + 2*c = 4*x - 2. List the prime factors of 368\/x - 6\/(-15).\nAnswer: 2, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = -16*y**2 + 13*y - 2. What is n(4)?\nAnswer: -206","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -864 = -219*f + 75*f. Put 0.14, f, -2, 0.1, 4 in decreasing order.\nAnswer: f, 4, 0.14, 0.1, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 41385299 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*-5*-1*sqrt(768) - ((5*(sqrt(768) - 2*sqrt(768)))**2 + sqrt(768))*6.\nAnswer: -115200 - 176*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1320.\nAnswer: 2, 3, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is -146 greater than -155?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -130 and -56620?\nAnswer: 7360600","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7835010?\nAnswer: 2, 3, 5, 261167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 56 - 54. Let i(g) = 5*g**o - 2*g**2 + 8*g**2 - 5*g**2. Let p(t) = 2*t. What is i(p(k))?\nAnswer: 24*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = -v - 1. Suppose 2*l + 6 = 4*l. What is y(l)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*w - 10 - 8 = 0. Is w - (3 + -6) - -111 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 408 minutes before 5:57 AM?\nAnswer: 11:09 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 1224 times 471\nAnswer: 576504","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 41723 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 49863?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Do 1737 and 82 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -3.13 - 2828005954?\nAnswer: -2828005957.13","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 13*x - 28*x + 45. Let s(q) be the first derivative of 1\/16*q**4 - 5 + 1\/8*q**2 + 0*q - 1\/6*q**x. Find h such that s(h) = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 253, 351, 485, 649, 837, 1043?\nAnswer: 1261","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {f: 2, m: 3, o: 3, g: 5}. What is prob of sequence omff?\nAnswer: 3\/2860","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -9 + (13 - 4 - (-10 + (-4 - -3))) - -1?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 142 and 1917.\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put together 20750167 and 4569.\nAnswer: 20754736","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 14 - -16. Put 3, -4, r in decreasing order.\nAnswer: r, 3, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -3314022 + -61?\nAnswer: -3314103","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -92 - -93. Let q(t) = -t**3 - t. Let u(j) = -5*j**2 + 5*j. Let z(h) = a*u(h) + 5*q(h). Let z(o) = 0. What is o?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 53.955 - 95.976. Round j to one dp.\nAnswer: -42","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1 - -3. Let t be j\/(-28) + (-83)\/7. Let w be (-3)\/4 + (-3)\/t. Which is smaller: -1 or w?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(63)*-6*1 + -3)*-5.\nAnswer: 15 + 90*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 0 - 1)*(w**4 + 0*w**4 - 2*w**4) - 5*w**4 + w - w - 3*w - 2*w**4 + 3*w.\nAnswer: -8*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (85 - 0) + 32 + 6 + -32 - (55 + -48).\nAnswer: 84","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 255385778?\nAnswer: 2, 1523, 83843","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 2210 + -11151. What is the tens digit of -4 - i\/8 - 6\/(-16)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7 + 1 + 3 + (-4 - 1 + 3)*(2 + 2 - 2) + 1 + 0 + 0 + 1 + 0 + 1)*(r + 3*r - 3*r).\nAnswer: -4*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 2827 and 7601.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u + 6*l - 2*l = -9446, -2*u + 2*l = -6302. Which is greater: 3159 or u?\nAnswer: 3159","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*i - 2*j - 16, -4*j - 1 + 5 = 2*i. Let s(g) = 37*g**2 - 9*g**2 + 7 - 18*g**2 + 5*g - 17*g**2 + g**3. Determine s(i).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4 - (6 + (-9 - -5 - -38) - 6)?\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-1)\/(-2))\/(-1*(-21)\/(-6)).\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 5\/4 of a meter?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = 14*v**2 - 5*v - 4. Let h = -77 + 81. Suppose 9 - 5 = -h*n. Let a be t(n). Solve 5*s - a = -5 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2086 a factor of 2801223880?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*z - z - 4*z)*(-3*z + 2*z + 0*z) - 50*z**2 - z - 63*z**2 + 95*z**2 as t*z + v*z**2 + u and give v.\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does 29 divide 215976?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(5) + (-2*sqrt(320))**2 + sqrt(5) - (-5*sqrt(5)*-2)**2.\nAnswer: 2*sqrt(5) + 780","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -79*c**3*g**3*n + 41*c**3*g**3 + 2*c**3*g**2 + 3*c**3 + 98*c**2*n + 7*c*g**2 - 2*g*n wrt g.\nAnswer: -474*c**3*n + 246*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = 0 - 11*w + 6 + 4*w + 11. Let h be y(2). Let g be (-357)\/36*(-4)\/14. Is g equal to h?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = z**2 - z + 5. Let l be w(0). Let t be -1 - (1\/((-3)\/(-9)) + (-16 - -7)). Suppose -l*o + 15 = -d, -d + 3*o - 4 - t = 0. Solve d = 5*c - c + 12 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/4? (a) -11 (b) -1\/22 (c) 372089\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((-2 + sqrt(208)*-2)*-5 - 3*(sqrt(208) + 1)*-2) + -2)*4)**2.\nAnswer: 28672*sqrt(13) + 855104","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 9 + 1 - (68 - 64).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 9*q - 11*q + 28. Let n be (5 - (-1)\/1) + (-56)\/q. Solve -4*z + n = 14 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1979 is divided by 275?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 183, 218, 253, 288, 323?\n\"Answer: 35*v + 148","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2967618*d + 2967614*d - 8902841*d + 2967615*d - 1.\nAnswer: 6*d - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 158, 407, 750, 1193, 1742?\nAnswer: 2403","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = -4*c**3 + 8*c**2 - 3*c - 17. Let u(m) = 3*m**3 - 9*m**2 + 2*m + 16. Calculate -2*o(f) - 3*u(f).\nAnswer: -f**3 + 11*f**2 - 14","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = -p - 3*p + 0*p + 5*p**2 + p**3. Let o be x(-3). Suppose -o = -7*m + 2*m. Solve 2*u + t + 15 = m*t, u + t + 4 = 0 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yu when two letters picked without replacement from {y: 1, h: 1, o: 2, u: 2, m: 1}.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -5 in 3\/4, -31\/4, -0.4?\nAnswer: -31\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8*u**2 - 23*u**2 - 395*u + 447*u + 8*u**2.\nAnswer: -7*u**2 + 52*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -f = -9*w - 35, 1686*f - 1691*f - w - 9 = 0 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*t**2 - 2*t**2 - 2*t**2 + 3*t**2 + 5*t**3.\nAnswer: 5*t**3 + 4*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 s when four letters picked without replacement from {x: 4, s: 6}.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 12292083.\nAnswer: 3, 1365787","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 47*t**2 + 734*t - 723253 wrt t.\nAnswer: 94*t + 734","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 2 - 1)*(-2 + o + 2) - 792*o + 379*o + 383*o.\nAnswer: -29*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.003398 rounded to 4 dps?\nAnswer: -0.0034","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify q**1\/(q\/(q**7\/q)) assuming q is positive.\nAnswer: q**6","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 51255 is divided by 1385.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7*m - 3*m - m)*(-273*m + 84*m + 111*m)*(4*m + 3*m - 3*m).\nAnswer: -936*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 2163460 a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22 = 12*p - 58. Suppose -8 = 5*t + p*m, -4*t - m - 3 - 9 = 0. Put -9, t, 1, 0 in decreasing order.\nAnswer: 1, 0, t, -9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 7033007 - 2?\nAnswer: 7033005","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = 101*m**2 + 4*m + 7. Let w be a(6). Let q = w - 2288. Is q a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -147 + -5?\nAnswer: -14c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 572 + -571.9855. Let h = z + -0.014499123. Round h to 7 dps.\nAnswer: 0.0000009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = h. Let k be n(5). Suppose -6 = 3*p - 3*m, -p + 3*m - 7*m = -13. Let j be (-6)\/24 + (9\/4 - p). Solve -5*y = -y - q - j, 3*q + 3 = -k*y for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((3 - 5 + 1)*(2 - 1 - 2) + 1 + 2 - 1)*(2 - 2 + 2)*(0*c - 3*c + 2*c)*(4 - 3 + 0).\nAnswer: -6*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -39.62871052 + 39.628. Round g to six dps.\nAnswer: -0.000711","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.4? (a) 1\/5 (b) 6\/11 (c) -1 (d) -8028396\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 68142 and 664?\nAnswer: 22623144","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -102 (base 4) to base 9\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 8, m: 1, o: 2, a: 2, z: 1}. Give prob of picking 1 f and 1 z.\nAnswer: 8\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = 2*m**2 + 10*m + 6. Let n = 122 + -128. Calculate u(n).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 87 divided by -3.\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 54463463*x**2 + 3058*x - 9110 wrt x?\nAnswer: 108926926","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put together 0.5 and -953409570613.6.\nAnswer: -953409570613.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0005797053153 rounded to 6 decimal places?\nAnswer: 0.00058","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 23 (b) -2 (c) -1960 (d) -65\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = -t**3 + 6*t**2 + 4*t - 6. Let j(i) = -i**3 + 7*i**2 + 5*i - 7. Let r(p) = -5*h(p) + 4*j(p). Let a be r(2). Solve -2*l - a*l + 8 = 0 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -527 = -2*f + m, -530 = -4*f + 2*f + 4*m. Suppose -q = 0, 5*h - q + 23 = f. What is the units digit of h?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -4 + -620?\nAnswer: -624","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor -b**2 + 50274562*b - 631882896072961.\nAnswer: -(b - 25137281)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 u and 3 v when four letters picked without replacement from uuvuuvuuvvuv.\nAnswer: 14\/99","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) be the second derivative of -37*z + 0 + 0*z**3 + 1\/160*z**5 - 5\/64*z**4 + 37\/2*z**2. Let l(t) be the first derivative of x(t). Let l(v) = 0. What is v?\nAnswer: 0, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 50445 + -15625?\nAnswer: 34820","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is (31 - 26) + -17 + 2?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = w**2 + 14*w + 41. Let z be v(-5). Let r(y) = 4*y + 18. Let s be r(z). Solve -5*p + s*p + 3 = 0 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -82 + 86. Let h be 30\/4*(-2)\/(-10)*b. Put 2, h, -4 in descending order.\nAnswer: h, 2, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 592439 to the power of 1\/7, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = 5 - j - 5. Let i(p) be the second derivative of 0*p**2 + 0 - 2*p - 1\/6*p**3. Calculate u(i(g)).\nAnswer: g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2864 is divided by 99?\nAnswer: 92","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -151888, -303781, -455676, -607573, -759472?\n\"Answer: -o**2 - 151890*o + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-1)\/(-2) + (-14)\/4. Let v = r + 4. Factor s**5 + s**4 - v - 3 - s**3 - s**2 + 4.\nAnswer: s**2*(s - 1)*(s + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine p so that -2*p**3\/11 - 5004*p**2\/11 + 349386*p\/11 - 344380\/11 = 0.\nAnswer: -2570, 1, 67","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 45750 is divided by 421.\nAnswer: 282","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 23033231 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*n = -48 - 240. Suppose n*p - 21*p + 933 = 0. List the prime factors of p.\nAnswer: 311","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 9\/5 (b) 5 (c) -13\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nnsn when four letters picked without replacement from {n: 5, g: 3, s: 1}.\nAnswer: 5\/252","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -59\/369 and -11\/94464?\nAnswer: 94464","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 595994, 595995, 595996, 595997?\n\"Answer: d + 595993","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -21, -43, -65, -87, -109?\n\"Answer: -22*k + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = 8*p**2 - 3*p - 1. Let l be q(1). Solve -6 = -3*t - 3*w, -8 + 0 = t - l*w for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 404235040?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 646 minutes after 9:50 AM?\nAnswer: 8:36 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:20 PM and 2:33 AM?\nAnswer: 553","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 55 is divided by 14?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 w when four letters picked without replacement from {w: 6}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l + 4*g = 22, 3*l + 3*g - 23 = -5. Suppose m = -l + 3. Put 5, m, -16 in descending order.\nAnswer: 5, m, -16","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = -43*l**2 - 12*l - 11. Let a be y(-1). Let f be 52\/494 + a\/38. Sort f, 0.4, 2, 11 in decreasing order.\nAnswer: 11, 2, 0.4, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-20)\/(-27))\/(-5))\/(46\/299*-13)?\nAnswer: 2\/27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(-1))**35\/(d*d*d**0*d)**35*(d\/d**(-2\/5))**(-23)*(d**(-1))**(1\/8) assuming d is positive.\nAnswer: d**(-6893\/40)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 - ((5 - 13) + 11).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 154462536 is divided by 79.\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 24641931 to the nearest integer?\nAnswer: 4964","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -1 (b) 0.11 (c) -0.3 (d) 29\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.5 - 0.3. Let j = n - -0.8. Let d = -3367\/5 - -673. Which is the second biggest value? (a) d (b) j (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rrrrrrr. Give prob of picking 2 r.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*h + 15*h + 5*k = 879, -2*h + k = -457. Calculate the remainder when h is divided by 106.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -5*i*p*q*z + i*p*z - 2*i*p - 2*i*q**2*z + 869*i*z - 69*p*q**2 - p + 2*z wrt q?\nAnswer: -5*i*p*z - 4*i*q*z - 138*p*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 12 - 0 - (-506 - -576).\nAnswer: -58","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 13820978 * 0.6\nAnswer: 8292586.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(-2\/15)*j\/(j*j\/(j\/j**11)))**(-2\/83) assuming j is positive.\nAnswer: j**(334\/1245)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 3\/5 bigger than 512777?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 15303 (base 7) to base 16\nAnswer: 10aa","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 33215302 - -42?\nAnswer: 33215344","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h = -4*l + 81 - 21, 5*h - 60 = 4*l. Calculate the greatest common divisor of h and 27.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence brbz when four letters picked without replacement from {r: 4, z: 2, l: 1, b: 4}.\nAnswer: 2\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is three sixteenths of a centimeter in micrometers?\nAnswer: 1875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -4.37 + 4. Let f = 4159 - 4159.37108. Let y = f - a. Round y to four dps.\nAnswer: -0.0011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.1472 to two decimal places.\nAnswer: 0.15","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = 11*i + 85. Let y be h(-7). Suppose y*f = -8*f + 16. Put f, 10, 0 in ascending order.\nAnswer: 0, f, 10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -343 (base 8) to base 10\nAnswer: -227","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*j**2\/3 - 1791082*j - 5373248\/3 = 0. What is j?\nAnswer: -1, 2686624","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:03 AM and 2:19 PM?\nAnswer: 676","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -34.992 + 35. Let d = u + 0.591. Let p = 0.62 - d. Round p to two dps.\nAnswer: 0.02","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -12970 - -12975. Find b, given that 2*b**4 + 0 + 3*b**3 - 4*b + 1\/3*b**x - 4\/3*b**2 = 0.\nAnswer: -3, -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 27379, 37200, 47021, 56842?\n\"Answer: 9821*k + 17558","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4275.\nAnswer: 3, 5, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*p = 3*p - 5 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -304 - -488. Let j = c - 187. Let h(a) = a**3 + 3*a**2 + 2. Give h(j).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 14 + -10. Suppose 0*w = j*w. Suppose w = 2*q - 4*a + 4, -q + 5*a + 0*a = 8. Solve -6 = -5*l + q*l for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-2)\/4*(-23 + 1). Let g = 43 - 32. What is the highest common divisor of g and j?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -491 (b) -3 (c) -2\/11 (d) 4 (e) 1\/3 (f) -12\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h - 2*h = 0. Suppose 0 = -3*d - h*d. Find q, given that 2\/3*q**3 + d*q**4 + 0*q**2 - 1\/3*q**5 - 1\/3*q + 0 = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1637916.03339722 + -1637916. Let w = 0.03345 - g. Round w to five decimal places.\nAnswer: 0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -14 by -2168.\nAnswer: 7\/1084","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) be the second derivative of 1\/45*t**5 + 0*t**2 + 0 - 1\/54*t**4 + t - 1\/135*t**6 + 0*t**3. Factor i(m).\nAnswer: -2*m**2*(m - 1)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -54*d + 2079 = 178*d - 536 + 759 for d.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_test"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.0482 + 0.330806556288.\nAnswer: 0.379006556288","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 461361920 a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 47 divided by 5169\nAnswer: 47\/5169","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 25595, 25592, 25589, 25586, 25583?\n\"Answer: -3*f + 25598","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/3 in 3, 4, 2\/1277, -2\/11, -2\/3?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__closest_test"},"subset":"dm_maths"} +{"text":"Question: What is -11 plus 0.01329?\nAnswer: -10.98671","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:41 PM and 5:51 PM?\nAnswer: 310","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(156) + sqrt(156)*-1 + sqrt(156) - (2*sqrt(1404) - sqrt(39)))\/(-6*(sqrt(243) + sqrt(243) + sqrt(243)*-2 + sqrt(243) + sqrt(243) - sqrt(243))).\nAnswer: sqrt(13)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + (3*sqrt(2299)*-3 + 1*(-4 + sqrt(2299)) + -1)**2 + 4.\nAnswer: 880*sqrt(19) + 147163","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = -r**2 + 235*r + 13257. Determine l(-47).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = -2*b**3 - 3*b**2 + b. Let m(l) = -l**3 + 7*l**2 + 10*l - 12. Let t be m(8). Let i = t - 7. Calculate the remainder when c(i) is divided by 13.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 47*g + 5*y + 7031 = 218*g, 3*g - 3*g + 5*y = -20 for g.\nAnswer: 41","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 547 = -161*b - 2004 + 458 for b.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t = i + 2*i - 6861, 2*i - 4594 = 2*t. Let b = 1158 - i. What are the prime factors of 0 - (-2)\/(-5) - b\/10?\nAnswer: 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 29405 divided by -5\nAnswer: -5881","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 41 = 2*a + 43. Is a > 1\/148?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*u + u - 3*u)*(361 + 701 + 776 + 488 + 1474).\nAnswer: -15200*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-eight fifths of a millimeter in micrometers?\nAnswer: 9600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.3*-2.48.\nAnswer: -0.744","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1634, 5296, 11392, 19916, 30862, 44224, 59996?\nAnswer: 78172","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 22.6, 5, -5, 3, 0.2?\nAnswer: 22.6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-595)\/425)\/((-1)\/(-5))?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 95 and 125704.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 2 (b) -5 (c) -6\/11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 480347440?\nAnswer: 2, 5, 6004343","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-321)\/9)\/((-11)\/33). Let d = 117 - j. Let n(c) = c**3 - 11*c**2 + 12*c - 12. What is n(d)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = h**3 - 2*h**2 - 4*h + 4. Let u = 207 + -204. Determine t(u).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*k**2 + 11*k - 49*k + 9*k + 11*k + 18*k.\nAnswer: -2*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 11\/8 of a minute?\nAnswer: 82500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 6 - 0. Let x be ((-4)\/3)\/((-4)\/y). Let d be 2\/3*9\/3. Solve -x*s + 7 = -s + t, -s + 2*t = d for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = m**3 + 8*m**2 - 8*m + 5. What is o(-9)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = 2*w**2 + 10*w + 1. Let v be (2\/(-1))\/((-28)\/(-98)). Is y(v) a multiple of 23?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -8 by 3377.\nAnswer: -8\/3377","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 15 - -75. Find the first derivative of q*c**2 + 102 - 171*c**2 + 89*c**2 wrt c.\nAnswer: 16*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2\/11*r**5 + 160\/11*r**2 - 512\/11 + 128\/11*r - 16\/11*r**4 - 8\/11*r**3 = 0 for r.\nAnswer: -4, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 o and 1 r when three letters picked without replacement from oorrqv.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 32995838 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Add 945 and -3.76095431979.\nAnswer: 941.23904568021","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t + 28 = 4*z, -4*z - 267*t = -272*t - 91. Suppose -3*w - 1 + 4 = 0. What is the greatest common divisor of z and w?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*f - 150 + 143 = 3*w, 2*f - 5*w - 18 = 0 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 368752464 a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -48\/7 and (65\/6)\/(((-4)\/6)\/1).\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 3537206397?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 7 - 5. Suppose -61 = -q*o - 5*i, 0 = 4*o + 2*i - 0*i - 82. Let x = -2 + o. Solve -n - 3*n + x = 0 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = 7*b**3 + 6*b**2 - 5*b - 5. Let n(f) = 4*f**3 + 3*f**2 - 3*f - 3. Let d(z) = -5*n(z) + 3*y(z). Let i be d(-2). Solve 0*j + 2*j = i for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*n**2 + 26432*n - 43665664 = 0.\nAnswer: 3304","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 55200 and 84801?\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 2a + aa8a5?\nAnswer: aa913","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express 2 - 5 - 7 + 30*m**2 + 6*m**2 - 27*m**2 in the form l + b*m + d*m**2 and give l.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 33?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is five quarters of a week in hours?\nAnswer: 210","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -584 and 1.99?\nAnswer: 585.99","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.05 - -3.95. Let i = -0.27 + 2.27. Which is the second biggest value? (a) y (b) 3 (c) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 40884304039 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.2 + 9.8. Let y = -15 + l. Let j = -0.2 + -0.1. Which is the nearest to 2\/3? (a) j (b) -1\/5 (c) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 22131 + -3011?\nAnswer: 13120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 q, 1 v, and 2 s when four letters picked without replacement from vqssdqvds?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1277.074201 + -1277.14. What is b rounded to three decimal places?\nAnswer: -0.066","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 895 is divided by 869.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mwr when three letters picked without replacement from urwirmi?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor 7*f**2 - 1 - 12*f + 1 - 4.\nAnswer: (f - 2)*(7*f + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 41613883 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (9\/((-540)\/28))\/(((-336)\/(-40))\/(-14)).\nAnswer: 7\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 665 minutes after 9:06 AM?\nAnswer: 8:11 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -259360 divided by -129680?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put 1.935, -0.1, -2\/3, 319.9 in decreasing order.\nAnswer: 319.9, 1.935, -0.1, -2\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -17 + 7 - 2*b + 10 to the form c + w*b and give w.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = -7*z**3 + 24*z**2 - 3*z - 70. Let k(f) = 3*f**3 - 11*f**2 + 2*f + 33. Let n(q) = -9*k(q) - 4*r(q). Calculate n(-4).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + 5*((0 + sqrt(245))*3 + 0 + -5*(sqrt(245) + 0) + (sqrt(245) + sqrt(245) + 1 + -5 - sqrt(245)) + -1))**2.\nAnswer: 2030*sqrt(5) + 6966","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 48*s - 405 = -33*s. Solve 3*f - d = 11, s - 1 = 2*f + d for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*n + 2*r - 5, -12*n - 8 = -64*r + 59*r for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00011865 rounded to 6 decimal places?\nAnswer: 0.000119","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = 2*q - 4 + 6 - 5 + 3. Let w(k) = 280*k**2 - 567*k**2 + 285*k**2. Calculate n(w(m)).\nAnswer: -4*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 211 (base 4) in base 13?\nAnswer: 2b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 122920.\nAnswer: 2, 5, 7, 439","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = -u - 0*u + z, -3*u + 9 = z. Is u less than or equal to 2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*l - 7 - 14 = 3*g, 2*l + 35 = -5*g for g.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = 11*q**2 - 6*q - 19. Let z(w) = 5*w**2 - 3*w - 9. Give -4*v(y) + 9*z(y).\nAnswer: y**2 - 3*y - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*t = t + 210. Suppose -2*a + 4*i - 228 = 0, -i = a - 2*i + 112. Let u = -96 - a. What is the highest common factor of u and t?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 15 - 9. Let f = x - 13.5. Let b = -7 - f. What is the third smallest value in -4, -0.3, b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = b + 3. Let a(x) = -4*x - 13. Let k(v) = a(v) + 3*n(v). Give k(-2).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -4 - -60010?\nAnswer: 60003","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -32*r**3 - 29*r**3 - 7*r**3 - 27*r**3 + 5*r**3.\nAnswer: -90*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 3\/(-6)*(-2 - -2). Let a = t + 4. Is a\/10 - 204\/(-15) a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-4)\/1 + 3 - 4. Let t(y) = 2*y - y**3 - 283 - 3*y**2 + 3*y + 284. What is the units digit of t(r)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -5.31 + 5.41. What is the closest to 2\/15 in -0.3, y, -2\/13, -12?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -588 + 345. Let n = 242.9879 + s. Round n to 3 dps.\nAnswer: -0.012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = -1730*k. Let m(j) be the second derivative of -4*j**3\/3 + 9387*j. What is c(m(s))?\nAnswer: 13840*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in one ninth of a hour?\nAnswer: 400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1 - 1. Suppose -3*u + 10 = 2*u. Suppose s*c = -c + u. Is 5\/2 at least c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*w - 4 = -4*k - 0, k - 11 = 4*w for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 33310 + 32?\nAnswer: 100002","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 15367, 29939, 44509, 59077?\nAnswer: 73643","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = -q**2 + q. Let s be 22 + (1 + 2)\/(-1). Suppose -s + 23 = -2*g. Let y(t) be the first derivative of t**3\/3 - t**2 - 2. Calculate g*y(i) - 4*c(i).\nAnswer: 2*i**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 345211 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.0656246*62.4.\nAnswer: 4.09497504","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 158 minutes before 1:56 PM?\nAnswer: 11:18 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0*g + 3\/4*g**5 + 9747*g**2 + 9576*g**3 + 0 - 681\/4*g**4.\nAnswer: 3*g**2*(g - 114)**2*(g + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xjymm. Give prob of picking 1 j and 1 m.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g**(2\/23)*g**(5\/9))\/(g**(-4\/9)\/(g\/((g\/g**(2\/25))\/g))))**(-1\/59) assuming g is positive.\nAnswer: g**(-1246\/33925)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 36*f - 37*f - 21*f - 1 + 1.\nAnswer: -22*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = g + 2. Let q be n(3). Solve -4*j + 4*t + 41 = j, 3*j - q*t - 35 = 0 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 278 is divided by 20.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2 = 2*y - 0*y for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 + (4 - (-3 - -5 - 1))?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 0.381 - 51.7\nAnswer: -51.319","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -194 + 154 - (-47 - -3).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00000056821 rounded to seven dps?\nAnswer: 0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q = -2*m - 26, m = q + 4*q - 57. List the prime factors of q.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -307636940 rounded to the nearest one million?\nAnswer: -308000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 23.9? (a) 2 (b) -0.3 (c) 0.5503 (d) -2 (e) 1\/8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 113205360?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Are 1 and 3\/6083 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1989.\nAnswer: 3, 13, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g + 105 = -0*x + 4*x, 99 = 4*x - g. Suppose -3*n = -4*n + x. Suppose 8 = -3*h + 38. Solve 3*w + w = 4*r - n, 2*w - r + h = 0 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -182, 2\/15, -33, 0.282 in ascending order.\nAnswer: -182, -33, 2\/15, 0.282","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -19 + -1 - (2 - 2). Is s < -20?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -209809 or -209810?\nAnswer: -209810","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Determine v so that -v**5 - 335447*v**4 - 28129662888*v**3 + 253191454208*v**2 - 225061455872*v = 0.\nAnswer: -167728, 0, 1, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.33 - 0.4. Which is the biggest value? (a) -0.5 (b) -0.4 (c) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = -p - 5. Let w = 32 + -32. Suppose -t = -w*t. Calculate y(t).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 198739?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 10547868?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c + 4*c = 8. Suppose -i - 2 = 1. Let d(o) = -15*o - 5. Let s be d(i). Solve 37 = -c*r + 3*b + 5, 4*r - 5*b + s = 0 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = -8*i + 3. Let x(o) = 6277141*o. What is q(x(f))?\nAnswer: -50217128*f + 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = i. Let s(f) = -4026*f**2 + f. Determine s(m(a)).\nAnswer: -4026*a**2 + a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 2088, 208, -2926, -7314?\n\"Answer: -627*z**2 + z + 2714","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide -88329 by 88329.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 101\/760 and -37\/15618.\nAnswer: 312360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*c - 2*c + 2*c**2 + (0 + 2 + 0)*(4 + 2*c**2 - 4).\nAnswer: 6*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1 - 2. Suppose -4*j + z - 3*z - 196 = 0, 0 = j + 5*z + 49. Let k = -54 - j. Sort k, f, 0 in ascending order.\nAnswer: k, f, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 24*u - 46 - 33 - 17 = 0 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.01 - -0.08. Let h = 5.07 - f. Which is the third biggest value? (a) 2 (b) -2 (c) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.2 in -11\/2, 3, -3\/505, -0.1?\nAnswer: -3\/505","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = -6*u + 163. Let r be z(26). What is the first derivative of -9*o + 33 + 21*o - 47*o**2 - 7*o - r*o wrt o?\nAnswer: -94*o - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = 10*q**2 + 13*q + 29. Suppose -5*y - 2*c - 565 = 0, -2*y - 2*c - 452 = 2*y. Let v = y - -108. What is the units digit of f(v)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 111 + -12?\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 + -1 + 3\/(12\/248) a multiple of 26?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.2 + 4.2. What is the nearest to 0.2 in -3, -0.3, c?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 23576, 188903, 637680, 1511633, 2952488, 5101971, 8101808, 12093725?\nAnswer: 17219448","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 2961 + -2940. What is the third biggest value in -1\/5, 0.3, w, -2\/7?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -35340 - -35345. Let u = -4.7 + 5. Which is the third smallest value? (a) 0.4 (b) u (c) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = 21*p. Let y(b) = -6*b + 1. Let q(i) = -28*i + 13. Let f(s) = -q(s) + 5*y(s). Give l(f(v)).\nAnswer: -42*v - 168","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*v**5 + 332656*v**4 - 9649896*v**3 + 40936192*v**2 + 435603172*v + 384684432 = 0 for v.\nAnswer: -83193, -4, -1, 17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.2 and 19531880.\nAnswer: -3906376","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*c - 17*c = -75. Let r(g) = -g + 15. Let s be r(0). Is (-84)\/s*c\/(-6) a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from serssseesreesss. What is prob of picking 3 e and 1 r?\nAnswer: 4\/273","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -134 (base 6) in base 10?\nAnswer: -58","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express 12*g**2 + 2 - 41*g - g**2 - 42*g + 80*g as f + q*g + t*g**2 and give t.\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor -q**5 - 8*q**4 - 13*q**3 - 6*q**2.\nAnswer: -q**2*(q + 1)**2*(q + 6)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -8 - -19. Let w be y\/(-3) + (-16)\/(-24). Let t be (-2)\/(-4)*(-3 + w). Put t, -11, 4 in descending order.\nAnswer: 4, t, -11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 42281 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 23428 is divided by 3900.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = 7030*d - 818. Let s(z) = -6940*z + 817. Let n(j) = 2*f(j) + 3*s(j). Find the first derivative of n(u) wrt u.\nAnswer: -6760","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2102083 to the power of 1\/9, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -2419528*j**2 - 4033997 wrt j?\nAnswer: -4839056*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 12536.598 minutes?\nAnswer: 208.9433","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f*f*f**(4\/3))\/f*f*f**24*f**(-28)\/(f*f**6\/f))**(-3\/14) assuming f is positive.\nAnswer: f**(10\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = k**2 - 2*k - 3. Let d be r(3). Let a(z) = z**2 - 20*z + 4. Let l be a(20). Is (-3)\/l*(-2536)\/(d + 2) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 738\/(-144) + (-32 - -38).\nAnswer: 7\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3204 a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in eighteen fifths of a microgram?\nAnswer: 3600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: ((-5)\/(-10)*286\/(-1287))\/((-4)\/66)\nAnswer: 11\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 259 + -128. What are the prime factors of l?\nAnswer: 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2 divided by 422054\nAnswer: -1\/211027","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 4 + 2. What is the units digit of y?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*f + 2*f + 2*f)*(-f**4 + 0*f**4 + 0*f**4) + 0*f**4 + 0*f**4 - f**5 + 0*f**5 + 5*f**5 - 2*f**5 + 137*f**5 - 573*f**3 + 573*f**3.\nAnswer: 138*f**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1751?\nAnswer: 17, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*r = 4*o + 7*r - 11644, -10 = -2*r. Suppose 4*v + o = 7*v + 5*x, -3*v + 2895 = -2*x. What is the tens digit of v?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 times -11.4?\nAnswer: -57","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1*(-10)\/2*2\/(-2).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*i**3 - i**3 + 1010*i - 978*i.\nAnswer: -i**3 + 32*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 236774.\nAnswer: 2, 118387","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1704 and 4260.\nAnswer: 8520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -41929\/20 + 2098. Calculate the common denominator of -1 + (225\/6 - -3) and o.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gmg when three letters picked without replacement from cmmmggm.\nAnswer: 4\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8835*b**3 + 1219*b**3 - 4794*b**3.\nAnswer: -12410*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) be the third derivative of v**9\/6048 + v**6\/720 - v**5\/30 + 3*v**2. Let t(b) be the third derivative of h(b). What are the prime factors of t(1)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -14170, -27469, -40768, -54067, -67366?\nAnswer: -80665","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*v - 7 = -17 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 10079 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8469811795.\nAnswer: 5, 751, 2255609","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 25\/1*-111*83\/(-9213)?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1 or -6.0669?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 288636626 to the nearest integer?\nAnswer: 16989","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -1104.04+-7\nAnswer: -1111.04","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*p**4 - 536*p**3 - 764*p**2 + 30240*p.\nAnswer: 4*p*(p - 135)*(p - 7)*(p + 8)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) be the first derivative of n**6\/360 - n**5\/20 - 5*n**4\/24 - n**3\/3 - 9. Let p(w) be the third derivative of u(w). Determine p(6).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 432 minutes after 2:36 PM?\nAnswer: 9:48 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1163, 1165, 1167, 1169, 1171, 1173?\nAnswer: 1175","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*r + 64 = -3*r - 5*l, -4*l + 114 + 952 = 22*r for r.\nAnswer: 49","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0*13719.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Determine n, given that 220*n**5 + 41352*n**4 - 2164*n**3 - 123616*n**2 + 87216*n - 3008 = 0.\nAnswer: -188, -2, 2\/55, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-100)\/6)\/((-31)\/(-217) - 77\/(-147)).\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 54730.69 kilograms to micrograms.\nAnswer: 54730690000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 17869 - -1.\nAnswer: 17870","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 74 - -21. Let v = 98 - g. Differentiate -42 + 2*n - v*n - 3*n + 22*n with respect to n.\nAnswer: 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 24 a factor of 39165816?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-75)\/9)\/(2\/(-4)). Factor -64\/3*y - z*y**5 - 190\/3*y**4 - 8\/3 - 278\/3*y**3 - 194\/3*y**2.\nAnswer: -2*(y + 1)**3*(5*y + 2)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2985 is divided by 362?\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 343823 is divided by 156?\nAnswer: 155","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m = 5*q + 8*m - 3745, -q = -m - 749. Let r = q + 68. Is r composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*u**3 - 6 + 86 - 18.\nAnswer: -6*u**3 + 62","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -39*u**2 - 17*u**2 - 16*u**2.\nAnswer: -72*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((y\/y**1*y*y)\/y)**(7\/3))**24 assuming y is positive.\nAnswer: y**56","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -37 + 34. Suppose -u = -4*c + 3, -10*c + 5 = -5*c. Let m = 13 - 8. Put m, u, n in ascending order.\nAnswer: n, u, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-224)\/64)\/((-14)\/4). Sort 4, 76, n in ascending order.\nAnswer: n, 4, 76","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 45858992 divided by 4\nAnswer: 11464748","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve y = -j + 7, -56*y - j + 157 = -70 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) be the third derivative of c**4\/24 - c**3\/3 - 5*c**2. Let f be x(3). Let r be f\/(-3) - 9\/(-27). Which is bigger: 3 or r?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -60 - -64. Suppose 0 = -h - 4*j - 12, -j + b*j + 9 = -h. Suppose -6*x - 10 = -x. Which is smaller: x or h?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 750 and 4875?\nAnswer: 375","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 144?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = s**2 - 2*s + 3. Let z be o(3). Let k be 6\/(-27) + 60\/27. Suppose -k*g = 43 - 151. Calculate the highest common divisor of z and g.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 14 divided by -111044\nAnswer: -7\/55522","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + sqrt(288)*5*-1 - (0 + -3*sqrt(288))*-6)**2.\nAnswer: 152352","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 5 - 1515474155?\nAnswer: -1515474150","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = -b**2. Let m(s) = 2*s**2 - 19712*s + 2. Calculate m(z(h)).\nAnswer: 2*h**4 + 19712*h**2 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5\/6, -3, -0.6, -6, -5.57 in descending order.\nAnswer: 5\/6, -0.6, -3, -5.57, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 1209284260 a multiple of 43?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = -b**3 + 9*b**2 - 6*b + 17. Let d(g) = g**2 - 13*g + 44. Let r be d(9). Is 33 a factor of h(r)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 11692*x**6 + 979*x**2 - 33.\nAnswer: 1403040*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:27 PM and 4:07 AM?\nAnswer: 400","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -w + 5 + 14. Suppose 3*v - 11 = -p, -2*p - w = -4*p - 5*v. Solve -p*c - 8 = -6*c for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = k**3 + 6*k**2 + 3*k - 5. Let m be a(-4). Let c be (m\/6)\/((-2)\/(-4)). Suppose -c*b - 1 + 11 = 0. Solve -b = -3*x + 2*x for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*z - 3*q + 23 = 13, 3*q = 26*z + 31 - 58 + 187 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 f and 1 u when three letters picked without replacement from {f: 3, k: 4, u: 6, c: 2}.\nAnswer: 18\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 68 + 29*o - 7*o**2 + 12*o**2 - 4*o**2 - 29*o + 66.\nAnswer: o**2 + 134","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 97.42947ns in minutes?\nAnswer: 0.0000000016238245","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (0 - -3)*(5565\/280 - 20)*-40?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -524, -1019, -1516, -2015, -2516, -3019, -3524?\n\"Answer: -x**2 - 492*x - 31","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 11411538 to the nearest integer?\nAnswer: 58","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 5646.741m in kilometers?\nAnswer: 5.646741","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -23 - (-7 - (-95 + 42) - 2).\nAnswer: -67","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in -0.1, -1\/7, 1, 211\/13, 2\/7?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -909\/5 + 181. Let q = 11 + -16. Which is the third smallest value? (a) u (b) 0.04 (c) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(-18)*p*p*p**(-1\/17))**(-1\/11) assuming p is positive.\nAnswer: p**(273\/187)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l + 5*a = -0*l - 133, -3*l + 114 = a. Suppose u = 2*u - l. Is u a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = -3*x + b + 7, 5*b + 13 = -x. Let i(l) = 11*l. Suppose -5*r + 8 = -42. What is the least common multiple of r and i(x)?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7 - 2*c + 4*c**2 + 7 - 2*c**2 = 0 for c.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -19.08601899 to three decimal places.\nAnswer: -19.086","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -36\/1327 and 107\/13270.\nAnswer: 13270","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 79, 130, 245, 424, 667?\n\"Answer: 32*a**2 - 45*a + 92","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = -143*k. Let m(z) = 3*z. Determine l(m(x)).\nAnswer: -429*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 217396?\nAnswer: 2, 17, 23, 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 9\/(-15)*60\/18. Which is the third biggest value? (a) -265 (b) -1\/2 (c) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x + 0*x = -10, 0 = 4*g + 2*x - 1376. Let l = g - -11. List the prime factors of l.\nAnswer: 2, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.54 times -23.317\nAnswer: -12.59118","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 9\/(-63) - (-136)\/(-28)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -110000001 + -111111001?\nAnswer: -1101111010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 120094?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*t**5 - t**5 + 3*t**5 - t**5 - 2*t**4 + 2*t**4 + (7 - 4 + 3)*(t**5 - 4*t**5 + 2*t**5) - t**5 + 3*t**5 - 3*t**5 - t**3 - t**5 + t**3.\nAnswer: -10*t**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 10\/(-4)*(-2 + 4). What is the second smallest value in -3, r, 3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g - 5 = -47. Let s be (g - -14)\/(0 + -1). Suppose -6*k + 152 = -2*k + j, s = k + 5*j - 57. Is k a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q - 13*r - 908 = -9*r, -2242 = -5*q - 4*r. List the prime factors of q.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 4\/199 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*4*3*((sqrt(70) - -3*(sqrt(70) + (sqrt(70) - -2*sqrt(70)))) + sqrt(70))\/(sqrt(20)\/sqrt(72)).\nAnswer: -4032*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 47557 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3\/4 in -1, -4, 6\/5, 0.8?\nAnswer: 0.8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 122*d**2*f**2 + 6*d**2*w - 4*d*w**2 + f**3*w**2 - 28*w wrt f?\nAnswer: 244*d**2*f + 3*f**2*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/703 in -2, 6\/7, -0.5, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -7, 40, -1.\nAnswer: -7, -1, 5, 40","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -44 in 5, -0.1, -47734?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = -47*i + 372. Let c be l(25). Let h = 1321 + c. Is h a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0 - -0.1. Let q = -3.099 - -7.099. What is the nearest to 0.1 in w, 15, q?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jg when two letters picked without replacement from {w: 7, r: 1, j: 1, g: 5}?\nAnswer: 5\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 118094050 and 1.\nAnswer: 118094050","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 9 + -6 + (-8 - -18) - 6\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 66\/(-275)*-165 + (-8)\/(-20). Solve 0 = -58*a + y*a + 72 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 352055256?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from jrrjrjrrrrrr. What is prob of sequence jjj?\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -129 - -133. Suppose 2*k = 4*r - k - 16, r - 5*k = w. Let l = -41 + 57. What is the highest common factor of l and r?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 244 and 416996?\nAnswer: 244","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 8854546?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 42\/27 - ((-84)\/9)\/(-7). What is the fourth smallest value in p, 5, 0.5, -4\/5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 21 (base 3) to base 6.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 37951 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:36 PM and 8:37 PM?\nAnswer: 121","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 45*c - 2 - 448 = 0. Let o(j) be the first derivative of 0*j - 20\/3*j**3 + 1 - c*j**2 + 15\/4*j**4 + 4*j**5 + 5\/6*j**6. Factor o(s).\nAnswer: 5*s*(s - 1)*(s + 1)*(s + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 2 and 2*-9*(-5)\/10?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 4 + 26?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 128233451?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 17\/4 of a day in minutes?\nAnswer: 6120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: ((4 - 41) + -2 - -4) + 104 + -101\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-15)\/(2220\/(-6031)) + 4\/((-16)\/(-5)).\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2979203?\nAnswer: 37, 73, 1103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 31192.6 - 35011. Round x to the nearest one thousand.\nAnswer: -4000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = 4*y + 3*y - 3 - 2*y + 2. What are the prime factors of w(6)?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -4703, -9412, -14121, -18830, -23539, -28248?\nAnswer: -32957","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (6\/2)\/(-1) + 8. Let m be (-2)\/g + (-24)\/15. What is the nearest to -1\/3 in 0.1, m, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*c + 1 = -2*r, c - 1 = -4*r + 2 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(57)\/(sqrt(12)\/(sqrt(4)*1 + sqrt(4))) + 0 + (-4*sqrt(475) - (sqrt(684) + -2)))*6*-2.\nAnswer: -24 + 288*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f = -10*f + 35. Let a(l) = -21 - 2*l + 11*l - l - 594*l**2 + f*l. Let w be a(9). Round w to the nearest ten thousand.\nAnswer: -50000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 242 is divided by 21?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rr when two letters picked without replacement from {r: 10}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 763099 to the power of 1\/2, to the nearest integer?\nAnswer: 874","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 2 and -0.108.\nAnswer: -0.216","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:29 AM and 11:51 AM?\nAnswer: 322","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-694*x + 417*x + 426*x)*(4 + 1 - 2).\nAnswer: 447*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1 * 12113.38.\nAnswer: -12113.38","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in three fifths of a centimeter?\nAnswer: 6000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = 105*v**3 + 1262*v**2 + 73*v + 577. Determine y(-12).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 29 a factor of 2262?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((0 + -3)\/(-9))\/((-1)\/3). Let s be q\/4 - 21\/40*-2. Factor -8*n**2 - s - 18\/5*n**3 - 26\/5*n.\nAnswer: -2*(n + 1)**2*(9*n + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = -t**2 - 9*t - 5. Let s be q(-8). What is the units digit of 0 + s + -3 + 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 783 is divided by (-1 + (-22)\/(-4))\/((-96)\/(-512)).\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 6773?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -673 + 673.3. Let b = 0.481 - 0.091. Let a = b + 0.01. What is the closest to a in -2\/5, 2\/5, w?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) be the third derivative of -m**5\/60 + 5*m**4\/12 + m**3\/2 - m**2 - 24*m - 3. Determine w(10).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d - 2*f = -26, -5*f - 5 = 3*d - 8*d. Suppose -20 = -n - d*c, -25 = -9*c + 4*c. Solve -t = -3*j + 2, n*j - 5*j - 15 = 2*t for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) be the first derivative of -3*j**2 + 3*j**2 - 2*j**2 + 11 + 3*j**2. Let n(x) = 2*x + 2*x + 2*x. Give n(g(d)).\nAnswer: 12*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -54 - -55. Which is bigger: 6\/25 or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 6737, 13468, 20193, 26906, 33601, 40272?\nAnswer: 46913","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 96348331 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor 10*k**3 + 15 + 11*k**2 - 10*k - 52*k**2 + 26*k**2.\nAnswer: 5*(k - 1)*(k + 1)*(2*k - 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -99870808085 + 99870808085 + 145*y.\nAnswer: 145*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/7? (a) 1 (b) -0.5 (c) 49 (d) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -5 (b) 1964 (c) 44 (d) -46\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Does 87 = 87?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = p**3 + 11*p**2 - p - 13. What is the remainder when x(-6) is divided by 25?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = -6*g**2 - 4*g**3 - 3 - 8*g - g**2 + 5*g**2 - 2. Let z be s(-5). Let m = z - 1003\/2. Find the common denominator of m and 61\/12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 108003 a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 13475 and 3025?\nAnswer: 275","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1558, 6311, 14290, 25507, 39974, 57703, 78706, 102995?\nAnswer: 130582","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-272)\/(-6) + (-150)\/(-90))*2. Calculate the highest common factor of 423 and w.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*t**2 + 64382644*t.\nAnswer: 4*t*(t + 16095661)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 4}. Give prob of sequence dd.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i + 2*i = 2. Suppose 12 = i*f - a, -f + 5*a = -0*a + 3. Let s = -15 + 24. What is the least common multiple of s and f?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-5220 - -5269) + 1 + -68\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 188901?\nAnswer: 3, 139, 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Do 60 and 58 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = u. Let s(i) = -10 - 60*i**2 + i + 10 + 131*i**2. Give q(s(j)).\nAnswer: 71*j**2 + j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xxn when three letters picked without replacement from {x: 4, n: 7}?\nAnswer: 14\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*y**2 + 33*y**3 - 202 + 209 + 0*y**2.\nAnswer: 33*y**3 + 7","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 139087 to the power of 1\/2, to the nearest integer?\nAnswer: 373","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 3\/(-15) - (-80)\/25. Suppose -y = -3*d + 569996, -4*d + y + 189996 = -c*d. What is d rounded to the nearest 10000?\nAnswer: 190000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**1)**(-7\/2)\/(w**(-1\/4))**(-48) assuming w is positive.\nAnswer: w**(-31\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + 2 + (5*sqrt(931)*-2 + 0)**2.\nAnswer: 93101","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1190 = 38*w - 33*w. Suppose -j = w - 235. Let q = -47\/14 - -493\/126. Sort q, j, -2, 2\/7 in descending order.\nAnswer: q, 2\/7, -2, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {b: 1, m: 4, y: 1, r: 3, t: 5}. Give prob of picking 3 r and 1 m.\nAnswer: 4\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 887415.\nAnswer: 3, 5, 67, 883","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 less than -3.9537070440178?\nAnswer: -2.9537070440178","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = r + 1. Suppose -3 = -3*o + 3. Let y(s) = 5*s + 5. Calculate o*y(a) - 11*d(a).\nAnswer: -a - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 0.07 (b) 4\/5 (c) -4 (d) -0.74 (e) 3.3 (f) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -7\/2 and -51\/1293694.\nAnswer: 1293694","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*r + 1 + 5. Suppose -r*u + u + 4 = 0. Suppose -3*o - u*f + 15 = 0, -4*f - 40 = -o - 3*o. What is the least common multiple of o and 10?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 8460568 - 8461393.1423. Let d = -825 - s. Let i = 0.135 - d. What is i rounded to three dps?\nAnswer: -0.007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (25 - -480921)*(-3 - 7\/(-2)) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.3 times -320877396\nAnswer: -96263218.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = -t - 2. Let b be i(9). What is the units digit of 9\/15*(b - -6) - -284?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t - 3*k + 15 - 3 = 0, 0 = 2*t + 2*k - 8. Suppose 2*d = 2*q + 30, 3*d - 4*q - 49 + 7 = t. What is the units digit of d?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:03 PM and 7:40 AM?\nAnswer: 697","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = -t**3 - 5*t**2 - 2*t + 4. Suppose -2*w - 2 = -16. Suppose w - 23 = 4*r. Determine g(r).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 32140 is divided by 277.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*u = 4*q - 6, 4*u = 4*q - 5*q + 15 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 74358.65nm in millimeters?\nAnswer: 0.07435865","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -415*j + 92*j + 344*j.\nAnswer: 21*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 6985 and 55.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 6736023 to the power of 1\/3, to the nearest integer?\nAnswer: 189","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ieezieiwwzhhnin. Give prob of sequence izn.\nAnswer: 8\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*w + 4*w = 0. Suppose -7*d - 4*j = -2*d, w = -d + 4*j. What is the units digit of 1 - (-2 + 2 - d)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = 7 - 7*h - 15*h - 13*h + 29*h - h**2. Let q be o(-7). Suppose -4*f - 3*t + 177 = q, 0*f - 183 = -4*f - 5*t. What is the units digit of f?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.03 + -0.97. Let f = 2 - 6. Let s = f - -4.2. Which is the closest to s? (a) -2 (b) l (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -109850093 and 0.08?\nAnswer: -8788007.44","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = f**2 - 3*f - 2. Let j be a(4). Let m(u) = j*u**2 + 2*u**2 - 2*u**2. Let c(y) = 2*y**2. Calculate m(c(w)).\nAnswer: 8*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -94*p - 85*p + 48*p = 131 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00036998513 rounded to six dps?\nAnswer: -0.00037","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -3667, 38, -4 in descending order.\nAnswer: 38, -2, -4, -3667","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -120978, -120963, -120938, -120903?\n\"Answer: 5*n**2 - 120983","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 9 from 0.142.\nAnswer: -8.858","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from vwlvwwbrvvrwlvlw. What is prob of picking 1 v, 2 r, and 1 w?\nAnswer: 5\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*i + 0*i - 983 + 1059 = 38*z, -5*i = -2*z + 4 for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*t**3\/5 - 228*t**2\/5 - 231*t\/5.\nAnswer: 3*t*(t - 77)*(t + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*i**4 + i**4 - 2*i**4)*(2 - 4 + 3)*(-6 + 2 + 3).\nAnswer: i**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = 2*r**3 - 186*r**2 - 177*r - 1003. Give a(94).\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 1508 a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = 8651*d - 8631. What is y(1)?\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -16955, -16966, -16977, -16988?\n\"Answer: -11*m - 16944","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor b**3\/4 + 797*b**2\/4 + 70903*b\/4 + 1678299\/4.\nAnswer: (b + 49)**2*(b + 699)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -11*x + 10*x + 3. Let q = 0 - 0. Suppose -33 = -x*n - q*n. What are the prime factors of n?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-29 + -6)*14\/(-10) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = -2*h**2 + 16*h + 11. Determine x(9).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(300)*-2 + -1 - 1*-1*sqrt(300))**2 + -3.\nAnswer: 20*sqrt(3) + 298","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand 31*c - 47*c + 11 + 17*c + (-5 + 5 - 3)*(-6*c + 2*c + c).\nAnswer: 10*c + 11","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zz when two letters picked without replacement from {y: 4, t: 1, j: 1, z: 5, e: 5}?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 5488?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*i + 200 - 52 + 109 + (-1 - 2*i + 1)*(2 - 2 + 1))*(-10*i**3 + 5*i**3 - 22*i**3).\nAnswer: 108*i**4 - 6939*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5 + (-1 - 3 - (7 + 7))?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = p**3 + 30*p**2 + 59*p - 70. Calculate l(-28).\nAnswer: -154","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 14444300 rounded to the nearest 100000?\nAnswer: 14400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = -9*s + 1 + 6*s + 1 + 9*s**2. Let d be q(1). Let w be d\/132*(6 - 0). Which is smaller: w or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -246150501 - -4?\nAnswer: -246150486","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 34 (base 7) to base 10\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = 2*g**2 - g + 1. Let p be (4 - (-3)\/(-1)) + 1. Let l be o(p). Solve 3*h - 1 = -l for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 16012 is divided by 51?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = 6*a**2 - 1 - 6*a - 16*a**3 + 5*a**2 + 15*a**3 + 2. Let i(l) = l**3 + 5*l**2 + 4*l + 4. Let t be i(-4). Is j(t) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + sqrt(500))*-2.\nAnswer: -20*sqrt(5) + 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1438002.\nAnswer: 2, 3, 79889","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 704*t - 1628*t + 418*t + 986*t.\nAnswer: 480*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 107045 is divided by 2100.\nAnswer: 2045","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 2 (b) -1\/3 (c) 0.06 (d) 0.015\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4465 - 4570 = 7*h for h.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 4176 and 2016?\nAnswer: 58464","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 214889 to the nearest integer?\nAnswer: 60","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or -13\/681?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.3, 41, 2\/7, -1.3, -0.18 in decreasing order.\nAnswer: 41, 2\/7, -0.18, -0.3, -1.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((y*y*y*y**1*y*y)**31*(y**(-1\/3)\/y)\/y*y**(-1\/6)\/y*y*y)**(4\/11))**50 assuming y is positive.\nAnswer: y**(36900\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 112 is divided by 19?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -105393271*g**3 - 12963456*g**2 + g + 1?\nAnswer: -632359626","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -4641304172295 - -0.08\nAnswer: -4641304172294.92","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 209 and 95.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 1076412850 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 5 + -17?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) be the first derivative of -3*u**2\/2 + 7. Let v(m) be the first derivative of m**3 - 11. Determine r(v(l)).\nAnswer: -9*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 72774 + 0?\nAnswer: 72774","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yf when two letters picked without replacement from {y: 2, h: 2, f: 2}.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = -s**3 - 5*s**2 - 5*s - 4. Let a = -1 + -3. What is n(a)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 198641\/24 - 8274. Find the common denominator of 67\/36 and v.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) be the third derivative of -h**7\/840 - h**6\/120 + h**5\/60 - h**4\/8 + 13*h**3\/2 + 2*h**2. Let c(v) be the first derivative of w(v). Calculate c(-4).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from lalzllzazzlllazlzz. Give prob of sequence aaaz.\nAnswer: 7\/12240","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 494, 992, 1494, 2000, 2510?\nAnswer: 3024","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 29220 is divided by 19?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 3528879 a multiple of 96?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rjj when three letters picked without replacement from {j: 2, r: 2}.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -51 - -149. Let t = 102 - x. Let r(v) = -60*v + 113*v + v**3 - 3*v**2 + 0 + t - 54*v. Give r(3).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = c**2 + 6*c + 3. Let g(o) = -2*o + 52 + 47 + 50 - 150 + 3*o. Give 3*g(p) + j(p).\nAnswer: p**2 + 9*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 109 a factor of 23297333?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-17100)\/(-4788))\/(1\/7).\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 289776584?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y = -32 - 70. Calculate the remainder when y is divided by 21.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22*j + 18*j + 20 = 0, -4*j - 1171561 = -3*q. Is q composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r*r**3)**(-31)*r**(-1\/2)*r**(-2\/9)\/r)**(-4) assuming r is positive.\nAnswer: r**(4526\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*d**3 - 3*d**3 + d**3 + (-d - 2*d + 4*d)*(92*d**2 - 21*d**2 + 34*d**2) + 2*d**2 - 2*d**2 + d**3 + (1 - 2*d**2 - 1)*(2 - 2*d - 2).\nAnswer: 111*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -22526, -53079, -104002, -175295, -266958?\n\"Answer: -10185*k**2 + 2*k - 12343","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 1513 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 2221 (base 4) to base 12\nAnswer: 121","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 430 minutes before 6:53 AM?\nAnswer: 11:43 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 213 divided by -948.\nAnswer: -71\/316","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*a - 4*a - a)*(57*a**2 - 55211*a**3 + 55208*a**3 + 83*a**2) + 3*a**4 - 3*a**4 + 2*a**4 in the form f*a**3 + o*a + g*a**4 + s + z*a**2 and give f.\nAnswer: -980","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(176) + 1 - sqrt(11))*3.\nAnswer: 3 + 9*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*d + 160 = -10. Suppose 7 + d = 3*w. Suppose w*q = -2*q + 1850. What are the prime factors of q?\nAnswer: 5, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + sqrt(300)*-2)**2.\nAnswer: 40*sqrt(3) + 1201","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -51*y - 203*y + 252*y.\nAnswer: -2*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 56 is divided by ((-10)\/(-8)*(-44)\/(-11))\/1.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -46 = -4*t + 50. Let a = t + 55. Is a a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from nmfynjhj. Give prob of picking 1 n, 1 m, and 1 h.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Work out -20.834964 * 0.5.\nAnswer: -10.417482","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = 13*w**2. Let q(t) be the first derivative of 7*t**6\/360 + 73*t**3\/3 - 53. Let u(x) be the third derivative of q(x). Calculate p(u(v)).\nAnswer: 637*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -436.20901 + 436.52. Round z to 3 dps.\nAnswer: 0.311","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*h + 2*l = -161, -57252*l = -h - 57247*l - 16 for h.\nAnswer: -31","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 68345 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = 7*t**3 - 8*t**2 + 6*t + 4. Let u be z(1). Solve 0 = -m - g, 4 = -2*m - 10*g + u*g for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 11518?\nAnswer: 2, 13, 443","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*s = 10*s - 4. Let o(h) = -8*h**3 + 2*h + 1. Let u be o(-1). Put u, 2, s in increasing order.\nAnswer: s, 2, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d + 25 = 4*d. Sort 1, d, 4, 2 in decreasing order.\nAnswer: d, 4, 2, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 69284209 is divided by 455?\nAnswer: 449","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -296b8d - 28?\nAnswer: -296bb5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-24)\/16 - (-11)\/(-2). List the prime factors of -1 - (-3 - m) - -192.\nAnswer: 11, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 14236369?\nAnswer: 7, 347, 5861","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 22644 divided by -1332?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 49011 is divided by 8025?\nAnswer: 861","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = -7*v + 5. Let k(l) = -4*l + 3. Let j(f) = -2*g(f) + 5*k(f). What is the remainder when j(-9) is divided by 15?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r + 2*d + 65 = 0, 2*r - 6*r + 75 = -5*d. Let s be (-5)\/2*(-4)\/r. What is y in 0*y - 2\/5 + s*y**2 = 0?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v - 2 = -3*v, 4*v - 34 = 2*k. Let i = -5 - k. Calculate the smallest common multiple of 108\/5 - 4\/(-10) and i.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = -y**3 + 5*y**2 + 2*y - 1. Suppose 0 = -5*c + 25, -2*a - a - 5*c = -37. Let m be i(a). Let p = 35 - m. What are the prime factors of p?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 228269 take away -16958388?\nAnswer: 17186657","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 6\/25 in -5\/3, -1\/64, -0.1?\nAnswer: -1\/64","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -135509616 divided by 513294?\nAnswer: -264","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 4\/3, -10\/21, -9?\nAnswer: -9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1472 and 1012?\nAnswer: 92","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: (-1 - 1) + 15\/21 + 1\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 4}. Give prob of sequence nn.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*j - 3*j - 24. Suppose -20 = -3*l - 2*g, -3*g + j + 0 = 0. What is the units digit of l?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = -x**2 + 21*x + 1153. Let o be u(-25). Let a(q) be the first derivative of -12 + 0*q + q**2 + 7\/3*q**o. What is the second derivative of a(k) wrt k?\nAnswer: 14","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 57201765?\nAnswer: 3, 5, 41, 281, 331","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 537*y = 3010*y + 250716 + 23787 for y.\nAnswer: -111","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 36485 to the power of 1\/3, to the nearest integer?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 6015083 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 44\/69 + -7\/23. What is the third biggest value in 3\/4, v, -2\/97?\nAnswer: -2\/97","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 122571.\nAnswer: 3, 13619","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -9589.55377+-5509\nAnswer: -15098.55377","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 247*d - 57*d - 2660 = 0 for d.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -15 - -33. Let a = 24 - j. Suppose 2*x - 5 = 5. Calculate the remainder when a is divided by x.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = -k**2 + 2*k - 10. Calculate i(3).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 112797 and 4077?\nAnswer: 1359","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 30457605289 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -4, -40, -2 in increasing order.\nAnswer: -40, -5, -4, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*q - 2 = 7*q for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = 2*g**3 + 5*g**2 - 403*g + 5. Let s be z(13). Solve -s*b = 4*w + 11, 0 = 2*b + 3*w + 3 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -2 + -36192b8?\nAnswer: -36192ba","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find z such that 2*z**4\/5 - 22*z**3\/5 - 6*z**2\/5 + 14*z - 44\/5 = 0.\nAnswer: -2, 1, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -10 + 5b51b57?\nAnswer: 5b51b47","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -2.7106784 + 2.51062. Let o = -0.2 - b. Round o to 6 dps.\nAnswer: 0.000058","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -1 + 0 + 2 + (14 - 15). Let n(i) = i**3 - 3*i**2 + 2. Let h be n(u). Solve 4*x + 2*w = 2, h*w + 2*w = -4*x - 8 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*m = 128 - 638. Suppose -m = z - 47. Let a(c) be the first derivative of c**4\/4 + 5*c**3\/3 + 3*c**2 + c + 1. Give a(z).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3\/2? (a) -1.13435 (b) 32 (c) 1\/2 (d) -4 (e) -0.08 (f) 2\/19\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = 25*k + 1. Let x be j(1). Suppose 0 = 2*p - 18 - x. What is the remainder when p is divided by ((-2)\/4)\/((-1)\/12)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 1, 14, 37, 70, 113?\n\"Answer: 5*m**2 - 2*m - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + (sqrt(70)\/(sqrt(7)*3*-6))\/((sqrt(5) + -2*sqrt(320))*2).\nAnswer: -3 + sqrt(2)\/540","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/4? (a) 3 (b) -0.4 (c) 14\/19\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*l**2 + 968*l**3 - 965*l**3 + 5*l**2.\nAnswer: 3*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16548 = -2283*o + 93036 for o.\nAnswer: 48","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -6885162 divided by -6\nAnswer: 1147527","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y\/((y*y**(-3\/13))\/y)*y*y*y*y)\/y)**29*y**19\/(y\/((y*y**(-4\/23)\/y)\/y)) assuming y is positive.\nAnswer: y**(41716\/299)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3335?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x - 3*r = -3*x - 14, -4*r = x - 11. Let n(o) = -3*o - 1. Let s(h) = -85*h - 3. Let f(a) = x*s(a) + 6*n(a). Let q(d) = -2*d. Determine f(q(m)).\nAnswer: -134*m - 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -2\/13, -0.3, 4, 26?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 1292 to the power of 1\/2, to the nearest integer?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -1\/20 (b) 1\/3 (c) -0.2 (d) -2\/3 (e) 9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (15\/(-9))\/((1205\/1928)\/((-42)\/(-8))).\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 47*b = 50*b + 5*q - 147527, 4*b - 5*q = 196656. Is b a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2*-12683123.\nAnswer: 25366246","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g - 10 = -2*t, t - 5 = -0*t + 3*g. Suppose t*q = q - 3*n + 289, -4*q + 4*n + 268 = 0. What is the greatest common divisor of q and 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + (sqrt(48) + 0 + 3 - (2 + sqrt(192)) - sqrt(576)\/(-6*sqrt(108))).\nAnswer: -34*sqrt(3)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Divide 826815 by 74.\nAnswer: 826815\/74","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = -z**2 + 15*z + 33. What is s(17)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = 5*q - 120. Let a be z(24). Solve a = 3*x + 4*o + 3 - 22, 5*x + 7 = 3*o for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -14, -4\/5, 3\/4, -4 in increasing order.\nAnswer: -14, -4, -1, -4\/5, 3\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort 23, -4, -3, -5 in descending order.\nAnswer: 23, -3, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in thirteen fifths of a microgram?\nAnswer: 2600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o = -4 - 2. Suppose 2*n - o*n = 6. What are the prime factors of 8\/(-12) + (-76)\/n?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 b and 1 v when two letters picked without replacement from {b: 1, v: 5, r: 1, f: 1, e: 1}.\nAnswer: 5\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 111 and 504?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 53 + -47. Suppose -3*n - h + y*h + 29 = 0, -4*h - 10 = 2*n. Suppose 7*p - 3*p - 16 = 0. Sort n, p, -5 in ascending order.\nAnswer: -5, n, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = 2790*x + 108562. Give k(-39).\nAnswer: -248","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 = -2*g - 1. Let f(q) = q - q**2 - g*q**2 - 4 - 4*q. Let x(r) = 523 - 1626 - 3*r**2 + 2*r**2 + 590 + 513 - r. Calculate f(y) - 3*x(y).\nAnswer: -y**2 - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 222 is divided by -5*-5*4\/20.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 2 + 0)*((-2 + 5 - 1)*(i - 4*i + i) - 2*i - i + 4*i + 3*i - 4*i - 3*i).\nAnswer: 21*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 b, 1 m, and 1 d when three letters picked without replacement from pdmbpbdbtdbbbtpp.\nAnswer: 9\/280","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + (((1 + sqrt(475))*2 - (sqrt(475) + -2 + -1*sqrt(475))) + -4)**2 + 0.\nAnswer: 1898","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 434 and 56?\nAnswer: 1736","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = -b + 22. Let o be y(12). Suppose 5*q - 1 + 7 = -2*v, -2*q = -3*v + o. What is the units digit of v?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000483235 to 5 decimal places.\nAnswer: 0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = 1. Let o(j) = j. Let u(i) = l(i) + o(i). Let t(r) = 5*r**3 - 2*r - 3*r**3 + 3 + 5*r + 0*r. Give t(x) - 3*u(x).\nAnswer: 2*x**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (i - i - 2*i)*(1 - 3 + 1)*(-1 + 1 - 1).\nAnswer: -2*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 64 - 39. Let m be 101\/5 - 5\/j. Let g = -16 + 21. Solve m - 5 = -g*z for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v*v**(5\/7))\/(v\/((v\/v**(-12))\/v)*v)*(v*v\/(v**(6\/11)\/v)*v)\/v**(2\/41) assuming v is positive.\nAnswer: v**(47734\/3157)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 4120320439 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -25.2 - -33218666281.\nAnswer: 33218666255.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -101002221001 (base 3) in base 6?\nAnswer: -4133044","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 320971648 a multiple of 1275?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 0 - 14\/8 - 6237\/(-924). Let f(j) = -4*j - 1. Let k(d) be the first derivative of 2*d**2 + d + 1. What is p*f(o) + 4*k(o)?\nAnswer: -4*o - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of ((-2)\/30)\/((80\/855)\/8) and 105\/52?\nAnswer: 260","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 31.71918ms in nanoseconds?\nAnswer: 31719180","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from llauaulywlwllulllly. Give prob of picking 3 l and 1 y.\nAnswer: 20\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert 846.7794 hours to seconds.\nAnswer: 3048405.84","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*r + 15940*x - 8 = 15938*x, 0 = 3*r + r + x - 4 for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*m - 2*x - 5708, 0 = -m + 2*x - 71 + 2922. Is m a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:11 PM and 3:26 AM?\nAnswer: 255","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/50 of a tonne in grams?\nAnswer: 60000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 14\/249 and -31\/30.\nAnswer: 2490","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h + 4 = 5*g, -6*h + 11*h + 11 = -2*g. Find the second derivative of g*w**3 + 312*w**2 - 297*w**2 - w - 18 + 2*w**3 wrt w.\nAnswer: 24*w + 30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 5\/21, -130, 7 in descending order.\nAnswer: 7, 5\/21, -130","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 23.045 - 0.045. Let v = b + -22.97. Let q(m) = -m + 2. Let p be q(3). What is the second smallest value in 3, p, v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 52132898 is divided by 4344407?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -132 - -125. Let x(a) = 2*a**3 - 3*a**2 + 5*a. Let f(v) = 4*v**3 - 7*v**2 + 11*v. Let m = -1 - -4. Let h = 0 + m. Calculate c*x(b) + h*f(b).\nAnswer: -2*b**3 - 2*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4473547488*v**3 + 64646640*v**2 - 311400*v + 500 = 0 for v.\nAnswer: 5\/1038","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-10)\/(-45) + 249\/(-27). Let v be (h\/(-4))\/(3\/(-8)). Let a(y) = -y**2 - 13*y. Is 15 a factor of a(v)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-1)\/(-6))\/(3\/((-4995)\/6)*990\/(-792))\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -14600093, -58400381, -131400863, -233601539?\n\"Answer: -14600097*o**2 + 3*o + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 1, r: 1, k: 2}. Give prob of picking 1 r and 1 k.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 193?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-1064)\/(-9310))\/(2\/5)?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.95 and 1831.\nAnswer: 1739.45","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4\/38 + (-8)\/304*-43772.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 19\/132 and 121\/546.\nAnswer: 12012","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 72 divided by 80180.\nAnswer: 18\/20045","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -717*w + 798*w = 324 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 107041.1 millennia to months.\nAnswer: 1284493200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = 51*p**3 + p**2 - 2*p - 2. Let o be t(-1). List the prime factors of (-10)\/o - 258\/(-10).\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xxx when three letters picked without replacement from xvqvxqkqwwvvqcx.\nAnswer: 1\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 11\/4 - -1 - (-4)\/16. Solve 0 = -h*c + c for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.1 and -114277.\nAnswer: -11427.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8\/44 - (-2940)\/44.\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24*g + 5 = -4*x - 25*g, 0 = g + 1. Is -971 != x?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 6130345 and 12987?\nAnswer: 165519315","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 45744 times 1.1\nAnswer: 50318.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 125095*j**3 - 38796*j**2 - 2*j?\nAnswer: 750570","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-2)\/8)\/(117\/36)?\nAnswer: -1\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*a**3 - 60*a + 2*a**2 - 6*a**3 - 3*a**2 + 62*a as f*a**2 + r*a + l + b*a**3 and give b.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = 5*b**3 + 7*b + 5. Let n be c(4). Which is smaller: 354 or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 divided by -72743.\nAnswer: 5\/72743","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -15\/28474 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 169126?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 345*j = 700*j - 5325 for j.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*q + 9869 = -s + 9845, -97*q = 2*s + 483 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from bkhfhchkhfhfh. Give prob of picking 2 h and 1 c.\nAnswer: 15\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = m**3 + 3*m**2 - m + 1. Let v be h(-3). Suppose -v - 8 = -3*a. Suppose p + a*r = 2 - 7, 0 = -p - r - 2. Which is smaller: p or -2\/13?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 217 minutes after 11:49 PM?\nAnswer: 3:26 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express -5*v**3 - 5*v**3 + 2*v**2 + v + 4*v**3 as d + i*v**3 + c*v**2 + o*v and give i.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -7905, -7821, -7677, -7473, -7209?\nAnswer: -6885","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -70 = -13*o + 47. Let y(c) = -34 + o*c + c + 3*c + 33. Give y(1).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 q when three letters picked without replacement from qqqsqqqqqqqq?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 13522 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v**(-1\/27)*v*v)\/v)**(1\/7)*(v\/((v\/(v*v**12)*v)\/v)*v)\/v**(-36) assuming v is positive.\nAnswer: v**(9476\/189)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 46 + 57*f**4 + 14*f**4 - 2*f**4 + 12*f**4 wrt f.\nAnswer: 324*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -4*r**2*z**2 + 8355677*r**2*z + 14557053*z**2 + 6 wrt r?\nAnswer: -8*r*z**2 + 16711354*r*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6 + 1 + (-24 - (-12 - -6 - 2)).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 24794377 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -223 + -530?\nAnswer: -1153","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 254 is divided by 242.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -247483132 + -0.4546691?\nAnswer: -247483132.4546691","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -4702 - -8974. Suppose 0 = 11*z - 4275 - j. What is the tens digit of z?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11742.84715 rounded to the nearest 100?\nAnswer: 11700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m = r - 6, 2 = -m - m. Find the second derivative of -18*q + 36*q - 18*q**4 + 5*q**r wrt q.\nAnswer: -156*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11 minutes before 11:20 PM?\nAnswer: 11:09 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 746711 a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 72587 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 541783 + 782?\nAnswer: 542565","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 958009 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -6601.05 - -6458. Let s = -139 - o. Let u = s + -0.05. Which is the second biggest value? (a) 2 (b) u (c) -1\/6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = -8*a**3 + 230*a**2 - 5983*a + 175186. Determine u(29).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: (-27)\/(-15)*-5*1\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 79465.25mg in kilograms?\nAnswer: 0.07946525","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 16 - -6?\nAnswer: 1c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -24, -27, -64, -165, -360, -679, -1152, -1809?\n\"Answer: -5*u**3 + 13*u**2 - 7*u - 25","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -27*g - 3*g**3 + 2 + 6*g + 21*g to f*g**2 + o*g**3 + c*g + m and give o.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*g**3 - 9915*g + 2487*g + 2481*g + 22*g**3 + 2478*g + 2469*g.\nAnswer: 28*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 = 5*g + 3. Let d(c) = -4*c - 3. List the prime factors of d(g).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -332 - -351. Solve l*q - 21*q = -10 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 z and 1 v when two letters picked without replacement from qkzzzkzkfvvkvkkv.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (2\/4)\/((-2 + 6)\/(-8)). Does 18 divide 9\/(z - 2) + (468 - -3)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = -4*p - 9*p + 20*p - 6*p. Let b(c) = -6*c. Determine x(b(j)).\nAnswer: -6*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Determine w, given that 2*w**3\/5 - 358*w**2 + 374974*w\/5 + 376766\/5 = 0.\nAnswer: -1, 337, 559","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -4818, -9632, -14444, -19254?\n\"Answer: q**2 - 4817*q - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 126 or -3?\nAnswer: 126","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) be the third derivative of -q**5\/60 - q**4\/24 + q**3\/6 + q**2. Let y be 15 + -2 + 6\/3. Suppose -5*b - y = -0*b. Give a(b).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1593*x**2 - 6*x + 6*x + 63 - 1554*x**2 to u + a*x**2 + b*x and give u.\nAnswer: 63","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-6)\/(-8))\/(611\/12220).\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = -2*f**2 - 6*f - 2. Let z be c(-3). Let p(y) = -y**3 - y**2 - 1. Let r be p(z). Solve 0*u - r*u = -9 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2057\/(-561)*51\/(-119)\nAnswer: 11\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 39 + -27. Suppose 13 = -2*x - 21. Let l = x + z. Is l bigger than -5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = -8*t**2 + 9 + 12 - 17*t + t**3 + 25*t**2 + 0*t. Let g be h(-18). Solve -5*p + 2*p = -g for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 89\/16 and -31\/58.\nAnswer: 464","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -26487 = 1941*r - 5136 for r.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*o - 3*i = -14, -3*o + 2*i - 8*i - 14 = -7*i for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 22, 4\/347, -42?\nAnswer: 4\/347","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 6466987 to the nearest integer?\nAnswer: 2543","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = t**3 - 3*t**2 + 2*t + 1. Let m be a(2). Let r = 2881.6 + -2882. Sort 4, 0, r, m in descending order.\nAnswer: 4, m, 0, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2737632?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -55 - -276\/5. What is the third smallest value in k, -0.4, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 100111101101 - -111110110111?\nAnswer: 1100110100100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -220 (base 3) in base 16?\nAnswer: -18","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/3? (a) -2 (b) 2 (c) -25269 (d) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Determine i, given that -2*i**3\/9 - 16*i**2\/3 - 46*i\/9 = 0.\nAnswer: -23, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 6137 - 5982. Solve -44 = l*s - 177*s for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 22, 84, 196, 364, 594, 892, 1264, 1716?\n\"Answer: k**3 + 19*k**2 - 2*k + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q = 20 - 10. Let g be (-3 + -1 - -1)\/(q + -6). Let o be 1 - (0 + 1*-7). Solve 2*x = -3*a + o, -12 = -3*x + a + g*a for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 803161?\nAnswer: 131, 6131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -w + 5742 - 5609 = 6*o, -w - 4*o + 89 = 0 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) be the first derivative of -4*o - 2\/3*o**3 - 3*o**2 - 6. Solve c(t) = 0.\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30424 = -s - 2*o - 6848, o = 4*s - 94322. Calculate the greatest common factor of 45 and s.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1507 is divided by 518.\nAnswer: 471","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1000 + 1009. Calculate the least common multiple of r and 108.\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -39*h + 29*h + 5640 = 0. What are the prime factors of h?\nAnswer: 2, 3, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 16109.58ms?\nAnswer: 0.268493","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = 3*w. Let s(x) = 1373*x**2 + 6*x + 33. Let a(r) = -15104*r**2 - 64*r - 352. Let m(p) = 3*a(p) + 32*s(p). What is m(d(f))?\nAnswer: -12384*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 4 - 102112?\nAnswer: -102103","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 38, 131, 262, 413, 566, 703, 806?\nAnswer: 857","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 52 - 64 - r - 102 to the form l + v*r and give l.\nAnswer: -114","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -2070607 divided by 26891\nAnswer: -77","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 37 + -34. Suppose -2*p = -t - 7. Suppose -h - p*z = -4*h + 90, 2*h + 2*z - 60 = 0. What is the remainder when h is divided by 4?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 91474 is divided by 99?\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (4 + -4)\/(2\/1). Solve -5*o = -f - 14, 0 = -2*f + 2 - y for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2*((-3)\/30)\/((-63)\/(-945))?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {i: 3, u: 4, x: 9}. What is prob of sequence xxuu?\nAnswer: 9\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express -1344*r - 5458 + 5458 + 4 + r - 4 + (3 + 1 - 6)*(0*r - r - r) in the form k + q*r and give q.\nAnswer: -1339","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 4, -12, -40, -86, -156?\nAnswer: -256","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 6*d**4 + 3*d**3 - 6325 + 6325 - 73*d**2 wrt d?\nAnswer: 144*d + 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 9435 - 5266. Is h composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -107\/1116038 and -25\/210163.\nAnswer: 32365102","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -3.7 - 1.3. Let t = h + 4.7. Let f(n) = n**3 - 6*n**2 - 4. Let k be f(6). Which is the third biggest value? (a) 3 (b) t (c) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 105362337 to the power of 1\/3, to the nearest integer?\nAnswer: 472","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 169, -0.024, -12, -6, 25?\nAnswer: 169","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = -7*w**3 - 8*w**2 + 9*w - 3. Let t(y) = -8*y**3 - 7*y**2 + 8*y - 3. Let d(f) = 5*r(f) - 4*t(f). Is d(-11) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1733 + 1746. Let o be (54\/(-24))\/(6\/16). Let q(b) = -5*b + 2. Let i(s) = -11*s + 5. Determine o*i(u) + t*q(u).\nAnswer: u - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -10 - -165. Suppose -z = -6*s + s. What is the remainder when 90 is divided by s?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 444 minutes after 2:02 AM?\nAnswer: 9:26 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 2151, 4064, 5977, 7890, 9803?\n\"Answer: 1913*l + 238","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 25, 12, -15, -62, -135?\nAnswer: -240","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = -w**3 - 3*w**2 + 3*w + 3. Let v be y(-4). Let x be v*-1 + (-2 - -3). What are the prime factors of 4\/(3\/x + 1)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = -l**3 + 262*l**2 + 24871*l - 2354. Give y(336).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of (2\/(-4) - 10)*(-1636)\/3?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 30963793, 61927589, 92891385, 123855181, 154818977?\n\"Answer: 30963796*d - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 + -1 + (1 - (-3 - -3)).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {s: 3, c: 1}. Give prob of sequence css.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 0 + 0\/(-3) + 3. Let f = -3981\/4660 + 1\/233. Find the common denominator of f and 47\/(-6) - (-2)\/m.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = -2*b**3 + 19*b**2 - 7*b - 6. Determine i(9).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = m**3 + 29*m**2 + 36*m - 590. Calculate b(-27).\nAnswer: -104","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m - u = 53, 4*m = -5*u + 62 + 9. Let y be m\/4 + 2\/(-4). Let o = 1783 + -1773. Solve o = -f + y*f for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1.6, -2, -95923, 6 in descending order.\nAnswer: 6, 1.6, -2, -95923","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 911000459 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 25222.395 minutes in hours?\nAnswer: 420.37325","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 161710724?\nAnswer: 2, 7, 41, 140863","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = b**2 - 16*b + 5. Let u be i(16). Suppose f - u*m = 6*f - 145, 4*m = 4*f - 92. Suppose -5*x + 5 + 9 = -3*p, 4*x = -5*p + f. Solve p*z = z + 1 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -23.292 + 11.283. What is r rounded to zero decimal places?\nAnswer: -12","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l + 136312 = 3*m + 10122, 3*l - 75714 = -5*m. Is l composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1 - 1. Suppose 4*b = 1 + 3. Is 3 a factor of 1\/((t - b)\/(-6))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence haau when four letters picked without replacement from khakakkkuduhhhah.\nAnswer: 1\/728","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -1, 2\/11, -31, 31, -0.254?\nAnswer: -0.254","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a + 334 = 2*r, 4*r = 2*a + 97 + 67. Let y = a + 124. What are the prime factors of y?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -34 + 34 + 3*v - 2*v.\nAnswer: v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 710 and 8662.\nAnswer: 142","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2921 is divided by 162?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-11 - -10)\/((-2)\/346). Let a = r - 85. What is the greatest common factor of 11 and a?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -11024102 (base 6) in base 10?\nAnswer: -330086","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = -p - 1. Let s(n) = n**2 + 0*n**3 - 2*n**2 + 4*n + 4 + 3*n**2 + n**3. Let l(c) = 5*r(c) + s(c). Calculate l(2).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2001 to the power of 1\/6, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 134352, 134366, 134370, 134364, 134348?\n\"Answer: -5*o**2 + 29*o + 134328","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -42*x**2 + 1 + 62*x**2 + 1.\nAnswer: 20*x**2 + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round -18001.7195 to the nearest one hundred.\nAnswer: -18000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 3765\/(-3765)*((-34)\/(-10))\/(-1)\nAnswer: 17\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 f when two letters picked without replacement from lffxfululc?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -10040 + 10023?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 79041*-0.072\nAnswer: -5690.952","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 4 + (-1 + 43 - 1). Suppose 10*l + u = 85. Which is the closest to 1\/3? (a) 0.2 (b) l (c) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -876725, -1753587, -2630449?\n\"Answer: -876862*q + 137","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (2 - 2)*15\/30. Let f be (-6)\/21 - (-904)\/28. Let t = f + -30. Solve b = t*s - 4*s for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.2*-0.241836.\nAnswer: 0.0483672","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 202013948 a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 4, 2\/17, -2\/19, -5?\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = r**3 + 6*r**2 + 5*r - 1. Let n be (-7)\/2*(-16)\/28. Suppose z + 5 = -2. Let o = z + n. What is y(o)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) be the second derivative of g**3\/6 + 5*g. Let q(p) = p**3 + 106*p**2 + 105*p - 3. Let a be q(-105). Calculate s(a).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.2489256mg to kilograms.\nAnswer: 0.0000002489256","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1 - 46) + 17 + (-41 - 2 - (-458 + 440))?\nAnswer: -55","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*x - 4 = 5*v, -18*x + 4*v + 407 = 389 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = -t**2 - 2*t - 1. Suppose -3 = q - 0. Let p be j(q). Suppose -2 = r - 3. Which is the biggest value? (a) -5 (b) p (c) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -88\/21 and 26\/26631.\nAnswer: 186417","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 522*i + 206*i - 62*i - 3996 = 0 for i.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 4355 - 2276. What is the remainder when h is divided by 6?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.7 - 0.2. Let w = 37.1 + -37.5. Let q = -1.14 + 0.14. What is the biggest value in q, t, w?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = -49*v**2 - 84*v - 2. Let l(r) = -3*r**2. What is y(l(s))?\nAnswer: -441*s**4 + 252*s**2 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 16 - 16. Let u = l - -1. Sort 4, u, -2 in decreasing order.\nAnswer: 4, u, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = c**2. Let a(v) be the third derivative of 1379*v**5\/60 + 4*v**2 + 4*v + 1. What is a(t(f))?\nAnswer: 1379*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*f**2\/15 + 16*f\/3 - 82\/15 = 0 for f.\nAnswer: -41, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 31 + -63. Let j(c) = -c**2 - 60*c - 51. Is 65 a factor of j(b)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*r + 356 - 335 = 0 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7785 is divided by 12.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from bknbybykygnkbbkk. Give prob of picking 1 y and 1 g.\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (66\/(-2))\/(108\/(-360)). Solve 8 = h*w - 106*w for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 210928706.\nAnswer: 2, 461, 228773","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -7410 - -15947. Is j a multiple of 69?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 59 = 20*y - 81. Solve 0 = 2*o - y*o for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(-1\/4))**(4\/7)\/(w**1*w*(w\/w**(-1\/6))\/w)*((w**(2\/13)*w)\/(w*w**(-3\/2)))\/((w*w**(-8))\/w**8) assuming w is positive.\nAnswer: w**(3916\/273)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) be the third derivative of 17*r**5\/60 - 5*r**3\/2 - 31*r**2. Differentiate t(v) wrt v.\nAnswer: 34*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 21 and 10645733?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is (3 + -8 + 2)\/((-5808)\/(-253) + -23)?\nAnswer: 69","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express -307*i + 1 + 33*i**4 + 667*i - 4*i**2 - i**3 - 361*i as u*i + n*i**3 + h*i**2 + p*i**4 + x and give h.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 2071894982 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 20819704?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6457 is divided by 17?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v - 29 = -1. Let g = v - -7. Suppose 2*u - 4*w = -g*u + 28, -w - 25 = -5*u. Solve -4*c = u*h, -3*c + h + 6 = -6*c for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find b such that 4*b**4 - 5254*b**3\/3 + 103186*b**2\/3 - 72508*b - 45072 = 0.\nAnswer: -1\/2, 3, 18, 1252\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*s**2 - 5 + 5)*(-155 - 40 + 2217)*(-5*s + 2*s + 2*s) + (-s - s + s)*(2*s**2 - s + s).\nAnswer: 4042*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = -2*i + 28. Let o be p(15). Let l(c) = 77*c**2 - c - 3. Is l(o) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 658.8638km to micrometers.\nAnswer: 658863800000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -17.2 + 17. Suppose 4*z + 12 = 5*y, -5*y + 0*y = z - 22. Suppose 6 = 3*i - 3*x, -4*x = i - y + 2. Which is the closest to 0.1? (a) i (b) 1 (c) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -4 - -34. What is the tens digit of p?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1010347?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 17989 is divided by 8038?\nAnswer: 1913","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (3\/2)\/((-21)\/(-1624)) is divided by 24.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -49*j = 3*j - 52 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is b + -1c96?\nAnswer: -1c88","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000263 rounded to six dps?\nAnswer: -0.000026","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 23898124.\nAnswer: 2, 17, 19, 53, 349","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = 34*x. Let j(p) = 2450*p**2 - 950*p. Let m(a) = -31*a**2 + 12*a. Let t(s) = -6*j(s) - 475*m(s). Determine v(t(u)).\nAnswer: 850*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -8.75 + 8.5. Let o = q + -0.14. Is o at least -1\/2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 22145 - 10315. Let f = o - 6329. Is f a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 191\/15 - 3\/(-5) and -61\/10.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1*(3*(sqrt(288) + -1) - -1*(-1 + sqrt(288)))*-2 + -2)*-4)**2.\nAnswer: -18432*sqrt(2) + 295488","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 180 - 192.9. Let z = -13 - x. What is the second biggest value in 0.5, 4, z?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 2310 + 21213?\nAnswer: 30123","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 89*q + 8933 - 12493 for q.\nAnswer: 40","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -196*(-9)\/144 - (-5)\/(-4). Suppose -5*h + 14 = -1. Sort -4, h, l in increasing order.\nAnswer: -4, h, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 y and 1 f when four letters picked without replacement from yffyyffyffyyfy.\nAnswer: 35\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express -1154*z + 3 + 138*z**3 - 282*z**3 + 145*z**3 in the form i*z + q*z**3 + c + o*z**2 and give i.\nAnswer: -1154","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1147?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -43 + 57 + (-63)\/9?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 0.22 (b) -2\/55 (c) -2 (d) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Divide -324543180 by -247.\nAnswer: 1313940","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1584) + 2 + sqrt(1584) + -2)**2.\nAnswer: 6336","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = -u**2 + 148*u - 1991. Let d be f(15). Put -1, 0.1, -5, d, 9 in ascending order.\nAnswer: -5, -1, 0.1, d, 9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.2 in -672, -7\/4, -3\/4, 5?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 35680014743 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -2\/63 (b) -3 (c) 1316 (d) -41\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 556 minutes after 5:27 PM?\nAnswer: 2:43 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -16b532 (base 13) to base 8\nAnswer: -2124640","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from kkh. Give prob of picking 2 k.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 4080*a**3*k**2*u**3 - 1499*a**3*k**2*u - 5*a**2*u**3 + 29*a*k**2*u - 2*a*k*u**2 + k**2*u**3 + 2*k*u**3 wrt a.\nAnswer: 24480*k**2*u**3 - 8994*k**2*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(171) - (-1*(sqrt(171) - sqrt(171)*1) + sqrt(171)))\/((sqrt(108)\/(sqrt(48)\/sqrt(4)) - sqrt(9)) + sqrt(9)))**2.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (5 + -3 - 270)*-3. Let a = u - 796. Let k(m) = -11*m**2 + 3. Let c(r) = 0*r**2 - 1 + 7*r**2 - 3*r**2. Give a*c(i) + 3*k(i).\nAnswer: -i**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 33, 32, 31, 30?\nAnswer: 29","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = 6*b**2 + b + 1. Let m be p(-1). What is the highest common divisor of m and 42?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -7964, -7961, -7958, -7955, -7952?\n\"Answer: 3*a - 7967","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dp when two letters picked without replacement from {e: 1, p: 2, d: 1}?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000001863 to seven decimal places.\nAnswer: 0.0000019","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1187905 is divided by 1773.\nAnswer: 1768","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: (6 - 35\/14) + -3\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -47fa4 + -153?\nAnswer: -480f7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = -8*s**2 - 3 - 3*s + 9*s**2 + 5. Determine p(2).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -42*v = -51*v + 1305. Is v composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = -65*d - 129. Let f(p) = 13*p + 26. Let w(o) = -11*f(o) - 2*u(o). Suppose -173*l = -179*l - 60. What is the tens digit of w(l)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 26011244?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*a**2 + 3*a**2 - 16*a**2)*((4 - 1 - 2)*(5*a**2 - 4*a**2 - 2*a**2) + 3*a**2 - 4 + 4) to z + s*a**4 + t*a + f*a**3 + y*a**2 and give s.\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*v - 11*v = -4170. List the prime factors of v.\nAnswer: 2, 5, 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7*j - 16*j + 6*j)*(1 - 2 - 1) + (-2 + 7 - 3)*(0*j + 3*j + j).\nAnswer: 14*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(13\/3))**45 assuming c is positive.\nAnswer: c**195","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 7\/(210\/180) - 0 - (27 + 2 - -1)\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round 11999.69 to the nearest 10.\nAnswer: 12000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (13125\/(-525))\/((-2)\/(-2)*-5).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6360 is divided by 907?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 1642 to the power of 1\/4, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 101011100010001100 (base 2) to base 3\nAnswer: 100001121022","meta":{"dup_signals":{},"source":"numbers__base_conversion_test"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*t + 7015 - 914 - 210 + 4358 to the form p*t + x and give p.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -5 + 1 + 4208\/8. What is the greatest common factor of p and 464?\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = 14 - 1216*z**2 - 20 - 4*z + 1222*z**2 + 2*z**3. Give w(-5).\nAnswer: -86","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = -r - 10. Suppose 0*m - 12 = m. Let a be x(m). Let o(l) = l**3 - 4*l**2 + l + 1. Let p be o(4). Solve s = a*n + 5 - 18, -5*s - 2*n - p = 0 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12.472518 greater than or equal to 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -135*(-24)\/108*(-2)\/(-4).\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -4 + 1 - 1 - 1. Let p be (f\/(-4))\/(4\/16). Solve -4*d - p = -1 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 224 divide 318278912?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -757, -5594, -18733, -44326, -86525, -149482, -237349, -354278?\n\"Answer: -692*h**3 + h**2 + 4*h - 70","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = -3*b**2 - 3*b. Let s(x) = -2*x**2. Determine s(r(c)).\nAnswer: -18*c**4 - 36*c**3 - 18*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 353048?\nAnswer: 2, 44131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of -4 - (-5 - -4) - -159?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -8, -32, -94, -212, -404, -688, -1082?\nAnswer: -1604","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-20)\/(-6))\/((-185)\/(-111)).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 b and 1 w when three letters picked without replacement from kbawbaaakkakawkkaa.\nAnswer: 1\/408","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 851 or 0.866?\nAnswer: 851","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 433 is divided by 122?\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -2 + 14. Let s = -22 + 38. Suppose -62 + s = -2*w. What is the remainder when w is divided by m?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 824 + -832.02. Let c = q + 8. Let b = 0.38 - c. What is the biggest value in b, 5, -2\/7?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -103 - -204. List the prime factors of p.\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -49, -143, -247, -367, -509, -679?\nAnswer: -883","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000000720351977 to six dps.\nAnswer: -0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -8005482*i**3 - 7*i - 2462976.\nAnswer: -48032892*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -22 + 0 - ((-21 - -7) + 12)?\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 6910 to the nearest integer?\nAnswer: 83","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 3746243 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: Simplify (2 + (2*(-1 + sqrt(405) + sqrt(405))**2 - (sqrt(405) - (sqrt(405) + -1)*2 - sqrt(405))**2) + 2)*5.\nAnswer: 8110","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6, 5, -1, -79 in increasing order.\nAnswer: -79, -6, -1, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m = 6*m - 515. List the prime factors of m.\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (40 - 6 + 5)*(-2 + 0 + 1)*(11*m + 0*m - 3*m).\nAnswer: -312*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) be the second derivative of d**6\/135 - 28*d**5\/45 + 25*d**4\/3 - 48*d**3 + 141*d**2 - 148*d + 4. Find w, given that z(w) = 0.\nAnswer: 3, 47","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4435040 (base 8) in base 6?\nAnswer: -41334120","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 47295022?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-4)\/5 + (-550)\/(-375). Let o = 30 - 57\/2. Let k = 0.8 - 1. Which is the nearest to w? (a) k (b) o (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 12, 22, 16, -12, -68, -158, -288?\n\"Answer: -u**3 - 2*u**2 + 23*u - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 36970300 rounded to the nearest one hundred thousand?\nAnswer: 37000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = 30*f + 1582. Let y(s) = 40*s + 2135. Let p(c) = 11*n(c) - 8*y(c). Give p(-31).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -34786 - -382686\/11. Let a = -594859\/1314 - -4070\/9. Calculate the common denominator of a and i.\nAnswer: 1606","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = 239*b**4 - 4*b**3 + 12*b**2 - 54*b + 2. Let t(n) = 2*n**4 + n**3 + n - 1. Let y(d) = -o(d) - 2*t(d). What is the third derivative of y(c) wrt c?\nAnswer: -5832*c + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -50*j**2 - 493*j + 61575 with respect to j.\nAnswer: -100*j - 493","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:34 AM and 2:16 PM?\nAnswer: 402","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = 4*t**2 - 9*t - 6. Let w(c) = 8*c**2 - 19*c - 11. Calculate 11*q(z) - 6*w(z).\nAnswer: -4*z**2 + 15*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 2263 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -2\/11 (b) 2\/3 (c) -124 (d) 36\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:19 PM and 6:06 AM?\nAnswer: 467","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 21589156 to the power of 1\/3, to the nearest integer?\nAnswer: 278","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.11 - -0.81. What is b rounded to the nearest integer?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 445 minutes before 9:32 AM?\nAnswer: 2:07 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve b + 6 = -w, -27 = 5*w + b + 3*b for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a - 5*y + 7 = 0, -3*a + 12 = -y + 3*y. Suppose 7 = a*i - i. Suppose 4*s = -p + 37, 5*p + 22 = i. What is the units digit of s?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 1112505 - -2303?\nAnswer: 1115212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 26241825, 52483651, 78725477, 104967303, 131209129, 157450955?\n\"Answer: 26241826*u - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Product of 1423095 and 4.\nAnswer: 5692380","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 925139445, 925139443, 925139441?\nAnswer: 925139439","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 298 + -296. Suppose -4*p + 4538 = i*o - 5*p, -5*o + 11345 = 3*p. Is o prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 164211 is divided by 1399.\nAnswer: 528","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + (3*sqrt(65)*2 + sqrt(65)*1*-6)\/(sqrt(605)*-1*-2 - sqrt(605)) + -4.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 606*h**3 - 1732 wrt h?\nAnswer: 1818*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n - n = -4*m + 30, -2*n = -3*m + 22. Which is smaller: m or 7?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l - 6*l = 12. Let k(c) = 3*c + c**2 + 1 + c + 3*c. Give k(l).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1652 + 1492 = 102*q + 900 for q.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 95*q - 19*q + 923*q**2 - 76*q.\nAnswer: 923*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {b: 4, a: 6}. What is prob of picking 3 a?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -2, 21.467.\nAnswer: -3, -2, 21.467","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) be the third derivative of -b**5\/30 + b**2. Let s(x) be the first derivative of -1\/2*x**2 + 0*x + 5. What is u(s(r))?\nAnswer: -2*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 452*j - 428*j = 120 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -5 - 50340?\nAnswer: -50345","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -12, -19, -20, -9, 20, 73?\nAnswer: 156","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 111 and 444666.\nAnswer: 444666","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 3\/671 and 23\/246741.\nAnswer: 15051201","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 22384811.\nAnswer: 41, 43, 12697","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 0.667834*-2.3\nAnswer: -1.5360182","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = 26*z**3 - 2*z**2 - 2*z - 2. Let j(w) = -w**3 - w - 1. Let p(q) = -2*j(q) + n(q). Find the third derivative of p(y) wrt y.\nAnswer: 168","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 28115 + -5512. Round v to the nearest 1000.\nAnswer: 23000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(32)\/(sqrt(8)*-3) - (sqrt(192)\/sqrt(6) - sqrt(32))\/sqrt(8))\/((sqrt(108)*-4)\/((sqrt(42) + (sqrt(42)*2 - sqrt(42)) + sqrt(42))\/sqrt(7))).\nAnswer: sqrt(2)\/12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = -3*u, 3*a - 16*u + 19*u = -24. Let q(o) = 1 - 31*o - 1 - 14. What is the tens digit of q(a)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = p + 6. Suppose p*w = 5*c - 278 + 1141, 2110 = 5*w - 3*c. Is w composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) -1 (b) 1.897 (c) 0 (d) 1\/6 (e) 3 (f) 81\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = 28*v**2 + 14*v + 40. Let u be a(-3). What is the hundreds digit of (76\/5)\/((-495)\/u + 2)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*u - 3*f - 155 = -2*u, 0 = -5*u + 5*f + 390. Suppose -c + 0*c = -u. Is c a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 250806 is divided by 589?\nAnswer: 481","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*y + 144 = -36*v - 93, 3*y - 89 = -v for y.\nAnswer: 31","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-12)\/(-168))\/((-2)\/8). What is the closest to -1 in l, 6\/5, -1\/5?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.3? (a) 0.4 (b) 125 (c) 4\/7 (d) 1 (e) 2\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 5, 1.67, -5603\/3, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000053383 to 5 dps.\nAnswer: 0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 1\/(3\/(3 - 0)). Let l = -4978\/15 + 332. Which is greater: l or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5885335 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1497*w**2 + 11222*w**2 + 8927*w**2.\nAnswer: 18652*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11 - 50 = s. Find the common denominator of 2 + -3 + s\/(-2) and 65\/16.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -5629, -5596, -5563?\nAnswer: -5530","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**1)**(2\/19)\/(n**(-4)\/(n*n*n\/(n**3*n))) assuming n is positive.\nAnswer: n**(59\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = -92539*s - 1110461. Determine y(-12).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = -4*x**2 + 22. Suppose 0 = 23*w - 11*w + 24. Let a(j) = -1. What is w*t(i) - 44*a(i)?\nAnswer: 8*i**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 12429 and 64907.\nAnswer: 1381","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/((80\/717016)\/10) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 114348661 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -17501*5539.\nAnswer: -96938039","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 255721 to the nearest integer?\nAnswer: 506","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 507192 to the nearest integer?\nAnswer: 712","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.217945517 rounded to five decimal places?\nAnswer: 0.21795","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p + 11 = 13. Suppose 0*i - 3*y = -i, -4*i + 4*y + 40 = 0. Suppose 0 = 3*a + c - 3*c - 12, 0 = 3*a - 3*c - i. Put -4, p, a in decreasing order.\nAnswer: a, p, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = 23*x**2. Let d(f) = -5*f. Determine u(d(q)).\nAnswer: 575*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 700424 to the nearest integer?\nAnswer: 837","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t = -175 + 173. Let m be 8*1*(-22)\/44. What is the tens digit of ((-3)\/((-15)\/m))\/(t\/80)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 61253 to the power of 1\/2, to the nearest integer?\nAnswer: 247","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = 8*z + 6. Determine d(16).\nAnswer: 134","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -3370 + 3368. Put 5, 7, i, 1\/7 in decreasing order.\nAnswer: 7, 5, 1\/7, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-2)\/(-793))\/(32544\/(-2938) - -11)?\nAnswer: -2\/61","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = -w. Let k(q) be the first derivative of 137*q**3\/3 - 1558. What is v(k(o))?\nAnswer: -137*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Add together -3198 and -0.1.\nAnswer: -3198.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sum 0.055 and 9801.\nAnswer: 9801.055","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = 54*z**2 + 3*z - 3. Let i be o(1). Is i at least as big as 54?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) be the first derivative of -3*d**4\/2 + 8*d**3 + d**2\/2 - 4*d - 353. Let p be j(4). Let m(i) = -3*i**3 + i. Let n be m(-1). Solve p = -n*r - 3*r for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -26, -68, -132, -218, -326, -456, -608?\n\"Answer: -11*g**2 - 9*g - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 8, -2182 in ascending order.\nAnswer: -2182, 1, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -3146378*l**2 - 3116104 wrt l?\nAnswer: -6292756*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f**(-1\/3)*f)\/(f**(1\/4)*f))**(2\/49) assuming f is positive.\nAnswer: f**(-1\/42)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = -2*z. Suppose 15*o + 12 = 13*o. Let v be 0\/2 + (-3)\/(9\/o). Let m(j) = 17*j**v - 5*j**2 + j**2. What is m(u(b))?\nAnswer: 52*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 1626589 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*a - 10 - 8. Suppose 3*v - 3*k + 147 = 0, -3*v - 157 = -k - 0*k. Let b = a - v. Calculate the lowest common multiple of 6 and b.\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in thirteen quarters of a litre?\nAnswer: 3250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-1875630)\/250084)\/(5*2\/(-88)).\nAnswer: 66","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-1812)\/15*(-10)\/4. Suppose -n + 4*m - 2*m = -q, 6 = -2*m. Suppose -3*s = s - n. Does 21 divide s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {j: 15, e: 4}. Give prob of picking 1 j and 3 e.\nAnswer: 5\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 100471327 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 76782818?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 513761 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 42032428?\nAnswer: 2, 97, 127, 853","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) be the first derivative of b**6\/360 + b**3\/3 + 1. Let u(w) be the third derivative of i(w). Let x(p) = -25*p + 8*p + 16*p. Determine u(x(q)).\nAnswer: q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 803697944 to the power of 1\/5, to the nearest integer?\nAnswer: 60","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = -2*z**2 - 4. Let y(r) = 15*r**2 + 27. Give 27*i(l) + 4*y(l).\nAnswer: 6*l**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 929*h - 12 = 932*h for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h*h*(h\/(h\/(h*h\/(h**(-18)*h))))\/h*h*h*h**(-2\/25))\/(h**9*h**(-10)) assuming h is positive.\nAnswer: h**(573\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 135915 and 317730?\nAnswer: 255","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = -30*d - 390. Let g be h(-13). Let t(z) be the second derivative of -5\/4*z**5 + 25\/6*z**3 - 1\/2*z**6 - 2*z - 5*z**2 + g + 25\/12*z**4. Solve t(i) = 0.\nAnswer: -2, -1, 1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-9)\/(-12))\/((-1)\/8). Let w be (-4)\/(h + 2) + 4. Let d be 8\/20 + (-17)\/w. Which is the second biggest value? (a) -12 (b) -4 (c) d\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = -5*l**3 + 2*l**2 + 4*l - 2. Let s(x) = 20*x**3 - 9*x**2 - 17*x + 9. Give -9*a(n) - 2*s(n).\nAnswer: 5*n**3 - 2*n","meta":{"dup_signals":{},"source":"polynomials__add_test"},"subset":"dm_maths"} +{"text":"Question: Convert 2 (base 15) to base 9.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1*(-945)\/(-162)*4\/(112\/6).\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 263.315 + -14.315. What is the closest to 0 in 2, 5, u?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 15222?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 14 - -4. Suppose 0 = -4*r + 128 + 116. Let j = r - h. List the prime factors of j.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = m**3 - 8*m**2 + 26*m - 27. Let c(o) = -o - 4. Let h be 2\/(-7) - (-1030)\/(-70). Let f be c(h). Is i(f) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-five halves of a micrometer in nanometers?\nAnswer: 12500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/2, 0.2, -3\/2, -1, 1128 in decreasing order.\nAnswer: 1128, 1\/2, 0.2, -1, -3\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 481 - -b?\nAnswer: 48c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.059 - 5.659. Let l = -5 - f. Let y = -0.1 + l. Which is the second smallest value? (a) -2 (b) -1\/3 (c) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3 + (2 + -1 + -2 - 0)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3 - -4) + -34 + 35?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 97, 387, 869, 1543, 2409, 3467?\n\"Answer: 96*t**2 + 2*t - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = -o + 3. Let l(h) = 2*h - 5. Let y(t) = 6*l(t) + 10*u(t). Let q(s) = s. Determine y(q(j)).\nAnswer: 2*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = -r**3 - 13*r**2 - 13*r + 10. List the prime factors of p(-12).\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1 divided by -748\nAnswer: 1\/748","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1888295257?\nAnswer: 22067, 85571","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 0.05 times 0.0534089\nAnswer: 0.002670445","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*t + 3*l + 9, 3*t - l - 21 = -18. Let c(p) be the second derivative of t + 4\/3*p**3 - 1\/3*p**4 + 4*p - 2*p**2. Factor c(a).\nAnswer: -4*(a - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (9*k + 9*k + 9*k)*(k + 1 - 1 + (-k - 3*k + 2*k)*(-2 + 3 + 0) + k + k - 5*k) to the form m + n*k**2 + w*k and give n.\nAnswer: -108","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is (-8)\/(-4) - -28 - -1 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -c + 0 + 0 + 0*c + 5*c - 2*c + (-3*c + 2*c + 0*c)*(2 + 0 - 3) + 5*c - 20*c - 9*c - 4 + 0 - 5*c + 6*c + (-1 + 1 + 1)*(c + c - 4*c).\nAnswer: -22*c - 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z = 2*z - 625. Let d(v) = 4*v + 114. Let k be d(-16). Calculate the highest common divisor of k and z.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 590194905?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 291589 to the power of 1\/9, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-nine thirds of a week in minutes?\nAnswer: 97440","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/4 in -2, -20, 23?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = 19*s**3 - s**2 - 4*s + 4. Let a be y(1). Let i be 2\/(-6)*53*-15. Let h = i - a. Does 17 divide h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = -84*q + 7885. Determine f(94).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -20 - -41\/2. Suppose s = -4*s - 3*y - 15, -25 = s + 5*y. Find the common denominator of s + 3 + (-82)\/40 and a.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 2*6\/4 - ((-135)\/(-5))\/9. Suppose 0*q = 4*q - 64. Differentiate 6 + q - 50*p + v + 6 wrt p.\nAnswer: -50","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*n - 223 + 219 = 2*l, 5*l + 10 = -n for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = 0*k**3 - 2*k - k**3 + 15*k + 5*k**2 - 32 - 28 + 39. Calculate z(7).\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 13 + (-13 - 8) + (2 - -9).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -2\/17 (b) -25\/11 (c) -2 (d) 2 (e) -4 (f) -246\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 6127 and 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (206646\/(-44))\/101*6\/(-9).\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p - 3*u - 104 = 0, 0*u - 5*u = p - 96. List the prime factors of p.\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = 2*d - 7. Let z be p(5). Suppose -13*w + 6*w + 5*w = 0. Suppose -z*c + 5*c = w. Let g(y) = y**2 + y - 6. Determine g(c).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 509\/5, -9.954, -0.4.\nAnswer: -9.954, -0.4, 509\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1604645.\nAnswer: 5, 7, 19, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-75)\/(-45))\/(((-13)\/13*-1130)\/6).\nAnswer: 1\/113","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 5075.005 tonnes?\nAnswer: 5075005000000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -32\/21 and -52\/4809.\nAnswer: 4809","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 22 + (-3 - 10\/(-4 - 1)). Suppose -16*o = -b*o + 535. What is the remainder when o is divided by 31?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 5*t**3 - t**3 - 2*t**3 + (4 - 4 + 2*t)*(-34 + 43*t**2 + 37 + 10).\nAnswer: 88*t**3 + 26*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -1*5*(-63)\/45. Let u be ((-6)\/5)\/(-3)*5\/(-7). Let y = 35 - 174\/5. What is the closest to u in y, -3, z?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2066?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (10\/20)\/((-3)\/4). Which is bigger: -1 or a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -3*(-2)\/21 - (-870)\/42. Solve 4*z + s - 11 = 2*z, -s = 4*z - k for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.18 + 0.1799976. Round h to 6 decimal places.\nAnswer: -0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 24311 - 30354?\nAnswer: -2043","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Work out -4 * 76.\nAnswer: -304","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h = -2*y - 30, 70 = -3*h - 0*h + 2*y. Sort -2, -1, h in descending order.\nAnswer: -1, -2, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = z**2 + 8867904*z. Let a(u) = 5*u. Calculate d(a(r)).\nAnswer: 25*r**2 + 44339520*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) be the first derivative of 25*b**4\/4 + b**3\/3 + b**2 - 2*b - 1357. Calculate h(1).\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 512*m = 513*m - 8*b + 524, 5*m - 218 = -3*b for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 858\/(-132)*(-456)\/247?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -749 greater than -747?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -132 + 188. Let x = 70 - j. Solve -2 = -2*r - n, -5*n = 3*r + x - 3 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.0465 + 1.0465. What is the closest to 0 in 9, p, 2\/7, -3\/5?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -131.99999355 + 132. What is f rounded to seven decimal places?\nAnswer: 0.0000065","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 356744*k*r**2 + 2*k*r*z**2 + 1306*r**2*z**2 - 78*z**2 with respect to k.\nAnswer: 356744*r**2 + 2*r*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 11772192?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -125019 divided by 566\nAnswer: -125019\/566","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -83 + 83.01. Which is the closest to -1\/4? (a) 3\/7 (b) y (c) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 2*r**3 - 1)*(r + 3*r + 2*r) + 729 + 201*r**4 - 729.\nAnswer: 213*r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 14 - 16 - (-3 - 1). Let -5*y**2 - 24*y - 30*y - 3*y**r - 6*y + 32 = 0. Calculate y.\nAnswer: -8, 1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 470 and 50?\nAnswer: 2350","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = 2*n - 5. Let j be d(4). Let p(x) be the second derivative of 2*x - 1\/8*x**2 + 0 - 1\/6*x**j - 1\/16*x**4. Find g such that p(g) = 0.\nAnswer: -1, -1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of b**3*d*t - 37*b**3 - 8*b**2*d*t - d wrt b.\nAnswer: 6*d*t - 222","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*d - 2*u + 1240, 1010 = -4*d - u - u. Let j = 176 + d. Round j to the nearest ten.\nAnswer: -70","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -0.5 (b) -0.2 (c) 2 (d) 4098 (e) -24\/23 (f) 3 (g) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in three eighths of a litre?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: (1 - 1) + (-10 - (-15 + (0 - -42)))\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*y + 5*v + 65, 82*y + 440 = 14861*v - 14863*v for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 11, z: 2, o: 1}. What is prob of sequence rr?\nAnswer: 55\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = -7 - 3*y + 1 - 2. What is the lowest common multiple of 8 and t(-6)?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 974618 and 360858?\nAnswer: 274","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 5.092116mg?\nAnswer: 0.005092116","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 339001 and 68263?\nAnswer: 1157","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4*y**2 + 21*y**2 + 96*y**2 + (2 - 2 - y)*(-2*y + 5*y + 0*y) + y**2 + 0*y**2 - 2*y**2 - 2 - 1 + 3 - 4*y**2 to x*y**2 + q + u*y and give u.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*q - 4*q + 20. Suppose g = q*g - 6556. Is g prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 987 and 368133563?\nAnswer: 329","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/8 of a millennium in years?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/4, 2\/9, -25, 0.5 in decreasing order.\nAnswer: 0.5, 1\/4, 2\/9, -25","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r + 26 = 5. Suppose -n + r = 3*i, -8*n - 5*i + 155 = -3*n. Calculate the highest common divisor of 12 and n.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*p + 5 = -7*p. Let z be (3 + -8)*5\/p. Let g = -0.2 + 0.3. Which is the closest to g? (a) -2 (b) z (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -3877 + 6013. Calculate the remainder when c is divided by 93.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -13602000 rounded to the nearest one million?\nAnswer: -14000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3439 - 12*i - 1716 - 1723 - 35*i.\nAnswer: -47*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 4.4 - -1.6. Which is smaller: 0.1 or s?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) be the second derivative of -s**6\/180 + s**5\/30 - s**4\/12 + 5*s**3\/2 + 6*s. Let d(r) be the second derivative of v(r). Calculate d(3).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 4 - 1643751?\nAnswer: -1643745","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00037162437 rounded to five dps?\nAnswer: 0.00037","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 59 - 9*z - 19*z - 57.\nAnswer: -28*z + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.4? (a) 1\/2 (b) 6 (c) -147 (d) 2\/11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -2.32 + 0.32. Suppose 0 = 2*i - 7 - 1. Let u be (-3)\/(4\/(-3) - -2) - -4. Which is the biggest value? (a) i (b) y (c) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 22*(4 - (6 + -3)). Let j = i - 6. List the prime factors of j.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 217, 223, 243, 283, 349, 447, 583, 763?\n\"Answer: m**3 + m**2 - 4*m + 219","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 253 divided by -538802?\nAnswer: -23\/48982","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -349 + 356 - (24 - -2).\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (300\/45)\/((-4)\/(-216)*15).\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 4 - 2. Let v = -8.95 - 0.05. Let z = v - -9.4. Which is the second biggest value? (a) -0.5 (b) p (c) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 901*b - 54 = 868*b + 408 for b.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 3 + -6. Let z(d) = -3 + 1 - 5*d - 4*d**2 + 0. Let q(k) = -5*k**2 - 6*k - 3. Let l(h) = j*z(h) + 2*q(h). Find the second derivative of l(u) wrt u.\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -14\/957023 and 1 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 747132 + -510129. Suppose -6562997 - f = 4*l. What is l rounded to the nearest 100000?\nAnswer: -1700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1302 - 1302. Solve -4*u + 21 = 5*f, z*u = -5*f - 2*u + 13 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = j - 1. Let z(f) = 13*f + 23*f - 43*f + 6. Suppose 2*u - 4*u + 6 = 4*p, -5*p + 10 = 5*u. Determine p*z(q) + 5*n(q).\nAnswer: -2*q + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 114101 to the power of 1\/5, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1034.\nAnswer: 2, 11, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = i**2 + 2*i + 1. Let z = 7 - 8. Let v be j(z). Suppose 15 = -v*o - 5*o. Let n(a) = a**3 + 2*a**2 - 5*a - 2. What is n(o)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 13 + 13*b + 20*b + 13 - 26.\nAnswer: 33*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -51*c + 34 = -17*c for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -591*b = -198*b - 196*b - 194*b - 183 for b.\nAnswer: 61","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -4635 (base 10) to base 14\nAnswer: -1991","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -61\/4 + 15. What is the nearest to -1 in z, 0.5, -1\/2?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -373*w + 77*w = 64*w - 3256920. Is 25 a factor of w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 120\/(-5)*1\/(-2). Solve 3*b - 2*l - j = 0, 10 = b + 5*l + 6 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 765 and 85969476.\nAnswer: 429847380","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 273, 137, -51, -285, -559?\nAnswer: -867","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = v**3 - 4*v**2 + 3*v + 2. Let u be o(3). Let t = u + 1. Suppose 191*l - 187*l = 20. Solve -b - 6 = -2*q - 3*b, 0 = l*q - t*b - 7 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v - 15252 = -8*v. Suppose -5*j + 2*j + v = d, 4*d + 3798 = 3*j. Suppose -j = -0*r - 5*r + 3*p, 0 = 3*r + 4*p - 733. Is r a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = -h**2 - 8*h - 15. Let i be k(-5). Let m(q) = 2*q**3 - 2*q**2 + 19. Let o(t) = -t**2 - 7*t - 5. What is the remainder when m(i) is divided by o(-4)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2312203 to the nearest integer?\nAnswer: 132","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from arjrgggrgaf. What is prob of picking 1 a and 1 r?\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 328250905 a multiple of 334?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 17348 and 68?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is five quarters of a centimeter in micrometers?\nAnswer: 12500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 11779891 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 20 + 5*y - 15*y + 9*y to the form z + s*y and give z.\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -97 + 21 = 2*x. Let f = 48 + x. Calculate the least common multiple of 12 and f.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3 - 0) + (1 - 1) + 0?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3 + 3 - 8 - (-96 + 89) - 1 - -41?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -16*d + 46*d - 30*d + 8460*d**2.\nAnswer: 8460*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does 6491 = 6498?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*m = 7*m - 25. Let y(b) = -b**3 - 6*b**2 - 12*b - 31. Let v be y(m). Solve -c + 10 = 3*o, 5*o - v = -3*c + 6 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 2100331311033 - -11?\nAnswer: 2100331311110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = -u**3 + 2*u**2 - 2*u + 20. Calculate j(3).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22*s = -81*s + 958691. Is s prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = -40*u**3 - 7*u**2 + 4*u + 1. What is y(1)?\nAnswer: -42","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3\/5 in 1\/9, -2\/11, 0.4, -2\/3?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 24 and 1164?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 86\/18 - 4\/(-18). Suppose q + 2*g = 1, u*q - 20 = -5*g - 0*g. Solve -2*v = -q - 3 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 7 - ((0 - 10) + 28 + 3 + -6)?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 32505 and 773619?\nAnswer: 3868095","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {s: 2, n: 3, q: 10}. Give prob of sequence nqnq.\nAnswer: 3\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.002929 rounded to four dps?\nAnswer: -0.0029","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = 3*t**3 - 275*t**2 - 9*t + 627. Let y(z) = z**3 - 69*z**2 - 2*z + 157. Let j(x) = -2*h(x) + 9*y(x). What is the first derivative of j(i) wrt i?\nAnswer: 9*i**2 - 142*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 35972389 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -18329 divided by 2\nAnswer: -18329\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort -14, -3\/41, -2, 1 in descending order.\nAnswer: 1, -3\/41, -2, -14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -5 + 10. Suppose -a = m + 3*s, -m + 4*s = m - 20. Factor -8*k**m - 4*k**3 - 6*k**3 + 2*k**2 + 4*k**3.\nAnswer: -2*k**2*(k + 1)*(4*k - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 255705, 511450, 767195?\n\"Answer: 255745*m - 40","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o + 718022 = 4*m, o = m - 40879 - 138619. Is m composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 z when three letters picked without replacement from fzffzfffzzffzfffzzf?\nAnswer: 35\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 38634, 77302, 116040, 154884, 193870, 233034, 272412, 312040?\n\"Answer: 6*s**3 - s**2 + 38629*s","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (-20)\/(-25) + (-138)\/(-15)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 z and 3 u when four letters picked without replacement from ztxexyeeeetut.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 12\/(-3) - (2 + (-235)\/(-20)). Is v smaller than -18?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = x**2 + 1. Let u(z) = 7*z - 3*z**2 - 4*z**2 + 39 + 28 + 2*z**2 - 69. Determine 2*k(c) + u(c).\nAnswer: -3*c**2 + 7*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 90*b = -61*g + 64*g + 363, -2*g - 68 = -2*b for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 552 minutes before 1:39 PM?\nAnswer: 4:27 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(-47))**12\/(m**(1\/5)\/m**(3\/43)) assuming m is positive.\nAnswer: m**(-121288\/215)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_test"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -169.03? (a) -2 (b) -1.3 (c) 39\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1852518?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 7687476187 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) be the second derivative of -z**5\/20 + z**4\/12 + 2*z**3\/3 + 3*z**2\/2 - 26*z + 8. Calculate x(-2).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -6740 and 2.263248?\nAnswer: 6742.263248","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) be the third derivative of -m**10\/720 - m**6\/180 + m**3\/2 + 4*m**2. Let a(t) be the first derivative of i(t). Find the third derivative of a(y) wrt y.\nAnswer: -840*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:26 PM and 4:29 PM?\nAnswer: 123","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f*f*f**(-2\/9)\/f)\/f**(-1\/6)*f*f**(-1\/3)*f**(-6)*f*((f**(-2\/9)*f)\/(f*f*f**(-2\/17)))**(-26) assuming f is positive.\nAnswer: f**(7751\/306)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = 12*c**2 + 7 + 3 - 16 - 15*c**2 - 9*c - 1 + 2*c**3. Let b(s) = 2*s - 1. Let z be b(4). Is x(z) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -40*d - 4*d + 206 = 30. Let n(m) be the third derivative of 0*m + 1\/60*m**5 + 14*m**2 - 1\/24*m**d + 0 - 1\/6*m**3. Determine n(4).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (27\/(-18))\/((135\/684)\/(-5))?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -12592 - -57395. Is l prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 931379 + -4?\nAnswer: 931375","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13442 = -82*a + 18846 + 26248. Is a less than 381?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.2 in -9, 2.6, -1, 3?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Do 157 and -327 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = 7*c**3 - 4*c**2 + 11. Suppose 37 = 7*v + 9. Let k be v + -1 + -7 - -17. Let g(b) = 15*b**3 - 9*b**2 + 23. Give k*r(d) - 6*g(d).\nAnswer: d**3 + 2*d**2 + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 23828 is divided by 404.\nAnswer: 396","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 2*z**2 - 1)*(-1385*z + 78*z**2 - 75*z**2 - 550 + 1384*z).\nAnswer: 6*z**4 - 2*z**3 - 1100*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = n**2 - 4. Suppose 0 = 4*g + 2*l - 12, 3*l + 12 = 4*g - l. Let f be t(g). Solve 4*w + 2*i = 18, -6 = -f*w - 2*i + 17 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = -i**2 + 3*i. Let z(r) = -2*r**2 + 4*r. Let m(u) = -4*a(u) + 3*z(u). Let l(s) = 641 - 2*s**2 - 641. Give l(m(k)).\nAnswer: -8*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = -d**2 - 5002*d - 252338. Calculate u(-51).\nAnswer: 163","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 2*o - 1)*(8*o - 7*o**3 - 8*o).\nAnswer: 14*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = 2*n**2 + 2*n + 25. Let t be p(-17). Suppose -i - 2296 = -4*w + i, -t = -w - 2*i. Is w prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 46506752*j**2 + 54187665*j wrt j.\nAnswer: 93013504","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -8172 divided by 6?\nAnswer: -1362","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert -4 (base 11) to base 5.\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 38284.\nAnswer: 2, 17, 563","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-288)\/(-126) - 2) + (-4 - 880\/(-56)).\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.22 + 12.22. Let l = t + -12.1. Sort -0.5, l, 4.\nAnswer: -0.5, l, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -u**3 + 4*u - 3*u + 5*u**3 - 2*u**2 to the form m*u**3 + w + r*u**2 + f*u and give f.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(-21)*z**(-7\/6)\/z*z\/(z*z**(2\/59)*z)*z\/(z*z**(2\/61)))**17 assuming z is positive.\nAnswer: z**(-8896015\/21594)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 838*g**2 + 388 wrt g.\nAnswer: 1676*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -39 - -55. Let f = 64 - d. What is the remainder when f is divided by 7?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = 12*b + 74. Let c be d(-5). Solve -4*l - 3*h = -c, 3*h = -5*l + 5*h + 6 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -89\/4929246 and 163\/82947312?\nAnswer: 2405472048","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -66 + 84. Suppose -2*g - g = l. Let j be (g\/4)\/(9\/(-12)). Solve -3*n + j*n = -4 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 2947512 and 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -5 - -8. Let m(i) = i**2 + 2*i - 2. Let p be m(1). Solve 0*k + o + p = d*k, 4*k - o = 3 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3*4\/(-16)*-4?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t - 2*p - 2290 = 0, 5*t - 3*p - 2*p = 2305. Let n be (12 + (11 - (-803)\/(-33)))*-18. Calculate the highest common divisor of t and n.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (35\/15 + 1)*-12*(-7)\/56. Solve -12*a + 2 = -2*l - 10*a, -x*l - 2*a = -30 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(2 + ((-1 + sqrt(7))*2 - sqrt(28)\/sqrt(64)) + 4*(sqrt(7)*-2 + 2))**2.\nAnswer: -5399\/4 + 400*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/25 of a century in years?\nAnswer: 12","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1238230 or 1238231?\nAnswer: 1238231","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 20478, 21265, 22052, 22839?\n\"Answer: 787*s + 19691","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = g**2 + 6*g + 3. What are the prime factors of z(-9)?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -191*y + 6757 = 3490 - 4182. Solve 7*c = -y*c + 322 for c.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3047 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1 or 102.5?\nAnswer: 102.5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -64175.3 rounded to the nearest one hundred?\nAnswer: -64200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -313 - -282?\nAnswer: -91","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 605620942.\nAnswer: 2, 4993, 60647","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 726561 a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 1*1\/3 - 2. Let n(m) = m**2 - 12*m - 67. Let p be n(16). What is the fourth smallest value in 0.5, a, 0, p?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = -l**3 + 13*l**2. Let z be c(13). Let t(d) be the second derivative of -1\/60*d**5 + z + d + 0*d**2 - 1\/18*d**4 - 1\/18*d**3. Let t(s) = 0. What is s?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -56 - -60. Solve 0 = -3*v - 2*d - y, -1 = 2*v - 5*d - 11 for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 81 = 3*l + 2*t + 3*t, 3*t + 9 = 0. What is the units digit of l?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from cjjcjjjcjccc. What is prob of picking 1 c and 1 j?\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round 62955.3 to the nearest one hundred thousand.\nAnswer: 100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 2\/(-7) - 240\/(-105). Let y = 4 - o. What is the smallest common multiple of 4 and y?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-3)\/7)\/(6\/(-8))\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = 28*u - 14. Let x(t) = 19*t - 9. Let k(q) = 5*w(q) - 7*x(q). Let j(v) = -v + 1. Let b = -234 + 240. Calculate b*j(r) + k(r).\nAnswer: r - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = -6*y**2 - 4*y - 3. Let u be h(-3). Let q = 75 + u. What is the highest common factor of q and 20?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 240492.\nAnswer: 2, 3, 7, 409","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 136040 and 8871240?\nAnswer: 168553560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 26\/225 and 94\/357.\nAnswer: 26775","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = -3*d**3 - 11*d**2 - 3*d. Let q(t) = -t**4 + 4*t**3 + 12*t**2 + 4*t. Let j(p) = -3*q(p) - 4*s(p). Find the third derivative of j(a) wrt a.\nAnswer: 72*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 12\/(-41 + 5)*0. Solve s = 4*o + 5*f - 3*f - 14, 5*f - 17 = -4*o for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -13.5 + 13. Which is the second smallest value? (a) g (b) -2\/7 (c) 8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 968872 is divided by 819?\nAnswer: 814","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = 2*g - 42. Calculate the greatest common factor of 108 and g.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -6873 - -8511. List the prime factors of k.\nAnswer: 2, 3, 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor w**5\/5 - 12*w**4 + 261*w**3 - 2430*w**2 + 8748*w - 52488\/5.\nAnswer: (w - 18)**3*(w - 3)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = -11*p - 23. Let v(k) = -5*k - 11. Let j(t) = 4*i(t) - 9*v(t). Let b be j(-7). Let y be (-2)\/40*16\/(-18). Is y greater than b?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = 4*p**2 + 6*p**2 - p**2 + 0 - 1. Let w be v(-1). Suppose 7 = 5*a - w. Solve 0 = -2*g - g + a*d, 4*g = 5*d for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1845 + 1964. Is 13 a factor of m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = 2*f**3 - f**2 + f - 8. Give u(0).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 496251?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 24? (a) -5 (b) 2\/7 (c) 0.4 (d) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 8672 - 8676. Let r(c) = 2*c**3 + 4*c**2. Let w(b) = 3*b**3 + 5*b**2 + b. Determine z*w(f) + 5*r(f).\nAnswer: -2*f**3 - 4*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 + 29*p - 1 + 0.\nAnswer: 29*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -148 (b) -1\/11 (c) 0.8 (d) 189\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3653 is divided by 580?\nAnswer: 173","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((15\/(-50))\/((-3)\/15))\/6?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (-116)\/((1288\/(-13524))\/((-1)\/14))?\nAnswer: -87","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.26 * 0.21.\nAnswer: -0.0546","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -1\/101, 23, 409, -3, -2\/15, 2\/9, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 3033244 times -3\nAnswer: -9099732","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = 2*g - 7. Let i be (-7 - -8)*3*1. Suppose -n = -3*x - 15, 4*n - 7 = i*n + x. Calculate the remainder when u(5) is divided by n.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) be the second derivative of -u**4\/12 - 24*u. Let d(g) = -9*g**2 - g + g. What is s(d(o))?\nAnswer: -81*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = s**2 + 3*s - 59. What is l(7)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 687 + 1298. What are the prime factors of d?\nAnswer: 5, 397","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: (50\/(-7)*34\/(-170))\/(3*(-12)\/3528)\nAnswer: -140","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = -19268*d + 21. Let h(i) = 1609282630*i - 1753934. Calculate -3*h(n) - 250562*p(n).\nAnswer: -19274*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.1 + -0.5. Let g = 25681 - 51363\/2. Put u, 1, g, -3 in descending order.\nAnswer: 1, g, u, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = 188*a - 1962. What is the tens digit of v(50)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0.02, -4.1, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*s + 122 + 18. Let c = s + 44. Let i = 8229 - 8149. What is the greatest common divisor of c and i?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -5178, -20504, -45966, -81564, -127298, -183168, -249174?\n\"Answer: -5068*m**2 - 122*m + 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k + 24 = -x, x - 2*x + k = -6. What is the smallest common multiple of 20\/(0 + 3 - 2) and (x\/4)\/(17\/8 - 2)?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 197869 is divided by 39566?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = 2*n**2 - n - 6. Let y(j) = -1. Let c(h) = w(h) - 4*y(h). What is c(3)?\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2192, -3923, -4852, -4577, -2696?\nAnswer: 1193","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 take away -224?\nAnswer: 227","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express -464*c - 1 + 936*c - 822*c as f*c + l and give f.\nAnswer: -350","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q = -3*t - 4*q + 44, -3*t + 69 = -3*q. Suppose -2*b + 5*b - t = 0. Suppose -b*a = -a - 20. What is the units digit of a?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b - 2*i - 81 = 0, -123 - 181 = -4*b + 4*i. Suppose 4*s - b = -59. Solve 0 = s*f + 7 + 8 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-651)\/180)\/(-31)*1\/7. Let b(w) be the third derivative of 6*w**2 + 1\/3*w**3 + 0 + 0*w + 0*w**4 - a*w**5. Find the first derivative of b(d) wrt d.\nAnswer: -2*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 1765, 5075, 10299, 17443, 26513?\n\"Answer: y**3 + 951*y**2 + 450*y + 363","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {k: 1, j: 2, f: 1, d: 1}. Give prob of sequence fjd.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = r**3 - 109*r**2 + 107*r - 11619. What is x(109)?\nAnswer: 44","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/2 of a hour in minutes?\nAnswer: 210","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 25312 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*c + 15*c**4 - 2547 + 2545 - 2*c**4 + c**3 - 3*c**2 as y*c + g*c**2 + j + r*c**4 + v*c**3 and give y.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -1093.047947 and 1890?\nAnswer: 2983.047947","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 79334 - 49354. Is 20 a factor of q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y**(-6\/13))**(1\/2)\/(y**(15\/4)\/((y*y*(y*y**(9\/7))\/y)\/y*y)))**(-31) assuming y is positive.\nAnswer: y**(7843\/364)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -10 + 10 - -12 - 16.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*r**4 + 2*r**5 - 3*r**4 - r**4 + 0*r**5 = 0 for r.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 2145?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 11 + -5. Let r(m) = -2*m**3 + 83*m**2 - 119*m + 14. Calculate the smallest common multiple of r(40) and l.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 55*p = 57*p - 4. Suppose 0 = p*j + 10*j - 48. Let l be (1 + j)\/(-3 + 4). Solve d = -0*d - l for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = 25*t + 842. What is o(-27)?\nAnswer: 167","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*w + 2*b + 19, -b + 5 = 2. Suppose -d + w*d - 12 = 0. Solve 0 = d*g - 8 - 7 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-4)\/6)\/(4\/(-6)). Let m be (-16)\/(-3) - ((-348)\/36 + 11). Solve m*j + r = 21 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 235 minutes before 5:32 AM?\nAnswer: 1:37 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 93119?\nAnswer: 13, 19, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*2*((sqrt(2) - (sqrt(800) + sqrt(2)))**2 + (sqrt(2) - sqrt(50)*-4)).\nAnswer: 168*sqrt(2) + 6400","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = i**3 + 16*i**2 + 14*i - 31. Let d be r(-15). Let w be 1\/1*160\/d. Is w bigger than -9?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or -3\/5624?\nAnswer: -3\/5624","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1216) + (sqrt(1216) - (1*sqrt(1216) + -4)) - sqrt(1216))**2 - (sqrt(1216) + 5*(sqrt(1216) - (1 + sqrt(1216)))**2).\nAnswer: -8*sqrt(19) + 11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 15455307 a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = h**3 - 4*h**2. Let b be i(4). Suppose -2*u - 3 + 1 = b, 4*q + u = 3. Solve -q + 16 = 3*m for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 8 + 9\/(-3) + -1. Suppose 0 = -4*z + y*d - 9 - 11, -4*d + 20 = -2*z. Is z bigger than 2\/13?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = f**2 - 13*f + 4. Let u be v(6). Let i = u + 21. Does 17 divide 3\/2*i*-2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = -11*v + 21. Calculate g(1).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = i + 7. Let j be d(-8). Let h(s) = 2*s**3 + 2*s**2 + s. Let v be h(j). Let y = -14.3 + 14.3. What is the biggest value in y, v, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 125*h**4 - 132*h?\nAnswer: 1500*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 6, 5, -12, -51, -118, -219, -360, -547?\n\"Answer: -h**3 - 2*h**2 + 12*h - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 5540.46052 rounded to 0 decimal places?\nAnswer: 5540","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-9)\/18 + (-2)\/4. Let f be (1 + l)*(-5)\/10. Suppose f = 3*z - z - 8. Solve -3*a - 1 = -z for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = -y**3 + 8*y**2 + 7. Let z be g(8). Suppose -84 = -24*l + 21*l. What is the highest common factor of l and z?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -0.045 (b) 15\/7 (c) 0.04\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 4330 - -30070?\nAnswer: 34410","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.2 - 0.5. Let z = s + -0.1. Let x = -2 - -4. What is the second biggest value in 0, z, x?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 8\/(-204) - 194\/255.\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 88648 or -7351?\nAnswer: 88648","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = 14*q**2 - 11*q. Let w be y(-5). Suppose 8*f - w - 731 = 0. What are the prime factors of f?\nAnswer: 2, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18*r = 14*r + 36. Suppose -3*u = -3*w + r, -5 = -3*w - 0*u + 5*u. Suppose -w*h + 7954 + 511 = 0. Is h prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w + 7 = -1. What is the lowest common multiple of (-21)\/w*(-20)\/15 and 18?\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4 (base 15) to base 10\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -bc - 4?\nAnswer: -c1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 78 + -48 + 38 + -30?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kc when two letters picked without replacement from kxxcxxxxxkxkxkcc?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 77567?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -4029906773 - -4029907898.9999094. Let b = k + -1126. Round b to five decimal places.\nAnswer: -0.00009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10\/(-4)*2926\/385?\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 8609, 16847, 24713, 32207, 39329, 46079, 52457?\n\"Answer: -186*k**2 + 8796*k - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7069155?\nAnswer: 3, 5, 471277","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 827?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express 174*t**2 + 198*t**2 + 12 + 227*t**2 - 154*t**2 as s*t**2 + o + u*t and give o.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1556735*j**4 + 35*j**2 + 1556731*j**4 + 14 - 1 + (1 - 1 - 2)*(3*j**4 - 4*j**4 + 3*j**4) to the form g + n*j**3 + c*j**4 + w*j + i*j**2 and give g.\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w - 13 = 5*q, 5*q - w - 8 + 19 = 0. Which is the second smallest value? (a) q (b) 0.199 (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 5966 and 14691332?\nAnswer: 2306539124","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 31407375 and 76250?\nAnswer: 314073750","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -63 + 2?\nAnswer: -61","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = -4*j + 8. Let w(h) = -1149*h**2 + 1. Calculate w(n(m)).\nAnswer: -18384*m**2 + 73536*m - 73535","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 + -33 - ((-2 - -1 - 7) + 37 - 16)?\nAnswer: -48","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(153)*6 + (sqrt(153) + 2 + sqrt(153))*-3 + sqrt(153) + (sqrt(153)*-2 + 0 + (sqrt(153) + (sqrt(153) - (sqrt(153) + -2)))*3)**2)*5.\nAnswer: -75*sqrt(17) + 915","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7226 is divided by 82.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8*i**2 + 22*i**2 - 17 - 11*i**2 + 17.\nAnswer: 19*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 1783 to the power of 1\/2, to the nearest integer?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -626.0766 + 626. What is r rounded to 2 dps?\nAnswer: -0.08","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 24 + -36 + 32 + -47?\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -4, 147, 2, 4?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2846626?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find u, given that u**4\/8 - 60321*u**3\/8 - 723951*u**2\/8 - 2714935*u\/8 - 1508325\/4 = 0.\nAnswer: -5, -2, 60333","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = -2*k**3 + 14*k**2 - 15*k + 15. Give m(6).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*(-5 + sqrt(17) + -1 + 5 + -5 + sqrt(51)\/sqrt(3)))**2*5.\nAnswer: -1920*sqrt(17) + 8320","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*c + 26*c - 154 = 0. Solve 3*z = s - c, 16 + 5 = 3*s - 3*z for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 136428.\nAnswer: 2, 3, 11369","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i + 5*p = 3680, 3*i - 2947 = -i - p. Calculate the common denominator of i\/(-43617) + (1 - 5\/7) and 3\/11.\nAnswer: 1023","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*o = 3*i - 31, -2*o - i - 2 + 15 = 0 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 337181 (base 11) in base 10?\nAnswer: 536603","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + ((sqrt(96) - -6*sqrt(96)*2)\/sqrt(8))\/(-6*-2*sqrt(6) - (-4*(sqrt(6) - sqrt(24)\/sqrt(4)) - sqrt(6) - sqrt(6))).\nAnswer: -3 + 13*sqrt(2)\/14","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 482318202?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((0 + 0 + 2*n)*(8 + 2 + 11) - 4*n - 2*n + 4*n)*(-1 + 2 + 0).\nAnswer: 40*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/5 in -0.4, 2\/7, -56, -3\/4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 2*(12\/(-16))\/(6\/4)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mee when three letters picked without replacement from {p: 5, m: 10, e: 4}?\nAnswer: 20\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -27, -2, 5, -7?\nAnswer: -27","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16\/5*t**3 + 64\/5*t**4 + 4*t - 36\/5*t**5 - 72\/5*t**2 + 8\/5 = 0. Calculate t.\nAnswer: -1, -2\/9, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 2876?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = -c**3 - 3*c**2 - 3*c. Let g be s(-2). Let a(w) be the third derivative of -5\/6*w**3 + 0 - 2*w**g + 1\/12*w**4 + 0*w. What is a(5)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = -668*f - 28. Let g(l) = -2003*l - 85. Let b(u) = -6*g(u) + 17*x(u). Let d be b(-7). Round d to the nearest 1000.\nAnswer: -5000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 8\/33? (a) -6 (b) 24 (c) 0 (d) 3 (e) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (0 + 0)\/(2 + -4). Suppose -d + 2*d = 2*k + 21, -3*d - 2*k + 63 = j. Let v(l) = 2*l**2 - 3*l + 2. Calculate the remainder when d is divided by v(3).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -6514 - 5300?\nAnswer: -14014","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 93032736 a multiple of 190?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s - 3*u = 111, 0 = 5*s - 5*u + 58 - 173. Is 9 != s?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1381.04*0.2.\nAnswer: 276.208","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 913.\nAnswer: 11, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 62, 6, -84, -208, -366, -558?\n\"Answer: -17*d**2 - 5*d + 84","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = u**2 + 2*u - 1. Let w be i(-3). What is the third derivative of -5*b**2 + b**w + 0 + 0 - 8*b**4 wrt b?\nAnswer: -192*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -39*d - 1339 - d**2 + 33*d + 1283 + (0 + 4 - 3)*(1 - 2*d**2 - 1).\nAnswer: -3*d**2 - 6*d - 56","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-1)\/(-6)*3*-8. Let m = -2 - v. Suppose -m*d = -0*d - 8. List the prime factors of d.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 198 * 1.8.\nAnswer: 356.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -1018, -4080, -9186, -16336, -25530, -36768?\n\"Answer: -1022*z**2 + 4*z","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 168505?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 10 + 32?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**2*v)**8\/(v**5)**(-2\/5) assuming v is positive.\nAnswer: v**26","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 58138977 to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 234622669 and 6921?\nAnswer: 769","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 22, 61, 112, 181, 274, 397, 556?\nAnswer: 757","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = -4*h**2 + 7*h - 8. What is f(-6)?\nAnswer: -194","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-11)\/(-4) + (-12483)\/4788. What is the closest to 1\/3 in -3\/4, f, 2.6, 0.8?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*m - 6 = j, 2*m - 257 = -10*j - 177 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) be the third derivative of 0*f - 10*f**2 + 10\/3*f**3 + 0*f**4 + 0 - 1\/4*f**5 + 1\/24*f**6. Factor v(w).\nAnswer: 5*(w - 2)**2*(w + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 2\/(1 + (-21)\/15). Sort g, 5, 3 in decreasing order.\nAnswer: 5, 3, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-3220)\/(-69))\/(288\/(-216)).\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -120622 (base 7) to base 3.\nAnswer: -1010001211","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) -0.4 (b) 0.5 (c) 1 (d) 61\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is (3\/(-1))\/((-4422)\/(-536))?\nAnswer: -4\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from kprtkkpbk. Give prob of sequence ktp.\nAnswer: 1\/63","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 7\/(7\/220)*104\/65?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*g - 13*g + 22500 = 0. Round g to the nearest 1000.\nAnswer: 8000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (16\/5 - 4)*-5. Solve -d - l*d = 25 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 93847 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or -399.9?\nAnswer: -399.9","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*o**4\/19 - 46*o**3\/19 + 330*o**2\/19 - 522*o\/19 = 0. Calculate o.\nAnswer: -29, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 7 - 5. Suppose -3*s = z*s - 10. Solve -12 = -s*l - 2*l for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -34 and 3.926.\nAnswer: -30.074","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k - 29 = i, -10 + 4 = -2*i. Calculate the common denominator of 57\/20 + 2\/(-5) and (-2)\/k*(-16)\/(-36).\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.0188652 rounded to 4 decimal places?\nAnswer: 1.0189","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 144 + -141. Solve 5*s - 6 = f*s for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3\/51 - 21\/357?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 675 minutes after 1:57 AM?\nAnswer: 1:12 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is a5 - 1?\nAnswer: a4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4 + 6*m - 4 + 0 - m - 2*m + 2*m + 2*m + 8*m - 3*m + m - 2 + 2 + (m + 2 - 2)*(2 + 1 - 2) - 2 + 2 + 2*m + 4*m - 6*m + 0*m + m + 4*m - 4*m.\nAnswer: 15*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 42108466 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3291447?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (460\/4370)\/((-2)\/38).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = 2*w**2 + 4*w + 3. Let f be p(-2). Suppose -f*q + 2 = -q. Suppose 22 = t - q. What are the prime factors of t?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -49311010 divided by 190390.\nAnswer: -259","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = -16*p**4 + 8*p**3 + 16*p**2 + 12*p + 20. Let f(u) = u**4 - u**2 - u - 1. Suppose 5*o + 0 = -5. Let z(t) = o*d(t) - 20*f(t). Factor z(w).\nAnswer: -4*w*(w - 1)*(w + 1)*(w + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = 792*m - 14. Let t be i(-5). Suppose -867714 = -22*u + 210858. Let d = u - t. Round d to the nearest 10000.\nAnswer: 50000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-1)\/1*310\/(-155). Solve 4 - 16 = -h*n + 4*b, 5*b = -n - 8 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((62\/(-434))\/((-3)\/(-6)))\/(104\/(-7))?\nAnswer: 1\/52","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 21147, 42289, 63431, 84573?\nAnswer: 105715","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -5.025 + 0.025. What is the nearest to 1\/3 in t, -1\/8, -0.5?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = -u**3 + 5*u**2 + 11*u - 24. Let v be f(6). Solve -v*w = 3*w + 36 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (s**3 - 2*s**3 - 2*s**3)*(3*s - 3*s - 2*s**2 - 4*s**2 - s**2 + 3*s**2 + (s - 3*s + 4*s)*(-1 + 1 - 2*s)).\nAnswer: 24*s**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 17*d**2 - 2*d**2 + 30*d**2 + (-d + 0*d + 2*d)*(3 - 3 + 2*d) + d**2 + 2 - 2 + (6*d + d - 2*d)*(-4 + 4 - 2*d) to s + c*d + o*d**2 and give o.\nAnswer: 38","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6 + k**2 + 0*k**2 + 6.\nAnswer: k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 282*c*k**3*m + 3*c*k**2 - 35*c*k*m + 3*c - 3*k**3*m wrt k?\nAnswer: 1692*c*m - 18*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(176) + sqrt(176) + -2*sqrt(176)*-5)**2 + -4.\nAnswer: 25340","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = k - 5. What is the remainder when o(13) is divided by 3?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = d**2 + 28389*d + 170282. Determine s(-6).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = -4*d - 10. What is the units digit of 3\/(-1) - d - -6?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (0 - (-9)\/12)*637\/(-3822).\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1211474 divided by 22858?\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = -4*d + 5. Solve 15 = -d*k - 3*k for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -927641.549 rounded to the nearest one thousand?\nAnswer: -928000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -48948*b + 20890?\nAnswer: -48948","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put together -40717120.8 and -0.364.\nAnswer: -40717121.164","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 198 - 791\/4. Let g(q) be the first derivative of 3\/8*q**4 + k*q**3 - 3\/2*q**2 - 9\/4*q - 1. Solve g(c) = 0 for c.\nAnswer: -1, 3\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 52624 and 1287?\nAnswer: 143","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3)\/27*15 + 2\/12.\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -5 - -27. What is the greatest common factor of 550 and m?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4486 is divided by 442.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hhok when four letters picked without replacement from {k: 4, w: 1, h: 4, o: 1, j: 1, v: 1}.\nAnswer: 2\/495","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = -m**3 + 10*m**2 + 13*m - 13. Let b be t(11). Solve 0*p - 3*p = -b for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 1\/3*v**5 + 0*v**4 + 0 + 8\/3*v**2 - 2*v**3 - v.\nAnswer: v*(v - 1)**3*(v + 3)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 13984.2 and 0.5.\nAnswer: 6992.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 22*i - 12*i + 117*i - 16*i.\nAnswer: 111*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 24143 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Divide 62 by 17908.\nAnswer: 31\/8954","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = 124*c**3 - 2*c**2 + 4*c - 3. Let f be l(2). Let u = 5903\/6 - f. Calculate the common denominator of u and ((-206)\/(-45))\/((-13)\/(845\/(-52))).\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (5 - 3) + 0 + 8. Suppose -v - p = -3*v. Let i = -5 + 3. Which is the closest to 0.2? (a) -1 (b) v (c) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 13380?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d + 351 = -j - 2*j, -j = 5*d + 581. Let b be 9\/(-3) + d + 1. Let z = 1568 + b. What is z rounded to the nearest one hundred?\nAnswer: 1500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = 348290*u - 2438033. Calculate i(7).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = -1. Let f(d) = -4*d + 10. Let b(w) = f(w) + 8*i(w). Calculate b(2).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -180011682*q + 309437025?\nAnswer: -180011682","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = 31*w**3 + w + 2*w**3 + 0*w - 2*w**2. Suppose o - 2*n = 5, 5*n - 3 + 13 = 0. Does 6 divide h(o)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-770 - 132*z + 774 - 58*z)*(-6 + 5 + 11).\nAnswer: -1900*z + 40","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express 70 - 24*v**2 + v**3 - 24 - 20 + 26*v**2 in the form n*v**2 + u + z*v**3 + c*v and give z.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) be the first derivative of c**2 - 13*c - 944. Calculate t(-11).\nAnswer: -35","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 3\/8 - (-504)\/192. Suppose 1184 = u*v + 5*v. What is the units digit of v?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -15, -1738135, 4.\nAnswer: -1738135, -15, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 49550 rounded to the nearest one thousand?\nAnswer: 50000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 47669049*0.2.\nAnswer: 9533809.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 370 + -12\nAnswer: 358","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand -10*m**2 - 8*m**2 + 30*m**2 + (-m + 9*m + 4*m)*(2*m + m - 2*m).\nAnswer: 24*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f + i + 4500 = 0, -20*i = 5*f - 16*i - 22464. What is the units digit of f?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from xipxxxex. What is prob of sequence iex?\nAnswer: 5\/336","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_test"},"subset":"dm_maths"} +{"text":"Question: What is (-3 - 9) + 3 - ((-9 - 8) + (3 - -1))?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 456174.\nAnswer: 2, 3, 25343","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*q**3 + q**4 + q + 4*q**3 - 48*q**2 + q**4 - 2429*q + 2429*q - 2*q**4 - 4 + 4 - q + q - 2*q**4 + (2 - 2 + 1)*(-2*q**4 - q**4 + 2*q**4).\nAnswer: -3*q**4 - 48*q**2 + q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -47 - -72. Let c = j + -24.9999875. What is c rounded to 6 dps?\nAnswer: 0.000013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 55 and 7785415?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 31.87 + 3.53. Let q = d + -36. Sort -4, -5, q in ascending order.\nAnswer: -5, -4, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*v**2\/5 + 1476*v - 29584\/5 = 0 for v.\nAnswer: -1849, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -3 + -4. Let g = 6.9 + s. What is the second biggest value in -0.02, g, -5?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = -8*t**3 - 40*t**2 + 456*t - 782. Let z(m) = -20*m**3 - 100*m**2 + 1140*m - 1956. Let u(j) = 12*n(j) - 5*z(j). Find h, given that u(h) = 0.\nAnswer: -11, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = -34*k - 100. Let f be q(-3). Let m(h) be the first derivative of 0*h + 12 + 7\/2*h**f. Let n(s) = 3*s. Determine m(n(g)).\nAnswer: 21*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 44*522535\/534820 + -43?\nAnswer: -2\/187","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 7184 - 7088. Solve n*h = 87*h + 45 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-52)\/(-104))\/((-1)\/(-26)). Suppose 5*r = -i*r + 198. What is the units digit of r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify n**(-36)*n*n\/(n*n**(1\/42)) assuming n is positive.\nAnswer: n**(-1471\/42)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 129897, 129899, 129901, 129903, 129905?\n\"Answer: 2*a + 129895","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 364437617 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4*n**2 + 6*n**2 + 54*n**2 to the form y*n + h*n**2 + k and give h.\nAnswer: 64","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 u and 2 d when three letters picked without replacement from dduuduuuddududududu.\nAnswer: 120\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 81.9 - 81.900000683. Round l to 7 dps.\nAnswer: -0.0000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/3 in 0, -0.5, -0.011?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 19 a factor of 270548?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = 6*r**3 + r**2 + 6*r + 4. Let i be u(-1). Put -32, -3, i in decreasing order.\nAnswer: -3, i, -32","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6913962 to the power of 1\/8, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: c0 (base 15) to base 13\nAnswer: 10b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1.75 + 1.85. What is the closest to -0.1 in -4, r, 1, 4?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-37)\/(-17) + -2)\/(378\/360) + 538\/4573.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 660 minutes before 9:17 AM?\nAnswer: 10:17 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 634 to the power of 1\/8, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in 2, -7, 0, 941, 2\/59, 1\/4, -3\/5?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 38 + 24?\nAnswer: 5c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(-3 + 2*sqrt(5) - (5 + -1*sqrt(5)))**2.\nAnswer: -48*sqrt(5) + 109","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = 12084*o. Let h(l) = -2*l. Give y(h(r)).\nAnswer: -24168*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 4.89 - -0.11. Let f = -5.2 + j. Let z = f - -0.1984. Round z to three decimal places.\nAnswer: -0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 143*d + 7620 = -116*d - 249*d for d.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -7 + 11. Calculate the remainder when f is divided by 2.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -2\/199 (b) -0.3 (c) 267638\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c - 2*h = -77, 20 = 3*c + 5*h - 30. Suppose 3*i = 6*i - c. What is the second derivative of -3*z**5 - i*z**5 + 5*z**5 + 11*z**5 - 3*z wrt z?\nAnswer: 160*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*k = -13 - 27. Suppose 48 = k*u - 16. What is the greatest common factor of u and 304?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = -w**2 + 27*w - 7. Give u(27).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor 325966757888*d**2 - 807424*d + 1\/2.\nAnswer: (807424*d - 1)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = -4*x**2 + 3*x + 5. Let t(h) = 1. Let q(u) = -6*t(u) + w(u). Let k be q(2). Let j = 4 - k. Solve 5*o + 5 = -j for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = -u**3 - u**2 + u + 144. Let a be j(0). Suppose 3447 = -43*s + 9854. Let k = a + s. Is k prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n = -r + 5, 0*n - 5*n + 3*r = 15. Suppose -2*v + n*v = -638. Is v composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -73\/2 - -38. Let 3*w**4 - 3\/2*w**5 + 0*w**2 - p*w**3 + 0 + 0*w = 0. What is w?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -62*p = -97*p + 140. Let c(x) be the second derivative of 1\/5*x**5 + 0*x**3 + 0 - x + 5\/12*x**p + 0*x**2. Find the third derivative of c(y) wrt y.\nAnswer: 24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*s - 312 = 3*h - 288, 0 = -3*h - 7*s + 106 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -6*z + 83 - 41 for z.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t**5 - 4*t**4 - 5*t**3 + 20*t**2 + 4*t - 16 = 0. What is t?\nAnswer: -2, -1, 1, 2, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(133)\/sqrt(112) + -1)**2.\nAnswer: -sqrt(19)\/2 + 35\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 5, 2\/9, -0.2, -9?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*u + 129 - 517 + 127 + 133 + 128.\nAnswer: 4*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(sqrt(363) + sqrt(363) + -1 + sqrt(363) + (sqrt(36)\/sqrt(3))\/sqrt(4) + sqrt(3) + (2*sqrt(147))**2*-4).\nAnswer: -11765 + 175*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (-2)\/(-21)*6\/(-12) and -37\/21?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -5*j**4 - 1108968*j**3*t**3 + j**2 - 28*j*t**3 + 19*j*t**2 + 2878 wrt j.\nAnswer: -60*j**2 - 6653808*j*t**3 + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 37 + -12 + -10 - 1?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -215, -332, -451, -572?\nAnswer: -695","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 262449? (a) -0.1 (b) 2.6 (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = 82*a + 14. Let t be b(6). Let i = -156 + t. Suppose -2*k + 140 = w, 2*w = 5*k - 3*w - i. Is k a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from tztztnxtxkttktztt. Give prob of picking 1 t and 1 n.\nAnswer: 9\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 26*y - 192 = 22*y. Suppose -36 = -44*c + y*c. Let j be 3 - (3 + -2) - (c - 1). Solve 2*u = 5*u - 5*l + 37, -2*u - 4*l + j = 0 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 2706 - 2710. Which is the biggest value? (a) -1544 (b) n (c) -1 (d) 2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = b**2 - 9*b + 4. Determine k(8).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) be the first derivative of -v**5\/20 - 3*v**4\/4 + 8*v**3\/3 + 7*v**2\/2 - 3*v - 4. Let u(o) be the first derivative of q(o). Is u(-12) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find c such that -3*c**3\/4 - 57*c**2\/4 + 48*c - 33 = 0.\nAnswer: -22, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*r = r - 400. Find the common denominator of 7\/16 and 12\/(-30) - (-173)\/r.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 128\/(-1984) - (219\/(-93) - -2). Which is the second smallest value? (a) 0.3 (b) 2\/5 (c) 1\/3 (d) 1\/2 (e) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 685 minutes after 6:51 PM?\nAnswer: 6:16 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -70 + 85. Suppose b = -90 - k. What is b rounded to the nearest one hundred?\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = 3*n + 42. Let p be f(-14). Suppose p = 13*g - 12*g. Which is bigger: -5\/13 or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -18, 5\/3, 2\/33, 0.5, 0.004?\nAnswer: -18","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2675 is divided by 12?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4 - 2 - 1)*(0*b - b - b) + 3*b - 2*b + 0*b + (-b + 2*b + b)*(-4 + 5 - 3) + (1 - 3 - 1)*(-b - 3 + 3) - 2*b + 5*b + b to the form g*b + x and give g.\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (15\/3)\/(2 - 1). Suppose -29 = 5*z - 0*i - i, -5*i - g = 0. Let h(f) = f**3 + 7*f**2 + 9*f + 21. Let o be h(-6). Sort o, 0.2, z in descending order.\nAnswer: o, 0.2, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -65.1094 + 56.1. Let k = 0 + -9. Let j = k - v. What is j rounded to 3 dps?\nAnswer: 0.009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 2\/137 (b) -0.2 (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 149 = -6*x - 73. Let p = x + 84. Calculate the remainder when p is divided by 17.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 62 - -0.19.\nAnswer: 62.19","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 104, 99, 92, 83, 72, 59, 44?\nAnswer: 27","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2808.\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find d, given that 460*d**5 - 7825*d**4 + 23545*d**3 + 7565*d**2 - 24005*d + 260 = 0.\nAnswer: -1, 1\/92, 1, 4, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = -752*n + 5115. Is 8 a factor of s(-16)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = -x**3 - 26*x**2 - 15*x - 18. Let v(o) = 2*o**3 + 52*o**2 + 29*o + 36. Let i(t) = 13*c(t) + 6*v(t). List the prime factors of i(-26).\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 11\/54 and 13\/1817?\nAnswer: 98118","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = -14*g - 1. Let u(b) = 43*b + 54. Let r(s) = -u(s) - 3*x(s). Let t(z) = 2*z. Let j(w) = 2*w. Let a(h) = 4*j(h) - 5*t(h). Give r(a(q)).\nAnswer: 2*q - 51","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = -c**3 + 89*c**2 - c + 89. Let f be o(89). Factor -2\/11*n**2 - 8\/11*n + f.\nAnswer: -2*n*(n + 4)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gbdq when four letters picked without replacement from qbpbgggpbpbdqgx?\nAnswer: 4\/4095","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1553 is divided by 58?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = 8 - j - 6 + j**2 - 11 + 0*j**2 + 15. Let v(x) = x**2 - 2*x + 6. What is -4*c(u) + 3*v(u)?\nAnswer: -u**2 - 2*u - 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -242 + 242.00338. What is n rounded to 3 decimal places?\nAnswer: 0.003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5697888 divided by 1424472\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 10103230 (base 4) in base 16?\nAnswer: 44ec","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 8082488839 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -7 + (-2 - -1) + (-10 - 2 - -1).\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 202 - 104520?\nAnswer: -10431b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 658?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -67\/60 - -5\/4. Let o be (9935\/(-57623))\/(2\/(-58)). Which is the nearest to 2\/5? (a) 26 (b) l (c) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*d - 21*d + 57*d + 0 + 0.\nAnswer: 40*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -38*x**2 - 246*x**2 + 324*x**2 - 40*x**2 + 41*x**3 - 45*x**3.\nAnswer: -4*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_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: What is next in -189, -428, -753, -1164?\nAnswer: -1661","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 232, 240, 260, 298, 360, 452, 580?\n\"Answer: a**3 + a + 230","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 70\/(-8)*(11877\/535 + -19)?\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*-2*sqrt(1452)*-1)**2.\nAnswer: 5808","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*i - 3*i + 4*i)*(-2 + 2 + i) - 34*i**2 + 19*i**2 - 70*i**2 to the form o + t*i**2 + f*i and give t.\nAnswer: -86","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*k + 29 - 20. Suppose k*c - 502 = -2*s + 95, 12 = 4*s. Let h = -88 + c. Is h prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 44\/2241 and -8\/749169.\nAnswer: 62181027","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Divide 36 by 4.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -257*v**2 + 0*v + v - 3*v - 244*v**2.\nAnswer: -501*v**2 - 2*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -427a + 1?\nAnswer: -4279","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 14762591 to the nearest integer?\nAnswer: 3842","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3864*x**2 + 2*x - 2*x - 4949*x**2.\nAnswer: -8813*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 386321 and 13.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u + 9 = x, -2*u + 5*x = x - 18. Solve -u*l = -7*l for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1873\/7 - 267. Suppose -15*a + 10*a - 5 = 0. What is the biggest value in a, -2\/17, p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v + 7 = -3*v. Let z = v - -7. Let d = 1 - 1. Solve 4*h - 4*j - 4 + 8 = d, -3*h + j - 11 = z for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -51*o + 11684 = 12500 for o.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = -9*k**2 + k + 4. Give m(-3).\nAnswer: -80","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 14, 10, 6?\n\"Answer: -4*c + 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1769559 is divided by 222?\nAnswer: 219","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express (k - 2*k + 12*k)*(-29 + 46*k**3 - 5 + 38) as y*k + x*k**4 + d*k**2 + s*k**3 + o and give y.\nAnswer: 44","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5829*l**2 - 6029*l**2 + 11864*l**2.\nAnswer: 6*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*n + 3*n + 2*n)*(45 - 112 - 34).\nAnswer: -202*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = -2*t**3 + 3*t**2 - 2*t + 3. Calculate b(2).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {u: 5, p: 3, d: 3}. Give prob of picking 3 u and 1 d.\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = 17*f - 182. Let z be b(4). Let y = z + 184. Is y a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -z**3 + 59*z**2 - 3 - 2*z**3 + 4*z - 59*z**2 in the form o*z**3 + s + x*z**2 + v*z and give v.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 266 and 18221?\nAnswer: 133","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6\/(-2)*(-72)\/(-432)?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 60\/(-174) - 2592738\/(-218892)?\nAnswer: 23\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = 410*l - 49. Let b(y) = -149*y + 16. Let z(u) = 11*b(u) + 4*g(u). What is z(-6)?\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 499123 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express 7*c - c**4 + 48 + 0*c**4 - 108 + 57 in the form k*c + h*c**4 + o*c**3 + j*c**2 + n and give k.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1020 + 1007.29. Let g = l - 0.29. Let h = -13.5 - g. Which is the second smallest value? (a) -2\/9 (b) -2 (c) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 6336 - 6105. What is the tens digit of h?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = 2*c**2 + 55*c + 82. Let r be x(-26). Suppose k + 1 = -v - r, 5*v - 4*k + 43 = 0. What is the biggest value in v, -1\/5, -4\/7?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 40\/(-54) - 2\/(-27). Which is the nearest to v? (a) 33 (b) -3\/5 (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2653322 - 5306643 + 2653321 - s.\nAnswer: -s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 4272?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 + 81*s**2 - 697*s**2 - 67*s**3 + 2 + 63*s**3.\nAnswer: -4*s**3 - 616*s**2 + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 12 + -7. Let q(l) be the first derivative of 0*l**3 + 0*l**2 + 0*l**4 + 0*l - 2 - 2\/35*l**h. Solve q(d) = 0 for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 53*f - 837 = 28 + 36 for f.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from mleimieimmiteiii. Give prob of picking 1 l and 3 i.\nAnswer: 1\/52","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 23, 78, 167, 290?\n\"Answer: 17*c**2 + 4*c + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 182085, 364202, 546345, 728514, 910709?\n\"Answer: 13*o**2 + 182078*o - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*d**5 - 6*d + 146*d**4 - 134*d**4 + 12*d**5 - 2*d**3 - 11*d**2 - 1.\nAnswer: (d - 1)*(d + 1)*(2*d + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/25 of a day in seconds?\nAnswer: 20736","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 363 (base 7) in base 8?\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {h: 1, v: 1, x: 1, d: 1, i: 1}. Give prob of picking 1 v, 1 i, and 1 x.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 18034 is divided by 240?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2056*y - 557*y + 2605*y.\nAnswer: -8*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-18)\/(-22) + -1 + 1\/((-528)\/80).\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(288) + 4*(-1 + sqrt(288)).\nAnswer: -4 + 60*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -3754 (b) 3 (c) 1 (d) -17 (e) -1 (f) -5 (g) 2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {l: 2, c: 1, q: 2}. Give prob of sequence cql.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s**4 - 16144*s**3 - 1232712*s**2 - 2416976*s - 1200412 = 0. Calculate s.\nAnswer: -73, -1, 4111","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 247755 + -5?\nAnswer: 247750","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = 5*m - 7. What is the remainder when 2 + m\/(6\/58) is divided by 8?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d = -m + 11 + 58, -2*d = 4*m - 38. Suppose 4*o + w - 87 - 80 = 0, -o + w = -48. Calculate the remainder when o is divided by d.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -404*n + 1175 = -2057. Solve -4*b = -p + 8, -8*b + 12*b + n = -p for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*q - 5*q + 3*q)*(3 + 3 - 4)*(5 - 1 - 2) + 4*q - 2*q + q.\nAnswer: 7*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 90233053 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -1, 2\/5, -1\/4, -2\/7 in increasing order.\nAnswer: -1, -2\/7, -1\/4, 2\/5, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 26 + -37384?\nAnswer: -37359","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3462 = 4*j - n, 12*j - 16*j + 2*n = -3468. Calculate the remainder when j is divided by 58.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00377458209 to 4 decimal places.\nAnswer: -0.0038","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = n**3 - 31*n**2 + 55*n - 275. Determine b(29).\nAnswer: -362","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 15620?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1108 - 11063\/10. Let m = 29545488 + -4757004419\/161. Let r = m - -7850\/7. Find the common denominator of r and n.\nAnswer: 230","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is seven eighths of a kilogram in grams?\nAnswer: 875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 96913 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.006669 to 3 dps.\nAnswer: 0.007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is -10 greater than -89\/9?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 3 divided by -242451\nAnswer: -1\/80817","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 18692819 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5*u**3 - 166*u**4 + 2*u**2 + 87*u**4 - 2 + 69*u**4 to g*u + f*u**4 + i + x*u**3 + n*u**2 and give x.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -179, -291, -485, -761, -1119?\n\"Answer: -41*t**2 + 11*t - 149","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 66 = 5*n - 4*j, -4*n + 42 = -4*j - 22 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor 26*h + 9 - 17*h**2 + 23*h**2 - 1.\nAnswer: 2*(h + 4)*(3*h + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 0 + 15 + -177 + 168. Let h(x) be the second derivative of 0*x**3 - 1\/2*x**4 + j*x**2 - 13*x + 0. Find the first derivative of h(n) wrt n.\nAnswer: -12*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 70 a factor of 3574410?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -1 * 25772\nAnswer: -25772","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -28694 + 28700. Solve h = -28*f + 25*f for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - 2*z + 2)*(-29*z**3 + 8*z**3 - 5*z**3).\nAnswer: 52*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 3 + 7. Let x be ((-1)\/2)\/(g\/(-360)). Let h = x - 10. Does 4 divide h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q - 80 + 113 = -3*m, 3*m = -4*q + 58. Solve r = -2*v + q, -4*v = -5*r - v for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = -j**3 - 2*j**2 + 5*j + 4. Let c(y) = -9 + 21 - 3*y + 12. Let f be c(9). Calculate a(f).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10728 equal to 0.2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*r - 15 = -r for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 57*f**2 - 17*f**3 - 57*f**2 - 11*f**3.\nAnswer: -28*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 76 (base 15) to base 2\nAnswer: 1101111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m**3 - 33*m**2 + 3*m + 33 = 0. What is m?\nAnswer: -11, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2604, -4978, -7350, -9720, -12088, -14454?\nAnswer: -16818","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 123 divided by 2031.\nAnswer: 41\/677","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.3, -5, -2\/19, 25, 14944, -1 in descending order.\nAnswer: 14944, 25, 0.3, -2\/19, -1, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*l - 139*c + 137*c + 316, l - 90 = 5*c. Let p = -137 - -197. What is the highest common divisor of p and l?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = -2*i**2 + 4*i - 6. Let x be v(4). Let s = x - -26. Solve 2 + 27 = -s*l - 5*m, -10 = 5*l + m for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 10*n*v**3 - n*v**2*z - 6*n*v*z + 6*n*v + 6*v**3 - 7*z wrt v?\nAnswer: 60*n*v - 2*n*z + 36*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -2253073 (base 10) to base 12\nAnswer: -907a41","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 238 minutes before 6:57 AM?\nAnswer: 2:59 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 11 and 283544.\nAnswer: 3118984","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.19613009 rounded to 3 decimal places?\nAnswer: -0.196","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.059, -1, 0.3, -1\/2 in descending order.\nAnswer: 0.3, 0.059, -1\/2, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*j - 72 = -4*j. Let g be (-12)\/j - 34\/(-6). Let s(k) = -1 + k + g + 4 - 1. Give s(-3).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = i - 3. Let p be v(6). Let l = 114 + -108. Let c(q) = 3*q + l*q - 8*q + p. Calculate c(0).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -14, -21, -28, -35, -42?\n\"Answer: -7*y - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 256 to the power of 1\/2, to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: ((-1824)\/(120\/5))\/((160\/(-50))\/(14\/35))\nAnswer: 19\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = -13*b + 65. Let i be m(5). Let t be 16 + 2\/2 + i. Suppose -4*c - 13 + 81 = 0. What is the highest common divisor of t and c?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xuu when three letters picked without replacement from {x: 1, u: 2}?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2911 is divided by 112.\nAnswer: 111","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 62505, 250011, 562519, 1000029, 1562541, 2250055, 3062571?\n\"Answer: 62501*a**2 + 3*a + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in seventeen sixths of a millennium?\nAnswer: 34000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*z - 3*z + 515*z**3 - 652*z**3.\nAnswer: -137*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = 278*j + 282. Let m be o(-1). Sort -3, 63, -5, m, 3 in ascending order.\nAnswer: -5, -3, 3, m, 63","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = -d**2 + 24*d**3 - 3*d + 22*d**3 - 3 - 47*d**3. Give z(-2).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is r in 17*r**2 + 85*r + 10 + 148*r**2 - 107*r**4 - 93*r**3 + 8*r**3 - 68*r**4 = 0?\nAnswer: -1, -2\/7, -1\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) be the second derivative of f**4\/12 + f**3\/3 - 3*f**2\/2 - 14*f. Suppose -4*q = -0*q - 2*a + 22, 2*q + 6 = -4*a. What are the prime factors of n(q)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*t**3 - 17240*t**2 - 14878105*t - 29687290 = 0 for t.\nAnswer: -1723, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c**(-1\/2))**(-49)*(c\/c**(2\/3))**(-18))**10 assuming c is positive.\nAnswer: c**185","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -22? (a) 3 (b) -4.9 (c) -1\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 204807 is divided by 7289.\nAnswer: 715","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -447*y = -413*y - 1632 for y.\nAnswer: 48","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: (-48)\/56*35\/5\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify r*r\/r**(-4\/7)*r*r*r**(2\/25)*r**11\/(r*r\/r**(1\/2)*r) assuming r is positive.\nAnswer: r**(4603\/350)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*f = 4*f + 4*h + 22, f - 8 = h. Let l be 680\/32 + (-1)\/4. Suppose -21 + l = -f*c. Solve 2*i - 22 = 5*k - c*k, 4*i - 3*k - 16 = 0 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.0885653 - 0.4885653. Let y = -5.2 - -0.2. Which is the second smallest value? (a) 0.4 (b) y (c) t (d) -11\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -42614\/15 + 2842. Let k(g) be the third derivative of 0*g - j*g**5 - 5\/6*g**4 + 4\/3*g**3 + 0 + g**2 - 3\/10*g**6. Factor k(p).\nAnswer: -4*(p + 1)**2*(9*p - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3481885 divided by -407?\nAnswer: -8555","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is -2 greater than -23\/9?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*c - 4*c + 5*c + (c - 2*c + 0*c)*(1 - 1 + 1) - 426*c - 157*c - 56*c - 903*c as h + i*c and give i.\nAnswer: -1545","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 10902944939 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = -c. Let j(n) = 1085*n**2 - 3. What is j(w(m))?\nAnswer: 1085*m**2 - 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 4888 + 1785. Is n prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -145\/744 and -1\/183912?\nAnswer: 5701272","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 14807 + -16030. Which is bigger: t or -1231?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = -4*b**2 + 6*b + 8. Let z(w) = -3*w**2 + 7*w + 8. Let s(q) = -4*m(q) + 5*z(q). Calculate s(-7).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = 5*a**2 + 15*a + 13. Let r(p) = 6*p**2 + 15*p + 13. Let o(m) = -5*h(m) + 4*r(m). What is o(-13)?\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = -103*q**3 - 4*q**2 - q + 6. Let c be p(-4). Let l = -4445 + c. Suppose l = s + 2*w, -s + 3*s - 4218 = 4*w. Is s prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -95 and -1908246.3.\nAnswer: -1908341.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = 6*d + 4. What is m(7)?\nAnswer: 46","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = -q**2 + 5*q + 6. Calculate the remainder when 30 is divided by f(3).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -17 (base 9) in base 14?\nAnswer: -12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 65182 is divided by 21.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 51668 to the power of 1\/2, to the nearest integer?\nAnswer: 227","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 749482?\nAnswer: 2, 374741","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 630057312 a multiple of 296?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: (5 + -6)*11\/(220\/(-35))\nAnswer: 7\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4201 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 10\/45 + (-22)\/18 + 38. Let c = 131 - p. What is the tens digit of c?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-4)\/(-5))\/(1\/5). Let j = -202 - -358. Let d = 623\/4 - j. What is the second smallest value in d, s, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -29\/47909142 and -65\/89928?\nAnswer: 191636568","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) be the second derivative of -379*o**3\/2 - 433*o**2 + 545*o. What is the first derivative of u(k) wrt k?\nAnswer: -1137","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 4 in 788, -2, 0.01?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*v + 0*v - 2*v)*(0*v + 2*v + v) + v**2 + 0*v**2 + 0*v**2.\nAnswer: 4*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-200)\/80 - (-2 - (-12)\/8). Which is the nearest to z? (a) 0 (b) 2.8 (c) 2\/5 (d) -0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 360400 divided by -2650?\nAnswer: -136","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j\/(j\/j**(2\/57)*j))\/j**(-12))\/(j**8*j**7) assuming j is positive.\nAnswer: j**(-226\/57)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 57 + -40. Let q = m - 16.7. Which is the smallest value? (a) q (b) 3 (c) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*d + 6 = 0, -3*w + 3*d = 5 + 13 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -1 + (-2043)\/(-21) - (-4)\/(-14). What is the units digit of (4*(-8)\/m)\/(1\/(-231))?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let m be 6\/9 + 56\/6. Suppose m*t - 35 = 5*t. Let n = -64 + 120. Calculate the greatest common factor of n and t.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*d - 4 = 5*d. Suppose -3*t = -2*x - 4, -4*t = -0*t + 4*x - 12. Solve w = 2*l - 6, -d*l = -3*w - 2*w + t for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = 25*n - 118. Let g be r(3). Which is greater: -32 or g?\nAnswer: -32","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -1806 - -1?\nAnswer: -1805","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4040 is divided by 1.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + sqrt(2057) + 6*(sqrt(2057) - (sqrt(2057) + -1)) + 4 + 5)**2*2.\nAnswer: 836*sqrt(17) + 4836","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 4 and 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0.0561, 2\/15, 0.5, 0.02, -0.4?\nAnswer: 0.0561","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y = y - 38. Solve 1 = 5*h - y for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 77114 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -417 divided by 139.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 18947 a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x\/((x**(2\/31)\/x)\/x))\/x**(-2\/3) assuming x is positive.\nAnswer: x**(335\/93)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14091 = 34*w - 13*w. What is the units digit of w?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -58 - 54 = -3*g + 2*o, -g = -o - 38. Let h = -45 + g. Which is smaller: 0.1 or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -p**3\/7 + 8162474*p**2\/7 - 2332135*p + 8162472\/7.\nAnswer: -(p - 8162472)*(p - 1)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4679 is divided by 1505.\nAnswer: 164","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v + 0*d + 2 = -4*d, 3*v = -5*d + 11. Suppose p = v*p - 104. Is 8 a factor of p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -6 - -10. Suppose -4*s = s - k*o + 23, -s + 5 = 4*o. Let l = 4 + -2. Which is the third biggest value? (a) 4 (b) l (c) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b + 6*b - 48 = 0. What is the units digit of b?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1.2908 - -0.0092. Let h(r) = 4*r - 143. Let j be h(36). Which is the second smallest value? (a) n (b) 3 (c) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = 3*j + 2. What is the remainder when l(8) is divided by 14?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u = 2*h + 18, -6*h - 39 = -2*h + 5*u. Let i(q) = q**2 + 8*q + 8. Calculate i(h).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 108908.57844 rounded to the nearest 1000?\nAnswer: 109000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -15948 divided by 6.\nAnswer: -2658","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*s**3 - 2*s**3 + 5*s**3)*(0 + 1 + 0) + 9*s**3 + 15*s**3 + 4*s**3 + 8 + 3*s**3 - 8 to the form o + j*s**3 + f*s**2 + i*s and give j.\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.0944? (a) -0.3 (b) -0.57 (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is one fifth of a kilometer in centimeters?\nAnswer: 20000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = 9*d + 0 + 0 - 6*d. Let p(b) = b - 1. Let c(w) = -1. Let z(v) = c(v) - p(v). Let s(j) = -4*j. Let o(i) = s(i) + 6*z(i). What is h(o(q))?\nAnswer: -30*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 160 and 128?\nAnswer: 640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -324*p + 15059 + 12805 = 0 for p.\nAnswer: 86","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*v**2 + 274272*v + 1645776.\nAnswer: -4*(v - 68574)*(v + 6)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d\/(d*d**5\/d*d))\/d**(-5\/3))\/(d\/d**(7\/4)*d*d*d\/(d*(d*d**(-5)*d)\/d)) assuming d is positive.\nAnswer: d**(-103\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -122127.38012916 + -0.3\nAnswer: -122127.68012916","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 5\/2, 4\/29, -1\/4?\nAnswer: 4\/29","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1 - 2. Let b be (3 - 1)*-1 - -7. What are the prime factors of b*q*(-6)\/3?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s = 2*s + 5*m - 25, 0 = -s - m + 5. Let l(z) = 4*z + 6. Calculate the least common multiple of 12 and l(s).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 10\/((-6)\/(-9)*-3). Let w(o) = 2*o**2 + 5*o - 5. Let u be w(h). Suppose u = -v + 3*j - 290, -5*v + 4*j = 1550. Round v to the nearest one hundred.\nAnswer: -300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -4407, -4005, -3327, -2367, -1119, 423, 2265, 4413?\n\"Answer: q**3 + 132*q**2 - q - 4539","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = -3*f**3 - 3. Suppose -25*h = -683 + 583. Let x(y) be the first derivative of 3 - 3\/4*y**h + 0*y**2 - 2*y + 0*y**3. Calculate -2*q(z) + 3*x(z).\nAnswer: -3*z**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((s*s*s\/(s**(1\/3)*s))**(-25\/6))**(7\/6))**(-29) assuming s is positive.\nAnswer: s**(25375\/108)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = -k**3 - 6*k**2 + 9*k - 3. Calculate w(-7).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = 8*q + q**2 + 438*q**3 + 12 - 437*q**3 + 8*q**2. Let c = -16 - -8. Calculate the smallest common multiple of x(c) and 16.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = m**2 - 4*m - 60. Let q be o(13). Suppose -4*w + t - 79 = 0, 3*w + 3*t + q = w. Is w > -19?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i = -4*b, -i = -b + 3*b. Suppose i = 4*h - h. Suppose h*t = -4*t + 100. What is the remainder when t is divided by 13?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = 9*v. Let q be k(-3). Let y = q - -69. Suppose y = 5*r - 2*h - 64, r = 4*h + 14. Is r a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 2782683?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.189 - 0.188772. Round t to five decimal places.\nAnswer: 0.00023","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -62*g**3 + 352?\nAnswer: -186*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = 10*t + 3. Let g(f) = 9*f + 2. Let b = 161 + -148. Suppose -b*r - 4*h = -9*r + 32, -2*r - 4*h - 26 = 0. What is r*g(i) + 2*p(i)?\nAnswer: -7*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 93.465 rounded to the nearest one hundred?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 15\/(-10)*16\/(-24). Suppose 12*c = 5*c + 98. Sort j, -1, c in decreasing order.\nAnswer: c, j, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {w: 3, c: 13}. What is prob of picking 3 c and 1 w?\nAnswer: 33\/70","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 6778 and 77096361.\nAnswer: 3389","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 1 (b) -0.3 (c) 4.9 (d) -8 (e) 0\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = 2*j**2 + 2*j - 2. Suppose 1 = -12*x + 13*x. Suppose -o = -q + 7, -5*o + 4*q = x + 30. Determine m(o).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((n**(-16)*n)\/(n*(n*n**(-1\/19)\/n)\/n))\/(n**(-2\/3)*n**14))**(-43) assuming n is positive.\nAnswer: n**(69316\/57)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9635.\nAnswer: 5, 41, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.17 - -0.05714.\nAnswer: -0.11286","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11255*c**3 + 123825*c**2 - 220*c = 0.\nAnswer: 0, 4\/2251, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = -s**3 + s**2 + 6*s - 6. Let m be k(2). Suppose n - 4*n = -r - 1230, 3*n = m*r + 1230. What is the hundreds digit of n?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -14, 4, 26, 52, 82, 116, 154?\n\"Answer: 2*d**2 + 12*d - 28","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-1010)\/(-28) + -7 + 75\/10. Let g be (-3)\/(-14)*8\/3. Factor 38\/7*c + 96\/7*c**5 - s*c**4 + 272\/7*c**3 - g - 144\/7*c**2.\nAnswer: 2*(2*c - 1)**4*(3*c - 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*d + 25, 4*n + 2*d = -0*d + 110. Let k = n + -24. Let o(h) = 28*h**2. Is o(k) a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -120*n - 1379 + 2699 for n.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = b**3 + 8*b**2 - 29 + b**2 + 51 + 2*b. Let w be t(-9). Suppose 190 = 4*x - 5*l, 0*l = -2*l - w. Is x a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6\/(-75) - 117\/(-2700)*-2?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:34 PM and 2:45 AM?\nAnswer: 491","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (52\/520)\/((459\/(-18))\/(-17)).\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 860 a factor of 134070703?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*x - 1 = -5*a, -148 + 167 = -5*x - 4*a for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Divide 110 by -110214.\nAnswer: -55\/55107","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = 2908641*n. Let z(p) = -2*p**2. Calculate o(z(s)).\nAnswer: -5817282*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 142 + -424\/3. What is the nearest to -1\/7 in b, 0.1, -3\/2?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 26369812?\nAnswer: 2, 7, 61, 15439","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 67 minutes after 12:39 AM?\nAnswer: 1:46 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -17 + 17.1. Let v be ((48\/(-28))\/(-4))\/(54\/(-36)). Which is the nearest to v? (a) 11 (b) 5 (c) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = -v - 2. Let l be y(-2). Suppose 6*f - 11*f + 185 = l. What is the remainder when f is divided by 8?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-10)\/5 + 3)*(-5 - 1 - -1). Let q(d) = -d**3 - 4*d**2 + 5*d - 6. Calculate q(y).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s = 3*q - 639, -q + 2 = 1. Let i be 4\/(-14) + (2805\/110)\/((-21)\/176). Is i < s?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*i + 162 = 2*b - 6*i, -5 = -5*i. Let p be 3\/(0*1\/(-4) + 1). Suppose 5*a - 64 = -p*a. What is the greatest common factor of a and b?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = -28*c**2 - 394*c + 18824. Let h(q) = -5*q**2 - q + 1. Let b(r) = 6*h(r) - o(r). Let b(m) = 0. What is m?\nAnswer: 97","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s = -2*z + 10, z + 5*s = -0*s + 11. Let y be 441\/(-28)*(-4 - 0). Factor -y*n + 6*n**3 - z*n**4 + 2*n**5 - 2*n**2 + 63*n.\nAnswer: 2*n**2*(n - 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 57*b + 70 - 137*b + 330 + 4*b**2.\nAnswer: 4*(b - 10)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 6525440 (base 8) to base 6\nAnswer: 101243224","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 33 + -e887?\nAnswer: -e854","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n*(n*n**(-12))\/n)\/n*n*n*n**(8\/7)*n*n**8\/n**16 assuming n is positive.\nAnswer: n**(-111\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = 20*v. Let x(i) = -4*i**2. Determine x(s(o)).\nAnswer: -1600*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00014495 rounded to 5 dps?\nAnswer: 0.00014","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1 - -1. Let t = 32.3 + -14.2. Let y = t - 18. Are w and y unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 30076 - 29820. Let o(x) = -64*x**3 - x**2 + 1. Let g be o(-1). Calculate the greatest common factor of g and t.\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.15? (a) 0.1 (b) 0.7 (c) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 626445393?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o + 4*r + 0*r - 52 = 0, -3*o + 5*r = 1. Solve -2*w + 0 + o = 0 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 14580 or 58321\/4?\nAnswer: 58321\/4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 149 and 6.\nAnswer: 894","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20*h - 99495 - 74385 = 0. What are the prime factors of h?\nAnswer: 2, 3, 7, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 74930, 74921, 74900, 74861, 74798, 74705?\nAnswer: 74576","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2)\/((-3 - -4)*-1)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -187118*m**5 - 10*m**2 - 4*m + 184006 wrt m?\nAnswer: -3742360*m**3 - 20","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 2*t**2 + 1544282*t + 10661459?\nAnswer: 4*t + 1544282","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3 in -2\/13, 294, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 1243301170*h**5 + 936*h + 15180 wrt h.\nAnswer: 24866023400*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 57.07 rounded to zero decimal places?\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Product of 3176.5 and 6403.\nAnswer: 20339129.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 388217 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3687?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 115 minutes before 8:33 AM?\nAnswer: 6:38 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-477309)\/(-153))\/(-191) - (-1)\/3?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p + 4 = 2*j, 5*j - 6 = -2*p + 4. Differentiate -5*w**j - 1 + 25 + 4 + 5 wrt w.\nAnswer: -10*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 114 + -86. Suppose 2*u + 4 - 2 = 0, 4*g + 2*u - 10 = 0. Suppose -2*z = -g*z - r + t, 15 = 3*r. Calculate the remainder when 89 is divided by z.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 50 - 52. Let c be (3 - -3)*(-1 + 3)\/r. Calculate the lowest common multiple of 6 and (24 - 3)\/((-9)\/c) + -3.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-1 - -7)\/(1\/(-11)). Calculate the remainder when 52 is divided by ((-2)\/(-6))\/((-2)\/l).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*r - 3395 = -r. Is r composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -52041*h**2 - 27328*h?\nAnswer: -104082","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 s and 1 k when two letters picked without replacement from iriwkisi.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -2 + 5. Let x be l - 0 - (4 - 2). Let n be 9\/(-6) + 1 + x. Which is the smallest value? (a) n (b) -0.5 (c) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (3 - 5)*1 + 1. Let a(k) = -9*k - 8. Let f(v) = -36*v - 33. Let n(b) = 9*a(b) - 2*f(b). Let x(g) = -g - 1. Determine d*n(p) + 6*x(p).\nAnswer: 3*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 696 and 474272728?\nAnswer: 232","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (0 + -30)\/(2 + 3*-1)?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 156*41\/(-4264)*26\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (11\/(550\/15))\/(9\/4)?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 8 in 38, -2\/7, 0.235?\nAnswer: 0.235","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 4856, -11, 3, -8 in ascending order.\nAnswer: -11, -8, -4, 3, 4856","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = 3*a**2 - 5*a - 1. Let n(c) = -c**2 + 3*c + 1. Let y(p) = -2*n(p) - s(p). Let z(r) = 3*r**2 + 1. Give y(q) + z(q).\nAnswer: 2*q**2 - q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -331727, -663260, -994793, -1326326?\n\"Answer: -331533*a - 194","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is (-185598)\/(-2) + (-90)\/15 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 12\/5*(-60)\/(-9). Calculate the least common multiple of (m\/20)\/(2\/35) and (-6)\/(6\/(-21) - 132\/77).\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z - 23819 - 700 = -n, -2*n + 49006 = 2*z. Is n a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 25645.704 - 25620. Round p to the nearest integer.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1025714039 - 5.\nAnswer: -1025714044","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -23 - -67\/3. Let f = -2.7 - 0.3. Let j = 11\/10 + -3\/5. What is the closest to k in f, -4, j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1275?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = -4*s - 7. Let p = -67 - -59. Let q be j(p). Suppose -33*l + q*l + 16 = 0. Solve 5*c = l*v - 9, c + 0*c + 18 = -5*v for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6066 divided by -337?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-5)\/20)\/((-1)\/4)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 8\/21 of a week in hours?\nAnswer: 64","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7 - 18549*i**2 + 37107*i**2 - 18545*i**2.\nAnswer: 13*i**2 - 7","meta":{"dup_signals":{},"source":"polynomials__collect_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: Is 1\/17 greater than or equal to 3\/27599?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = 3*r**3 - 20*r**2 - 17*r + 225. Is t(16) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 5472 and 1728.\nAnswer: 32832","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 8163692227 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 5? (a) -12 (b) -1.5 (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = 2*i**2 + 5*i - 4. Let q be n(-5). Let h be 33\/9 + 1\/3. Suppose -84 = -h*z - y, -q + 113 = 4*z - y. Is z a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) be the first derivative of -5*w**2\/2 + 2. Let d be g(-1). Suppose 2*y = d*y - 36. Calculate the remainder when 47 is divided by y.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -110 and -1.665.\nAnswer: 183.15","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4*b**2 + 717*b - 679*b + 8*b**2 to a*b**2 + y + g*b and give a.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = -5*y**2. Let n(s) = 9*s**2 + 60*s - 129. Let w(i) = 2*i**2 + 12*i. Let t(k) = -n(k) + 5*w(k). Calculate t(l(b)).\nAnswer: 25*b**4 + 129","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = -2*c + 12. Let i(s) = -s**3 + 5*s**2 - 4*s + 2. Let h(v) = -v**2 - 19*v + 3. Let l be h(-19). Let r be i(l). Give b(r).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 970?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 175 divide 164850?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 37\/60 and 5\/12413376.\nAnswer: 62066880","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -58, -266, -612, -1096, -1718, -2478?\nAnswer: -3376","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-7288)\/(-20953) + 268\/552. Suppose n + 4*g - 5*g = 1, -n + 5*g = 11. Which is the nearest to 0.1? (a) r (b) n (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + (3 + sqrt(363) + 3 + (-5 + sqrt(363))*-1)**2 + -1.\nAnswer: 122","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 2.1, 1\/4, 33.4?\nAnswer: 2.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3293 divided by 5.\nAnswer: -3293\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = i. Suppose 40*h + 57*h - 22*h = -27*h. Let j(u) be the third derivative of h*u**3 - 3\/10*u**5 + 0*u + 0*u**4 + 0 + 5*u**2. Calculate j(r(v)).\nAnswer: -18*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 930864 a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 21.4142 rounded to zero decimal places?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = -8*v - 50. Let u be l(-7). Let b be 2\/(-6) - 2\/u*-7. Solve 4*m + 4*o - b = 14, -o = -5*m + 26 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l + 219 = -613. Let t(q) = -q**3 - 32*q**2 - 39*q - 43. Let y be t(-31). Let d = y - l. Is d composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1.26 - -1.29. What is the third smallest value in o, 1, 4\/5?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {j: 1, p: 1, d: 3, w: 2, s: 6}. What is prob of sequence sss?\nAnswer: 10\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1604201 weeks in days?\nAnswer: 1.1229407","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 633 divide 6411890577?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 v and 2 l when three letters picked without replacement from {r: 4, v: 4, l: 6}?\nAnswer: 15\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) be the second derivative of c**3\/6 + 3*c**2\/2 - 2*c. Let w be h(8). What is the third derivative of -4*f**4 + 7*f**4 + 10*f**2 - w*f**2 wrt f?\nAnswer: 72*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 8910*c*l**3*o**2 - 110*c*l*o**2 + 1002*l**3 - 2*l**2*o**2 - 45*l**2 - o**2 wrt c.\nAnswer: 8910*l**3*o**2 - 110*l*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -61*m + 8 = -57*m for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 75493594?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7\/(-49) + (-759)\/(-21) is divided by 16.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -61\/4100778 and 5\/177?\nAnswer: 241945902","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 12899596 and 416116.\nAnswer: 12899596","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 7021 times -4\nAnswer: -28084","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert -211 (base 4) to base 16.\nAnswer: -25","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 <= -29\/23447?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 63621679 to the power of 1\/6, to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = s**3 + 31*s**2 + 4*s - 6. Determine b(-6).\nAnswer: 870","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 + -1 - ((-3 - -8) + -4)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = 107620*v**3 + v**2 + 150*v - 293. Is b(2) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 127631 to the power of 1\/2, to the nearest integer?\nAnswer: 357","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 810*w**3 - 20*w**2 - 79*w - 3890429?\nAnswer: 2430*w**2 - 40*w - 79","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -123.8 + 123.7998918. What is o rounded to five dps?\nAnswer: -0.00011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -67\/5552 and 29\/35394.\nAnswer: 283152","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does 158 divide (-5)\/35 + (-464550)\/(-210)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*f - 3*f = -4*b, 2*f - 2*b + 2 = 0. Suppose -y + 12 = 2*y. Let s = -9 + y. Sort s, 3, f in decreasing order.\nAnswer: 3, f, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) be the third derivative of -o**8\/2352 - 13*o**7\/147 - 35*o**6\/24 - 50*o**5\/7 + 3*o**2 - 982. Suppose l(u) = 0. Calculate u.\nAnswer: -120, -5, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 45813382?\nAnswer: 2, 59, 199, 1951","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:08 PM and 12:59 AM?\nAnswer: 591","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + ((1*sqrt(475)*-2 + sqrt(475) - sqrt(475))**2 - sqrt(475)).\nAnswer: -5*sqrt(19) + 1897","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = 2*u**2 - 97*u - 27. Give g(0).\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence tv when two letters picked without replacement from {u: 1, b: 1, c: 1, v: 1, t: 1}.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 8\/15 of a century in months?\nAnswer: 640","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -11167750 divided by -16375\nAnswer: 682","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 702303 to the power of 1\/2, to the nearest integer?\nAnswer: 838","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is -24569 smaller than -24567?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = 6*u**2 - u. Suppose -6 = -4*b - 2. Let n(k) = -k**2 + k. Let o(a) = b*d(a) - 2*n(a). What is the second derivative of o(r) wrt r?\nAnswer: 16","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = -7*y**3 - y**2 + 5*y + 22. Let o(a) = -a**3 + a**2 - 2*a - 2. Let x(t) = 2*o(t) + r(t). What is the second derivative of x(z) wrt z?\nAnswer: -54*z + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2d68bd (base 15) in base 3?\nAnswer: -11010201121021","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 28 + -26. What is the smallest common multiple of f and 22?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -70905, -70904, -70903, -70902?\n\"Answer: u - 70906","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -1151 + -100?\nAnswer: -1251","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -39771303, -39771301, -39771299?\n\"Answer: 2*w - 39771305","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -2 - -3. Suppose n - l = -3. Let o(j) = 17*j**2. Calculate the remainder when o(n) is divided by 23.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = 68*l - 255. What is the hundreds digit of z(17)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 105 - 55 - 41*p**2 - 50.\nAnswer: -41*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3\/2 in -2\/13, -21\/5, 12?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*v + 349*g - 351*g + 62992, -2*g - 31481 = -v. What are the prime factors of v?\nAnswer: 3, 3499","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 5 (b) -0.5 (c) -6.2 (d) 2\/3 (e) -0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 214130.\nAnswer: 2, 5, 7, 19, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 12 - 11.5. Let r = -239\/280 + -1\/280. Which is the nearest to -1? (a) 0.3 (b) r (c) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + (-4*2*sqrt(66))\/(2*sqrt(216) - sqrt(216) - sqrt(216) - sqrt(216) - sqrt(216)).\nAnswer: 2*sqrt(11)\/3 + 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1138 - -1143. Is w bigger than 94\/15?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from gmgggrjiij. What is prob of sequence ijij?\nAnswer: 1\/1260","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 11656, 11623, 11560, 11461, 11320?\nAnswer: 11131","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = h**3 - 7*h**2 + 3*h + 4. Let f be o(6). Let y = 16 + f. What is the units digit of y?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2302402 (base 8) to base 3\nAnswer: 1011200210110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 29397562 to the power of 1\/9, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*p - 4*z + 2 - 6, 5*z + 2 = 3*p for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -2201 (base 7) in base 13?\nAnswer: -485","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert -23 (base 4) to base 8.\nAnswer: -13","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = 5*y**2 + 11*y + 23. Let o = 12 + -4. Let x(u) = 2*u**2 + 4*u + 8. Let j(t) = o*x(t) - 3*m(t). Let v be j(6). Is 126\/5 >= v?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 588 and 6941364?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -8 - ((4 - 4) + -2 - 2)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = -p**3 + 6*p**2 - 3*p - 4. Let z(f) = f - 3. Suppose 0 = -4*h + 2*g + 7 + 17, 3*h - 40 = -4*g. Let r be z(h). Give n(r).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) be the first derivative of n**3\/18 - n**2\/3 + n\/2 + 3. Suppose w(x) = 0. Calculate x.\nAnswer: 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = -3*j - 33. Let x = 12 + j. Suppose 3 = -2*p + 9. Solve p*q + 20 = x*n, 6*n = -3*q + 3*n + 12 for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 2566.1 to the nearest 100.\nAnswer: 2600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 83726?\nAnswer: 2, 41863","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*(4*sqrt(425)*3 - (sqrt(17)*-1 + -4 + sqrt(1377)*2))*-1)**2.\nAnswer: 8600*sqrt(17) + 786225","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 193423 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3\/8*v**4 + 0 + 21\/2*v**2 + 0*v - 9\/2*v**3.\nAnswer: -3*v**2*(v - 2)*(v + 14)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*m + 3 = -11*m + 173 for m.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*k - 62 = -49*u, 4*u - 3*k - 238 + 266 = 0 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 15641 + -8358. Is d a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 0.1 from 8017312.242.\nAnswer: 8017312.142","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -136*c - 136*c - 121*c + 412*c = 1121 for c.\nAnswer: 59","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(2\/15)*q**4)\/(q\/(q**4*q)*q**24) assuming q is positive.\nAnswer: q**(-238\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round -6655964 to the nearest ten thousand.\nAnswer: -6660000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -156 - -158. What is the second derivative of 12*t**2 - 7*t**2 + 3*t + 2*t - 4 + 50*t**m wrt t?\nAnswer: 110","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 170993 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k + 52 = -4*w - 88, 3*k - 5*w = 212. What are the prime factors of k?\nAnswer: 2, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = -130*n**2 + 1592*n - 27. Give u(12).\nAnswer: 357","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 253 - 326. Let r = 42 + -85. Let l = g - r. Which is bigger: -2 or l?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 20715691 to the power of 1\/2, to the nearest integer?\nAnswer: 4551","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(54)\/sqrt(81) + sqrt(6) - sqrt(6))\/(sqrt(3) + sqrt(3) + sqrt(300)*2))**2.\nAnswer: 1\/2178","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) be the third derivative of -q**6\/120 + 7*q**5\/30 + 3*q**3\/2 - 4*q**2. What is the lowest common multiple of c(14) and 5?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*j + 2 = -g, -3*j - 2*g = 5 - 22 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -13, -15, -13, -7, 3, 17, 35?\n\"Answer: 2*y**2 - 8*y - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Do -524717\/29 and -18094 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = 10*r**3 + 4*r - 4. Let m(o) = 90*o**3 + 35*o - 35. Calculate -4*m(l) + 35*s(l).\nAnswer: -10*l**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = -7*a**2 - a + 4. Let t(m) = -4*m**2 - m + 2. Let x(o) = o**2 - 27*o + 23. Let d be x(26). Determine d*u(g) + 5*t(g).\nAnswer: g**2 - 2*g - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 48*y - 42 = -90 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:59 AM and 12:56 PM?\nAnswer: 117","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**1\/t)**42*(t\/(t\/(t*t**8)))\/t*t**(1\/8)*(t**(-1\/4))**24*((t\/(t\/(t**(-6)\/t)))\/t)\/(t*t*t**(-4)) assuming t is positive.\nAnswer: t**(-31\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 99 and 9189631?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f = 2*m + m - 64, 31 = 2*f + 3*m. Let i = -296 - -398. Let w = i - 99. Which is the second biggest value? (a) w (b) -1\/3 (c) 0.2 (d) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 3\/29, 1\/3, 0.2 in descending order.\nAnswer: 1\/3, 0.2, 3\/29","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 17*i - 30*i + 181*i to the form r + m*i and give m.\nAnswer: 168","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 9 + -3. Let a(x) = x**3 - 7*x**2 + 5*x - 1. Let z be a(r). Let i(y) = y**2 + 6*y - 11. Let v be i(z). What is the closest to 1\/5 in v, 1\/4, -1?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c = c + 40. Let s be -2 - (-268)\/(-9) - c\/90. Is 0 + (3 - s) + 1 a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*c = 45*c - 21*c. Let u(n) = -2*n**2 - n + 2. Let w be u(c). Solve w*y + y - 5*l = 19, 15 = -3*l for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 509.05 in -2\/27, -0.3, 2, 2\/3, 0.3?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = -6*t**2 + 159*t + 90. Give g(27).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -121222122 + 1202?\nAnswer: -121220220","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 108\/(-22) - ((-193698)\/(-561))\/(-211)?\nAnswer: -36\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*(3*sqrt(180) + sqrt(180)))\/(sqrt(16) - (sqrt(176)*3)\/sqrt(11)) + 3.\nAnswer: 3 + 6*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c - 29 = 9. Let b = -16 - c. Solve -4*u + b*u = 0 for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(117)\/(sqrt(36)*-3))**2 + sqrt(13) + sqrt(156)\/(sqrt(12)*1) + 4.\nAnswer: 157\/36 + 2*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f\/(f**(-10)\/f)*f**30)**(-11) assuming f is positive.\nAnswer: f**(-462)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert 69.021834 days to weeks.\nAnswer: 9.860262","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 543*q**2 + 1 - 1 - 69043*q + 69043*q.\nAnswer: 543*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + (-4 + -4 + 2*(-1 + sqrt(153))*-4)**2 + 0.\nAnswer: 9795","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -320 divided by -5\nAnswer: 64","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 124712, 125820, 126928, 128036, 129144?\nAnswer: 130252","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4195 is divided by 1092?\nAnswer: 919","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*m + 3*f + 33, 2*f = 2*m + 33 - 51 for m.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) be the first derivative of 1\/12*q**4 - 5\/9*q**3 + 4\/3*q**2 - 4\/3*q + 2. Factor d(x).\nAnswer: (x - 2)**2*(x - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 20999 and 461120?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 r and 1 z when two letters picked without replacement from {r: 4, z: 16}.\nAnswer: 32\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 1 (b) 5 (c) 217\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 2238 - -4555. Is g a multiple of 29?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 611 minutes before 5:38 PM?\nAnswer: 7:27 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 15078926 to the power of 1\/4, to the nearest integer?\nAnswer: 62","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 355.99517 + -356. Round q to 4 decimal places.\nAnswer: -0.0048","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0502119 microseconds in seconds?\nAnswer: 0.0000000502119","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -48 at least 2\/7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 2, i: 4}. What is prob of sequence vi?\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 u and 1 a when three letters picked without replacement from {z: 1, a: 1, t: 2, x: 1, u: 2}.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1776\/11 - 162. Let z be (5\/5)\/((-7)\/2). What is the nearest to -0.1 in -0.4, b, z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.001 + -0.41\nAnswer: -0.409","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 2382899\/65 + -36661. Find the common denominator of y and 56\/1235.\nAnswer: 1235","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 21 + 4. Let f = -9 + s. What is the remainder when 47 is divided by f?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 1412, 1361, 1236, 1001, 620, 57, -724?\n\"Answer: -6*s**3 - s**2 - 6*s + 1425","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w - 664 = -5*f, 3*w + 394 = 3*f + 2*w. Let b = f - 94. Calculate the remainder when 149 is divided by b.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = -5*c**3 + 26*c**2 - 7*c + 2. Let z(a) = 6*a**3 - 19*a**2 + 7*a - 1. Determine 3*h(q) + 4*z(q).\nAnswer: 9*q**3 + 2*q**2 + 7*q + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -16*p + 26 + 22. Let r be (3 + (4 - p))\/(11\/4). Which is greater: r or 0?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i = o + 75, -93 = o + 4*i - 6*i. What is the common denominator of -3\/49 and (o\/(-8))\/((-189)\/(-9))?\nAnswer: 392","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 - -1*2*(-33)\/66?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -111043 + -122035?\nAnswer: -233122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v = 81 + 334. Let d = v - 247\/3. Let j = -5 - -6. Is j bigger than d?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.4892 - -0.4891401. What is i rounded to four dps?\nAnswer: -0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 25 + -28. Calculate the common denominator of -17\/11 and (48\/(-160))\/(s\/29).\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 e, 1 u, and 2 l when four letters picked without replacement from aluleahaleeahaaaaa.\nAnswer: 1\/340","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 444 is divided by 352?\nAnswer: 92","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {t: 1, l: 2, b: 1, u: 1, q: 4}. Give prob of picking 2 l, 1 b, and 1 u.\nAnswer: 1\/126","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 1002563 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(1377) - sqrt(1377)*-2) + 4 - (-5 + sqrt(1377) + 0 + sqrt(1377)))**2 + -2.\nAnswer: 162*sqrt(17) + 1456","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 6732 a multiple of 34?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 8\/(-380)*5\/(-1). Let f be 5 - (12 - 6 - 3). What is the third smallest value in i, -1\/5, f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = -5*q + 4*w, -8*w + 8 = -4*q - 4*w. Let v be (-2)\/8 - (-82)\/8. Suppose q = i + 4*i - v. Calculate the greatest common divisor of i and 1.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -595 + 1193 - 23*b - 596.\nAnswer: -23*b + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -0.2162298503852 and -61?\nAnswer: 60.7837701496148","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -306 divided by -6\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -32.7 + 33. Put l, 2\/3, 2 in increasing order.\nAnswer: l, 2\/3, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -8345\/321349 + 3913656911629\/5462933. Let y = p - 716868. Let j = y + 466. Which is the second biggest value? (a) 0 (b) 3 (c) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -1\/2 (b) -23 (c) -4\/108801\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 3340?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 4565698 to the power of 1\/10, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.395 + 0.005. Which is the nearest to 0? (a) m (b) -0.1 (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 43526*j**5 - 15*j**4 - 2*j**3 + 97*j**2 + 18088*j wrt j.\nAnswer: 2611560*j**2 - 360*j - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = 2*x**3 - 3*x**2. Let b(r) be the third derivative of r**6\/60 - r**5\/15 - r**4\/24 - 2*r**2 + 95*r. Calculate -3*b(p) + 4*k(p).\nAnswer: 2*p**3 + 3*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r*r*r**(-39))**(2\/11)*r**(1\/41)*r**(-15\/7) assuming r is positive.\nAnswer: r**(-27926\/3157)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 342 + 4?\nAnswer: 346","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = -t**3 + 7*t**2 + 4*t + 2. List the prime factors of d(6).\nAnswer: 2, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1, -10, -25, -46, -73?\nAnswer: -106","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 38 minutes after 6:02 PM?\nAnswer: 6:40 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 38.06481ml in litres?\nAnswer: 0.03806481","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-57)\/(-30) - (176 + -174). Let l = -1 + 0. Which is the closest to -1? (a) -4 (b) l (c) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine i so that -2*i**2 + 44*i + 150 = 0.\nAnswer: -3, 25","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 139370175*o**5 + 186810745*o?\nAnswer: 2787403500*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = 27*j**2 - 7*j - 2. Let i be m(5). Let n be 50*(-2*1 - i). What is n rounded to the nearest ten thousand?\nAnswer: -30000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.1, 3485, -2, -7, -0.3.\nAnswer: -7, -2, -0.3, 0.1, 3485","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -0.2, -2\/3, 8, 1, -5, -3?\nAnswer: 8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = d**3 - 10*d**2 + 8*d - 11. Let g be z(9). Let b(q) = 5 + 23 + 21*q + 2 + q**2. Let r be b(g). Solve l - r = 3*u, 6*u - 10 = -4*l + 3*u for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 55, 163, 343, 607, 967, 1435?\n\"Answer: 2*r**3 + 24*r**2 + 22*r + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1246615 (base 8) to base 6.\nAnswer: 11240541","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a + 2*o + 2 = 5*o, 5*o = -3*a - 6. Let s be -3*a\/(-8) - -3. Which is bigger: 2 or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 162\/11, -5, -1\/3, 0.3, 26\/5 in decreasing order.\nAnswer: 162\/11, 26\/5, 0.3, -1\/3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*j**5 - 12*j**4 + 116*j**3 + 400*j**2 + 414*j + 140.\nAnswer: -2*(j - 7)*(j + 1)**3*(j + 10)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p + 4*v + 18 = 0, -2*p + 3*v = v - 12. Let z(w) = 9*w**3 + 7*w**2 + 9. Let a(r) = -4*r**3 - 3*r**2 - 4. Give p*z(t) + 14*a(t).\nAnswer: -2*t**3 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.05 + -3.95. Which is the smallest value? (a) 5 (b) -3 (c) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4*z - 5 - 5*z**3 + 2*z**3 - 3*z to t + l*z**3 + a*z + d*z**2 and give l.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*k = -244 + 234 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 4276 - 270?\nAnswer: 4006","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 10 + -112021?\nAnswer: -112011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*b - l + 3, -26*b = -24*b - 5*l + 15 for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 370376 - 149?\nAnswer: 370228","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 1\/(3\/(-4))*-18. Let q be 1*(-1)\/((-2)\/h). Suppose -2*f - s + 51 = -6, -q = -f + 5*s. Calculate the highest common factor of f and 9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {q: 3, k: 3, j: 1, g: 3, a: 1}. What is prob of picking 1 a, 1 j, and 2 g?\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*a + 2*a + 4*a + 2*a)*(-552 - 66 + 70).\nAnswer: -4384*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 157\/169680 and 3\/2828.\nAnswer: 169680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 16596?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 >= 952\/13179?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}