diff --git "a/data/dm_maths/full_data_1/10811_11255.jsonl" "b/data/dm_maths/full_data_1/10811_11255.jsonl" new file mode 100644--- /dev/null +++ "b/data/dm_maths/full_data_1/10811_11255.jsonl" @@ -0,0 +1,10000 @@ +{"text":"Question: Let s(k) be the third derivative of 3*k**2 + 0*k + 0 + 1\/30*k**5 + 0*k**4 + 0*k**3. Let t(n) = -4*n**2. Give s(t(v)).\nAnswer: 32*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*y - 10*y - 12 = 0. Suppose -5*r + 4*t = -405488, -3*t = y*r - t - 162206. Round r to the nearest 10000.\nAnswer: 80000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 82911111 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*o + 4*g, 4*g = -2*o - o. Let x(j) = -j**2 + 5. Let k be x(o). Let -2*a**3 + 3*a**k + 5*a**5 + 0*a**5 + 5*a**4 + a**4 = 0. What is a?\nAnswer: -1, 0, 1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (2 - -3) + -2 - 5?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 16, 18, -1?\nAnswer: 18","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 655.\nAnswer: 5, 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10*o - 3495*o**3 - 10919 + 10919.\nAnswer: -3495*o**3 - 10*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -275.52 - -276.2. Put n, -1\/5, -1 in increasing order.\nAnswer: -1, -1\/5, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -205465, -821830, -1849103, -3287284, -5136373, -7396370, -10067275?\nAnswer: -13149088","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 0.0895 times -0.5\nAnswer: -0.04475","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 13697651?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = 3*r**2 - 2*r. Let m(k) = 28*k**2 - 19*k. Let y(w) = 2*m(w) - 19*p(w). Let x(c) = -1173*c. Give y(x(f)).\nAnswer: -1375929*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = i**3 + 9*i**2 + 13*i - 7. Let g be s(-7). What is the closest to g in -3, 0.5, -4?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2406230923 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -154 = -2*f - 134. Suppose -f*t = -4*t + 30. Which is the second smallest value? (a) t (b) 0.2 (c) -18 (d) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 143\/7203228 and 7\/120?\nAnswer: 72032280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 459 is divided by 21.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert -10625 (base 8) to base 12.\nAnswer: -2731","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from tzgabar. What is prob of sequence rt?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Determine l, given that 0*l**2 + 1\/3*l**4 + 35\/3*l**3 + 0 + 0*l = 0.\nAnswer: -35, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -301 + 302. Is s > -5\/13?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 74*u + 19*u - 5961*u**2 - 93*u.\nAnswer: -5961*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + -1*sqrt(425) + -2)**2.\nAnswer: 60*sqrt(17) + 461","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is (-6)\/(30\/(-5))*-1?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 77210978?\nAnswer: 2, 13, 467, 6359","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 divided by -1719756?\nAnswer: 1\/429939","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 37326696 and 340.\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 71\/10 and -44\/1814365.\nAnswer: 3628730","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) be the first derivative of -w**5\/5 + w**4\/4 + w**3\/3 - w**2\/2 + 7. Suppose p(f) = 0. Calculate f.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 140 and 525.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-3012)\/(-450))\/(2796\/(-1135)). Let z = i + -6\/1165. What is the common denominator of z and (-71)\/(1 - 3 - 2)?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-15)\/(-25)*6\/(-3)*22\/((-66)\/75)?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6 - (5 + -5 + -8) - 4.\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 16215 to the nearest integer?\nAnswer: 127","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = -r**3 - 4*r**2 + 14*r + 12. Let x be y(-6). Let z be 5 + -2 - (-1 - -2). Solve x = 2*k + z*k + 12 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 9*-412901.9\nAnswer: -3716117.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 96 - 94. Solve -2*m - i = -5*g, 5*m - g - 4*g = -5 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from bnibijbbbbip. What is prob of sequence jn?\nAnswer: 1\/132","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 3\/(4 + -1) + (4 - -21). What is the highest common factor of 26 and p?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 176 or 179?\nAnswer: 179","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 3198.95 centuries?\nAnswer: 3838740","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of -18*((-35)\/10 + -1)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n - 4 = -n. Let v = 233 - 233. Suppose -r - n*r - 9 = v. Which is the second smallest value? (a) r (b) 1 (c) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 45*u = 30*u + 153000. Suppose 97*b - u = 80*b. Does 20 divide b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in thirteen quarters of a microsecond?\nAnswer: 3250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10210112011 (base 3) to base 13.\nAnswer: 28033","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1955?\nAnswer: 5, 17, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.98667 rounded to one decimal place?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 281 is divided by -1 + 1\/3 + 9700\/582?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0 or -1\/2040958?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -1*-6.85\nAnswer: 6.85","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 4628699 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = 6*w. Let x(p) = p - 1. Let o(v) = -2*r(v) + 22*x(v). Calculate the smallest common multiple of o(7) and 20.\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 10111010001011000000100 (base 2) to base 16\nAnswer: 5d1604","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -7c9 (base 14) in base 9?\nAnswer: -2111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 79\/159069 and -40\/417.\nAnswer: 22110591","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {f: 7, a: 2, j: 11}. Give prob of sequence jfa.\nAnswer: 77\/3420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(6*(-3*(sqrt(2) + sqrt(162) + 1) - (-2*sqrt(8) + -5)))**2*-1.\nAnswer: -48816 + 3744*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -97 = -a + 224. Is a a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -32561 - -32992. Solve f*b - 433*b + 12 = 0 for b.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 61562197?\nAnswer: 41, 43, 34919","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wf when two letters picked without replacement from {e: 6, n: 1, f: 1, b: 2, w: 1, a: 5}.\nAnswer: 1\/240","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = s**2 + 9*s + 10. Let p be j(-7). Find the common denominator of 93\/10 and 1892\/120 + p\/(-10).\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) be the first derivative of g**2\/2 - g - 3. Let t be h(0). What is the remainder when 11 is divided by t\/2 - (-99)\/22?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = j**3 - j**2 - j + 3. Let h be c(0). Let x be -2*h\/6 - 1. Is -4\/7 less than x?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (9421 - 9421 - 454*f)*((-4 - 1 + 4)*(-2*f + f + 2*f) + 3*f - 6*f + f) as s*f + w + t*f**2 and give t.\nAnswer: 1362","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 261 is divided by 33.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 174168052*c**3 + 8*c - 15991408 wrt c?\nAnswer: 1045008312*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 267.7 rounded to the nearest 10?\nAnswer: 270","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -44, -72, -162, -350, -672, -1164, -1862?\n\"Answer: -6*k**3 + 5*k**2 - k - 42","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 44 + -91. Let c = 2.862 - 2.662. What is the nearest to -1 in c, -0.3, q?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = k**2 + 134*k + 3407. Determine n(-94).\nAnswer: -353","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20*n - 3*p = -9*n - 22, 3*p - 32 = 29 - 61 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is -11 less than 21?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 36 and 24.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 2, x: 4}. Give prob of picking 2 x.\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 338648?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 663 and 351.\nAnswer: 5967","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put 24, -142, 470 in ascending order.\nAnswer: -142, 24, 470","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-3)\/((-17)\/7 + 2). Suppose y*c - 708 = -190. Suppose c = -s + 193. What are the prime factors of s?\nAnswer: 7, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -11908987, -11908986, -11908985?\n\"Answer: a - 11908988","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*g = -11*g + 2*l - 40, 2*l = 3*g - 24. What are the prime factors of g?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = -7*n + 18. Let y be q(2). Let a(t) = -6*t**2 + 21*t. Let w(d) = d**2 - 4*d. Calculate y*a(p) + 21*w(p).\nAnswer: -3*p**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -208 = -11*n + 8*n + 2*o, -5*n + 5*o + 355 = 0. Calculate the remainder when n is divided by 23.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2 - x - 14 - 2*x.\nAnswer: -3*x - 16","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -405, -803, -1201, -1599, -1997, -2395?\n\"Answer: -398*h - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-61)\/((-5307)\/580)*54\/8.\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) be the first derivative of -5*k**6\/3 + k**4 - 117*k**2\/2 + 83. What is the second derivative of x(l) wrt l?\nAnswer: -200*l**3 + 24*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {e: 1, f: 1, c: 2}. Give prob of picking 1 e and 3 c.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (18*j - 123 + 123)*(0 + 0 + 2*j)*(12 - 12 + 3*j)*(-3*j**2 + 0*j + 0*j).\nAnswer: -324*j**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 78 - -84. List the prime factors of v.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -o = -4*o + 12 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put together 996638 and -224812.\nAnswer: 771826","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -66, -553, -1862, -4401, -8578, -14801, -23478, -35017?\nAnswer: -49826","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -4471 and -2.04.\nAnswer: 9120.84","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -1.7, 245, -2\/7?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s + 5 = -1, 4*g + 490 = s. What is the tens digit of g\/4*1*6\/(-3)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = 2*w**2 - 38*w - 312. Let v be y(49). Calculate the highest common factor of 144 and v.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 8\/(-14)*(-6 - 1).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) 11 (b) -2\/5 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = -v - 1. Let n be 93*(5 + (-155)\/15 + 5). What is g(n)?\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -44*r + 94113 + 72779. Is r a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = s**3 - 3*s**2 + 2*s - 1. Suppose -4*o + 36 = -4*c, -3*o + 0*c + 17 = -c. What is the remainder when m(o) is divided by 13?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k = -4*m + 3390 + 533, 0 = -5*k - 2*m + 19669. Is k a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 36*s + 115 = 403 for s.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 112 and 56.\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -3.8, -3, -2?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -34115, -11664, 10787, 33238?\nAnswer: 55689","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(72))\/sqrt(6) + 4 + 2 + sqrt(12).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h - 5*w - 400 = 0, 5*h + 4*w - 677 = 2*w. What is the hundreds digit of h?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-21)\/15 - -1 - 528\/(-20). Factor -31*i**2 + 10*i + x*i**2 - 16*i - 34*i.\nAnswer: -5*i*(i + 8)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = -q + 3. Let i be z(5). Let o be 2 - (0\/i)\/(-2). Differentiate 3*g + 2*g - o*g - 2 wrt g.\nAnswer: 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*l**4 - 20*l**3 + 18*l**2 = 0. What is l?\nAnswer: 0, 1, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 1005, 995, 989, 999, 1037?\n\"Answer: 2*o**3 - 10*o**2 + 6*o + 1007","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*t = 25 - 53 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 3431, 6861, 10293, 13727, 17163?\n\"Answer: v**2 + 3427*v + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 48\/7 and -57\/274?\nAnswer: 1918","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*sqrt(80)\/sqrt(4))\/((sqrt(80) - (sqrt(80)*1 - sqrt(80)))\/sqrt(8)).\nAnswer: 5*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 1\/2, 1, 47?\nAnswer: 47","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put -9, -1287, -145, 2 in decreasing order.\nAnswer: 2, -9, -145, -1287","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-4557)\/(-310))\/(-49))\/((-54)\/4)?\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 4597235 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3 + (-5 - (36 + -25 + (1 - 0))).\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 19753928 is divided by 294.\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-44)\/(-6))\/(3\/54). What is the greatest common divisor of f and 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = 2*w - 6. Let g be r(4). Let y = g - -2. Is y a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 66 = -5*x - 2*y - 92, 215*y - 328 = 4*x + 219*y for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = -6*m + 4. Let y(s) = s - 4. Let v be y(2). What is the smallest common multiple of f(v) and 24?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-20)\/6)\/(2\/(-3)). Let i(y) = 2*y - 7*y**2 - 4 - y**3 - 4*y - g*y. Let u be i(-6). Solve r - 1 - u = 0 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 138, 159, 180, 201, 222, 243?\nAnswer: 264","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -996785, -1993574, -2990363, -3987152, -4983941?\nAnswer: -5980730","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2\/6*57\/(-209)?\nAnswer: -1\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25*z + 5 = -24*z. What is the second derivative of -28*k**5 + 35*k - 36*k + 6*k**z - 10*k**5 wrt k?\nAnswer: -640*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -421, -423, -425, -427, -429?\n\"Answer: -2*p - 419","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is (-18)\/99 - (-65463)\/11 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.8101653 centuries to decades.\nAnswer: 8.101653","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 6 - 4. Let u = -2 + 6. Let y = u - x. What is the nearest to -1\/2 in -1\/8, 5, y?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*q**3 + 4*q**3 - 3*q**3 + (-q + 0*q - q)*(q - q**2 - q))*(1 + 33*q - 79*q + 41*q).\nAnswer: -5*q**4 + q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 605 - 600. Let a(t) = -t - 3*t + 2*t - 5 - 7. Let u be a(-11). Solve g*w - 20 = -0*h + h, 3*w = 5*h - u for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 8 - 6. Suppose 1 = -i*v + 11. Solve -5*o + 4*a = 23, v*o + 4*a - 2 = -9 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 785, -0.3, 5, -0.01 in ascending order.\nAnswer: -0.3, -0.01, 5, 785","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 13795440 is divided by 988.\nAnswer: 984","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert 14034043 (base 5) to base 14.\nAnswer: 3a19d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7 - (-10 + 5 + -2).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify p**(2\/41)\/(p*p\/(p**23*p)*p) assuming p is positive.\nAnswer: p**(863\/41)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 25836 is divided by 12916.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 95*c - 35 - 60 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = 3*r**2 - 28*r - 16. What is the tens digit of p(-12)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-260)\/36 - (-2)\/9. Let z be p\/(-20) + 2\/5. Let u = 1 + -0.8. Which is the nearest to u? (a) 3\/2 (b) z (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 101011101100000 (base 2) in base 5?\nAnswer: 1203433","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t = 2*g + 12, -5*g = -g - 12. Suppose 19 = i - 2*o, 3*o = -t*i + 2*i + 32. Suppose -i*q + q = -20. Solve 2*k - 2*s = 16, 3*k = -0*k + q*s + 20 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 + (-4 - 0) + 6?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 1298\/14 - (5 + -3). Let q = c - 91. Let a be (-2 - (-4 + 2))*(-2 + 1). Is q equal to a?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4\/7, -22, -2\/13, -5, -0.1 in descending order.\nAnswer: 4\/7, -0.1, -2\/13, -5, -22","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-6*98\/420)\/((-1)\/(-5))?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 790 - 788. Let n be -259*(-2 - (-4)\/4). Suppose -351 = -3*a + 3*w, -b*a + 2*w = 5*w - n. What is the units digit of a?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = -u**3 + 10*u**2 - 20*u - 20. Let c be x(6). Solve 3*m - c*m = 6*m for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-3)\/7 - -2*(-580)\/(-28). Solve 0 = 47*c - d*c - 12 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = w. Let x(q) be the first derivative of -76\/3*q**3 - 1\/2*q**2 - 5 + 0*q. Give s(x(c)).\nAnswer: -76*c**2 - c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2*0.53.\nAnswer: -1.06","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.24 + -3.64. Let o = f + 3. What is the closest to -0.1 in o, 0.3, -2\/15?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 485259352 to the nearest integer?\nAnswer: 22029","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3 + 55*r**2 + 1 + 56*r**2 + 51*r**2 - 182*r**2 - 1.\nAnswer: -20*r**2 - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {k: 2, e: 1, i: 2, v: 1, z: 2, x: 1}. Give prob of picking 2 z and 1 k.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -263 times -1.055?\nAnswer: 277.465","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d + 141 = 2071. Suppose -4*o + f - d + 6234 = 0, -3*f + 5832 = 4*o. What are the prime factors of o?\nAnswer: 3, 487","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 b and 1 o when four letters picked without replacement from abassnnnbsbnsnababo?\nAnswer: 5\/1938","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = -3*h**2 - 55*h - 95. Calculate g(-27).\nAnswer: -797","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 205 + -206. What is the nearest to -1 in z, -0.3, 5, 15?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 157300 to the nearest integer?\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 209841 to the power of 1\/10, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of a*s**3*y - 9*a*s**3 - a*s**2 + 317*a*s + 2*a + 24*s**3 + 59643355*s**2*y - 4*s wrt y?\nAnswer: a*s**3 + 59643355*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1171\/156 - -35\/6. What is the common denominator of o and -43\/325?\nAnswer: 1300","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = -3*s. Let q(y) = 176*y. What is k(q(c))?\nAnswer: -528*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 2430.4 + -2431. Let f = -9 - -5. Put f, -1, j, -2\/9 in ascending order.\nAnswer: f, -1, j, -2\/9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 85011?\nAnswer: 3, 43, 659","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {b: 6, l: 4, f: 4, e: 1, t: 1}. Give prob of picking 1 t, 1 f, and 1 e.\nAnswer: 1\/140","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 39861 is divided by 44?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 541506 a multiple of 74?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 23205 and 777049.\nAnswer: 91","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 137239 is divided by 7.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round 187762.654 to the nearest 1000.\nAnswer: 188000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 42550956?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -78096686*n*t**2 - 228*n*t - 109*n + 293*t wrt t.\nAnswer: -156193372*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-2297960)\/6 - 7) + (-9)\/(-27). What is y rounded to the nearest one million?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 56 divide 5476?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(5 + (((sqrt(2) + -2)*-1)**2 - 1*sqrt(10)\/sqrt(5))).\nAnswer: -55 + 25*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 2067618101 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*m**2\/4 - 945*m\/4 - 1617 = 0.\nAnswer: -308, -7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -87.4 and 211.28.\nAnswer: -18465.872","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -50*h**2 + 157*h**2 + 4*h**2 + 203*h**2.\nAnswer: 314*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = -15*j**2 + 14*j + 4. Let u(t) = -22*t**2 + 21*t + 6. Calculate -8*r(o) + 5*u(o).\nAnswer: 10*o**2 - 7*o - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = 8*q + 13. Let d be a(5). Suppose -2*k + k = d. Let b = k - -126. What are the prime factors of b?\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 2745539 and 12\/13 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:28 AM and 11:10 PM?\nAnswer: 702","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = 30*f - 33. Let a(m) = 534 + 535 + 0*m - 1074 + 5*m. Let g(w) = -4*w + 4. Let z(q) = 3*a(q) + 4*g(q). Calculate 2*n(o) + 66*z(o).\nAnswer: -6*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1 or 230?\nAnswer: 230","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/34874 less than or equal to 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.48029 tonnes to milligrams.\nAnswer: 480290000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1211 is divided by 38?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4894 is divided by 38?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/5 in -3\/4, 1.1, -2\/3, -4\/3?\nAnswer: 1.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9*b - 11*b + 12*b.\nAnswer: 10*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 219*z + 143 - 5070 - 157 = 8275 for z.\nAnswer: 61","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 23239071.\nAnswer: 3, 19, 37, 3673","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-8)\/(-3))\/8*-3?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -22.56 - -22. Let j = b + 0.26. Let q = -2.01 - -0.01. What is the smallest value in 2, q, j?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -17839342, -17839344, -17839346, -17839348, -17839350?\n\"Answer: -2*f - 17839340","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -924567 divided by 32?\nAnswer: -924567\/32","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence re when two letters picked without replacement from eedtadrz.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 59484 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 0 + -4*2*-1. Let a be (-10)\/r*2\/(-5). Suppose 5*l + 12 = 9*l. What is the biggest value in l, a, -2?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.85 - -2.12. Let j = 0.27 - u. Let t be (-34)\/28 + 8\/(-28). Which is the second biggest value? (a) j (b) -0.5 (c) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 1, 0.2, -4, -133?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from svssssvvsvs. What is prob of picking 4 v?\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3550334 is divided by 64.\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 45, 494, 1733, 4158, 8165, 14150?\nAnswer: 22509","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 + -43 + (-37 - -85)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 842260 to the power of 1\/2, to the nearest integer?\nAnswer: 918","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 93576 less than or equal to 95899?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is (64\/(-72))\/(-2)*-3*6?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express -2 + 2 - 3*f - f**2 + 5*f + 8 in the form s + j*f + p*f**2 and give p.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = k**5 - 2*k**4 + k**3 - k**2 - 1. Let z(d) = -6*d**5 + 18*d**4 - 12*d**3 + 3*d**2 + 3. Let j(p) = -3*u(p) - z(p). Determine i so that j(i) = 0.\nAnswer: 0, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 d, 1 h, and 2 w when four letters picked without replacement from dwwdddwhdwwdhwwwdd.\nAnswer: 112\/765","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort 54, -2, -12, -81, -5.\nAnswer: -81, -12, -5, -2, 54","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 4*c**3*q + 1657*c**3 + 80*c*q wrt q.\nAnswer: 4*c**3 + 80*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 493a (base 15) to base 8\nAnswer: 36334","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0.51, 1\/4, 9, 4?\nAnswer: 0.51","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -90 + 116. What is the remainder when c is divided by (7\/3)\/((-3)\/(-9))?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 8 (b) -5 (c) -6380 (d) 3\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y - 158 - 28 = 0. List the prime factors of y.\nAnswer: 2, 3, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -6, 5, 24, 51, 86, 129?\n\"Answer: 4*j**2 - j - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -k - 7*h = -2*h - 5, 0 = -k - 3*h + 3 for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 21508422 to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((8\/(-70))\/2)\/((-12)\/(-20)). Sort q, -15, -0.1, -2\/3 in descending order.\nAnswer: q, -0.1, -2\/3, -15","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v + 4 = 13. Let y(j) = j**3 - 2*j**2 + j - 6. Let u be y(v). Suppose u*b - 335 = b. Is b a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1358125 and 1886000?\nAnswer: 5125","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = 3*c**3 + 4*c**2 - 11*c - 1. Let g(t) = t**3 - t**2 - t - 1. Let s(d) = -4*g(d) + i(d). Let w be s(7). Solve w*m - 16 = -m for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2511 = 3*y + q - 0*q, 0 = 3*y - 2*q - 2520. Round y to the nearest 100.\nAnswer: 800","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 9319 + -9320. Let m = 0.3 + -0.4. Let w = -7\/13 + 5\/13. Which is the fourth smallest value? (a) w (b) r (c) m (d) 1\/9\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = 0*c - 2*c - 8 - c + 0*c. Let a be h(-4). What is the first derivative of 6*t**4 - 12 + 1 - 10 - 20*t**a wrt t?\nAnswer: -56*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = -m**3 + m**2 + 6*m + 6. Let u be v(-3). Let a = 26 - u. Let q(l) = a + 8*l - l + 5 - 9*l. Let x(c) = c - 3. Give 4*q(j) + 9*x(j).\nAnswer: j + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 6\/(-6) - (1 - 6). Suppose l*j - 3*j - 110000 = 0. What is j rounded to the nearest 100000?\nAnswer: 100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1857 = 3*b - 2*i, -101*i + 98*i = 3*b + 1827. Which is bigger: b or -6750\/11?\nAnswer: -6750\/11","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-2)\/(-1) + (-215)\/(-5). Let l(y) = -8*y - 127. Let b be l(-16). Suppose -4*f + 35 = -b. What is the greatest common divisor of o and f?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1030604 is divided by 173?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-11)\/(4092\/(-24)) + (-128)\/62.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -28254 - 31362 = 864*f for f.\nAnswer: -69","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = -u**2 - 32*u - 124. Let k be c(-27). Suppose -47 = -12*q - k. Let s = -27 - -39. Calculate the smallest common multiple of s and q.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yly when three letters picked without replacement from {l: 1, r: 1, z: 1, c: 5, y: 2, o: 7}.\nAnswer: 1\/2040","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 120*a*g**3*r + 2*a*g**2*r + 3*a*g**2 + 2*g**4 + 79*g**3*r + 16736*r wrt g?\nAnswer: 720*a*r + 48*g + 474*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 268134222 take away 407.23?\nAnswer: 268133814.77","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 309670962 to the nearest integer?\nAnswer: 17597","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Divide 44 by 7.\nAnswer: 44\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -28 and 4011051.\nAnswer: -112309428","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) be the first derivative of 29*p**3 + 0*p**4 - 90 + 0*p + 0*p**2 + 57\/5*p**5. What is the third derivative of g(m) wrt m?\nAnswer: 1368*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 202*r = 190*r + 105 + 231 for r.\nAnswer: 28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2798683727?\nAnswer: 7, 157, 1051, 2423","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0266 minus 40?\nAnswer: -39.9734","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 25e83 (base 16) to base 9\nAnswer: 255878","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 48\/793 and 10\/39?\nAnswer: 2379","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 611 minutes after 2:01 AM?\nAnswer: 12:12 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11*d**2 - 35*d**2 + 14*d**2 - 61*d**2.\nAnswer: -71*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 0.5 (b) 0 (c) 5 (d) -4 (e) 38\/335\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (9\/741)\/(15738\/136396)?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 45626257 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 2 - 2)*(4944 - 4944 - 40*o**3)*(2 - 2 + 7).\nAnswer: 280*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2572 to the nearest integer?\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 35833230 and 915?\nAnswer: 915","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i + 6 = 0, -i - 3*i = 3*p - 485. What is the tens digit of p?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -14212 - -14212. Let r = -0.3 + 1.3. Which is the biggest value? (a) g (b) r (c) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -2\/7 (b) -1\/8 (c) 3 (d) 13 (e) -20\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 8982?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -123, -115, -107?\nAnswer: -99","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/25, 0.4, -0.5, -1, -2\/11 in ascending order.\nAnswer: -1, -0.5, -2\/11, -1\/25, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*s + s - s)*(-3*s + 3*s - s**2) + (2 + s**3 - 2)*(7 - 3 - 3) + 6278*s**2 - 35*s**3 - 6266*s**2 + 37*s**3 + 6*s.\nAnswer: 5*s**3 + 12*s**2 + 6*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 20 and 340.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*((sqrt(192) + 0 - sqrt(192))*-2 + 5 + 0)**2*4.\nAnswer: 500","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(175)*3*3.\nAnswer: 45*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 730 + -1161. Let z be (y\/2)\/(3\/(-132)). Suppose -z = 4*p + i, -3*p - i = -0*p + 7112. What is p rounded to the nearest one hundred?\nAnswer: -2400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 76\/45 and 71\/423.\nAnswer: 2115","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + (1*sqrt(19)*-2)**2.\nAnswer: 78","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = 112*a**2. Let x(p) = 7*p**2. Let n be 4 + -4 + 4\/(-1). Let k(y) = n*h(y) + 63*x(y). Let l(u) = 5*u**2. Determine k(l(i)).\nAnswer: -175*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -26 + 89. What is the highest common factor of i and 133?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 1 + 3)*(-4*y**4 + 16*y**4 - 3*y**4)*(-15*y - 9 + 9).\nAnswer: -270*y**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 4 + -4. Let y be ((-21)\/(-14))\/(2\/12). Suppose -3*h + s + y = 0, s = -h - h + 6. Solve q = -h*a + 4*a for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2074559 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00000097053 rounded to 7 dps?\nAnswer: -0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -327, 1, 0.24, 14, -5?\nAnswer: -327","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 9859?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 75606613 a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -5, -2, -198, -6 in descending order.\nAnswer: 4, -2, -5, -6, -198","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 14147336?\nAnswer: 2, 7, 257, 983","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 94625.\nAnswer: 5, 757","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 367226720 a multiple of 2028?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -14 - -23. Let p(y) = 5*y - a*y**2 + 12*y**2 - 5*y. Let z(o) = 6*o - 5. Let r(t) = -3*t + 3. Let s(i) = -5*r(i) - 3*z(i). Determine s(p(m)).\nAnswer: -9*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 12614504459 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -3895.1267 - -3895. What is n rounded to two dps?\nAnswer: -0.13","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 230 - 220.504. Round u to the nearest integer.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -15 + 11. Let u(s) = s**2 + 5*s + 1. Let j be u(-5). Let t be j\/(-2) + 7\/(-10). What is the nearest to -1 in 4, t, n?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.238 + 0.378. Let o = 1.3 + -3.44. Let j = o + n. Which is the third smallest value? (a) j (b) 2 (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u - 4*v - 59 = 41, 120 = 5*u - 4*v. Suppose -8 = 16*r - u*r. Find the second derivative of 3*o + 5*o + 4*o**r + 7*o**2 - 4*o wrt o.\nAnswer: 22","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k = 6*k - 70. Let y = -19 + k. Let u = -16 + y. Solve w + u = 3 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -5614232*n + 129024635 wrt n.\nAnswer: -5614232","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 - (-10 + 5) - 7?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -475 - -478. Differentiate 214*a - 28 - 128*a - d - 14 + 7 wrt a.\nAnswer: 86","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*1*(5 + 0 + -5*(3 + sqrt(567) - sqrt(567)) + 4).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -2.076 + 2.122. What is the smallest value in -5\/3, u, 2\/9, 5?\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i = 6*w - 4*w - 28, w + 49 = 3*i. Suppose 0 = -15*a - 4 + 34. Calculate the greatest common factor of a and i.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 8307 - -6771. What is the ten thousands digit of r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1761\/21190 - -3\/326. Find the common denominator of 23\/10 and l.\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -201434 = -94*g - 51692. Solve -1589*v = -g*v - 12 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-2)\/3 - (-448)\/24. Let w = f + 50. Let q(x) = -x**3 + 13*x**2 - 12*x + 12. Calculate the remainder when w is divided by q(12).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -6 + (-1 - -1) - (-1373820)\/225699\nAnswer: 2\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:17 AM and 1:43 PM?\nAnswer: 446","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -0.0363 * -0.11\nAnswer: 0.003993","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3034 is divided by 62?\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 6294159 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -20201\/6 - -3367. Let o = -0.1 + 0. Which is the biggest value? (a) -1\/2 (b) -3\/2 (c) i (d) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 24*j = -26 + 24 - 20 - 50 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = y**2. Let t(f) be the first derivative of 0*f**2 + 1 - 3*f - 1\/6*f**4 + 0*f**3. Let u(p) be the first derivative of t(p). Calculate h(u(z)).\nAnswer: 4*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10 - 7 - -6 - (20 + -5) - -8.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 9 and 26760564?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -41\/4 + 10. Let q = 0.21 - -1.79. Which is smaller: k or q?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 9.3 - 9. Let x = -5.88 + -0.72. Let v = x - -7. Which is the second smallest value? (a) h (b) 3 (c) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7534968.\nAnswer: 2, 3, 7, 44851","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y + 30 = -0*y. Suppose 4*l - 2*j - y = 0, -l + 0*j - 1 = -j. Solve 0 = w - m + 4, -2*w - 5*m = -l*w - 11 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -332 - 152 = -34*r - 10*r. Suppose -2*s + 4 + 176 = 0. Suppose -7*z + s = -2*z. What is the remainder when z is divided by r?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 0.4878796 decades?\nAnswer: 58.545552","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = 3*w**2 + w - 2. What is x(4)?\nAnswer: 50","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in 0, -41, -3\/2?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*m + m + 146*h = 257, -463*h = 2*m - 466*h + 20 for m.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = -24*a - 159. What is w(-10)?\nAnswer: 81","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -47.929 + -0.071. Let r = g - -47.99973. What is r rounded to 4 dps?\nAnswer: -0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = 13*y + 4. Suppose -38 = -0*u - 4*u - 2*s, -3*u + 6 = -3*s. Let c be (-3 + 0 + 3)\/(-1). Let w(r) = -r - 2*r - r + c*r - 1. Calculate u*w(d) + 2*h(d).\nAnswer: -2*d + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is (770\/12)\/(-11)*(-48)\/84?\nAnswer: 10\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + 3 + (sqrt(39)\/sqrt(3))**2 + (4*(sqrt(39) - sqrt(39)*-2)\/sqrt(3))**2.\nAnswer: 1892","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0920839905 - 0.3?\nAnswer: -0.2079160095","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 30\/1134*(-2676)\/(-1115)*7\/(-3)?\nAnswer: -4\/27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + 3 + sqrt(833) - (sqrt(833) - 1*3*sqrt(833)))**2.\nAnswer: 168*sqrt(17) + 7513","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 44289322?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = 167*o + 111. List the prime factors of g(7).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -16047, 5, 1, 7, 4 in increasing order.\nAnswer: -16047, 1, 4, 5, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r - 512 = 2*z, 0 = -3*r + 2*r - 1. Let p = z + 5867\/23. Sort p, -5, 0.3 in ascending order.\nAnswer: -5, p, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((8\/(-28))\/1)\/(20\/(-35))?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f**5 + 48*f**4 - 580*f**3 - 2784*f**2 - 2160*f = 0. What is f?\nAnswer: -18, -3, -1, 0, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert 27425 (base 9) to base 7.\nAnswer: 105101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.186 - -71.186. Let k = 70.9999828 - w. Round k to five dps.\nAnswer: -0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 3489, 14128, 31845, 56640?\nAnswer: 88513","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_test"},"subset":"dm_maths"} +{"text":"Question: Let y = 289069 + -289066. Factor 2\/11*t**y + 126\/11*t - 30\/11*t**2 - 98\/11.\nAnswer: 2*(t - 7)**2*(t - 1)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = -x**2 + 4*x + 1. Let n be d(5). Let a be (0 + n\/8)*-12. Solve -2*m = m + a for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from lausqauwawwwauaswqsw. What is prob of picking 1 u and 1 q?\nAnswer: 3\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.359 less than -0.1?\nAnswer: 0.259","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -400060 - -3?\nAnswer: -400054","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 128*u**5 - 381*u**4 + 7*u**3 + 160*u**2 - 30099 wrt u.\nAnswer: 7680*u**2 - 9144*u + 42","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kk when two letters picked without replacement from {k: 4, v: 14}.\nAnswer: 2\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Are -1 and 519\/2887 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(2835)*2 + sqrt(35))\/(sqrt(7) + sqrt(7) + 4*sqrt(700)).\nAnswer: 19*sqrt(5)\/42","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -212, -213, -212, -209, -204, -197?\n\"Answer: g**2 - 4*g - 209","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v + 2 = -2*m, -5*m - 3183*v = -3182*v + 17. Let o(k) = -k**3 + 5*k**2 + k + 7. Let g be o(5). Sort g, m, -3, -5 in increasing order.\nAnswer: -5, m, -3, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 45\/(3\/(-84)*6). Let a be (-644)\/q + (-2)\/(-15). Find g such that a*g**2 + 0 - 2*g**3 - 6\/5*g = 0.\nAnswer: 0, 3\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 30111519 is divided by 119?\nAnswer: 116","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) be the second derivative of -j**4\/12 + 5*j**3\/6 - j**2 - 3*j. Let r be o(3). Solve -k + 2 - r = 0 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 135 and 220.\nAnswer: 5940","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 2\/4 + 21\/2. Let k be 1 + -6 + (-4)\/4. Let h(q) = -2*q - 7. Let b be h(k). Solve b = 4*y - r for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (129\/6)\/((((-16)\/((-320)\/50))\/5)\/1)\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = -9*h + 14*h - 7*h. Let o(p) = 4*p. Calculate o(v(u)).\nAnswer: -8*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 1\/4 of a litre?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 9, 0, 2, -5 in descending order.\nAnswer: 9, 2, 0, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1507470 * 0.1.\nAnswer: -150747","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (6\/15)\/((12\/15)\/2). Suppose -4*f + 21 = t. Solve 3*r + 38 = -f*s + 11, 0 = 4*r + 3*s + 25 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 23883, 34588, 52433, 77418?\nAnswer: 109543","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = -16*i. Let l be m(1). Let b = l + 12. Let w be 800\/((-1)\/(-1154 - b)). What is w rounded to the nearest one hundred thousand?\nAnswer: 900000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -120, -243, -366?\n\"Answer: -123*c + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = -1. Let i(a) = -24 - 20 - 18 - 3*a + 58. What is -3*b(t) + i(t)?\nAnswer: -3*t - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 366677 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (116\/928)\/(50\/480).\nAnswer: 6\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + 4 + sqrt(1100)*2 + 5.\nAnswer: 4 + 20*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = -5*t**2 + 19*t + 5. Let m be f(8). Let d = -131 - m. Does 5 divide d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from uuuuufuuuuffuu. Give prob of sequence ff.\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*y**3 - 2*y**3 + 14*y**2 + y**3.\nAnswer: 2*y**3 + 14*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l + 506 = o, 5*l + 4*o = l + 664. Suppose -3*s = -8*s + l. What is the units digit of s?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1970412021 bigger than -1970412021?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = q**2 + 74*q + 1189. Give k(-37).\nAnswer: -180","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.0549661 and -0.2.\nAnswer: 0.01099322","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -7517043 divided by -927?\nAnswer: 8109","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*m - 14 = -7*m. Let w be 0 + 5 - (-14)\/m. Solve 4*b - 20 - 8 = -4*p, -5*b + 3*p + w = 0 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.0795 + -0.0795. Which is the second smallest value? (a) 2\/9 (b) -1\/5 (c) h (d) 2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -41179 - -80980. Is n a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-4)\/10*12\/(-24)\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = -19380*k + 19369*k + 244 - 242. Let h(q) = -6*q**2. Determine b(h(s)).\nAnswer: 66*s**2 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -160 + 253. Let t = -91 + z. Solve 4*q + 3*v + 41 = 12, -t*q - 3*v - 19 = 0 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = -138 + 138 - 407*u**2. Let n(q) = 2*q**2. Calculate n(f(p)).\nAnswer: 331298*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 43 - 45. Let b(o) = -o - 1. Calculate b(s).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = -w**2 + 9*w - 16. Let z(m) = m**3 + 5*m**2 - 6*m + 7. Let l be z(-6). Let f be v(l). Sort -5, f, -3 in decreasing order.\nAnswer: f, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = -z**3 - 18*z**2 - 2. Let p be n(-18). Let i(l) = 4*l. Let s(h) = h. What is p*i(v) + 6*s(v)?\nAnswer: -2*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vsvvvsvsvveveesv. What is prob of picking 2 s?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 182 - 173. Let i(p) = -p**3 - 16*p**2 + 1. What is the lowest common multiple of i(-16) and g?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 507 minutes before 1:29 AM?\nAnswer: 5:02 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-45)\/18*((-1)\/5 + -1). Let b be y\/(4 - 9\/2). Is 21 a factor of 3468\/24 - b\/(-4)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 768 - 516. Suppose -b + 5*b = -u. Let m = -39 - b. Is 12 a factor of m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from cznbgga. Give prob of picking 1 c, 2 g, and 1 n.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -66 = -0*k - k. What is the least common multiple of k and 60\/(-70) - (-1800)\/42?\nAnswer: 462","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22*t = -23*t - 6. Let o(z) = z**2 + 7*z + 5. Let f be o(-4). Let d = t - f. Calculate the highest common factor of d and 5.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 423718.\nAnswer: 2, 211859","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -297 divided by 124436\nAnswer: -297\/124436","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 6 - 1)*(168278 - 168278 - 1167*q).\nAnswer: -2334*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 g, 1 a, and 1 v when four letters picked without replacement from iwiiivwgvgggviga.\nAnswer: 3\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -52 divided by -26?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = r**3 + r**2 + r - 13. Let a be c(0). Let w be (1 - a\/(-10))*-2. What is the second biggest value in w, 0, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 732 (base 9) to base 5\nAnswer: 4341","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3172 by 4.\nAnswer: -793","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y**(-13)*y)**22\/((y**(3\/7)*y)\/(y*y**(1\/12))))**(-9\/2) assuming y is positive.\nAnswer: y**(66615\/56)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 352228.\nAnswer: 2, 173, 509","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = 2*v + 58. Determine a(0).\nAnswer: 58","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*p + 4, -16*h + 3*p - 11 = -14*h for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = -2*j + 1. Let z(a) be the second derivative of -a**3\/6 + a**2\/2 - 6*a. Let m(p) = 2*l(p) - 2*z(p). Let c(x) = -x**2. Give m(c(t)).\nAnswer: 2*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q - 7 = 7. Let b = q + -4. Let u = 64394 - 64389. Solve -b*h - 4 = -u*h for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((3\/(-4))\/(15\/(-8)))\/(-7 - 1647\/(-235))?\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = -a - 0. Let j be -1*(-2)\/a*9. Let n be (9\/2)\/((-12)\/(-24)). Calculate the greatest common factor of j and n.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -1*(260\/(-45) + 6). Which is the closest to 0.2? (a) -1\/4 (b) v (c) 2\/7 (d) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 162 + -108. Let r = u + -49. Suppose 0 = -r*z - 2*l + 229, -39 - 49 = -2*z - 2*l. Is z a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 38477 is divided by 242.\nAnswer: 241","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 3340 and 180.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(22)\/sqrt(2) + -3 + 0 + sqrt(396).\nAnswer: -3 + 7*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = -29*o + 29*o + 0*o**2 + o**2. Let g(j) = -j**2. Determine s(g(v)).\nAnswer: v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -1134, -4442, -9980, -17754, -27770, -40034?\n\"Answer: -c**3 - 1109*c**2 + 26*c - 50","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 11, -40, 46407 in ascending order.\nAnswer: -40, 11, 46407","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = -15*s + 3. Suppose 18 = -5*v - 2. Calculate the remainder when r(v) is divided by 23.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*w**3 - 20210*w**2\/3 - 578521*w\/3.\nAnswer: -w*(w + 29)*(9*w + 19949)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m - 5*n - 85 = m, -2*n + 78 = -2*m. Put -4, m, 1 in decreasing order.\nAnswer: 1, -4, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f + 5 = -3*m, -25*f + 29*f + 13 = -3*m. List the prime factors of (-21)\/12*f*(140 + -4).\nAnswer: 2, 7, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -91 + 162. What is the remainder when d is divided by (-220)\/(-66)*36\/5?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1385213 by -6.\nAnswer: 1385213\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -53\/14 or -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 933.4 - 201.4. Which is bigger: -2\/7 or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 296 minutes after 7:59 AM?\nAnswer: 12:55 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 2\/15 of a minute?\nAnswer: 8","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: (-80)\/(-165) + (-966)\/(-5313)\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 559 minutes after 12:14 PM?\nAnswer: 9:33 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -83*f + 65*f + 162 = 0. Solve 0 = f*c + 15 - 6 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = 48399993*d**2 + 7*d. Let x be n(1). What is x rounded to the nearest one million?\nAnswer: 48000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = -10*o - 2. Let h be d(-2). Suppose 0 = -3*w + h - 0. What is the units digit of w?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = 7*a**3 + 456*a**2 - 33*a - 225. Does 4 divide y(-65)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence eg when two letters picked without replacement from qlegql?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 139058 (b) 1\/6 (c) -0.1 (d) 0.017 (e) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 20 + -28 + 25 + -8.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1593713\/236 - 6753. Let w = r + -1505\/1416. Calculate the common denominator of -57\/2 and w.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 599 minutes after 11:40 AM?\nAnswer: 9:39 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) be the first derivative of 6*m - 4\/3*m**3 + 2 + 2*m**2. Let c(z) = -4*z - 10. Let v be c(-4). Let d(a) = 3*a**2 - 3*a - 5. Give v*d(p) + 5*k(p).\nAnswer: -2*p**2 + 2*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) be the third derivative of -g**5\/60 + g**4\/8 - g**3\/3 + 7*g**2. Determine r, given that j(r) = 0.\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 16\/6851 and 59\/119.\nAnswer: 47957","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1129 - 18*m + 1129 + (1 + 1 - 3)*(0 + 4*m + 0) + (2 + 1 - 1)*(-3*m + 18*m - 2*m))*(-3*m - m + 2*m).\nAnswer: -8*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5681.\nAnswer: 13, 19, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put together -6 and -80202562712.\nAnswer: -80202562718","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 414?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 - -95 - (-93056)\/(-896)?\nAnswer: -48\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4086908 is divided by 7755?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 8814?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 510 and 2824482?\nAnswer: 14122410","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -17 + 29. Suppose 0 = 5*n + 3*k - 17, -n - 3*n + m = 2*k. What is the units digit of 44 - -2 - (n - -4)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = -j. Let s be r(-5). Calculate the greatest common divisor of s and 5.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.9184541 millilitres to litres.\nAnswer: 0.0009184541","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is c + 107?\nAnswer: 115","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 6834932560 to the power of 1\/2, to the nearest integer?\nAnswer: 82674","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l + 4 = -1. Suppose 3*r - l*r - 1 = -q, 25 = -5*r. Let y = 10 - 18. Which is smaller: y or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = -l**3 - 5*l**2 + 16*l + 6. Determine v(-7).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in eleven halves of a litre?\nAnswer: 5500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -447 - -763. What are the prime factors of q?\nAnswer: 2, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.5*-444748756\nAnswer: -222374378","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let 57*w**4\/4 - 9573*w**3\/8 + 66969*w**2\/2 - 311934*w - 8232 = 0. Calculate w.\nAnswer: -1\/38, 28","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = 2*k**3 - 5*k**2 - 7*k - 5. Let y be n(5). Suppose 3*h + 2*h = y. Suppose 0 = 6*r - 7 - h. Solve 4*x + 5*p = -23, 0 = r*x - 0*x + 3*p + 17 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 28243195007 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -270*n*y**3 + 5*n*y**2 - 296*n + 11*y**3 - 3*y**2 + 279*y wrt y.\nAnswer: -1620*n*y + 10*n + 66*y - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -5\/22385129 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = 2*c**2. Let o(p) = 27*p - 8. Let j = -41 + 33. Let b(i) = -2*i + 11*i + 9*i - 5. Let n(l) = j*b(l) + 5*o(l). Determine n(a(v)).\nAnswer: -18*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3533?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 3*2*(-2)\/3. Let l(u) = -u + 1. Let s(z) = -3*z + 1. Let f(h) = -5*l(h) + 2*s(h). Let p be f(i). Solve -5*o + p - 21 = 0 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3 - (1 + 0))*(-2)\/8?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/5? (a) -4747 (b) -4\/5 (c) 0.225 (d) -2\/17\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 18\/4897 and ((-2 + 0)\/((-57)\/19))\/(16\/(-1164))?\nAnswer: 9794","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -850 + 848 + 7*s + 3*s in the form g*s + b and give g.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*x = 11*x - 44. Solve -2*j + 6*j - 21 = 5*w, 0 = -3*w + 4*j - x for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) be the third derivative of y**5\/60 - 5*y**4\/24 - y**3\/6 + 12*y**2. Let r be i(6). Let d be 2\/(-3) + 15\/9. What is the highest common factor of d and r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 17 a factor of 1473619?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -7694871, -7694872, -7694873, -7694874, -7694875?\n\"Answer: -u - 7694870","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -9\/17 bigger than -8341?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 570, 568, 566, 564?\n\"Answer: -2*j + 572","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = 137*z - 32. Is 11 a factor of j(3)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 5168?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -1389546 divided by -255\nAnswer: 27246\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -3, 0, 3, 21, -15, -21 in descending order.\nAnswer: 21, 3, 1, 0, -3, -15, -21","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -29\/21 + 5\/3. Which is the closest to x? (a) 0.4 (b) 0.3 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 10 + -6. Let f = 1 - 5. Let p = x + f. Solve -n = -0*k - k + 1, 4*n + 3*k - 24 = p for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -35, -106, -223, -392, -619?\n\"Answer: -m**3 - 17*m**2 - 13*m - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = -4*n**2 - 2*n + 5. Let u(v) = -10*v**3 + 8*v**2 + 988*v - 10. Determine -2*p(c) - u(c).\nAnswer: 10*c**3 - 984*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put together -2984565880 and 0.19.\nAnswer: -2984565879.81","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_test"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 27 and 279?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j - 12 = j. Suppose -z + j = 2*c, 3 + 12 = 5*c + 4*z. Factor -17*m + 5*m**c + 0*m**3 + 12*m.\nAnswer: 5*m*(m - 1)*(m + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -181\/1638 and -127\/133260?\nAnswer: 36379980","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = s - 12. Suppose -n - 2*r + 13 = 0, -2*n + 3*r - 5 = -3. What is m(n)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 36953281 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = 3*x**2. Let z(i) = 2*i - 2*i - 3 + 4*i**2. Let s(b) = -44*b**2 + 32. Let y(o) = -3*s(o) - 32*z(o). Calculate y(c(m)).\nAnswer: 36*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 1 - -8 - (-986 - -1003) - -13\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 10 or 42?\nAnswer: 10","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 60 minutes after 8:07 AM?\nAnswer: 9:07 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 0.2858731um?\nAnswer: 0.0002858731","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -16 greater than -7.6?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -274507, -549156, -823803, -1098448?\n\"Answer: k**2 - 274652*k + 144","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 14, -0.6, 0, 1\/5?\nAnswer: -0.6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((-1 - 3 + 2)*(-2*x - 3*x + 6*x) - 6*x + 9*x + 10*x + (-3 + 2 + 2)*(3*x - 2*x + 3*x))*(-6*x - 3*x + 2*x) to the form r*x**2 + n + a*x and give r.\nAnswer: -105","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = -w**3 - 10*w**2 - w + 6. Let t be n(-10). Suppose 5*i - 56 = -t. List the prime factors of i.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 520971680 divided by 102352?\nAnswer: 5090","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = h**2 + 3*h + 3. Let r(v) = -v**3 + v**2 - v. Let d be r(2). Let c be (1*-2)\/(d\/9). Let t(x) = -2*x**2 - 4*x - 4. Determine c*t(w) + 4*f(w).\nAnswer: -2*w**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = -z**2 + 2*z + 10. What is the smallest common multiple of m(4) and 9?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z = 21*z + 85. Let f = 181.1 + -180.6. What is the nearest to -1\/3 in z, f, -1\/5, 5\/4?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -21 + (-12 - -6 - -5). Put t, -2, -1 in ascending order.\nAnswer: t, -2, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -67, 47, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p - 9 = -5*p - a, 0 = 3*a - 3. Let m be 1\/2 + 28\/p. Factor -7\/4*z**3 - z**m + 1\/2*z**2 + 0 + 0*z.\nAnswer: -z**2*(z + 2)*(4*z - 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wcyybaaayacaayaaay. What is prob of sequence ab?\nAnswer: 1\/34","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Divide -7 by 11374095.\nAnswer: -7\/11374095","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 130930?\nAnswer: 2, 5, 13093","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 24612.\nAnswer: 2, 3, 7, 293","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k = -3*k. Let a be (k - 2\/(-2))*10. What is the greatest common factor of a and 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*i**4 - i**3 - 2*i**5 + 4*i**2 - 6*i**4 + 3*i**5 - 2*i**2.\nAnswer: i**2*(i - 2)*(i - 1)*(i + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 4 + 157\/(-84) + (-3)\/4. Let p = w - 5\/7. Let h = 256\/3 + -86. Which is the second biggest value? (a) 5 (b) h (c) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = t**3 - 3*t**2 + 9. Let a be r(3). Suppose -a*v + 0*v - 207 = 0. Let g(u) = -3*u - 66. Let w be g(v). Solve 3 = w*z + 15 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3414*p - 1010*p = 1042*p + 24577 - 95635 for p.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h = -4*h + 10. Suppose -f = h*j + 2, -4*f = -2*j - j - 15. What is the second derivative of -2*k**3 - 4*k**f + 4*k**3 + 2*k wrt k?\nAnswer: -12*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = -22*o**2 + 32. Let r(d) = 7*d**2 - 10. Let u(m) = -5*n(m) - 16*r(m). Let l(b) = -7*b + 7 - 7. Give l(u(v)).\nAnswer: 14*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-12)\/(-3) - -1*6. What is the greatest common divisor of 5 and k?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -26761809 smaller than -454950740\/17?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 3 and -3.5?\nAnswer: -10.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 156 - 90. Is h a multiple of 22?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 15879768, 31759535, 47639302, 63519069, 79398836?\nAnswer: 95278603","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3*w + 4*w + 2*w)*(-2 + 1 + 0)*(1 + 2 + 0) to p*w + c and give p.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 282861, 565724, 848587, 1131450, 1414313, 1697176?\n\"Answer: 282863*y - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j\/j**0)\/j)\/(j*j**(-3\/2))*j*j**(2\/5)*j\/(j**(-1\/2)*j) assuming j is positive.\nAnswer: j**(12\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -256 or -502?\nAnswer: -502","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -6594 divided by -314\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((0*j + 3*j - j)*(3*j**2 - 2*j**3 - 3*j**2) - 3 + 2*j**4 + 3 + (2*j**2 + 2*j - 2*j)*(4*j**2 - 5*j**2 + 0*j**2))*(151 - 218 - 212).\nAnswer: 1116*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1379531?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -83.7 - -44. Let f = y - -40. What is the second biggest value in -3\/5, 3, f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(-1\/2))**(6\/17)*((m*m**(2\/21))\/m)\/(m*m*m*m**(-2\/7)) assuming m is positive.\nAnswer: m**(-998\/357)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is (-13)\/2*4320\/(-360)?\nAnswer: 78","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 387, 932, 1477, 2022, 2567?\nAnswer: 3112","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 2156 and 208054.\nAnswer: 1078","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = -5640*c - 25739. Determine m(-5).\nAnswer: 2461","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(-8)*s**(-5\/2))\/((s**7*s*s)\/s*s*(s\/s**(-2\/11))\/s*s) assuming s is positive.\nAnswer: s**(-455\/22)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = 4*h - 2*x, 4*h + 2*x = -2*x. Let w = -0.02 + 3.02. Let k = -7 + 11. Which is the closest to h? (a) k (b) -3\/5 (c) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (72\/8 - 2*3)*-1.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 112423 and 399.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((5*(sqrt(136) + sqrt(136)*-2) - sqrt(136)) + sqrt(136) + sqrt(136) + sqrt(136) + 5*sqrt(136)*-1)\/(((sqrt(128) - sqrt(128)*2)\/sqrt(4))\/sqrt(4)).\nAnswer: 8*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 1 + (-1)\/(1\/(-345)). Suppose 5*i - 244 = i. Suppose -3*u = i - j. Is u a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 5909?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-27)\/(-15)*(-670)\/(-1809).\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of (0 - (-5 + 3)) + 33\/3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 191380956137 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t + 9 + 3 = 0. Suppose -63*q + 56 = -55*q. Suppose 0 = -q*a + 6*a + t. Calculate the least common multiple of a and 1.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 27 divide 2028118?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5104 is divided by 67.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -13 - -17. Let f be h\/18 + 104\/18. Let m = 11 - f. Solve 5*l - 5 = -0*z - 3*z, -4*z = -m*l + 40 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = q + 7. Let o(f) = 2*f + 6. Let r(d) = -2*o(d) + 3*w(d). Let t be r(9). Let h = 18 - t. What is the units digit of h?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = p**3 + 4*p**2 - 8*p - 27. Let q be r(-4). Solve -q*s + 0*s = 5*v + 15, 5*v + 7 = 3*s for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -3, 0, -2, -24, 167 in decreasing order.\nAnswer: 167, 5, 0, -2, -3, -24","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 10370746361 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = -m. Let k = 0 - -5. Let x(z) = -z - k*z + 3*z. Let u(r) = 19*r. Let p(l) = -6*u(l) - 39*x(l). Calculate s(p(w)).\nAnswer: -3*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 5 in -0.08, -5, -9757, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -237061906*h**5 + h**2 - 3*h - 10175844 wrt h.\nAnswer: -14223714360*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o + 4*i - 42 = -17, -3*i = 2*o + 11. Let s(t) = t**3 + 6*t**2 - 9*t + 2. What is the remainder when 62 is divided by s(o)?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 341180 by -68236.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = -1 - 4 + 2*z + 8*z - 4*z. Let s(m) = 3*m - 3. Calculate 4*q(a) - 7*s(a).\nAnswer: 3*a + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in 1\/117, -3, -5, 1, -13, -1?\nAnswer: -13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b - 3*p = 20, 2*b - 4*p = -3*b + 25. Suppose 2*v + 5 = 4*l - 29, -b*l + v = -50. Solve 5*j + 8 = i - l, -5*i = 5*j - 5 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3*g + 4*g + 2*g)*(25 - 25 + 32*g)*((3 + 2 - 3)*(-g - 2*g + 4*g) - 1 + 1 + g) as s + d*g + f*g**3 + z*g**2 and give d.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = -7*w**2 + 6*w - 4. Suppose 22 = 5*h + q, 2*q = -5*h + 303 - 279. Let d(v) = 6*v**2 - 5*v + 4. Calculate h*c(i) + 5*d(i).\nAnswer: 2*i**2 - i + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3870?\nAnswer: 2, 3, 5, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 266755 is divided by 95.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 28303\/380 - 1532\/19. What is the common denominator of 27\/20 and f?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*r - 27 = 2*f, 0 = 2*f - 3*r - 29 + 16 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2252*-1.011.\nAnswer: 2276.772","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = -g**2 + 7*g + 7. Let w be u(8). Let b(x) = 4*x**2 - 4*x - 3. Let c be b(w). Suppose 3*z - 137 = -c. What is the units digit of z?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -484*f - 112*f - 24362 = 341*f for f.\nAnswer: -26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23*x + 155 = -18*x. Let y = x + -77. Let f = -30 - y. Solve -2*m - f = -3*m - 3*i, 16 = 5*m - i for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.38 + 0.18. What is the closest to w in 5, 1\/9, -2\/3?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m - 4 = 2*s, -5*m + 2*s + 5 = -5. Let d be (-4 - -2) + 1*3. Let c be (4*d\/4)\/((-7)\/(-21)). Solve -m*q - 11 = 3*t, 2*t + 1 = -3*q - c for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = -36*m**2 - 42*m + 79. Let k be o(27). Let l be (-2)\/14 + 1*k\/7. What is l rounded to the nearest 10000?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 150.12 * -1.\nAnswer: -150.12","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 563038?\nAnswer: 2, 7, 131, 307","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*i - 2*o + 80 = 0, 10*i - 24*o = 7*i + 39 for i.\nAnswer: 37","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*i - 4*i - 149779. Is i a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 60*i**2 - 125*i**2 + 56*i**2.\nAnswer: -9*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = -d**2 - 32*d + 165. Let r be c(-37). Is r\/3*(-1)\/((-2)\/(-36)) a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 13602 is divided by 620?\nAnswer: 582","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.895366819 rounded to 1 decimal place?\nAnswer: 1.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -64373, -260279, -587715, -1046681?\nAnswer: -1637177","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let -47\/4*k - 3*k**2 + 23\/2*k**3 - 9\/2*k**4 + 1\/4*k**5 + 15\/2 = 0. Calculate k.\nAnswer: -1, 1, 2, 15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-805)\/56 - -9 - (-9)\/24.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 3359, 24803, 83001, 196331, 383171?\nAnswer: 661899","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.1 + -0.9. Let z = -0.08 + -0.01. Let t = z + -0.41. What is the closest to 2 in -2\/13, j, t?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 90, 182, 272, 360, 446, 530, 612?\n\"Answer: -o**2 + 95*o - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2235 by -149.\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {w: 1, i: 1, o: 3, m: 1, a: 2, z: 4}. Give prob of sequence zwma.\nAnswer: 1\/1485","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2*a**3*g + 128*a**3 - 2*a*g + 3*a - 153*g + 5 with respect to a.\nAnswer: 6*a**2*g + 384*a**2 - 2*g + 3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = -22*x + 266. Let l be y(12). Solve l*h + 11 = 3 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 195\/(-10)*(-1244)\/12129\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 267 + 11001?\nAnswer: 11270","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = m**2 + 20*m + 93. Let w be i(-7). Sort 1, 21, 4, w in decreasing order.\nAnswer: 21, 4, w, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:02 PM and 8:06 PM?\nAnswer: 4","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -29*u - 3*u**2 + 77*u - 163 + 479 - 159 - 35*u - 157.\nAnswer: -3*u**2 + 13*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3464?\nAnswer: 2, 433","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2485 is divided by 22?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 10 + 135. What is the tens digit of w?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -31\/6 and -85\/988572.\nAnswer: 988572","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -15 - -20. Let l be ((-9)\/15)\/(1\/(-10)) + -2. Solve w*a + 2*h = -0*a - 28, l*h + 36 = -5*a for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 15 - 11. Suppose o - 4*o + 30 = 0. Let y be (-60)\/(-14) - o\/35. Solve -5*v + 5*i - 8*i = 0, 0 = y*v + a*i for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 33*d - 134 = -2. Solve c = -d*c - 5 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 1, i: 4, e: 3}. Give prob of sequence ef.\nAnswer: 3\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -1 + 1 - (38 + -43)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from amfffdmdfffd. What is prob of picking 3 d and 1 a?\nAnswer: 1\/495","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 967, 1103, 1239?\nAnswer: 1375","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = 14*u**3 + 2*u**2 + 2*u. Let c be a(-1). List the prime factors of 12*9*c\/(-28).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1300 <= 0.2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1.9 * -0.031.\nAnswer: 0.0589","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f - 5*f + c + 2 = 0, 4*c + 13 = 5*f. Solve 3*z = f - 17 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 54*q - 192 = 456 for q.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x + 25 = -4*m, -2*x = m + x + 15. Let r be m\/(-2) - (-35)\/7. Which is the third biggest value? (a) r (b) 2\/11 (c) 4\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -2\/5 (b) 25 (c) 5 (d) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Divide -813 by 19.\nAnswer: -813\/19","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 42*v - 90 = -3*v. Which is the smallest value? (a) v (b) 3 (c) -0.111\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = -d**3 - 7. Let m be a(0). Let c = m - -6. Is c*3 + (0 - -7) a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 128248 and 204.\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -48*t**2 + 12*t**2 + 580*t**2.\nAnswer: 544*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert -31114 (base 10) to base 4.\nAnswer: -13212022","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 182100 to the power of 1\/10, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from qrfrffrrqfqrrrqqrrr. What is prob of sequence rqfq?\nAnswer: 25\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = r**3 + 4*r**2 - 21*r + 2. Let q be b(-7). Suppose -s + 640 = 5*l, 0 = q*s + 3*l - 686 - 615. Is s a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 6493 - 4347. What is the tens digit of i?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 8805.2 to the nearest one hundred.\nAnswer: 8800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {d: 2, a: 9}. What is prob of picking 3 a?\nAnswer: 28\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1 or 1\/2353797395?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 + 0 + 2047*p - 10594*p - 1044*p.\nAnswer: -9591*p + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (30\/306)\/((7*(-54)\/63)\/9).\nAnswer: -5\/34","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-50)\/24*-9*(-4)\/(-3). Let g(c) be the third derivative of 1\/120*c**6 + 0*c + 1\/60*c**5 + 0*c**4 + 0*c**3 + v*c**2 + 0. Factor g(j).\nAnswer: j**2*(j + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t\/t**3*t*t*t\/(t\/(t*t*t**3*t*t)))\/(t*t**(2\/5)*t*(t\/t**(-5))\/t))**(-11\/3) assuming t is positive.\nAnswer: t**(22\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 10\/30 + 196\/(-3). Let j = -2 - k. List the prime factors of j.\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 772304 and 1896.\nAnswer: 2316912","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put -10, -0.53, -16, -0.1, 0.3 in descending order.\nAnswer: 0.3, -0.1, -0.53, -10, -16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4.398062ug to milligrams.\nAnswer: 0.004398062","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2229159.\nAnswer: 3, 17, 109, 401","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 230562?\nAnswer: 2, 3, 12809","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: (-4)\/14*(357\/(-119))\/((-15)\/(-14))\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2 + 4 + -5 - -4) + 3.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 33907 a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 24\/8*(-2)\/33.\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5295756.\nAnswer: 2, 3, 19, 23227","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -18 + 24. Suppose -2*f = -3*g - x*f + 8, g = 4*f + 8. Sort -3, 0, g.\nAnswer: -3, 0, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 5 and 5660361.\nAnswer: 28301805","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 11929477 is divided by 1650?\nAnswer: 1627","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -39, -15, 9, 33, 57, 81?\nAnswer: 105","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 46*g + 53*g - 111*g.\nAnswer: -12*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 6*m - 2*k + 68, -m + 5*k + 3024 = 3124 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23*l + 8*l = 15. Are 2\/223 and l nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1524 divided by 508?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*z + 4*u - 6 - 3, -3 = -z + 2*u. Suppose -30 - 711 = -z*y. What are the prime factors of y?\nAnswer: 13, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -4 - -8. Suppose 4*x = -5*l + 289 - 77, l - 28 = w*x. What is the greatest common factor of l and 16?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 306*g**2*m**2*n - 25*g**2*n**2 - g*m**2*n**2 - 77*g*m**2 + 3*m**2 + 6*m*n**2 wrt g?\nAnswer: 612*m**2*n - 50*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put together 117.11223 and 160.58.\nAnswer: 277.69223","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -11 or -868?\nAnswer: -868","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 69 = -j + 4*j. Let v = j + -19. Which is the smallest value? (a) -0.1 (b) v (c) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -816 = -36*y + 33*y. What is the greatest common factor of y and 170?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((8\/(-32))\/((-354)\/16))\/((-32)\/(10272\/(-107)))?\nAnswer: 2\/59","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1 - -0.5. Which is smaller: -0.1 or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4467?\nAnswer: 3, 1489","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16 + 16 = -32*f for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 416 and 728.\nAnswer: 2912","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v + 2 - 8 = 0. Let y = -1 - -2. What is the third biggest value in y, v, 1\/4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -196*t + 884*t - 12*t.\nAnswer: 676*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:06 AM and 7:34 AM?\nAnswer: 448","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) be the third derivative of 0*q + 5*q**2 + 0 + 1\/6*q**3 + 1\/24*q**4. Let y(i) = -i**3 - 2*i - 1. Calculate 3*n(j) + y(j).\nAnswer: -j**3 + j + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -11204470654325 - -0.5?\nAnswer: -11204470654324.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 31638749?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 + -0.041459057944.\nAnswer: 2.958540942056","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = o**2. Let r(w) = -w**2 + 4*w - 1. Let q be r(3). Suppose p - 4*z = -q*p + 3, 2*p = 2*z + 4. Let f(t) = t**2 + 5*t - p*t. Determine y(f(u)).\nAnswer: u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 73299 is divided by 266?\nAnswer: 149","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 2560.382 litres in millilitres?\nAnswer: 2560382","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence eme when three letters picked without replacement from zwewewwwzemezeb?\nAnswer: 2\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 43*h = 39*h + 696. What is the remainder when h is divided by 59?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 11209 is divided by 1898?\nAnswer: 1719","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((2*p**3 + 5 - 5)*(-2 + 2 + 2) + 131*p**3 + 146*p**3 - 230*p**3 + (-5*p + 4*p - p)*(4 - p**2 - 4) + p**3 + 0*p**3 - 2*p**3)*(2*p**2 - p**2 + p**2).\nAnswer: 104*p**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = -64*l + 47. Let i be b(-7). Suppose -i = -2*v - v - 2*o, -2*o = 5*v - 829. List the prime factors of v.\nAnswer: 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -2 - -2d?\nAnswer: 2b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*o = 12*o - 5*t - 8450, 8486 = 5*o + 4*t. Is o a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 99*f - 102*f - 3*d + 18, -20*f = -d - 183 for f.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 30098*t**3*y**2 + 1330*t**2*y**2 + 2*t**2*y + 2*t*y - y**2 wrt t.\nAnswer: 180588*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1033 + 11369\/11. Put -0.7, 0.12, n, 5 in descending order.\nAnswer: 5, n, 0.12, -0.7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = c + 2. Let g be r(-1). Suppose g + 14 = -3*f. Let j = 1.4 + 0.6. Sort f, j, -1\/5 in ascending order.\nAnswer: f, -1\/5, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -2829 + 118?\nAnswer: -2711","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 5 - -33. Is u a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 86774.456993 - 91376.4562263. Let u = 4602 + s. Round u to 4 dps.\nAnswer: 0.0008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0 and 2.4?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort 12, -1197, -12, 5, 0, -2 in ascending order.\nAnswer: -1197, -12, -2, 0, 5, 12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i\/(i\/i**2))**(-1\/2) assuming i is positive.\nAnswer: 1\/i","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -813 + 3?\nAnswer: -810","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.223 - -0.238. Let a = r - -0.0852. Round a to 2 decimal places.\nAnswer: 0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 133 (base 15) to base 3.\nAnswer: 101010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -3683826.3 to the nearest one hundred thousand.\nAnswer: -3700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = -q - 14. Let d be s(-16). Let c = -11 + d. Let w(u) = -u**3 - 7*u**2 - u - 21. Is w(c) a multiple of 48?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = y**2 + 8*y. Let n be ((-3)\/1 + 7)*-2. Let p be v(n). Which is the second biggest value? (a) 3 (b) 1\/2 (c) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = 52*h**2 + 2*h - 10. Let v(w) = -49*w**2 - 3*w + 15. Let y(z) = -3*b(z) - 2*v(z). Let f(u) = -3*u - 32. Determine y(f(k)).\nAnswer: -522*k**2 - 11136*k - 59392","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1 - -2. Find the second derivative of -4*f + 13*f**s + 3*f**4 - 13*f**3 wrt f.\nAnswer: 36*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -64431916, -64431918, -64431920, -64431922, -64431924?\n\"Answer: -2*r - 64431914","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -47457346*g**3 + 42373071*g**2?\nAnswer: -284744076","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 46 + -2. Let o = u - 39. Solve -3*d - o*l - 17 = 0, -5*d - 2*l = -4*l - 13 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 2, v: 2, k: 2, t: 2}. What is prob of sequence dd?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -19*f**2 + 7*f**3 + 37*f**2 - 18*f**2 - 4*f**3.\nAnswer: 3*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 100250?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -40\/39 and 65\/194958.\nAnswer: 2534454","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -840 = -25*g - 3840. Let t = 124 + g. Solve 2*k - t*k = -5*k for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 108, 497, 1160, 2103, 3332, 4853, 6672, 8795?\n\"Answer: g**3 + 131*g**2 - 11*g - 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor 33489*f**4\/5 + 8586726*f**3 + 13760932237*f**2\/5 + 60154004*f + 1643524\/5.\nAnswer: (f + 641)**2*(183*f + 2)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 e and 1 n when three letters picked without replacement from {v: 7, e: 2, n: 2}.\nAnswer: 2\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-4)\/(-6) + 2\/6. Suppose -4*d = o + 2*o - 26, 0 = -2*o - d + 9. Let z be ((-4)\/5)\/(3\/15). Put x, z, o in descending order.\nAnswer: o, x, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*g - 7 - 3 + 0 + (2 - 2 - g)*(1 - 4 + 4).\nAnswer: g - 10","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -246.094 - -246. Let w = 0.006 - s. Which is the closest to w? (a) 0 (b) 24 (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = -29*o + 3. Let n(b) = -45*b - 2772. Let h(a) = a + 77. Let p(l) = 36*h(l) + n(l). What is p(z(i))?\nAnswer: 261*i - 27","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = 89946*f + 1439115. Give x(-16).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = -2*k**3 - 26*k**2 + 37*k + 72. Let f be n(-32). Round f to the nearest one thousand.\nAnswer: 38000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) be the first derivative of 8*f**3\/3 + f**2 - 45*f - 39. Differentiate g(h) wrt h.\nAnswer: 16*h + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a = 6, -5*b = -4*b - 2*a - 7. Suppose 2*f - f = 399. Suppose b*z + 4*u - f = 2*z, -15 = 3*u. Is z composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -152 = 12*w - 16*w. Let c be (-12)\/(-8) + 133\/w. Solve o + 5 - 3 = -d, 3*o + 14 = c*d for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -208 + 243. Suppose 16 = -4*x, -2*x = i + 3*x - 15. Calculate the highest common factor of i and j.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/8 of a decade in months?\nAnswer: 45","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 79 + -67. Suppose 3*z - 99 = -5*h - 0*z, -2*h - z + 40 = 0. What is the remainder when h is divided by x?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = -24*y - 113. Determine u(-4).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = -86*r**2 - 10*r + 10. Let c(u) = 43*u**2 + 4*u - 4. Let w(v) = -2*b(v) - 5*c(v). Let k(q) = -4*q**2. Determine w(k(h)).\nAnswer: -688*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = 17*p - 66 - 4*p + 54 - p**2. Let r be f(12). Solve 0 = 3*h - r - 3 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) be the third derivative of -b**6\/360 - 4*b**3\/3 - 20*b**2. Let g(o) be the first derivative of z(o). Let l(q) = -13*q**2. What is g(l(d))?\nAnswer: -169*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = -178*h. Let s(l) = -11*l**2. What is s(y(z))?\nAnswer: -348524*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is (0 - 0) + -1 + 3 + -4?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-492)\/(-205)*(-30)\/(-8). Let s(f) be the first derivative of 0*f + 2\/57*f**3 - z + 2\/19*f**2. Factor s(o).\nAnswer: 2*o*(o + 2)\/19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -8.94 - -10.25. Round b to zero dps.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 7318805, 14637610, 21956415?\nAnswer: 29275220","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 294 and 6909?\nAnswer: 147","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5659518.74 - 295.\nAnswer: 5659223.74","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 24765293 to the power of 1\/4, to the nearest integer?\nAnswer: 71","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 2101002 + -102011202?\nAnswer: -22210200","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (9 - -9) + -20 + -7?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d + 1 = 4*z, 4*d - 5*z - 4 = -12. Suppose -9*a - d*a = 0. Let t(w) = w**3 + 3*w**2 - 2*w - 2. Let q be t(-3). Solve q*i + 15 + 1 = a for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 3931011 and 63.\nAnswer: 3931011","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 54 - 47. Is 498\/(-18)*(-2 - w) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.1, -3, -0.314 in descending order.\nAnswer: -0.1, -0.314, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:11 PM and 5:27 AM?\nAnswer: 496","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-11*s - s + 2*s)*(0*s - s - s)*((2 + 1 - 1)*(-s - 3*s + 2*s) + s + 0*s + s + 1 + s - 1).\nAnswer: -20*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0, 57, -11?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1033 + -1022. Let y = 135.9 - 124.84. Let h = a - y. What is the nearest to -2\/7 in 2\/5, h, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 741 and -10.578221.\nAnswer: 730.421779","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-6)\/(-15)*6240\/832. Determine v, given that -1255\/4*v**2 + 1235\/4*v**4 + 1015\/4*v**5 + 5 - 50*v - 815\/4*v**k = 0.\nAnswer: -1, -2\/7, 2\/29, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:13 PM and 5:38 PM?\nAnswer: 145","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence aiiu when four letters picked without replacement from {a: 1, z: 2, i: 4, o: 3, u: 2}?\nAnswer: 1\/495","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 49380 + 12133 - 20843 + 43923 = 2917*q for q.\nAnswer: 29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = n**2 + 11*n. Let v be w(-11). Let j be 1 + v + (-3)\/4. Which is greater: -2 or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t + 13*b - 3*b - 11*b = 412, 0 = -9*b - 72. What is the remainder when t is divided by (-843)\/(-12) - 1\/4?\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 21837*a*m**2 + 3267*a*m + 2*m**5 + 3 wrt m?\nAnswer: 43674*a + 40*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = -32*z**2 - z - 2. Let b be o(-1). Let a = -11 - b. What is the units digit of a?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16034911883 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (-15)\/(-6)*(-19596)\/(-230) is divided by 81.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 535*x + 6465 = -61*x - 4263 for x.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find m such that 2*m**4 + 114*m**3 - 9998*m**2 + 73854*m - 134820 = 0.\nAnswer: -107, 3, 5, 42","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*s**2 - 17824*s - 11151826.\nAnswer: 2*(s - 9499)*(s + 587)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 2065195 and 20?\nAnswer: 8260780","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -180*c - 2071 = -271 for c.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round -7.6976 to the nearest integer.\nAnswer: -8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 21\/4 of a millennium?\nAnswer: 525","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = -x**3 - 13*x**2 + 15*x + 12. Let k be 26\/6*(-15 + 12) - 1. Let v be s(k). Let o = 8 + -13. Which is the second biggest value? (a) v (b) 0 (c) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 w when three letters picked without replacement from wwywwywyyyyw?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c = -4, -3*c + 12 = 3*g - 0*g. Let t(j) = 3*j - g*j + j. Let m(w) = -w + 2. Let o(f) = f - 1. Let r(s) = -m(s) - 2*o(s). Calculate r(t(x)).\nAnswer: 4*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 5726908 a multiple of 92?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = -29*n**2. Let f(b) = -77073*b. Calculate c(f(x)).\nAnswer: -172267172541*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -169132*m**3 + 168785*m**3 + m**2 - 9*m**2 + 8*m**2.\nAnswer: -347*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 3 + 2)*(5*a + 6*a - 5*a).\nAnswer: 12*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.02? (a) 3 (b) -0.2 (c) 27\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 127 and 620903?\nAnswer: 127","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -16 + -450664269304.2\nAnswer: -450664269320.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 34085 and 1489715.\nAnswer: 2005","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -227 = -8*s - 59. Let y = s - 15. Solve 0 = 4*c - 2*j - 4, -2*j - 1 + y = -c for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.036 - -0.964. Let n = 5 - i. Let w = n + -4.2. Sort 1\/3, 4, 2, w.\nAnswer: w, 1\/3, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:21 AM and 2:48 PM?\nAnswer: 507","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 37 + -24. Suppose -u = 4*h - p, -4*h - 13 = -3*u + 2*u. Solve -4*c + 3*k = k + 14, -4*c + k - u = 0 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 479*f**3 + 440*f**3 - 950*f**3.\nAnswer: -31*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-14)\/35)\/((-7)\/5).\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -7.85018402 to 4 dps.\nAnswer: -7.8502","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -165429, -163865, -162303, -160743?\n\"Answer: -u**2 + 1567*u - 166995","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 29?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does 81 divide 2974167?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -1\/9, 0.05, -0.1, -96\/11?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 574179695?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = 8*h**2 - 3*h. Let k(u) = 271*u. Calculate k(s(v)).\nAnswer: 2168*v**2 - 813*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {h: 2, y: 5, r: 7}. Give prob of sequence rrh.\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1452 and 54.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = 1. Let a(k) = 2*k**2 + 4*k - 20. Let m(z) = 2*a(z) + 28*d(z). Factor m(f).\nAnswer: 4*(f - 1)*(f + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1a (base 16) to base 8.\nAnswer: -32","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/7, 1.4, -3, 0.2, 12, -4\/9 in decreasing order.\nAnswer: 12, 1.4, 0.2, -2\/7, -4\/9, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*-5*-3*(3*((sqrt(396) + 1 + sqrt(396))*-4 - (-4 + sqrt(396))*-4))**2.\nAnswer: 388800*sqrt(11) + 2728080","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -12*1\/8 - 2012\/88. Is -23 less than g?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 103 <= -219?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = -326*o - 2277. Let v be p(-7). Solve 2*t + 2*c - 4 = 0, v*t + 2*c = 4*t for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 28*b**2 + 16*b + 16\/7.\nAnswer: 4*(7*b + 2)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1658236624 to the power of 1\/4, to the nearest integer?\nAnswer: 202","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 109 + -107. List the prime factors of 1\/o*-4 + 6.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*g - y = 4*g + 43, -2*y = 6. Let d = g - -13. Solve -d = 5*c + 2*n, -2*c - 4*n + n = 10 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3ec65 (base 15) to base 10.\nAnswer: -201920","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 45129 - 20112. What is the greatest common factor of o and 93?\nAnswer: 93","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 703651 is divided by 351822?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find a such that 102*a**3 + 76290*a**2\/11 - 239394*a\/11 + 1278\/11 = 0.\nAnswer: -71, 1\/187, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -7*s**2 + 4*s**2 + 26*s**2 to the form u + n*s + b*s**2 and give b.\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence omc when three letters picked without replacement from cmgmmgocgog?\nAnswer: 2\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sum -5 and -33.956752869.\nAnswer: -38.956752869","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*r + 3*r - 4*r)*(-340 + 690 + 558*r - 350 - 1960*r).\nAnswer: -2804*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 30\/4*((-504)\/340 - (-30)\/(-255))?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -11 + 11. Put 2, l, 6 in decreasing order.\nAnswer: 6, 2, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-140*d**3 + 67*d**3 + 68*d**3 - 3*d**2 + 9*d)*(d - d + 2*d) to the form g*d**4 + v*d + f*d**3 + q + x*d**2 and give g.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*z + 4*z + 17 = 3*q, 10 = 5*q - 3*z. Does 16 divide 308\/(-231)*(-49 - q)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -5572 + 5698 + 1 + -31.\nAnswer: 96","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21666 = -57*z + 3471. Calculate the highest common factor of z and 1638.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-58*c**2 + 132*c**2 + 24*c**2)*(-32 - 79 + 63)*(-1 - 3 + 3) in the form o + p*c + w*c**2 and give w.\nAnswer: 4704","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 8 - (-39 - -7)\/(-4).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(65)\/(1*sqrt(5)*-2)*2.\nAnswer: -sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 740738 divided by 740738?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7088782050?\nAnswer: 2, 3, 5, 7, 47, 47881","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*i**4 + 3*i**3 - 3*i**3)*(-4*i + 5*i - 3*i)*(-3 + 6 + 6).\nAnswer: -36*i**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 7*p**2*w**2*y - p**2*w + 13*p*w**2 - 10*w**2*y wrt y.\nAnswer: 7*p**2*w**2 - 10*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) be the first derivative of -u**2 + 54*u + 408. What is j(19)?\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -24353 - -24381. Solve 8*u + x = 4*u + 4*v, -4*u + v = 28 for u.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*r - 3*r - 3*r)*(0*r + 3*r - 2*r) - 1 - 2*r**2 + 1 + 4*r - 2*r**2 - 4*r + (-2*r + r + 4*r)*(-4*r + 0*r + 6*r).\nAnswer: r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10*n - 2821*n**2 + 1404*n**2 + 1414*n**2.\nAnswer: -3*n**2 - 10*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = -m**2 - m - 3 - 4*m + 9. Let g(d) = 6*d - 2*d - d + 10 - 4. Let w be g(-4). Determine h(w).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 3223 and 1465?\nAnswer: 293","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 0 - -21?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -25310 + -35?\nAnswer: -25345","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 49? (a) 110 (b) -0.2 (c) 0.5 (d) -1\/6 (e) 5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bbu when three letters picked without replacement from {u: 19, b: 1}.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2527*z = 5047 - 60641 for z.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 33 a factor of 495?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1 + 1101010110?\nAnswer: 1101010111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.4, -53\/13, -3, -4\/3, -1, 8 in decreasing order.\nAnswer: 8, 0.4, -1, -4\/3, -3, -53\/13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 30*h = 35*h, h = -4*b + 16 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 571 - 565. Calculate the remainder when 47 is divided by k.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14 = 2*j - 12. Suppose 67*d - 223 = -2*a + 62*d, 3*a - 306 = 2*d. What is the greatest common factor of j and a?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 154548 and 212?\nAnswer: 212","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = -l - 1. Let u(n) = 9*n - 19. Let y(p) = -8*p + 28. Let o(m) = 3*u(m) + 2*y(m). What is o(f) - 2*t(f)?\nAnswer: 13*f + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find x such that 16\/7*x - 18\/7*x**2 + 0 + 2\/7*x**3 = 0.\nAnswer: 0, 1, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 3 (b) -10 (c) 0 (d) -2\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 31026?\nAnswer: 2, 3, 5171","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 452, -312, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0017429 rounded to four dps?\nAnswer: -0.0017","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -8 - (5 + -26 + -3)\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b + 16*m + 546 = 17*m, -2*b + 3*m + 538 = 0. Is 15 a factor of b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -10330000 rounded to the nearest 1000000?\nAnswer: -10000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = 3*g**2. Let k(b) = 7*b + 0*b - b. Give k(v(a)).\nAnswer: 18*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 970064 - (4 - 2) - -1. Suppose 5*x - 11355368 + u = 0. Let z = 1137061 - x. Round z to the nearest 100000.\nAnswer: -900000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 6\/24*8\/(-150). Let z = 53\/20850 + y. Let x = z - 397\/14734. Which is smaller: x or 0?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -419\/3 + 141. Let n = 3.271 + -2.271. Which is bigger: n or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w**5\/7 - 552*w**4\/7 + 40226*w**3\/7 - 294276*w**2\/7 + 470072*w\/7 - 215472\/7 = 0. Calculate w.\nAnswer: 1, 6, 134","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = 3*t + 113. Let d be c(-35). Solve 3*b = 3*g + 2*b - 11, -2*b - d = g for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 275.3192693 rounded to 1 decimal place?\nAnswer: 275.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m = -9 - 0. Let v = 21 + m. What is the units digit of 3\/(1*v\/8)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 220143, 219950, 219757?\nAnswer: 219564","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = -9*i - 41. Let j be y(-14). Let l = j - 81. Let o = 160 + -100. What is the smallest common multiple of o and l?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 619943?\nAnswer: 61, 10163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = -2*w - 3. Let k(r) = -3 + 8*r - 3*r + 0*r + 9. What is -3*k(n) - 7*v(n)?\nAnswer: -n + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 1455145 divided by 3?\nAnswer: 1455145\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 2171, 8685, 19533, 34709, 54207, 78021, 106145?\n\"Answer: -c**3 + 2173*c**2 + 2*c - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3927*d = -3987*d for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 0.6839366 from -1259346.\nAnswer: -1259346.6839366","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -31197597, -31197594, -31197577, -31197540, -31197477, -31197382, -31197249?\nAnswer: -31197072","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = 2*o**2 + 3*o + 3. Suppose -3*z + 260 = 2*z. Suppose 0 = 3*v + 4*k - z, -4*k - 65 = -4*v - 5*k. Suppose m + 5 = d, -2*m + 5*d = d + v. Determine n(m).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*k**2 + 6*k**2 - 13*k + 11*k in the form z*k + l + u*k**2 and give z.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express -147*t**2 - 12*t + 2 + 2*t + 179*t**2 - 3*t**4 + 2*t**4 + 3*t as x*t**4 + q + h*t + o*t**2 + r*t**3 and give q.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 1128 to the power of 1\/2, to the nearest integer?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) be the second derivative of a**4\/12 + 340*a**3\/3 + 57800*a**2 + 1684*a. Factor w(t).\nAnswer: (t + 340)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-2 - (-8)\/5) + 5016\/2640\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in w**3 - 343*w + 544*w - 201*w.\nAnswer: w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 3, -40, -223 in increasing order.\nAnswer: -223, -40, 0, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.331939 rounded to one decimal place?\nAnswer: 1.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3 + -1 + -12 + 15 - -1?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 600?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2*o**6 - 15*o**4 - 324*o**2 wrt o?\nAnswer: -240*o**3 - 360*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put 7, 14222, -3 in descending order.\nAnswer: 14222, 7, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = -11*k. Let c(x) be the second derivative of -11*x**4\/6 - 257*x. What is c(f(g))?\nAnswer: -2662*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 684, 688, 694, 702, 712?\nAnswer: 724","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -51*s + 133*s - 64*s + 36*s**5 wrt s.\nAnswer: 720*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 2086 and 28?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -23344, -93688, -210942, -375118, -586228, -844284, -1149298?\nAnswer: -1501282","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g = -3*g - 5*y - 66, -20 = 5*y. Let s = -79 - g. Round s to the nearest 10.\nAnswer: -60","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 588 minutes after 11:36 AM?\nAnswer: 9:24 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = -4*b**5 - 6*b**4 - 11*b. Let d(t) = 3*t**5 + 5*t**4 + 11*t. Let j(r) = -6*d(r) - 5*q(r). What is the second derivative of j(g) wrt g?\nAnswer: 40*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 3 + (0 - 0) + -2 + -1. Suppose b = 4*r - 5*o + 2 + 3, 0 = -2*o + 10. Solve z = r*z for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 220042819 by -1.\nAnswer: -220042819","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 divided by 17178?\nAnswer: -1\/8589","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 65011 to the nearest integer?\nAnswer: 255","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 393\/19 - 24\/(-76)?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 2\/6429 + 424276\/122151. Let a = w + -1084\/323. Factor a*j**3 + 0*j + 0 + 6\/17*j**2.\nAnswer: 2*j**2*(j + 3)\/17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 249.25 - -4.75. Let o = -246.44 + w. Round o to one dp.\nAnswer: 7.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1 or 21\/2930180?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0 - 2. What is the units digit of (3\/f)\/(9\/(-204))?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1144474?\nAnswer: 2, 17, 41, 821","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand -5*z**3 - 7*z**3 + 21*z**3 - 3*z**3 - 2*z**3 - 5*z**3 + (-z**2 - 3*z**2 + 5*z**2)*(-9 + 9 + 2*z) - 4*z + 4*z + z**3.\nAnswer: 2*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -44027*i**2*o**2 - 4*i**2 + 4117*o wrt o.\nAnswer: -88054*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1745*j - 4581 = 65219 for j.\nAnswer: -40","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 425 + -424.5. Which is the second biggest value? (a) 2.3 (b) v (c) -0.06\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3273649324 a multiple of 44?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(80))**2 + -3 + (sqrt(5) - (1 + sqrt(80)))**2.\nAnswer: 6*sqrt(5) + 123","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1 + 8. Suppose -2*r + 10 = n, -27 = -4*r - 3*n - 5. Suppose -1 = -w - r*i - 6, -2*w + 4*i + 14 = 0. Solve w*t - 8 - f = 0 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 519702 and 1110?\nAnswer: 222","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 4 + 18. Suppose -3*q = c + 5 - w, 2*q = c - 2. Suppose c*s - 5*s = 18. What is the units digit of s?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 3\/2 - 7\/4*p + 1\/4*p**2 = 0. What is p?\nAnswer: 1, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = -8*u - 72. Let q(k) = 17*k + 162. Let g(h) = -4*q(h) - 9*x(h). Let f = -15 + 18. Let r(z) = 3*z - 3*z + f*z - 7*z. Give r(g(n)).\nAnswer: -16*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 89 + -89. Let b = 4 + w. Suppose 2*l = b*c + 4*l - 84, 4*c - 2*l - 84 = 0. What are the prime factors of c?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*g**2 - 14*g - 12*g - g**2.\nAnswer: -g**2 - 26*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -31\/234136 and 83\/7994072.\nAnswer: 55958504","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand -t - 4*t + 3*t + 5*t - 3*t + 12*t + (2*t + t - t)*(-2 + 0 + 1).\nAnswer: 10*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 77177 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -11 - -11. Suppose w = -8*b + 4*b - 28. Let r = -6 - b. Let z(g) = 10*g**2 - g + 1. Give z(r).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = z**2 - z - 8. Let y be r(4). Let f = 0.9 + 1.5. Let d = -0.6 - f. What is the closest to -1 in y, d, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 448960194.\nAnswer: 2, 3, 29, 860077","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 126623025 to the nearest integer?\nAnswer: 502","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:06 AM and 12:08 AM?\nAnswer: 2","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4441 is divided by 82?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 51727289?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Divide -6 by -445.\nAnswer: 6\/445","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 3221219 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*r = -4*y + 20, 3*r = -4*y - 5 - 3 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 2 + -7. Let u = 15 - 15.3. Which is the biggest value? (a) u (b) -0.1 (c) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 9 + 1 - ((7 - -6) + -7).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 9\/12 - 2\/8. Let o = -5 + 10. Let h = 0.44 + 1.56. What is the closest to -2\/7 in h, o, f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 475*f + 54*f - 22373 = 27702 + 9173 for f.\nAnswer: 112","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8.40327l to millilitres.\nAnswer: 8403.27","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 989?\nAnswer: 23, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(sqrt(19) + -6*(2*sqrt(19) - sqrt(19))) + (2 + sqrt(19))*1 + -2.\nAnswer: 16*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 134512.\nAnswer: 2, 7, 1201","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-165)\/12 - 1\/4. Suppose 30 + 6 = -2*u. Let s = m - u. Solve 20 - 4 = s*t for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -12, -22, -16, 12, 68, 158?\n\"Answer: h**3 + 2*h**2 - 23*h + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ifnb when four letters picked without replacement from {i: 1, f: 2, n: 6, c: 2, b: 4}?\nAnswer: 2\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = -3*j + 624 - 1438 + 851. Let k(t) = t - 12. Determine 7*k(u) + 2*n(u).\nAnswer: u - 10","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 5 + 40\/18 - (35 - 28). Let t(f) = -f**2 + f. Let v be t(1). Which is greater: j or v?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -3544 + 6673. What is the hundreds digit of y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -302*n = -107*n - 412230. Does 67 divide n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {i: 4, k: 3, f: 6, h: 2, j: 1}. Give prob of sequence kji.\nAnswer: 1\/280","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1426 - -27587. List the prime factors of o.\nAnswer: 26161","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 7048014?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 15 - -2 - (4 + (0 - 1) + 1)?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -0.4 (b) 0.4 (c) 4 (d) -2\/225\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -3 - 15. Suppose -1659*i + 64 = -1655*i. Let o = i + u. Which is the fourth biggest value? (a) o (b) 2\/3 (c) -0.4 (d) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (8\/(-4))\/(16\/(-2))*1. What is the nearest to 0.2 in 40, 3, d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 203057 to the nearest integer?\nAnswer: 59","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (94 - 230 - 166)*(0*i + 2*i + i)*(0 + 1 + 0) to y + f*i and give f.\nAnswer: -906","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -91137869 + -0.09?\nAnswer: -91137869.09","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 6 - -34. Suppose i = o - 71. Suppose -3*a + 114 = d, -3*a - d + o = d. What is the tens digit of a?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*t**2 + 4782*t - 4784.\nAnswer: 2*(t - 1)*(t + 2392)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = 6*r**2 - 6*r + 96. Let v be q(8). Let u = 8641\/20 - v. What is the second smallest value in -4, 5, u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.01237672 to 5 decimal places.\nAnswer: -0.01238","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = -2*w**3 - 3*w - 1. Suppose 19*g - 23*g + 16 = 0. Let k(y) = 2*y**3 + 4*y. Calculate g*c(m) + 3*k(m).\nAnswer: -2*m**3 - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (6 - 8 - (-69)\/(-21)) + (-31)\/(6510\/(-60)).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 107035 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 9.150523 millilitres?\nAnswer: 0.009150523","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*n - 5*m - 10 = -17, m + 1 = 0 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -333*u + 244*u = -2225 for u.\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 48 a factor of 620128785?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2839?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 20\/110 + (-225)\/(-33). Suppose 30*j - 28*j + 2 = 0. Put q, 3, j, 1 in descending order.\nAnswer: q, 3, 1, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -90 - -84. Let s = -198.9 - -199. What is the second biggest value in -4, -2\/5, s, m?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 47 + -47.37. Let l = -2.03 - -2. Let t = l + j. Sort t, 0.3, -0.3 in decreasing order.\nAnswer: 0.3, -0.3, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*t + 3*t - 1. Let g(v) = -11*v**2 + v. Calculate g(t).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence aoo when three letters picked without replacement from {g: 1, y: 2, o: 2, a: 1, e: 1}.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -23*z**5 - 5*z + 5 - 4*z**5 + 18418*z**4 - 18418*z**4 - 70*z**5 wrt z.\nAnswer: -1940*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 61 - 33. Suppose 0 = g + 2, -3*g = 6*n - 7*n + 86. Calculate the remainder when n is divided by o.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(3\/7)*y)\/y**(-2\/71) assuming y is positive.\nAnswer: y**(724\/497)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16*x - 4*a + 2*a + 80 = -7*x - 0*x - 14*x, 20 = 4*a for x.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 26 and 1625.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 10 + -6. Suppose -i*n - 60 = -n. Let m = -4 - n. List the prime factors of m.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -467737, -935458, -1403181, -1870906, -2338633?\n\"Answer: -d**2 - 467718*d - 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d - 3*u + 70 = 0, -u + 21 = -2*d - 15. Let a = 45 + d. Suppose 2*k + 4 - 160 = 0. What is the greatest common factor of a and k?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17 + 46 = 7*t. Calculate the remainder when t is divided by 4.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 83737 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify a**(-12)\/(a**10\/a)*(a**(1\/2))**29 assuming a is positive.\nAnswer: a**(-13\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = -45*c - 3396. Let r be q(-19). Which is bigger: -2539 or r?\nAnswer: -2539","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 10903 from -2245633025.\nAnswer: -2245643928","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = -20*o**2 - 12*o + 12. Let n(t) be the first derivative of -8*t**3\/3 - 5*t**2\/2 + 5*t - 1767. What is -12*n(f) + 5*w(f)?\nAnswer: -4*f**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -0.04, -93, 0.29 in ascending order.\nAnswer: -93, -3, -0.04, 0.29","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 23\/335 and -8\/15?\nAnswer: 1005","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor -8*p**2\/5 - 13265708*p\/5 + 6632856\/5.\nAnswer: -4*(p + 1658214)*(2*p - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 2\/((0 + 3)\/6). Let v be 1\/4 - 44\/(-16). Suppose 8 = j*s - v*s. Calculate the remainder when 15 is divided by s.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 14 + -13. Let d be (-1508)\/378 - 0 - (27 - 31). Which is smaller: d or t?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -13.5 * 0.02104.\nAnswer: -0.28404","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*h**4 + 133 - 268 + 132 + 197*h in the form w*h**2 + a + j*h + x*h**3 + y*h**4 and give j.\nAnswer: 197","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1 (base 14) to base 15.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3)\/(-16)*7340\/(-11010)*2\/(-5).\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 355, 989, 1623, 2257, 2891, 3525?\nAnswer: 4159","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 12.7193 rounded to 1 decimal place?\nAnswer: 12.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -240? (a) -5 (b) -1\/660 (c) -2\/9 (d) 5\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 467637 to the power of 1\/3, to the nearest integer?\nAnswer: 78","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/3? (a) -2 (b) 56\/67 (c) 2\/9 (d) 0.4 (e) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s + 6*s = -5*t - 1, -4*t + 1 = -s. Suppose -8*k - 6*k - 21*k = k. Sort 65, s, k, 3.\nAnswer: s, k, 3, 65","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) be the first derivative of 935*p**4\/2 + 3446*p - 489. What is the first derivative of y(w) wrt w?\nAnswer: 5610*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 367933*w**2 + 1434865*w + 2 wrt w.\nAnswer: 735866","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 0, 256.\nAnswer: 0, 3, 256","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 88 minutes before 8:46 PM?\nAnswer: 7:18 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from pjpjpjjjjjjpjjjp. Give prob of picking 2 p.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*t = -7*t + 125. What are the prime factors of t?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 6 by 13.\nAnswer: 6\/13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 11740 divided by 4\nAnswer: 2935","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d - 4*p = -0*d + 23, 4*d + 16 = -2*p. Let l be d - 21 - (0 + -3). Let f = -5 - l. Calculate the remainder when f is divided by 6.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -10, -64, -162, -310, -514, -780, -1114, -1522?\n\"Answer: -h**3 - 16*h**2 + h + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (7 - 6) + -5 + 2 + -14 + 2.\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 5, -4, -2, -35, -10 in decreasing order.\nAnswer: 5, 4, -2, -4, -10, -35","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = -o**3 - 2*o**2 + 13*o - 5. Suppose -t + 3*s - 20 = 0, 0 = -t - 4*s - s + 20. Let x be d(t). Solve -x*v - 9 - 16 = 0 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1351715 micrograms in tonnes?\nAnswer: 0.0000000000001351715","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -39083 - -1?\nAnswer: -39082","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -3658 + 3920. Sort 0, b, -2 in increasing order.\nAnswer: -2, 0, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 62188996*o**2 - 804372*o + 2601.\nAnswer: (7886*o - 51)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 6927 - 12444. What is r rounded to the nearest one hundred?\nAnswer: -5500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) be the second derivative of 4*j**7\/7 - j**4\/2 - 34*j. Find the third derivative of t(w) wrt w.\nAnswer: 1440*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 12\/5, -2, -1, -0.03.\nAnswer: -2, -1, -0.03, 12\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -34 - -38. Suppose l = 3*l - 3*h - 18, 4*l = -u*h + 16. Solve 21 = -5*n + l for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 28*j - 19*j + 28*j + 24*j.\nAnswer: 61*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + -2 + ((2 + (3 + sqrt(128))*6)*6 + -2)*-1)**2.\nAnswer: 70848*sqrt(2) + 181017","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 6, -1, -223, -5, 2, -6 in ascending order.\nAnswer: -223, -6, -5, -1, 2, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 1\/2, -1\/75, -0.3, 2, 0.01, -0.1, -2\/25?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*h + 6*h**2 - 2*h)*((-1 + 3 + 0)*(-1 + 3 + 0) + 2 - 1 - 2)*(4*h - 2*h + 0*h).\nAnswer: 36*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = k + 2*w + 239, 3*w + 294 = -2*k - 186. Let o = k + 362. Is o composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 1006309 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q\/(q*q**18))\/q)\/q**7 assuming q is positive.\nAnswer: q**(-26)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c*c\/(c\/(c\/((c**(1\/14)\/c)\/c)))*c)**2 assuming c is positive.\nAnswer: c**(69\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1165.4 - -1165.388724. What is d rounded to 3 dps?\nAnswer: -0.011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = -52*z + 20. Let p(u) = 31*u - 12. Let c(v) = -3*l(v) - 5*p(v). Let g(b) = -5*b**2 - b - 2. What is 3*c(d) + g(d)?\nAnswer: -5*d**2 + 2*d - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -12, -9, -14, -27, -48?\n\"Answer: -4*f**2 + 15*f - 23","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 5 - 4. Let q(r) = -r**3 - 5*r**2 - 4. Suppose 4*t - 5 + 0 = 5*z, -4*z = 20. Let m be q(t). Which is the nearest to d? (a) -2 (b) m (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 14674, 58539, 131418, 233119, 363450, 522219, 709234?\nAnswer: 924303","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:20 PM and 11:25 PM?\nAnswer: 185","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = -5*a + 15. Give z(-8).\nAnswer: 55","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand -v**4 - 2*v**4 + 5*v**4 + (v - 3*v + v)*(-2*v**3 + 1 - 1) + (0*v**3 + 5*v**3 - 3*v**3)*(-11 + 11 - 4*v) + v**4 - 18 + 18.\nAnswer: -3*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert 20.1194 millilitres to litres.\nAnswer: 0.0201194","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j = 4*s, -6*j = -j - s. Let w be (3 + -1)\/((-179)\/179). Sort w, j, -0.2 in ascending order.\nAnswer: w, -0.2, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3\/(-6)*2*4\/(-14).\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = 20*x**3 + x. Give p(-1).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = 29*p + 35*p**2 - 15*p - 7 - 10. Suppose -4*n = -2*l + 14 - 88, 3*l + 43 = 2*n. Let o(c) = -12*c**2 - 5*c + 6. Let s(u) = n*o(u) + 6*x(u). Give s(1).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -6, -15 in decreasing order.\nAnswer: -1, -6, -15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 3 (b) -1 (c) 4 (d) -0.1 (e) 2\/297\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 5.5081 times 5\nAnswer: 27.5405","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -1 + 6 + -12 + 4 + 0 - -6\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v - 842 = -2*w + 347, -4*w - 4*v + 2336 = 0. What is the hundreds digit of w?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = -2*s - 2*s. Let t be 1 + s - 1*-2. Let y = t - 5. Solve -2*v + 7*v - 3*b - 20 = 0, y = 2*v + 3*b + 13 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-101)\/9 + 11 + 0 + (-4)\/63.\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 21*h**2 - 36*h**2 + 63*h**3 + 15*h**2.\nAnswer: 63*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -501 + -1929. Let n be (-2510)\/i + 2\/(-2). Let c = -15293\/486 - n. What is the common denominator of -1 and c?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((b\/(b\/(b\/b**(-1))*b)*b)**(-11\/3)\/(((b\/(b*b**4))\/b)\/(b\/b**(-12))))**(-1))**(-1\/3) assuming b is positive.\nAnswer: b**(32\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = -2731*f**2. Let v(i) = -3*i**2. Give v(d(q)).\nAnswer: -22375083*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = -4*y**3 - 2*y - 2. Suppose 0 = 2*t - 1 - 15. Suppose -7*n + 3*n = t. Is 11 a factor of f(n)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -458, -461, -466, -473, -482?\nAnswer: -493","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 966 and 9.\nAnswer: 2898","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -37, 0.2, -3\/2, -1, 16, 24\/11?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = -b**2 - 334*b + 2515. Give w(8).\nAnswer: -221","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -8\/127 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 102314 - 102314.0899965. Let i = -0.09 - k. Round i to 6 dps.\nAnswer: -0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.022 * -4.\nAnswer: -0.088","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 9619 + -9615. What is the second biggest value in 1\/4, 2, w, -3?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -3 * -2.3023412.\nAnswer: 6.9070236","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -0.12146142544 - 1.1407\nAnswer: -1.26216142544","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -81 divided by 27\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -8 + 753?\nAnswer: 748","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort 127, 5, -3, 1, -1, -9, -2 in ascending order.\nAnswer: -9, -3, -2, -1, 1, 5, 127","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 w and 1 q when two letters picked without replacement from {q: 1, l: 1, w: 4, u: 1}.\nAnswer: 4\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_test"},"subset":"dm_maths"} +{"text":"Question: Is 1080 a multiple of 30?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -170025 and -0.38.\nAnswer: 64609.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3\/1363? (a) 2\/15 (b) -0.1 (c) 5\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*r + 62 + 28. Calculate the remainder when r is divided by 16.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -14 - 435*c + 0*c**3 + 1161*c - c**3 - 549*c.\nAnswer: -c**3 + 177*c - 14","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -480*q + 2*q**3 + 859*q - 14*q**2 - 1 - 395*q to the form o*q**3 + k*q**2 + p*q + l and give o.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: (5 - 1) + (-20 - (-17 - 4)) + -23\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pgpg when four letters picked without replacement from {g: 4, z: 7, p: 4}?\nAnswer: 2\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 470 divided by 94?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 58 and 8?\nAnswer: 232","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 410?\nAnswer: 2, 5, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = -t**2 - 3*t. Let z = 9 + -3. Let a(r) = -r. Let y(f) = z*a(f) - 2*k(f). Let o(h) = 2*h. Give o(y(m)).\nAnswer: 4*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 965 is divided by 899.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = -5*m**2 - 2*m + 0*m + m**3 + 2*m**2. Let g be v(4). Let w be 1\/4 + 46\/g. What is the highest common divisor of 24 and w?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -2, -34, -4, 5\/11, 99, -3\/5?\nAnswer: 5\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 36\/14 + (-16)\/28. Solve 5*h - w*k = 30, 2*h = -5*k + 4*k + 3 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 2 and 12.68082.\nAnswer: 25.36164","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express v**2 - 5*v**2 + 10*v**2 + (-v - 4*v + 4*v)*(-2*v - 4*v + 4*v) - v**2 + v**2 + v**2 + (4*v - 1 + 1)*(2751 - 2751 + 95*v) as s*v**2 + c + d*v and give s.\nAnswer: 389","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = n**3 + 3*n**2 + 8*n + 67. Give b(-5).\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 + (2 - -7 - 4).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2001021 (base 4) to base 10.\nAnswer: 8265","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2272*v + 36 = 2290*v. Let j = 20 - 5. Suppose 5*u - i - j = 0, -2*i = -2*u - 4*i - 6. Solve -3*y + v*y = -u*b - 9, -5*y = 2*b + 3 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(2448)*-3 + -4 - (-1*(sqrt(2448) - ((-3 + sqrt(2448) - sqrt(2448)) + sqrt(2448)) - sqrt(2448)) - sqrt(2448)))*-4*-3 + 3)**2.\nAnswer: 7776*sqrt(17) + 3172689","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (6\/4)\/((-19)\/(-38)) - -1?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-6 + -13 + 1)*(-2)\/(-6)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 968?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -83 - -1127?\nAnswer: 1054","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j - 19 = -4*r, 3*j = -r - 3 - 2. Let g(y) be the second derivative of y**5\/20 - y**4\/3 + y**3\/6 + 3*y**2\/2 + 3*y. What is g(r)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) be the second derivative of 2*t + 0*t**5 + 0 + 3\/2*t**3 + 0*t**2 + 11\/30*t**6 + 0*t**4. Find the second derivative of c(i) wrt i.\nAnswer: 132*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 12609509 is divided by 68?\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -57874\/9 or -6431?\nAnswer: -6431","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (13*j + 18*j - 22*j + j**2 + 16*j)*(7 - 9 - 3) to t*j**2 + f*j + a and give t.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l - 52 - 40 = 4*w, -2*w - 60 = -2*l. Let v be (644\/115)\/(8\/160). What is the greatest common divisor of l and v?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = -3*x - 4. Suppose 4*p - 2 = 5*q, 0*p + 2*p = 3*q + 2. Let s be v(p). Suppose -n = s*n - 24. Solve 3*j = -n - 1 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -92 + 148. What is the remainder when o is divided by 19?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 165850425 to the power of 1\/5, to the nearest integer?\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(130) + (5*sqrt(130)*1 + sqrt(130) - sqrt(130)) - sqrt(130))\/(sqrt(120)\/(sqrt(12)*1)).\nAnswer: 5*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 859189?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 40 and 13120.\nAnswer: 13120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from rqrrrqrq. What is prob of picking 1 r and 3 q?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*a - 2*a**3 + 5*a)*(1 + 1 - 4) + (-3*a + 3*a + 2*a**2)*(406*a - 267*a - 247*a) + 0*a**3 + 4*a**3 - 3*a**3.\nAnswer: -211*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 167033 - 167065.000072. Let x = 40 - 8. Let q = c + x. Round q to five dps.\nAnswer: -0.00007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*m + 3*m = 0. Suppose m = 4*s - 12. Suppose 0*k = s*k - 9. Solve 0 = -w - k*w - 20 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -2 + 16*p**3 - 37*p**3 + 2*p + 15*p**3 + 8*p**3 + p**2 in the form k*p**3 + h*p + i*p**2 + y and give y.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = -5*s. Let q(r) = r**2 - 136*r. Calculate q(h(a)).\nAnswer: 25*a**2 + 680*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) be the first derivative of l**5\/120 + l**4\/6 - 35*l**3\/3 - 175. Let o(f) be the third derivative of v(f). Determine o(3).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k**4\/4 - 349*k**3\/4 - 45709*k**2\/4 - 132539*k\/4 + 44649 = 0. Calculate k.\nAnswer: -99, -4, 1, 451","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1677, -7924, -18743, -34134, -54097, -78632?\nAnswer: -107739","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 61916 is divided by 1066?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -4110681*o + 2454895 wrt o.\nAnswer: -4110681","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 300 and -0.2412.\nAnswer: -72.36","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -130\/3 - -43. Let p be 28\/(-4) + (11 - -1). Let d = 0.1 + -0.2. What is the nearest to v in -2, d, p?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 12.4 - 16. Let k = i - 0.4. What is the third smallest value in 0.2, k, -1\/2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 19659849683 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-2)\/11 - 2\/((-770)\/(-205)). Which is the nearest to 1? (a) -5 (b) 3 (c) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 169\/378 - 400255\/895104. Let p = r - -18083\/55056000. Let d = -151111\/54250 - p. Calculate the common denominator of -29\/12 and d.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: (108 - 103 - (-2 - -22)) + -16\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((u*u\/u**(-1\/12))\/(u**(2\/11)\/u))\/(u*u*u\/u**1)**(5\/2))\/((u\/((u*(u*u*u*(u\/u**1)\/u*u)\/u)\/u*u))**(-19))**(-5) assuming u is positive.\nAnswer: u**(24803\/132)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 435 and 2523?\nAnswer: 87","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = 2*z. Let f(c) = 24*c**2 + 5*c + 5. Let x = -61 - -56. Let i(s) = -60*s**2 - 12*s - 12. Let g(b) = x*i(b) - 12*f(b). Determine g(d(v)).\nAnswer: 48*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5\/4, -0.9, -1579, 0.1, 5 in descending order.\nAnswer: 5, 5\/4, 0.1, -0.9, -1579","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is w in -5*w**4 - 630*w**3 + 12375*w**2 + 3476500*w + 80197500 = 0?\nAnswer: -85, -30, 74","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) be the third derivative of -1\/8*j**3 + 1\/48*j**4 + 4*j**2 + 1\/240*j**5 + 0*j + 0. Determine a so that k(a) = 0.\nAnswer: -3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-1)\/((-21)\/(-2)))\/((-1554)\/11655).\nAnswer: 5\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 10578\/42312*1\/(-4).\nAnswer: -1\/16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 622767?\nAnswer: 3, 207589","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in 84, 3\/155, 3\/5, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = -x**3 - 7*x**2 + 17*x - 6. Suppose m = 5*p - 34, 0*m = 2*m + 2*p + 8. Let f be l(m). Let j(u) = -u - 1. Let q be j(-3). Solve f*r - q = 4 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) be the third derivative of 0*r + 0*r**4 + 0 - 1\/60*r**5 + 1\/120*r**6 - 3*r**2 + 0*r**3. Find the third derivative of v(l) wrt l.\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*m = 2*q - 4*q + 16, 4*m = -4*q + 8 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -70 + 84. What is the hundreds digit of ((-7)\/z)\/(8\/(-13248))?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r + 182 = 2*i, -4*r + 5*r + 350 = 4*i. What is the remainder when i is divided by 48?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 15006.762 minutes in hours?\nAnswer: 250.1127","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -2257 - -4365. Suppose 2267 + 539 = 4*v + 3*k, g = 3*v + 4*k. What are the prime factors of v?\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-2)\/(-6))\/(2\/2). Which is the smallest value? (a) s (b) 1\/4 (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 304 + -301. Find the third derivative of 1 - 20*m**2 + 1507*m**d - 1384*m**3 - 3 wrt m.\nAnswer: 738","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -9a (base 12) in base 9?\nAnswer: -141","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -4 - 0 - ((-5 - -15 - 17) + 2).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from pqozdoopopqqpp. Give prob of sequence qoz.\nAnswer: 1\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 4852 to the power of 1\/2, to the nearest integer?\nAnswer: 70","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4028962 divided by -108.\nAnswer: 2014481\/54","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 3579444 and 5227948?\nAnswer: 5764","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -10001010010 - -1010?\nAnswer: -10001001000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from vvvvvvqvvqqvpqvqqvp. Give prob of picking 2 q and 1 v.\nAnswer: 55\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1600\/9 - 178. Let j = 458.5 + 95.5. Let b = j - 549. What is the fourth biggest value in b, t, -1\/6, 0.1?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 69383493?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_test"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m*m\/(m\/(m**(2\/7)*m))*m)\/(m**(-3\/5)\/m))\/(m**(-1\/2)\/m**(-9)) assuming m is positive.\nAnswer: m**(-253\/70)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z + 5*k = 23, 4*z + 2*k - 3 = -1. Let h be 1\/3*(7 - z). Suppose h*j - 35 = 16. Does 9 divide j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u*(u**13*u)\/u)**48 assuming u is positive.\nAnswer: u**672","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round 42712.55 to the nearest 1000.\nAnswer: 43000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = 3*y + 7. Let q(a) = -a**2 + 18*a + 1. Let m be q(18). Let o(t) = -t - 2. Let l be o(m). Let p be x(l). Let b(v) = -2*v - 2. Give b(p).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = -43448*z**2 - 868958*z + 43. Calculate t(-20).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7560*a + 1873*a + 1857*a + 1870*a + 1956*a.\nAnswer: -4*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**10\/f*f)\/(f\/f**(5\/6))*(f**(-1))**(-5\/11) assuming f is positive.\nAnswer: f**(679\/66)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = -33*g**2 - 42*g - 33. Determine s(-1).\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 x and 1 z when two letters picked without replacement from zzxxxxxaz.\nAnswer: 5\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k - 5*d + 44 = 0, 5*d + 145 = 6*k - k. Suppose 5*n - k = -3*g, -n = -g - g + 5. Solve -x = -n*x + 5*z + 21, -2*x + 2*z = -12 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 270 and 50.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 1304 + 22251?\nAnswer: 23555","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) be the first derivative of -4416*b**2 + 12487*b - 8288. Differentiate v(w) wrt w.\nAnswer: -8832","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 39, 76, 113, 150, 187, 224?\n\"Answer: 37*s + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in g**2 - 730*g + 1430*g - 700*g + 5*g**2.\nAnswer: 6*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/9? (a) -6\/53 (b) 5 (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1 - 11 - (-441 - -398)) + (-10 - -2) + 5.\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = 3*b + 29. Let l be (28\/10)\/((0 + -18)\/90). What is k(l)?\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(1452) + sqrt(1452)*-1)*-2)\/((sqrt(60) + sqrt(120)\/(sqrt(2)*1) - sqrt(60))\/sqrt(10)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 186 + -164. What is the smallest common multiple of a and 20?\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.16273 to two dps.\nAnswer: 0.16","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8770.21 millennia to years.\nAnswer: 8770210","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 2477 - 1301. Suppose 0 = h - 0*h - 3*x + t, 4704 = -4*h + 3*x. Let g = 5854\/5 + h. What is the common denominator of g and 47\/13?\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2759153 or -2758810?\nAnswer: -2759153","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -11 + -1000110111011001101001?\nAnswer: -1000110111011001101100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = 1424*o + 1426. What is v(-1)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 7\/(((-2)\/(-7))\/2). Let v = q + -57. Let t be 4 + 4\/v*4. Solve -t*c + 7*c = 2*i - 9, -3*c = 3*i + 18 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 24 - -2?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -1, 2, 29, 1 in increasing order.\nAnswer: -2, -1, 1, 2, 29","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = y - 3269041 - 4080954. Suppose -8*o + 4899995 = -10*o - m, -3*o = m + y. What is o rounded to the nearest 100000?\nAnswer: -2500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*o = -3*q - 3*o + 3, 12 = 5*q - 2*o. Let a be -20 + 1*(2 + q). Round a to the nearest 10.\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 + 2 + (-13 - (-1 + -41)).\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z**(2\/11))**(-7\/6))**(-32) assuming z is positive.\nAnswer: z**(224\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -97\/4037904 and 25\/2106?\nAnswer: 12113712","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 5 + 13 + -9 - 34\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = w. Let n(o) = -10*o - 11. Let j(v) = -6*m(v) + n(v). What is the hundreds digit of j(-16)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2*g**3*h**3*i - 4*g**3*h**2 + 11323*g**2*h**3*i + 38*g**2*h**2*i + g**2*h*i - 2*g**2*h - 3*g*h wrt h?\nAnswer: -12*g**3*i + 67938*g**2*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 93 - 95. Let a be b\/((-56)\/220) - (-3)\/21. Solve 5*c + 15 = a*c for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand p + 0*p + 1 + p + (-1 + 1 + 2*p)*(1 - 3 + 3).\nAnswer: 4*p + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 142 minutes before 4:52 PM?\nAnswer: 2:30 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 + (-20 - (9 - 14)).\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/(-6)*-12*((-15)\/6)\/(-1)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dw when two letters picked without replacement from ddwdddddddddd?\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -8 + 7cdc195?\nAnswer: 7cdc18c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ccz. Give prob of picking 3 c.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 s and 1 l when two letters picked without replacement from {x: 2, y: 3, e: 2, s: 1, r: 1, l: 6}?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v + 132 = -2*z - v, 0 = -4*z + 5*v - 249. Let m be (z\/(-10))\/((-8)\/(-5000000)). Round m to the nearest 1000000.\nAnswer: 4000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = 0*r - 5 + 4*r - 10*r**2 - 2*r**2. Let m be p(3). Let l = -54 - m. Is 7 a factor of l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 311.7131ml in litres?\nAnswer: 0.3117131","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -14283*d**3*n**3 + 3*d**3*n + 9*d*n**3 + 565644*n**2 wrt n?\nAnswer: -85698*d**3 + 54*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.13 + -5.13. Let n = 413 - 418. Let k = x - n. Which is the closest to k? (a) -2 (b) -0.2 (c) 2\/23\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -19, -50, -125, -262, -479, -794, -1225, -1790?\nAnswer: -2507","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -15 + 14.7. What is the nearest to -1 in h, 5, -1\/4?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {l: 7, u: 3}. Give prob of picking 4 l.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1)\/2*(-48)\/(-8).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-196)\/84*(-13)\/(364\/24). Sort 5, l, -1, -5, 1 in descending order.\nAnswer: 5, l, 1, -1, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k + 6*k = 32. What is the greatest common divisor of 112 and k?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 1\/2, 43, 11\/147, -2\/5, 0.1 in ascending order.\nAnswer: -2\/5, 11\/147, 0.1, 1\/2, 1, 43","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = -h**3 + 20*h**2 + 2*h - 36. Let y(u) = -2*u + 42. Let n be y(11). Let j be m(n). Suppose j*x - 85 = -73. Solve -v = x*v - 8 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 38 and 4066.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 26.4 - 26.484. What is the third smallest value in -0.1, l, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w - 3*o - 7 = 0, -2*w - 3*o + 14 = o. Suppose 2*b + 11 = -5*m, -3*b + 0*m - 9 = w*m. Suppose z = 3*r + 212, b*r = 3*r. What is the units digit of z?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 10806 and 42.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 192.8 - 193. What is the nearest to n in -4, -28, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -5 - -7. Suppose 0 = -2*t - 5*s + 2 + 5, 0 = o*t - 5*s + 43. Let i(f) = f**3 + 9*f**2 - 2*f - 6. Is i(t) a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (5\/10)\/((-11)\/(-38)) and -79\/4.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 86610486 divided by -3.\nAnswer: -28870162","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -337, -1539, -3543, -6349?\n\"Answer: -401*w**2 + w + 63","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = 4*n**2 - 15*n + 73. List the prime factors of l(18).\nAnswer: 7, 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 8.5 + -11. Let f = w + 2. Let r = -0.4999997 - f. What is r rounded to six decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.85 - 0.15. Let f = 4.5 - 5. Let d = -2.8 + 3. Sort d, f, o in ascending order.\nAnswer: o, f, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 64 divide 7018?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) be the third derivative of -g**5\/60 + g**4\/4 - g**3\/6 - 2*g**2 + 8. Calculate n(5).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 1560983040?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b - 2*b + 50 = n, -2*b + 53 = n. Let c = n + -87. Let i = c + 35. What is the units digit of i?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-2018)\/((4\/(-402))\/(-5 + 64\/12)) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) be the first derivative of 5\/2*k**2 + 2\/3*k**3 - 2*k - 2 - 1\/4*k**4. Let n be r(3). Sort n, -5\/3, -3 in decreasing order.\nAnswer: n, -5\/3, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 63425698.\nAnswer: 2, 7, 647201","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 541 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 0 + 5)*(226*l - 7203 + 7203)*(2 + 1 - 4).\nAnswer: -904*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 315 minutes after 3:34 PM?\nAnswer: 8:49 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence obbs when four letters picked without replacement from {o: 3, v: 4, b: 2, s: 1}?\nAnswer: 1\/840","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1.717 + -2.217. Let y = -24 - -27. What is the nearest to y in -2\/11, 4, h?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1901 a factor of 934240?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_test"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1363.\nAnswer: 29, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -105390 - -105380. Let a = -4 - -7. What is the fourth biggest value in -0.4, a, l, 2\/5?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = -178*h - 27. Let y be x(17). Let g = -5757 - y. Let f = g + 4085. Is f a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*f = 6*w + 115, -3*w + 4*f - 1934 = -1878 for w.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = -f**3 - 3*f**2 - 3*f - 1. Let r be c(-3). Suppose 0 = s + 2*y + 4, s - 3*y - 1 + 0 = 0. Let j = s + r. What is the units digit of j?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1887 - 1122. Calculate the greatest common divisor of 34 and b.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2214.\nAnswer: 2, 3, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 12 + (-21 + 13 - (-2 + 1 - (-2 + 5)))?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 0.2+-772.3\nAnswer: -772.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 140999 to the nearest integer?\nAnswer: 375","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 467 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 1 + 3)*(3063 - 1335*h - 3063).\nAnswer: -2670*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = 469*h - 61269. Give q(131).\nAnswer: 170","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -7, 60, -86, 4, -69 in increasing order.\nAnswer: -86, -69, -7, 1, 4, 60","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4 + 1 + 0)*(-10*b + 5*b - 8*b)*(3*b - 3*b + b) to j + a*b + d*b**2 and give d.\nAnswer: 39","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x + 8*x - 168 = 0. Suppose -2 = 5*j - x. Calculate the remainder when 39 is divided by j.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 5*g**2*l**2 + 5*g**2*l - 529*g*l**2 + g*l - 6*l**2 - 1303*l wrt l.\nAnswer: 10*g**2 - 1058*g - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 0 + 0)*(6 + 1 + 0)*(2*r**2 - 2*r**2 + 2*r**2).\nAnswer: -28*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -3.2 - -3. Let x = q + -0.2. Let k = x + 0.9. Which is the third biggest value? (a) 2\/21 (b) 4 (c) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -35107 divided by 1378\nAnswer: -35107\/1378","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -2398 - -3974. What are the prime factors of z?\nAnswer: 2, 197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*u + 447 = -i + 442, -4*i = -3*u + 10 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 13\/3 + 3\/(-9). Let o(x) = 2*x**3 - 3*x - 19*x**2 + 9 - x + 0*x**2. Let k(s) = -s**3 + 9*s**2 + 2*s - 4. Let n(v) = -13*k(v) - 6*o(v). Determine n(m).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = -l - 4*u + 10, -5*l - 2*u = -22. Suppose h - 120 = -l*h. Let s = 44 - h. List the prime factors of s.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -139 * -0.2.\nAnswer: 27.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = -3*m**3 + m**2 + m. Let u be c(-1). Let s(v) = 0*v**u - 3*v**2 - 2*v - v**3 - 3 - v**3 + 3*v**3. What are the prime factors of s(4)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = 3*z - 3*r + 5, 3*z + 5 = 5*r. Solve 10 = 2*q - z*g, -5*q + 20 = -q + g for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j + 6 + 18 = 3*c, 0 = -5*j + c - 47. Let u = -9 - j. Let d be ((-6)\/(-3) + -3)*u. Solve 2*h + d = 2 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millennia are there in 39.20025 centuries?\nAnswer: 3.920025","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 183926925 divided by -565929.\nAnswer: -325","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: ((-14790)\/(-5525))\/((-18)\/(-234))*20\/6\nAnswer: 116","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((q*q**(2\/51)\/q)\/q*q)\/q**(-2\/23))**23 assuming q is positive.\nAnswer: q**(148\/51)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1630, 3252, 4860, 6448, 8010, 9540, 11032, 12480?\nAnswer: 13878","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*z + 16*z - 180. Is 1109\/((-10)\/z + 1) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*t + 2*t - 6*t)*(-1 + 2 + 1)*(t + 8 - 9 + 2*t + t + 3*t - 3*t + (0*t + 2*t - 3*t)*(-6 + 0 + 5) + (t + t + 0*t)*(5 + 1 - 4)).\nAnswer: -72*t**2 + 8*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3 + 0 - 2)*(5 - 1 - 1)*(-59*j - 37*j + 198*j)*(1 - 1 - 7) to b + n*j and give n.\nAnswer: -2142","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -241 divided by -50.\nAnswer: 241\/50","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(121)*1)\/sqrt(11) + sqrt(11) + ((sqrt(22) - sqrt(88)\/sqrt(4))\/sqrt(2))**2.\nAnswer: 2*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -7.9 plus 5395848150?\nAnswer: 5395848142.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 2294 + -2289. Let s(i) be the second derivative of -5\/4*i**4 - w*i + 0 + 0*i**3 + 11\/2*i**2. Find the first derivative of s(l) wrt l.\nAnswer: -30*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -72, -1315, -5, 1 in descending order.\nAnswer: 1, -5, -72, -1315","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = 92*k**3 + 5*k**2 - 5*k + 5. Let q(z) be the first derivative of 23*z**4\/2 + z**3 - 3*z**2\/2 + 3*z - 4722. Calculate -5*q(g) + 3*v(g).\nAnswer: 46*g**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 1428, 1550, 1756, 2046?\n\"Answer: 42*l**2 - 4*l + 1390","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 22066848 divided by -7146?\nAnswer: -3088","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -88\/2587 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(-1))**(-1\/53)\/(m**(2\/31)\/((m*m**(-4)*m)\/m)) assuming m is positive.\nAnswer: m**(-5004\/1643)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 31\/20146 and -43\/407.\nAnswer: 8199422","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 4401 and 32111.\nAnswer: 163","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 699486 and 1866?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -24469 - 4?\nAnswer: -24473","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 47.4867 - -0.5133. What is the closest to y in 2, 3, -3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o**4 - 1191168*o**3 - 8338225*o**2 = 0. Calculate o.\nAnswer: -7, 0, 1191175","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 348 and 12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1180532786 to the nearest integer?\nAnswer: 34359","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -13*w + 15*w. Is w equal to -4\/7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00001507575621 rounded to seven dps?\nAnswer: 0.0000151","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6 + 3 - 9 + 196*p**3 + 7*p.\nAnswer: 196*p**3 + 7*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) be the third derivative of -3*w**2 + 35\/3*w**3 + 47\/24*w**4 + 0 + 0*w. Differentiate q(i) wrt i.\nAnswer: 47","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = n**3 - 23*n**2 + 20*n + 44. Let w be p(22). Let z be w\/(7\/(42\/(-12))). Solve z = -2*g + 4 + 6 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 702 minutes after 1:00 PM?\nAnswer: 12:42 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 45 and 6082920.\nAnswer: 6082920","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -28844025749341 plus 0.1?\nAnswer: -28844025749340.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -5776 or -825876\/143?\nAnswer: -825876\/143","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 q, 2 w, and 1 x when four letters picked without replacement from tewtxqqzwwwwwztww.\nAnswer: 2\/85","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 8\/3 of a century in months?\nAnswer: 3200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = -5*t + 5. Let o = -17 - -14. Let f(d) be the second derivative of d**3\/3 - d**2 - d. What is o*a(r) - 7*f(r)?\nAnswer: r - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = -33*d**3 + 7*d. Let l = -623 - -625. Suppose -x - 17 = l*k, 5*x + 4*k + 6 = -49. Let a(w) = -22*w**3 + 5*w. Determine x*a(g) + 5*o(g).\nAnswer: -11*g**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -20160 - -20148 - (-88 - 1)\nAnswer: 77","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:09 PM and 7:53 PM?\nAnswer: 344","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor v**3\/4 - 21*v**2\/2 - 333*v\/4 - 245\/2.\nAnswer: (v - 49)*(v + 2)*(v + 5)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = 4*c + 31. Let t be r(-7). Suppose 4*s + 21 = -131. Let l be s\/(-14) - 2\/(-7). Solve -3*p + t = -l for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 22b (base 16) to base 6.\nAnswer: 2323","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -245 - -168. Let b = 1406.9 - 1488. Let l = b - v. Which is smaller: -1\/2 or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t - 45 = -3*n, -10*n + 7*n = -t - 11. Let j(v) = v**2 + 17*v + 24. What is j(t)?\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 945 = 7*c - 4*c. Let v be (-1)\/5 + 93\/c. Let s be -2*(2\/54)\/(172\/(-258)). What is the third biggest value in -0.4, s, v?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 7 - (3 + 0 + -1) - (24 - 5 - -41).\nAnswer: -55","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -12*((-3)\/(-2) - 2). Let i(f) = -f + 9. Let p be i(q). What is the second derivative of 5*x**2 - 5*x**2 + 2*x + 2*x**p wrt x?\nAnswer: 12*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -21 (base 3) to base 12\nAnswer: -7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify o*o**(-7)*o**(3\/5)*o*o**(-5\/2)\/o**(-2\/19) assuming o is positive.\nAnswer: o**(-1291\/190)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4108332.\nAnswer: 2, 3, 19, 37, 487","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = 1. Let g(c) = -c**2. Let h(x) = 6*g(x) - 5*u(x). Let q(k) = 6*k**2 + 4. Suppose 0 = -12*b - 24 + 72. Determine b*h(l) + 5*q(l).\nAnswer: 6*l**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-1*(-20)\/(-4))\/(-1). Solve -b*k + 2*m = 9, -2*m - 7 = k - 5*m for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 749685 and 2057831.\nAnswer: 709951695","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a - 4*h = -112, -h - 11 = -4*a + 76. Suppose 7*z - 35*z = 8092. Let n = 302 + z. What is the remainder when a is divided by n?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 2 + 1. What is the second derivative of 3*y**2 - r*y**2 - y - 2*y**5 wrt y?\nAnswer: -40*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -1\/5 (b) -1\/4 (c) 9\/2 (d) 1.35 (e) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 684\/10374*(-4 + 17).\nAnswer: 6\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 158b2 (base 12) to base 2.\nAnswer: 111011111000110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 (base 7) in base 6?\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = -2*o**2 - 215*o - 1600. What is d(-8)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 7\/6*1614\/1883?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 271\/6, -13, -1, 5, 2\/13, -8?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 43? (a) -1\/18 (b) -3 (c) -1\/7 (d) 0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -144 divided by -18\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 327 is divided by 96.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (14*q + 18*q - 8*q)*(1 + 0 - 2 + (-1 - 2 + 1)*(2 + 0 - 1) + 0 - 2 + 4).\nAnswer: -24*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 667926?\nAnswer: 2, 3, 7, 19, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -2, -1, -4, -132948, -12 in increasing order.\nAnswer: -132948, -12, -4, -3, -2, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 474 + -467. What is the remainder when f is divided by 2\/6 + 14\/3?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = -x**2. Let o(d) = -5*d - 9. Let p(f) = -1. Let g(y) = 2*o(y) - 18*p(y). Give r(g(b)).\nAnswer: -100*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 98626.\nAnswer: 2, 11, 4483","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 12 and 32.\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*r - 8, -2*t + 2*r + 1 = t. What is the remainder when 4*244\/(-8)*t is divided by 31?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -2\/9 (b) -0.38 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = 42*p**3 - 7*p + 7. Let g(b) = 14*b**3 - 2*b + 2. Determine -7*g(j) + 2*m(j).\nAnswer: -14*j**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -2540330 (base 6) to base 2\nAnswer: -100001100100011110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 105 + -67. Let h be (-3)\/18 + d\/12. Suppose -n + 8 = -4*u + h*u, 2*u = 5*n - 31. Solve -n*p = -0*p + 10 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -5 - -12. Calculate the lowest common multiple of t and 1.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify r**(-12)*r*r**(2\/55) assuming r is positive.\nAnswer: r**(-603\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = -d**3 - 31*d**2 + 21*d - 349. Let m be u(-32). Let i(v) be the second derivative of 0 + 0*v**3 + 0*v**4 - 1\/60*v**5 - m*v + 0*v**2. Factor i(p).\nAnswer: -p**3\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = -o**3 - 13*o**2 - 30*o + 5. Let s be j(-10). Solve 20 = -9*l + 4*l + s*p, -3*l + 4 = 5*p for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = 4*u**2 - 381*u + 2801. Let q be t(7). Let m = 274 + -142. Calculate the highest common divisor of m and q.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + (sqrt(153) + -5)*4)**2.\nAnswer: -432*sqrt(17) + 2772","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 4, 0.2, 0.08?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 253311, 1013059, 2279285, 4051995, 6331195, 9116891?\n\"Answer: f**3 + 253233*f**2 + 42*f + 35","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 50 + -28. What is the tens digit of (4 + -3)*1*m?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -1*(-4 + (-50)\/(-14)). Sort 5, g, -4 in decreasing order.\nAnswer: 5, g, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = -d**3 + 15*d**2 + 17*d - 13. Let w be s(16). Suppose -199 = w*h + 212. Let x = -68 - h. Calculate the remainder when x is divided by 12.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 53 + -119. Let w be c\/(-9) - (-7)\/(-21). Let u(l) = l**3 - 6*l**2 + 13*l - 6. List the prime factors of u(w).\nAnswer: 2, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {g: 2, p: 4, m: 3, b: 1}. What is prob of picking 2 p and 1 g?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 147 + -84. Suppose 1 + i = 2*j. What is the units digit of j?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -105221 - 3?\nAnswer: -105224","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = -i**3 + i**2 - i - 1. Let w = 12 - 9. Let y(k) = 4*k + 4*k**w + 7 + 15*k**2 + 0*k**3 - 21*k**2. Give 6*a(c) + y(c).\nAnswer: -2*c**3 - 2*c + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) be the second derivative of -3\/50*a**5 + 40*a + 1\/10*a**3 + 2\/5*a**4 - 6\/5*a**2 - 2\/25*a**6 + 0 + 1\/70*a**7. Suppose k(n) = 0. What is n?\nAnswer: -1, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -2026208, -4052386, -6078564, -8104742, -10130920?\n\"Answer: -2026178*d - 30","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m - 6 = 2*h, 0*h + 6 = -4*h - 3*m. Suppose -u + 29 = -h*u + 5*x, -2*u + 40 = 4*x. Calculate the greatest common factor of 35 and u.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6600248?\nAnswer: 2, 263, 3137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 365*5.64\nAnswer: 2058.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 212 = -66*n + 80. Is n smaller than -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -9063884 rounded to the nearest one thousand?\nAnswer: -9064000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p = 295 + 430. Suppose w - p = -4*w. Is w a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 13667430?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is (280\/2380)\/(4\/51)?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y + 2*c = -3, 5*y + 15*c = 16*c + 15. Solve y*f + 13*b - 11*b = -10, 2*f - 5*b + 13 = 0 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1 by 64.\nAnswer: 1\/64","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -17\/2 + 9. Let f be (-1 - -2) + 826\/55. Let r = f - 81\/5. Sort -0.2, r, q in descending order.\nAnswer: q, r, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = 16*d**2 + 7*d + 4. Let j(g) = 24*g**2 + 10*g + 6. Determine 5*j(t) - 7*k(t).\nAnswer: 8*t**2 + t + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0*-0.49113.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c + 26 = 28. Let x(r) = -3*r**3 - 4*r + 3*r + 1 + 3*r - 4*r + c*r**2. Let b(a) = -7*a**3 + 5*a**2 - 4*a + 3. Determine -2*b(i) + 5*x(i).\nAnswer: -i**3 - 2*i - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express 78 + 112 - 22050*f**2 + 22071*f**2 in the form p*f + t + h*f**2 and give h.\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) be the first derivative of -3 - 1\/7*f**7 + 0*f**2 + 0*f + 0*f**6 + 2*f**3 + 0*f**4 + 0*f**5. What is the third derivative of t(q) wrt q?\nAnswer: -120*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 30817 is divided by 670?\nAnswer: 667","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 2, -79, -2 in descending order.\nAnswer: 4, 2, -2, -79","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 35993773?\nAnswer: 35993773","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does 35 divide 498?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = -v + 6. Let n be t(4). Suppose -z + n*z = 6. Suppose -5 = 9*m - 4*m. Put 2, m, z in decreasing order.\nAnswer: z, 2, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -206 + 213. Let u = 3.93 + 0.07. Let x = 3\/7 + -2\/21. Put -4, x, u, f in descending order.\nAnswer: f, u, x, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*p - 106 = -27*p + 9 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence cbl when three letters picked without replacement from {l: 1, b: 1, c: 1}.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand -300 + 717 - 310 + u + (1 - 5 + 1)*(5*u - 2*u - 4*u).\nAnswer: 4*u + 107","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of (5 + -3 + 4)*3 and 10?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 200\/107 at least as big as 2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from djcjdjjdj. Give prob of picking 2 j.\nAnswer: 5\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n + 4*c + 17472 = 0, -210*c + 6 = -209*c. Does 9 divide n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:16 AM and 3:52 AM?\nAnswer: 36","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g - 2 = -0*g. Suppose g*l + 2*l + 647 = 5*n, l + 130 = n. Is n prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = 2 - 2 - 2*c**2. Let y = 119 + -123. Let f(h) = -15*h**2 + 2*h + 2. Let m(z) = -286*z**2 + 39*z + 39. Let v(p) = y*m(p) + 78*f(p). Calculate a(v(u)).\nAnswer: -1352*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:27 AM and 8:23 AM?\nAnswer: 236","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = z**2 - 4*z - 1. Let x be w(6). Let p be (-12)\/(-15) + (-32)\/(-10) + -3. Calculate the greatest common factor of x and p.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 142c1ad + 10?\nAnswer: 142c1bd","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 12212111 (base 3) to base 6\nAnswer: 31451","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 183119575.\nAnswer: 5, 7324783","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -535*f**5 + 152*f**4 - 5*f**2 + 490*f - 3?\nAnswer: -32100*f**2 + 3648*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a\/(a\/(a*a\/((a**(-3\/10)\/a*a)\/a)*a))*a*a**(-5)*a**(-7)\/(a**(2\/9)\/a))**(-39) assuming a is positive.\nAnswer: a**(6929\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express 16 + 259*i - 16 + 414*i in the form l*i + t and give l.\nAnswer: 673","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2 + -2 - (2 + 3 + -6)) + 8.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1014 - -1046. Calculate the highest common factor of 368 and v.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = 2*t**3 - 4*t**2 + 7. Let q be i(3). Suppose 106 - q = 3*u. Calculate the remainder when u is divided by 14.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g*g\/(g*g**(-13)))**(-29)*g\/g**(8\/11)*g*g**(6\/13)*g assuming g is positive.\nAnswer: g**(-57667\/143)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -842 + 863. Which is smaller: -7\/6 or y?\nAnswer: -7\/6","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*q + 0*q - 4*q)*(11*q - 14*q - 8*q)*(-2*q**3 - 2*q**3 + 3*q**3 - 2).\nAnswer: -44*q**5 - 88*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = n**3 - 15*n**2 + 25*n + 18. Let g be z(13). Let s be (42999 - -1)\/(g\/3960*11). Round s to the nearest one hundred thousand.\nAnswer: 3100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify z**2*z\/(z\/((z\/((z**4\/z)\/z)*z)\/z))*((z\/z**(1\/3)*z)\/z)**13 assuming z is positive.\nAnswer: z**(29\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (9 + 1 + 0 + -10 - -5) + -11?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -1232*y + 1207*y. Factor y - 2\/7*o**3 + 2\/7*o**2 + 0*o.\nAnswer: -2*o**2*(o - 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -302878, -303711, -304544, -305377, -306210, -307043?\nAnswer: -307876","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a*a*a*a**5*a*a**(-2\/21))**(11\/6) assuming a is positive.\nAnswer: a**(2057\/126)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = 3*k**3 - 4*k - 2. Let i(p) be the second derivative of p**5\/5 - 5*p**3\/6 - 3*p**2\/2 - 1599*p. What is -2*i(c) + 3*t(c)?\nAnswer: c**3 - 2*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = -110*h**2 - 22*h + 22. Let u(x) = -x**2 + x - 1. Determine 3*c(z) + 66*u(z).\nAnswer: -396*z**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*f**5\/11 + 6360*f**4\/11 - 25334*f**3\/11 - 21384*f**2 + 634600*f\/11 + 1905600\/11 = 0.\nAnswer: -5, -2, 5, 6, 3176","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/27, 2\/9, -1\/2, 1\/2, 0.3.\nAnswer: -1\/2, -2\/27, 2\/9, 0.3, 1\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many tonnes are there in 5.07308 milligrams?\nAnswer: 0.00000000507308","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 21317 (base 15) to base 5.\nAnswer: 11332242","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9087?\nAnswer: 3, 13, 233","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 288 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 m(k) = 4*k**3 - k**2 + k - 1. Let i be m(1). Let d be 4\/6*(-84)\/(-8). Let w = d - i. What is the smallest common multiple of w and 7?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4376903647 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-45)\/(-6))\/((-1)\/(-14)). Suppose 0*n + 84 = 2*n - 3*x, 168 = 4*n - 3*x. Calculate the greatest common factor of n and y.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -1 + 1 + 15*x - 25*x + 0*x - 2*x + 0*x - 1 + 1 + 2*x + (1 + 1 + 0)*(0*x + 4*x - 2*x) - 1 - x + 1.\nAnswer: -7*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Are 0.06 and -31 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = -5*i**3 - 2*i**2 - 2*i. Let t be z(-1). Suppose 4*n = -5 + 25, -t*x + 2*n + 165 = 0. Calculate the remainder when x is divided by 18.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: (2 - 1 - (-17 - -13)) + 2\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -33201113133 - 11?\nAnswer: -33201113210","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -168*(5 - (-66)\/(-12)). Suppose u = 7*u - i. Calculate the highest common factor of u and 14.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 2359, 4476, 6593?\n\"Answer: 2117*h + 242","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6 - 4 = o for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -6 in 51, -183, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = 7*d**2 + 7*d + 11. Does 2 divide m(-2)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rrereje. What is prob of sequence rj?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2 + 0*z - 2*z + 0)*(-4*z + 0*z + 5*z + (0*z + z + 0*z)*(3 - 4 + 3) + 6*z + 36 - 36 - 5*z + 0*z + 4*z) as v*z + q + o*z**2 and give v.\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-1)\/(-14))\/(((-66)\/99)\/(8\/6)). Which is the second smallest value? (a) l (b) 223 (c) -0.6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*i + 5*i = -12. Suppose 0 = -i*d + 2*h + 18, -4*d - 2*h + 7*h + 41 = 0. Does 13 divide 2*((-342)\/d)\/(-9)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 87 and 4704786.\nAnswer: 87","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -28025 * 45\nAnswer: -1261125","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = 8*b**3 + b**2 + 3*b - 3. Let u be m(-3). Round u to the nearest ten.\nAnswer: -220","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 70 - -103. Let d = p + -173. Is d less than -69\/7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) be the second derivative of 2*a**6\/15 - 5*a**2\/2 + 6*a. What is the first derivative of h(p) wrt p?\nAnswer: 16*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1.69? (a) -1\/7 (b) -16.1 (c) 0.2 (d) 1\/4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = 96624*b**2 + 2222351*b - 20. Determine v(-23).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -766, -1959, -4138, -7861, -13686?\n\"Answer: -93*o**3 + 65*o**2 - 737*o - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = 16*m + 114. Calculate k(-6).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 90 minutes after 8:21 AM?\nAnswer: 9:51 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = -x**3 - 3*x**2 + 3*x - 9. What is g(0)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -146619 divided by 33.\nAnswer: -4443","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-7)\/70*(-1)\/(-1)*-2?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -284 in -2, 2, -1, 0, -42?\nAnswer: -42","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 5*(-3)\/6*(9706\/(-575) - -18)\nAnswer: -14\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express 25*c - 3 + 10*c + 2*c**4 - 46*c + 12*c + 3*c**3 as k*c**4 + u*c**3 + x*c**2 + z + p*c and give u.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put together 10.337 and -2.\nAnswer: 8.337","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = -13*g + 107. Let k be a(8). Let f(y) = -y + 6. Let s be f(3). Solve 4*j = -12, -s*d - k*j - 17 = -5*d for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -16084 (base 9) to base 15.\nAnswer: -33e1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 421 minutes after 3:48 PM?\nAnswer: 10:49 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -39 - -21. Let s be (-1)\/(-3) + 6\/x. Suppose 9*k - 4*k - 79500000 = s. Round k to the nearest one million.\nAnswer: 16000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = 50*l**2. Let d(u) = -22*u + 5*u + 19*u. Calculate d(y(z)).\nAnswer: 100*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 255.492 + -255. What is k rounded to one dp?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -3, 4\/11, -15006.7?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 32846419391 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 621 and 24771.\nAnswer: 222939","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = 13*z**2 - 5 - z**3 + 70*z - 34 - 36*z - 31*z. Let y be w(13). What is the closest to y in 0.1, -2.6, -2\/3?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = 43 + f**2 - 13 - 19 - 2*f**3 - f - 13 + 3*f**3. What is q(0)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*i - 103*s = -3*i - 129*s + 213, -8*i + 4*s = -6*i + 22 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -7*p + 205 - 191. Solve -48 = -10*t + p for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = 6*x - 9. What is the units digit of v(14)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 53\/847593 and 73\/186057.\nAnswer: 7628337","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (20 - 24) + (-9)\/(-2). Let r(n) be the second derivative of 0 + 3\/10*n**6 - 3*n - y*n**2 + n**3 - 3\/10*n**5 - 2\/3*n**4. Factor r(g).\nAnswer: (g - 1)*(g + 1)*(3*g - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 141 times -265\nAnswer: -37365","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 = i + 3. Let u be (8\/i)\/(6\/(-5)). Factor -2\/9*v**4 + 2\/9*v - 2\/3*v**2 + 0 + u*v**3.\nAnswer: -2*v*(v - 1)**3\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 758166 and 12954.\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2 - (0 + -5)) + -11.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 112052997 to the nearest integer?\nAnswer: 10586","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 223945579576+-5\nAnswer: 223945579571","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19*o = 17*o + 1058. Let g = 527 - o. Let j be (-1)\/2 - 27\/(-6). Put -3, g, j in ascending order.\nAnswer: -3, g, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -24*f - 777 + 897 = 0 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d*d**(4\/3))\/((d**(-2\/13)\/d)\/d))**(-37)*(d*(d*d*d*d**1*d*d)\/d)**(13\/3)*((d\/(d\/d**(1\/11)))\/d)\/(d*d\/d**(-1)) assuming d is positive.\nAnswer: d**(-61748\/429)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 102147161 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -3 - -5. Find the second derivative of t - 5*t**x - 2*t - 2*t + 0*t wrt t.\nAnswer: -10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = 3*h + 4. Let a(g) = -8*g + 17. Let y(o) = 3*o - 7. Let p(m) = -2*a(m) - 5*y(m). Determine -j(b) + 4*p(b).\nAnswer: b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 41\/2 of a meter in centimeters?\nAnswer: 2050","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 39 + -113?\nAnswer: -85","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 4 and 13784?\nAnswer: 13780","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = -5*t + 196. Let w be c(39). What is the third smallest value in w, -2\/21, 14?\nAnswer: 14","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 4 + 2*u - 7*u**2 + 6*u**2)*(54 - 54 + 2*u).\nAnswer: -2*u**3 + 4*u**2 + 6*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 79, 84, 89?\n\"Answer: 5*c + 74","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = 3*a - 9. Let q(n) = n - 1. Let b(m) = o(m) - 6*q(m). Let v be b(-6). Suppose 2*c - 5*c + v = 0. Calculate the greatest common factor of 45 and c.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 b and 1 p when three letters picked without replacement from eepebpeeeyeyebbb.\nAnswer: 3\/140","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 642 a factor of 669170?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*a = -0*a - 4 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 169, 164, 159, 154, 149?\n\"Answer: -5*j + 174","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (21 - 4*h - 4 + 3 - 4*h + 7*h)*(645*h - 351*h - 430*h).\nAnswer: 136*h**2 - 2720*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2, 27, 42, 41, 18, -33, -118, -243?\nAnswer: -414","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 455 and 11481295?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10 divided by -208.\nAnswer: -5\/104","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 9394?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 37174770 and 2250.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(-1\/3))**(-10\/11)*(s*s**(-7)*s)\/(s\/(s*(s*(s*s\/(s*s**(1\/3)*s))\/s)\/s))*(((s\/s**(-2))\/s)**(1\/27))**37 assuming s is positive.\nAnswer: s**(-977\/297)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Product of 10959568 and -6.\nAnswer: -65757408","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 128 and 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 107\/528 and -82\/297?\nAnswer: 4752","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-4)\/10 - 152\/20. Let o be 38\/g - 18\/(-24). Sort 39, o, 5, -3 in ascending order.\nAnswer: o, -3, 5, 39","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -8*l - l + 3798. Is l a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {c: 6, f: 1, o: 5, l: 6, i: 1}. Give prob of picking 1 i and 2 o.\nAnswer: 10\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 48\/11215 and -50\/854583.\nAnswer: 4272915","meta":{"dup_signals":{},"source":"numbers__lcm_test"},"subset":"dm_maths"} +{"text":"Question: Let u = 1 - 6. Let x = u - -10. Let c = x - -1. Is 5 a factor of c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1 - -8. Let p = 20 - q. Suppose 64*i - 992 = -60*i. What is the remainder when p is divided by i?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*f + 2*f - 2*f**2)*(-f**3 + 7*f**3 - 3*f**3) - 5*f**5 + f - f.\nAnswer: -11*f**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*z + 64 + 8 = 0. Let g be 6\/(-21) + (-4)\/(-14). Solve -4*u - z = 2*w - g, 2*u = -2*w - 6 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-26)\/(-6) + 21\/(630\/(-40)). What is the third derivative of 277*a**3 + 196*a**2 + 33*a**3 + 214*a**2 - 21*a**z - 59*a**2 wrt a?\nAnswer: 1734","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -254*f + 293*f - 412659 = 0. What is the tens digit of f?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -22122 >= -2929\/3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -11, -1\/5, 2\/3, 0, -1\/2?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1 + 0.5. Let l(h) = h**2 + 4*h - 6. Let f be l(4). Let d be (79\/f - 3)*4. Which is the closest to 1\/2? (a) 2 (b) o (c) d\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1638\/108 + -15)*33 - -6.\nAnswer: 23\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3\/(-54)*-4*(-17 - -8).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = 13*k**2 + 9*k - 12*k**2 + 2 - 1. Let g be o(-9). Calculate the greatest common divisor of g and 7.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1 - -3. Let v be ((-16)\/k)\/(-4) - -1. Suppose 2*a - 5*n - 49 = 0, -v*n = 23 - 8. What is the units digit of a?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -19 + 12 - 8*d**3 + 7 + 10*d**3.\nAnswer: 2*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -251, -4012, -14493, -35054, -69055, -119856, -190817?\n\"Answer: -560*s**3 + 159*s + 150","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = 23 + 9 + 2*l + 11*l. Let t(m) = 3*m**2 + 6*m + 7. Let i be t(-3). Let j be u(i). What is j rounded to the nearest 10?\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 256, 3, 56, 11, -3, -6 in descending order.\nAnswer: 256, 56, 11, 3, -3, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) be the third derivative of -k**4\/24 - 5*k**3\/6 + 4*k**2. Let u be s(-7). Find the third derivative of 0*q**2 + 2*q**2 - 7*q**5 + 2*q**u + 3*q**5 wrt q.\nAnswer: -240*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 81380 to the nearest integer?\nAnswer: 285","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 439.15 - 439. Let d = j + 3.85. What is the closest to -2 in 5, 0.3, d?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 50 divide 49300?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -274*x - 320*x = -560*x + 1054 for x.\nAnswer: -31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:41 AM and 4:29 PM?\nAnswer: 708","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 992 + 713. Is b not equal to -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 15*w + 22*w - 36*w - 104*w**3 - 8*w**2 wrt w?\nAnswer: -624","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -5*j + 104*j**4 + 19*j**4 - 66*j**4 + 0 + 1 + 2*j**3 + 2*j**2 in the form n*j + p*j**3 + d*j**4 + u*j**2 + q and give p.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor 1\/2 - 1\/4*s**2 + 1\/4*s.\nAnswer: -(s - 2)*(s + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 243812604?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 4.1 + -22.1. Let m = n + 21.7. What is m rounded to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = z - 34. Let j be n(34). Suppose j = 4*v + h - 459, 2*h - 447 = -4*v + 5*h. Is v a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1311289 divided by 3?\nAnswer: 1311289\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -1520 - 5?\nAnswer: -1525","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = h + 7. Let f be p(-6). Let s be f\/5 + 78\/(-90). Let i = 17 - 121\/7. What is the smallest value in i, 0.4, s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (16\/6)\/((-18)\/(-27)). Suppose 2*u = -f*n + 9 + 109, 4*n = -3*u + 115. Calculate the remainder when n is divided by 12.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*h - 3*m = 8, 2 = 14750*m - 14749*m for h.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 516 + -756. Are -239 and g non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (2\/(-11))\/(276\/(-253))?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2019870388 to the nearest integer?\nAnswer: 44943","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 8000261 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 4\/(-8)*-5*(-520)\/75. Are x and -16 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n + 99154467 + 152545533 = 0. What is n rounded to the nearest one million?\nAnswer: -50000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.26 + -0.74. Which is the second biggest value? (a) 0.4 (b) -7 (c) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -153, -3\/5, 3\/2, 2\/25 in ascending order.\nAnswer: -153, -3\/5, 2\/25, 3\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*y + 0 = -14. Let p = -7 + 5. What is the closest to y in p, -1\/3, 1\/2?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -13*t - 6 - 12*t + 24*t - 6*t**2 + 2*t**3 + 0 as f*t**2 + a + z*t**3 + c*t and give c.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -37a60 (base 16) to base 15\nAnswer: -4780b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 6144 and 960.\nAnswer: 192","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -81833969 divided by 21217.\nAnswer: -3857","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -751250, -751243, -751236, -751229, -751222, -751215?\nAnswer: -751208","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -2.05 - -0.05. Suppose n - 6 = 19. Let q be (-2)\/(-5)*n\/9. Are t and q unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from zewwwwzzze. What is prob of sequence weze?\nAnswer: 2\/315","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*g*k**2*l**2 - 19*g*k*l*y**2 - 2*g*k*l + 2*g*k - 18*g*l**2 - 2*k**2*l + k**2*y + l**2*y**2 wrt l.\nAnswer: 4*g*k**2 - 36*g + 2*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 127 a factor of 342708357?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = -v**2 + 1. Let j(r) = 2*r**2 + 6*r**2 + 6*r**2 + 3*r**2 - 16*r**2. Let w(x) = 4*x**2 + 4. Let d(n) = 4*j(n) + w(n). What is -d(f) + 3*h(f)?\nAnswer: -11*f**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l + l - 8 = -3*q, 10 = 4*q - 5*l. Let y = 0.62 + -1.82. Let h = 4.2 + y. Which is the third biggest value? (a) 0.4 (b) h (c) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 482 a multiple of 45?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*-5*(sqrt(133) - (sqrt(133) + sqrt(133)*2)))\/(sqrt(7)*4*4*2).\nAnswer: 15*sqrt(19)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -28\/5 (b) 8 (c) 13.1 (d) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 11151 and 12.\nAnswer: 44604","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*o - 4*o. Is -8\/11 greater than or equal to o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1430325 is divided by 1464?\nAnswer: 1461","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*k**4 + 2160*k**3 - 775428*k**2 + 91745984*k + 282275286.\nAnswer: -2*(k - 361)**3*(k + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) be the third derivative of -1\/10*f**6 + 0*f + 0 - 4\/9*f**4 + 11\/30*f**5 + 0*f**3 + 1\/315*f**7 - 36*f**2. Let z(b) = 0. Calculate b.\nAnswer: 0, 1, 16","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = 2*g - 1. Let j(r) = -7*r + 7. Let q(b) = 4*d(b) + j(b). What is q(5)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 9 + -46\/5. Let t be (-4 - 8\/(-3))\/(-2). Which is the closest to t? (a) g (b) -6 (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -124 and 0.45281.\nAnswer: -56.14844","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Work out -10739419 * -14.\nAnswer: 150351866","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find w such that 5*w**2 - 6080*w + 1848320 = 0.\nAnswer: 608","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -25*y = -131 + 105 - 249 for y.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f - 15*z - 64 = -13*z, z - 190 = -5*f. Suppose f*i = 40 + 34. Sort 1, 32, 0, i.\nAnswer: 0, 1, i, 32","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.336 take away 3?\nAnswer: -1.664","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*r - 2*r + r)*(-115 + 25 - 37)*(-4 + 10 + 5).\nAnswer: 1397*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express -3 - 1 + 0*d**3 + 0*d**3 - 3*d**3 in the form a + h*d**2 + b*d + y*d**3 and give a.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 436533852 and 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3900*p**3 - 127*p**3 + 184*p**3.\nAnswer: 3957*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is (-6276)\/(-44) + 1847 + -1990?\nAnswer: -4\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) be the first derivative of 2*d**3\/21 - 8*d**2\/7 - 24*d + 320. Factor z(f).\nAnswer: 2*(f - 14)*(f + 6)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -104 - -375. What is the units digit of z?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -3577 + 0.0326.\nAnswer: -3576.9674","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2264?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*s - 187 = -199 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 35407 is divided by 473.\nAnswer: 405","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor u**3\/7 + 1233734*u**2\/7 + 380526129420*u\/7 + 761047323912\/7.\nAnswer: (u + 2)*(u + 616866)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {x: 10, u: 2, f: 2, k: 3, h: 2}. Give prob of picking 2 k, 1 h, and 1 u.\nAnswer: 1\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 1823160 greater than 1823169?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 - (-1 + (0 - (-3 - -6))).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from maamamamanaaan. What is prob of picking 1 n and 1 m?\nAnswer: 8\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -6104 - -6?\nAnswer: -6065","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 15641 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -29881124 divided by -29881124.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -102, -221, -358, -513, -686, -877?\nAnswer: -1086","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t\/((t\/t**4)\/t)*t*t*t\/(t\/(t\/t**2))*t*t**(2\/3)\/(t*t*t\/(t\/(t*t**(-5)))))**24 assuming t is positive.\nAnswer: t**232","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -74 + 74.0042. What is x rounded to three dps?\nAnswer: 0.004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3210320 (base 4) to base 6\nAnswer: -151452","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -10 + 25. Let g be (12\/(-9))\/(1\/w). Calculate the common denominator of 15\/6*122\/g and 67\/6.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 w and 1 r when two letters picked without replacement from {r: 2, w: 1}.\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2954.663ml to litres.\nAnswer: 2.954663","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 118*w + 563 + 617 = 0 for w.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x + 329226 = -5*x. Let l = x + 47742. What is l rounded to the nearest 10000?\nAnswer: -60000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 408616.\nAnswer: 2, 13, 3929","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 321456 to the power of 1\/3, to the nearest integer?\nAnswer: 69","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: ((-1099)\/(-1413))\/(7\/3)\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 420 or 14?\nAnswer: 420","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1849?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = -7*g**2 - 2*g - 7. Let a(x) = -13*x**2 - 3*x - 14. Let h(z) = -6*a(z) + 11*p(z). What is the units digit of h(-6)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -3203 + 6606?\nAnswer: 3403","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 10 - 28\/3. Suppose -4*y + 32 = -80. Let k = -83\/3 + y. Which is the third smallest value? (a) -0.4 (b) k (c) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 5 + -3. Let a(s) = -1 - 6 - 2*s**x + 8*s + 6*s**2. Is a(-6) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 6\/(90\/55) + 10\/((-60)\/18)\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c - 7 = -47. Is c a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((g**(-7\/4)\/g)\/g**(-16))**(-32))**(-43) assuming g is positive.\nAnswer: g**18232","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 57\/2 of a litre?\nAnswer: 28500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find w, given that 132*w**3 - 15*w**4 - 101*w**5 - 36*w**3 + 164*w**3 - 300*w**2 + 80*w + 76*w**5 = 0.\nAnswer: -4, 0, 2\/5, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 3087, 3006, 2925?\n\"Answer: -81*c + 3168","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -45 = -2*k - 289. Let w = -7 - -6. Find the common denominator of w\/(78\/k + 1) and 59\/16.\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 18 - 13. Suppose -h*t = -8 - 12. Suppose -5*k = -4*k - 0*k. Solve k = -q - 0*q - t for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -299, -364, -429, -494, -559, -624?\nAnswer: -689","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (1 - (-9)\/4) + (-7)\/28. Let c(r) = 3*r**3 - 2*r**w - 6 - 16 + 8*r + 9*r**2 + 20. Determine c(-8).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) be the third derivative of m**4\/24 + 7*m**3\/6 + m**2. Let h be b(-7). Solve 2*z - 4*z - 2 = h for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) be the third derivative of 3*k**4\/8 - 2*k**3\/3 + 12*k**2. Determine c(3).\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 70182587 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -122 = -3*j + 18*o + 76, -11*o - 26 = -j + 15*o - 24*o for j.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -0.611869 from 36.\nAnswer: 36.611869","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q - 20 - 1 = 0. Let u(x) = x**3 - 6*x**2 - 7*x + 6. Let m be u(q). Solve a + 18 = f - 3*a, a + m = f for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = -26*f - 3 - 14*f**2 + 934*f**3 - 933*f**3 + 0 + 16. What is the tens digit of o(17)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -33 + 33.36. Let w = s - 0.31. Let r = w + -0.112. What is r rounded to 2 dps?\nAnswer: -0.06","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {w: 4, k: 4, a: 5, g: 2}. Give prob of sequence waw.\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*n**5 - 2*n**5 - 3*n**5 + (-1 - 11*n + 1)*(0*n**4 + 2*n**4 - 4*n**4).\nAnswer: 20*n**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2899, 2950, 3095, 3382, 3859, 4574?\nAnswer: 5575","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 157976 and 2353078.\nAnswer: 1274","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {z: 8, k: 5, a: 4}. What is prob of sequence kka?\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Are -135 and 0.5 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1501984 and 248490?\nAnswer: 67589280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -313.11 + 507?\nAnswer: 193.89","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -224.06882 - -0.06882. Which is greater: j or 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {d: 3, m: 9, z: 7}. What is prob of sequence dzzm?\nAnswer: 63\/5168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = x**3 + 5*x**2 - x - 3. Let c be k(-5). Let l(r) = -9*r**c + 0*r - r + 10*r**2. Let d be l(2). Solve 0 = -d*v + 2 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -636, -637, -638, -639, -640?\nAnswer: -641","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = 2*j**2 - 2*j + 3. Let c be r(3). Suppose 0 = 3*s - c - 0. Is 2 a factor of s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 309 minutes before 10:29 AM?\nAnswer: 5:20 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*g = -7*g - 8. Suppose 0 = -53*o + 1290 - 972. Solve o = -a + g for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -4\/74849 and 19\/42253?\nAnswer: 109054993","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h = 2*y - 38, -y + 9 = 2*h - 11. Does 2 divide y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = 0*w**3 - 11*w**2 - 3*w**3 + 5*w**3 - w**3 - 1. What is b(11)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s - 6 = -s. Let f(y) = -4*y**2 - 3*y + 4. Let a(d) = -d**2 - d + 1. Give s*f(h) - 5*a(h).\nAnswer: h**2 + 2*h - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Total of 2 and -3901.1927871.\nAnswer: -3899.1927871","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b + 5*z = 4689, -3*z = 5*b + 1272 - 9071. List the prime factors of b\/8 + 4\/16.\nAnswer: 3, 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = 3784*t - 26616. Calculate r(7).\nAnswer: -128","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 47142833 to the power of 1\/3, to the nearest integer?\nAnswer: 361","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(-1 + (4 + sqrt(363) + 0 + sqrt(363) + sqrt(363) + 0 + sqrt(363) + sqrt(363))**2*4).\nAnswer: -218178 - 10560*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.02963 to three dps.\nAnswer: -0.03","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = y**2 + 12*y. Let o(r) = -50*r + 339. Let k be o(7). Determine s(k).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = o**2 - 3*o - 1. Let u(g) = -16*g**2 + 32*g + 6. Let k(l) = 2*i(l) + u(l). Factor k(x).\nAnswer: -2*(x - 2)*(7*x + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2211*q - 9182 = 21772 for q.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t = 17 - 217. Let b(g) = g**2 + 12*g - 120. Let k be b(-22). Calculate the greatest common factor of t and k.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is t in t**2\/2 + 372*t + 69192 = 0?\nAnswer: -372","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = -3*u**2 + 2*u. Let j(h) = h. Let r(t) = -i(t) + 6*j(t). Let q be r(4). Calculate the greatest common divisor of 96 and q.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 2\/5, 0, -1\/3, -1\/11?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t*t**(1\/7)\/t*t)\/(t**(3\/7)\/t))\/((t**(-4\/11)\/t)\/t)**16 assuming t is positive.\nAnswer: t**(3044\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-1866)\/140 - (-28)\/(-49). Let r = x + 52\/5. Find the common denominator of r and 35\/2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3700253147 a multiple of 29?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = -y**2 - 6*y + 8. Let g = 0 - -3. Suppose 4*w - 23 = g*j + 2*j, 1 = -j + 2*w. What is the lowest common multiple of q(j) and 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (2032\/6 - 0)*1137\/1516 a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 360 minutes before 7:42 AM?\nAnswer: 1:42 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 147, 168, 193, 222, 255, 292, 333?\n\"Answer: 2*d**2 + 15*d + 130","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 27*1\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -8*d**3*t**2*u**3 - 32*d**3*t**2*u + 199*d**3*t + d**2*t*u**3 + 2*d**2*u**3 wrt t?\nAnswer: -16*d**3*u**3 - 64*d**3*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*r = 5*r - 15, 0 = 3*w - 5*r - 12. Suppose -20*d + w = -11*d. Sort -5, d, 35, -2.\nAnswer: -5, -2, d, 35","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 4165?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) -0.5 (b) -4 (c) 4\/3 (d) 4 (e) -1.4 (f) 0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -32 = -3*a + 40. What is the least common multiple of 9 and a?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -c**2\/4 - 3*c\/4 + 7.\nAnswer: -(c - 4)*(c + 7)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put together 779885853508 and -0.4.\nAnswer: 779885853507.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13689*h - 4279*h + 517753 + 291605 + 526862 = 0 for h.\nAnswer: -142","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Divide 31 by 10.\nAnswer: 31\/10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6*a**2 + 4*a**2 + 1 + 12*a**2)*(-5 + 16 - 5).\nAnswer: 60*a**2 + 6","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 5\/(((-6)\/(-12))\/(1\/(-2))). Let j(n) = -20*n**3 + n**2 + 2*n + 1. Calculate the least common multiple of l + 3 - 2 - -20 and j(-1).\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence lf when two letters picked without replacement from lllbbbblfbblbbblb.\nAnswer: 3\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -46 and 82\/99.\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6 - 0 - (-24 - (-22 + 9 - 9))?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 72 - (3 + (-4 - 0)). Let z = -416\/9 + 4003\/72. Find the common denominator of z and (-5 - n\/(-15)) + 494\/60.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 34368 and 192?\nAnswer: 192","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ccccccrrc. Give prob of sequence crc.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 62 + -74. Let s be (-150)\/(-130) + (-4 + 7 - 4). What is the biggest value in s, y, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 383334246*z**5 + 3*z + 52080542.\nAnswer: 7666684920*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -4.2 - -4.6. Let t be (-10)\/42 + (16\/6 - 2). What is the closest to 1 in u, -0.1, t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -394, -788, -1192, -1612, -2054?\nAnswer: -2524","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3 + 10*p - 4 - 1 + (p - 6*p + 3*p)*(-4 + 6 - 3) + 3*p + 0*p - 2*p - 2*p + 1 - 1 + (-2 + 7 - 3)*(3*p + 0*p - p).\nAnswer: 15*p - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 6 + -4. Solve 0 = 2*v - 4, -z - v = s*v - 8 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = -2*l - 1. Let r be v(-5). Suppose 3*s = 21 - r. What is the units digit of s?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = -2*z**2 - 17*z + 9. What is u(-8)?\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (9*m + 5*m - 5*m)*(-2*m**2 - m**3 + 2*m**2)*(8 - 18 + 29) + (-13 - 6 - 31)*(-5 + 5 + m**4) to s*m**2 + l + p*m**3 + f*m**4 + i*m and give f.\nAnswer: -221","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -2414525 + 10?\nAnswer: -2414515","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*l**2 + 576*l - 1136.\nAnswer: -4*(l - 142)*(l - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = o**3 - 2*o**2 - 8*o + 11. Let m be g(4). Let b(n) = 503395*n + 716604*n + 1 - m. Let c be b(-10). Round c to the nearest one million.\nAnswer: -12000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -197119, -394259, -591399, -788539, -985679?\nAnswer: -1182819","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (i - 11*i - 3*i)*(4*i**2 - 4*i**2 + 2*i**2 + (3*i - 5*i + 0*i)*(-i + 1 - 1) + i**2 + i**2 - 3*i**2)*(-i**2 - 2 + 2).\nAnswer: 39*i**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2844070, 2844077, 2844086, 2844097, 2844110, 2844125?\nAnswer: 2844142","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(sqrt(3) + sqrt(48)*3).\nAnswer: -39*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(180)\/sqrt(4) + sqrt(30)\/(sqrt(18)\/sqrt(3)) + 5*(sqrt(5) - 5*(1*sqrt(5) - sqrt(5))).\nAnswer: 9*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 354 and 2.\nAnswer: 354","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = -2598*t**2 + 6*t - 1987. Let m(u) = 7797*u**2 - 22*u + 5963. Let l(h) = 7*d(h) + 2*m(h). What is the second derivative of l(v) wrt v?\nAnswer: -5184","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 34, 50, 70, 94, 122, 154, 190?\n\"Answer: 2*r**2 + 10*r + 22","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + ((2*sqrt(66) - sqrt(66))*-4 + sqrt(66) + (-5*sqrt(66)*-1 - sqrt(66) - sqrt(66) - sqrt(66)))\/(3*sqrt(54)*-3)*-6.\nAnswer: -3 - 2*sqrt(11)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 15\/12*13480\/674.\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -136*n + 132*n = -48. Suppose -179 = -3*r - 20. What is the remainder when r is divided by 147\/14*-1*n\/(-7)?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 177448 (base 16) to base 12.\nAnswer: 621634","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = -w**3 - 4*w**2 - 3*w - 2. Let t be s(-3). What is the units digit of ((-2)\/t - 2) + 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l = -5*b - 5613, 5586 = -113*l + 114*l + 4*b. Calculate the highest common divisor of l and 18.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) be the third derivative of z**5\/60 + z**4\/24 - z**3\/3 - 2*z**2. Let d be a(-3). Let k be -2 + -1 + 4\/d. Sort -9, -5, k in decreasing order.\nAnswer: k, -5, -9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of ((-56708)\/(-12) + -7)\/(0 - 6\/(-9))?\nAnswer: 2, 3539","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-434)\/(-6) - 14\/42. Suppose -2*l = 2 - 6. Calculate the least common multiple of (2\/(-4))\/((-2)\/n) and l.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -40 - -19. Suppose -4*k - 81 = -g + 64, g + 65 = -2*k. Let f = c - k. Is f a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fccf when four letters picked without replacement from ccfcf.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 12030*(2\/4 - 0)*2. Round z to the nearest one thousand.\nAnswer: 12000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -8005 + 8012. Let r(a) = -a**3 + 3*a**2 + 12*a - 6. Let v(i) = -5*i**3 + 14*i**2 + 61*i - 29. Let f(t) = 11*r(t) - 2*v(t). What is f(m)?\nAnswer: -36","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-11925)\/31005)\/(2\/(-130))\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 41749993 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 14281859 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 169257 and 2024?\nAnswer: 253","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -10020 + -15?\nAnswer: -10035","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Product of -8236 and 212.\nAnswer: -1746032","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 3961 - 3931. Let o = 19 - 2. Let s = o - 2. What is the smallest common multiple of s and x?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 37570434 divided by -6?\nAnswer: -6261739","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 126 a factor of 335664?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3*g**3 + g**3 - 2*g**3)*(-4*g + 3*g + 3*g) + (-32*g**3 - 5 - 15*g + 33*g**3 + 8)*(-g + 3*g + 2*g) to j*g**3 + f*g + n*g**4 + w*g**2 + d and give f.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 divided by -637943.\nAnswer: 2\/637943","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (1 - (3 - (-9 - -17)))*15\/42. Factor -12\/7 - 3\/7*l**2 + t*l.\nAnswer: -3*(l - 4)*(l - 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 6*w - 339 with respect to w.\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1 + 1. Suppose -d*y = -b - 3*y + 3, 3*y = b + 1. Suppose 5 = -3*h - n, -4*h - 3*n - 1 = 14. Solve -4*l + b*l - 8 = h for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -3946 and -0.5.\nAnswer: 1973","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -2 + 2. Suppose -c + 5*l = l + 12, -3*l = 2*c - 20. Solve -4*f + c = -r for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = w - 3. Let z be x(-16). Suppose -2*l + 2*u = 80, 2*l + 4*u = 3*l + 40. Let f = z - l. What is the units digit of f?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(136)*1)\/sqrt(8) + ((sqrt(136)*2)\/sqrt(8) + sqrt(17))**2 + sqrt(17).\nAnswer: 2*sqrt(17) + 153","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 761\/29 - 116861\/4408. What is the common denominator of 68\/3 and c?\nAnswer: 456","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 104 (base 8) to base 12.\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1323*t + 1007*t - 1278*t - 71730 = 0 for t.\nAnswer: -45","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: (9 - 16) + (20 - 2) - (-2 - -81)\nAnswer: -68","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (819\/(-6) - 1)\/((-2)\/8). Suppose -q = 59*p - 64*p. List the prime factors of p.\nAnswer: 2, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g - 4 = -2. Factor d**2 - 11*d + 2*d**2 + g*d.\nAnswer: 3*d*(d - 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 85 a factor of 4165?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -7203 + 17811. Is o a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 117442?\nAnswer: 2, 13, 4517","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = -y**2 - 2*y + 1. Suppose 0 = -5*t + u + 7, -2 = 2*t + 5*u + 6. Let g(h) = 1. Calculate t*j(c) + g(c).\nAnswer: -c**2 - 2*c + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a = 1036650 + 2617385. Let b = -190010161\/260 + a. Let r = b - -4\/65. What is the nearest to r in -0.3, 2\/17, 0.2?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 20 + -93. Let u = -48 - -175. Let h = u + p. What is the highest common divisor of h and 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 18 and 111.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: ((-60)\/675)\/((-2)\/(-5))\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1695*j - 1698*j + 6817*j - 1725*j - 4*j**3 - 1699*j.\nAnswer: -4*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 1710 to the power of 1\/3, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1110100001110011101 (base 2) to base 7.\nAnswer: -4021635","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -87, 2\/15, 1\/28 in descending order.\nAnswer: 2\/15, 1\/28, -87","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express 6*y - 3 - 2*y**3 + 0*y**3 - 8 - 63*y**3 + 9 in the form x*y**2 + w*y + f*y**3 + s and give w.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is (-154)\/(-35) + -6 - 3190\/(-25) a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + -3*((sqrt(1053)*-1)**2 + 0 + (-3*(1*sqrt(832) - sqrt(832)))**2))*-5.\nAnswer: 15795","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1754 + 13446. Suppose -8*h + 2*c = -12*h + 11700, -4*h = 4*c - t. Is h a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2173918597?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -244 or -48?\nAnswer: -48","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 112203303101 (base 4) in base 2?\nAnswer: 10110100011110011010001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -217 * 2\nAnswer: -434","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-25*z**2 + 27*z - 27*z)*(6*z**2 + 10*z - z**2 - 8*z + 2*z**2 + z**2 - 4*z**2 + (-z - z + 3*z)*(0 + 0 + 2*z)).\nAnswer: -150*z**4 - 50*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {r: 4, y: 5, k: 2, w: 4}. What is prob of sequence yyyy?\nAnswer: 1\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.2, -0.06, 402, -3\/5, 56, 0 in descending order.\nAnswer: 402, 56, 0.2, 0, -0.06, -3\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/3 in -4, 0.069, -2, -8679, -0.4?\nAnswer: 0.069","meta":{"dup_signals":{},"source":"comparison__closest_test"},"subset":"dm_maths"} +{"text":"Question: Is 621072 a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) be the first derivative of 193 + 64*n - 4*n**3 + 0*n**2 - 1\/2*n**4. Find v such that i(v) = 0.\nAnswer: -4, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t = -0*j + 2*j - 668, 5*t + 2*j = 1112. Let q = 1988 - 1997. Is ((-6)\/4)\/(q\/t) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = -33*r + 34*r + 4*g, r + 3*g = -9. Put r, 729, 4 in increasing order.\nAnswer: r, 4, 729","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) be the first derivative of -2*h**6\/15 - 12*h**5\/5 - 10*h**4 - 56*h**3\/3 - 18*h**2 + 69*h + 56. Let t(i) be the first derivative of a(i). Factor t(b).\nAnswer: -4*(b + 1)**3*(b + 9)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in one tenth of a milligram?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*h**5\/7 - 804*h**4\/7 + 100690*h**3\/7 - 5040680*h**2\/7 + 12358944*h + 91654784\/7 = 0. Calculate h.\nAnswer: -1, 52, 76, 223","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 30\/7*224\/48. Let n be (-4 + 104\/l)*5. Suppose -s + 2*q = n, 3 + 23 = 5*s + 4*q. Solve 12 = -s*v + 6*v for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) -7 (b) -4 (c) -1.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 3*40\/(-96) + (-63)\/(-12). Solve -g = -i*f - 13, 2*f + 2 - 1 = -5*g for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = g**3 + 11*g**2 + 11*g + 6. Let y be q(-10). Let z = -0.06 + -0.34. Let k = 0 - z. What is the second biggest value in -5, y, k?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 14 + -7. Let r be (-10)\/(-4)*64\/40. Solve r*h = 27 - s for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a - 4 = -2*n, -3*n + 3*a - a = -6. Suppose 2 = 3*i + i + 3*p, -2*p - 8 = -n*i. What is the fourth biggest value in i, -2, -4\/5, 0.2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 39aa3051 + -5?\nAnswer: 39aa3047","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 8501 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Divide 159 by -7.\nAnswer: -159\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = 5*i - 54. Let q be (-3)\/(-5 - -2) - -4. Let c be 1 + 1 + q + -2. Solve -3 - i = c*k for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.04 + -2.96. Let r = -0.2 - -0.4. Let m = 0.737 + -0.337. What is the nearest to r in 4, c, m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = 12*y - 7. Let g(n) = -4*n + 2. Let j(i) = 8*g(i) + 3*s(i). Let r(m) = 3*m - 4. Let d = 2496 + -2493. Determine d*r(v) - 2*j(v).\nAnswer: v - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -238613, -238490, -238285, -237998, -237629, -237178?\n\"Answer: 41*y**2 - 238654","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 2 (b) 3\/8 (c) 4 (d) -13 (e) 21\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 127399069631 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-14 - (-445)\/45) + 12\/(-2 - -5). What is the closest to 40.9 in 2, 1, w?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*n**4 + 1290*n**3 - 268461*n**2 - 123645792*n + 123912960 = 0.\nAnswer: -368, 1, 305","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.3 in 62965, -0.5, 4, -7, -1?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -24*f*q - 27679*f + 2*q**3 + 1034*q - 2 wrt q?\nAnswer: -24*f + 6*q**2 + 1034","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:29 AM and 4:16 AM?\nAnswer: 107","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + 2*(-2*sqrt(20)\/sqrt(4))**2*4)*-2.\nAnswer: -316","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -47626737 divided by -4201?\nAnswer: 11337","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2429*g = -4876*g + 2337*g - 2090 for g.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g\/(g*g*(g*(g**(-4\/15)*g)\/g)\/g)*g**(1\/10)\/g)\/(g\/((g**(-7)*g)\/g))**(-28))**(-2\/13) assuming g is positive.\nAnswer: g**(-6671\/195)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -541 + 557. Let a(r) = 6*r**2 - r - 62. What are the prime factors of a(s)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = 27*s**2 - 88*s + 1387. What is the tens digit of w(23)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = 2*j. Let d(p) = 3*p + 136. Suppose 3*i + 17*i - 80 = 0. Let f(g) = g. Let n(y) = i*f(y) - d(y). Calculate n(t(a)).\nAnswer: 2*a - 136","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-five quarters of a litre in millilitres?\nAnswer: 6250","meta":{"dup_signals":{},"source":"measurement__conversion_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: Is -7507660 < -7507701?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:22 AM and 3:17 PM?\nAnswer: 535","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) be the second derivative of -5*r**8\/28 + r**6\/30 - r**4\/4 + 7*r**2 - 2*r + 18. Find the third derivative of u(z) wrt z.\nAnswer: -1200*z**3 + 24*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -1\/2, -13, -0.4 in ascending order.\nAnswer: -13, -1\/2, -0.4, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -516*x + 6596 + 3290 - 2146 for x.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q - 30 = c - 6*c, 2*c = -3*q + 15. Solve -2*i + 5 + q = 4*h, 2*h = 5*i - 20 for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 0.15 and 4.\nAnswer: 4.15","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = w**2. Let b(g) = -12*g**2 - 5. Let f(u) = -30*u**2 - 12. Let o(c) = 12*b(c) - 5*f(c). What is k(o(y))?\nAnswer: 36*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*k**3 + k**2 - k**2 - 416 + 49*k**3 + 416 + (4*k**2 + 0*k**2 - 3*k**2)*(-k + 3*k - 3*k).\nAnswer: 45*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -2, -1\/4, -0.4, 4, 24.4, 0.07, 5?\nAnswer: 0.07","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 2, -1\/8, -5, 1.03 in decreasing order.\nAnswer: 3, 2, 1.03, -1\/8, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 468 minutes before 4:32 AM?\nAnswer: 8:44 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0 and 6006570.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -220*l**2 + 105*l**2 + 100*l**2.\nAnswer: -15*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -252, -245, -226, -189, -128, -37?\n\"Answer: u**3 - 253","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 473 divided by -586537\nAnswer: -473\/586537","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert 783017 (base 9) to base 10.\nAnswer: 468034","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*g + 13*g - 7. Let u be (137\/33)\/(g - (-4)\/12). Let r = u + -26\/11. Which is the third biggest value? (a) r (b) 1 (c) -6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 371 * -0.24542\nAnswer: -91.05082","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:17 PM and 9:07 PM?\nAnswer: 530","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from nqqnrnfn. What is prob of picking 1 n, 1 f, and 1 q?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = 2*z - 2. Let t = 41 + -36. Give v(t).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -2*(-2)\/(-4) + 6. Sort 1\/5, t, -0.2 in descending order.\nAnswer: t, 1\/5, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -x**4 + x**4 + 3*x**4 + (-3 - x**2 + 3)*(-133*x**2 - 384*x**2 + 755*x**2).\nAnswer: -235*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = -17*t**3 - 3*t - 4. What is the remainder when 77 is divided by h(-1)?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 = r + 2*b, 0*r + 2*b + 13 = r. Let u = r + -9. Let c be -2*(-9)\/u*-2. Solve -k - c = -4*k for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -12 + 17. Let s be 1\/(-4) - ((-594)\/24)\/11. Solve y*o = s*o + 9 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1081.8 - -1083.8. Sort -1, h, 3\/14, -0.36 in descending order.\nAnswer: h, 3\/14, -0.36, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 798810 is divided by 399310.\nAnswer: 190","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*((6*(-3*sqrt(32) + sqrt(2)) + (-2*sqrt(2) - sqrt(2))*3*1)*-1)**2*6.\nAnswer: 270000","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 14\/63 - 110310836\/(-18). Suppose 328380 = -5*b + x. What is b rounded to the nearest one hundred thousand?\nAnswer: 1200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 32000 and 616960.\nAnswer: 1280","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 11970 and 4335.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0196827ng in kilograms?\nAnswer: 0.0000000000000196827","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 191*l - 16629 = -532*l for l.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0 - 0.1. Suppose -31 = 4*m + 3*r, 0*r + 3*r + 11 = m. Let x be (-64)\/(-114) + m\/6. Sort x, -1\/4, d in ascending order.\nAnswer: -1\/4, x, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:18 AM and 11:09 AM?\nAnswer: 291","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = 364560*v**2. Let w(t) = -554*t**2. Calculate d(w(h)).\nAnswer: 111889296960*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 10 - 2211242?\nAnswer: -2211232","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -108 + 251. What is the greatest common factor of c and 13?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 7581 (b) 2 (c) -16056\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 2, -0.1, 26, -2, -4\/21?\nAnswer: -4\/21","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 6.376 plus 3584253501.4?\nAnswer: 3584253507.776","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 30656.\nAnswer: 2, 479","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.27 and -151.\nAnswer: 40.77","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 14.4 + -14.44. What is the nearest to 0.1 in -2, -5, v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = l**3 + 6*l**2 + 5*l + 6. What is p(-5)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -8, 2, 42, 18 in decreasing order.\nAnswer: 42, 18, 4, 2, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = -178*n**3 - 17*n**2 + 5*n + 3. Let k(c) = -178*c**3 - 13*c**2 + 4*c + 2. Give 5*k(m) - 4*x(m).\nAnswer: -178*m**3 + 3*m**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -1.13905 times -1.6\nAnswer: 1.82248","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = 88*k - 4. Let l be (-8)\/20 + 0 + 7\/5. What is the tens digit of b(l)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = 26*z - 6. Let s be n(3). Let p be 30\/s - 4\/6. What is the closest to 2\/7 in p, -1, 1?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8717247 a multiple of 599?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -2 + (3 - 4) + 7. Suppose j*w + 2*i = -2, i = -3*w - 0 - 3. Is (-2)\/w - 216\/(-6) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 3 * 0.557122.\nAnswer: 1.671366","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = 37*o. Suppose -5*f - 11 = -4*p, -p + 6*f - 2*f = -11. Give w(p).\nAnswer: -37","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 15*(-5 - (-87)\/18)*-2. Suppose 895 = 2*f + 3*x, -4*f + m*x = -3*f - 480. Is f a multiple of 65?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8047 (base 9) in base 2?\nAnswer: 1011011110011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21*s = 11*s + 30*s - 180. What is the remainder when 477 is divided by s?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14117 = -75*q + 16217 for q.\nAnswer: 28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.08, 6, 1, 3\/2, 4 in descending order.\nAnswer: 6, 4, 3\/2, 1, -0.08","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 3652 a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -4 + 1725?\nAnswer: 1721","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -3067*x**2 - 17*x + 3 wrt x?\nAnswer: -6134","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -4 - -705?\nAnswer: 701","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of (2185\/874)\/(5\/15944)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-3)\/(-9))\/((-4)\/(-3))*6.\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = 4*r**4 - 2*r**3 + 5*r - 2. Let a(y) = -12*y**4 + 7*y**3 - 14*y + 7. Let j(m) = 2*a(m) + 7*c(m). What is the second derivative of j(b) wrt b?\nAnswer: 48*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) be the third derivative of -p**5\/20 - p**3\/6 - 36*p**2. Calculate r(-1).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o - 2*c - 34 = 0, -c + 88 = o + o. Calculate the highest common divisor of 147 and o.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = 521630*c**2 - 2*c. Let w(z) = 7*z**2. Determine a(w(g)).\nAnswer: 25559870*g**4 - 14*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -14497, -57752, -129745, -230476?\n\"Answer: -14369*m**2 - 148*m + 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kh when two letters picked without replacement from {b: 1, k: 3, z: 1, h: 2}?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) be the third derivative of p**5\/20 - 17*p**4\/8 + 21*p**3 - 11*p**2 + 2*p. Determine d so that m(d) = 0.\nAnswer: 3, 14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = -6639*g - 11. Let i be j(-1). Let k = -2667 + i. Is k prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -357 (base 12) in base 9?\nAnswer: -614","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = 15*f**2. Let s(h) = -4*h - 13. Calculate s(u(r)).\nAnswer: -60*r**2 - 13","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express 23*k - 18*k + 10*k - 2 - 17 - 1 as l*k + p and give p.\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 60 a factor of 163?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -744*m*o**5 + 3379*m*o**2 + 6*m*o - 6*o**5 wrt o?\nAnswer: -44640*m*o**2 - 360*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 5981080 and 280?\nAnswer: 280","meta":{"dup_signals":{},"source":"numbers__gcd_test"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(6480) - sqrt(6480)*3 - sqrt(45))\/(sqrt(72)\/(sqrt(8)*-1)).\nAnswer: 25*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 18314.86 nanograms in tonnes?\nAnswer: 0.00000000001831486","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -1*(-2)\/(6 - 5592\/933). Let w = 433 - s. What is the remainder when w is divided by 18?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -140 + 205.915. Let b = w - -0.085. Let j = b + -57.2. Round j to the nearest integer.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*g + 56*f = 2*g + 50*f - 12, -19*g + f + 401 = 0 for g.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (s - 4*s + 2*s)*(-2 + 0 + 4) - s - s + s + (-18*s + 11 - 11)*(3 - 2 - 2)*(2 + 4 - 4) to the form o + x*s and give x.\nAnswer: 33","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -686958*a**5 + 308597*a wrt a.\nAnswer: -13739160*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 68\/255*(-45)\/(-162)?\nAnswer: 2\/27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m - m = -10. Suppose 0*q + 25 = 5*q + 5*p, 16 = -4*q + m*p. Let w be ((-1)\/(-4))\/((-1)\/(-4)). Is w bigger than q?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 60960, 60894, 60828?\nAnswer: 60762","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = -2*v**2 - v**2 - 1 - 6*v - 10*v**3 + 7*v**3 + 0*v**3. Let f(y) = y**3 + y + 1. Let g(l) = 4*f(l) + o(l). Calculate g(3).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 2796aa3 - -14?\nAnswer: 2796ab7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1 or -0.484?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -4233 - 3100?\nAnswer: -12333","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 16, 72, 164, 292, 456, 656?\nAnswer: 892","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g = 3*k + 8 + 77, 2*k = -10. Let m = g - 18. Let u(b) = -4*b + 3. Is 19 a factor of u(m)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = t**3 + 8*t**2 - 9*t + 4. Let p be i(-9). Suppose 4*j = -3*q + 59, p*j - 4*q - 80 = -0*q. Calculate the greatest common divisor of 17 and j.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:34 AM and 9:15 PM?\nAnswer: 641","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -42\/781 and -19\/45298?\nAnswer: 45298","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = 560*t**3 - 552*t**3 + 632*t - 2 - 7*t**2 - 644*t. Let j(a) = -a**3 + a**2 - a. Calculate i(z) + 6*j(z).\nAnswer: 2*z**3 - z**2 - 18*z - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-13 + 13 + 9*w)*(2*w**2 + 4*w**2 - 5*w**2) + 2*w**3 + 2 - 2.\nAnswer: 11*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*w - w + 10 = -k, 0 = 4*k. Factor w*x**3 + 14*x**2 - 6*x + 4*x**2 - 5 - 2 - 1 - 6*x**2.\nAnswer: 2*(x + 1)**2*(5*x - 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 56\/(-20) + (1 - -1). Sort 2, r, -3\/5.\nAnswer: r, -3\/5, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 230*p**2*w**3 - 209391*p**2 + 202946*p*w**3 + 6*p + 2 wrt w?\nAnswer: 690*p**2*w**2 + 608838*p*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = 3*p + 2. Let s be v(9). What is the derivative of -11*m - 9*m + 27 - s*m - 8 wrt m?\nAnswer: -49","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 y when two letters picked without replacement from vvyyvyvvyv.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from isshyktthsihihihiss. Give prob of sequence thy.\nAnswer: 5\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*w + 11 + 31. Suppose w = 5*t - 3*t + 2*g, 0 = -4*t + 3*g - 7. Which is the biggest value? (a) t (b) -2\/9 (c) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor k**4\/6 - 7*k**3\/6 + 5*k**2\/6 + 7*k\/6 - 1.\nAnswer: (k - 6)*(k - 1)**2*(k + 1)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4\/(-6))\/((-6)\/(-27)) + (-133)\/(-44).\nAnswer: 1\/44","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2260 a multiple of 86?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 w and 1 d when two letters picked without replacement from dddwwwdwwwdwwwww.\nAnswer: 11\/24","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence dy when two letters picked without replacement from {y: 1, d: 1, h: 2}.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -4*d*u**4 + 3*d*u**2 + 11*d - 2*u wrt u.\nAnswer: -96*d*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-44)\/(-528)*4)\/(1\/24).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3371?\nAnswer: 3371","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -7, -9, -4, 172, 1.\nAnswer: -9, -7, -4, -2, 1, 172","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 3725d16 - 2?\nAnswer: 3725d14","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -18518130*v - 3137792.\nAnswer: -18518130","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 78*1*(3\/1)\/(146\/((-876)\/(-54)))?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = 4*t**5 - 5*t**4 + 3*t**3 + 2*t**2 + 2*t. Let f(i) = -i**5 + i**4 - i**3 - i. Let a = -1 - -3. Let h(l) = a*u(l) + 6*f(l). Factor h(b).\nAnswer: 2*b*(b - 1)**3*(b + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 17.37628 nanometers?\nAnswer: 0.00001737628","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 6\/10 - (-48)\/20. Suppose i*s + 14 = -5*c, -c - 11 = c + 3*s. What is the tens digit of ((-6)\/2)\/(c\/18)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ou when two letters picked without replacement from uouooouuuuouuuooauuo?\nAnswer: 22\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round 19305.452 to the nearest one thousand.\nAnswer: 19000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(42)*3)\/sqrt(6) - (sqrt(252) + sqrt(252) + -1)**2) + -3.\nAnswer: -1012 + 27*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -93 + 89. Sort g, -1, 3\/7, 2 in ascending order.\nAnswer: g, -1, 3\/7, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 40196 to the power of 1\/2, to the nearest integer?\nAnswer: 200","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 23 - 20. Let o = z + -1.8. Let p = -1.2 + o. Which is the second biggest value? (a) p (b) 3 (c) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -11*q**3 - 9*q**3 - 4*q**3 + (-2*q**2 + 5*q**2 - 5*q**2)*(2*q - 2*q - 4*q) - 3*q**3 - q**3 + 3*q**3 - 2*q.\nAnswer: -17*q**3 - 2*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-1 - -2)\/(5\/(-65)). Let g = 23 + v. Solve g = -r - r for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fszl when four letters picked without replacement from {z: 1, f: 1, s: 3, l: 2, x: 4}?\nAnswer: 1\/1320","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -119 - -128 - (21 - (-2 + 1)).\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 1395?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 22781413.\nAnswer: 4421, 5153","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) be the second derivative of -g**5\/24 - g**4\/12 - 2*g**3\/3 - 4*g. Let h(y) be the second derivative of o(y). What is the derivative of h(j) wrt j?\nAnswer: -5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 104470 to the power of 1\/2, to the nearest integer?\nAnswer: 323","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 1539, 1478 in decreasing order.\nAnswer: 1539, 1478, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -804 or 5.5786?\nAnswer: -804","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = i**5 + i**4 - i**3 + i**2 - i. Let a(z) = -4*z**5 + 26*z**4 + 357*z**3 + 1659*z**2 + 2053*z - 4096. Let k(q) = -a(q) - 5*n(q). Solve k(u) = 0 for u.\nAnswer: -8, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) be the third derivative of v**4\/12 - v**3\/2 - 3*v**2. Let h(k) = k - 7. Let s be h(10). Determine z(s).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 s and 2 o when four letters picked without replacement from wwmmvhoovhmmsvvmhsmh?\nAnswer: 1\/4845","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1.5 + -7.5. Let h = -11 - z. Let t = 1 - 1.2. What is the nearest to 1 in 3, t, h?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 4\/31 in -5, 2\/11, -0.0731?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 68828971?\nAnswer: 17, 151, 26813","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (10 - (-3 - -3)) + -3. Let y be 65\/7 + (-2)\/x. Let b(f) = y + 3*f - 9. Let v(r) = 2*r**2. Determine b(v(i)).\nAnswer: 6*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Are 10 and 10 nonequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*c = -2*u, -7*u - 5*c = -8*u for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 40 - (-2 + 1) - (18 + 6 + -16 + -8)?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = -8*o**2 + 37*o - 36. Let t be w(-20). What is the units digit of (12\/14)\/((-4)\/t)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 540, 1451, 2362, 3273, 4184?\nAnswer: 5095","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = -5*i**2 - i - 6. Let q(v) = 6*v**2 + 7. Let x(k) = 7*c(k) + 6*q(k). Let u be x(7). Solve -2*n + 3*b - b + 8 = u, b - 6 = -n for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z + 2 = 20. Suppose -2*y - 16 = -z*y. Solve -y*f + 8 = -4*i, 3*i + 6 = 4*f - 2 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 51 - 19. Calculate the lowest common multiple of 4 and o.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -638*v + 2342*v + 8006*v + 1334*v in the form t + m*v and give m.\nAnswer: 11044","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 20857 is divided by 149?\nAnswer: 146","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(245) - (-4 + (-1 + sqrt(245) - sqrt(245)) + sqrt(245)))**2 + 0.\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -7064108, -7064111, -7064114, -7064117, -7064120?\nAnswer: -7064123","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -49 + 30?\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round 9.041 to 1 dp.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Determine k so that -3*k**5 + 285*k**4 - 2832*k**3 + 4944*k**2 + 8064*k = 0.\nAnswer: -1, 0, 4, 8, 84","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k + 3*k + 4 = 0. Suppose -x - 34 = 5*n, -2*x + 5 = n + 19. Is (4\/n)\/(k\/21) even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v - 3*w - 2 = 0, 3*v = 2*v + 2*w - 2. Suppose -2*u + 0 = a - 28, -7 = -a + 5*u. What is the common denominator of -69\/22 and -2 + ((-89)\/a - v)?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b = 5*b + 5*u - 79, b = 3*u + 103. Suppose -2*z = -m - 4*m + 113, -b = -4*m - 2*z. What is the units digit of m?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(176)*4 - sqrt(176)) + 0 + 4 + 4*sqrt(11)*4 + 1)*-5)**2.\nAnswer: 7000*sqrt(11) + 216225","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.008 - -36.008. Let i = 36.0018 - f. Round i to 3 decimal places.\nAnswer: 0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve f = 6*f - 10 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.10796 + -0.05773. What is m rounded to 3 decimal places?\nAnswer: 0.05","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 3*m*t**2 + 11635*m - 8*t**2 with respect to t.\nAnswer: 6*m*t - 16*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = -i**3 + 42*i**2 + 39*i + 164. Calculate r(43).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 625522, 625482, 625434, 625378, 625314, 625242, 625162?\nAnswer: 625074","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 38 a factor of 1938?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) be the first derivative of 686*a**3\/3 + a**2 + a + 75. What is the hundreds digit of j(-1)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is v in 2*v**2\/11 + 1052740*v\/11 = 0?\nAnswer: -526370, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 404084032?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(90)\/sqrt(5)*1 - (1*sqrt(162) - sqrt(18)))\/(sqrt(144)\/sqrt(4)*1))**2 + 5 + 4.\nAnswer: 19\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-3)\/(66\/10))\/((-632)\/(-6952))?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 12\/7 in -5, 2, 0.06, -0.2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + (-4*1*sqrt(432) - sqrt(6)\/(sqrt(4)\/sqrt(2)*5)))**2*3.\nAnswer: -2892*sqrt(3)\/5 + 523029\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 5 - 11. Let v = f - -33. Does 9 divide v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 4\/(-6)*(-30)\/(-5). Let m(n) = 2*n**3 + 8*n**2 + 10*n + 6. Let u be m(q). Let f = u + 86. Is f a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*c = 4*c - 273. Suppose l - 59 = 5*v, -v + 4*l + 2 - 10 = 0. Let j = c + v. What is the units digit of j?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 950*c - c**2 - 240*c**5 - 2*c**3 + 15*c**3 - 13*c**3 wrt c?\nAnswer: -4800*c**3 - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1 - -7. Let h = -43 + 50. Which is bigger: h or a?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 709798387 to the nearest integer?\nAnswer: 59","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -19*d**4 + 5*d**3*o**2 + 456*d*o**2 - d wrt d.\nAnswer: -228*d**2 + 30*d*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (12 - (4 + -5) - ((-61 - -18) + 167)) + -4?\nAnswer: -115","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*l**3 - 2*l**3 - 3*l**3)*(2 + 1 - 4 + (6 - 3 - 7)*(-3 + 3 + 2) + 1 - 1 + 2) + 18*l**2 + l**3 - 18*l**2 + 5.\nAnswer: 8*l**3 + 5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8216803 is divided by 519.\nAnswer: 514","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.55, 0.14, 0.2, -4.\nAnswer: -4, 0.14, 0.2, 0.55","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -8, -4\/3, -0.3, 338, -2\/17?\nAnswer: 338","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7403 + 14114 - 936 = -1651*m - 9137 for m.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 1872581 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j - 5*l - 73 - 212 = 0, -5*j = -4*l - 290. Let g = -42 + j. Calculate the smallest common multiple of g and (-96)\/(-7) - 2\/(-7).\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 2.814 - 3.614. Which is the nearest to 1.8? (a) 1\/3 (b) z (c) 4 (d) 1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 472071569 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -795, -1627, -2449, -3261, -4063?\nAnswer: -4855","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 71\/4 - 18. Let s(t) be the second derivative of 133*t**3\/6 + 531*t**2\/2 + 27*t. Let g be s(-4). Put -0.08, g, x in increasing order.\nAnswer: g, x, -0.08","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -299, -321, -343, -365?\nAnswer: -387","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 5\/4 of a millennium?\nAnswer: 125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand 9*r - 14*r + 4*r + (0*r - 2*r + 3*r)*(3 + 0 - 4)*(-19 - 6 - 3).\nAnswer: 27*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 76*n - 98*n + 318263 = -332013. List the prime factors of n.\nAnswer: 2, 14779","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.103 less than 8210?\nAnswer: 8210.103","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) be the first derivative of -v**3\/3 + 15*v**2\/2 - 2*v + 3. Let d be k(10). What is the third derivative of 26*w + 22*w - d*w + 5*w**3 - 3*w**2 wrt w?\nAnswer: 30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*(6*(sqrt(539) + 1 + sqrt(539) + sqrt(539))*5 - -3*(sqrt(539) + -1 + 1)))**2.\nAnswer: 39060*sqrt(11) + 4662711","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-6)\/60)\/(9\/(-15) + 1)?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from sgssxfsp. What is prob of picking 1 s and 1 g?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -12 + 18. Suppose v*t - 56 - 136 = 0. List the prime factors of t.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 303823.\nAnswer: 13, 23371","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -90 + -1 - (-722 + 555)?\nAnswer: 76","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 2.11 + -0.11. Let q = -2.1 + n. Let f = 0.2 - 0.1. Which is the nearest to f? (a) q (b) 2\/5 (c) 2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange p + 11*p**2 - 15*p**2 + 13*p**4 + 2*p**2 to the form f*p**2 + i*p**3 + r + c*p + y*p**4 and give c.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 64796 > 64808?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 2115741 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 5009?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -2387 + 1239. Let i = -535 - l. Is i a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-11)\/(-44))\/((8 + 7)\/(-2220))?\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-14)\/(-8) + 3 + -5. Let u be (6\/66)\/(4\/(-4) + 0). What is the second biggest value in k, u, -1?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1102221101 (base 3) to base 12\nAnswer: 14517","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide -5 by 39152134.\nAnswer: -5\/39152134","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 3\/13273 or 0?\nAnswer: 3\/13273","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 0 (base 11) to base 8\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*i - 29*i**2 - 4*i + 31*i**2 + 3*i - 301*i**2.\nAnswer: -299*i**2 - i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 316713284 to the power of 1\/6, to the nearest integer?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from xtzjxuzjueujzjjjj. What is prob of picking 1 z, 1 j, and 1 x?\nAnswer: 21\/340","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 55175759083 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 2 - -1. Let q = 3.3 - o. Which is the nearest to 0? (a) 8 (b) -2\/15 (c) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 1383c5a - 3?\nAnswer: 1383c57","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort 6, 1, 2 in ascending order.\nAnswer: 1, 2, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort 902, -2, 11814 in descending order.\nAnswer: 11814, 902, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = i - 5*n - 26, -6*n - 23 = 2*i - n for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.4 - 1.1. Let s = 1.9 + v. Let k be (-150)\/(-45) - 355\/120. What is the third smallest value in s, k, -2\/7?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7701552.\nAnswer: 2, 3, 79, 677","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 937608?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.18925509 rounded to 1 dp?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -290 - -291 - (-1 + (18 - 1))\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -45, -3, 2\/3, 4, 18\/7?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 120 - -29. Suppose 148 = 3*w - l. Calculate the remainder when w is divided by 26.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -67\/10 and -101\/20.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = -4*s**2 + 5*s + 5. Let d be (-120)\/(-18)*(-18)\/(-5). Let c be (-1)\/(-6) - (196\/d - 3). Let v(g) = 6*g**2 - 8*g - 8. Calculate c*v(l) - 8*y(l).\nAnswer: 2*l**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = o**3 + 27*o**2 - 163*o - 2164. Calculate r(-30).\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 3 + 0)*(2*y - 38*y + 0*y) + 3*y + 0 + 0 + (4 + 0 - 3)*(4*y + y - 3*y).\nAnswer: 41*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t - 93 = 15*d, 1 = -d - 29*t + 24*t. Let z(j) = j**3 + j**2 + j + 1. Let o(a) = 4*a**3 + 3*a**2 + 3*a + 3. What is d*z(g) + 2*o(g)?\nAnswer: 2*g**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 22\/23 in -0.1, 1\/5, 86, -0.3?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(320) + -3 - ((sqrt(80) + sqrt(80) + 0 + sqrt(80))**2 - sqrt(5)).\nAnswer: -723 + 9*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1114, -1099, -1060, -985, -862, -679?\nAnswer: -424","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-135*t + 150*t + 72*t)*(35*t**3 + 36*t**3 - 17*t**3 - 1).\nAnswer: 4698*t**4 - 87*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -493 or -3442\/7?\nAnswer: -493","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express 17*v**3 - 39*v - 42*v + v**2 - 11*v**3 + 13 - 46*v + 129*v in the form h*v + w*v**3 + k*v**2 + o and give w.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is -40584078 not equal to -40584079?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -277 divided by -4.\nAnswer: 277\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) be the first derivative of 5*h**2\/2 - 40*h + 5. Let x be m(18). What is the derivative of 29*z - x*z + 20*z**2 + 21*z + 8 wrt z?\nAnswer: 40*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1491*c**2 + 662*c**2 + 1638*c**2 + 129*c**2.\nAnswer: 3920*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -104 + 271\/3. What is the common denominator of v and 34\/21?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -348*q + 2*z = -347*q - 2*z + 5 + 18, 5*q - 2*z = 11 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence uv when two letters picked without replacement from {u: 1, e: 1, v: 9}.\nAnswer: 9\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 6.36 + -7.36. What is the nearest to 2 in -2\/7, 3, y, -5?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 1\/4, 0.32011, -0.5?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = 3*b - 3. Suppose -4*l = 2*v + 112 - 26, 4*v - 3*l = -183. Let k = -41 - v. What is the least common multiple of 2 and q(k)?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5658265 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*l + 6 + 18. Let t(u) = u**3 - 4*u**2 - u + 2. Let v be t(4). Let s = 0 - v. Calculate the greatest common factor of s and l.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*f + 126 = p + 145, -p = -f + 13 for p.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -19 divided by -75.\nAnswer: 19\/75","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ytx when three letters picked without replacement from ctxmy?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -76755866 - -20?\nAnswer: -76755846","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c = -5*y - 0*y + 2056, -2*c - 4*y = -1034. Is 13 a factor of c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = -228*c. Let z(f) = -86228*f**2. Calculate z(h(w)).\nAnswer: -4482476352*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -96, -157, -242, -339, -436?\n\"Answer: 2*x**3 - 24*x**2 - 3*x - 71","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ta when two letters picked without replacement from {a: 10, c: 1, t: 3, e: 4}?\nAnswer: 5\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 1127832450 to the power of 1\/3, to the nearest integer?\nAnswer: 1041","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence il when two letters picked without replacement from siikiiibbisslikiibb.\nAnswer: 1\/38","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = -g. Let r be l(-6). Suppose r*v - v - 300 = 0. What is the greatest common divisor of v and 40?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 52 minutes after 10:15 PM?\nAnswer: 11:07 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = 6*o**2. Let v(x) = -3*x**2 + 13. Calculate l(v(k)).\nAnswer: 54*k**4 - 468*k**2 + 1014","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q = -2*q + 3*j - 3968082, 0 = -5*q + 2*j + 6613456. Let t = -2042692 + q. What is t rounded to the nearest one hundred thousand?\nAnswer: -700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14653730 a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -169\/90 and (-204)\/(-3825) + (-2)\/4.\nAnswer: 450","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = -v**2 - 29678*v - 711807. What is u(-24)?\nAnswer: -111","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 3458 and 286?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 319 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = 43*l - 1. Let s(z) = 3. Let k(a) = -21*a + 4. Let f(y) = k(y) - s(y). Determine 3*d(m) + 5*f(m).\nAnswer: 24*m + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 41532525.\nAnswer: 3, 5, 197, 937","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-12*7)\/(6\/(-8)). Suppose 0 = -84*j + 5443 - 667 - 72. What is the greatest common factor of o and j?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = -p**3 + 12*p**2 - 11*p + 1. Let k be n(11). Let b(i) = -9*i**2 + i - 1. Give b(k).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-1)\/(-4) + 265\/(-740). Is 0.1 <= a?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = -b**3 - 5*b**2 - 7*b - 6. What is the remainder when 16 is divided by d(-4)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.3 and 68135925?\nAnswer: -20440777.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 3961 a factor of 496325183?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-5340)\/(-17) - (-8)\/(-68). Let k(g) = g**3 - 2*g**2 + 7*g + 1. Let c be k(6). Let i = t - c. Is i prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -265 (base 13) in base 16?\nAnswer: -1a5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12*s - 50*s + 17*s + 8*s + 14*s - 390.\nAnswer: s - 390","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) be the second derivative of 33\/5*q**5 - 2*q + 32*q**2 - 3 + 56*q**3 + 8\/15*q**6 + 88\/3*q**4. Factor w(t).\nAnswer: 4*(t + 2)**2*(t + 4)*(4*t + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 21*v - 18*v = -12 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -6528*a**2 - a - 8066.\nAnswer: -13056","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 43 - 3 = p. Factor -169*h**2 - p*h - 186*h**2 + 5*h**4 + 365*h**2 + 25*h**3.\nAnswer: 5*h*(h - 1)*(h + 2)*(h + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 2 - -9*(-1)\/3. Let k be (-16 - -222) + x\/(-1). Calculate the highest common divisor of 23 and k.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in three tenths of a century?\nAnswer: 30","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-4)\/12)\/(2\/(-12)). Let h(l) = 82*l + 4. List the prime factors of h(r).\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -47305 divided by 11.\nAnswer: -47305\/11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 divided by 444.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 4 - 7)*(-4*x**3 + 3*x**3 - x**3 + (0 + 0 + 2*x)*(3*x - 3*x - 2*x**2) + x**3 - 3 + 3).\nAnswer: 35*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 5 - 7. Let b = 0 - y. What are the prime factors of 50\/6 - b\/6?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = -4 + 2 + 1. Let a(r) = r**2 + 2*r + 2. Let s(t) = -a(t) - 3*i(t). Let p(y) be the first derivative of s(y). Calculate p(-5).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-five halves of a meter in centimeters?\nAnswer: 2250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-6)\/7*574\/(-123).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 216 and 464589.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -130851960*p**3 - 28*p**2 + 679151*p wrt p.\nAnswer: -785111760","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 234061.92 nanoseconds in days?\nAnswer: 0.00000000270905","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = 5*z**2 - 8*z + 5. Let l(j) = 3*j**2 - 4*j + 3. Let y(a) = -7*l(a) + 4*n(a). Suppose 4*i - 37 = -49. Let o be y(i). Put 4, 3, o in increasing order.\nAnswer: o, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 130305*d + 130299*d = 260627*d + 2392 for d.\nAnswer: -104","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (v**4 - 1 + 1 + (1 + 1 + 0)*(-24 + 3 + 2)*(2*v**4 - 3*v**4 - v**4))*(0*v - v - v).\nAnswer: -154*v**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (84\/(-1470))\/(1 - 4\/5). What is the nearest to 2 in 1\/7, v, -28\/11?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -5, 210, 567, 1066, 1707, 2490?\nAnswer: 3415","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -185 + 187. Let r be (-3)\/v*98\/(-21). Solve -l + 6 = 3*c - c, -l + r = 3*c for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 at least -26755?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 5971 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: Round -24.233 to 1 decimal place.\nAnswer: -24.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 2 (b) -17 (c) 71.3 (d) 0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 4559.56 days in hours?\nAnswer: 109429.44","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2 + 12*t - 41*t - 2 + 3*t + 2*t - 3*t + 0*t + 5*t - 2*t + (4*t - 3*t + 0*t)*(-3 + 2 + 2) - t - 2*t + t.\nAnswer: -25*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor -b**2\/2 - 447*b\/2 - 666.\nAnswer: -(b + 3)*(b + 444)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 0 + (0\/(-1) - -2). Let m be 355\/(-2)*72\/60. Calculate the remainder when m\/t*4\/(-6) is divided by 12.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-x**2 + 1 - 1 + 6*x**2 - 24 + 24 + (2*x + 4 - 4)*(-x + 0 + 0) + (2*x + 1 - 1)*(x + 1 - 1))*(4*x**3 - 4*x + 4*x).\nAnswer: 20*x**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 6284186039 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12 = 3*n + 8*z, n + 4*z - 49 + 53 = 0 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find w, given that -w**3\/5 - 10839*w**2\/5 + 15186*w + 86768\/5 = 0.\nAnswer: -10846, -1, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:30 AM and 1:42 PM?\nAnswer: 672","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = 4*w - 8. Let j be g(8). Let o = j - -14. Does 19 divide o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-16*x**2 + 523*x - 522*x - 107*x**2)*(-1 - 3 + 3 + (1 - 5 + 2)*(-1 + 3 - 4)) in the form f*x**2 + c + i*x and give i.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 223 minutes after 6:44 PM?\nAnswer: 10:27 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*m + 2*w = 10, -3*w + 8 = -m - 0*w for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11 = -w - 2*q, 6*w + q = 8*w + 3 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = 2*z + 17. Let c be w(-11). Let x(v) = v**2 - 7*v + 5. Let j be x(5). Is j less than c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -72*n + 350 = -62*n. What is the least common multiple of n and 40?\nAnswer: 280","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 32 is divided by 20?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 47797690.\nAnswer: 2, 5, 4779769","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 19823 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: Let w be (-5)\/((-45)\/(-466)) + 82\/(-369). Let y be (w\/(-24) + -2)*-1. Let f = 1\/25 + 71\/100. Which is the second smallest value? (a) 1 (b) y (c) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = -l**3 + 2*l**2 + 2*l - 2. Let q(y) = y**3 - y**2 - y + 1. Suppose -3*j - 3 = 3*g, j = g + 5*j + 13. What is g*d(r) + 6*q(r)?\nAnswer: 3*r**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((m**2*m)\/(m**(-2)\/m))\/(m\/m**(-1\/4)*m)**(-2\/29))**(-3\/5) assuming m is positive.\nAnswer: m**(-1071\/290)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*f - 146 + 32. What is the remainder when (f\/(-3))\/((-22)\/(-33)) is divided by 4?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 90899 + -35992. Is q prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.5 * 1.7.\nAnswer: 0.85","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 15097447?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3 + 4 + 0)*(-4*b + 3*b + 2*b) + (-6 + 6 - b)*(0 + 3 + 0) + (-5*b + 3*b + 5*b)*(3 - 7 - 6)*(-1 + 4 + 0) as d + h*b and give h.\nAnswer: -92","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-8 - (-3 + 1)) + 6.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify f**(6\/5)*f*f\/(f\/((f\/(f*f\/f**(-2\/79)))\/f))*(((f*f**(-1\/15))\/f)\/f)\/f*f*f\/(f*f**1) assuming f is positive.\nAnswer: f**(-2242\/1185)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 398 minutes before 1:38 PM?\nAnswer: 7:00 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.8 + -0.3. Let d = 4.92 - -389.08. Let w = d - 392. What is the closest to 3 in -1, m, w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify o**(-32)*o*o*o*(o\/(o**(-5\/11)*o))\/o*o*o*o*o*o**(-31)*o*o\/(o**34\/o)*o assuming o is positive.\nAnswer: o**(-952\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-19)\/19)\/(3\/(-2))?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*m**2 - 2*m**2 + 0*m**3 - 2*m**3)*(-132*m + 45*m - 75*m) + (0*m + 0*m + m)*(-2 + 2*m**3 + 2).\nAnswer: 326*m**4 - 324*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 greater than or equal to -22\/1308517?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = -p**4 - p**2 + p. Let y(j) = -7*j**4 - 31*j**2 + 9*j - 29. Let k(t) = 5*a(t) - y(t). What is the second derivative of k(x) wrt x?\nAnswer: 24*x**2 + 52","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 16128 divided by 4?\nAnswer: 4032","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 138 = 2*i - 780. What are the prime factors of i?\nAnswer: 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 15772500 divided by 175250\nAnswer: 90","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: (-6)\/((-8)\/(-3)*57\/76*-2)\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -34 in -0.5, -2, 0, 3\/4?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = b**2 + 5*b - 1. Let r be q(-5). Let s = 8\/17 + -6\/85. Which is smaller: s or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 39?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is (-18 - -13)*(-122)\/5 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -27915 + 27927. What is the lowest common multiple of a and 715?\nAnswer: 8580","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -2 + 7*j - 3*j**2 + 3*j**4 + 2*j**3 - 7*j + j**2 as x*j**2 + a*j + i*j**3 + n*j**4 + y and give a.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1758 - -7123. Does 185 divide t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = -2*l + 4. Let n(j) = j**2 - 4. Let i be n(0). What is the units digit of w(i)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1.1*0.5\nAnswer: -0.55","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 675 and 28908450?\nAnswer: 225","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 5141 or 5140?\nAnswer: 5140","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -0.4 (b) -2\/13 (c) 10 (d) -1 (e) -302\/13 (f) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 43\/2 of a meter?\nAnswer: 21500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -56*r**2 + 175.\nAnswer: -112*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 69 is divided by 10.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 0.15 and -8832074496?\nAnswer: 8832074496.15","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 201121020 (base 4) to base 14\nAnswer: 37bba","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence obbb when four letters picked without replacement from boobooobbboo.\nAnswer: 7\/198","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 2*(1\/5)\/(5 - 6)\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = -x - 16. Calculate c(-7).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1.67 - -0.07. Let m = i - -1.9. Let n = -0.28 - 0.12. What is the nearest to -0.2 in -2, n, m?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4)\/25*(-75)\/(-10).\nAnswer: -6\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -4, -2, -23, -9 in descending order.\nAnswer: 2, -2, -4, -9, -23","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ib when two letters picked without replacement from iifiibfbbibnzibib?\nAnswer: 21\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -4? (a) 1.2 (b) 0.3 (c) 7\/12 (d) 3 (e) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -646 divided by -34\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = 6*h**2 - 3*h - 2. Let u be s(-1). Let v = u + 0. List the prime factors of v.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 5829587711 + -5829587867.47777418. Let t = w + -19.52222481. Let k = t - -176. What is k rounded to 7 decimal places?\nAnswer: 0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(11) + sqrt(11) + -6*sqrt(176) + (1*sqrt(99) - sqrt(99))\/sqrt(9) + 4 + sqrt(396)*-4)**2.\nAnswer: -368*sqrt(11) + 23292","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g + 8*g + 24 = 0. Let l be 38\/19 + 14\/g. What is the biggest value in 5\/6, l, -4?\nAnswer: 5\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*y**5\/11 - 58296*y**4\/11 - 583126*y**3\/11 - 991356*y**2\/11 - 466528*y\/11 = 0. What is y?\nAnswer: -8, -1, 0, 29158","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 261, 259, 257, 255?\n\"Answer: -2*i + 263","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 4629844 to the power of 1\/3, to the nearest integer?\nAnswer: 167","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 25536\/34 + 32\/(-544). Which is greater: l or 5248\/7?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-3)\/2)\/((-30)\/100).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 21588 a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 7812 and 33.\nAnswer: 85932","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 67230803 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -27 - -26.98. Put -1\/3, -1, v in descending order.\nAnswer: v, -1\/3, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = -3*u**2. Let z(i) = -2*i**2 + 12. Calculate z(j(f)).\nAnswer: -18*f**4 + 12","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 35*v - 139 - 28 = 43. Solve 0 = -5*p - 31 + v, -2*t - 27 = 5*p for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1411 to the power of 1\/2, to the nearest integer?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = n - 5*d + 7 + 16, 0 = 5*n + d - 15. Let z = -4 - -6. Suppose h + w - 3*w = -4, -4*h + z = -n*w. Put h, 0, 2\/9 in descending order.\nAnswer: h, 2\/9, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 791325845 to the nearest integer?\nAnswer: 28131","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1618472, -3236946, -4855420?\nAnswer: -6473894","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -522506, -1045012, -1567504, -2089976, -2612422?\nAnswer: -3134836","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 11\/4 of a microgram?\nAnswer: 2750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express -26 + 13 + 13 - 2197*z - 341*z in the form r + w*z and give w.\nAnswer: -2538","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 4201533073 to the power of 1\/9, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 2\/7 (b) 4 (c) 2\/31 (d) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 5101919051 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 531 and 59?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -9 + 13. Let b be 6\/c + (-4)\/8. Let g = 16 + -10. What is the greatest common divisor of g and b?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1936310 and 3847030?\nAnswer: 8530","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = 2*d. Let x(w) be the second derivative of 22*w**4\/3 - 3*w - 16. Determine t(x(z)).\nAnswer: 176*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:04 AM and 8:03 PM?\nAnswer: 719","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 90327 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2*n*p*x**3 - 3*n*p*x**2 - 2*n*x**3 - 16*n*x - 4*p*x + 63*x**3 wrt x.\nAnswer: -12*n*p - 12*n + 378","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = -13*t**2 - 6 - 13*t - 5 + 4*t**2. Let i(j) = -5*j**2 - 6*j - 5. Let l(n) = -13*i(n) + 6*u(n). Let s be (-2)\/(((-4)\/2)\/1). Calculate l(s).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 30\/(-8)*(16 + (-1344)\/80). Suppose -5*g - 15 = -5*a, -g = -0*g + 5*a - 15. Solve -f*i - n - 5 = 1, g = 4*n for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3470 take away 0.011?\nAnswer: 3469.989","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 156\/(-504) + 5\/30.\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1217369 is divided by 1216744.\nAnswer: 625","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p - 53 = 10*y - 15*y, -2*y + 94 = 3*p. Suppose 0 = -35*t + p*t + 194817. Is t a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -57\/3426560 and 25\/3769216.\nAnswer: 37692160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*x = -x + 4*y + 7, -4*x = 4*y - 8. Let m(h) = -3*h + 16. Let o(n) = n - 5. Let k(z) = -m(z) - 4*o(z). What is k(x)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -3\/17 (b) 0.163 (c) 4\/5 (d) -1647\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1.242 - -1.342. Sort n, -26, -1\/4 in decreasing order.\nAnswer: n, -1\/4, -26","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 354556?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 31817 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 565386 to the nearest integer?\nAnswer: 752","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5496626 is divided by 2748310?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*r - 2*r + 72. Let w(y) = -y**2 + 12*y - 19. Let p be w(r). What is m in -p*m - 4*m**2 - 2\/3*m**3 - 16\/3 = 0?\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = 90*v. Let g be d(1). Suppose -4*a - 4*c = -72, -c + 3*c = -5*a + g. Suppose a = 2*y - 6. What is the units digit of y?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (28\/21)\/(57\/((-7695)\/(-54))).\nAnswer: 10\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is three eighths of a litre in millilitres?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor 7*p**3\/3 - 2350*p**2\/3 + 76769*p\/3 + 22126\/3.\nAnswer: (p - 299)*(p - 37)*(7*p + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 220 and 6445824.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s = -3*y + 26427, -23*s + 18*s + y = -44069. What is the units digit of s?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j + 2*a - 348 = -6*j, 2*a + 168 = 2*j. Does 15 divide j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 11\/8 of a meter?\nAnswer: 1375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -943 + 955. What is the smallest value in 2, 1\/8, t, -1\/5?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -3115, -3722, -4407, -5170, -6011, -6930?\nAnswer: -7927","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + 6*((-5 + (-2*1*sqrt(72) - sqrt(72) - -6*1*sqrt(72)))**2 + 2 + 3).\nAnswer: -1080*sqrt(2) + 4073","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.16 in -0.8, 3\/4, -0.587?\nAnswer: -0.587","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is -3358 greater than or equal to -3345?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xd when two letters picked without replacement from {k: 2, w: 1, s: 1, d: 2, v: 1, x: 1}.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 234*x - 225*x + 9. Let z be (9\/6 + x)\/((-2)\/(-8)). Let s(y) = -4*y - 1 + y + 3. Give s(z).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18*z + 74 = 38 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -456506878*q**6 + 24*q**2 - 19424*q + 50.\nAnswer: -54780825360*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Divide -603 by -3.\nAnswer: 201","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -9374*j**4 + j**3 - 23633*j**2.\nAnswer: -224976*j + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q - 10 = -3*q, -5*q - 140 = -5*c. Solve 85*y - c + 288 = 0 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -2\/13, -6301801, 2\/11, 6?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -55.78 + 56. Let s = l - 0.2201225. What is s rounded to 5 decimal places?\nAnswer: -0.00012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 1301 + -1?\nAnswer: 1300","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (19 + 14 + 10)*(-3*m - m + 6*m)*(0 + 2*m + 0).\nAnswer: 172*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 285*z - 193*z = -2484 for z.\nAnswer: -27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) be the first derivative of -p**7\/14 + p**3\/6 + 3*p + 2. Let b(o) be the first derivative of l(o). Find the second derivative of b(s) wrt s.\nAnswer: -60*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 116.52 to the nearest 10.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (771\/(-12)*2)\/((-18)\/36). Let m = o + -84. List the prime factors of m.\nAnswer: 173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 8 and 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 5, -4, -94, -3\/13?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (7707\/2202)\/(((-2)\/4)\/1).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 15.99375 litres in millilitres?\nAnswer: 15993.75","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 300*g - 356*g - 266*g.\nAnswer: -322*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = l**3 - 9*l**2 + 7*l - 9. Suppose 4*n = o + 37, 3*n - 2*o - 15 - 19 = 0. Give g(n).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -55\/804 and -105\/208.\nAnswer: 41808","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4)\/(-85)*(-10)\/4?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x + x = -6. Let i be (26\/x)\/((3\/(-36))\/(-1)). Is i equal to 52?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1187607481 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (4 - 2)*10\/4. Suppose -x*o + 8 = -2*s - 8, o - 2*s = 0. Let t be (-4)\/(8\/o) - 0. Which is greater: t or -3?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 11101221211 + -222221?\nAnswer: 11100221220","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*k**3 - 7190*k**2 + 341320*k.\nAnswer: -5*k*(k - 46)*(k + 1484)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 71133186?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 83*k - 22 = -2*q + 79*k, -34 = 2*q - 3*k for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1 + 0.99. Let j = 557.6 + -558. Which is the second biggest value? (a) j (b) w (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = -18*l**2 - 15*l - 10. Give m(-4).\nAnswer: -238","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert -30 (base 10) to base 4.\nAnswer: -132","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -3 or -2390\/1487?\nAnswer: -2390\/1487","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-105)\/(-10)*(-3 + (-52)\/(-12)). Let l(y) = -3 + 10 + g*y - y**2 + 7 - 3. Let b be l(14). Solve b = -3*d + 2*n - 9, 0 = 5*d - n + 24 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4423050 (base 9) to base 11\nAnswer: 1384125","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ilfffrilwirlilllw. What is prob of sequence wir?\nAnswer: 1\/255","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = y**2 - 3*y + 6. Let g(b) = b**2 - 17*b - 9. Let n be g(18). Suppose n*c - 48 = -3*c. Calculate the lowest common multiple of s(c) and 18.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (624\/224)\/((-450)\/(-525))?\nAnswer: 13\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -2 + 5. Let z be ((-4)\/(-6))\/((-2)\/(-6)). Let u = z - 0. Is u at least as big as t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1\/187 - -3\/17. Let x = 35 + -19. Let i = x + -16.5. Sort i, q, -0.1 in decreasing order.\nAnswer: q, -0.1, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0 + 6 - (5\/25 + 6)\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 divided by -66020.\nAnswer: 1\/66020","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 4419607 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 19*t = 20*t + 1 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (405\/(-50))\/(-27) + 171\/30.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) be the third derivative of c**6\/120 - c**5\/30 - c**4\/12 + 2*c**2. Let v be b(3). Calculate the highest common factor of v and 24.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c - 5*d + 34 = 0, 3*c + d - 9 = 11. Suppose -10*z = -c*z - 1524. Is z composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-10)\/25 + 51\/15. Suppose -112 = r*q - 25. Let j = -33 - q. Which is the nearest to 0? (a) j (b) -3 (c) -1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 7\/8 of a second?\nAnswer: 875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1277 + -1272. Solve t*p + 0*s + 20 = -s, p - s = 2 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {z: 4, q: 3, i: 1, h: 5, c: 1}. What is prob of picking 1 h, 1 i, 1 z, and 1 q?\nAnswer: 60\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand f**5 - 2*f**5 + 3*f**5 + (3*f**2 - 3*f**2 - 2*f**2)*(-9*f + 8*f**3 + 9*f) + 2*f**5 - 2*f**5 - 2*f**5.\nAnswer: -16*f**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = 140000*h**3 - h**2 + 4. Let r = -27 - -29. Let u be ((-7)\/7)\/(((-3)\/r)\/(-3)). Let q be v(u). Round q to the nearest 100000.\nAnswer: -1100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*((-1*(sqrt(550) - -2*sqrt(550)))\/(-5*sqrt(160)))\/((sqrt(360) - sqrt(360)*2)\/(6*sqrt(4)\/sqrt(2))).\nAnswer: -3*sqrt(11)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = -19298*f + 38523. Calculate j(2).\nAnswer: -73","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 23 - 6. Suppose -4*c - 4*n + 592 = 0, 2*n - 291 = -2*c - n. Calculate the highest common divisor of c and p.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2347*k**4 - 21*k**3 - 57451*k**2 wrt k.\nAnswer: 56328*k - 126","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = 5931*y - 4. Let b(m) = -6352084*m + 4285. Calculate 4*b(f) + 4285*r(f).\nAnswer: 5999*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 50408711 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-4)\/8)\/((-5)\/30).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find g, given that 39*g**3\/4 - 57932*g**2 + 86104755*g - 149955300 = 0.\nAnswer: 68\/39, 2970","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 19077622.\nAnswer: 2, 9538811","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 153 minutes after 12:10 PM?\nAnswer: 2:43 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does 1445 = 1441?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + 6*(-2*-4*(sqrt(99) - sqrt(99)*1)**2*5 + 2).\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 288 is divided by 27?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {q: 3, f: 1, e: 1, m: 1, h: 1}. What is prob of picking 1 h, 1 m, and 1 q?\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4858.\nAnswer: 2, 7, 347","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = -23128*i**3 + 472*i**2. Let t(h) = -593*h**3 + 12*h**2. What is -3*d(f) + 118*t(f)?\nAnswer: -590*f**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 - (-49 + -44 + (-12 - -16 - 20))?\nAnswer: 114","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 2078, -3, 0.2, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) be the first derivative of 37*h**2\/2 - 3*h - 575. Let z(d) = 18*d - 1. Calculate 3*x(b) - 7*z(b).\nAnswer: -15*b - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = -p**3 + 3*p**2 + 21*p - 15. Let s be v(6). Suppose -x - s*x = 2*t - 150, 3*x - 231 = -3*t. Is t composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2056?\nAnswer: 2, 257","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) be the first derivative of 2 + 2*u**2 - 3*u - 1\/3*u**3. What is t(5)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 c and 1 i when two letters picked without replacement from {c: 2, i: 1, a: 3, j: 1}?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 334043 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*n - 360 = -18*n. Let i be -1 - (-4)\/(16\/n). What are the prime factors of (-1)\/i*-2 - (-1462)\/8?\nAnswer: 3, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -45*p - 98*p - 9*p - 42 + 7794 for p.\nAnswer: 51","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 6 times 353\nAnswer: 2118","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*r - 9 = -2*k - 6*r, -6 = k + 3*r. Suppose -2*x + 1379 = k*m, x - 4*m + 1378 = 3*x. What are the prime factors of x?\nAnswer: 691","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = 3*a - 4*a. Let m be (60\/(-14))\/(a\/(-70)). What is m rounded to the nearest 100?\nAnswer: -300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = -1 - 248*v**2 + 3*v - 2 + 81*v**2 + 3. Let z(a) = a. Give l(z(d)).\nAnswer: -167*d**2 + 3*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -286050*p + 286049*p = 4*s + 31, -6*p = -4*s + 18 for p.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 455 - 3365. What is f rounded to the nearest one thousand?\nAnswer: -3000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2*j**2 + 2*j*z - 90546500*j + 174127064*z wrt j.\nAnswer: 4*j + 2*z - 90546500","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 109 is divided by ((-5)\/1)\/(89\/(-11) + 8)?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21*u - 99 = -12*u. Let v be (u - (-1)\/(-1))\/(-11). Let y = 0 + -5. Sort y, -3, v, 4.\nAnswer: y, -3, v, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 74199?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4451*i = -4771*i - 16320 for i.\nAnswer: -51","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(272)*6)**2 - sqrt(102)\/(sqrt(6)*-3).\nAnswer: sqrt(17)\/3 + 9792","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 17 divide (535\/(-20) - 3)\/(1\/(-4))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1493 or -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 176\/14 + 48\/(-84) + 0?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + (sqrt(300) + -1)*-2)**2*5.\nAnswer: 400*sqrt(3) + 6020","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) be the third derivative of 3*f**6\/40 - 4*f**3\/3 + 3*f**2. What is the derivative of r(x) wrt x?\nAnswer: 27*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1391184 equal to 1391211?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 1449214, 2898221, 4347228, 5796235?\n\"Answer: 1449007*m + 207","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 93009 and 804?\nAnswer: 24926412","meta":{"dup_signals":{},"source":"numbers__lcm_test"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:40 PM and 12:19 AM?\nAnswer: 279","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -12874652*l + 9934693 wrt l?\nAnswer: -12874652","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -8\/5 - d**3 + 1\/5*d**4 + 6\/5*d**2 + 4\/5*d.\nAnswer: (d - 2)**3*(d + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 493 minutes after 2:37 PM?\nAnswer: 10:50 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let -n**5 - 27*n**4 - 235*n**3 - 693*n**2 - 484*n = 0. What is n?\nAnswer: -11, -4, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-384)\/(-98))\/2 + (-1 - 1). Which is greater: h or -1?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -15 + 11. Let u = 0.11 - 0.1. Let g = 0.41 - u. Sort -2, a, g in increasing order.\nAnswer: a, -2, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*a + 8*j - 166 = 0, -106 = 77*a - 80*a - 5*j for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) be the second derivative of -2*s**3\/3 - s**2\/2 - 15*s. Let o(q) = -5*q - 1. Calculate 2*o(k) - 3*z(k).\nAnswer: 2*k + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 1596 to the power of 1\/3, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is thirty-seven fifths of a decade in years?\nAnswer: 74","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -596 + 690. Solve 87*x - d*x + 28 = 0 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:31 PM and 5:20 PM?\nAnswer: 289","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put -875, -3, 2, 3 in decreasing order.\nAnswer: 3, 2, -3, -875","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + 3*(-5 + 2*(0 + sqrt(684))**2 - (3 + (sqrt(171) + sqrt(171) + -2*sqrt(171) - sqrt(171))*2)).\nAnswer: 18*sqrt(19) + 4084","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.2355 - 0.7645. Let m be 2*(-3)\/24 - (-51)\/12. What is the fourth smallest value in m, w, 0, -2?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 49 + 41 - (8 - 2). What is the greatest common divisor of 12 and r?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = 5*c - 15. What is the remainder when 28 is divided by p(6)?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = 2*v - 3*v. Let h = v + -22. What is the units digit of 0 + (-6)\/4*h?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -899, -1872, -2843, -3812, -4779?\n\"Answer: s**2 - 976*s + 76","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 809599.8mg?\nAnswer: 0.8095998","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*t = 2*b - 50, -38 = -3*b - 2*t - 23 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 223567425 less than 0.35?\nAnswer: -223567424.65","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let -v**2\/3 + 110*v\/3 - 107 = 0. What is v?\nAnswer: 3, 107","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o = 4*h + 33 - 9, 27 = -2*o - h. Do o and -144\/11 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) be the third derivative of -11*i**6\/120 + 41*i**5\/20 - 3233*i**4\/24 - 160*i**2. What is the second derivative of w(a) wrt a?\nAnswer: -66*a + 246","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1650.\nAnswer: 2, 3, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b - 34 = -2*z, -2*b + 2*z = 2*b + 46. Let a be (-6)\/(-21) + b\/42. Factor 2\/7*o**2 + 0 + 2\/7*o**4 + a*o - 4\/7*o**3.\nAnswer: 2*o**2*(o - 1)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00000369851 rounded to 6 decimal places?\nAnswer: 0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = i**2 + i - 5. Let n be y(-4). Suppose -3*t + 4*t = 9. Calculate the least common multiple of t and (-4)\/14 + 44\/n.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = 2*a**3 + 27*a**2 + 11*a - 26. Let h be f(-13). Which is greater: h or 1\/348?\nAnswer: 1\/348","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 838 to the power of 1\/2, to the nearest integer?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -677729 divided by 481?\nAnswer: -1409","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 7 + -10. Let f be (-1)\/m - 32\/(-12). Suppose -f*w = w - 4. Let q(k) = -4*k**3 + 2*k**2 - k. Determine q(w).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from eeebbddbbbbbbdbd. Give prob of sequence bbeb.\nAnswer: 9\/260","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 75696191 to the power of 1\/2, to the nearest integer?\nAnswer: 8700","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = y**2 + y + 1. Let o(w) = -19*w**2 - 9*w - 9. Let a(m) = 18*c(m) + 2*o(m). Let s(x) = -285*x - 294*x - 284*x + 862*x. Give a(s(i)).\nAnswer: -20*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -40 + 43. Sort -10\/7, n, 1, -0.02 in decreasing order.\nAnswer: n, 1, -0.02, -10\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -67\/107, -1, -417?\nAnswer: -67\/107","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 10*c - 74 + 34. Suppose -295 = -2*z + z - c*r, 1180 = 4*z - 3*r. Is z composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 0.3, 365, 2, -14, -0.03?\nAnswer: 365","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n - 48 = 5*o + 28, -190 = -5*n + 2*o. What is the remainder when n is divided by 21?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 145\/96 and 17\/48.\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -4, -8, -44, -130, -284, -524, -868?\nAnswer: -1334","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x + 28 = 2*r, 5*r = -4*x - x + 50. Let s be 7 + 0\/(-1 - 1). Suppose -18 = -10*c + s*c. Calculate the highest common factor of r and c.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) be the second derivative of a**5\/6 - 37*a**4\/24 - 11*a**3\/3 - 17*a. Let w(l) be the second derivative of u(l). Does 10 divide w(4)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 219\/146*(-1 - (-4)\/6).\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + sqrt(8)\/sqrt(4) - (sqrt(162) + -1 + sqrt(162) + sqrt(162)))**2.\nAnswer: -104*sqrt(2) + 1356","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 49622 and 344.\nAnswer: 86","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1769\/77 + -164\/7. Let l be 15265\/22899 - (-2)\/(-3). Let t = -2358587\/228990 + l. Find the common denominator of t and n.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -2\/11, -9800.\nAnswer: -9800, -2\/11, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -119 = -3*o + 127. Let r = 81 + o. Is r a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 36950 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 10 and 95.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 109\/44022 and -149\/72?\nAnswer: 528264","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = -159*n + 8609. Determine y(54).\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -6, 7, -1\/5, 22, -11, 2\/11?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 85701 or -19?\nAnswer: 85701","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z - 3*p = -2*p + 67, -2 = -z + 4*p. Suppose 0 = 3*t + c - 66, z - 63 = -2*t + c. Let v = 25 - t. Solve -4 = v*d + 6 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/5 in 1\/2, -57, 9284, -4\/13, -4, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand 43*f**4 - 41*f**4 - 5 - 5*f**5 + 12*f**5 + (7 - 3 - 3)*(2*f**3 - 2*f**3 + 2*f**5).\nAnswer: 9*f**5 + 2*f**4 - 5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5475 - 5469 - 5432 + 16421 - l.\nAnswer: -l + 45","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = -j**3 - 4*j - 3. Let v(u) be the first derivative of -3 + u + 0*u**3 + 1\/4*u**4 + 1\/2*u**2. Calculate s(f) + 4*v(f).\nAnswer: 3*f**3 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-3902775)\/(-105) - 49) + 2\/(-7). Round i to the nearest one hundred.\nAnswer: 37100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/7? (a) -4 (b) 6 (c) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*q + 13 = 2*p, -5*q - p + 5 + 5 = 0 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = 4*n**2 + n - 3. Let g be o(-2). Calculate the greatest common divisor of g and 44.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b + 2 + 2 = 0. Let t(k) = -k - 1. Let p be t(b). Solve p = -4*h + 8 + 4 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = -40*k - 233. Calculate the remainder when h(-17) is divided by 65.\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 607 minutes before 10:19 AM?\nAnswer: 12:12 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00878448784 to 3 decimal places.\nAnswer: 0.009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 327 (b) 0.1 (c) -7 (d) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t - 55784 = -4*h, 3*t - 41346 = -3*h + 42339. List the prime factors of t.\nAnswer: 2, 13, 29, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 22.6215504us to days.\nAnswer: 0.0000000002618235","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 5390838975?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = 6*f**3 + 4*f**2 + 4*f + 2. Calculate a(-2).\nAnswer: -38","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 16 + -11. Let x = q + -9. Let u(t) = 4*t**3 + 6*t - 7. Let h(l) = -9*l**3 + l**2 - 16*l + 15. Let o(g) = 3*h(g) + 7*u(g). Calculate o(x).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ttlg when four letters picked without replacement from tgtollnr?\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Does 22 divide 1110613878?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hmmmmmmuhmhmmq. Give prob of picking 1 m and 1 q.\nAnswer: 9\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:49 PM and 2:07 AM?\nAnswer: 678","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 5303 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-45)\/18*-2*1. Solve -5*b - 3*a = 28, n*b = 3*a - 34 + 12 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*k**2 - k + 3*k - 2*k.\nAnswer: -4*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = 4*s**2. Let x(t) = 4*t + 3. Let u(m) = 7*m + 5. Suppose 0*o + 4*o - 40 = 0. Let c be (-24)\/5 - 1 - 4\/20. Let l(d) = c*u(d) + o*x(d). What is l(v(b))?\nAnswer: -8*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = -z**3 + 2*z**2 - z + 1. Let q be d(2). Let o be (-4 - -3) + -148 - q. Let m = -338 - o. What is m rounded to the nearest one hundred?\nAnswer: -200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 2, x: 2, u: 6, h: 8}. Give prob of sequence mu.\nAnswer: 2\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0319638 rounded to 2 dps?\nAnswer: -0.03","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1089 + 1786. Is v a multiple of 33?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 9\/934 and 714\/153*(-15)\/32.\nAnswer: 7472","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from uvvvvuuuuu. What is prob of sequence vu?\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21*i = 167*i - 292. Let u(m) be the first derivative of -25\/3*m**3 + 0*m**i + 41*m - 23. Differentiate u(x) wrt x.\nAnswer: -50*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 194647 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1717 + 2451. Let s = 417 - q. Let a = 2533\/8 + s. Which is bigger: a or -1\/3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.46 - -0.06. Let h = -24 - -23.81. Let n = 1.81 - h. What is the nearest to n in -5, -4\/5, z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -25 + 30. Let i be 2*16 - (5 - v). Calculate the greatest common divisor of 256 and i.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {v: 15, w: 4}. Give prob of picking 3 w and 1 v.\nAnswer: 5\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -89\/4 (b) 0 (c) -8 (d) -1 (e) 2\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1166523 (base 9) to base 5.\nAnswer: -130302111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Are -209\/230 and -0.1 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -95.9 - -95.89999174. Round n to seven decimal places.\nAnswer: -0.0000083","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (216\/(-21))\/(2\/(-161)). Let y = g - 532. What is the units digit of y?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -6898642 + 3793607. Let w = 512328593\/165 + o. Let a = w + -6\/55. Find the common denominator of -5\/8 and a.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = 6*n - 38. Let w be j(6). Let p(u) be the third derivative of -u**6\/60 - u**5\/60 + u**4\/6 + u**3\/2 - 11*u**2. Calculate p(w).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (16\/(-24))\/(1\/9). Let d(b) = -b + 2. Let u be d(f). Let j = 2 + u. What is the tens digit of j?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = -z - 9. Let j = 1455 + -1457. Determine c(j).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rssr when four letters picked without replacement from {r: 3, s: 3}.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = -m**2 - 9*m + 11. Let p be n(-10). Let f be (12\/(-14))\/(p + (-23)\/14). Let w = -0.1 - 0.1. Which is the nearest to 2\/5? (a) f (b) w (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -37 = p + 2*l, -p - 31 = -0*l - l. Let c = 47 + p. Suppose 4*w - 5*s - 104 = 0, -5*w + 3*s = -s - 130. What is the remainder when w is divided by c?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7398\/(-548)*1\/(-9)?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y + 27 = 5*y. Suppose 10 - y = a. Let o = 23 - a. List the prime factors of o.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4.042615 * 13\nAnswer: -52.553995","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*v - 12*v = 100 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) be the first derivative of -i**4\/4 + i**3\/3 - i**2 + i + 9. Give v(2).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find j, given that -4*j**4\/3 + 68*j**3 + 4008*j**2 + 172816*j\/3 + 258720 = 0.\nAnswer: -14, -11, 90","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is (-12)\/45*6*1\/4?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 993430 divided by 4?\nAnswer: 496715\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = 2*a**2 + 1 - 5 + 4. Let i(f) = -f + 9. Calculate i(p(n)).\nAnswer: -2*n**2 + 9","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 1 (b) -3 (c) -1.2 (d) 59\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 226073 is divided by 19?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 48480.\nAnswer: 2, 3, 5, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-5)\/(-2))\/((-15)\/(-24)))\/14?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6174*z + 3072*z + 2809*z + 10317 = 45477 for z.\nAnswer: -120","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -15689 * 3.2523\nAnswer: -51025.3347","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -63 + 116. List the prime factors of d.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in -5, -17\/9, -3, -6, -0.113?\nAnswer: -0.113","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 10.4427 (b) 0 (c) 0.5 (d) -5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 5966, 9527, 13088, 16649?\n\"Answer: 3561*d + 2405","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z - 3*i = -17, 31*z - 26*z + 5*i = 35. Sort z, -29, -4.\nAnswer: -29, -4, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -0.13426 and 298.\nAnswer: 297.86574","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o = 4*g + 605, 4*o + 4*g = o + 331. Does 9 divide o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9219 is divided by 1024.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 120 and 105?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = 30*u**2 - 8*u + 6. Let r be t(1). Which is the third smallest value? (a) r (b) -4 (c) 5 (d) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 101020120 (base 3) in base 6?\nAnswer: 54323","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -2 + 27. What is the highest common factor of 25 and h?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -29765*m + 29943*m = 3382. Let k(u) = u**3 - 4*u**2 - 2*u - 7. Let d be k(5). Which is smaller: d or m?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 92923 is divided by 3096.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 5134, 5163, 5192, 5221, 5250, 5279?\n\"Answer: 29*l + 5105","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 9*(-7)\/((-63)\/6)*-1\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21 = -3*f - 3*h, h - 11 = -2*f + 2*h. Suppose 3*c - f = 4*c. Let w = 12 + c. Calculate the remainder when 10 is divided by w.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c + 9 = j - 4*j, 0 = 3*c - j - 7. Sort -17, c, -4, 1 in descending order.\nAnswer: c, 1, -4, -17","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = 32 + 35 + 2*m - 86. Give a(7).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 72, 0.4518, 0.5.\nAnswer: 0.4518, 0.5, 72","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yg when two letters picked without replacement from rxnrrngrqqqrrrrryrr.\nAnswer: 1\/342","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 254, 277, 274, 233, 142, -11, -238?\nAnswer: -551","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.0376 + -0.03760137. What is v rounded to 7 decimal places?\nAnswer: -0.0000014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5497393 a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence iff when three letters picked without replacement from iiiiiffiiifiiii?\nAnswer: 12\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -246*l - 277*l - 223*l - 258*l - 260*l + 1224*l.\nAnswer: -40*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-28)\/42*(-435)\/2. Let g(c) = 2*c**3 - 2*c**2 - 3*c - 5. Let x be g(4). Let q = w - x. What is the units digit of q?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*p - 16 = -2*c - 2*c, -4*p - 13 = -c for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 138 is divided by 11.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1720194?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -630 = -2*q - 19*q. Suppose 2*l + 164 = -2*l. Let r = 57 + l. Calculate the remainder when q is divided by r.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4525 a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = q - 2. Let o(z) = 3*z - 5. Let i be (-6)\/(-12) + 6\/4. Let m(w) = i*o(w) - 5*r(w). Let f(j) = 7*j**2. Determine f(m(b)).\nAnswer: 7*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*f**2 - 30*f + 13*f + 17*f.\nAnswer: 4*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 2044 to the power of 1\/3, to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 9*2\/3 - 3. Factor 6*t**5 - 13*t**5 + 21 - 47*t**4 - 104*t**2 - 16*t - 112*t**j - 5.\nAnswer: -(t + 1)*(t + 2)**3*(7*t - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-p + 3*p + 7*p)*(2*p - 3*p + 2*p + (-2 - 1 + 0)*(-1 - p + 1)).\nAnswer: 36*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17 = -x - b + 3, 2*x + 4*b = -24. Suppose 35*a = 157*a + 1830. Which is greater: a or x?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 24519 (base 15) to base 2\nAnswer: 11100010010111011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 13 - (-132)\/(-10) - 7300\/(-250)\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 q, 1 i, and 1 x when three letters picked without replacement from {i: 2, x: 1, n: 2, m: 1, q: 1}.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -12, -86, -208, -378, -596, -862, -1176?\n\"Answer: -24*b**2 - 2*b + 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = 6*m**2 - 38*m + 9. Give q(6).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 1161 + -1?\nAnswer: 1160","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -36425 (base 12) to base 5\nAnswer: -4320211","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*p - j = -18, 29935*j = -5*p + 29936*j - 23 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -214667\/12 - -17878. Let h = -1280 - -23129\/18. What is the common denominator of h and n?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = o - 6. Let h = 18 - o. What is the units digit of (18\/15)\/(4\/h)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 150 and 6275.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.7000043 + -0.7. Round m to six decimal places.\nAnswer: 0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -11\/18958 and 69\/2.\nAnswer: 18958","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -m + 5*f + 896, 5*m - 28*f - 4549 = -26*f. Is m prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(357)\/((sqrt(63) + sqrt(7))*-6))\/(sqrt(6)\/(-4*sqrt(2)*-2)))**2*-1.\nAnswer: -17\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 784 a factor of 8653008?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) be the first derivative of -79*b**3\/3 + 8*b**2 + 3*b + 38. Find the second derivative of q(p) wrt p.\nAnswer: -158","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 6\/(-4)*(-4)\/(-24). Let z = -0.24588 - -0.23588. Which is bigger: z or t?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 5, -0.09, -4, 3?\nAnswer: -0.09","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 49, 115, 267, 511, 853, 1299, 1855, 2527?\nAnswer: 3321","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p + 2*p - 4 = -2*v, 5*p + 5*v = 25. Let g(o) = 160 - 13*o - 160 - o**p. Let s be g(-13). Solve 5*i + j + 10 = s, -3*i - 6 = -0*i + 2*j for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 84*y + 33*y = 351 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Determine g so that 108*g**5 + 99*g**4 - 384*g**3 + 9*g**2 + 276*g - 108 = 0.\nAnswer: -9\/4, -1, 2\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*x = -4*x - j + 47, 2*j = 3*x - 38. Is 6 a factor of x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 11.28 - 1.38. Let t = y + -10. Which is the closest to 2? (a) t (b) -0.4 (c) -2\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 18145824 to the nearest integer?\nAnswer: 4260","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 608*v**2 + v**4 - 2*v**3 - 9 - v**4 + 3*v**4 - 609*v**2 to the form a*v**3 + h*v**4 + i*v**2 + t*v + w and give i.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kzu when three letters picked without replacement from {u: 1, k: 5, z: 11}?\nAnswer: 11\/816","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*f - f - f)*(f**3 + f**3 + 0*f**3) + f**3 - f**4 - f**3 - f**4 - 2*f**4 + 5*f**4 + 4*f**4 - 4*f**4 + f**4 + (3*f**2 + f**2 - 3*f**2)*(1 - 1 + f**2).\nAnswer: 7*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 253 minutes after 11:56 PM?\nAnswer: 4:09 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 + 0 + (1 - 5).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b - 4*i = -6, -i = 3*b + 2*i - 3. Suppose 4*y - b*y + 2 = 0, 0 = 5*t - 2*y - 332. Does 22 divide t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -14, -40, -82, -140?\nAnswer: -214","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 552 minutes before 3:42 PM?\nAnswer: 6:30 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from keppkkepeekeeeke. Give prob of picking 3 p.\nAnswer: 1\/560","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 133\/27840 and 103\/76560.\nAnswer: 306240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 17 - -4388?\nAnswer: 43a4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = -o**3 + 478*o**2 + 24676*o - 527. Give f(525).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0422692 rounded to three decimal places?\nAnswer: -0.042","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 961262055?\nAnswer: 3, 5, 13, 397, 4139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 3*(-3)\/3 + 8. Suppose 2*c - s = m, 0 = -0*c + c + 3*m + 15. Let z(t) = -t**2 - t + 4. What is the units digit of z(c)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) be the third derivative of 7*b**5\/60 - 292*b**2. Let s(z) = 6*z**2. Give m(s(o)).\nAnswer: 252*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 7\/2? (a) -0.2 (b) -84 (c) -17\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 1518\/1515 - 3\/3. Let m = s + -18696\/5555. Calculate the common denominator of m and 11\/8.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 93 and 0.642?\nAnswer: 59.706","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -7267 + 16539. List the prime factors of l.\nAnswer: 2, 19, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -11 (base 4) to base 8\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -34*b = -73*b + 34*b + 2*v + 32, 112*b - 107*b + 3*v + 23 = 0 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 12 and 141?\nAnswer: 564","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1)\/((-10)\/2)*(-70)\/(-42).\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 120996509?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.3592 - 0.35903244. What is w rounded to 5 decimal places?\nAnswer: 0.00017","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -689 and -1.3773261337.\nAnswer: -690.3773261337","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -50 + 49.7. What is the nearest to 2 in 2\/9, x, -6?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 649 and 1788821?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-3 + 1 + 4)*(-1 - 2 - 1) - 2 - 2 + 2 + (-2 + 3 - 3)*(2 - 3 - 1))*(4*u - 6*u - 7*u).\nAnswer: 54*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k + 5*v - 10*v - 10 = 0, 5*k + 2*v - 13 = 0. Solve k = -2*c - 3*b, -5*c + 26 = -b + 30 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4371338?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0, 3\/10, -0.114942, 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(68)*-1*4)\/sqrt(4).\nAnswer: -4*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round 2128.32758 to the nearest integer.\nAnswer: 2128","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19 = -3*u - 28. Let v = u + 36. What is the units digit of v?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2 + sqrt(1100) + 5 - sqrt(1100)) + 5 + -1 + (-4 + (3 + sqrt(1100) - sqrt(1100)) - sqrt(1100)))**2.\nAnswer: -120*sqrt(11) + 1136","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 512716 is divided by 1508.\nAnswer: 1504","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -2 - -11. What is the remainder when 17 is divided by t?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zvuz when four letters picked without replacement from zvzzzzzzzzuzzzuvzu?\nAnswer: 13\/1020","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*a + 6*a. Solve -k = -a*k for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -i**5*m + 378*i**2*m**2 - i**2*m*w - 7*i*w - 42*m**2*w wrt i.\nAnswer: -20*i**3*m + 756*m**2 - 2*m*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f - 3*k + 7 = 0, -2*f - 11 + 1 = -5*k. Suppose -2*j + f = -51. Suppose -5*p + j = -p. Calculate the remainder when 13 is divided by p.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) 12\/19 (b) -5 (c) 5 (d) 2\/9\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 562188.6 microseconds?\nAnswer: 0.0001561635","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k = -7*k + 9185. Is k prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) be the third derivative of u**6\/40 - u**4\/12 + u**3\/3 + 2*u**2 + 320. Let q(f) = -23*f**3 + 17*f - 17. What is -51*n(l) - 6*q(l)?\nAnswer: -15*l**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -83, -336, -765, -1376, -2175, -3168, -4361, -5760?\nAnswer: -7371","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11 + 17 + k + 12.\nAnswer: k + 40","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = -3*v**3 + 33*v**2 + 4*v - 9. Let s be i(-5). Which is smaller: 1173 or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -126 - -14.3?\nAnswer: -111.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*c + 5*a + 4, -13 = 3*c - 9*a + 5*a. Let l be (-1)\/1 + (c - (-4 - 0)). Solve l = 3*q - 5*t - 26, 0 = 2*q - 0*q + t for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = 2*f + 10. Let y be b(-9). Let p = -4 - y. Solve p*n = n for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1227794 to the nearest integer?\nAnswer: 1108","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3575?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Divide -15361931 by 1.\nAnswer: -15361931","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 382 + -198. Let p = -15046 + 15045. Which is smaller: p or s?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:24 AM and 9:35 AM?\nAnswer: 491","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 47512713 - -4?\nAnswer: 47512717","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1934 - 1934.5. Let h = 0.3 - -1.7. Let i = 2 - h. Which is the nearest to i? (a) d (b) 0 (c) 2\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 388355561 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -8441\/15 - -563. Let q be 0\/((-18 + 12)*(-1)\/(-2)). Which is smaller: k or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -3848017, -3848002, -3847987, -3847972?\n\"Answer: 15*b - 3848032","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 213 - 210. Let d = -2\/13 + 90\/247. Which is smaller: d or b?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k + 5*h = 793874, 17*k - 16*k + h + 264638 = 0. Let s = k - -126494627\/478. Calculate the common denominator of -25\/18 and s.\nAnswer: 4302","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) be the second derivative of f**5\/60 + f**4\/12 + 2*f**3\/3 + 2*f**2 - 6*f. Let d(x) be the first derivative of q(x). Is 11 a factor of d(-6)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 301 times -8.3\nAnswer: -2498.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 239652?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = s**3 - 3*s**2 - 9*s + 4. Let v(o) = o**3 - 3*o**2 - 8*o + 4. Calculate -6*t(h) + 7*v(h).\nAnswer: h**3 - 3*h**2 - 2*h + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 643 minutes before 8:08 AM?\nAnswer: 9:25 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 2304420 a multiple of 386?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 131797947?\nAnswer: 3, 4457, 9857","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = w - 25. Let o be f(9). Let n = o + 18. Find the common denominator of 13\/12 and (-726)\/(-140) - n\/5.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = -4 - 29*f + 2 + 11*f - 2 + 3. Let x(c) = -19*c - 1. Give -4*u(r) + 5*x(r).\nAnswer: -23*r - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 365303 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 2 - 40 - (-43 + 36)\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = 12*l + 4 - 5*l**2 + 10*l**2 - 4*l**2. Let v be h(-10). Does 21 divide (-5)\/(20\/v) + 59?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 51 divide 1368993?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 10.2, 3, -2, -2\/5, -2\/3?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in x + 5*x - 2*x + 125.\nAnswer: 4*x + 125","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1682*i**2 - 5252940*i + 4047*i**2 + 5252940*i)*(-1 + 1 - 2).\nAnswer: -11458*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 45971279?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1118 - -664. Which is greater: -453 or p?\nAnswer: -453","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 less than -2\/279407?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qk when two letters picked without replacement from {e: 2, k: 3, q: 4, h: 1}.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = -h**2 + 3*h + 5. Let q be b(4). Suppose -q = v - 13. Calculate the lowest common multiple of v and 22.\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.4 in -0.141, 3, -3\/7, -0.09, -2\/13?\nAnswer: -0.09","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 k when two letters picked without replacement from {x: 4, i: 1, k: 3, q: 2}.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 54*o - 36*o - 360. Let d be (6\/o)\/(15\/150). Solve 11*h - d*h = 16 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 1\/5 of a decade?\nAnswer: 2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -8052929 to the nearest 1000000.\nAnswer: -8000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -5 + 3. Let q be j*(-2)\/5 + -2. Let z = 0.01 + 0.99. Put 1\/3, q, z in ascending order.\nAnswer: q, 1\/3, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 14135936 and 256.\nAnswer: 128","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = -20*g + 14. Let u(v) = -2. Determine l(z) + 6*u(z).\nAnswer: -20*z + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (47\/282)\/((-2)\/(-8)).\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 47546240.\nAnswer: 2, 5, 7, 10613","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0014523 rounded to five decimal places?\nAnswer: 0.00145","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-40)\/(-180) - (-8 - -5 - (-129)\/(-27)). Suppose -2*x = -4*m, -x - 2*m = -6*m. Solve x = -5*u + u + o for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2850819 to the nearest integer?\nAnswer: 142","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*s - 5*c = -48, 883*s - 880*s = -3*c + 33 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 91 - 51 = 8*m. Solve 5*t = -5*l, m + 3 = -5*l - t for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -162032 and 5.\nAnswer: -810160","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*3*sqrt(91))\/sqrt(7).\nAnswer: -3*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n + 2*v - 68 + 54 = 0, -2*n - 17 = -5*v. Solve -p = n*p - 5 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4759804*m**2 + 4759805*m**2 + 32*m**3 + 115*m - 20*m to the form u*m + f + j*m**2 + i*m**3 and give u.\nAnswer: 95","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = -s**3 - 3*s**2 - s + 4. Suppose j - t - 38 = 92, 0 = -5*t + 5. Let m = 128 - j. Determine r(m).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -121310301 - 31?\nAnswer: -121310332","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence eefe when four letters picked without replacement from {e: 8, q: 1, f: 11}?\nAnswer: 154\/4845","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*((sqrt(147) + -2 - sqrt(147))*-4)**2*4.\nAnswer: -256","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qy when two letters picked without replacement from {q: 2, y: 2, w: 1, z: 4}?\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 - (-4 - (-5 + 3))?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1.25? (a) 1 (b) -4\/3 (c) -0.1789 (d) 0 (e) -5 (f) 1.6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 16979 is divided by 4?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m = 2*y - 14, -4*y - y + 15 = 5*m. Let z be m - (0\/2 - -1). Suppose -j - 16 = -z*j. What is the units digit of j?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -6.56 and -4.\nAnswer: 26.24","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*x**3 - 5110*x**2 - 413420*x - 2297640.\nAnswer: -5*(x + 6)*(x + 82)*(x + 934)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i - 13 = 4*l, -i + 0*l + 2*l - 7 = 0. Let f = 0 + i. Let d = f - -18. What is the units digit of d?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -2 - -3. Suppose 17*i = 12*i + 4*s + 1, 0 = -i - 3*s - 15. Which is smaller: i or g?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -6*k**3*w**4 + 63*k**3*w + 309*k**3 + 104534*k*w**4 + 5*k*w + 2 wrt w.\nAnswer: -72*k**3*w**2 + 1254408*k*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y - y = 25*y - 112075. Calculate the remainder when y is divided by 33.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 33 divided by 26.\nAnswer: 33\/26","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 17\/8 + -19\/8. Let g = -0.1 + 2.1. Let v = 2.2 - g. Which is the third biggest value? (a) 4 (b) v (c) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) be the third derivative of c**5\/20 + 5*c**4\/24 + c**3\/2 + 12*c**2. What is the hundreds digit of j(6)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -1\/9701, 3, -2.659?\nAnswer: -1\/9701","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -275\/6 - -46. Which is the nearest to -2? (a) 0.1 (b) -2 (c) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = -2*p. Let j(n) = 335*n**2 + 132. What is j(l(m))?\nAnswer: 1340*m**2 + 132","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = -5*h**2 + h + 2. Give s(3).\nAnswer: -40","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mttmmkmmtmmc. Give prob of sequence cm.\nAnswer: 7\/132","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert 30 (base 6) to base 12.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is (-15307164)\/(-81) + (4\/36)\/((-1)\/3) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 59 divide 205946?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) be the second derivative of 83*d**4\/12 - d**3\/6 - 672*d. Let r(u) = 3*u**2. Calculate v(r(o)).\nAnswer: 747*o**4 - 3*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 19 in 0.5, -5, -171?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*u - 306 = 13*u for u.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = -37*f**2 - 621*f - 719. Give q(-15).\nAnswer: 271","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 186899174\/594 - -26 - 2\/27 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 38868 + -38850.951. Let z = j - 17. Let p = 0.049029 - z. What is p rounded to five decimal places?\nAnswer: 0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 0 - (1 + -1) - -22. Suppose 0 = 5*o + m - 4*m + 4, -3*o - 6 = -3*m. Let g be o\/2 - (-763)\/14. Calculate the highest common divisor of g and y.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -24*h**2 + 1276*h + 5244.\nAnswer: -4*(h - 57)*(6*h + 23)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 74993 - 221675 = -1686*l for l.\nAnswer: 87","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 4 and 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (13*l - 14*l - 63*l)*(-3*l - 3*l**2 + 3*l) + 5*l + l**2 + 3*l**3 + l - 5*l.\nAnswer: 195*l**3 + l**2 + l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = j**2 - 197*j + 1046. Calculate y(191).\nAnswer: -100","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 1256927 a multiple of 161?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*f = 697*g - 717*g - 36, -g - 4*f = 10 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = 3*p + 11. Let q(b) = -7*b - 23. Let t(h) = 6*q(h) + 13*s(h). Let m(d) = -11*d + 19. Let j(u) = -4*m(u) + 14*t(u). Determine j(9).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = -7*k**2 + 929*k - 4613. Determine y(5).\nAnswer: -143","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (1 - 16)*(-18)\/(-15). Let y be 4\/k - (-76)\/18. Factor -y*n - 3*n**2 + 4*n**2 + 6*n.\nAnswer: n*(n + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g - 2*g = 54. Let r = -30 + g. Let c be (-6)\/(-21) - r\/28. Solve -c*x = -x - 4 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 15592 is divided by 102.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 897?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 4427514, 4427520, 4427516, 4427496, 4427454?\nAnswer: 4427384","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -31, -161, -379, -685, -1079, -1561, -2131?\nAnswer: -2789","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -5883.25252 to the nearest 1000.\nAnswer: -6000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = 4*m**3 - 12*m**2 + 2*m - 1. Let i be b(3). Put -1, i, -4, 185 in descending order.\nAnswer: 185, i, -1, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 equal to 7\/81?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 805 and 5138.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1 + 1 - 2*y)*(-4 + 4 - 2*y**3) - 8*y**4 + 3*y + 13*y**4 - 25*y to p*y**4 + n + m*y**2 + h*y + t*y**3 and give h.\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -14*x + 19663 - 19831 for x.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -158 + 213.2?\nAnswer: 55.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Work out -24 * -5763.\nAnswer: 138312","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n + 210 = 2*n. Let f be (-2)\/7 + 1560\/n. Suppose -5*w + 6*w - f = 0. List the prime factors of w.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 137 minutes before 5:51 PM?\nAnswer: 3:34 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from pvvpppppttpvpttvvvpp. What is prob of sequence pvtp?\nAnswer: 6\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 428056577 to the nearest integer?\nAnswer: 20690","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c + 3*c = -8. What is the third derivative of c*s**2 + 3*s**5 - 12*s**5 + 12*s**5 wrt s?\nAnswer: 180*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = 16*m**2 + 15*m + 2. Let v be g(-2). Solve 0 = 51*n - v*n for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(6\/13))**21*(v**(-5)*v)\/(v*(v*v**3*v)\/v)*(v\/(v*v**(-2\/17)))\/(v*v\/(v**4*v)*v*v) assuming v is positive.\nAnswer: v**(400\/221)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_test"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 93389659.\nAnswer: 11, 8489969","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -73 divided by -4731772\nAnswer: 73\/4731772","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert -9794 (base 15) to base 8.\nAnswer: -76531","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 422.669 - -0.631. Let u = f - 423. Which is the nearest to 12? (a) u (b) -4 (c) 0 (d) 1\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/(((-12)\/3)\/16)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = i**2 + 55*i + 255. Let x be c(-55). Let u = x + -254. Let t = 325\/1969 - -3\/179. Are u and t nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0.4 or -0.845?\nAnswer: -0.845","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (1 + -5)\/(4\/(-8)). Suppose 2*k + 0*k = -d + x, k - d = 10. Suppose 4*g + 2*m = 20, -g = g + 5*m + k. What is the greatest common factor of 28 and g?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 139809?\nAnswer: 3, 29, 1607","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((0 + 2 - 3)*(-l - l + 3*l) - 2*l - 3*l + 3*l)*(21*l - 63*l - 58*l).\nAnswer: 300*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t*t**1*t)**40*t*t\/(t**(-3\/11)*t)*(t\/t**1*t*t*t)\/t*t assuming t is positive.\nAnswer: t**(1367\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is r in 2*r**5\/3 + 29*r**4 - 151*r**3\/3 - 245*r**2 - 679*r\/3 - 60 = 0?\nAnswer: -45, -1, -1\/2, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -880 divided by -8?\nAnswer: 110","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = -z**2 - 3*z + 4. Let h be d(-4). Let l = -15.7 - 0.3. Let r = 2.49 + -1.49. Which is the nearest to 0? (a) r (b) l (c) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 39445 and 85505?\nAnswer: 245","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*o - a - 74, 2*a + 18 + 78 = 4*o. Let b = o - -85. Is 12 a factor of b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0608001426 rounded to four decimal places?\nAnswer: 0.0608","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-30)\/150*(830\/(-6))\/((-95)\/(-285))?\nAnswer: 83","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 1548341, 3096688, 4645039, 6193394, 7741753?\n\"Answer: 2*l**2 + 1548341*l - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 1 (b) 86 (c) -2\/9 (d) 2\/5 (e) 1460\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**0\/c*c)**(1\/2)*(c\/c**(-2\/13))\/(c**(-2\/19)*c*c) assuming c is positive.\nAnswer: c**(-183\/247)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -10211 + -15?\nAnswer: -10230","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 526 minutes before 10:42 PM?\nAnswer: 1:56 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = 5*i - 6. Let a be 6\/(-2)*-1*i. Let j be (5\/(-10))\/(1\/(-2)). Solve -j = a*w + 5 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 390821 to the power of 1\/3, to the nearest integer?\nAnswer: 73","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 1 - 2)*(-2*s - s + 5*s)*(258*s - 258*s + 412*s**2).\nAnswer: -3296*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 29.2 - 2.2. Let t = w + -25. Which is the closest to 0.1? (a) 0.4 (b) t (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = w**2 + 7*w + 7. Let d be b(-6). Let o = -11 - -14. Suppose -l + 2 = -2*s - o*l, 5*s + l + 21 = 0. What is the nearest to -1 in d, s, -4?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = -5*n. Let w be s(-2). Suppose 22 = 4*q - w. What is the remainder when 21 is divided by q?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-7)\/(-2 + -5))\/(20\/(-2)).\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 4636 and 27740?\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = -r**3 + 391*r**2 + 22055*r + 239. What is i(-50)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 13157 + -7574. Is k a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 484103, 484106, 484109?\n\"Answer: 3*y + 484100","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(-17)\/v*v*v\/((v**(-1\/2)\/v)\/v*v)*v)**27 assuming v is positive.\nAnswer: v**(-729\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vvvemgt. What is prob of picking 1 g and 1 m?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is fifty-one quarters of a litre in millilitres?\nAnswer: 12750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2962495.\nAnswer: 5, 29, 20431","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*s**2 + 325*s - 22158 + 415*s - 23132 - 23160.\nAnswer: -2*(s - 185)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1 - -6. Let i be (1*t)\/(6 + -5). Suppose -i*m = -22 - 3. Calculate the highest common factor of m and 35.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 9172?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 115*u + 1577 + 801 = 1266 - 6593 for u.\nAnswer: -67","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -228*m*r**3 - 13*m*r + 2*m + r**4 + 2*r**2 wrt r.\nAnswer: -1368*m + 24*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2616\/8175*5\/(-8)?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 722?\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = c**3 - 5*c**2 - 9*c + 6. Let v be 6\/(-3) - -1*8. Let w be y(v). Let h be 1\/(-4) - 80403\/w. Round h to the nearest 1000.\nAnswer: 7000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (-35)\/(-20)*(-72)\/308 and (-875)\/30 + 4\/(-12).\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 47 - -81. Calculate the greatest common factor of 32 and n.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4*b + 14*b**2 + b + 3*b to q*b**2 + s*b + y and give q.\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert 162246.6 grams to micrograms.\nAnswer: 162246600000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5*(-4)\/(-20)*(-60)\/96.\nAnswer: -5\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1766 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 89\/487 at most as big as 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v + 445 = 2*z, 13*z = 11*z + v + 435. Solve -72*h + 71 = z for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = -8*t**2 - 73*t + 53. Let c(q) = 2*q**2 + 18*q - 13. Let o = -5 + 14. Let p(h) = o*c(h) + 2*y(h). Is p(-23) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((16065\/(-175))\/(-51))\/(2\/(-110))*-1.\nAnswer: 99","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -o**4 - 180*o**2 + 2271*o wrt o.\nAnswer: -12*o**2 - 360","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 194574869 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is -2 at least -639587\/50?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20*n + 9859 - 10119 = 0 for n.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + (sqrt(136)*5 + (sqrt(2754)*-2 - sqrt(2754)) + sqrt(2754))\/(sqrt(72)*1) + 1.\nAnswer: -4*sqrt(17)\/3 + 6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y - 5 - 1 = 0. Let u = y - -22. Round u to the nearest ten.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1613072 and 2353.\nAnswer: 181","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = -2 + 0 + 3 - g + 4. What is k(6)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 44069513 is divided by 485?\nAnswer: 473","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (290\/(-348))\/((-5)\/(-9)).\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1593 and 711.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.007045303 to 3 dps.\nAnswer: -0.007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1505 divided by 5.\nAnswer: 301","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-10 - (-14 - -21)) + 20.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 16.1 + -23. Let w = -7 - a. What is the second smallest value in 1, -3\/7, w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 81 = 6*x + 196 + 263. Which is bigger: 5 or x?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 4848, 9997, 15152, 20313, 25480, 30653?\nAnswer: 35832","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 1902722 to the power of 1\/2, to the nearest integer?\nAnswer: 1379","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 12648 and 186.\nAnswer: 186","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -1a10d (base 14) to base 5\nAnswer: -4103230","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (8\/(-12))\/(60\/45)?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -956*c + 31632 = 84 for c.\nAnswer: 33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 15079 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*d - 582 + 662 = -11*d for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 245 - 149. Let v = 134 - f. What is the second derivative of -13*i + 2*i - 38*i**2 - i**3 + v*i**2 wrt i?\nAnswer: -6*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -15658231\/177 + 88465. Find the common denominator of f and -43\/18.\nAnswer: 1062","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = 2257*h**2. Let p(k) = -3*k**2. Give p(n(b)).\nAnswer: -15282147*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -0.4, 0.7347, 0, -15\/379?\nAnswer: -15\/379","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = -c**3 - 7*c**2 - 4*c - 3. Let h be (-4 + (-5)\/10)*2. Is p(h) a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 19603249 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = -4*k - 4*k + 3*k + 9*k - 36. Let z be w(9). Is z at most 2\/113?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does -106 = 2\/9?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -106 divided by -2.\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2 - 5 - 1)*(-10824 - 54*n + 5415 + 5415)*(3 - 1 - 3) as o + d*n and give d.\nAnswer: -432","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: (5 - (36 - -1)) + 26 + -19\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 46.44115t to nanograms.\nAnswer: 46441150000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -11 + 2212?\nAnswer: 2201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.2 bigger than 12512?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h**(1\/2)*(h\/(h\/(h**(-1\/10)*h*h*h)))\/h)**(2\/35))**(2\/19) assuming h is positive.\nAnswer: h**(48\/3325)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 852462 and -0.4.\nAnswer: -340984.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = v**2 + 10*v - 15. What is w(-5)?\nAnswer: -40","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 202011 (base 3) to base 14.\nAnswer: 2ac","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1.3 + -5.3. Which is the smallest value? (a) m (b) 2\/5 (c) -1\/35\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 0 + (-1)\/(-3) + (-1)\/(-3). Let t(a) be the second derivative of 0 + 0*a**2 - 1\/3*a**4 + 2*a + r*a**3. Find the second derivative of t(q) wrt q.\nAnswer: -8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 254803 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -104*(-36)\/9984 - 459\/8.\nAnswer: -57","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -27 + 12 = 4*l - 3*i, -20 = -2*l - 4*i for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-143 - 24 - 6)*(0 + 4*h**3 + 4 + h**3).\nAnswer: -865*h**3 - 692","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 67658596?\nAnswer: 2, 3329, 5081","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = -m**2. Let x(j) = -69*j**2 + 101 + 101 - 200 + j - j. Give a(x(f)).\nAnswer: -4761*f**4 + 276*f**2 - 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = 4*v + 3. Let i(u) = u + 1. Let t(f) = -7*i(f) + 2*p(f). Let b be t(2). Let d be (-4)\/(-14) - 3\/(-63). Which is greater: d or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(84) - 1*sqrt(84)*-1)\/sqrt(7))\/(sqrt(72)\/(sqrt(12)*1*3)))**2.\nAnswer: 72","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:34 AM and 5:00 AM?\nAnswer: 266","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 1, u: 3, h: 5, m: 1, w: 2}. What is prob of picking 2 w?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 26132 is divided by 9.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2*f**3*g**3 + 25895*f**3*g**2 - 4*f*g**3 - 96*f*g**2 + 2*f + 2*g**3 wrt f.\nAnswer: -12*f*g**3 + 155370*f*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = 407*v**2. Let j(l) = -1806768*l. Calculate n(j(k)).\nAnswer: 1328615116570368*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = 14*n + 212. Suppose 6*d + 79 = -11. Let o be k(d). Solve -19 = -o*l - 5*p, 5*l - 5*p + 28 = 4*l for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3333 is divided by 138?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-2232)\/(-45) + (-2)\/10*3. Calculate the greatest common factor of 77 and i.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -960 + 668. Let g = r + 292.000003318. What is g rounded to 7 dps?\nAnswer: 0.0000033","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4 + (-7 - -9) + 0 + -3?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 150 and 22152480.\nAnswer: 110762400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (936\/(-144))\/(52\/72)?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*((4 + sqrt(704)*-2 + 3)*6 + 1*((sqrt(704) - (1 + sqrt(704))) + 2 + (sqrt(704)*2 - sqrt(704)) + 1))**2.\nAnswer: -7744*sqrt(11) + 87120","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is -151378 <= -1211023\/8?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:14 AM and 11:45 AM?\nAnswer: 631","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1030*b - 24708 = -178*b for b.\nAnswer: -29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -5095\/8 - -637. What is the nearest to -16\/5 in -5, 4, n, 2?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -5790623, -11581246, -17371869, -23162492?\nAnswer: -28953115","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 86.78769l to millilitres.\nAnswer: 86787.69","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -1\/3*z**3 - 2*z**2 + 10\/3 - z.\nAnswer: -(z - 1)*(z + 2)*(z + 5)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 594, 572, 548, 522, 494, 464?\n\"Answer: -b**2 - 19*b + 614","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 696 + -698. What is the fourth smallest value in y, 1\/5, -61\/10, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 25110398 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) -12 (b) -0.4 (c) -1 (d) 0 (e) 7\/58\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-3)\/(-3) + 4 + -13. Let s(q) = -2*q**3 - 5*q**2 + 5*q + 6. Let t(u) = u**3 - u**2 + u + 1. Let k(z) = s(z) + t(z). Is k(g) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 17 - 6*y**3 + y**3 - 19 + y to the form u*y**2 + q*y**3 + g + v*y and give v.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 82102, 164279, 246456?\nAnswer: 328633","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = f**2 + 2*f - 32. Calculate the lowest common multiple of n(14) and 40.\nAnswer: 960","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-1 - 5 + 4)*(-5*w + w + 3*w) - 9*w + 3*w + 41*w)*(-1 - 2 + 1)*((-4 - 6 + 7)*(-2 - 2*w + 2) + 0*w - w + 0*w).\nAnswer: -370*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -77 + 111. Suppose -n = -3*d + 4*w, -16*w = -d - 17*w + 23. Solve -8 = 5*j - g + 4, -d = j + 5*g for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -45*p = -58*p - 16 - 75 for p.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 97, 94, 91, 88, 85?\n\"Answer: -3*t + 100","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 35746?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 i, 1 o, and 1 z when four letters picked without replacement from inoiaioizionaia?\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 35230 or 109?\nAnswer: 35230","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does 41 divide 5 + (-8)\/(-48) + (-23485)\/(-30)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.3453279 rounded to 2 decimal places?\nAnswer: -1.35","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from fxfjfxxf. What is prob of sequence jfx?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 a when two letters picked without replacement from aaaaaaqaaaaa.\nAnswer: 5\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -284 = 5*o + 186, -4*f = -3*f - 5*o - 469 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-b - 1 - 4*b + 4*b)*(-b**3 - 2*b**3 + 2*b**3).\nAnswer: b**4 + b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 756.\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*d**3 + 13*d**2 - d**3 - 4*d**2 + 3*d**3 as v*d**3 + x + z*d + g*d**2 and give v.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 213.928 - 214. Let m = i + -0.17. What is m rounded to one decimal place?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -20, -2, 5, 10\/9, -18 in descending order.\nAnswer: 5, 10\/9, -2, -18, -20","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -4 - (-195)\/50 - 36964\/(-40). Suppose -12*j = -r - 228. Does 12 divide j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_test"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 6 - -22360460?\nAnswer: 22360466","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -693, -740, -833, -984, -1205?\nAnswer: -1508","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand -287 + 287 + 58*k + (2 - 3 - 4)*(4*k - 2*k + 2*k) + k + 6*k - 3*k.\nAnswer: 42*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14019 = 144*h - 91305 - 21210. Calculate the smallest common multiple of 63 and h.\nAnswer: 4788","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-1419)\/6*(-44)\/38. Let q = i - 274. Let j be (-440)\/32 + 14 + (-2)\/8. Is j >= q?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 15 - (27 + -7) - (-1 + -1)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1214069 (base 11) to base 13.\nAnswer: -590117","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1291774991 rounded to 2 dps?\nAnswer: 0.13","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5653 is divided by 401?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + (sqrt(833) + 5 + sqrt(833) + sqrt(833))*3.\nAnswer: 13 + 63*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = v**3 - 4*v**2 - 6*v + 1. Let a be c(5). Let f be (-10)\/a + -1 + -1. Let o = 43 - 128\/3. Which is greater: f or o?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 70 - 105. Let w = f - -177\/5. What is the third smallest value in -1, w, -0.1?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 10 - 4)*(5 - 3 - 1)*(d - 4*d - 6*d).\nAnswer: -72*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) be the second derivative of -u**3\/6 - 3*u**2\/2 - u. Let z be j(-4). Let n be 5 - 1 - (z + -23). What is the highest common divisor of 13 and n?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -128, 1, -24 in increasing order.\nAnswer: -128, -24, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 593839 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 a factor of 102?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -0.5 times 4.563\nAnswer: -2.2815","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (0 - 69\/(-21)) + -3. Let l = -1\/21 - r. Let t = 1 + -1. Which is greater: l or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:57 AM and 11:25 AM?\nAnswer: 628","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify g**(3\/26)\/g*g\/(g*g**(-43)*g)*(g\/(g**(-30)*g))\/g*g*g**(-14)*g assuming g is positive.\nAnswer: g**(1511\/26)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -63 + 66. Let i(q) = q**3 + 15*q**2 - 3*q + 202. Let d be i(-16). Let u be (-4)\/(-10) - 24\/10. What is the smallest value in y, u, d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*k + 19 = 5*z - 3*k, 5*z + 3*k = 1 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 539, 2262, 5159, 9230, 14475, 20894?\n\"Answer: 587*k**2 - 38*k - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1 - 874*u**3 - 6*u**2 - 2*u**4 + 874*u**3 to p*u**2 + t*u**4 + l + v*u**3 + h*u and give l.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + sqrt(396)*2)*-6.\nAnswer: -72*sqrt(11) + 24","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 3139 - 2215. Suppose 0 = -3*d - 423 - 456. Let o = c + d. Is o a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (8 - (-8 + 11)) + 1. Let c(o) = o**2 + 4*o - 58. Let w be c(i). What is the second smallest value in -1\/7, 1, 0.1, w?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -41 + 39 - 947*z**3 + 111*z**2 + 944*z**3 - z in the form j*z**2 + m + h*z + v*z**3 and give m.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = -g**2 - 10*g + 7. Let s(a) = 3*a - 31. Let j be s(7). What is w(j)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + sqrt(180) + -2 + (sqrt(180) - sqrt(180)*-1) + ((5*sqrt(10)*-2 - sqrt(10)) + sqrt(10))\/(sqrt(18)\/(sqrt(81) - sqrt(9))))**2.\nAnswer: -12*sqrt(5) + 29","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -a - 958b72?\nAnswer: -958b80","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 7 divided by 2837910?\nAnswer: 7\/2837910","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {v: 1, o: 2, x: 1, w: 4, n: 2}. Give prob of sequence nwo.\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = a**3 - 6*a**2 + 151*a - 1117. Calculate t(7).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange w**2 + 7*w**2 + 10*w**2 + 2*w**2 to the form v*w + b + z*w**2 and give z.\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -1948 divided by -3\nAnswer: 1948\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1848 = 42*t - 10752. What is the highest common factor of t and 855?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -1726592*y**3 + 269170*y?\nAnswer: -10359552*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 129 and 24639?\nAnswer: 129","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1917397?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2828*k + 14*k**3 - 50*k**3 + 2834*k to the form l + t*k**3 + j*k + u*k**2 and give j.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*p - 28 = -8*p for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*q + 60310 - 60310.\nAnswer: -4*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-10)\/(-14))\/(-5)*-77*(-47)\/(-47).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -31 - 1. Let k be d\/(-18) + (-12)\/(-54). Suppose k*r = 3*r - 1. What is the units digit of r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = 3*f. Let h = 6 - 4. Let r(s) = 3*s**2 - 2*s**2 - 2*s**h. Calculate w(r(l)).\nAnswer: -3*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 283550419 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7441 is divided by 2270.\nAnswer: 631","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*x - 2*d + 3*d - 56, 2*x + 5*d = -17. Let p = x + 8. Is -2 != p?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = -y**2 - y - 234. Let v be p(0). Let g be 39\/(-91) - v\/7. Suppose 6*n - g = 3*n. Calculate the lowest common multiple of 5 and n.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 14, 3, -3, 2, -37 in descending order.\nAnswer: 14, 3, 2, -3, -37","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 3299 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = -20*c + 902. Let v be b(45). Factor 2\/9*m + 8\/9 - 1\/9*m**v.\nAnswer: -(m - 4)*(m + 2)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = -2*r**3 - 5*r**2 + 4*r + 5. Let o be k(-3). Suppose p - 74 = -o. What is the tens digit of p?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -2 - (-1 + (-3 - -2)). Let j(b) = -b**3 + 7*b**2 - 6*b - 7. Let p be j(5). Suppose c*v - v = -p. Calculate the remainder when 24 is divided by v.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 64 and 13028.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 23\/1204710 and 39\/1081150.\nAnswer: 42164850","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = -y. What is v(1)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1114, -2219, -3320, -4417, -5510?\nAnswer: -6599","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -64364a0 + 11?\nAnswer: -643648c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*o + 6 = 0, -3*o = -4*f + 13 + 2 for f.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-21)\/70)\/((-79)\/((-1185)\/18))?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 104367 is divided by 2675.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 6761 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 3 - 2.77. Let q = -5.23 + t. What is the closest to 2\/7 in q, 5, 1\/4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 407 - 401. Let l(d) = 13*d + 4. Let v be l(0). Solve j*s - 7*s = -v for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21*k + 10*k + 749 + 2617 = 0. Calculate the highest common divisor of 2822 and k.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor n**3\/6 - 925*n**2\/2 + 962200*n\/3.\nAnswer: n*(n - 1415)*(n - 1360)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -1 - 4 - (-126 + 8 + -19 - (-196 + 187))\nAnswer: 123","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 0.8185271l?\nAnswer: 818.5271","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = q**3 + 4*q**2 - 5*q. Let n be d(-4). Suppose 12*y + 27*y - 1122 = -12*y. Solve 8 = 4*a + v + y, 3*a = 4*v - n for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w + 2*w = l + 17, 3*w = 4*l + 42. Is l equal to 0.03?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 25 = -5*d, 3*d + 16 = 2*a - a for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 8 - 10. Let m = -18 - -41. Is m less than or equal to d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -20760 divided by -1890\nAnswer: 692\/63","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 31\/18348360 and -151\/1834836?\nAnswer: 18348360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -801204, -801225, -801276, -801369, -801516, -801729, -802020?\nAnswer: -802401","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(-2\/3)*i)\/(i*i*i*i*i**(1\/15)) assuming i is positive.\nAnswer: i**(-56\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3 in 0.5, 0, 0.1, 3\/40?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*p + 5*w + 1 = 20, 0 = 4*w - 20 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:38 AM and 5:54 PM?\nAnswer: 376","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 3 - -14. Let d = -11 + w. Suppose -5*r + 24 = -0*r + n, -3*n = 5*r - 32. What is the greatest common factor of d and r?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*(sqrt(640) - sqrt(640)*1 - sqrt(640)))\/(-5*(sqrt(15) + 1*sqrt(15))\/sqrt(3)).\nAnswer: 4*sqrt(2)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -370 - 5?\nAnswer: -375","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0004094471578 rounded to 5 decimal places?\nAnswer: -0.00041","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((i\/(i**5\/i))\/(i*i**6))\/(i\/(i*i\/(i\/(i*i\/(i**(2\/3)\/i))))*i\/((i*i**7)\/i)))**(-19) assuming i is positive.\nAnswer: i**(95\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7895 is divided by 601.\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or 2\/4942146849?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) be the third derivative of w**6\/60 - w**5\/20 - w**4\/4 + 7*w**3\/6 - w**2 + 445. What is p(3)?\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -3*o**3 - 537492*o - 38529843 wrt o?\nAnswer: -9*o**2 - 537492","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 5241?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = b**2 - 20*b + 91. Give g(7).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put 11, 0, 4, 6, 1199 in ascending order.\nAnswer: 0, 4, 6, 11, 1199","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is a4458a (base 12) in base 15?\nAnswer: 35e237","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -15*i - 17*i - 16*i + 50*i.\nAnswer: 2*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 4 - 1*(-55)\/12 and 117\/20?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*k + 3*k - 55 = 0 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-22)\/(-12))\/(568\/3408).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 184 or 173?\nAnswer: 184","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 1518728259 to the power of 1\/3, to the nearest integer?\nAnswer: 1149","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 564 and 1310313?\nAnswer: 141","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -q + 5*p - 80, 0*p = -3*q - 4*p - 145. List the prime factors of (-4818)\/q + 4\/10.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mw when two letters picked without replacement from {m: 4, w: 10}.\nAnswer: 20\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1209 = 426*o - 11433 for o.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t - t + 85 = 0. What is the remainder when 32 is divided by t?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -108.4 and -3.\nAnswer: 325.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from qqxqxqxdqd. Give prob of picking 1 x and 3 q.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 129978 is divided by 17?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 10426\/(-936) + 6\/10. Let d = -95\/9 - q. Let s(r) = -r - 4. Let n be s(-3). Which is bigger: n or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:45 PM and 7:18 AM?\nAnswer: 693","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 42067328 divided by 21033664.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = -4*g. Suppose -5*q - 4*k + 0 = 2, -5*k = -5*q - 20. Suppose -u = -2*u - 2. Let w be u - -1 - (2 + q). Calculate f(w).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 17, 57, 125, 227, 369?\nAnswer: 557","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1454388679?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:33 AM and 10:02 AM?\nAnswer: 209","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = 2*a**2. Let w(v) be the third derivative of -29*v**4\/24 - 12*v**2. Give i(w(b)).\nAnswer: 1682*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 7 + (-15 - -5) - -6 - 0 - 5?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 5376.7 != -0.21?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -2920785761 - -0.5?\nAnswer: -2920785760.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -0.1 or 393?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -15 - -25. Suppose 3*m = -2*m + j. Let h be -1 - (-1 + 2)*-1. Sort m, -2, h in decreasing order.\nAnswer: m, h, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h = 3*v - 16, -v = 5*h + 1 + 27. Sort 2, -4, h.\nAnswer: h, -4, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0.5 (b) -697 (c) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u = 5 + 22. Let v be u\/11 + -1 + 0. What is the second smallest value in v, -2, -4?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 11 + -8 - (1 - 1)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1010 + -10001?\nAnswer: -111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = 788*z**2 + 445*z. Let t(a) = a**2. What is u(t(d))?\nAnswer: 788*d**4 + 445*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*j + j**3 + j**2 - 1 - 3*j**4 + 8*j**3 - 7*j**3 to n*j + p*j**4 + s + x*j**2 + h*j**3 and give n.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (42 + 62 - 181)*(38 - 38 - 26*y**3) + 3*y**3 + 0*y**3 - 2*y**3.\nAnswer: 2003*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = 141*a**2. Let n(c) = -8382*c. Calculate i(n(j)).\nAnswer: 9906367284*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 1\/2 (b) 0.11 (c) 0.2 (d) -0.451 (e) -0.5 (f) 140\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -481801 divided by -481801?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p = -62 - 74. Suppose 5*x = 7*x - p. Is x not equal to 16?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*k = -11*k + 2*v - 44, -5*v + 164 = 4*k. Calculate the remainder when 539 is divided by k.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (41 - (104 + -16)) + -25 + 16.\nAnswer: -56","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 3970 or 3968?\nAnswer: 3968","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 15298, 15000, 14698, 14392, 14082, 13768, 13450?\nAnswer: 13128","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5419, -2, -62 in descending order.\nAnswer: 5419, -2, -62","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = -m**2 + 2*m + 26. Let t be c(6). Find the third derivative of -16*f**6 + t*f**2 - 36*f**2 + 12*f**6 wrt f.\nAnswer: -480*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -14 + 31. What is the tens digit of c?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + 5*(-6*((sqrt(833) - (sqrt(833) - (-1*sqrt(833) + 2 + sqrt(833))))*-5 + 1))**2.\nAnswer: 14582","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -45 + 66. Suppose 5*y = 64 + n. Let c(b) = b**3 + 3*b**2 + 2. Calculate the least common multiple of y and c(-2).\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5365464 is divided by 3073?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 303 - -2026?\nAnswer: 2330","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = f**2 + 7*f + 6. Let n = 3 - 9. Let o be g(n). Suppose 0 = 2*y - o*y - 10. Solve y*b + 0 = 10 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 5*r**3\/3 - 64315*r**2\/3 - 85800*r + 257340 = 0. What is r?\nAnswer: -6, 2, 12867","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -45\/44 or -1\/3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert -a157 (base 11) to base 4.\nAnswer: -3102311","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 293, 3738, 13447, 32552, 64185?\nAnswer: 111478","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 greater than or equal to -3\/99050?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17159 - 1369 = -6*z. Suppose -2*m + 3*c = -z, -4*m + 339 + 5845 = -4*c. Let f = m + -915. Is f prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find o, given that -90801\/4*o - 123\/4*o**4 - 16173\/2*o**2 - 1\/4*o**5 - 2151\/2*o**3 - 87723\/4 = 0.\nAnswer: -57, -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -5 - -4.748. Round g to two dps.\nAnswer: -0.25","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 510*q**2 - 510*q**2 + 405 + q**3 + 152*q**4 wrt q?\nAnswer: 608*q**3 + 3*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w + 996 = 2*x, -x - 31 + 529 = -3*w. Calculate the greatest common divisor of x and 114.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 5026 and 0.02?\nAnswer: 100.52","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = i**3 + 9*i**2 + 17*i + 9. Determine k(-7).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is b - 11364?\nAnswer: -11355","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 297 and 349272?\nAnswer: 349272","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-10)\/5 - 6\/(-213)*73. Let j = r - 529\/568. What is the common denominator of j and -81\/28?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 1460135*r**2 + 30*r - 7504 wrt r?\nAnswer: 2920270","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 35 minutes before 10:02 PM?\nAnswer: 9:27 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-12)\/10)\/3)\/((-4)\/20).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.2 less than 1828951.761?\nAnswer: 1828951.961","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express -3541*s + 1181*s + 3766*s**2 + 2404*s**2 + 1 + 1176*s + 1181*s in the form a + v*s**2 + m*s and give a.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 31835.13 days in milliseconds?\nAnswer: 2750555232000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 76*h = 90*h - 6660122. Suppose 36*t - h + 51967 = 0. Is t prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 11 + -10?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 27041, 27203, 27473, 27851?\nAnswer: 28337","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(847) - ((sqrt(847) - ((-5*sqrt(847))**2 + sqrt(847))) + -3).\nAnswer: 11*sqrt(7) + 21178","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 700?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 386 minutes after 11:51 AM?\nAnswer: 6:17 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = 72*d**2. Let x(w) = -58*w. Give x(k(f)).\nAnswer: -4176*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort 61, 4, 0.1 in decreasing order.\nAnswer: 61, 4, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c + c = 0. Suppose o - 1 + 3 = c. Let p = 0.11 + 4.89. What is the third smallest value in p, o, 2?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is three eighths of a litre in millilitres?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 7*((-528)\/(-189) - (-6)\/(-27)). What is the highest common factor of 45 and c?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 76873046 to the power of 1\/2, to the nearest integer?\nAnswer: 8768","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000639661 rounded to 5 decimal places?\nAnswer: 0.00064","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2736, 5567, 8306, 10953, 13508, 15971, 18342?\nAnswer: 20621","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 10308 and 12885.\nAnswer: 51540","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*h**2\/5 + 14640*h + 133956000 = 0. What is h?\nAnswer: -18300","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 57*s - 109*s + 67*s + 30 = 0 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 119161753.\nAnswer: 229, 520357","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -1\/4 (b) 6\/11 (c) -0.6 (d) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.2*7088.\nAnswer: -1417.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 50 and 40?\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = -2*c**3 - 3*c - 3. Let n be u(-1). What is the second derivative of 6 + 17*j + 1 - 10*j**n - 7 wrt j?\nAnswer: -20","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) be the first derivative of 2*o - 24 + 1\/3*o**3 + 0*o**4 - 20*o**2 + 6*o**5. Find the second derivative of n(d) wrt d.\nAnswer: 360*d**2 + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 248?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) be the first derivative of -z**2 + 32*z - 16. Let u be t(-17). What is the greatest common divisor of u and 99?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00006231964618 rounded to six dps?\nAnswer: 0.000062","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:59 PM and 8:57 PM?\nAnswer: 298","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -45*g**4 - 6*g**3 - 977*g**2 wrt g.\nAnswer: -1080*g - 36","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-1 + (-22)\/(-4))*2. Find the first derivative of s*z**4 + 3 + 7 - 13 - 1 wrt z.\nAnswer: 36*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5570*f**2 - 5570*f**2 + 17*f**3 - 1 + 7*f**3 - 6*f**3.\nAnswer: 18*f**3 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*h + g + 15 = -g, 155*h - 3*g = -47*h + 995 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 2, z: 4, a: 1, c: 3, b: 2, i: 3}. What is prob of picking 1 i and 1 a?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-96)\/(-120))\/((-4)\/(-20)). Solve 5*k = y - 7, 1 = x*y + 13 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -21 divided by -12?\nAnswer: 7\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -9, -5, -4, 1, -8 in decreasing order.\nAnswer: 1, -2, -4, -5, -8, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 257 a factor of 2999190?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Divide 141622 by -6.\nAnswer: -70811\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 381 - 381.2. Let v = -0.26 + 0.16. Which is the nearest to 1\/2? (a) g (b) v (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = 7*z**2 - 2*z + 6. Let q(n) = 12*n**2 + 11*n**2 + 5 + 0*n - 2*n - 17*n**2. Let w(g) = -g**2 + 6*g - 3. Let y be w(4). Calculate y*i(c) - 6*q(c).\nAnswer: -c**2 + 2*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = -m**3 + 5*m**2 + 6*m + 4. Let g be q(6). Let o be ((-30)\/6 + (-1 - -8))\/2. Let k = o + g. Solve 2*x + 7 = -3*p - 8, x - k = p for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 7\/4 of a hour?\nAnswer: 6300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -2.722 and 0.639?\nAnswer: -1.739358","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand -t**5 + t**5 + 2*t**5 + (2*t**2 + 1 - 1)*(-2*t**3 - t**3 + t**3) + 0*t**5 - 3*t**5 + 2*t**5 + 2*t**5 - 2*t**5 + t**5.\nAnswer: -2*t**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v - 1016 = -3*q - 92, 4*v + 5*q = 1846. Let y = -453 + v. Solve -a - y + 0 = 5*j, 4*j + 4*a - 8 = 0 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*s + 10*y = 8*y - 10, 3*y = -2*s + 5 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 665879?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -961\/55 + 190\/11. Sort 3\/4, i, 2 in decreasing order.\nAnswer: 2, 3\/4, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -18*a**3*t - 2146969*a**3 + 18611*a**2 - 1771*t wrt a?\nAnswer: -108*t - 12881814","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-5)\/50*225\/60.\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**17*i)\/i*i*i**(3\/8) assuming i is positive.\nAnswer: i**(147\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 369503 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 268899.\nAnswer: 3, 89633","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 10310122 to the power of 1\/3, to the nearest integer?\nAnswer: 218","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = g + 4*x - 73 - 181, 5*x + 299 = g. What is the hundreds digit of g?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*y - y + 4*j - 30, y - 7 = -j. Suppose 3*o - 264 = o - 4*i, -3*i = -y*o + 264. Calculate the highest common divisor of o and 12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 743 - 120. Let b = y + -115. Suppose 0 = 5*r - 9*r + b. Is r composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 274583 to the power of 1\/3, to the nearest integer?\nAnswer: 65","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*h + 5 = w - h, -4*w + 3*h = -19. Suppose 4*z - 306 = -k - w*k, z + 112 = 2*k. Calculate the greatest common divisor of 232 and k.\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 545818*q**2 + q**3 - 545818*q**2.\nAnswer: q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -77 + g**2 + 190 - 5*g + 83 + 5*g to p*g + w + c*g**2 and give w.\nAnswer: 196","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2177730924?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = -24*g**2 - 2*g + 2. Let r(q) = -48*q**2 - 5*q + 5. What is 5*p(m) - 2*r(m)?\nAnswer: -24*m**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = 2*a**2 + 7*a - 4227. What is the smallest common multiple of 1242 and n(45)?\nAnswer: 1242","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 2, p: 2, m: 1, l: 1, b: 1, u: 1}. Give prob of sequence ul.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express -2 + r**2 + 5 - 8*r**3 - 2 in the form d*r**3 + g*r + j*r**2 + h and give d.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = -2*r + 4*r**3 + 2*r**2 - 3*r**3 + r. Let q be k(-2). Let b = 5 - q. Solve 0 = a - 0 + b for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 120 a factor of (1320\/99)\/((-2)\/(-1395))*4\/10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 20\/(-8)*24\/(-15). Let a(g) = g**3 - 2*g**2 - 3*g + 4. Let n be a(3). Solve -q - n = q - 2*h, c*q + 2 = 2*h for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9.765846 decades in millennia?\nAnswer: 0.09765846","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -224*i**3*q**2*u + 2*i**3*u - 773*i**3 + 4*i**2*q**2 - 16*i*q - 67*u wrt u?\nAnswer: -224*i**3*q**2 + 2*i**3 - 67","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = -19 - 22 + 28 - m. Let f be a(-15). Solve 4*j - 24 = 2*r, f*r + r + 4*j - 14 = 0 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2 - -3)*1\/((-36)\/8).\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is -729 less than -655?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from muswurs. Give prob of picking 1 w and 1 u.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -8 - -9. Suppose 7 = 2*f + p. Solve 2*k + f*i + 7 = 2, -10 = 5*k + 5*i for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 1\/(-2)*(-1 + 1). Suppose 1 = -3*l + 13. Suppose l*a - 2*y = 66, 0 = -5*a + 4*y - 31 + 118. Solve -2*g + 2*j = -t*g + 10, -4*g - 3*j = -a for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = -9*l**2. Let o(u) = -104*u - 48. Determine o(w(a)).\nAnswer: 936*a**2 - 48","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 40814 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = o**2 + o - 1. Let j(b) = 5*b**2 - 5*b - 10. Let f(h) = -j(h) + 4*w(h). Calculate the remainder when 17 is divided by f(9).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -20 - -25. Let a(g) = z*g**3 + g**2 - 4 - 25*g - 4*g**3 + 41*g. Let w be a(-17). Round w to the nearest 1000.\nAnswer: -5000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -2.5, 0, -2, -4?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3742549173?\nAnswer: 3, 11, 37803527","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-49)\/(-343) - (-2)\/(-14). Which is greater: 12\/37 or b?\nAnswer: 12\/37","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = -3*f + 14. Let k be c(6). Let j be -1 - (343\/98 + (-5 - -1)). Put -1, k, j in increasing order.\nAnswer: k, -1, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 240.986 and -649685978?\nAnswer: 649686218.986","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = 2*u**2 - 3*u**2 - 3 + 0*u**2 + 4 - u. Let j be b(0). Let s(d) = 3 + 2 - j - 2*d - 5. Give s(2).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -z**2 - 191*z + 192.\nAnswer: -(z - 1)*(z + 192)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 172146 and 702?\nAnswer: 1549314","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express 46536 - 2*m + 5*m - 46679 + 0*m in the form s*m + n and give s.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:59 AM and 5:53 PM?\nAnswer: 714","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q - 12 = -5*q. Let n(g) = -3*g - 2*g - q*g - g**2. List the prime factors of n(-7).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -27, -47, -59, -57, -35, 13, 93?\nAnswer: 211","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 59, 0.3, -0.5 in ascending order.\nAnswer: -0.5, 0.3, 59","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -37668, -151335, -340780, -606003, -947004, -1363783, -1856340?\n\"Answer: -37889*i**2 + 221","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = -k**3 - 6*k**2 + 6*k + 2. Let w be u(-7). Let j(g) = g**2 - 10*g + 14. Let i be j(w). Solve 0 = -4*p + 5*o + 5, -3*o - 16 = -2*p - i*o for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ukk when three letters picked without replacement from uuvkkvkhhhhhv.\nAnswer: 1\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 3.3 + 1. Let i = c + -4. Sort 4, 0.4, i in ascending order.\nAnswer: i, 0.4, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -140, 4, -18, 5 in descending order.\nAnswer: 5, 4, -18, -140","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is -339102\/473 greater than -717?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 92039, 184078, 276111, 368138?\nAnswer: 460159","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 7979 + -7941. Calculate the remainder when 1054 is divided by y.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 61 - 34. Let f = x + -87. Let b = f + 96. Is 18 a factor of b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2.95 + 9.2019.\nAnswer: 6.2519","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.2589443 rounded to three decimal places?\nAnswer: -0.259","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = k**3 + 7*k**2 + 26*k + 2. Let i(a) = -a**3 - 3*a**2 - 13*a - 1. What is 7*i(z) + 3*o(z)?\nAnswer: -4*z**3 - 13*z - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 133 + 1383*f - 2797*f + 1392*f.\nAnswer: -22*f + 133","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (-2)\/56*4608\/(-320) and ((-1498)\/(-280))\/(1\/(-2)).\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5815084 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: Is 2016063 < -32?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((6*(sqrt(204) - sqrt(204)*-4) + sqrt(204) - sqrt(204))\/(4*sqrt(300)))**2 - ((sqrt(612) + 4 + -3 + sqrt(612))**2 - (1 + sqrt(612) + 2)).\nAnswer: -9631\/4 - 18*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2 + sqrt(7) + -4)*-3 - (sqrt(1008) + -1)*-4)**2.\nAnswer: 1260*sqrt(7) + 14371","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) be the third derivative of 0*h**7 + 0*h + 0*h**6 + 0*h**3 + 0 + 5*h**2 + 1\/60*h**5 + 0*h**4 - 1\/84*h**8. What is the third derivative of f(l) wrt l?\nAnswer: -240*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 12291500?\nAnswer: 2, 5, 13, 31, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5*o + 3*o**4 + 32*o**3 - 31*o**3 + 4*o + 3 + 3*o**2 to a*o**4 + r + f*o**2 + p*o + t*o**3 and give r.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -670 + 711. Let i(b) = b + 2. What is the remainder when q is divided by i(5)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p = 7 + 25. Let c(b) = b**3 + 9*b**2 + 9*b - 7. Let a be c(p). Let l = -12 - a. Is l less than 7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-51 - -2)*20\/(-70). Solve -l = -5*t - 4 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2598555 times -4\nAnswer: -10394220","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*((sqrt(19) - sqrt(57)\/sqrt(3)*-4) + (sqrt(19) + 1)**2*-6).\nAnswer: -600 - 35*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1041870?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange d + 2 + 5*d**2 - 7*d**2 + 6*d**2 - 3*d**2 + 50*d**3 - 76*d**3 to the form s*d**3 + t + n*d + l*d**2 and give t.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -811 divided by -6.\nAnswer: 811\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1335 is divided by 1269.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*f + 15*f + 375 = -y, 14*f + 3*y = -0*f + 6*y - 597 for f.\nAnswer: -42","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0.1 or -140\/9?\nAnswer: -140\/9","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 3141*r**4 - 5150 with respect to r.\nAnswer: 12564*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (16\/10)\/((-2)\/(-15)). Suppose 5*l + r - 34 = 0, 2 - k = l - 4*r. Solve -j + s - 18 = l*s, 0 = -2*j - 5*s - 16 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 660829128*f - 790533276 wrt f.\nAnswer: 660829128","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -2*d**4 + 227999*d + 72045 wrt d?\nAnswer: -8*d**3 + 227999","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -914 (base 16) in base 15?\nAnswer: -a4e","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o - k = 31, 5*k - 31 = -6. Let p = o + 15. Suppose 0 = 4*x - 2*c - 86 - 0, p*x + c - 52 = 0. What are the prime factors of x?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = 81*u - 53. Give i(1).\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((1 - 2 - 4)*(0 - h + 0) - 3*h + 3*h + 2*h)*(-3 + 0 + 1).\nAnswer: -14*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 142100?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -37\/390784 and 91\/4300.\nAnswer: 9769600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4551 is divided by 506?\nAnswer: 503","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v - 4*w - 2448 = -0*w, -5*w + 4922 = 2*v. Is (v\/24)\/((-1)\/(-3)) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1021, -1019, -1017, -1015?\nAnswer: -1013","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) be the first derivative of -64*g**5\/5 - 8*g**2 + g - 59. Find the second derivative of u(z) wrt z.\nAnswer: -768*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 85.95063 centuries in millennia?\nAnswer: 8.595063","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*l - 106137*y + 43 = -106142*y, -4*l + 41 = -y for l.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 168*c**3*z**2 + 23*c**3*z - 8*c**3 + 12*c**2*z**2 + 11*c**2*z - 2*c*z**2 wrt z?\nAnswer: 336*c**3 + 24*c**2 - 4*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 8\/203200875 and -29\/11.\nAnswer: 2235209625","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + ((-4*sqrt(208)*4)**2 + sqrt(208) - sqrt(208)) + -3 + (-4 + 5*sqrt(208))**2.\nAnswer: -160*sqrt(13) + 58458","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1179?\nAnswer: 3, 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -3647 + 6221. Does 8 divide (-4)\/(-18) - o\/(-81)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g - q - 914 = 0, -40*g + 5*q = -39*g - 300. Let y = -300 + g. Solve 12 = l - y*l for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -27 - (-34 + (-7209)\/(-1026)).\nAnswer: -1\/38","meta":{"dup_signals":{},"source":"arithmetic__mixed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -16 = 4*d, 0 = 9*t - 4*t - 5*d - 70. Suppose -4*n + 21 = -3*w + 2*w, 2*w - t = -5*n. Solve -n*v = v for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 8\/(-48) - ((-2332)\/(-3864) + (-12)\/14)\nAnswer: 2\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.004? (a) 0.4 (b) -1.08 (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6 + (-30 - (23 + -7 + -28)).\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 177749*o + 346990 with respect to o.\nAnswer: 177749","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.3, 7, 0.03, -2\/3, -0.4 in decreasing order.\nAnswer: 7, 0.3, 0.03, -0.4, -2\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3096806 to the nearest integer?\nAnswer: 1760","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 0 - 1243134?\nAnswer: -1243134","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 254*s = 269*s - 150 for s.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.03? (a) 5 (b) -63 (c) 10\/7 (d) 2 (e) -3\/5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {v: 9, a: 10}. Give prob of picking 3 a.\nAnswer: 40\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v - 105 = -31. Let k = 1202 + v. Is k a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -166156 - -243627. Is a a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 80*h + 1142 = 3222 for h.\nAnswer: 26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = -240*x**2. Let o(k) = -62*k. Give z(o(g)).\nAnswer: -922560*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*b - 16 = 2*b. Suppose -o - 189*i = -185*i + 22, -5*i - 3 = 3*o. Calculate the remainder when b*13 + 4\/4 is divided by o.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 d and 1 z when two letters picked without replacement from czdvm?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -13 + 7. Let f = -11\/2 - n. Let r = -4\/71 - -95\/426. Put 1, f, r in descending order.\nAnswer: 1, f, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = -j + 8*j + 0*j. Let s(l) = -6*l**2 + 8. Let y(m) = -10*m**2 + 14. Let g(p) = -7*s(p) + 4*y(p). What is u(g(i))?\nAnswer: 14*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 130 divided by -41501.\nAnswer: -130\/41501","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort 19, -11, -2\/7, -4 in increasing order.\nAnswer: -11, -4, -2\/7, 19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 times -6261255?\nAnswer: -31306275","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.3502698 rounded to 3 decimal places?\nAnswer: -0.35","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = 10*t + 4 - 11*t + 17 - 4. Let n be d(13). Let f = 5 - 3. Put f, -3, n in ascending order.\nAnswer: -3, f, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2432 a multiple of 32?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -202*s = 784 - 5228. Solve 2*v - s = 4*x, -2*x = -3*v + 28 - 11 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 30 and 21144?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -213+1292127\nAnswer: 1291914","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n**3 - 2631*n**2 - 530985*n + 20495475 = 0. Calculate n.\nAnswer: -455, 33","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (1 + 1)\/((-10)\/(-20)). Suppose -20 = -i*f - 4*r - 0, -3*f = -4*r - 50. Let h be 5\/(25\/f) + 2. Which is smaller: 5 or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 2 + 113?\nAnswer: 115","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*j + 0 + 0)*(2*j - 2*j - 1 + 3*j**2).\nAnswer: 6*j**3 - 2*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 66204 and 645489?\nAnswer: 2581956","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*o - 3*o + 1353*c - 21 = 1348*c, 23 = 3*o + 5*c for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o\/(o\/o**(-19)*o)*o**5)\/(o**(-1\/8)*o*o**(-4\/9)))**(-50) assuming o is positive.\nAnswer: o**(27775\/36)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = o - 5. Let y be (-4)\/22 - (-136)\/22. Let h be s(y). Is 7*(36\/21)\/h a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 18306884?\nAnswer: 2, 4576721","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is (3 + -11)\/(-2)*1\/14?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2204945 to the nearest integer?\nAnswer: 130","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.45, 1\/11, -81, -3 in decreasing order.\nAnswer: 1\/11, -0.45, -3, -81","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1153440 (base 9) to base 14.\nAnswer: 124110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = -y**3 + 14*y**2 - 19. Let d be j(13). Suppose 33*z = 38*z - d. What is the remainder when 178 is divided by z?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -65 + 0 + (-3 - -4). Let s = u - -26. Let t = -25 - s. Does 11 divide t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -7897.86, 5, 21?\nAnswer: 21","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 - d + 4*d + 3*d - 2*d.\nAnswer: 4*d + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let -q**2\/4 - 69618715*q\/2 - 4846765478251225\/4 = 0. What is q?\nAnswer: -69618715","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 27*z - 106 = 2. Put z, -39, 5 in descending order.\nAnswer: 5, z, -39","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does -1 = -79396370?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -31*d + 883 - 442 - 445.\nAnswer: -31*d - 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 6164 and 32?\nAnswer: 49312","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*k - 144 - 38 = 0. Let w = 60 + k. What is the units digit of w?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -367 + 391. What is the remainder when 621 is divided by p?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 185 divided by 2936\nAnswer: 185\/2936","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from gggggg. What is prob of sequence ggg?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((i*i**(2\/45))\/(i\/(i*i*i**(1\/4)*i)))**(-32))**(-12))**(5\/8) assuming i is positive.\nAnswer: i**(2372\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c - 2*c + g - 221 = 0, -5*c = -5*g - 575. Let x = c - -91. Is 18 a factor of x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*p + 9*p = 18 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 398?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*((-5*(sqrt(252) - (sqrt(252) - 3*sqrt(252))) - sqrt(252)) + sqrt(252) + sqrt(252))\/((3*sqrt(108)*6)\/sqrt(12)).\nAnswer: 28*sqrt(7)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 584 + -583.97832. Round q to 3 decimal places.\nAnswer: 0.022","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + -1*(2 + sqrt(19))*5)**2 - (-1*(sqrt(304) + 2 - sqrt(304)) + 2)**2.\nAnswer: 90*sqrt(19) + 556","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) be the third derivative of 0*i**4 + 1\/189*i**7 - 11\/270*i**6 + 4\/135*i**5 + 0*i**3 + 0 + 0*i - 32*i**2. Find z, given that x(z) = 0.\nAnswer: 0, 2\/5, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4 + (-8 - -18) - (-1 - -3)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = 55*a**3 + 2*a - 1. List the prime factors of w(1).\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 419 is divided by 113?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*d**4*m - 145*d**3*m - 21*d**3 - 22*d*m - 408*d - m - 2 wrt d?\nAnswer: 24*d**2*m - 870*d*m - 126*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 3040827365 to the nearest integer?\nAnswer: 1449","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2723771, -2723764, -2723757?\nAnswer: -2723750","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 10? (a) 0.2 (b) 1 (c) -0.3 (d) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1024 and 10624?\nAnswer: 128","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -49, -2\/5, 20383?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 181 minutes before 10:44 AM?\nAnswer: 7:43 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 4351 - 187083\/43. Which is smaller: j or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = 36*z**2. Let r(v) = -v**2 - v. Let f(t) be the second derivative of 0*t**2 + 0 + 1\/3*t**4 + t**3 + 20*t. Let x(u) = f(u) + 6*r(u). What is j(x(k))?\nAnswer: 144*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -34.43 + 35. Let k = 0.33 - r. Sort 5, k, 3.\nAnswer: k, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor d**2 + 227435804*d + 12931761235281604.\nAnswer: (d + 113717902)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t**2 + 877455*t - 877460 = 0. What is t?\nAnswer: -175492, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -10 - de?\nAnswer: -ee","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 22112, 28071, 37996, 51881, 69720, 91507?\n\"Answer: -k**3 + 1989*k**2 - k + 20125","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -139687672*f*m**3 - f*m**2 + 7*f*m + 108*f + 2*m**2 + m - 21 wrt m.\nAnswer: -838126032*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 7*-280195\nAnswer: -1961365","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = 9451*u**2 - 33*u + 1920. Let n(d) = 28353*d**2 - 88*d + 5763. Let k(j) = 8*h(j) - 3*n(j). What is the first derivative of k(c) wrt c?\nAnswer: -18902*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 406*i + 51 = 403*i + 3*x + 15, 5*i + 4 + 42 = 3*x for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 14 + -6. Suppose -3*c - 5*b + 6 = 0, 5*c - 3*b - 10 = -v*b. Solve 4*j + 8 = 0, -5 = -c*q + 5*j + 1 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) be the first derivative of -303*m**4\/4 - 9*m**2\/2 + 8*m + 2. Let g be t(-7). Round g to the nearest 10000.\nAnswer: 100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = -7*w - 9. Let p(r) be the second derivative of r**3 + 4*r**2 - 4*r. Let u(t) = -6*p(t) - 5*v(t). Let b be (2\/3)\/(2\/(-6)). Give u(b).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 0.03, -0.4, -1, 35265, 5?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 4133525005 to the nearest integer?\nAnswer: 1605","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = -4*p - p**2 + 7 - 8*p**2 + 6*p**2 - 2*p**2. Let h(y) = -5*y**2 - 5*y + 8. Let o(m) = -4*h(m) + 5*l(m). Find the first derivative of o(x) wrt x.\nAnswer: -10*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 17528 to the nearest integer?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 2\/6 - (-276)\/36. Let i = 10 - q. Does 3 divide 64\/(-12)*(-3)\/i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 877*v + 58*v + 95493 - 21974 = -1052*v for v.\nAnswer: -37","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 61 + -61. Find w, given that -1\/6*w**2 + 0*w + 0 + 8\/3*w**4 + f*w**3 = 0.\nAnswer: -1\/4, 0, 1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 2 + 0*o**3 + o**3 + 45*o - 47*o in the form x*o + q*o**2 + i + l*o**3 and give l.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-31)\/93 - (0 + 2\/(-6)). Let j = 9 - -1. Suppose 0 + j = 2*g. Solve y = f - g*f for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (756\/(-546))\/((-312)\/2704)?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (8\/(-70))\/(6\/15). Let w = 37.07 + -36. Let b = -0.13 - w. Which is greater: o or b?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 515.85 rounded to the nearest one hundred?\nAnswer: 500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000336784 rounded to 6 decimal places?\nAnswer: 0.000034","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 22 + -24. Let i be (-13 + 4)\/3*s. Let f be -2 + i - 3 - 7. Let q(y) = -3*y - 3. Determine q(f).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zzzz when four letters picked without replacement from {z: 7}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1)\/(-5) - (-98)\/35?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 327 minutes after 4:34 PM?\nAnswer: 10:01 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2 - (-2 + 4\/30)) + 4316\/19920?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1297064159 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0 + 2\/7*z**2 + 0*z.\nAnswer: 2*z**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 37, 100, 205, 352?\n\"Answer: 21*j**2 + 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 9*l - 24*l - 1260. Let s be (l\/(-9))\/((-110)\/45) - 0. Which is smaller: s or -3?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 6 - -13. What is the remainder when q is divided by 5?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -1b - -194?\nAnswer: 176","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 47 + -52. What is the smallest value in -2, v, 1, -3?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 13 - 10. Suppose -18 = -3*k - p*k. Let z be 2\/(1*-4)*2. What is the closest to -1\/2 in z, 0.06, k?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -11543 times 0.05?\nAnswer: -577.15","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = 33*j. Let d(g) = -3*g + 1277 - 1277. Give d(f(t)).\nAnswer: -99*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 49058?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2100503 - 2465242 + 701505 + 111880*p - 2280909 + 33281*p - 1143*p**2 + 3*p**3 = 0. What is p?\nAnswer: 127","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 6 - 8?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k\/k**1)\/k)**(-7)\/(((k\/k**6)\/k)\/(k**(-1)\/k*k)) assuming k is positive.\nAnswer: k**12","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round 13977410.07 to the nearest 1000000.\nAnswer: 14000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -9\/5 in -0.07, -12, -14, 4, 8?\nAnswer: -0.07","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = r + 2. Let o be a(-2). Let c be (-1)\/(-2) + 4\/(8\/(-11)). Put -6, c, o in descending order.\nAnswer: o, c, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = b**3 - 28*b**2 - 27*b - 52. Let j be z(29). Suppose 5*h - 28 = -d, -j*d = -d - 3*h. Is 13 a factor of 1*(165 - (-1 - -13)\/d)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -297*j + 10 = -295*j. Solve -3*i = h - j*h - 14, -2*h = -4*i + 12 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = 2*d - 2. Let o be t(3). Let m be 34\/o + 1\/2. Suppose -7*n + 72 = -3*n. What is the greatest common divisor of m and n?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 37\/2 of a kilometer?\nAnswer: 18500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide -86667750 by 9629750.\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = 2*r**2 + 6 - 1 - 2 + 4 - 5*r. Suppose 4*b - 5*y + 14 = 0, 0 = b - 4*b + y - 16. Let o(c) = -c**2 + 2*c - 3. Calculate b*h(s) - 14*o(s).\nAnswer: 2*s**2 + 2*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 144545 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y - k = 1348 + 734, 4*y + k - 2086 = 0. Suppose -i + 188 = -5*s, 52 - y = -3*i - 4*s. Is i + ((-7)\/(21\/6) - -3) a multiple of 33?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = -b + 253. Let k be x(0). Let c be -1613 + (1 + -8 - 1). Let w = k - c. Is w a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (8*m - 4*m - 8*m)*(2 - 2 + 2)*(-734 + 541 + 861).\nAnswer: -5344*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 3020123130 (base 4) to base 11\nAnswer: 510884","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 29 divided by 14385?\nAnswer: 29\/14385","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 12822 + 13058. Suppose -90096 - r = 8*w. Let j = -5297 - w. Round j to the nearest 1000.\nAnswer: 9000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5 - 366*m - 345*m - 2 + 4.\nAnswer: -711*m - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor -l**4\/4 - 9*l**3\/4 + 11*l**2\/4 + 9*l\/4 - 5\/2.\nAnswer: -(l - 1)**2*(l + 1)*(l + 10)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (36*q**3 - 21 + 21)*(-q + 4*q - q).\nAnswer: 72*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**0)**(-4) assuming t is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -41 = 76*a + 35 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 3, q: 7, j: 1, s: 2, y: 1, e: 4}. Give prob of picking 2 r.\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:49 AM and 11:55 AM?\nAnswer: 186","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = 3*p**3 - 10*p**2 + 4. Let l(q) = 2*q**3 - 9*q**2 - q + 3. Let a(u) = -4*l(u) + 3*w(u). Give a(-5).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(-5)\/t*t*t**(-3\/5)*t)\/t**(38\/3)*(t*t**(-3\/4)*t*(((t**(-3)\/t)\/t)\/t)\/t)**(-6) assuming t is positive.\nAnswer: t**(517\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*a + 3*a = -48. Let l(f) = -f**2 - 16*f + 7. Let n be l(a). Let z = n + -5. Solve -b - 2*h = z, h = 3*b - 2*h - 3 for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 h and 1 g when two letters picked without replacement from krmgmghxkhxhmm?\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/13, 21, -35, -2.\nAnswer: -35, -2, -2\/13, 21","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -11.229 + 11.379. Sort -1\/2, 11, m, 0 in descending order.\nAnswer: 11, m, 0, -1\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b = 4*p - 4, 16 + 4 = -5*b. Solve 6 = -f + p*f for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 divided by 4408688.\nAnswer: -5\/4408688","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q**(-1\/8)*q\/(q\/(q\/q**14)))\/(q**9\/(q\/(q**(2\/5)\/q))))**(2\/5) assuming q is positive.\nAnswer: q**(-821\/100)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = -23*u**2. Let w(a) = 7076*a. Determine w(p(r)).\nAnswer: -162748*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = i**2 + i + 2. Let c be w(-3). Let g be (c\/(-20))\/((-34)\/(-10)). Sort g, -3, -3\/7 in decreasing order.\nAnswer: g, -3\/7, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -234 - 2445250?\nAnswer: -2445524","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: (-1)\/(-2)*(-8)\/(-18)\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 22074558 to the power of 1\/3, to the nearest integer?\nAnswer: 281","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = i. Let r(w) = 25*w - 2. Calculate -5*f(z) + r(z).\nAnswer: 20*z - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 4 - -23240202?\nAnswer: 23240211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -5955322233 + 5955322310.99999957. Let h = -261 - -183. Let g = h + n. Round g to 7 decimal places.\nAnswer: -0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 2 + 2. Let o be 1\/((-15)\/(-10))*24. Suppose c*w = o + 4. Solve -n + 16 = -w*n for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -39 + 40 - (0 + 4)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 309 minutes before 12:36 PM?\nAnswer: 7:27 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-91)\/(-49)*(-21)\/(-3). Solve 5*w - i*s + 28 = -9*s, -6 = w - s for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*f - 2 = 2*w - 0*w - 5*f, -4*f + 2*f = 4 for w.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 + 1180257.\nAnswer: 1180252","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 53.98 + -55.98. Let o = -1.27 - -1.27. Which is the closest to o? (a) -3 (b) 3\/7 (c) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 130 minutes before 4:07 PM?\nAnswer: 1:57 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.43 - 0.33. Let m be (2 - 1) + (-1)\/2. Let h = -3 + 6. Which is the nearest to m? (a) f (b) h (c) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7342821.\nAnswer: 3, 815869","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.4563 + -108.0163. Let r = 116 + m. Let c = 8.43269 - r. What is c rounded to 4 decimal places?\nAnswer: -0.0073","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = -7*m + 2. Let l(f) be the third derivative of f**4\/24 + f**3\/6 + 3*f**2. Let i(h) = -5*l(h) - n(h). What is the first derivative of i(t) wrt t?\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (h**3 - 2*h**3 + 0*h**3)*(3*h**2 + 2*h**2 - 2*h**2) + (-90 - 4*h**2 + 90)*(-6*h + 0*h - 4*h**3 + 4*h).\nAnswer: 13*h**5 + 8*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = -3*u + 4. Let n = u + -11. Is 4\/(-6) - 96\/n a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h - 2*q = -22054, 14485 = 5*h - 4*q - 7587. What is the tens digit of h?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*b + 9*b + 3*b**3 - 5*b + 0*b**3 + 2 in the form m*b**2 + q*b**3 + r*b + i and give i.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify v**(-11)*v\/(v\/v**(-4\/11))*v\/v**15*v\/v**4 assuming v is positive.\nAnswer: v**(-312\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*b + 13 - 15*b - 8*b - 26 as r + l*b and give l.\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*v - 26*v + 700 = 0. What is the tens digit of v?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in eighteen fifths of a meter?\nAnswer: 3600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 313*k + r + 10858 = 317*k, -5*r + 10 = 0. Calculate the greatest common divisor of k and 15.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.17603555 rounded to four dps?\nAnswer: -0.176","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c = c + 2*g + 122, 20 = -4*g. Is 0\/2 - 3 - c a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = -m**3 + 4*m**2 + 8*m - 7. Let t be o(5). Suppose 3 = -g, -w + t = -4*g - 8. Calculate the highest common divisor of 16 and w.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -110 = -3*s - s - 2*v, 5*v = s - 11. Calculate the remainder when 37 is divided by s.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 175 - 3 = 23*z - 127 for z.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 657072 - 48501 = l - 5*f, 3*l = f + 1825741. Is l a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s - 2*m - 8 = 0, 0 = -2*s + 4*m - 16. Let r = s + 49. Does 11 divide r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.2 and -11235.\nAnswer: 2247","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 3713 a multiple of 27?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 1124 - -533?\nAnswer: 1660","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*o = -5*c - 12, -38*o - 3*c = -32*o + 24 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -5, -765, 7?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) be the second derivative of b**4\/8 + 17*b**2 + 6*b. Let r(w) be the first derivative of c(w). Let z(x) = -20*x**2. What is z(r(i))?\nAnswer: -180*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -11*j**3 - 2226*j**2 + 1070*j - 441825826.\nAnswer: -33*j**2 - 4452*j + 1070","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 83477922?\nAnswer: 2, 3, 11, 17, 47, 1583","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = a + 1. Let j be i(4). Let v(f) = -2 - 4*f + f + j - 4. Determine v(1).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-8 - (-580)\/80) + 50\/(-8).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = 7*u**3 - u**2. Let k be v(1). Suppose -k*c + 2*c = 0. Let w = c + 2. What is the units digit of w?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = -34*k**2 - 75*k + 4. Let w be v(-2). Solve 32*f = 14*f + w for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s - 33*w = -34*w - 6246, 3*s - 18708 = -2*w. Is 15 a factor of s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = -q. Let h(o) = -16*o - 2. Calculate -h(g) - 3*i(g).\nAnswer: 19*g + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -4\/3 + 1. Let p = -5.5 - -7.5. What is the closest to p in 4, 5, y?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-9)\/12)\/(2\/(-8)). Suppose 0 = -0*q - b*q + 12. What is the units digit of q?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = l**3 - 20*l**2 - 74*l - 25. Let r be h(23). Which is greater: -142 or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = -4*n**3 + 5*n - 6. Let l(f) = f**2 - 9*f + 13. Let x be l(8). Suppose -x - 2 = -p. Let z(a) = 8*a**3 - 9*a + 11. Determine p*g(q) + 4*z(q).\nAnswer: 4*q**3 - q + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 236974513 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = 1505*p**3 + 3*p - 2. Let f be l(1). Let u = -883 + f. Is u prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6220571041 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 14*x**2 - 2185985621 + 2185985621.\nAnswer: 14*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is -17621 at most -16099?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express 10*z + 425 - 11*z + 3*z + 4*z**2 + 281 - 160 in the form a*z + w + l*z**2 and give w.\nAnswer: 546","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {v: 4, j: 2, o: 2, s: 5, u: 4}. What is prob of sequence osu?\nAnswer: 1\/102","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 127 a factor of ((-10160)\/(-3))\/((238\/(-154) + 1)\/(-9))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 30776 and 12.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 10391 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0 + 1 + 2 + (-2 + 4 - 3)*(3 - 8 + 1))*(0*d + 2*d - 4*d) to w*d + g and give w.\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.04294807925 rounded to 3 decimal places?\nAnswer: 0.043","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*w**4 + 435*w**3 - 4280*w**2 + 3840*w.\nAnswer: 5*w*(w - 8)*(w - 1)*(w + 96)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*g**2\/9 - 19220*g\/9 - 386800\/3.\nAnswer: 2*(g - 9670)*(g + 60)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 920 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 128114407 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -95 + 95 + 68*m - 78*m.\nAnswer: -10*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 2072 - 12431\/6. Let f = 2 + -1.8. Let y = -3 - -2. Which is the closest to f? (a) w (b) y (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 631*p - 485*p + 315*p - 460*p.\nAnswer: p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = 2*z**2 + 15*z + 14. List the prime factors of g(-11).\nAnswer: 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 240*f**4 + 57*f**3 - 64834*f**2.\nAnswer: 5760*f + 342","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:16 PM and 8:00 AM?\nAnswer: 524","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/5? (a) 27 (b) -0.00411 (c) 0.1 (d) 2\/3 (e) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*t - t - 15. Suppose -2*x = 2*x + 2*x. Suppose -c + x*y = y - t, 4*c - 64 = -5*y. Does 3 divide c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*sqrt(2448)*-1)**2.\nAnswer: 88128","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -18543.6536 rounded to the nearest ten?\nAnswer: -18540","meta":{"dup_signals":{},"source":"numbers__round_number_test"},"subset":"dm_maths"} +{"text":"Question: Expand (-23*t - 3*t - 8*t)*(-1 + 1 - 2) + 7 - 10*t - 2 - 4.\nAnswer: 58*t + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = -2*k**2 - 6*k - 1. Let q be v(-5). Let n = 29 + q. Calculate the remainder when 15 is divided by n.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-2)\/31)\/((-3975)\/4929)\nAnswer: 2\/25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = 25*w - 13. Calculate h(3).\nAnswer: 62","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*u - 15*w + 10*w - 9, 5*u - 7 = -3*w. Suppose -u*g - 3*r = -7*g - 32, -2*g - 12 = -r. What is the biggest value in g, 1\/7, -0.11?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k - 5*n + 16 = 0, 3*n = 2*n. Let o(w) = -w**2 + 8*w + 2. Let p be o(6). Let r = p - k. What are the prime factors of r?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 10232 is divided by 27.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2384.\nAnswer: 2, 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does 973 divide 10306191?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = i**2 - 17*i + 28. Let w be y(15). Let m = 8 + -12. Put m, -0.1, w in decreasing order.\nAnswer: -0.1, w, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*g + 5*d - 4 = 0, -5 = -30*g + 29*g - d for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*w - m + 26 = 0, -2471 + 2483 = -4*w + m for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-3)\/(-2) - (-330)\/60. Suppose 0 = -j*v + 23 - 51. Let r(a) = 7*a**2 + 4. Let t(f) = 14*f**2 + 9. What is v*t(w) + 9*r(w)?\nAnswer: 7*w**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -0.5 (b) -12\/13 (c) 3 (d) 3\/2 (e) 19 (f) 0.1 (g) 10\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_test"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {t: 10, y: 8, l: 1}. Give prob of picking 3 t and 1 y.\nAnswer: 80\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Divide 30 by -3.\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 35 (b) -2\/7 (c) -0.3 (d) 0.1 (e) -6.2 (f) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand 6*z + 5*z - 2*z + (0*z - 3*z + 4*z)*(3 + 1 - 2) - 4*z + 4*z - 2*z + (-3 + 3 - z)*(-1 + 0 + 2).\nAnswer: 8*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 79983 is divided by 7193.\nAnswer: 860","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -129 - -1?\nAnswer: -128","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 295*c**4 + 13*c**3 - 195393*c**2?\nAnswer: 7080*c + 78","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 468498.\nAnswer: 2, 3, 113, 691","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does 53 divide 2021?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -23 + 26. Find the third derivative of -6*u**2 + 2*u**x - 34*u**2 + 5*u**5 - 380 + 380 wrt u.\nAnswer: 300*u**2 + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -1730, -3545, -5360, -7175, -8990?\n\"Answer: -1815*w + 85","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) be the first derivative of v**3\/3 - 3*v**2 - 2*v + 28. Determine x(6).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence op when two letters picked without replacement from {z: 2, y: 9, v: 3, o: 2, j: 1, p: 3}.\nAnswer: 3\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 11 - 19*v**4 + 8757*v**6 - 15 + 19*v**4 - 23*v + 6 + 30*v**2 wrt v?\nAnswer: 1050840*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11079527743 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h + 0*w + 2*w = 27, 2*h - 29 = w. Suppose 3*s + 3*i = 8*i + 4, -h = -4*s - 5*i. Which is the closest to -1\/2? (a) -3\/4 (b) s (c) -3\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -26 + 22 + (21 - 6) + -8.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -44032322 + -4?\nAnswer: -44032326","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r = -3*r. Suppose 2*i = -5*z - 11, 5*z - i - 4*i + 25 = r. Is (z + -25)*9\/(-12) a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 742228976?\nAnswer: 2, 17, 163, 16741","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -2\/15, -0.2, 4?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -9, 10, 0, -1061, 4, -4 in ascending order.\nAnswer: -1061, -9, -4, 0, 3, 4, 10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 2 + 2*d)*(2*d**2 - 2*d**2 - 2*d**2)*(-10 + 4 - 1).\nAnswer: 28*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 5, 1\/2, 1, 0, -0.022, 0.026?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -12, 396, -1610, 3, -1, -5.\nAnswer: -1610, -12, -5, -1, 3, 396","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j = -0*j - 10. Let d(b) = -4*b**2 - b + 2. Let p(l) = -l**3 - 8*l**2 + l + 7. Let r be p(-8). Let c(v) = v**2 - 1. What is j*c(y) + r*d(y)?\nAnswer: 2*y**2 + y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = t**2 + 4*t - 30. Let z be q(4). Suppose -z*r - h + 14 = 3*r, 2*h = 4*r. Let o = 1 - 1. Solve -g - 2*a = 8, o*a = 2*g - 2*a - r for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0 + 1. Let j be 42\/(-10) + i\/5. Let w = 5 - j. Solve r - b = -4, -4*b - w = r - 0*r for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gegu when four letters picked without replacement from {u: 4, g: 3, e: 2}?\nAnswer: 1\/63","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence erah when four letters picked without replacement from enennneanerheteenta?\nAnswer: 7\/46512","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round -144989849730 to the nearest 1000000.\nAnswer: -144990000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = v - 17. Let u be x(15). Let y(d) = -2*d**2 + 38*d - 177. Let q be y(9). Sort 5, u, 8, q.\nAnswer: u, q, 5, 8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 65.16839 + -65.07. What is l rounded to 3 decimal places?\nAnswer: 0.098","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = 75*y**2 - 4*y + 2. Let j be s(2). Let p = j + -3236\/11. Which is the smallest value? (a) p (b) -2\/3 (c) -2\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -100, -183, -256, -319, -372, -415?\n\"Answer: 5*v**2 - 98*v - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 k when three letters picked without replacement from mkmmkkkmum?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Divide 58342 by -19.\nAnswer: -58342\/19","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0 - 9. Suppose -21*l = 5*l - 7358. Let u = -293 + l. Is j smaller than u?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -3 - -8. Let t = 48 + -44. Let z(w) = w + 3*w + 2 + t*w - 3*w - w**2. Calculate z(v).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*p - 34 + 18 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = v**3 - 5*v**2 + 3*v - 5. Let x be b(4). Suppose -4*s + 4 = -4*g, -g = -2*s - 1 + 6. Put x, s, -4 in increasing order.\nAnswer: x, -4, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-165)\/210*-14 + -3 + 0. Let t(q) be the second derivative of q**5\/20 - 2*q**4\/3 + q**3\/3 - 2*q**2 - q. Calculate t(c).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1.5289 or 36?\nAnswer: 36","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = a**3 - 16*a**2 + 59*a + 4. Let r be d(6). What is the nearest to r in 2, 10, 0, 26\/5?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = 16*w**2 + 6*w + 10. Let s be 3\/(2 - 3\/3). Let n(d) = 5*d**2 + 2*d + 3. Let z(l) = s*o(l) - 10*n(l). Let z(i) = 0. What is i?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from tytyttyt. What is prob of sequence yy?\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 317628 and 1428?\nAnswer: 2223396","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 62 + -52. Let p(h) = -1 - 7*h**2 - b*h**3 + 4*h + 3 - 8*h + 9*h**3. Give p(-5).\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -65*w - 16*w - 190*w - 212*w = -37191 for w.\nAnswer: 77","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 184152.1 years to decades.\nAnswer: 18415.21","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 4, t: 1, v: 3, m: 1, q: 6, z: 4}. Give prob of picking 1 q and 1 z.\nAnswer: 8\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 + -5 - -6 - 7.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*t - 14*o + 16 = -15*o, 0 = 4*t + 2*o - 24 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -1101945*c**3*t**2 - 6989343*c**3*t wrt t?\nAnswer: -2203890*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -126*w + 63*w + 65*w + 3*n = 74, -135 = -w - 5*n for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -10? (a) 4 (b) 11 (c) 4\/5 (d) -1\/4 (e) -4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2717 by 11.\nAnswer: -247","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 255 is divided by 77.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does 102 divide 7538310?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -1082 + 56926.216?\nAnswer: 55844.216","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 172, 322, 472, 622, 772?\nAnswer: 922","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: ((-2)\/4)\/(-2*1\/4)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Determine l so that 3*l**4 + 502680*l**3 + 21068823666*l**2 + 968368281480*l + 11133178022763 = 0.\nAnswer: -83757, -23","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1 and 173?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*sqrt(77)*-2*-3)\/((sqrt(84)\/sqrt(108) + sqrt(7))*-5) + -5.\nAnswer: -5 + 9*sqrt(11)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 k and 1 e when two letters picked without replacement from qqeqkekekqekeed?\nAnswer: 8\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*j = -2*q - 37, 7*j + 38 = -3*q + 2*j for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor 108*r**5 + 228096*r**4 + 160427232*r**3 + 37468062464*r**2 - 75579660352*r.\nAnswer: 4*r*(r - 2)*(3*r + 2114)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r + 10 = c, 5*r + 2*c - 9 = 16. Suppose 5*m - 29 = -4*w, 2*m + 7 - 18 = -w. Suppose r*f - 30 = -3*z, z - 3*f - w = -z. What is the units digit of z?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*t - 8 = 0, 5*p + 20 = -4*t - 3 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*u + 12 = 3*u. Suppose -g = -3*m + 5, 0 = u*m - 0*m + 4*g + 20. Let t = m - 0. Solve t = -5*k - f - 0 + 7, -4*k = -f - 2 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 15 divided by -7.\nAnswer: -15\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = -w**2 - 13*w - 13. Determine k(-12).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -11*((-312)\/33)\/26.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -94 = -11*n - 17 for n.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a - 23*a = 21*a - 385635. List the prime factors of a.\nAnswer: 3, 5, 547","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 191 = 5*c - 4*o, 2*c = -4*o + 6*o + 78. Let p = -7 + c. Is 14 a factor of p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = 87*b. Let o(d) be the first derivative of -3*d**2\/2 + 121. Calculate y(o(q)).\nAnswer: -261*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z = 2*z - z. Calculate the common denominator of ((-63)\/44)\/(2\/(-4)) and 49\/147 - (89\/(-18) + z).\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*a**3 + 0*a**3 - 5*a**3 + 0*a**3.\nAnswer: -a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 624\/20 + (-54)\/45. What is the greatest common divisor of 675 and j?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 1\/12 (b) -1.82 (c) -2342.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 22 and 660672?\nAnswer: 7267392","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 935 and 2295?\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*u**2 - 2*u**2 + 0*u**2)*(2 + 3 - 3) + u**2 + u**2 - u**2 - u + u - 2*u**2 + (2 - 2 + u)*(-u + 2 - 2) + 14*u + 9*u**2 - 14*u.\nAnswer: -u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -1.6 (b) 4 (c) 22\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(104)\/(sqrt(64)\/sqrt(8))*2 - (1 + sqrt(13)*-3*-4).\nAnswer: -10*sqrt(13) - 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 81, 87, 97, 111, 129, 151, 177?\nAnswer: 207","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 21*y**5 + 9*y**2 + 8*y**3 - 9*y**3 + y**3 wrt y.\nAnswer: 1260*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 16\/7 of a week in days?\nAnswer: 16","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) be the second derivative of -r**7\/70 - r**6\/30 + 4*r**3\/3 - 7*r. Let v(q) be the second derivative of t(q). Find the third derivative of v(c) wrt c.\nAnswer: -72","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 568 minutes before 2:13 PM?\nAnswer: 4:45 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 3302971?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w - 7*w + 10 = 0. Let i = w + 18. Let s = i - 25. Let m(t) = t**3 + 2*t**2 - t - 2. Give m(s).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 132 or 130?\nAnswer: 132","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-3)\/(-21))\/(-9*(-16)\/(-168)*-1). What is the biggest value in -14, 0, w, 3\/4?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -10 (b) 5 (c) -3\/4 (d) -5\/3 (e) -1\/3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s = 5*h - 41184698, -4*h - 6799439 = -5*s - 39747210. Suppose 71056939 = -9*m + h. Round m to the nearest 1000000.\nAnswer: -7000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 880 and 5850020.\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = -5031*y**3 + 9*y + 12. Let j be m(-7). Let f be j\/(-9) + (-4)\/(-12). Let c = -99731 - f. What is c rounded to the nearest one hundred thousand?\nAnswer: 100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve s = 5*w - 5, 0 = -2*w + 4*s + 17 + 3 for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(33)\/(sqrt(9)\/sqrt(3)) - (5 + sqrt(44)\/sqrt(4)).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 156 - (22 - 0 - (-43 + 78 + -31))?\nAnswer: 138","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:34 AM and 8:25 AM?\nAnswer: 171","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*o**2\/4 - 105*o - 23400.\nAnswer: 3*(o - 260)*(o + 120)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 68 + -56. Factor 11*m**4 + 6*m - 2*m**4 + 12*m**3 - k*m**4 - 15*m**2.\nAnswer: -3*m*(m - 2)*(m - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:36 PM and 12:00 AM?\nAnswer: 564","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is three sixteenths of a minute in milliseconds?\nAnswer: 11250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = a**2 - 5*a + 13. Give k(6).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 2*(3 - 2\/1). What is the common denominator of -49\/8 and (3\/36)\/(y\/195)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 741715.4 centuries in millennia?\nAnswer: 74171.54","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 740\/(-5) - (-5 + 5). Let s = v + 1012. What is the tens digit of s?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = -t**3 + 5*t**2 - 4*t + 3. Let n be h(2). Let s be 208\/n - (-6)\/21. Suppose 0*d = 5*d - s. List the prime factors of d.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = -3*u**2 - 32*u + 14. Let r be s(-11). What is the remainder when 152 + r*1*28\/21 is divided by 42?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = y**2 + 3484*y - 1. Let s(c) = -42*c + 2. Determine s(x(a)).\nAnswer: -42*a**2 - 146328*a + 44","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 j and 1 f when two letters picked without replacement from mmfrmrrmmmfmrj.\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (7 + -15 + 5 - -8) + -7.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide 410 by 1.\nAnswer: 410","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in 60.807 hours?\nAnswer: 218905200000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -438*l**2 + 1344*l**2 + 1468*l**2 + 669*l**2 - 218*l**2 to the form i*l + j*l**2 + p and give j.\nAnswer: 2825","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 53 minutes before 6:35 AM?\nAnswer: 5:42 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b + 14 = -f - 0*b, 3*b + 18 = 3*f. Let u be -4 + 4 + 1 + f. Suppose 5*y - 27 = u. Calculate the highest common factor of y and 9.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 9*a**2*d**2 - 74*a**2*d + a*d**2 + 43*d**2 + 2 wrt a.\nAnswer: 18*d**2 - 148*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ipvmvbprmbvipvr. Give prob of sequence mpr.\nAnswer: 2\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 0.01 (b) -0.2 (c) 17 (d) -2 (e) -4\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1 + 36*d - 10 + 4 + 3 to the form c*d + r and give c.\nAnswer: 36","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -17, -155, -523, -1235, -2405, -4147, -6575?\nAnswer: -9803","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 1, o: 1, b: 2}. Give prob of sequence ob.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 divided by 108419?\nAnswer: 3\/108419","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 - ((-41418)\/162)\/59.\nAnswer: 22\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11743 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -634 divided by -2346612\nAnswer: 317\/1173306","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-one fifths of a millennium in centuries?\nAnswer: 42","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = 10*z**3 + 3*z**2 - 4*z + 2. Give r(2).\nAnswer: 86","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) be the second derivative of -5*c**3\/6 - 13*c**2 + 6*c. Let x be b(-8). Calculate the greatest common divisor of 56 and x.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = 28*k + 1354. Let i be d(-48). Let g be (-828)\/(-20) + (-4)\/10. Suppose g + 29 = q. Calculate the highest common divisor of i and q.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 101212 (base 6) in base 8?\nAnswer: 17610","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = -848*g**3 - 6*g**2 + 47*g - 46. What is w(1)?\nAnswer: -853","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 192584 a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 54 + -37. Is 1186\/34 + 2\/s prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -135207, -270423, -405639, -540855, -676071, -811287?\nAnswer: -946503","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 450 and 810?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 212*m + 554*m - 431*m + 506*m.\nAnswer: 841*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = 4*r**2 + r - 1. Let h(l) = -5*l**2 - 2*l. What is -3*h(j) - 4*p(j)?\nAnswer: -j**2 + 2*j + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) be the second derivative of i**6\/10 - 9*i**5\/4 - 3*i**4 + 82*i**3 + 360*i**2 - 112*i - 3. Factor m(r).\nAnswer: 3*(r - 15)*(r - 4)*(r + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 46\/10 - (-6)\/(-10). Let q = 0 + m. Solve q*x - 5*x + 7 = -3*c, -2*c - 22 = -5*x for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = -13*o - 22. Let p(d) = d + 1. Let l(v) = -m(v) - 5*p(v). Let t be l(-3). Let c(x) = -24*x - 8. Is 20 a factor of c(t)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0\/(4*1\/4).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -501.4 + 501.5. What is the fifth smallest value in x, 45, 0, -5, -1?\nAnswer: 45","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -116 - 3. Let c(u) = 2*u**3 + 6*u**2 - 3*u + 12. Let i be c(-6). Let f = j - i. Is f a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(170) - (sqrt(170) - (sqrt(170)*1*5 - sqrt(170))) - (-3*sqrt(170)*5 + sqrt(170)))\/(-4*2*sqrt(640)*-6).\nAnswer: 3*sqrt(17)\/64","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is q in 1002*q**5\/11 - 4*q**4\/11 = 0?\nAnswer: 0, 2\/501","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {m: 9, f: 2}. Give prob of picking 2 m and 2 f.\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 173591662 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -10, -2, 3, -91, -502?\nAnswer: -10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -24523\/31 + 791. Let o = 1 + -3. Let j be (o\/6)\/(2\/6). Is j != v?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = -r**3 + 9*r**2 + 10*r. Let i be b(10). Suppose i*x + 6 = 2*x. Let u be 1*x\/(0 + 3) - -4. Solve -u = 3*n - 11 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(70) + sqrt(70) + sqrt(70)*-1*-6 - sqrt(70)) + 6*sqrt(70)*-2)\/((sqrt(2560)*-1)\/(-4*sqrt(16))).\nAnswer: -5*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express 352*s - 271*s + 456*s in the form f*s + y and give f.\nAnswer: 537","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {r: 2, i: 16}. What is prob of sequence irir?\nAnswer: 1\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -96495, -772005, -2605551, -6176151, -12062823, -20844585, -33100455?\n\"Answer: -96503*p**3 + 11*p - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -2125a5b (base 14) to base 2\nAnswer: -111011110110011100010001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -57725 + -4?\nAnswer: -57729","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 1921.047 nanometers?\nAnswer: 1.921047","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (4\/11)\/(-2) + 4935\/(-385)?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round 7042875.2 to the nearest 1000000.\nAnswer: 7000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 24.235 rounded to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 20316885.\nAnswer: 3, 5, 37, 36607","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 8017734*b**4 - 60982*b - 44 wrt b?\nAnswer: 96212808*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) be the first derivative of -10 + 2\/5*f**5 + 0*f - 2*f**4 - 2*f**2 + 10\/3*f**3. Factor p(a).\nAnswer: 2*a*(a - 2)*(a - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 235714, 5, 0 in decreasing order.\nAnswer: 235714, 5, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5826?\nAnswer: 2, 3, 971","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 g and 1 c when two letters picked without replacement from {v: 4, g: 1, c: 2}.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -436*n**2*v**4 - 14*n**2 + 4*n - v**4 wrt v?\nAnswer: -1744*n**2*v**3 - 4*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 9 + -5. Suppose q - 26 = x*m, -5*q - m + 25 = -0*q. Suppose 10*v = -63*v - 28*v + 606. Is q less than or equal to v?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4 + 249*d**2 - 91*d**2 - 6 + 2.\nAnswer: 158*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*g**4 + 3*g - 15*g**2 + 3*g**4 + 14*g**2 to z*g**3 + u*g**2 + m*g + c*g**4 + b and give b.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 143\/3 - (-2)\/(-3) is divided by 11\/((-22)\/(-24)) - (3 - 4).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 7814166*f**5 - 5454512*f wrt f?\nAnswer: 156283320*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k\/((k*(k\/(k\/k**(-4\/3)))\/k)\/k))\/k)\/k**(-23) assuming k is positive.\nAnswer: k**(76\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1731 + 5487. Is 55 a factor of m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 68960351737 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -48675\/8 - -6087. Calculate the common denominator of o and -131\/3234.\nAnswer: 12936","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -372, -743, -1110, -1473, -1832?\n\"Answer: 2*i**2 - 377*i + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 624 and 78?\nAnswer: 624","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (1558\/134 + (0 - 13))*1\/15 and 133\/24.\nAnswer: 8040","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 413775 and 15525.\nAnswer: 675","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 273*y**4 + y**2 - 2*y - 106.\nAnswer: 1092*y**3 + 2*y - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -59*w + 329120 = -4*w. What is the tens digit of w?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-40)\/(-1680) + (-2)\/(-14)?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bbbb when four letters picked without replacement from bbbbbbbbbb?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -303 + 377. Let o be 740\/j + 2*-2. Solve 9 = 5*w - o for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -175231 - j**2 + 87599 + 87632.\nAnswer: -j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 1 - 3)*(-3 + 5 - 1)*(21*r**2 - 11*r**2 + 12*r**2).\nAnswer: -66*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 5895970, 5895973, 5895976, 5895979, 5895982?\n\"Answer: 3*k + 5895967","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*g + 3*z - 2001, -5*z = -3*g - z + 2008. Let l = -668 + g. Solve -2*p + 0*p = l for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y + 38 = -52. Let t = y - 12. What is the units digit of t?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 110775978*w**6 + w**2 + 26151728*w.\nAnswer: 13293117360*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = 298*i + 317. Let r(o) = 689*o + 740. What is 16*b(m) - 7*r(m)?\nAnswer: -55*m - 108","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 4*(600\/(-32))\/(-15)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = a**2 + 5*a - 28. Give m(4).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 1352, 2688, 3998, 5270, 6492, 7652, 8738?\n\"Answer: -2*y**3 - y**2 + 1353*y + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 22828 + -18133. Does 8 divide a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-40)\/22 + (-3)\/((-33)\/(-2))?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence dddn when four letters picked without replacement from {n: 2, w: 4, d: 6}.\nAnswer: 2\/99","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*w**2 - 156*w + 158.\nAnswer: -2*(w - 1)*(w + 79)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + 2 + 3*(5 + -2*sqrt(847)*6)*1)**2 + -5.\nAnswer: -15048*sqrt(7) + 1098068","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = m. Let i(d) = d**3 - 18*d**2 + 18*d - 15. Let n be i(17). Let t = 2 + 0. Let k(c) = 2*c**2 - t*c**n + c**2 + 3*c**2. Determine x(k(j)).\nAnswer: 4*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = -20*o - 3. Is v(-12) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 332511.\nAnswer: 3, 23, 61, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 7350590591 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 382 + -373. Let u(d) = -29 + g - 5*d + 13. What is u(-3)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 2110021222 - -11?\nAnswer: 2110021233","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(2430) + (sqrt(2430) - ((sqrt(2430) - 1*sqrt(2430)) + sqrt(2430) + sqrt(2430))))\/(sqrt(250)*-2 + sqrt(250)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is -19 less than or equal to -12?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*n = -19 + 11 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 30023 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = 3*m**2 + m + 3. Let q(k) = 10*k**2 + 3*k + 8. What is -3*q(w) + 8*z(w)?\nAnswer: -6*w**2 - w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -24751 + -1?\nAnswer: -24752","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-3)\/(-21) + -1)*-14. Suppose -2*g - g + i = 0. Solve -o = 3*o - g for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 146*w - 511*w - 223*w - w - 1 + 1 + 2*w - 2*w + w + (-4*w - w + 4*w)*(1 - 3 + 1).\nAnswer: -587*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = -2*m - 4 + 2*m - 3 - m. Suppose 2*u - 3*f = u - 15, 3*u + 15 = -f. Let v be i(u). What is the smallest value in 4, v, -3\/5?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = 6*r - 2 - 1 + 3*r. Is q(8) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 5 - 4. Let a = -0.6 + b. Let l be 16\/(-32)*1*4. Put a, -1, l in increasing order.\nAnswer: l, -1, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: (60 - 88)\/((-14)\/(-4))\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 - (-6 - 1) - (-77 - -68)?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t + 6 = 12. Let n = -1 - -6. Solve -q = 4*y - n*y, -2 = t*y - 2*q for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a + 6 - 1 = 0. Let y = -80874\/13 + 1938102\/299. Let d = y - 261. Is a greater than d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = -16072*g - 823. Is q(-10) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (3512\/(-105))\/((-1394)\/5). Let g = t - 2\/861. Which is smaller: 1 or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) be the first derivative of s**5\/30 + s**4\/12 + 65*s**3\/6 - 7*s**2 - 13. Let c(f) be the second derivative of h(f). Is c(0) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 2 - -87981?\nAnswer: 87983","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round 5.4 to the nearest 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = 7*x**4 + 5*x**3 - 18*x**2 - 23*x + 24. Let v(a) = 3*a**4 + 2*a**3 - 9*a**2 - 10*a + 12. Let t(n) = -2*g(n) + 5*v(n). Determine q so that t(q) = 0.\nAnswer: -2, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 5 + 135?\nAnswer: 140","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = -4*m + 55. What is j(45)?\nAnswer: -125","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -7 - -8. Let r = 443 - 430.46. Let u = r + -0.54. Which is the third biggest value? (a) u (b) -3 (c) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ao when two letters picked without replacement from qoooovqqqoaooqqvqq?\nAnswer: 7\/306","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -831365.96 take away 0.11?\nAnswer: -831366.07","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 131319311 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1907, -1209, -45, 1585, 3681, 6243?\nAnswer: 9271","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 86 and 68957509?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2.492696 days to seconds.\nAnswer: 215368.9344","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11 = -4*b - y, 2*b = -45*y + 49*y - 10 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/4 in 0.2, -5, 2\/7, 1\/3?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 84 less than -38467966605?\nAnswer: -38467966689","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -211110110211 + 22002?\nAnswer: -211110011202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put together -15310319107 and 1.427.\nAnswer: -15310319105.573","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = j**3 - 89*j**2 - 722*j - 5235. Determine o(97).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*(-5 + sqrt(300)*1 + sqrt(300) + -2*sqrt(300) + 5 + 4 + -4))**2.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_test"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1110010011010010010 - 101?\nAnswer: 1110010011010001101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.57 - -0.57. Which is the second smallest value? (a) -0.5 (b) 5\/3 (c) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -259906 divided by 5.\nAnswer: -259906\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = h**3 + 11*h**2 - 2*h + 7. Determine a(-11).\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of (-24)\/6*-5 - -4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (49\/(-14))\/((-2)\/4). Suppose 1 - o = -p. Suppose 0 = -4*a + 3*r - p*r + 512, 5*r - 504 = -4*a. Is a prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = 4*f + 85. Determine r(-25).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q - 19 = 25. Let z(m) = -m + 10. Let s be z(q). Is 14 a factor of (-73)\/(-4)*s*(-7 - -3)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -2 (b) -0.036 (c) -0.25 (d) -0.17 (e) 1\/2 (f) 0.1 (g) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 806.\nAnswer: 2, 13, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 128250, 128324, 128398, 128472?\nAnswer: 128546","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = d**3 - 11*d**2 - 13*d + 23. Give m(12).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is four thirds of a hour in seconds?\nAnswer: 4800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = 2*y - 4. Let w be j(4). Suppose -w*k = k - 5. Suppose 4 = -a - 2*f + 3*f, 4*a - 3*f + 17 = 0. Sort 2, a, k.\nAnswer: a, k, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -52*c**2 - 25316*c + 3896.\nAnswer: -4*(c + 487)*(13*c - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2409 is divided by 19.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*g + 3*p + 4, 0*g - 5*p - 26 = -3*g. Let f be (-2)\/(-1)*1\/10. Let q be (2*1)\/2 - 0. Sort g, f, q in increasing order.\nAnswer: f, q, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 17 + -19. Let q(s) = 3*s**2 - 3 + s**2 + 1. Is 14 a factor of q(a)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 9 + -16 - (-2 + -9)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1046991 and 22.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3 + 0 - 3*z**3 + 5 + (2*z**2 + 2*z**2 - 6*z**2)*(-4 + 2*z + 4) + 2*z**2 - z**3 - 2*z**2 + 0*z**2 + 2*z**3 + 0*z**2.\nAnswer: -6*z**3 + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {g: 3, z: 3}. What is prob of picking 1 z and 3 g?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:13 AM and 10:41 AM?\nAnswer: 148","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -4539aa7 - -4?\nAnswer: -4539aa3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -7 + 1. Let z(n) = n**2 + 7*n. Determine z(p).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 3 - -4. Let h(v) be the first derivative of -v**4\/4 + 2*v**3 + 3*v**2 + 8*v - 3. What is the units digit of h(z)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -848 + 838 - (-1 + (-82 - 1)).\nAnswer: 74","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = -34*z - 136. Calculate the remainder when 2446 is divided by k(-6).\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = 323*a + 12. Let u(n) = -646*n - 31. Determine 5*r(v) + 2*u(v).\nAnswer: 323*v - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:52 AM and 1:01 AM?\nAnswer: 9","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1635 is divided by 12.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17*l - 40*l + 57 = 0 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = 19*g - 301. What is q(16)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round 23867.405 to the nearest 10.\nAnswer: 23870","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -325828, -1303328, -2932498, -5213338, -8145848?\nAnswer: -11730028","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*y**2 + 68*y + 578.\nAnswer: 2*(y + 17)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 29 divide 446150?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -29\/24 and -11\/56.\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -63, -63, -1, 123, 309?\n\"Answer: 31*b**2 - 93*b - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.19 + -186.81. Let l = 186.9873 + b. What is l rounded to 3 dps?\nAnswer: -0.013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = -f. Let m(h) = -2*h + 131. Give m(s(d)).\nAnswer: 2*d + 131","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = 2*c**2 + 2*c - 7. Let g be z(3). Let n be 40\/(-340) - (-427)\/g. Let i = -9 + 14. What is the greatest common divisor of n and i?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.05 + 0.25. Do -8 and m have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor o**3\/4 - 1555*o**2\/4 - 5467*o\/2.\nAnswer: o*(o - 1562)*(o + 7)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 46.2714 litres?\nAnswer: 46271.4","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5469.833t to kilograms.\nAnswer: 5469833","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Product of 714 and 74.478.\nAnswer: 53177.292","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*i + 19 - 19 + (-2 - 1 + 1)*(4*i + 3*i - 5*i).\nAnswer: -8*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*(sqrt(68) + sqrt(68) + (sqrt(68) - (sqrt(68) - (sqrt(68) - sqrt(68)*-2)))*-1 + sqrt(68))*6)\/(3*sqrt(484) - (sqrt(256) + sqrt(256)*-4 - sqrt(256))).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -164, -30, 106, 244, 384, 526?\n\"Answer: j**2 + 131*j - 296","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) be the first derivative of 2*p**5\/15 - 14*p**3\/9 - 2*p**2 - 19. What is y in k(y) = 0?\nAnswer: -2, -1, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17 = 3*t + 4*r, 4*t - 4*r - 23 = 1. Solve j + h + 1 = 0, -3*h + t = j + 2 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w - 640 = -2*m, 153 = -m + 5*w + 503. Suppose 5*y + m = 4*c - 9*c, 2*y + 132 = c. Let r = -30 - y. Is 11 a factor of r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = 434*k + 2861. Calculate c(-5).\nAnswer: 691","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 2\/3319 or -1?\nAnswer: 2\/3319","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*c + c + 5*c)*(48*c**3 - 18*c**3 + 35*c**3)*(-3*c + c + 3*c).\nAnswer: 390*c**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 30, 50, 46, 6, -82, -230?\nAnswer: -450","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -14946 divided by 5\nAnswer: -14946\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) be the first derivative of -g**6\/4 - 69*g**5 - 7935*g**4 - 486680*g**3 - 16790460*g**2 - 308944464*g + 335. Factor i(t).\nAnswer: -3*(t + 46)**5\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*c**2 + 4*c - 39*c + 35*c.\nAnswer: -3*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -32646 (base 7) in base 14?\nAnswer: -2dcd","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = 7*r**2 + 1. Let d be i(-1). Suppose -d*g + 999 + 65 = 0. List the prime factors of g.\nAnswer: 7, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 46524138 - 0.11.\nAnswer: 46524137.89","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:40 AM and 6:52 PM?\nAnswer: 612","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3815438426.\nAnswer: 2, 1907719213","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 31412?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = h + 30. Let j be y(18). Calculate the remainder when 29 is divided by j\/2*1\/4*2.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.6 rounded to 2 dps?\nAnswer: -0.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = -r**3 + 5*r**2 + r - 4. Let l(c) be the first derivative of c**2 + c - 2. Suppose 0 = -5*s - 0*k - 3*k + 4, 3*k = -6. Let v be l(s). Determine q(v).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:45 PM and 10:02 AM?\nAnswer: 617","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 4426\/15 + -295. Which is smaller: 0 or h?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1395603427.\nAnswer: 1395603427","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 o when two letters picked without replacement from {x: 10, o: 2}?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x = 4*t + 1385, -17*x + 14*x - 3*t + 4080 = 0. Let j = 1370 - x. Let -34\/5*o**4 - 12\/5*o**3 - 2*o**j + 0 + 0*o**2 + 0*o = 0. What is o?\nAnswer: -3, -2\/5, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*r - 7*r**2 - 3*r**2 - r + 4*r in the form w*r + c + f*r**2 and give f.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 87 + -60. What is the remainder when 76 is divided by i?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -8.328 + 8.228. Put s, 0.4, 13, 7, 2 in decreasing order.\nAnswer: 13, 7, 2, 0.4, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 643 minutes after 11:28 PM?\nAnswer: 10:11 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1717.5 + -1717.7. Let n = -0.6 - 4.4. Let r = n - -4. Put r, w, 4\/7, -2 in ascending order.\nAnswer: -2, r, w, 4\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -i + 2980901618 - 2980901618.\nAnswer: -i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*w + 15*j = 18, 5*w - 24*j + 154 - 124 = -22*j for w.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -92733, -92735, -92737, -92739, -92741, -92743?\n\"Answer: -2*r - 92731","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 3150 and 38159100?\nAnswer: 3150","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1 - 1 - 29864132*a + 29857319*a to the form z + f*a and give f.\nAnswer: -6813","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -283 + 553. Let r be w\/4*(-4)\/(-6). Let b be (-4)\/(-18) + 86\/18. Calculate the greatest common divisor of r and b.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 223 (base 8) to base 5.\nAnswer: 1042","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 95 (b) 0.1 (c) 1\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 3\/32 of a milligram?\nAnswer: 93750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = 7*t - 12. Let j be h(3). Suppose -3*l + 423 + j = 0. What is the highest common factor of 16 and l?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0526917 rounded to four decimal places?\nAnswer: 0.0527","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 1, f: 7, b: 2, q: 3, r: 1}. What is prob of picking 1 q and 1 f?\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does 40 divide 8935?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.02, 0.208, -0.2 in decreasing order.\nAnswer: 0.208, 0.02, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 103356057?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 4938 and 159527028.\nAnswer: 4938","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/5? (a) 0 (b) 470 (c) 66\/5 (d) 0.1 (e) -2\/9\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -94 + 94.03. What is the fourth biggest value in 3, i, -3\/20, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25 = 5*f + 185. Let b = f - -30. Let o(r) = -7*r**3 + r**2 + r + 1. What is the units digit of o(b)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 2819 + -2693. Calculate the least common multiple of v and 198.\nAnswer: 1386","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 29a44c2 (base 13) to base 6\nAnswer: 1152510011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c**(1\/4)\/c)\/c**(2\/7))\/((c\/(c*c**(1\/6)*c)*c)\/c**(-6)) assuming c is positive.\nAnswer: c**(-577\/84)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h*(h**(-2\/7)*h)\/h*h**0)**(5\/11) assuming h is positive.\nAnswer: h**(25\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = 197*q**2 + 6*q - 6. What are the prime factors of j(1)?\nAnswer: 197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h + 7*g = 2*g - 4, 5*h - g - 20 = 0. Suppose -h*t + 3 = -5. What is the units digit of t?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-10)\/((12\/(-64))\/(2052\/(-1824))).\nAnswer: -60","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1794 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2426*w + 28*w**2 + 2426*w + (-w - w + 5*w)*(0 + 0 + 2*w).\nAnswer: 34*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*m**3 + 2*m**3 - 15 + 5 + (73*m**2 + 5*m**2 + 21*m**2)*(-6*m - 5*m + 3*m).\nAnswer: -790*m**3 - 10","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 2448 and 476?\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 111389820 minus -1?\nAnswer: 111389821","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x + 15*i - 51 = 14*i, 0 = x - i - 24. Suppose 30*r = x*r + 205. What are the prime factors of r?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 3.9 (b) 2\/7 (c) -0.038 (d) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is (5 + 46\/(-8))\/((-5748)\/26824)?\nAnswer: 7\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put 325995, 5, 33, 7 in increasing order.\nAnswer: 5, 7, 33, 325995","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + (sqrt(200) - (sqrt(200) - (1*sqrt(200))**2) - (sqrt(18) + -4 - sqrt(2)) - (4*sqrt(144))\/(sqrt(32)\/(sqrt(4)*1))) + -1.\nAnswer: -14*sqrt(2) + 199","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = -k**2 + 5*k + 5. Let d be w(5). Let l be (61 + -55)*((-3)\/(-12))\/((-3)\/(-8)). Which is the nearest to l? (a) d (b) -1 (c) 7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 164 is divided by 17.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 9 - 9. Suppose o*p - 5 = -p. Suppose p*q = -9 - 1. Let h(d) = d**3 + 3*d**2 + 2*d - 2. Give h(q).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = -k**3 - 3*k**2 + 21*k - 18. What is i(3)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:22 AM and 11:50 AM?\nAnswer: 388","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is u in -5*u**3 - 8694840*u**2 + 26084555*u - 17389710 = 0?\nAnswer: -1738971, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 6*n**2*s + 135*n**2 - 4*n*s - 256*s - 2 wrt n.\nAnswer: 12*s + 270","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = -f**3 + 12*f**2 + 28*f - 3. Let q be g(14). Let x = 0 + 16. Let h = 15.94 - x. What is the closest to 0 in -0.5, h, q?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k*k*k**(-1\/5))\/k)\/(k*k**(2\/11)*k)*(k*(k*(k**(2\/3)\/k)\/k)\/k*k)\/k**1*k**(-6)\/(k*k**(-3)*k)*(k**(-1\/3)*k)**14 assuming k is positive.\nAnswer: k**(144\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 8 - -1 - 0 - 0. Suppose a = d - 11. Let u = -205 + 216. What is the remainder when d is divided by u?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1093348 - 1093348 + 2*o - 3*o.\nAnswer: -o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*d**2 - 7*d + 99*d**3 + 7*d - 97*d**3 + 225 - 3*d**3.\nAnswer: -d**3 + 2*d**2 + 225","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 n when two letters picked without replacement from bmbbnxnbnnw.\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -200 = 200*x - 204*x. Let h = 213 - x. Calculate the remainder when h is divided by 5.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*t**2 - 9350*t + 4371125.\nAnswer: 5*(t - 935)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (6\/(-12))\/((-10)\/(-12) + -1). Sort q, 0, -14 in descending order.\nAnswer: q, 0, -14","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -9 - 0 - (-1)\/(-1). What is the tens digit of (-344)\/(-10) - (-4)\/b?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 180177272 and 16280.\nAnswer: 3256","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -10.94 + 8.5. Let g = 2.439899 + o. Round g to 5 dps.\nAnswer: -0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_test"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1732118 + 72*l**2 + 866027 + 866091.\nAnswer: 72*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 46*k**3*l**3 + 15*k**3*l**2 + 358*k**2*l**3 + 2*k**2*l**2 + 2 wrt k.\nAnswer: 276*l**3 + 90*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {p: 7, u: 1, j: 5, x: 5}. What is prob of picking 2 p and 1 x?\nAnswer: 35\/272","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 22*s - 33 = 11 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*j - 3*j = i + 13, 0 = -2*i - 4*j - 12. Let v be (i\/(-5))\/(6\/15). Solve -o + v*d + 5 = -3, 4*d + 8 = -5*o for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 5\/2 in -2\/3, -16, 4, -1\/4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -15 (base 7) in base 13?\nAnswer: -c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12 = -75*k + 78*k for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 1 + 18\/(-28)*1. Let h be (1 - -2) + 2 + -4. Which is bigger: v or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 + 5 - (-2 + 2 + -1 + -3)?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -57, -101, -141, -177, -209?\n\"Answer: 2*u**2 - 50*u - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 52 + 48. Does 20 divide h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 8 - 7178*l - 8 - 17865*l**2 - 7177*l + 14355*l + (0 + 0 - 3*l)*(3*l - 5*l - l) in the form v + o*l**2 + f*l and give v.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 921.\nAnswer: 3, 307","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = -328*q**3 + 18*q + 22. Let l(o) = -985*o**3 + 51*o + 63. Determine -6*l(x) + 17*v(x).\nAnswer: 334*x**3 - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find h such that -2*h**2\/9 - 350781992*h\/9 - 15381000738936008\/9 = 0.\nAnswer: -87695498","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 4 - 1. Let c = 6 - 4. Let m = c - 5. Sort -4, m, o in increasing order.\nAnswer: -4, m, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine d, given that 1\/3*d**4 + 4 - 13\/3*d**2 - 3*d**3 + 8\/3*d + 1\/3*d**5 = 0.\nAnswer: -2, -1, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 97 - 69. Suppose 15 + 69 = f*p. Solve 0 = -5*i - p*t, -2*t = -5*i - 0*i for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 1617957120?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 2508\/187*4403\/(-518)\nAnswer: -114","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(39)*-4)\/(sqrt(135)\/sqrt(5) + sqrt(3)) + -5 + (-4 + sqrt(13) - sqrt(13))**2 + (sqrt(156) + sqrt(156)*3 - sqrt(156))\/sqrt(12) + -5.\nAnswer: 6 + 4*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) be the second derivative of -h**3\/6 + 4*h**2 + 2*h. Let z be u(4). Let y be (-1)\/4 - (-29)\/z. Solve -y*t = -4*t - 12 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence iiig when four letters picked without replacement from {i: 13, g: 6}.\nAnswer: 143\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*a + 5*p = 35, -2*p + 36 - 3 = -5*a for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*t**5 - 6*t**5 - 2*t**5 + (-3*t**2 + 3*t**2 - 2*t**3)*(-3*t**2 + 0*t**2 + 4*t**2))*(13 - 33 - 28).\nAnswer: 384*t**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -32 - 7 = -3*f. Does 6 divide f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find x, given that 3*x**4 - 1060830*x**3\/7 + 13395933849*x**2\/7 + 30624213672*x\/7 + 7656204972\/7 = 0.\nAnswer: -2, -2\/7, 25259","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -63*u - 483 = 62 + 589 for u.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1926 and 5346.\nAnswer: 572022","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b\/(((b\/(b\/b**(-1)))\/b)\/b)*b)**(1\/76)*(b**(-1\/4))**(28\/5) assuming b is positive.\nAnswer: b**(-507\/380)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = 18*a - 173. Determine y(10).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ywwwiyjwywyww. Give prob of picking 1 j, 1 w, 1 y, and 1 i.\nAnswer: 28\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Divide -593 by -101.\nAnswer: 593\/101","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 8 - -23. Suppose -r = -4*s + 3*j, 0 = s + 3*s + 2*j - 46. Calculate the remainder when (0 - (-28)\/(-2))*-2 is divided by s.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:30 PM and 9:50 PM?\nAnswer: 260","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j = 258 + 182. Let x be 7\/(-35) + (-1)\/(-5). Suppose x*v = 4*v - j. Is 11 a factor of v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -10363 times 45583?\nAnswer: -472376629","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from eioiiareerrreeerr. Give prob of picking 1 a and 1 e.\nAnswer: 3\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = c, -4 + 100 = 5*i + 2*c. Calculate the smallest common multiple of 7 and i.\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 6*s**3\/19 - 70*s**2\/19 + 192*s\/19 + 72\/19.\nAnswer: 2*(s - 6)**2*(3*s + 1)\/19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 8.524 + -6.29. Round z to one decimal place.\nAnswer: 2.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u - 8 = 0, -3*y - 10*u = -7*u + 9. Which is the biggest value? (a) y (b) -16 (c) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 177.3 + -177. What is the closest to 1 in 4, i, -0.7?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1192457038 a multiple of 651?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 104730 (base 8) in base 4?\nAnswer: 20213120","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -29*2*(0 - 3). Suppose -538 - q = -4*p. Is p a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = u**2 - 171*u + 3580. Give z(26).\nAnswer: -190","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3 + 35 = -8*r for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ivyvtbbuu. What is prob of sequence ivy?\nAnswer: 1\/252","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 2, -1\/2, -697057 in descending order.\nAnswer: 2, -1\/2, -3, -697057","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -74\/9 or 498348?\nAnswer: 498348","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 47 - -1224?\nAnswer: 126b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 20600?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 10 - 15. Let a be (-323)\/z + (-2)\/(-5). Suppose 0 = -3*m + 2*p + 35 + a, -3*p = 6. List the prime factors of m.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 817.6 rounded to the nearest one hundred?\nAnswer: 800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1133498?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 1629862961 to the power of 1\/4, to the nearest integer?\nAnswer: 201","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = -11*l**2 + 61*l - 8. Determine r(6).\nAnswer: -38","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4350150050?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -3541*m**4 + 2*m + 736 wrt m.\nAnswer: -42492*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = 21*j**2 - 7*j + 29. Is x(6) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 39380 a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Total of 2860182 and -389.12.\nAnswer: 2859792.88","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t + u + 113 = -20, -t + 4*u + 52 = 0. Solve 0 = h - 2, t*h - 27*h = -n + 11 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 87 = -5*i - 3*z + 50, 5*z = 4*i for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence dcd when three letters picked without replacement from {d: 3, p: 2, c: 5}.\nAnswer: 1\/24","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -83.7 * -0.1\nAnswer: 8.37","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -11 times 87526\nAnswer: -962786","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7026038?\nAnswer: 2, 3513019","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 42*j - 29012 = -3938. What is the tens digit of j?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 643 + -603. Solve 0 = 2*y + 8*y - n for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j + 5*k + 214 = 0, -30*j = -27*j + 5*k - 254. Calculate the greatest common factor of 39 and j.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-15)\/4 - (-12)\/(-48). Sort -3, -5, m in ascending order.\nAnswer: -5, m, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 15*-2*(-2)\/10. Let f(m) = 3*m + 0*m - 2*m - 6*m. Let z(l) = -11*l. What is h*z(c) - 13*f(c)?\nAnswer: -c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: ((-43)\/(-387))\/(23*(-19)\/(-28842))\nAnswer: 22\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.1 and -24662.\nAnswer: -2466.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Work out 5.22 * -2.1.\nAnswer: -10.962","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u*u**40*u*u*u\/(u*u**(-15\/8)\/u)*u**30*u*u\/((u**(-4\/13)*u)\/u*u))**(2\/67) assuming u is positive.\nAnswer: u**(8027\/3484)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*d**2 - 3*d**2 + 0*d**2 + (d + 2 - 2)*(-d + 2*d - 2*d) + (7*d - 7*d + 42*d)*(d - 4*d + d).\nAnswer: -88*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.2 in 1\/2, -4, -3, -1\/3?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -566 - 3482 = 184*t for t.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -164*p**3 - 483*p**3 - 704*p**3.\nAnswer: -1351*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -545333 - 14?\nAnswer: -545351","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -274 + 76 = -2*w - 2*g, -4*g - 450 = -5*w. Is w a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -2d96 + -3?\nAnswer: -2d99","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:08 AM and 4:32 AM?\nAnswer: 144","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = 4*t**2 - 7*t - 8. Let k be r(4). What is the common denominator of (7 - 161\/k)*(-44)\/21 and 131\/12?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 66 + -36. Let u be 246\/k + 1\/(-5). Solve 4*d + 12 = -u for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1166700 rounded to the nearest 100000?\nAnswer: -1200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 1870?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.2 - -0.6. Let s = -63.8 - -59. Let i = s - -0.8. Sort i, y, 2 in decreasing order.\nAnswer: 2, y, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = 2*q**2 + 2*q + 3. Let o be u(-3). Suppose 0 = 4*n - 9*n + o. Let k = -1 + n. Solve p - 3 = -k for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*i**3 - 3*i**3 + 5*i**3 + 2*i**3.\nAnswer: -i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 1\/4, -0.2, 27\/8, -1, -3\/5, -0.96, -1.44?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.1716353 + 889.\nAnswer: 888.8283647","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 62999957*j = 62999805*j - 18392 for j.\nAnswer: -121","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -52*h**2 + 5*h - 5*h + 9*h**2 - 54.\nAnswer: -43*h**2 - 54","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 6\/5*30\/(-9). Let h(b) = -2*b - 6. Let z be h(r). Solve 0 = t - 3*j + 10, -12 = 4*t - z*t - 2*j for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 237 and 3.\nAnswer: 237","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 752 * 0.1\nAnswer: 75.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 429 = 7*y - 915. Suppose -22*t = -6*t - y. Calculate the remainder when 56 is divided by t.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 96*n - 89*n = 406. Let z = 265 - n. Does 23 divide z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) be the third derivative of l**4\/8 - 7*l**3\/6 - 3*l**2. What is the tens digit of b(6)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 39073 = 634*q + 311*q - 57317 for q.\nAnswer: 102","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 52653 and 669?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_test"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = -28*r**2 + 11*r - 9. Let s be g(-5). Let x = -74 - s. Suppose -3*p + 1221 = 5*m + 55, 3*m = -5*p + x. Is m prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 11 + -5. Suppose -15 - 5 = -5*p. Suppose -5*a + a + 2*b = -74, p*a + 5*b = 39. What is the remainder when a is divided by s?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/5 in -0.2, -3\/4, -5, -2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 66 a factor of 33971?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Determine z, given that -15*z**4 - 87*z**3 - 762*z**2\/5 - 84*z - 72\/5 = 0.\nAnswer: -3, -2, -2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = 14*z. Let o be f(0). Suppose 5*p - 1281 + 141 = o. Is 19 a factor of p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = n**3 + 4*n**2 + 59*n + 226. Let v be j(-4). Which is the third smallest value? (a) 0.12 (b) v (c) -2\/15 (d) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*c - 246*c**2 - 2*c + 6*c + 2*c.\nAnswer: -246*c**2 + 13*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = v**3 + 5*v**2 + v + 12. Let j(r) = -2*r**2 - 14*r - 17. Let l be j(-6). Let k be q(l). Solve k = 4*i + 3 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:29 AM and 9:29 PM?\nAnswer: 660","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -4 - -117?\nAnswer: 113","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(125))**2 + (((sqrt(5) + sqrt(5) + 1)*6)**2 - sqrt(5)) + sqrt(5) - (1*(sqrt(320) - (0 + sqrt(320)) - sqrt(320)))**2.\nAnswer: 144*sqrt(5) + 936","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -20636 + 20672. Let j(m) be the third derivative of 1\/60*m**5 + g*m**2 + 0*m + 0 + 0*m**4 + 0*m**3. Let i(w) = -3*w. Give j(i(a)).\nAnswer: 9*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 2 + -3. Let z = -82.3 + 2.3. Let g = z + 77. What is the nearest to 0.1 in g, -2, k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -5699112, -5699116, -5699122, -5699130, -5699140, -5699152?\n\"Answer: -c**2 - c - 5699110","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b**2\/2 - b + 1\/2 = 0. Calculate b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-126)\/(-24) + -5)\/(-11 - (-5139)\/468).\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = -120*k - 13. Let q(n) = -68*n - 6. What is -7*q(g) + 3*x(g)?\nAnswer: 116*g + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 20.952315 seconds in minutes?\nAnswer: 0.34920525","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = 31*h**2 - 33*h - 63. Is z(-5) a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange w - 27*w + 2*w - 5*w to m + f*w and give f.\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 2, f: 1}. What is prob of sequence fd?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 9731560 a multiple of 904?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -67 + 68. Let g = -6 - -6.01. Let y = 0.02 - g. Which is the second smallest value? (a) d (b) 0 (c) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = -65*t**2 + 40*t + 40. Let v(s) = 5*s**2 - 3*s - 3. Let u(d) = 3*c(d) + 40*v(d). Let l(f) be the first derivative of 6*f**3 + 427. What is l(u(b))?\nAnswer: 450*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) be the third derivative of -h**8\/2520 + h**6\/540 - 16*h**3\/3 - 7*h**2. Let v(i) be the first derivative of u(i). Factor v(p).\nAnswer: -2*p**2*(p - 1)*(p + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1*(-1)\/2 - (-440)\/1584.\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -e (base 15) in base 16?\nAnswer: -e","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*sqrt(13)*1*3.\nAnswer: 3*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(-3)\/(j\/(j\/(j*j\/(j\/j**(-2))))))\/((j*j**(-1\/4))\/j*j**(-9))*j*j**(-7)*(j\/(j*j**(-8\/7)))\/j*j**(-5)\/j*j*j*j**(5\/2) assuming j is positive.\nAnswer: j**(-3\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -1\/3, 3\/5, -59419928, -0.5, 0.4?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 792 is divided by 25.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -10 + 302330421?\nAnswer: 302330411","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-7)\/(1764\/(-40)))\/((-45)\/(6885\/(-34))).\nAnswer: 5\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -12\/61, -1\/14, -2, 55 in decreasing order.\nAnswer: 55, -1\/14, -12\/61, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h + 3*j - 20043 = 0, 0 = -7*h + 6*h + 5*j + 9989. List the prime factors of h.\nAnswer: 2, 3, 1669","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o**2\/8 + 16642297*o\/4 - 276966049436209\/8 = 0. Calculate o.\nAnswer: 16642297","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = -f**3 - 10*f**2 - 10*f - 2. Let o be q(-9). Solve 0 = -o*n + 3*n for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 93\/5 - 439\/15. Calculate the common denominator of -31\/51 and u.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.20345 to two dps.\nAnswer: 0.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 197 + -194. What is the second biggest value in 2, 2\/5, z?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 147 a factor of 9964983?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -3595 - -7276. What is the tens digit of m?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**9*g\/((g*g\/g**(-3\/10))\/g))**(-1\/8)\/((g*(g\/(g*g\/(g**(-2\/9)\/g)))\/g)**(-19))**(-4\/3) assuming g is positive.\nAnswer: g**(119251\/2160)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -24*b - 3469 + 417181. What is the ten thousands digit of b?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((21\/5)\/(-7))\/((-136)\/255*3)?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express -48*u**3 - 72*u**3 + 84*u**3 + 7 as s*u**3 + i*u**2 + n*u + w and give w.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 108.6*-5255\nAnswer: -570693","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = -u**2 - 6*u + 4. Let r be p(-6). Let f(g) = -3*g + 186 - 186 + 6*g - g**2. Determine f(r).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 54509 or -1742?\nAnswer: 54509","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -270, -1068, -2398, -4260, -6654, -9580, -13038?\n\"Answer: -266*z**2 - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -11 + 10 - 3*n**2 + 3*n**2 + 26*n**3 to l*n**2 + v*n + d*n**3 + k and give v.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = -701*x - 16. Let p(v) = 176*v + 4. Give -6*o(s) - 26*p(s).\nAnswer: -370*s - 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -50, -281, -666, -1205, -1898, -2745, -3746?\n\"Answer: -77*w**2 + 27","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = 7*t**2 + 3*t - 8. Let g(n) = 6*n**2 + 2*n - 7. Let l(j) = 4*g(j) - 3*i(j). Calculate the remainder when l(3) is divided by 7.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 1741*o**4 - 52*o**3 + 7112122*o**2.\nAnswer: 41784*o - 312","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(26)\/((sqrt(4)\/sqrt(2) + sqrt(2))*2).\nAnswer: sqrt(13)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 46921 rounded to the nearest 10000?\nAnswer: 50000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round 8988.664 to the nearest 10.\nAnswer: 8990","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 26 a factor of 15210?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -119\/7327926 and 5\/27.\nAnswer: 21983778","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is -438074750 > -438074751?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 take away 585278582236?\nAnswer: -585278582231","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 8608373 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = -12*p**2 - 5*p - 6. Let j(w) = -11*w**2 - 5*w - 6. Let f(g) = -6*j(g) + 5*y(g). What are the prime factors of f(-3)?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-12)\/(-15)*1485\/(-792)\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = 3*t - 3. Suppose -3*l + 5*o + 6 = -5*l, 4*o + 12 = 2*l. Let v(d) = -10*d + 26. Let p be v(l). Determine b(p).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2512*o + 3442*o - 62 + 62 + 3883*o to the form g + n*o and give g.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -14244, -14077, -13910?\n\"Answer: 167*y - 14411","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.0046 and 0.5.\nAnswer: -0.0023","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) be the second derivative of w**7\/189 - w**6\/135 - w**5\/90 + w**4\/54 + 7*w. Suppose t(q) = 0. Calculate q.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gvvt when four letters picked without replacement from tgtvvvv.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 277489812 to the power of 1\/3, to the nearest integer?\nAnswer: 652","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 25\/4 of a micrometer in nanometers?\nAnswer: 6250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -109\/24 and 29\/3820376.\nAnswer: 11461128","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 135, 1\/4 in decreasing order.\nAnswer: 135, 4, 1\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.2? (a) 3.8 (b) -3 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 957 - 952. Which is the third smallest value? (a) 0.5 (b) k (c) -1 (d) 27\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -118? (a) 4 (b) 0.2914 (c) -2.9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: ((-378)\/(-21) - 14)\/(3 + 0)\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 59799938789 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) be the third derivative of -a**5\/15 + 3*a**4\/8 + a**2. Let r(u) be the second derivative of 139*u + 0 - 1\/3*u**3 + 0*u**2. Give v(r(s)).\nAnswer: -16*s**2 - 18*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = -3*w + 5*b - 3*b, -b = -4*w - 16. Let o be (w\/(-5))\/((-6)\/(-345)). Suppose -4*g + 3*n + 157 = 0, -g + 5*n = 2*n - o. Is g prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 453024244 + 5?\nAnswer: 453024253","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18 = 5*u + 4*s, -37*u + 34*u = -3*s - 27 for u.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:48 PM and 4:48 AM?\nAnswer: 480","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 233.6723 minutes in seconds?\nAnswer: 14020.338","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express -277*r**2 - 1377*r + 1377*r + 5*r**3 - 4*r**3 in the form b*r**3 + q*r + p*r**2 + x and give b.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence uw when two letters picked without replacement from iuwes.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -10 - -7 - (0 + -7). Suppose 0 = 5*w - w - 3*b - 161, -196 = -o*w - 4*b. What is the units digit of w?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = f**2 + 6*f - 6. Let x be d(-7). Suppose 5*j = 4*y - 12, 2*y - 7 = 4*j - 1. Suppose -b + 22 + x = j. What is the tens digit of b?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {o: 2, e: 2, v: 3, f: 4, l: 2}. What is prob of sequence fov?\nAnswer: 2\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**2*y)\/y*(y*y**(-3\/11))\/y*y**11\/y*y\/(y*y**(2\/11)*y) assuming y is positive.\nAnswer: y**(116\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is one quarter of a tonne in kilograms?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = -3*j**2. Suppose -1790 = 29*v - 1848. Let g(y) be the third derivative of 0*y**4 + 0*y**3 + 3*y**v + 0 + 0*y - 13\/60*y**5. Give g(f(r)).\nAnswer: -117*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-155454)\/(-18))\/(2 - 3739\/1869). Let f = w - -8691307. Round f to the nearest one million.\nAnswer: -7000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 346392 divided by -86598.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1284 is divided by 1259.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = k**3 - 2*k**2 - 3*k. Let p be f(3). Solve p = -3*n + a - 9, n + a = -0 + 1 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = -9*g - 140. Let d be v(-16). Solve -d*o + 0*o = 4*c, -5*c - 30 = -o for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is a11 + -4?\nAnswer: a08","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.01485672244 to 2 decimal places.\nAnswer: -0.01","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 378931764?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: (-1456)\/(-78)*(25\/(-125))\/(((-4)\/15)\/2)\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 30*x + 16 = -25*x + 55*x + 4*h, 0 = -3*x + 4*h + 20 for x.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) be the second derivative of 1\/6*q**3 + 0 + q - 6*q**2. Let u be f(11). What is the closest to 2\/7 in 2, 2\/7, u?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -4 and -5848212.\nAnswer: 23392848","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**4*z**1)\/(((z**5*z)\/z)\/(((z\/(z*z*(z**(-3\/11)*z)\/z*z))\/z)\/z))*(z\/(z\/z**(3\/2))*z**(1\/11)*z)\/(z**2*z**(-3)) assuming z is positive.\nAnswer: z**(-3\/22)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = -q**3 + 3*q**2 + 8*q - 11. Let z = -7 - -11. Calculate the least common multiple of n(z) and 9.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(sqrt(48)\/(sqrt(64)\/sqrt(4) - sqrt(4)))\/((2*sqrt(66))\/sqrt(11) + -1*sqrt(486)).\nAnswer: 5*sqrt(2)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 16 - (1625\/(-225) - (-2)\/9). Solve 13*p = -i - 3 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -34072\/1359 - 308\/151. Let b = 247\/9 + p. Determine y, given that 5\/3*y**2 - b*y + 1\/3*y**3 - 5\/3 = 0.\nAnswer: -5, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 137\/7200 and -74\/4185.\nAnswer: 669600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -0.284699 times -0.1\nAnswer: 0.0284699","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1 + 2*x**2 + 0*x**2 + x**4 - 3*x**3 - 3*x**2 + 4 to m*x**4 + o + j*x**2 + z*x**3 + n*x and give o.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = h**3 + 5*h**2 + 1187*h + 10712. Determine j(-9).\nAnswer: -295","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 n, 1 u, and 1 c when three letters picked without replacement from ccjncppunnjej?\nAnswer: 9\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*d - 4*d + 54 = 0. Suppose -44*s - d = -43*s, 5*r + 4*s - 13 = 0. Solve 7 + r = 4*k for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5348 is divided by 171.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) be the second derivative of s**3\/6 + 7*s**2\/2 + s. Suppose 1 = 2*k - 7. Suppose k*f - 6*f = 8. What is m(f)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1024 - -1031. Let p(f) be the third derivative of -1\/70*f**a + 0*f + 0*f**6 + 3\/20*f**5 - f**2 + 1\/4*f**4 + 0 + 0*f**3. Factor p(n).\nAnswer: -3*n*(n - 2)*(n + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3280622.\nAnswer: 2, 1640311","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6566.\nAnswer: 2, 7, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 2 - 204144?\nAnswer: -204142","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n - 41 = -61. Suppose 3 = n*m + q, -4*m + q = -1 - 4. Factor 2*z**4 + m - 1 - 2*z**3 - 4*z**4.\nAnswer: -2*z**3*(z + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*h - 4*h = -164. Let z(r) = -534*r + 1. Let o be z(5). Let s = o - -21427\/8. What is the common denominator of h and s?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 3430649 and 821423.\nAnswer: 58321033","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -4 or 4\/3?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7 = -f + 2*g, -4*g + 2*g = -5*f - 3 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 663 minutes before 10:41 PM?\nAnswer: 11:38 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: (-4 - 3) + 9 + 0 + 0\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 11984591?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 272 a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 6\/(-126)*-6 - (-7985)\/7 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find c, given that -c**5 - 3308*c**4 + 69837*c**3 - 240120*c**2 - 1438128*c = 0.\nAnswer: -3329, -3, 0, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(2\/13)\/((t*t**5)\/t))\/(t**(10\/7)\/t**(6\/7)) assuming t is positive.\nAnswer: t**(-493\/91)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 167587.93655 + -0.3\nAnswer: 167587.63655","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 598313 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 194 - 189. Suppose -2*u - 1 = -o, -2*o + 5*o + c*u - 14 = 0. Let v = 10 - 7. Is v equal to o?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = q**3 + 3*q**2 + q + 2. Let b be r(-2). Find the third derivative of 41*z + 5*z**4 - 41*z + 2*z**2 - 13*z**b wrt z.\nAnswer: -192*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -8.32 + 6.59. Let v = t + -70.57. Round v to 0 dps.\nAnswer: -72","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = 3*v + 4. Let z(q) = q + 2. What is -6*d(p) + 15*z(p)?\nAnswer: -3*p + 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*((sqrt(6)\/sqrt(2))**2*-5 - -5*sqrt(3)*4).\nAnswer: -20*sqrt(3) + 15","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (65\/(-2028)*-2)\/(31\/372).\nAnswer: 10\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -0.2 (b) 1.02 (c) -27 (d) -0.3 (e) -2\/55 (f) -3 (g) 3\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 r, 1 p, and 1 c when three letters picked without replacement from pqppyrrcvyppqqqpp.\nAnswer: 7\/340","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 16.2 - 16. What is the closest to s in 2, 6, -4?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (12 - 4) + 1 + -4. Suppose r*j + 1 = 21. Let i = 1.94 + 0.06. Which is the closest to i? (a) j (b) -2\/5 (c) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 190 divide 9712?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 149062490?\nAnswer: 2, 5, 829, 17981","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6 - 5893134.\nAnswer: -5893140","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -194, -229, -258, -281?\n\"Answer: 3*i**2 - 44*i - 153","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 7, m: 3}. What is prob of picking 2 e?\nAnswer: 7\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 33305698 to the nearest integer?\nAnswer: 322","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-5 + 0 - 2)*(c + 4*c - 2*c) - 23*c + 705 - 705)*(1 + 6 - 4).\nAnswer: -132*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 10578, 10559, 10536, 10515, 10502, 10503, 10524?\nAnswer: 10571","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 2205 and 645.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -292 - -169. Let j = 299 + z. Does 22 divide j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-10*p**2 - 311*p**2 - 208*p**2)*(-8 + 50 + 6) to j*p**2 + x + k*p and give j.\nAnswer: -25392","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -553 - -1068. Let r = j + -510. Calculate the greatest common divisor of 400 and r.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 143 != 24134\/169?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -20299 divided by -2.\nAnswer: 20299\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 5\/4 in -16, -3\/8, -2\/13, 69?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 72134153593\/72 - 1001882039. Let w = 18802 + t. Let n = 1\/72 - w. What is the common denominator of -23\/3 and n?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 729055791 to the nearest integer?\nAnswer: 900","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 49439*o - 1566 = 49468*o for o.\nAnswer: -54","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 2803934402 + 1.46\nAnswer: 2803934403.46","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -781 + -380. Let s = f - -1672. What are the prime factors of s?\nAnswer: 7, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x**5\/6 - 5*x**4 - 227*x**3\/6 + 1672*x**2 - 30424*x\/3 + 8512 = 0. Calculate x.\nAnswer: -19, 1, 8, 12, 28","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1989551?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 divided by 22110730?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = -2*u**2 - 3*u + 2. What is d(-3)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 3432?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 5 + 3 + 1 + 1 - 4 + (4 - 5 - 7)*(4 - 3 - 2))*(-v**3 + 0*v**2 + 0*v**2) - 5*v**3 - v**3 + 5*v**3.\nAnswer: -6*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 927526 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-8)\/45)\/(13\/(520\/16)).\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2 - 5) + -8 + 21 + 2?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 55*k - 49*k + 1638 = 180. Which is the second smallest value? (a) 0.6 (b) k (c) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 4 and 39.2.\nAnswer: 156.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -22657065 divided by 4531413.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4657 is divided by 125.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 8 - 133?\nAnswer: -125","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -7 + -27. Let b(t) = -t**3 - 6*t**2 - 5*t + 7. What is the remainder when 3\/(-6)*(d + -4) is divided by b(-5)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) be the second derivative of 3 + 2\/25*t**6 - 9\/25*t**5 + 33*t + 1\/10*t**4 - 9\/5*t**2 + 1\/70*t**7 + 11\/10*t**3. Factor u(y).\nAnswer: 3*(y - 1)**3*(y + 1)*(y + 6)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 153, 1189, 4003, 9483, 18517, 31993?\nAnswer: 50799","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = h**3 + 9*h**2 - 218*h - 229. Determine i(-24).\nAnswer: -3637","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r**(-13)\/r**24)**(-2))**(5\/18) assuming r is positive.\nAnswer: r**(185\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = -95*i**2 + 2*i - 1. Let x be p(1). Let u be (-6)\/(-21) - x\/14. Suppose 6*s - 5*s - u = 0. Solve -4*k + r + s - 1 = 0, 3*r - 14 = -4*k for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -1\/3861 and -29\/9009.\nAnswer: 27027","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 12 divided by -1993?\nAnswer: -12\/1993","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -23 - 801279634.\nAnswer: -801279657","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: (18 - 15 - (59 + -65)) + (-29 + -2 - -1)\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0.2, 5\/14, -1\/6, 0?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -4, -3\/2, -0.4, -9?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is -14181771 less than -14181770?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3834 is divided by 1868.\nAnswer: 98","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express -7*h**2 + 0*h - 61*h**4 + 2 + 55*h**4 + 6*h**2 + 2*h as b*h + c*h**2 + v + w*h**3 + z*h**4 and give c.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -38 = -17*o + 82 + 186. What is the highest common factor of 450 and o?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*d = 43 - 76 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 1\/5 + 32\/(-10). Let o = 3 - m. What are the prime factors of o?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r + o - 18 = 0, -r - 5*o + 12 = -2. Suppose 0*n + 8 = r*n. Solve -2*u**2 + 4*u**2 - u**5 + n*u**3 - 3 - u**4 - u + 2 = 0 for u.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -2.77 and -2473.\nAnswer: -2475.77","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 118*p - 4149*p**3 + 4149*p**3 - 16*p**2 + 29*p**5 + 17*p**2 - 2655*p**5 - 2 wrt p.\nAnswer: -157560*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -32275 from -489977349.\nAnswer: -489945074","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 0.16017*1\nAnswer: 0.16017","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -47\/9 and 42\/227.\nAnswer: 2043","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a - 8 = 2*a. Suppose a*o = -13*o + 17. Solve -o + 26 = 5*g for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -316*f - 42*f - 869*f - 306*f.\nAnswer: -1533*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 11689 - 11617. What is the remainder when 7918 is divided by g?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 76*y - 77*y = a - 145, 0 = -5*a - 2*y + 719. Solve 4*n + 131 = a for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -147a3c (base 14) to base 16\nAnswer: -ae006","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = 4*p**2 - 7*p + 916. Is y(22) a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1 divided by 36\nAnswer: -1\/36","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify c**(-1\/5)*(c\/((c*c**(2\/11))\/c))\/c*c**3\/((c**4*c)\/c) assuming c is positive.\nAnswer: c**(-76\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify p**(-10)*(p*p**28*p)\/p assuming p is positive.\nAnswer: p**19","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 32 + 20*g + 6 - 20 to the form b*g + h and give h.\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 52266 a multiple of 427?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 882724449*m**2 - 1055695018*m.\nAnswer: 1765448898","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.2 - 4.2. Let p = -0.96 + 1.16. What is the nearest to j in p, 0, 2\/3?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 37 - 39. Let k(s) = -2*s - 2. Let g be k(n). Solve -g = 5*z + 3 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 9 - 7. Suppose 3*u = a*u - 12. Let l = 21 - u. Is l a multiple of 20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find c, given that c**2\/7 + 36*c\/7 - 352\/7 = 0.\nAnswer: -44, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 2\/7 (b) -0.4 (c) 2 (d) -1276\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = -2*i**2 - 81*i. Let g(y) = 4*y. Give g(p(d)).\nAnswer: -8*d**2 - 324*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1135553881 to the nearest integer?\nAnswer: 1043","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 10850467?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 386 minutes before 7:44 AM?\nAnswer: 1:18 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -741, -1628, -2837, -4530, -6869, -10016, -14133?\nAnswer: -19382","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-6)\/5)\/3 + ((-935)\/100)\/11?\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 68289?\nAnswer: 3, 13, 17, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -0.16977 + 91.4\nAnswer: 91.23023","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Add -2.635 and -2.3.\nAnswer: -4.935","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 749454095?\nAnswer: 5, 13, 17, 43, 15773","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 21 a factor of 719565?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is -75 - -74 - (0 - 42740) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -16*n**2 + 91*n**4 - 94*n**4 - 7*n**3 + 5*n**3 - 49*n**2 to l*n**4 + i + k*n**2 + s*n**3 + y*n and give s.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 13 - 7. Let k = -775.6 - -776. Suppose 2*w - j - 3 = 0, -w + j + 0*j = 0. What is the biggest value in -4, w, s, k?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 169997329 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r = g - 2229, 3*g - 1677 = -3*r + 4*g. Factor -2*u**5 + 2*u**3 + r*u - 558*u.\nAnswer: -2*u**3*(u - 1)*(u + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = 59*n**2 + 3 - 3 - 18*n**2 - 36*n**2. Let d(y) = -y**3 + 8*y**2 - 4*y - 17. Let g be d(7). Let m(p) = -10*p**2 + 4*p**2 + 4 - g. Give i(m(x)).\nAnswer: 180*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 257 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: Calculate -25 - (-46 + (51 - -25)).\nAnswer: -55","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 7933.32 milligrams in tonnes?\nAnswer: 0.00000793332","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 135 minutes after 11:05 PM?\nAnswer: 1:20 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*(-5 + (sqrt(567) - (sqrt(567) + 1)) + sqrt(567)) + 1)**2 + -4*((2 + 2*sqrt(567))**2 - sqrt(567)*2*-1).\nAnswer: -6699 - 756*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 135 minutes after 12:52 AM?\nAnswer: 3:07 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = -3607*n**3 + 8*n**2 - 1244*n - 2. Let o(r) = -3606*r**3 + 6*r**2 - 1240*r - 1. Let j(y) = 3*l(y) - 4*o(y). Find the second derivative of j(c) wrt c.\nAnswer: 21618*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = -2*a**3 - a**2 + 9*a**3 + a - a**3 - 4*a**3. Suppose 0 = f - 6*f + 10. Is n(f) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from copsa. What is prob of picking 1 p and 1 c?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-3)\/(-4) + 4704\/(-49). Let z = t - -95. Let k = 14.2 - 2.2. Which is the biggest value? (a) k (b) -4 (c) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -24, -102, -236, -426, -672?\nAnswer: -974","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -67\/72 - -1\/24. Calculate the common denominator of m and -39\/7.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 10308679?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 13*(-720)\/(-520)*(54\/(-9))\/(-8154).\nAnswer: 2\/151","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 10023221 - 1230?\nAnswer: 10021331","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 4\/2 + 12\/3. Suppose 2*a - 5*l + w = -a, -4*l = -5*a + 3. Suppose -5*h - 3 = -2*z, -a*z = 2*z - 4*h - 33. What is the units digit of z?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -636916.69 * 4.\nAnswer: -2547666.76","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = 5. Let j(l) = -l - 11. Determine 5*c(n) + 2*j(n).\nAnswer: -2*n + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -28 = -263*q + 261*q. Calculate the greatest common factor of 308 and q.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r + 2*r - 105 = 0. Let m(z) = z**2 - 19*z - 202. Let j be m(27). Calculate the greatest common factor of j and r.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = -46 - 7*j + 19*j - 14*j + 7. Let t be m(-22). Solve -3*k + 12 = c, -3*c - t*k + 20 = -6*c for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:09 PM and 10:17 PM?\nAnswer: 428","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = -2 - 3 - 2*p - p**2 + 5 + 1. Determine y(-3).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 6 and 465888?\nAnswer: 465888","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from yvvvvyvvvvvy. Give prob of picking 3 v.\nAnswer: 21\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -21 - -21. Suppose p = 2*n - 3*n + 2. Suppose 0 = r + 4*a + 3, 5*r - 42 = -2*a + a. Solve -2*k = -d + r, -2*d = -n*k - 14 + 2 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = j + 1. Let b be r(1). Let d = -10 - 4. Let c = 16 + d. Solve h = c + b for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*3*(sqrt(175) + ((-2*sqrt(175) - sqrt(175)) + -3)**2)*-1 + -4.\nAnswer: 1425*sqrt(7) + 23756","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 737852.5 millilitres?\nAnswer: 737.8525","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 604411889 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -18081, -18107, -18133?\nAnswer: -18159","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 7325635 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*(-3*1*sqrt(832) + 6*sqrt(832)*-1) - (((2*sqrt(143))\/sqrt(11) - (sqrt(13) - (sqrt(13) + 2 + sqrt(13) + -2) - sqrt(13))) + -4))**2.\nAnswer: 544*sqrt(13) + 60128","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = w**2 + w - 60. What is the smallest common multiple of m(12) and 1?\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -14189976552 - 0.06\nAnswer: -14189976552.06","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0447705735 rounded to four dps?\nAnswer: -0.0448","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 7\/15 of a hour?\nAnswer: 1680","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + ((((sqrt(11) + sqrt(11)*2)*-5 - (1 + sqrt(11) + 0)) + 4)*-4 + 0)**2.\nAnswer: -1536*sqrt(11) + 45205","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-1267)\/(-21) - 4\/(-6). Suppose -4*i = i + 5*f, -3*i - 2*f + 5 = 0. Suppose -i*j + 311 - c = 0. What is the units digit of j?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 1687*u**2 - 191*u - 755876.\nAnswer: 3374*u - 191","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:39 PM and 7:00 AM?\nAnswer: 501","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = l - 6. Let c be g(-17). Is c >= -23?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 63*b**4 + b**2 + 0*b + 56*b**4 - 106*b**4 + 2*b to z + r*b**4 + f*b**3 + k*b**2 + i*b and give k.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y**2\/2 - 16*y + 33\/2 = 0. Calculate y.\nAnswer: -33, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 767539*b**2*p**3 + b*p**3 + 2*b*p**2 + 7*b + 60*p**3 + p wrt b.\nAnswer: 1535078*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.5*1.406.\nAnswer: -0.703","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zpz when three letters picked without replacement from xkkzzp.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*n + n**2 - 3*n)*(2 + 2 - 2)*(2*n**2 - 4*n**2 + 4*n**2).\nAnswer: 4*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round 102.832096 to two dps.\nAnswer: 102.83","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 66146202?\nAnswer: 2, 3, 41, 47, 1907","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.04 in -0.3, 1\/6, -4?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1 + 0 + t**2 + 4*t**2 + t**4 - 3*t - 4*t**2 to c*t + w*t**4 + n*t**3 + a*t**2 + v and give v.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1352239 is divided by 157.\nAnswer: 155","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r + 3*i = -24, -r - 2*i - i - 6 = 0. Suppose 2*o - r + 11 = 4*p, -4*p + 8 = -o. Suppose 0 = -a - 0*a + p. What are the prime factors of a?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = -3*b**2 + 48 - 22 - 2*b - 25. Calculate o(-2).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 5 and 93493.5.\nAnswer: 467467.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v - 10 = v + 4*i, 3*v + i = 2. Let m be (-4 + 3)*-5 + -2. Sort v, m, 4 in descending order.\nAnswer: 4, m, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = 3*b**3 + b**2 + 2*b + 13. Let o be a(-4). Let k = o + 174. Solve 0 = -f + 4*w + 19, -k*w - 17 = 3*f + 1 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 b and 1 d when two letters picked without replacement from {b: 5, d: 7, j: 7}?\nAnswer: 35\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 251 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = -r + 10. What is the remainder when 368\/(-24)*(-6)\/4 is divided by u(4)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -11602469 divided by 18.\nAnswer: -11602469\/18","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((q - q + q)*(3*q - 4*q + 2*q) + q**2 + q**2 - q**2)*(-6*q - 14*q**2 + 6*q) to the form j*q**2 + l*q**4 + k*q**3 + f*q + x and give l.\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = 2*t**3 - 2*t**2 + 1. Let g = 4 - 2. Let q be y(g). Suppose -q = -6*u + 3*u. Calculate the highest common divisor of u and 27.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 264 minutes after 2:11 PM?\nAnswer: 6:35 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2\/390)\/((-50)\/26250*-35).\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -65\/4632 and -23\/12.\nAnswer: 4632","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -202 - -193. Let u(l) = 3*l + 31. Calculate u(f).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 46 in 4, -0.05, 15\/7?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = -k**2 + 8*k - 14. Let a be m(4). What is the remainder when a - (-4)\/12*(326 - 5) is divided by 37?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-376)\/20*20\/(-8). Suppose -t = -5*a + 18. What is the tens digit of a?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 49, 0, 2, -4, -118, -2 in ascending order.\nAnswer: -118, -4, -2, 0, 2, 49","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -634 - -3?\nAnswer: -631","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 113 (b) 2 (c) 187 (d) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = 117*q**3 - 15*q**2 + 11*q - 67*q**3 - 15 + 4*q - 68*q**3. Let p(l) = -l**3 - l**2 + l - 1. What is 3*j(y) - 45*p(y)?\nAnswer: -9*y**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is -522 less than or equal to -705?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -8578*q**3 - 7*q**2 + 865664*q wrt q?\nAnswer: -51468*q - 14","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rrvvvrrrrvvvrrvr. What is prob of sequence rv?\nAnswer: 21\/80","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = -1286*y - 86151. What is r(-67)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = -5 - 59*k + 53*k + 0. Let c be t(-2). Suppose -3*r + c*r - 148 = 0. What is the remainder when r is divided by 10?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -i**2 + 105868*i - 2802008356.\nAnswer: -(i - 52934)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 176 and 69828.\nAnswer: 279312","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -66, 71 in increasing order.\nAnswer: -66, 2, 71","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 299 - 301. Which is the closest to 1\/4? (a) -3\/4 (b) -3 (c) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 12 + (-4 + (-1 - 3) - -12)?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = -2*s**3 - s**2 - s - 1. Is x(-2) a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.2354 times 1\nAnswer: 0.2354","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 822\/3061 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 119\/6846516 and -79\/2662534?\nAnswer: 47925612","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 = -78*n + 81*n. Suppose n*k - 1153 = 937. Let x(b) = 2*b + 414*b**2 - k*b**2 - 2*b. Let h(t) = -20*t. Give x(h(r)).\nAnswer: -1600*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = -z. Let k be u(6). Let g = -3 - k. Suppose 2*v - 4 = -2*s + s, 3*s = -g*v. List the prime factors of v.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from eeiioie. Give prob of sequence oe.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 19582 to the power of 1\/2, to the nearest integer?\nAnswer: 140","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 - 5 = 2*v - 4*j, -18 = -5*v - j. Solve 3*w - b - 13 = 4*b, -3*w + v*b = -9 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*c - 3*k - 20, c + 1 + 4 = -k for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 25914 bigger than 26489?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (-90)\/(-49)*((-41)\/4 + 12) and 21\/8?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 0.2 and 65686656.\nAnswer: 65686656.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*n - 3*w - 7, 5*n - 49 + 35 = 3*w for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sum 31620868 and 1.3813.\nAnswer: 31620869.3813","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -44 divided by 22?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (14*b - 5*b + b)*((-2*b + b - b)*(0 + 2 + 0) + (-b + 4*b - b)*(-3 + 2 - 3)).\nAnswer: -120*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qvvvvvvvqvzvvqv. What is prob of picking 1 q and 1 z?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = 2*n**2 - 37*n + 28. Let q = -90 + 115. Let w = -6 + q. What is the remainder when o(w) is divided by 13?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (75 - 17 - 3)*(-2*v**3 + v**3 - v**3).\nAnswer: -110*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f\/(f\/f**(2\/13)))\/((f*f**(-7))\/f))\/((f*f*f*f**(-1)\/f*f*f*f*f*f*f)\/(f**2\/f)) assuming f is positive.\nAnswer: f**(15\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5283 is divided by 5?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = -6*l**2 + 5*l - 1. Let p be (-51)\/34*14\/(-3). Let c = 11 - p. Let v(u) = 4*u**2 - 3*u**2 + 3*u - 4*u. What is c*v(m) + a(m)?\nAnswer: -2*m**2 + m - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert 864581.9 millennia to years.\nAnswer: 864581900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 97 + 154 + (-336 - -30)?\nAnswer: -55","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 2353\/4 - 589. Which is the second smallest value? (a) -2\/11 (b) -2\/15 (c) 1\/4 (d) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 2 - 433?\nAnswer: -431","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 27.2 + -27. Put -2\/7, k, -1 in ascending order.\nAnswer: -1, -2\/7, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -3 - 1*-11179 - -4. Let z be p\/70 + 2\/7. Suppose -2*s + z = 2*s + 3*h, 62 = 2*s - 3*h. What is the units digit of s?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 73 + 64 + u**2 - 137.\nAnswer: u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 916827432 and 36?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b + 4*r = -2*b + 18, -3*r - 49 = -4*b. Solve -4*n - 3*p - 25 = 0, 0 = -3*n - 2*p + b - 28 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 2, -1, -5, 12 in descending order.\nAnswer: 12, 2, -1, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -273 - -273.06. Which is smaller: v or -23?\nAnswer: -23","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(143)\/(sqrt(11) + -1*sqrt(1584)).\nAnswer: -sqrt(13)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*o + 79 + 713 = 0. Find the common denominator of 67\/21 and 2\/(-8) - -7*(-42)\/o.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -2 - -3. Let h = -319 - -532. Is h\/z*1\/3 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2a (base 13) to base 9\nAnswer: -40","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 9*r**6 - r**5 + r**2 + 14*r wrt r?\nAnswer: 1080*r**3 - 60*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-5)\/(-2)*28\/(-735).\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.1, 1.3, 2\/5, 5, -10.\nAnswer: -10, -0.1, 2\/5, 1.3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-15 + 15 - 29*t)*(-7*t**2 + 7*t**2 - 4*t**3)*(43*t - 15*t + 11*t).\nAnswer: 4524*t**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when -10*(-32)\/(-400)*5*-967 is divided by 10?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*g - 13 = -37. Solve -4*c = 4*o + 20, -g*c - 17 = o + 2*c for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3381 to the nearest integer?\nAnswer: 58","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = -d**3 - 3*d**2 - d + 1. Let q(a) = 10*a**3 + 40*a**2 - a - 7. Calculate -q(o) - 7*s(o).\nAnswer: -3*o**3 - 19*o**2 + 8*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1040\/728 - (-708)\/14.\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*d**3 - 859*d + 214 - 410 + 196 + 4*d**2 in the form n + f*d**2 + v*d + y*d**3 and give v.\nAnswer: -859","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 9.806+0.2\nAnswer: 10.006","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k\/(k**6\/k))**(-20\/7)\/(((k\/k**(1\/2))\/k)\/k)**(-47))**49 assuming k is positive.\nAnswer: k**(-5789\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.5, -0.19, 0.3, -7\/5.\nAnswer: -7\/5, -0.19, 0.3, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 6825040 and 1840.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (32 - 11 + 12 - 1 + 3 + 30 + (0 - 2 + 1)*(-2 - 1 + 4))*(-3*q**4 + 2*q**4 + 0*q**4).\nAnswer: -64*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ppm when three letters picked without replacement from ppiemmjpjjmipm.\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -2 - 6\/(-1 - 2). Suppose -12 = 4*s - x, -4*s + 8 = -f*s + 4*x. Does 5 divide 2*(9 + s) - 1?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -11202 + 321?\nAnswer: -10221","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1866910?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = v + 1. Let c be (1*(-1)\/1)\/1. Let i be l(c). Suppose 3*y = -4*w + 66 - 8, i = -4*w + 5*y + 74. What is the units digit of w?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 0.071 and -2117.\nAnswer: -2116.929","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1544, 6042, 13486, 23864, 37164, 53374, 72482?\nAnswer: 94476","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify w*w\/w**(-1\/3)*w*w**(-10)*((w\/(w*w\/((w**(-2)\/w)\/w)*w))\/w)\/(((w*w*w**(-2\/3))\/w)\/w) assuming w is positive.\nAnswer: w**(-13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of ((-726)\/24)\/(13\/(-1716)).\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = y**3 - 5*y**2 + 2*y - 5. Let x be h(5). Let d(b) = -8 + 8 - 6 + b**3 + x*b**2 - 2*b. Let v be ((-4800)\/36)\/20 + (-10)\/(-6). What is d(v)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (10 - -1) + 14 + 40 + -22.\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (1 + 8 - -67) + 18\nAnswer: 94","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 579.01339717 + 0.07730283. Let y = 493.0906824 - j. Let x = 86 + y. What is x rounded to six decimal places?\nAnswer: -0.000018","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = -2*g**2. Let c(m) be the second derivative of 0 + 7*m**2 + 0*m**3 - 1\/8*m**4 - 26*m. Let w(l) be the first derivative of c(l). What is h(w(f))?\nAnswer: -18*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*g = 12*g - 40. Suppose 3*v - g*v = -245. What is the tens digit of v?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -214 - -216. Let y(x) = -5*x + t + 4*x - 16 + 13. What is y(0)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -2893716044771 and 0.5.\nAnswer: -2893716044770.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 8, 27898, -4, -3, -6 in descending order.\nAnswer: 27898, 8, 2, -3, -4, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*s - 6*s + 4*s + 3*s - s.\nAnswer: -2*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 36774, 36745, 36712, 36675, 36634, 36589, 36540?\n\"Answer: -2*f**2 - 23*f + 36799","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Determine a so that 3*a**3\/8 + 21*a**2\/4 - 93*a\/8 + 6 = 0.\nAnswer: -16, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-4)\/(-10) + 22\/(-30). Suppose -5*q - 9 = -8*q. Suppose j = -q*j - 8. Put v, j, -0.5 in decreasing order.\nAnswer: v, -0.5, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1906\/9 - -212. Let w = 300 - 300.2. Let i = 4 + -2. What is the third biggest value in h, i, w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-1)\/4 + 496293\/28. Let l = p + -992515\/56. Find the common denominator of -19\/14 and l.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1 + sqrt(1573))*-2 - sqrt(1573))**2 - -1*(-4 + -1 + sqrt(13)).\nAnswer: -131*sqrt(13) + 14156","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 91984797?\nAnswer: 3, 23, 107, 4153","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = d**2 - 14*d + 28. Let g be (4 - 14)\/(15\/(-18)). Let o be t(g). Solve -17 = 2*j + 5*r, o*j - 2 = 3*j + r for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + ((0 + sqrt(2448))*1 - (sqrt(2448) + -1 + -4)).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 93690.89l to millilitres.\nAnswer: 93690890","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m\/(m*m**(-1\/5)))**11 assuming m is positive.\nAnswer: m**(11\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4*((-2)\/(-2) - 810\/(-360)) + -37?\nAnswer: -50","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-44 - -13071)*(-36)\/7. What is the units digit of (w\/(-16))\/3 - 1\/(-4)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -5.65 - -9.54. Let z = 3.891576 - x. What is z rounded to five dps?\nAnswer: 0.00158","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 805 and 736?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((u*u**(-7)*u)\/u)\/(u\/(u\/(u**(2\/25)\/u*u))))\/((u*u*((u**(-7)\/u)\/u)\/u)\/(u*u**6)) assuming u is positive.\nAnswer: u**(223\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*c + 71 - 71 for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 13703734*k - 7093026*k - 121165486*k - 34064510*k.\nAnswer: -148619288*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -b - 2*q + 8, -2*b = 2*b + 3*q - 27. Let i(s) = -2*s**3 - 6*s**2 + 2*s - 6. Let o(a) = a**2 + 1. Determine b*o(u) + i(u).\nAnswer: -2*u**3 + 2*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.378 + 0.278. Which is the third smallest value? (a) o (b) 1 (c) 1\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-90)\/(-21) - 4\/14. Let k(y) = y**3 - 16*y**2 + 26*y - 165. Let l be k(15). Solve -4*c + 0*o + 2*o - 16 = l, -c - o = f for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -7 equal to -8?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -9442*r**2 + 7095 wrt r?\nAnswer: -18884*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p + 4*k + 8512 = -124541, 0 = 2*p - 5*k - 88702. Is p a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4211 is divided by 36?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = -n**3 + 30*n**2 - 12*n + 363. Let g be j(30). Solve g*u = 4*u + 3*p - 19, -5*u + 2*p + 10 = 0 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -70259772, -70259780, -70259788, -70259796, -70259804?\nAnswer: -70259812","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = -28*z**3 + 16*z**2 - 22. Let v(d) = -23*d**3 + 12*d**2 + d - 20. Let s(r) = 4*j(r) - 5*v(r). Determine s(3).\nAnswer: 114","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -23203 - -54672. Is i a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -389 (b) 2\/13 (c) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-5*(-1*sqrt(114) + sqrt(114) - sqrt(114)) + sqrt(114))\/(sqrt(6) - (sqrt(66) + (sqrt(66) - (sqrt(66) + sqrt(66)*-1)))\/sqrt(11) - sqrt(6)))**2.\nAnswer: 171","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 2464 and 294?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -18.17 - -18.1. What is the nearest to p in -0.5, -0.11, 0?\nAnswer: -0.11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = -z**2 + 9*z + 3. Let a be u(9). Suppose -a*o - 35 = -14. Let f(i) = i**3 + 6*i**2 - 9*i - 1. Is f(o) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -126\/5 + 4\/5*k + 2\/5*k**2.\nAnswer: 2*(k - 7)*(k + 9)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 60 and 688.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = -189*j**2 + 5872*j + 87. Calculate d(31).\nAnswer: 490","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -59\/725 and 58\/7.\nAnswer: 5075","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = 5*i - 4. Let j(n) = n**3 + 4*n**2 - 5*n + 4. Let y be j(-5). What is the units digit of m(y)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -58*q + 408 = -61*q. Let g = q - -309. What is the remainder when g is divided by 59?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5492 to the power of 1\/2, to the nearest integer?\nAnswer: 74","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 440 and 165.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -11*r + 12*r + 15. Let a be 6\/r*(-860)\/(-4). Let j = 93 - a. Is j prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 91 and 195?\nAnswer: 1365","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 e when two letters picked without replacement from dyweeeb.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-3)\/6)\/((-1)\/6). Let o = 7 - 1. Let a(h) = 3 - 2 + 1 + o*h. Calculate a(i).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -5, 1038, 5, -526, 2 in ascending order.\nAnswer: -526, -5, -3, 2, 5, 1038","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 1179*l**3 + l**2 + 7*l + 71 wrt l.\nAnswer: 7074","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 5929475 and 25?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 21\/5 - 347\/85. Which is the fourth biggest value? (a) -0.2 (b) 8.8 (c) 0.3 (d) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = 419*z - 1398. Let u be w(-68). Round u to the nearest 10000.\nAnswer: -30000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {o: 1, y: 2, i: 3, u: 4}. Give prob of picking 3 u and 1 y.\nAnswer: 4\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 210?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = 13*s**3 + 2 + s**2 + 3*s - 5 - 14*s**3. Suppose -2*q = 4 - 12. Let g(w) = w**2 + w - 2*w + 5*w - q - w**3. Give -3*g(v) + 4*r(v).\nAnswer: -v**3 + v**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i + 3*i = 0. Let u(y) = y**3 - 4*y**2 + 2*y - 5. Let s be u(4). What is the second derivative of -z - z**s + i*z**3 - z - 2*z**3 wrt z?\nAnswer: -18*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-4)\/(-242))\/(9083\/(-341) + 27)?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -18875 + 471877\/25. Which is the fourth biggest value? (a) 3 (b) -5 (c) -35 (d) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((1 - 1 - 3*n)*(0 - 1 + 3)*(-5 + 1 + 2 + (4 - 5 + 3)*(1 + 0 + 0) - 3 + 0 + 2) + 21*n + 10*n - 40*n)*(-3 - 2 + 2) to the form d + j*n and give j.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is -91 smaller than 1\/209?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 176 minutes after 4:47 AM?\nAnswer: 7:43 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i\/i**0)**29)**(-10\/11) assuming i is positive.\nAnswer: i**(-290\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p\/p**(-1\/16))\/p**(3\/13))\/((p\/(p\/(p**26*p)*p))\/(p\/(p\/(p\/(p*p*p**(-21)))*p))) assuming p is positive.\nAnswer: p**(-1283\/208)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4\/(-56) + 2460966\/(-466620) - -2*3\/11?\nAnswer: -24\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2059119.\nAnswer: 3, 109, 2099","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 2189001 to the power of 1\/3, to the nearest integer?\nAnswer: 130","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -40 + 39.7. Let a(u) = 50*u - 262. Let g be a(5). What is the smallest value in -3\/5, c, g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 992 a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = -4*c**3 - 3*c**2 - c. Let s = -4 + 6. Suppose 15 = 5*y - 6*d + 2*d, 3*d = -y + 3. Let u(w) = 3*w**3 + 2*w**2 + w. What is s*z(k) + y*u(k)?\nAnswer: k**3 + k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -206 - 26 = 29*n for n.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 280193459?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*k = -5*m - 10*k + 722, -3*m + 414 = -5*k. Let f be 2 + (-5)\/((-5)\/147). Which is bigger: f or m?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = -4*u + 17 + 2*u + 0*u + u. Is a(-14) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 28*g + 56717 + 2195 = 0. Let j = 4425 + g. Is j prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3.338079*-2\nAnswer: -6.676158","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2404, -1754, -680, 812, 2716, 5026, 7736, 10840?\nAnswer: 14332","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand -10622*b**5 + 5301*b**5 + 5278*b**5 + 36*b**3 + (-2 + 2*b**2 + 2)*(0*b**3 - 3*b**3 + 2*b**3).\nAnswer: -45*b**5 + 36*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*q - 147 + 1257 = 0. What is the units digit of q?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*m - 2*m**3 - 3*m + (-80 + 42 - 62)*(3 - 3 + 2*m**3).\nAnswer: -202*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify g\/g**(-2\/3)*(g**8*g)\/g assuming g is positive.\nAnswer: g**(29\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 31 and 686195?\nAnswer: 21272045","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Divide -63 by 9.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -48\/77 + 10\/11. Let p = -117 + 116. Which is the third biggest value? (a) x (b) -2 (c) 2 (d) p\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = 45*z**2 - 52*z - 2. Let f be q(1). Let t(p) = p**3 + 9*p**2 - 5*p - 12. Calculate t(f).\nAnswer: 33","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -9383.6073 + 9384. Let g = 0.0073 + n. Sort 1.69, g, -0.2 in increasing order.\nAnswer: -0.2, g, 1.69","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1502\/2253*(0 + 2*(-2)\/148)\nAnswer: -2\/111","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 37*h + 0 + 0 + 76*h**4 - 69*h**4 + 3*h**3 wrt h.\nAnswer: 84*h**2 + 18*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = 184000*l**2 - l + 5. Let p be n(5). What is p rounded to the nearest 1000000?\nAnswer: 5000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 608\/112 + 3\/(-7). Let d(f) = f**3 - 6*f**2 + 58*f + 4. What are the prime factors of d(o)?\nAnswer: 269","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -11*u - 1 - 10 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.004 - -23.996. Let y = -42 + g. Let d = y + 17.8. Which is the third biggest value? (a) 4\/3 (b) d (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = -39*b**2 - 312*b - 208. Let m(f) = 3*f + 2. Let k(d) = -312*m(d) - 3*x(d). Let i(w) = -4*w**2. Calculate i(k(p)).\nAnswer: -54756*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 91 + -89. Differentiate 68 + 43 + 102*a**2 - 285*a**z + 125*a**2 wrt a.\nAnswer: -116*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n**4 - 2073155*n**3 - 31096515*n**2 - 130604285*n - 101580920 = 0. What is n?\nAnswer: -414616, -7, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2 + d - 2)*(-12*d**3 + d**3 - 3*d**3 - 9*d**3) to the form g*d**2 + r*d**4 + m*d**3 + u + v*d and give r.\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 1, n: 3, b: 5, e: 1, g: 2, v: 1}. What is prob of sequence be?\nAnswer: 5\/156","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (2 - 0\/1)*-2. Let h(z) = 2*z - 11. Let c be h(8). Suppose c*k - 12 + 5 = 2*d, 2*d + 3*k - 17 = 0. Put d, i, -5 in decreasing order.\nAnswer: d, i, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((x**12*x)\/x)\/x**(-14\/3))\/(x*x\/(x*x\/x**(-2\/7)))**(-13\/2) assuming x is positive.\nAnswer: x**(311\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 19881?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 52059*g**4*h**2*z + 47*g**4*h*z + 48*g**2*h**2*z + 7*g**2 + 2*g*h**2*z + g*h*z - 2*g*z - 13 wrt g.\nAnswer: 1249416*g*h**2*z + 1128*g*h*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -5.53998 - -0.11268. Round y to 1 decimal place.\nAnswer: -5.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 464*a - 304*a + 817*a to the form i*a + y and give i.\nAnswer: 977","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = b**3 - b**2 + b. Suppose 2*t - 7*t = -15. Suppose -4 - 2 = -t*o. What is d(o)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 209*w + 460 = 8*w - 143 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -141*c**2*d**3 + 128*c**2*d + 202*c**2 - 8304*c*d**3 + 2*d**3 wrt d?\nAnswer: -846*c**2*d - 49824*c*d + 12*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 25641894*t**3 - 51282919*t**3 + 25641691*t**3.\nAnswer: 666*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 18ad90 (base 15) in base 3?\nAnswer: 2021000201100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 347\/777 - 2\/111. Let l(p) be the first derivative of 2\/21*p**3 + 2\/35*p**5 - f*p**2 - 4\/7*p + 3\/14*p**4 + 1. Factor l(s).\nAnswer: 2*(s - 1)*(s + 1)**2*(s + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = -b + 7. Let f be (4 - (-20)\/(-12))*-3. Calculate the least common multiple of 8 and o(f).\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 8 and 9368.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Divide 4905 by -6.\nAnswer: -1635\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand -7*u**4 + u**4 + 2*u**4 + (-2*u**2 - 1 + 1)*(4*u**2 + 0 + 0) + (6 - 1 - 2)*(4*u**3 - 3*u**3 + u**3)*(-3*u + 0*u + 2*u).\nAnswer: -18*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 428184\/626*(-1)\/(-18)?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (-6 - 121\/(-35)) + (-6)\/10 + 4?\nAnswer: 6\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -0.2 (b) -6 (c) 0 (d) 30\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 220 + -200. What is the derivative of 53 - 15*x**3 - o*x**3 - 23*x**3 + 7*x**3 wrt x?\nAnswer: -153*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1871?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.1 + -0.1. Let v = m - -4. Let p be (13\/34 - 0) + (-6)\/(-51). What is the nearest to 1 in p, 1\/3, v?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = -27*i. Let l be k(1). Let f = -16 - l. Is f a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fyl when three letters picked without replacement from {f: 1, l: 5, y: 4}.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 11675019*f + 18364403?\nAnswer: 11675019","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o**1*o**(-2\/7)*o*o)\/(o**(-2)*o*o**(-1)))\/((o**(-3)*o**(-1\/7))\/(o*o**(2\/5)*o**0)) assuming o is positive.\nAnswer: o**(324\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*q**2\/5 - 120456*q\/5 - 906852996\/5.\nAnswer: -4*(q + 15057)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = w**2 + w. Let k be i(0). List the prime factors of -3*(-4 - (-3 + k)).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6\/(-24)*10*2?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 354421326?\nAnswer: 2, 3, 7, 19, 31, 14327","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 815786911.\nAnswer: 131, 617, 10093","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((3*sqrt(320))**2 + 5 - (sqrt(320) + 0 + -2)) + 0.\nAnswer: -8*sqrt(5) + 2887","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1.5 - -4.5. Let w = 84 + -586\/7. What is the closest to 7 in w, -2, d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -11 - -7. Which is the closest to -0.2? (a) g (b) -0.1 (c) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 74.27316 nanograms to kilograms.\nAnswer: 0.00000000007427316","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 1015*p**2 + 65*p + 1893*p**2 - 307*p + 8 - 468*p - 11 wrt p?\nAnswer: 5816","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 152762390*n*q - 24*n + 992948 wrt q.\nAnswer: 152762390*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 8536 and 194.\nAnswer: 194","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.6 + -1.9. Let o = n - 1.54. Let q = 0.04 + o. Which is the closest to 1\/3? (a) 5 (b) q (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 63459097 and 19525876.\nAnswer: 253836388","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p = 5, 0*a - 5*p + 14 = 3*a. Suppose 240 = 27*o + 313 - 235. Solve a*v + o = -0*v for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -43*m + 609 + 552 = 0. Let h(n) = 21*n + 61. Is h(m) a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12*d**2 + 3*d**2 - 80*d**3 + 9*d**2 + 79*d**3.\nAnswer: -d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*n + n**4 - 4*n**4 + 2*n + (4*n**3 - 3*n**3 - 3*n**3)*(0*n + 3*n - n).\nAnswer: -7*n**4 + 2*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q = 4*l + 36, -2*q + 2*l + 2 = -q. Let m = 0 - q. What is the units digit of m?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-62)\/4 + (-1)\/2. Find the common denominator of ((-11)\/44)\/(14\/(-203)) and (44\/6)\/(u\/42).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 29\/(2175\/(-30)) + (2944\/10 - 3) is divided by 6.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*d - 4*y - 4, d - 2*y - 4 = -3. Let w be 612\/(-9)*2\/(-4). What is the smallest common multiple of w\/102 + (-17)\/(-3) + d and 5?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(-1\/4))**(-1\/14)*(y\/y**(-2)*y)**19 assuming y is positive.\nAnswer: y**(4257\/56)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 626 divided by -2?\nAnswer: -313","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 394, 486, 578, 670?\n\"Answer: 92*w + 302","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 36 and 1422?\nAnswer: 2844","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*t = 2*t + 3*d - 51, 39 = 2*t - d. Suppose -170 = -4*w + 2*j, -5*w - 32*j + 214 = -33*j. What is the remainder when w is divided by t?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 43 a factor of 1465350806?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = 185219*m**2 - 185554*m**2 - 2*m + 2*m. Let u(l) = 16*l**2. What is a(u(w))?\nAnswer: -85760*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (4 + 264)*((-49)\/(-14) + -1). Which is greater: 669 or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mwmmyyr. Give prob of picking 1 r and 1 m.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-12)\/(-8))\/((-33)\/(-4)). Let o be (57\/76)\/(1\/(-4)). Let k be (24\/(-16))\/(o\/8). Which is smaller: k or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 10.437 - 10.47927. What is y rounded to three decimal places?\nAnswer: -0.042","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n - 33 = -4*s, -6*s + s + 15 = -n. Let v(f) = s*f + f**2 + 0*f - 2*f - 6*f - 3. Give v(8).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = -5*n + 268. Let z be i(54). Which is the closest to 1? (a) 2\/3 (b) z (c) -3 (d) -2\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = 8*b**2. Let u(x) = x + 815*x**2 - x - 802*x**2. What is u(d(y))?\nAnswer: 832*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is (-310 - -412) + -82 - (0 + -44)?\nAnswer: 64","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (25 + -1)\/((-10)\/(-25)). Let v be ((-6)\/10)\/((-4)\/a). Let s = v - 5. What are the prime factors of s?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -279? (a) 3 (b) -6 (c) -0.3 (d) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 89\/97630 and 47\/48815.\nAnswer: 97630","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.06*773.078.\nAnswer: 46.38468","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 2 - 4\/(-16)*0. What is the derivative of -4 - 2*v - 14*v**r + 2*v wrt v?\nAnswer: -28*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 432?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor -x**2\/3 - 313564*x\/3 + 313565\/3.\nAnswer: -(x - 1)*(x + 313565)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -19899*i*m - 19061*i wrt m.\nAnswer: -19899*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 + (9 + -3 - 2) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) be the second derivative of l**5\/120 - 20*l**3\/3 - 38*l. Let f(c) be the second derivative of d(c). Let i(t) = 0*t - 4 - 3*t + 4. What is f(i(j))?\nAnswer: -3*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 464921?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 381077 is divided by 301?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -2 - -787?\nAnswer: 785","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 47*o - 52*o = 5. Let h = -0.7 - -0.2. What is the closest to 1\/2 in 3, h, o?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x - 18 = 3*v + 3*x, -5*v = x + 23. Let h = 12 - 7. Put -3, v, 1\/3, h in increasing order.\nAnswer: v, -3, 1\/3, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) be the first derivative of s**7\/280 + 7*s**6\/180 + 19*s**3\/3 + 18. Let w(i) be the third derivative of v(i). Find the third derivative of w(g) wrt g.\nAnswer: 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 137638.1 - 137638. Let h be (-1)\/(0 + (-18)\/4). What is the closest to g in 3\/7, -3\/5, h, 4?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = 5394314*n**2. Let r(i) = -165*i. Determine o(r(q)).\nAnswer: 146860198650*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is one fifth of a centimeter in millimeters?\nAnswer: 2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify a**1\/((a\/(a**(1\/32)\/a))\/a) assuming a is positive.\nAnswer: a**(1\/32)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ic when two letters picked without replacement from {c: 3, i: 2}?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 64965?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = -296*o - 19253. Determine c(-65).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.04? (a) -2\/3 (b) 0.7 (c) 2 (d) 0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:33 AM and 9:36 AM?\nAnswer: 123","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 2*1\/11*(-3344)\/(-4256)\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 62, 481, 1636, 3899, 7642?\nAnswer: 13237","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = -h**3 - 44*h**2 + 863*h + 6938. Calculate w(-57).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 10394839417 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 115079 a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -13203*s**3*u**3 - 168527*s**3*u - 6*s**2*u**4 wrt u.\nAnswer: -79218*s**3*u - 72*s**2*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 21*r = -16*r + 8*r for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = -6*f**3 + f**2 - f + 1. Let o be l(1). Suppose -2*w + 28 = 3*w - 4*z, 4*w = -5*z + 47. Suppose 4*j + 8 = -w. Sort j, o, 2 in decreasing order.\nAnswer: 2, j, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -44, -69, -148, -281, -468, -709?\nAnswer: -1004","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1500.89*0.255.\nAnswer: 382.72695","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-2)\/5 - (-2)\/5. Suppose g = -4*k + k + 210. Let l(p) = -p + 4. Let a be l(-6). What is the greatest common divisor of a and k?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 1ac4 + 1?\nAnswer: 1ac5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 10 and 53948.\nAnswer: 269740","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*p - 9*p + 95 = 0. Sort p, 4, 0 in ascending order.\nAnswer: 0, 4, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) be the first derivative of -4*b**5\/5 - b**4\/2 + 2*b**3\/3 + 11. Find k such that u(k) = 0.\nAnswer: -1, 0, 1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = w**2 + w + 19. Let r be g(8). Suppose -5*u = 5*b + 97 + 318, -b - r = -u. Let y = b + 101. List the prime factors of y.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1.2 - 0.9. Put x, 41, 4, -5 in descending order.\nAnswer: 41, 4, x, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 11 (base 12) to base 7\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 892?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of q**4*v + 19958*q**3*v + 2*q**2*v - 22*q*v - 5913*q wrt q?\nAnswer: 24*q*v + 119748*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 753245 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 5175895 a multiple of 302?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-21)\/(-9))\/((-4)\/(-12)). Suppose -3 - f = -2*w. Let i(g) = 2*g - 5. Let r be i(w). Solve 15 = -0*o + r*o for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 46, 65, 90, 115, 134, 141, 130?\n\"Answer: -q**3 + 9*q**2 - q + 39","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from mmwaaywx. Give prob of picking 1 m, 1 w, and 1 y.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -1, 11, -0.2, 4, 3, 2\/9?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = -28*z - 172. Determine y(9).\nAnswer: -424","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let -5*v**5 - 30*v**4 - 40*v**3 = 0. What is v?\nAnswer: -4, -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -2 + (-10)\/(-2) - 6. Which is the second smallest value? (a) 2\/5 (b) o (c) -3\/7 (d) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -60*k**3 + 909*k**2 - 129*k - 90 = 0.\nAnswer: -1\/4, 2\/5, 15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 941481946?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -3*d*r**4 + 3*d*r + 4*d + 36*r**4 wrt r.\nAnswer: -36*d*r**2 + 432*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = -d**2 + 1. Let a(t) = -306250*t**2 + 6250. Let f(c) = -4*a(c) + 25000*o(c). Let b be f(-2). Suppose u + b = -0*u. Round u to the nearest 1000000.\nAnswer: -5000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = y**2 - 130*y - 2013. Let t be a(-14). Solve -10 = 2*p, 5*p + 39 - 8 = -t*h for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u = -17 - 1. What is the second derivative of a**2 - u*a + 21 - 21 wrt a?\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = 1 + 3*l**2 - l**2 - 3*l**2 - 6*l. Suppose -3789 = -26*n - 279. Let c = n + -140. What is h(c)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -1552 - -3?\nAnswer: -1548","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -29.937+6\nAnswer: -23.937","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is (36\/20)\/((-121)\/(-330)*3)?\nAnswer: 18\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = 13*z**2 + 2*z. Let p be l(-3). Suppose -2*j + p = u - 7*j, -4*u = 2*j - 510. Calculate the highest common factor of 14 and u.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1 or -42\/27173?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -688 - -688. What is the tens digit of 6 + m - (-93)\/(-3)*-2?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.048547751 to two decimal places.\nAnswer: -0.05","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.240863 centuries to months.\nAnswer: 289.0356","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 13538 to the nearest integer?\nAnswer: 116","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is sixty-seven fifths of a millennium in decades?\nAnswer: 1340","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -2\/2253 (b) 2\/3 (c) 6\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0 or -5740?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = 28*h**2 - 1740*h + 319. Calculate k(62).\nAnswer: 71","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 d and 1 t when two letters picked without replacement from tqhssjhqdhthstqqqs.\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = -s**2 - 4*s + 4. Let f be d(-5). Let v(i) = -i - 1. Let l(p) = p + 5. Let x(u) = -l(u) - 4*v(u). Calculate x(f).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1\/(6\/(-21) + (-22)\/(-28))?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-12048)\/147 - (-2514)\/(-61593)?\nAnswer: -82","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 21*(137\/(-548))\/((-3)\/(-4)).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*u + 2 - 2)*(2 - 2 - u) - 4 - 45*u**2 - 18*u**2 - 39*u**2.\nAnswer: -104*u**2 - 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 24479 less than -130?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*a = 8*a - 2*t + 6, 17 = 2*a - 5*t for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 8 - (-13 - -16)\/(2\/4). Suppose -5*d = -4*z - 72, -w*z = d + 4*d - 54. Solve -70*q + 67*q = -d for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -101*r**5 - 10*r - 4 wrt r?\nAnswer: -2020*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 z, 1 o, and 1 y when three letters picked without replacement from {o: 3, u: 4, y: 1, d: 1, z: 2}?\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4530.\nAnswer: 2, 3, 5, 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = -l**3 + 6*l**2 + 10*l + 7. Give s(8).\nAnswer: -41","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -86 (b) -0.11 (c) 2\/13 (d) -4 (e) 0.1 (f) -1\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -3877 (base 12) to base 4\nAnswer: -1210123","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Add together 330.96 and 11437.8403.\nAnswer: 11768.8003","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 2, -863.\nAnswer: -863, -3, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 134\/11 (b) -5\/4 (c) 0.5 (d) 0.3 (e) -48\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -4 + (-10)\/(-3)*56\/40. Let t = 6 - 30. Which is the fourth smallest value? (a) -3 (b) r (c) 5\/3 (d) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -930 and -1.09.\nAnswer: -931.09","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = 6 + 34*i - 11 - 35*i. Let h be v(-4). What is the closest to -4 in 5, h, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) be the second derivative of -7*q**3\/6 + 13*q**2\/2 - 19*q. Let d be l(2). Does 33 divide 7 + d + -2 - -95?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4430*t**2 - 7749*t**3 + 4430*t**2.\nAnswer: -7749*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor -1\/4*t**5 - 2*t**4 + 0*t - 5\/4*t**3 + 0 + 25\/2*t**2.\nAnswer: -t**2*(t - 2)*(t + 5)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-42)\/8)\/(5 - 259\/56). Let k = -719 - x. Is (-15)\/5 - 1 - k a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0 + l + 0)*(-9*l + 9*l + 7*l)*(-4*l**2 + 3*l**2 + 5*l**2) to s*l + x + j*l**3 + i*l**4 + c*l**2 and give i.\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 4.988237kg in grams?\nAnswer: 4988.237","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 112313 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: (16\/(12\/3))\/((-16)\/44)\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -13*k**2 - 45*k**3 + 2*k + 29*k**2 - 20*k**2.\nAnswer: -45*k**3 - 4*k**2 + 2*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 66 and 44?\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 14\/(-4)*(600\/105 - 8)?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6016007 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 827 - 174. Is g composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 112*t - 1230 = -222 for t.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find v, given that 16*v**3 - 84*v**2 - 16780*v + 4200 = 0.\nAnswer: -30, 1\/4, 35","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1\/(4\/(-72))*1\/(-3)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -270*d - 312*d + 199*d - 190*d - 103*d to i + k*d and give k.\nAnswer: -676","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = -20108*t - 563011. Determine b(-28).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_test"},"subset":"dm_maths"} +{"text":"Question: What is 97\/8 + 161\/(-1288)?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 190 and -0.401?\nAnswer: -76.19","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand -10*n + 10*n + 21*n - n - n - 3*n + n + 0*n + n + 3 - 3 - 2*n - 3*n + 4*n + n + (5 + 0 - 3)*(4*n - 5*n + 0*n) - n + n - n - n + 1 - 1 - 4*n + 6*n + 2*n.\nAnswer: 18*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -13679 in -2, 2\/9, 3?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = -j**3 + 25*j**2 - 44*j - 37. Let c be r(23). Solve 4*z + 3 = 5*p, 4*p - 15 = c*p + 5*z for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 3\/25 of a day?\nAnswer: 10368","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 56661.11 hours?\nAnswer: 203979996","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1046274 (base 9) to base 4.\nAnswer: 2021101300","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = z**2 + 14*z - 50. What is the units digit of c(-17)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 994816, 1989629, 2984442, 3979255?\n\"Answer: 994813*k + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) be the third derivative of l**5\/20 + 220*l**2. Let r(n) = -389*n**2. Give g(r(s)).\nAnswer: 453963*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -84.872 - -84.94. Let h = -1043.068 + 1041. Let j = r + h. Which is bigger: 20\/9 or j?\nAnswer: 20\/9","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 50 by -25.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1542 - 378 = 10*t. Let k be ((-9)\/(-4))\/((-36)\/t) + -4. Which is smaller: 7 or k?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = 2*j**2 - 2*j - 2. Let f be u(2). Let v be (2 + 18)*-10*(-4)\/10. Suppose 3*k = f*k + 4, -3*c - 5*k = -v. Solve 0*i = 5*i - c for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3*p**2 - 4*p**2 + 6*p**2 + (-p + 0*p + 0*p)*(0*p + p + 0*p))*(p - 4*p**2 - 46 - 3*p + 47) in the form c*p + b*p**3 + f + i*p**4 + q*p**2 and give i.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (-36)\/594*966\/(-3080) and -56\/275?\nAnswer: 6050","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 105\/(-10)*(17661\/(-348))\/(-203)\nAnswer: -21\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-1)\/((-6)\/4 + 1). What is the remainder when ((-8)\/56)\/(1\/(-161)) is divided by (-119)\/(-9) - s\/9?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 2 - -1. Suppose -2*m = g + h*m + 25, -g + 2*m = -10. Suppose g*j + 4*j = 0. Let q(v) = -v + 6. Determine q(j).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = 3754*z - 3754*z - 8*z**2. Let m(d) = -18*d**2. Determine a(m(r)).\nAnswer: -2592*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is seven eighths of a litre in millilitres?\nAnswer: 875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.3, 2\/5, 0.129 in decreasing order.\nAnswer: 2\/5, 0.3, 0.129","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20*r + 0 = -20. Let g be 139\/3 + 2\/3. Does 26 divide g + 2 + 4 + r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from cciccxcxxcghxcgcdxhx. Give prob of sequence ci.\nAnswer: 2\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 26.111439ms?\nAnswer: 0.00043519065","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -35 or -179\/5?\nAnswer: -35","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/(-27) + (616\/(-63) - -7)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*m + 5, -18*m = 2*u - 14*m - 92. Calculate the remainder when 0 - 156\/(-2 + -1) is divided by u.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1110100000 (base 2) to base 14.\nAnswer: -4a4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 112 - -1210122021001?\nAnswer: 1210122021120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a + 922 = 896. Let t be (a - 6) + 4*-2. Let o(u) = u**3 - u. Let p(b) = -4*b**2 - 2*b - 2. What is t*p(h) + 2*o(h)?\nAnswer: 2*h**3 + 4*h**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 90 is divided by (-12)\/(-3) + 4 + 16.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 145\/20 + 4\/16*-1 + (-212 - -292)\nAnswer: 87","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0432917487 to 4 dps.\nAnswer: 0.0433","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*d - 4*d + 32 = 2*n, 4*n = 3*d + 22. Let u = 11 + d. Solve 0*k = 2*o + k - 3, -k + 15 = u*o for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 72 + 49 = 11*o. Suppose o*n = 95 + 389. Is 4 a factor of (n\/(-4))\/((-4)\/12)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g**4\/4 + 1119*g**3\/4 + 305*g**2 - 27975*g - 28000 = 0. Calculate g.\nAnswer: -10, -1, 10, 1120","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 3*q*u**4 - 385*q*u**2 - 58*u**4 + u**2 wrt u?\nAnswer: 72*q*u - 1392*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -39035378*u**4 - 10730263*u - 3.\nAnswer: -468424536*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2579*b - 12 + 8548*b + 13.\nAnswer: 5969*b + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z + z = h - 21, -2*z + 14 = 4*h. Suppose 2*l + 3*w - 46 = 0, -18 = -2*l - 0*l + 4*w. Calculate the remainder when l is divided by h.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*y + 2 = -3*y for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -3.56 - 0.44. Let x = 6 + -5.1. Let v = -0.4 + x. Sort 0.4, i, v in ascending order.\nAnswer: i, 0.4, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = l + 5. Let p(j) be the second derivative of j**3\/6 + 2*j**2 - 2*j. Let s = -3 - -7. Let g(a) = s*o(a) - 5*p(a). Let h(q) = -4*q. What is h(g(c))?\nAnswer: 4*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -24156 = -532*t - 200*t for t.\nAnswer: 33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*y - 197 = -232 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/7? (a) -1\/2 (b) -35\/37 (c) -12.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -3363, -6786, -10207, -13626, -17043, -20458?\n\"Answer: x**2 - 3426*x + 62","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-396)\/(-330)*(1330\/(-6))\/7?\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -185, -350, -515, -680?\nAnswer: -845","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l + 2 = 2. Let s be 22 - 13 - (2 + -9). Solve 4*y + 0*i = 3*i + 8, 4*i + s = l for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = -5*h**2 - 3*h - 3. Let y(s) = -4*s**2 - 2*s - 2. Let r be 0 - 6\/3 - -6. Let i = -7 + r. Let a be (-2 - -1)*1 + 3. Give a*p(g) + i*y(g).\nAnswer: 2*g**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1171376963 to the nearest integer?\nAnswer: 34225","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -2 + 5\/((-15)\/(-24)). Suppose 0 = -3*h + v*h - 63. Let r = -12 + h. Calculate the remainder when 25 is divided by r.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide 213229?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 3 - 23324?\nAnswer: -23321","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 9 + 5 + -12 + 7.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -77*o = -71*o + 6 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from srsrrrsrssss. What is prob of picking 4 s?\nAnswer: 7\/99","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = 5*q**3 + 6*q - 9. Let o be d(2). Suppose 217 = 13*r - o. Let j(g) = 2*g**2 - 2*g + 6. Calculate the lowest common multiple of j(4) and r.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -101*q - 83*q = 232 - 600. Solve -4*v = v - 25, 5*g + q*v = 5 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - b - 1)*(4*b - 2*b + 0*b) - 2*b**2 + b**2 + b - 37 + 38 + (39*b + 0*b - 2*b)*(0*b - 3*b + b).\nAnswer: -77*b**2 + b + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 v and 1 i when three letters picked without replacement from {d: 11, i: 2, v: 6}.\nAnswer: 10\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = 7*s**3 - 6*s**2 - 8*s. Let m(v) = -v - 6*v - 2*v**3 - 5*v**2 + 7*v**3 + v**3. What is -5*a(n) + 6*m(n)?\nAnswer: n**3 - 2*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 10333 to the power of 1\/2, to the nearest integer?\nAnswer: 102","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 8916443629 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(80)*-5 + (sqrt(20)\/sqrt(2))\/sqrt(2).\nAnswer: -19*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 13 + -6. Does 7 divide j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = c**2 - c - 4. Let y be t(3). Suppose 2*r - 42 = -4*j, -3*j + 4*j - y*r - 23 = 0. Does 8 divide j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 37 is divided by 13.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 352*i = 350*i + 6 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 0.01492 * 0.3\nAnswer: 0.004476","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 4352, 9204, 17294, 28622?\nAnswer: 43188","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*o + 14*p - 10*p + 8 = 0, -3*o + 1 = -4*p for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -44 - 1033?\nAnswer: -1121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jcr when three letters picked without replacement from rcggrqjjqjrrrr.\nAnswer: 3\/364","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 945 + -853. Is -87 + z - 5*-214 a multiple of 71?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 256657?\nAnswer: 23, 11159","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3 - (-11 + (-11 - -12))) + 1.\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = -692*v + 1. Let q(g) = -3*g. What is h(q(w))?\nAnswer: 2076*w + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 85 + -82. Suppose -j - 4 = 2*h - h, -r*j - 3 = 0. Let m be 2*(-9)\/(-6)*h\/(-9). Solve w - m = 2*l - 4, 0 = 3*l - 3 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -19\/61, 3, -3\/2, -4\/7, 2\/5?\nAnswer: -19\/61","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = -9*f + 7. Give w(3).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 5.8 - 6. Which is the second smallest value? (a) 2 (b) 1 (c) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 243238 divided by -12802.\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i = -0 - 2. Let v(j) = j - 7. Let n be v(8). Let t = n - i. Solve -5*x - 30 = -5*g, 5*x + t*g - 10 = -5*g for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i - 6 + 36 = 0. Is 484\/(-6)*(-9)\/i composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:28 PM and 4:34 PM?\nAnswer: 186","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 222323615 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Work out -133135387294 - -4.\nAnswer: -133135387290","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1 + 1. Is 3\/2*(v + 0) a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 668 a factor of 162488495?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 98081 + 38348 - 9595 = 5259*b + 11136 for b.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.3594311 - -9?\nAnswer: 9.3594311","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 2 divide 2\/6*11*(14 + -5)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = 399*d**2 + 64*d + 404. Is t(-13) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -90*m*r**2 + 8*m - 475674*r**4 + 4598579 wrt r?\nAnswer: -180*m*r - 1902696*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*n**4 + 5*n**4 - 3*n**4 + (-2*n**2 + 3*n**2 + 5*n**2)*(-4*n + 4*n + 3*n**2).\nAnswer: 17*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {j: 4, d: 3}. Give prob of picking 2 j and 1 d.\nAnswer: 18\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(-8)\/o**(1\/4))\/(o**1)**(-23) assuming o is positive.\nAnswer: o**(59\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -6332 + 9346. Is m a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 34\/((-8330)\/(-15))*84\/(-72)\nAnswer: -1\/14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -408*j = -2862*j - 171780 for j.\nAnswer: -70","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.4, 1\/2, 4, 4\/29 in increasing order.\nAnswer: -0.4, 4\/29, 1\/2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-76)\/20 - 1\/5. What is the units digit of 6\/4*1*(o - -24)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) be the first derivative of -5*o**2\/2 + 54. Let t(v) = 0 + 0 - v. What is t(z(r))?\nAnswer: 5*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (3 + -2)*-3 + 5. Let x be (15\/(-20))\/(15\/d). Which is smaller: 5 or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -33*p = -34*p + 14. What is the highest common divisor of p and 98?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 5 + 144?\nAnswer: 149","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*q = 5*q + 15. Let u = q - -3. Solve -5*t + u*t = -15 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 24307.\nAnswer: 109, 223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 1365?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-4 - (-160)\/45) + 306\/567. Which is the nearest to f? (a) 4 (b) 0.9 (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 237, -1, 3, 11, 4, 1, -24 in decreasing order.\nAnswer: 237, 11, 4, 3, 1, -1, -24","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6 + 10 + -1 + (-3 - 4).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2784, -2048, -1068, 156, 1624, 3336, 5292?\nAnswer: 7492","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -243 (base 12) to base 4\nAnswer: -11103","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = 1. Let k = 130 - 131. Let l(h) = -4*h - 6. Let n(w) = k*l(w) - 6*b(w). Calculate n(3).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 minutes before 12:12 AM?\nAnswer: 12:08 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 869220 a multiple of 99?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 15, 21, 27, 33, 39?\nAnswer: 45","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 1.4, 0.3, -2\/13?\nAnswer: 1.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*m**5 - 114*m**4 - 1527*m**3 - 8760*m**2 - 22428*m - 21168 = 0. What is m?\nAnswer: -14, -4, -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9\/((-135)\/(-80))*720\/(-384).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -11 divided by -2379?\nAnswer: 11\/2379","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -6.5974052 rounded to 1 dp?\nAnswer: -6.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20 = -5*r - 264*q + 259*q, 0 = r - 5*q + 10. Put 518, r, -8 in descending order.\nAnswer: 518, r, -8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 153192, 153188, 153184?\nAnswer: 153180","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 482 is divided by 35?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 3183, 10503, 22703, 39783, 61743, 88583, 120303?\n\"Answer: 2440*m**2 + 743","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = a**2. Let b(q) = -2 - 286*q + 145*q - 5*q**2 + 137*q. Let o be (-1)\/((9\/(-3))\/(-3)). Give o*b(w) - 6*z(w).\nAnswer: -w**2 + 4*w + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7 - -8 - 0 - -6.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:21 PM and 9:31 PM?\nAnswer: 130","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -75*d - 1100 = -1566 - 4334 for d.\nAnswer: 64","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 103758*k**2 + 43096*k wrt k.\nAnswer: 207516","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 12335 + -8479. Is a a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 30768029179 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = 120*u + 117. What is b(-1)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 679948 and 1699870?\nAnswer: 3399740","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (11 - 12)\/(4\/(-464))?\nAnswer: 2, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1642076, 1642071, 1642062, 1642049?\nAnswer: 1642032","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a**(-1\/3)\/a)\/a*a*a**26)**(-48) assuming a is positive.\nAnswer: a**(-1184)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -142 + 238. Let z = 19169003.00099 - 19169099. Let l = z + x. What is l rounded to four dps?\nAnswer: 0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) be the second derivative of -z**6\/60 + z**5\/20 - z**2 - 4*z. Let m(w) be the first derivative of r(w). Find the third derivative of m(u) wrt u.\nAnswer: -12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -44633267 times 0.4?\nAnswer: -17853306.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-3*(-3 + sqrt(684) + 0) - (sqrt(684)*-1*-4 + -5)) + 0 + -4)**2.\nAnswer: -840*sqrt(19) + 33616","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 349188379 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: (-1)\/(16*(-19)\/(4256\/(-42)))\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -17899500 rounded to the nearest ten thousand?\nAnswer: -17900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g**4\/2 - 9*g**3\/2 + 13*g**2\/2 + 9*g\/2 - 7 = 0. Calculate g.\nAnswer: -1, 1, 2, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1230063*59.\nAnswer: 72573717","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x = 5*r - 11, 2*r = -5*x - 3*r - 5. Let o be (x\/1)\/(2\/(-32)). Let p = -19 + o. What are the prime factors of p?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 22\/242*-11*8.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = 4*w**3 + 139*w**2 + 44*w - 62. Does 42 divide m(-32)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3 = -4*c + k, 83*k + 7 = 3*c + 87*k for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (i**2 + 6*i**2 + 3*i**2)*(5*i**3 + 4*i**3 - 4*i**3) + (0 + 6 - 1)*(i**5 - 2*i**5 + 2*i**5) - i**5 - 4 + 4 - i + i**5 + i.\nAnswer: 55*i**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*t + 39 + 31. Suppose -5*f + 64 - t = 0. What is the smallest common multiple of f and 46?\nAnswer: 230","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 1 + 2 + (0 + 3 - 1)*(4 - 3 + 1) - 1 - 4 + 4 - 1 + 1 - 2 + 0 - 2 + 0)*(5 - 4 + 7)*(3 - 2 - 2)*(5*v - 6*v + 3*v).\nAnswer: -16*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = 2*r - 1. Let y be s(5). Suppose -10*x + 5*x = 25. Let q = x + y. Sort 5, -2, q.\nAnswer: -2, q, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3540 times -16\nAnswer: -56640","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1160 and (-4)\/8 - 27\/(-6).\nAnswer: 1160","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -97\/396 and 7\/894168.\nAnswer: 894168","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 251105 (base 6) to base 11\nAnswer: 15823","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 14834 at most 14835?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 759 - 762. Let b(u) = 96*u**3 + 7*u**2 - 22*u. Let a(t) = -t**2 + 3*t. Let i(q) = r*a(q) - b(q). Find the third derivative of i(m) wrt m.\nAnswer: -576","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = -25*f - 12. Give q(-2).\nAnswer: 38","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13 = -3*b - 5*o - 13, -18 = -b + 5*o for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -c**2 + 16891*c - 16891*c.\nAnswer: -c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = 0*o + 3*o + 4 - o**2 + 0*o - 5*o. Calculate r(-5).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -20688, -20462, -20236, -20010?\n\"Answer: 226*z - 20914","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -3669 - -3356. Are g and -316 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 60 a factor of 15638487?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = 4*d**2 - 1019*d + 10452. Calculate y(244).\nAnswer: -40","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 70409 to the power of 1\/2, to the nearest integer?\nAnswer: 265","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*m - 2 + 2)*(-m + 0*m + 7*m) + 0*m**2 - 3*m**2 + 2*m**2 + (3*m + 0*m + 0*m)*(2*m - 2*m - m)*(2 - 2 + 2) - 16*m + 16*m + 8*m**2.\nAnswer: -11*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 5956*q*w*x**3 - q*w*x - q*x + 5*q - 2*w*x**4 - w*x - x + 422 wrt x?\nAnswer: 35736*q*w*x - 24*w*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2 - 2) + 2 + 6?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = -6*b + 11. Let l(m) = 17*m - 33. What is -4*l(i) - 11*v(i)?\nAnswer: -2*i + 11","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 - ((13 + -8 - -3) + -7).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 884698 to the nearest integer?\nAnswer: 96","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u - 6*u = 10. Let y(b) be the second derivative of b**4\/12 - b**3\/6 - b**2 - b. What is the units digit of y(u)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o + 4*o + 3*k = -23, -5*o = -4*k + 51. Let m = o - -14. Is 7 a factor of m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -34022, -33837, -33498, -33005?\n\"Answer: 77*g**2 - 46*g - 34053","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 17.975 + -18. Let c = -0.024921 - m. What is c rounded to five dps?\nAnswer: 0.00008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1287999359 to the power of 1\/6, to the nearest integer?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7041?\nAnswer: 3, 2347","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 22211012 + 2001221?\nAnswer: 101220010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = z. Let y(j) be the third derivative of j**5\/60 - 19*j**2. Determine y(x(a)).\nAnswer: a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11 = -18*o + 7, t = -5*o + 6 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((r*r**(4\/3))\/(r*r\/r**(21\/4)*r))**(1\/25))**10 assuming r is positive.\nAnswer: r**(11\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3 + 30\/(-8))\/((-19)\/(-988)*13).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = -g**2 - 14*g - 47. Let f be d(-8). Let p be f\/((-3)\/9) - -2. Sort 5, -6, p.\nAnswer: -6, p, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 j when two letters picked without replacement from {p: 2, j: 4}?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2095218.\nAnswer: 2, 3, 43, 2707","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3 - -82 - (-5 - -9)) + (140 - 132).\nAnswer: 89","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 549 + 1329 + 400 = 134*j for j.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2028?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = -3*y - 1. Let t be ((-15)\/25)\/(y\/(-15)). Suppose -t = -w + 4. What are the prime factors of w?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4510530 to the power of 1\/2, to the nearest integer?\nAnswer: 2124","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 240 - -105. Let r = -317 + t. Calculate the highest common factor of r and 8.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3a6 (base 11) to base 14.\nAnswer: -263","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -9 - -9.4. Let c be 10\/8*1\/(-10). Let t = 0.7 + 0.3. What is the nearest to t in 1, c, i?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) be the third derivative of 8*l**7\/35 - 13*l**6\/120 - l**5\/15 + 163*l**4\/8 + 11*l**2 + 207*l. What is the third derivative of g(h) wrt h?\nAnswer: 1152*h - 78","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 697 is divided by 25?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/5 in -1, 0.15, 2\/15?\nAnswer: 0.15","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -2002226 (base 7) to base 3\nAnswer: -102222212112","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 24*x**2 + 1546270*x + 8292892 wrt x?\nAnswer: 48*x + 1546270","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-74)\/14 + -17 + 45 + -23?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is -80599596 equal to -80599596?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 80\/(-2)*(55 + (-15435)\/280) + 1106\/(-222)?\nAnswer: 2\/111","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 4\/(-12)*(-18)\/27. Which is the third smallest value? (a) o (b) 19 (c) 2 (d) 4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let h = -9 - -12. Let z = -58 + 24. Let y = z + 34.1. Put h, -4, y in descending order.\nAnswer: h, y, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1337923 is divided by 267579?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 258 + 346 = 140*c + 11*c. Let y(m) be the first derivative of 1144\/3*m**3 + 121*m**c + 32*m - 21 + 184*m**2. Solve y(a) = 0 for a.\nAnswer: -2, -2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 9523, 9525, 9527, 9529?\n\"Answer: 2*i + 9521","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = -i**2 - 34*i + 249. Give x(6).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 + -2 + -16 + 19.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1\/1*7*(-13)\/(-13).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 229678511?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-21)\/6*(-16)\/28. Suppose -f*y = y - 141. Is y a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -618, -3003, -8950, -20241, -38658?\n\"Answer: -297*h**3 + h**2 - 309*h - 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -10011010 + 22?\nAnswer: -10010211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -89.04 + 89. What is the nearest to 0 in 1, -0.2, o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f + 77 = -298. Let i be (f\/(-10))\/3 - (-6)\/4. Do i and 2\/79 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -10330 (base 5) to base 16\nAnswer: -2cb","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*a - 4*a + 5056. Suppose 0 = o + a - 52528. What is o rounded to the nearest 100000?\nAnswer: 100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -5\/4, -2\/11, 0.5, -0.07, -0.1542, 5, -0.3?\nAnswer: -0.07","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q = -20 + 5. Find the first derivative of -q + 0*t**2 - 5*t**2 + 4*t**2 wrt t.\nAnswer: -2*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = -w**2 + 27*w + 51. Determine q(29).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Divide -356 by 4.\nAnswer: -89","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -167*f**2 - 61*f**2 + 19*f - 19*f to the form g*f**2 + s*f + r and give g.\nAnswer: -228","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does 52 divide 224552?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4*z + 5*z - 2*z)*(0 + 1 + 1)*(2*z**3 - 4*z**3 + 4*z**3) + (2 - 2 - z)*(3*z**2 - 3*z**2 - z**3) as k*z + a*z**3 + i*z**4 + s + p*z**2 and give i.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6845167683?\nAnswer: 3, 97, 211, 4129","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 52 + -52. Let y be 4\/(-2)*2\/(-10). Is s < y?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k*k\/(k*k\/k**(-5)))\/(k\/((k*k*((((k*k**9*k*k)\/k)\/k)\/k)\/k)\/k*k)))\/((k\/(k\/((k*(k*k**(-1)*k)\/k*k)\/k)))\/k)**(18\/5) assuming k is positive.\nAnswer: k**4","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = -u**2 - 2*u - 13. Let h(a) = -3*a**2 + 11*a - 91. Let w(x) = h(x) - 2*z(x). Determine w(9).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 33 and 363?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*h - 8 = 10*h. Suppose -h*v - 16 = -4. What are the prime factors of ((-1)\/v)\/(5\/435)?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 26758*a**3 + 1207*a**2 + 4170*a - 16662?\nAnswer: 160548*a + 2414","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 194386 and 8.\nAnswer: 777544","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = 203*q - 3214. Let h be o(26). Calculate the greatest common divisor of h and 903.\nAnswer: 129","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 20587 is divided by 5146.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -95412*r**3 + 47286*r**3 - 101144*r**3.\nAnswer: -149270*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -2 + -85518d7?\nAnswer: -85518d9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sum -0.86564 and 3345319902.\nAnswer: 3345319901.13436","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 443 minutes before 8:35 AM?\nAnswer: 1:12 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = -44*n**3 + 3*n**2 + 4*n - 3. Let f(g) = -g**3 + g**2 + g - 1. What is 3*f(b) - k(b)?\nAnswer: 41*b**3 - b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 398 is divided by 375?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l + 37 = -8. Let v = -2 + l. Let z = v - -8. What is the smallest value in -6, z, 0?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 (base 14) in base 4?\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -302 - -376. Calculate the highest common factor of h and 1184.\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-8)\/6*(-6)\/4. Let h be 64\/12 + (-8)\/j. What is the smallest value in 4, 3, h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -100 = 31*u - 56*u. Suppose 3*p + 10 = u. Let k(x) = 2*x**2 + 4*x + 6. Determine k(p).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(6\/13)*(j\/j**(-2\/11))\/j)**(-21) assuming j is positive.\nAnswer: j**(-1932\/143)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 14020 divided by -2.\nAnswer: -7010","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is (1\/22)\/((-3)\/12)?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 8 - 6. Suppose 0 = 2*m - 0*m. What is the derivative of f**2 + 3 + f**n + m*f**2 wrt f?\nAnswer: 4*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 1 + (-2)\/8*5. Put -3, 3\/4, h in decreasing order.\nAnswer: 3\/4, h, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*k - l + 16 = 0, -2*k - 31*l + 13 = -28*l for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*l + 0*l - 3*l)*(-2*l + l + 0*l)*(20*l + 11*l + 3*l).\nAnswer: 34*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 5, m: 4, y: 2, a: 4}. What is prob of picking 2 a?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 1 - -2 - (4 + -10). What is the highest common factor of v and 72?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 21f (base 16) to base 8.\nAnswer: 1037","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -35, -1866, -4919, -9194, -14691, -21410, -29351?\n\"Answer: -611*a**2 + 2*a + 574","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -857*p*t**3*v - 3*p*t**2 - 8*p*t - 2*p*v + 3*t**3 - 10*t with respect to v.\nAnswer: -857*p*t**3 - 2*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 704 minutes before 4:21 PM?\nAnswer: 4:37 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -26 - 15?\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 1\/10 of a minute?\nAnswer: 6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = 474*w**2 - 54984*w + 198. Calculate o(116).\nAnswer: 198","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 182 + -163. Suppose 47*g - 32396 = u*g. Round g to the nearest 100.\nAnswer: 1200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -21 - -46. Is 3 a factor of f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 2420021, 2420024, 2420029, 2420036?\n\"Answer: a**2 + 2420020","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 1443377 a multiple of 432?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 34356489?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = -134*c**2 + 1 - 10*c + 14*c + 135*c**2. Calculate q(-2).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8 = -5*c + 7*t, -2*c + 8*t - 4*t = 5*t + 12 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = n**2 + 22*n + 90. Calculate y(-10).\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 3158093021 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) -0.3 (b) -3\/2 (c) 9\/55 (d) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -32 + 33. Let o = k + 9. Is 2 a factor of o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*v - 2*v + 3*v)*(0*v + 4*v - 2*v) + (-51 - 9 + 23)*(-270*v**2 + 23*v**2 + 565*v**2) + (-2 + 2 + v)*(v + 2*v - v) to l*v**2 + w*v + n and give n.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 5483330 to the power of 1\/3, to the nearest integer?\nAnswer: 176","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 + 4 - 4)*(-79 + 99 + 25*g - 26).\nAnswer: 75*g - 18","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = 15*g**2 + 9*g + 80. Let j be r(-11). Let k = -7596 + j. Round k to the nearest 10000.\nAnswer: -10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 73\/210 and 16\/2571?\nAnswer: 179970","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from zmopn. Give prob of sequence omz.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 44467 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 102 - -12002012222?\nAnswer: 12002020101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort -18, -3, 233, 3, 1, -1 in decreasing order.\nAnswer: 233, 3, 1, -1, -3, -18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 70.097 + -70. What is k rounded to two dps?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 133 + -74. Let k = t + -64. Let j = 12 + -86\/7. Which is the biggest value? (a) k (b) 4\/7 (c) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 48\/64*4\/1. Let d(q) = -q**3 + 9*q**2 - 8*q + 2. Let v be d(8). Suppose -s*t + 6 = -v*f, -10 = -5*t + 2*f - f. Solve -t*h = -7*h + 10 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-32 + 14 + 5*b + 14)*(-10*b + 7*b - 6*b) - 1 - b**2 + 1 + (-2*b**2 - b**2 + 5*b**2)*(2 - 3 + 2).\nAnswer: -44*b**2 + 36*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 15360 and 112.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (0\/(-5))\/4 - -6. Let q be (-8)\/1188*-894 - n. Is q > 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -87196, -174397, -261600, -348805, -436012, -523221?\n\"Answer: -u**2 - 87198*u + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.24441842 rounded to 1 decimal place?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert 88134b (base 12) to base 2.\nAnswer: 1000001111000010101011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:30 PM and 12:47 AM?\nAnswer: 77","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -14, -36, -66, -104, -150, -204, -266?\n\"Answer: -4*u**2 - 10*u","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -5 - (-17 - (-12 + -9))?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 1050b (base 12) in base 9?\nAnswer: 32402","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -14 + -8?\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 16.122 + -2521158?\nAnswer: -2521141.878","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -17 + 11 + 19\/4?\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 628 and 2823331?\nAnswer: 157","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Does 503 divide 216037997?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(2\/17))**(1\/22) assuming k is positive.\nAnswer: k**(1\/187)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 1458*x**2 - 2352*x?\nAnswer: 2916","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: (((-1092)\/(-224))\/(3\/4))\/((-10)\/(-4))\nAnswer: 13\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b = 2*h - 5*h + 15, -2*h + 13 = -b. Let y be (-1320)\/(-42) + h\/14. Find the second derivative of -36*d**4 + 8*d + 63*d**4 - y*d**4 wrt d.\nAnswer: -60*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -115 divided by 165964\nAnswer: -115\/165964","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 266 minutes after 1:51 AM?\nAnswer: 6:17 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -16 + 16.3. What is the closest to 3 in -0.5, m, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (3 - -1) + (-66)\/17?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -107 - -117. Suppose -9*p = -y*p - u + 224, -224 = -p - 2*u. What is the tens digit of p?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*i = 3*k - 97, 6*k - 55621 = 3*k - i - 55529 for k.\nAnswer: 31","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is five quarters of a millisecond in microseconds?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -779087 or -3895437\/5?\nAnswer: -779087","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express -29 + y**4 + 2*y**3 - 30 + 0*y - y + 41 in the form w*y + q*y**4 + j*y**2 + v + z*y**3 and give w.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 48694 is divided by 7896.\nAnswer: 1318","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 49.5887298 rounded to zero dps?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from jfffnfjlfffnfflyfnl. What is prob of picking 1 j and 2 f?\nAnswer: 30\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.4 + -5.1. Let z = x - -9.5. Which is greater: -12 or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 3068?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 45 + (-95 - -55) - -2\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7.376988nm to kilometers.\nAnswer: 0.000000000007376988","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 10 + -351?\nAnswer: -341","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r + 8*r + 2*j - 56 = 0, -j + 19 = r. Which is the second smallest value? (a) -0.2 (b) r (c) 2\/5 (d) 2\/11\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5208 to the power of 1\/4, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -281086, -281029, -280982, -280951, -280942, -280961, -281014, -281107?\nAnswer: -281246","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 70\/(-20)*(-4 + -1 + 3). Let o(i) = -8*i**2 - 6*i. Let s(t) = 9*t**2 + 7*t. What is g*o(n) + 6*s(n)?\nAnswer: -2*n**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 65380 to the power of 1\/3, to the nearest integer?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -5933 - -7291. Calculate the lowest common multiple of m and 154.\nAnswer: 14938","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 51*h**4 + 34*h**2 - 11*h - 49*h**4 + 5 - 5 + 12*h to the form t*h**4 + d*h**2 + i + g*h**3 + c*h and give c.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -19200 + 19180.08. Let s = 5 + 13. Let n = s + k. What is n rounded to one decimal place?\nAnswer: -1.9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 4.83 + -4.8. Let q = x - 0.098. Let k = q - -0.06799816. What is k rounded to 7 dps?\nAnswer: -0.0000018","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 45.2918 to the nearest ten.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: (-3)\/((-477)\/(-848))*(-30)\/8\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find l, given that -12*l**2 + 16743*l - 4185 = 0.\nAnswer: 1\/4, 1395","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -33*d = -19*d + 111*d - 6125 for d.\nAnswer: 49","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 5320\/(-27360) - (-2)\/(-8)?\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*s**2 + 31830 + 2*s**4 - 32196 + 2*s**2 in the form j + l*s**4 + g*s + q*s**3 + z*s**2 and give j.\nAnswer: -366","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -32302 (base 5) to base 2\nAnswer: -100010011010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -130 - -19. Let b = m - -176. What is the tens digit of b?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -56\/15 and (175\/(-45) - -3)\/((-1624)\/240).\nAnswer: 3045","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b*(b\/(b\/((b*b\/((b\/(b\/(b**(4\/15)\/b)))\/b)*b)\/b)*b))\/b)\/(b\/b**(-4)))**(14\/5) assuming b is positive.\nAnswer: b**(-476\/75)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 279.69 + 0.592311.\nAnswer: 280.282311","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 6611, 0.5, 3, 0.2 in ascending order.\nAnswer: -1, 0.2, 0.5, 3, 6611","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = 14*g - 396. Let b(o) = 9*o - 252. Let t(r) = -11*b(r) + 7*z(r). Let l(v) be the second derivative of 47*v**3\/6 - v. Determine l(t(d)).\nAnswer: -47*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.941 + -0.921. What is the third smallest value in f, -3, 2, -0.4?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 317, 1762, 4333, 8030, 12853?\nAnswer: 18802","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 - 5 = -u. Find i, given that -5*i**2 - 6*i**3 - 8*i**2 + 3*i**2 - i - u*i = 0.\nAnswer: -1, -2\/3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 11*v - 55, -9*b + 5*b + 7*v + 122 - 148 - 69 = 0 for b.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 3 (b) -0.0417 (c) 5 (d) -3\/41\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3382)\/475 + 66\/550 + 4\/((-20)\/(-375)).\nAnswer: 68","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 3569345 and 13796120.\nAnswer: 1227854680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (-18*(-2)\/(-20))\/((-146)\/50 + 3) and 19\/896?\nAnswer: 896","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*p**2 + 22*p**3 - 4*p**2 - 6*p**3 + 0*p**2 in the form g*p**3 + l*p + i + a*p**2 and give g.\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Add -56 and 3379777.6.\nAnswer: 3379721.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y = 5*x + 8210, -37*y = -42*y + 2*x + 41027. Is y a multiple of 35?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*w + 2*x - 10, 11*w + 2*x + 22 = 7*w for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 71009 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 218640457?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -0.5, 35, 5, 34?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1040.07 + 18.93. Let t = -1059.02268 + v. Let l = t - -0.02. What is l rounded to 3 decimal places?\nAnswer: -0.003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*x**4 + 4*x**4 + 0*x**4)*(x + 3*x - 5*x).\nAnswer: -x**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = 670*p + 2. Let a be l(1). Suppose -12*r + a = -4*r. What is the tens digit of r?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {y: 1, u: 2, r: 7, j: 4, o: 1}. What is prob of picking 1 y, 2 u, and 1 j?\nAnswer: 4\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*d - 4*b + 3*b + 382, 0 = 2*d + 2*b - 156. Let u(c) = 3*c**2 + c - 4. Calculate the remainder when d is divided by u(3).\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 0, 0.2, 2\/15, 0.02?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) be the third derivative of -v**5\/30 + 47*v**4\/24 + 23*v**3\/6 - 4793*v**2. What is b(24)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4132471.\nAnswer: 7, 29, 20357","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is (-18)\/(18\/(-3))*1\/5?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide -74681100 by 1493622.\nAnswer: -50","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 29765 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 r and 1 t when three letters picked without replacement from mrttrtthmmrrmtrrtt.\nAnswer: 35\/272","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l + 2*l = -5*i - 223, -2*i + 1088 = 5*l. Let a = -274 + l. Which is bigger: a or -54?\nAnswer: -54","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -92a1 - -4e2d?\nAnswer: -4373","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = i + 1. Let t be p(-2). Let v be ((-1)\/(-15))\/(229\/(-1374)). What is the closest to t in v, -5, -10?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 12221 (base 4) to base 2\nAnswer: 110101001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*f + 15*f = 0. Solve 4 = -f*n - 4*n for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine i, given that -i**2\/2 + 415*i - 829\/2 = 0.\nAnswer: 1, 829","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 2 - 3. Let i(m) = -m**2 - 5*m. Let k(r) = r**3 - r. Let c(s) = -i(s) + 4*k(s). Let p be c(v). What is p rounded to the nearest integer?\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1*sqrt(121)*-3)\/(sqrt(1584) + (sqrt(1584)*2 + sqrt(1584) - sqrt(1584))))**2.\nAnswer: 11\/144","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = 7*q - 6*q**2 - 7*q. Let i(d) = 2*d. Determine h(i(k)).\nAnswer: -24*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (1 + 0)*1*49. Let p = -45 + m. Let q = p + 111. Is q a multiple of 23?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 4 - 6. Let s(o) = -o. Let m(b) be the second derivative of 7*b**3\/6 + 104*b. Let f(h) = i*m(h) - 22*s(h). Let r(q) = q**2. Give f(r(j)).\nAnswer: 8*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p - h - 3 = -0, 0 = 4*p - 3*h + 17. Let j be (-2)\/p - 3\/((-6)\/20). Suppose -6*o = -133 - j. Calculate the greatest common factor of 3 and o.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-126 + 2)*(-3)\/3?\nAnswer: 2, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 173*-5.\nAnswer: -865","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.1 and -56.\nAnswer: -5.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 20*z**3 - 80*z**3 - 151*z**3 - 422*z**3.\nAnswer: -633*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -1 + (-1)\/((-21)\/(-99)) and -56\/33?\nAnswer: 231","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*k + k - k + (3*k + 19*k - 7*k)*(-142 - 2 + 78) to the form s*k + p and give s.\nAnswer: -993","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = h**3 - 6*h**2 - 9*h + 11. Determine w(7).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g + 1 + 13 = o, 3*o + 3*g - 72 = 0. Is 22 a factor of o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ehrhrhhrrarrrhrhrhhe. Give prob of sequence eha.\nAnswer: 2\/855","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is (11\/33*-9)\/(1\/5)?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*s - 70 + 180 = w, -33*w - 246 = 3*s for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + (sqrt(567) + -1 + 4)**2*5.\nAnswer: 270*sqrt(7) + 2882","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*b - 5*b - b)*(-604*b**2 + 2 + 0 + 603*b**2).\nAnswer: b**3 - 2*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = -10*h**3 + 26*h**2 + 34*h - 196. Let v(u) = -3*u**3 + 9*u**2 + 12*u - 64. What is -6*k(a) + 17*v(a)?\nAnswer: 9*a**3 - 3*a**2 + 88","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = 3*p**2 + 3*p - 3. Let k be l(3). Suppose 5*d - 4 - 117 = 4*m, 3*m + k = d. Let j be 14 + ((-448)\/(-80) - 18) + -1. Which is smaller: j or d?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 410.078072 to two decimal places.\nAnswer: 410.08","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from weeewjw. Give prob of picking 1 w and 1 j.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1124*j + 47*j**3 + 428*j + 4*j**3 - 1193*j.\nAnswer: 51*j**3 - 1889*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 338796, 339272, 339762, 340272, 340808, 341376, 341982?\n\"Answer: k**3 + k**2 + 466*k + 338328","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify r**(-9)*r**(-4)*(r**(-4\/5))**(-5\/12) assuming r is positive.\nAnswer: r**(-38\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -29 + 51. Let v = r - 7. Suppose t - 2*t = -v. What are the prime factors of t?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = -8913*u**2. Let x(j) = -11*j + 2. Determine x(y(k)).\nAnswer: 98043*k**2 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-62*u**4 + 13*u**5 + 62*u**4)*(5 + 4 - 17) + 34*u**4 - 34*u**4 + 7*u**5.\nAnswer: -97*u**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = -i**5 + i**2 + i - 2. Let n(t) = -9*t**5 - 30*t**2 - 11*t + 22. Let g(m) = 4*n(m) + 44*o(m). Find the third derivative of g(r) wrt r.\nAnswer: -4800*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from mbdqlqr. What is prob of picking 1 m, 1 l, 1 d, and 1 q?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 74849288, 149698574, 224547860?\n\"Answer: 74849286*g + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 75888008 is divided by 833.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -694076*c*g**3 - 7*c + 10*g**3 + 1719885*g wrt c?\nAnswer: -694076*g**3 - 7","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:17 PM and 11:42 PM?\nAnswer: 445","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -16773*n**3*r - 2*n**3*w**3 + 2*n**3*w**2 - 2*n**3*w + 7569*n**2*w**3 - 318*n*r*w**3 - 195*w**3 wrt r?\nAnswer: -16773*n**3 - 318*n*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 237054 is divided by 236953?\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-126)\/(-30) - (-2 - 12\/(-2))?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-35)\/(-4) - (-8)\/32. Suppose 5*v - q = b, -5*v + 0 = 2*b - 12. What is the units digit of b?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -617 (base 10) to base 7\nAnswer: -1541","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 3\/7, -0.03, 2\/7?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3077 is divided by 1535?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2 by -3740354.\nAnswer: 1\/1870177","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert 22.597401 seconds to minutes.\nAnswer: 0.37662335","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -6217 - -105275\/17. Let x be (-56)\/(-588) + ((-66597)\/(-2142) - 1). Let v = t + x. Calculate the common denominator of -44\/27 and v.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-6 - -7) + 2 - (4 + 2)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f + 2*b + 602 = 0, -8 = -7*b + 9*b. Calculate the greatest common divisor of 8 and f.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.98324925 to four dps.\nAnswer: 0.9832","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 134.5 - -3.5. Let i = k - 124. Let j(y) = -y**2 + 5*y - 2. Let q be j(4). What is the second biggest value in q, -5\/4, i?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(((3 + -1*sqrt(272) - -1*sqrt(272)*-3)*1 + 1)**2 + -4).\nAnswer: -17456 + 512*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 2569, 10228, 22983, 40828, 63757, 91764, 124843?\n\"Answer: -u**3 + 2554*u**2 + 4*u + 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:13 PM and 11:18 PM?\nAnswer: 605","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express (-8 + 11*m + 8)*(3 - 3 - 2)*((79*m - 21*m + 11*m)*(2 - 2 + 2) + 0*m + 2*m - 4*m - 1 - 2*m + 1) in the form k*m**2 + v*m + s and give v.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -24717940 divided by -260.\nAnswer: 95069","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -3 - -40431404141?\nAnswer: 40431404133","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-19)\/2 + -1)\/(69\/(-92)). Solve -q = -p + 3, 4*p = 5*q + 3 + r for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1, 7, 15, 25?\nAnswer: 37","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -4*(-9)\/24*-2?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 18*-1*(0 + (-4)\/4). Let z(h) = 10*h**3 + a*h**2 + 5*h - 9*h**2 + 4 - 4*h**2 - 7*h**3. Let t(k) = 4*k**3 + 6*k**2 + 6*k + 5. Calculate -5*t(u) + 6*z(u).\nAnswer: -2*u**3 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 3757 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: Is 86923 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -9*x + 12*x + 15. Let c be (3 + -4)\/(x + (-104)\/(-20)). Suppose 5*g + 8 = 3*g. Is g < c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c + 4*x - 2 = -36, -4*c = -5*x + 4. Let o = c - -11. What is the second derivative of 0*q + 2*q**o + q + 0*q**5 - 4*q**5 wrt q?\nAnswer: -40*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1341.\nAnswer: 3, 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = u + 6. Let p be d(-6). Suppose -2*k + k - 1 = p. Let q = 3\/4 - 1\/2. Which is smaller: k or q?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5\/(((-30)\/(-16))\/(15723\/3494))?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or 1\/183?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -622*j**6 + 3773*j**4 - 2*j**2 - 50715*j - 2?\nAnswer: -74640*j**3 + 90552*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s + 0*s + 5*g = 108, -2*s + 3*g = -72. Calculate the highest common factor of 24 and s.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -209 divided by 2.\nAnswer: -209\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 divided by -19744?\nAnswer: -5\/9872","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 129, 129, 121, 105, 81, 49?\n\"Answer: -4*u**2 + 12*u + 121","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 3\/(15\/25)*(-4)\/10\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6 - (-10 - (-7 + -4)) - 12.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*w**3 + 20*w**3 - 4*w**3 - 7*w**3 - 9*w**3.\nAnswer: -5*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14721*s + 974883 = -25434*s for s.\nAnswer: -91","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b = 2*v + 8 - 14, 0 = 5*v + 4*b - 2. Let t(f) = 9*f**3 + 4*f**2 - 2*f - 2. Is t(v) a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-11)\/33*18\/(-2) - 2.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*j**2 - 35418*j + 35418*j.\nAnswer: -2*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-52)\/(-7))\/(7107\/483 + -15)?\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = -v**3 + 15*v**2 + 5*v - 23. Let r(j) = 2*j + 20. Let o be r(-6). Suppose o = -2*k + 4*p + 34, -2*k - 4*p = -34. Is 26 a factor of g(k)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -7 and -2727.89357.\nAnswer: -2734.89357","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.4 and 116359.\nAnswer: 46543.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 683105.207 rounded to the nearest one hundred thousand?\nAnswer: 700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20 = -3*k - 2*k. Suppose x + k*x = 450. Let w = x + -57. Is 14 a factor of w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1)\/(-3)*(11 - 13)?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4534243 (base 8) in base 6?\nAnswer: -42144055","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = g + 4. Let u be o(-4). Suppose -6*a - 100 = -4*a. Let w = a - -59. Solve u*x + 3*x = w for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = 9*a**3 - 559*a**2 - 31*a - 151. Let f(n) = -2*n**3 + 17*n**2 + 1. Let l(c) = 5*f(c) + u(c). Find the second derivative of l(g) wrt g.\nAnswer: -6*g - 948","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 0.2 (b) -5 (c) 17 (d) 2 (e) -2\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 581 minutes before 9:56 AM?\nAnswer: 12:15 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -409, -3178, -10685, -25300, -49393?\nAnswer: -85334","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -30701413 (base 8) to base 7\nAnswer: -106301305","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -6454.6115 + -1361786\nAnswer: -1368240.6115","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) be the first derivative of 0*t**6 + 5\/7*t**7 - 2 + 0*t**2 + 0*t**4 + 0*t**5 + 0*t - 4*t**3. What is the third derivative of d(h) wrt h?\nAnswer: 600*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ucucyycyypcfcclfff. What is prob of sequence lp?\nAnswer: 1\/306","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -7 + 19. Suppose -10*v = -11*v. Suppose v = h - 33 + r. Does 8 divide h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -64 - 442 = -46*q. Solve -q*v + 132 = 11*v for v.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13124593 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 3\/5 of a millennium?\nAnswer: 60","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 3, -59, 3\/8 in increasing order.\nAnswer: -59, -3, 3\/8, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = i - 2*d - 11, -3*i + 5*d + 28 + 2 = 0. Suppose 3*g + 39481 = i*z, 10*z - 11*z + 7885 = 5*g. Is z a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 226 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 22 + 10 - ((3 - -4) + 0 + -11)?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7605.\nAnswer: 3, 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round 85.91393 to the nearest 10.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -593457131 divided by -29?\nAnswer: 20464039","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -13010, -52034, -117074, -208130, -325202, -468290?\n\"Answer: -13008*f**2 - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 10392914?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2414*x - 4268 with respect to x.\nAnswer: -2414","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round -553.2718 to the nearest one hundred.\nAnswer: -600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2222169 (base 10) to base 3.\nAnswer: -11011220020120","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 5013138?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 33329637.\nAnswer: 3, 11, 37, 337","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 15632 + -15636. Which is the third biggest value? (a) 0.1 (b) k (c) -1\/8 (d) 131\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = -l + 6. Let o be c(-6). Let g = o - 1. Suppose 0 = -4*j - 5*b + g, 0*j + j - 2*b = 6. Solve -j*t = 4*h + 4, 0 = -2*t + 5*h + 29 + 4 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 11 - 7. Suppose 2*p + 8 = 0, -4*a + 0*p = 3*p - c. Suppose -6 = 5*h - 26. Solve -a = -4*d - h*i + 8, -3*i + 5 = d for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 675 minutes before 12:08 AM?\nAnswer: 12:53 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 262*a**4 - 9*a - 1 wrt a?\nAnswer: 3144*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -5 (b) -4 (c) -4905\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (53 - 41)*110\/15. Calculate the highest common factor of 4312 and y.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 6.14 + -0.14. Let f = 5.9999999 - l. What is f rounded to 7 decimal places?\nAnswer: -0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 4603, 3\/2, -4\/19, 2\/9, -1\/3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1.2 or 20376044?\nAnswer: 1.2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s - 2*o - 26 = 0, -5*s - 1 - 22 = o. Suppose 4*r - 52 - 60 = 0. Let l = r + -24. Sort l, 1, s in ascending order.\nAnswer: s, 1, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 610 = 3*p + 10*p + 727 for p.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence lrle when four letters picked without replacement from {l: 8, r: 8, e: 1}?\nAnswer: 2\/255","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 74472 and 24?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1421 + 1419 + (-35 - (2 - (1 + -2))).\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -325453.032288 + 325360.7. Let c = h - 1.425012. Let l = -93.7 - c. Round l to two dps.\nAnswer: 0.06","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 32130\/67 - 19272707\/40200. What is the common denominator of -107\/1320 and v?\nAnswer: 6600","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 4\/95 + 467\/190. What is the nearest to -0.1 in -2, 0.03, -2\/15, i?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1781 + -1751. Solve -5*u - 2*x + 15 = -0*x, f = 5*u - x for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = 41*i. Let b(j) = -41*j. Calculate b(c(x)).\nAnswer: -1681*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 9103 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 756 - 1460 = -1189*a + 1674. Factor -32\/9*w - 2\/9*w**a - 56\/9.\nAnswer: -2*(w + 2)*(w + 14)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 y and 1 u when two letters picked without replacement from {w: 1, u: 1, y: 1}?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 2107\/2 + -1028. Let s = -3627\/20 + -1999\/10. Let p = s - -367. What is the common denominator of p and d?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*q + 6 = q. Let t(u) = -13 + 33 + 2*u + 12*u. Let m(s) = -5*s - 7. What is q*t(o) + 17*m(o)?\nAnswer: -o + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 327008513?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*p + 4*p + 3 - p)*(-82*p**3 - 875*p**2 + 875*p**2 + (0*p - p - p)*(p**2 + 2*p**2 - 2*p**2)).\nAnswer: -84*p**4 - 252*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -0.2 times 7.1\nAnswer: -1.42","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1922 and 130634.\nAnswer: 4049654","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = 4*n**3 + n**2 + 1. Let z(b) = -202*b**4 - 24*b**3 - 6*b**2 - 687. Let h(v) = -6*l(v) - z(v). Differentiate h(y) with respect to y.\nAnswer: 808*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (11 + (5 + 1 - -27) - 6) + -4\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hohdddhjnhno. Give prob of picking 1 d and 1 h.\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 16558 + -16557.47095. Round u to 2 dps.\nAnswer: 0.53","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o + 15 = -6*o, -23 = -2*r + 5*o. Let k be (-2)\/r - (-5)\/10. Suppose k = -5*f - 5, 26 = -2*b + 3*b - 4*f. What are the prime factors of b?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.002509763 to 5 decimal places.\nAnswer: 0.00251","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 504126 and -0.045?\nAnswer: -22685.67","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 816.341 - 1.341. Let c = u + -815.1571. Round c to two dps.\nAnswer: -0.16","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 77799617 - 0.0076.\nAnswer: 77799616.9924","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 + (6 - (-2 + 8) - 1)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -66, -107, -158, -225, -314, -431?\nAnswer: -582","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 95.97435 millennia?\nAnswer: 95974.35","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 2 - 49?\nAnswer: -47","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = 2*z - 7. Calculate n(-17).\nAnswer: -41","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) be the second derivative of -b**7\/1050 - b**6\/300 + b**5\/100 - 51*b**2\/2 - 10*b. Let l(c) be the first derivative of t(c). Factor l(v).\nAnswer: -v**2*(v - 1)*(v + 3)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*s - 2*t = 7*s - 18, -3*s + 4*t + 8 = 0 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -66*j**3 + 205*j**3 + 3*j**2 - 3*j**2.\nAnswer: 139*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 2\/11 (b) -0.1 (c) 2169\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Divide 30093 by 1433.\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -3\/5 (b) -2.72 (c) 2 (d) 0.06 (e) -0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = 11*p**3 + 10*p**2 - 2*p - 1. Calculate b(-2).\nAnswer: -45","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = 4*w - 26. Let d be m(7). Suppose -v = 5*i - 23, 2*v + 4*i + 2 - 24 = 0. Factor 1\/2*x**v + 0 + 1\/2*x + x**d.\nAnswer: x*(x + 1)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence puf when three letters picked without replacement from pfprefuu.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*f + 8 = -2*i, 4*f - 12 = -4*i - 0*f for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 0.363 (b) 3 (c) 0.5 (d) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k\/(k**(-2\/17)*k))\/k**2*k**(-1)\/k*k*k**(4\/3)*k)\/(k**(-6\/7)\/(k*k**(-3)))**(-5\/9) assuming k is positive.\nAnswer: k**(92\/1071)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 88 + -91. What is the nearest to 0 in h, -0.1, -4?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -317\/329 or -2\/3?\nAnswer: -317\/329","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1757899 - 6215930821\/3536. Find the common denominator of 87\/14 and c.\nAnswer: 24752","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 28423 to the power of 1\/3, to the nearest integer?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:27 AM and 4:34 PM?\nAnswer: 547","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.002560348 to 4 dps.\nAnswer: 0.0026","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = 1. Let w(k) = -k + 5. Let m(a) = -w(a) + 2*y(a). Let p(u) = -u + 1. What is the smallest common multiple of m(10) and p(-6)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((9\/(-2))\/(-3))\/(1\/14). What is the greatest common divisor of 84 and n?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) be the third derivative of 0*q**6 - q**2 + 0 - 1\/42*q**7 + 0*q**4 + 7\/6*q**3 + 0*q + 0*q**5. What is the derivative of d(y) wrt y?\nAnswer: -20*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9501840.\nAnswer: 2, 3, 5, 53, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Product of -5 and 868.325.\nAnswer: -4341.625","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -57183680*h**2 + 50*h + 46759 wrt h.\nAnswer: -114367360","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -4b5c81 (base 13) to base 4\nAnswer: -12322133231","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*u**2 + 0*u**2 - 5*u**2)*(-10 - 9 + 22).\nAnswer: -6*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -6? (a) -2 (b) -1\/4 (c) 4 (d) -5\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p**3 - 6745*p**2 + 619350*p + 41985000 = 0. What is p?\nAnswer: -45, 150, 1244","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = 1079*c**2 - 25884*c - 248. Give y(24).\nAnswer: 40","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*q + 5*q + q)*(5 - 2 + 3)*(-6*q**2 + 4*q**2 - 3*q**2).\nAnswer: -90*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -2, -5, 23 in descending order.\nAnswer: 23, 2, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -43\/27 and -31\/99.\nAnswer: 297","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s\/(s*s**39)*s)\/((s\/(s\/((s\/s**(-1\/6)*s)\/s)))\/s))\/(s**(2\/31)\/s**(-39)) assuming s is positive.\nAnswer: s**(-14365\/186)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 21544 is divided by 181?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 2*u**4 - 1)*(-u + 0*u - u) - 8*u**5 - 3*u**5 - 5*u**5 + (3*u**4 - 3*u**4 - u**4)*(-3*u + 2*u + 2*u).\nAnswer: -21*u**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = 36*n**3 - 42*n. Let s(u) = u**3 - u. Calculate 210*s(p) - 5*z(p).\nAnswer: 30*p**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 155782.\nAnswer: 2, 11, 73, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1501103517?\nAnswer: 3, 2801, 178639","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 77674.4563 rounded to the nearest one hundred?\nAnswer: 77700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 2 (b) -6\/7 (c) -3 (d) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) be the second derivative of -4*n**4 + 5\/2*n**3 + 0 + 1\/14*n**7 + 76*n + 0*n**2 + 27\/10*n**5 - 4\/5*n**6. Solve h(a) = 0.\nAnswer: 0, 1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 72 = -2*i - 7*i. Let b(a) = -184*a + 81. Is b(i) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3a46 (base 14) to base 15.\nAnswer: 3089","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-999)\/333 - 2\/20*-34. Find g, given that 0*g**2 + d*g**3 - 8\/5*g + 0 = 0.\nAnswer: -2, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -207, -204, -191, -162, -111?\nAnswer: -32","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = -11*k**2 - 126*k + 6. Let l(o) = -20*o**2 - 224*o + 12. Give 5*h(s) - 3*l(s).\nAnswer: 5*s**2 + 42*s - 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 + 144*l + 0 + 0.\nAnswer: 144*l - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-44)\/(-22)*2*(-1)\/(-52)*-2.\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 179*y - 50*y - 829526 = -90485. Is 15 a factor of y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -589*i - 593*i + 1193*i in the form g*i + o and give g.\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 787000 rounded to the nearest 100000?\nAnswer: 800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from cwcjcpcccpccpc. Give prob of picking 4 c.\nAnswer: 18\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 66223.1 from 0.5314.\nAnswer: -66222.5686","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*h - 136 = -151 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((0 + 0 + 2*z**2)*(z + 2 - 2) - 4*z**3 + 3*z**3 + 4*z**3)*(-7 + 29 + 10).\nAnswer: 160*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3547?\nAnswer: 3547","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/281? (a) 3 (b) -0.2 (c) 9\/8 (d) -0.55 (e) 9 (f) 1\/7\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-9*t + 53 - 53)*(3*t + t - 2*t + (1 + 2*t - 1)*(1 + 2 - 5))*(-4*t + t + t) to the form v + z*t**2 + i*t**3 + q*t and give z.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 1*-3.84031\nAnswer: -3.84031","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-13)\/((-65)\/(-210))*5\/(-2)?\nAnswer: 3, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 37262661?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of ((-138)\/8)\/((-47)\/15228).\nAnswer: 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 minutes after 8:43 AM?\nAnswer: 8:53 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 2333 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = k - 17. Let j be a(0). Let z = j - -20. Suppose 0 = l - 5*g - 232, -l - g - z*g + 277 = 0. Is l a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = 31*i. Let h be r(-1). Let k(t) = t**3 + 46*t**2 - 47*t - 20. Let p be k(-47). Let q = p - h. What is the remainder when q is divided by 5?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -71*28575.\nAnswer: -2028825","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round -630659.5 to the nearest 10000.\nAnswer: -630000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 805458 is divided by 805429?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 0 - 431?\nAnswer: -431","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 572 minutes after 3:21 AM?\nAnswer: 12:53 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 82184 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 10413 - -32220?\nAnswer: 42633","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (29\/((-638)\/(-440)))\/(-1).\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f - 3 - 5 = 0. Is ((-56)\/20 + f)*655\/(-2) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 9 - 0. Suppose w*x - 4*x - 20 = 0. Suppose -x*d - 6 = -42. What are the prime factors of d?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-2)\/(-4)*80\/10. Let x be 0*2*a\/(-8). Let l(y) = y - 12. Calculate l(x).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 18767971 to the power of 1\/3, to the nearest integer?\nAnswer: 266","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 3114628 and 1333948?\nAnswer: 3124","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 19\/1240 and -61\/3757944.\nAnswer: 18789720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 10*p - 71 - 29. Let k(b) = 18*b - 22. Is 22 a factor of k(p)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w - g + 76 = 0, 3*w - 3*g - 13 = 29. Suppose -x + 8 + w = 0. List the prime factors of x.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 8, -6, 19, 3 in decreasing order.\nAnswer: 19, 8, 4, 3, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13*w = -235 + 235 for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 63*m**5 + 2*m**4 - 3*m**2 + 3*m wrt m.\nAnswer: 3780*m**2 + 48*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = y**2 + 7*y + 3. Let p be d(-7). Let q = p - 3. Suppose -3*m + 17 + 4 = q. What are the prime factors of m?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*u**2 + 11*u - 9*u**2 + 20*u.\nAnswer: -2*u**2 + 31*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 174305 to the power of 1\/6, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -56? (a) -5 (b) -7203 (c) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*r - 9*r - n + 4, -2*n = 5*r - 2 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -46\/7, 37\/11, 1?\nAnswer: 37\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = -x**2 + 11*x + 28. Let p be q(13). Let n be (-336420014)\/(-70) + p\/(-10). What is n rounded to the nearest one hundred thousand?\nAnswer: 4800000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 15*108\/(-210) + 4\/(-14)?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 481147 a multiple of 51?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 50622643 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1503452?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 436537, 436545, 436559, 436579?\n\"Answer: 3*a**2 - a + 436535","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*i**4 + i**2 + 3 + i**2 - 2 to the form n*i**3 + y*i**4 + o*i**2 + w + a*i and give y.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.047 - -0.0181. Let y = 0.0133 - o. What is y rounded to 2 dps?\nAnswer: 0.04","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (3 + -70)\/((-11)\/(396\/27)*4)?\nAnswer: 67\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 10291 - 4766. Let q = -3548 + c. Is 15 a factor of q\/12 + (-1)\/(-4)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) be the third derivative of 257*f**9\/504 - f**5\/30 - 65*f**3\/3 - 65*f**2 + 2. What is the third derivative of y(a) wrt a?\nAnswer: 30840*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*l = -4*l - 60. Let r(w) = w**2 + 9*w + 9. Determine r(l).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -5, 7, 37, 91, 175, 295, 457?\nAnswer: 667","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(-1\/5)\/(b*b**(-1\/6)\/b)*(b**0*b)\/b**(-5))\/((b**(1\/3))**(-41)*((b\/(b\/b**5))\/b)\/b**(1\/3)) assuming b is positive.\nAnswer: b**(479\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express -2 + 33 - 3*y**2 + 4 + 47 - 146 in the form s*y + f + o*y**2 and give f.\nAnswer: -64","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Total of -51676102 and -829.994.\nAnswer: -51676931.994","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 0 (base 7) to base 13\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 12098, 12110, 12130, 12158, 12194?\n\"Answer: 4*d**2 + 12094","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -131296 (base 11) to base 5\nAnswer: -23103102","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 378 - 1891\/5. Let c = -0.07 + 2.07. Let g = c - 4. What is the smallest value in l, g, 2, 0?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 13\/8 of a day?\nAnswer: 2340","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 1561 divide 2316524?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.294 and 20.\nAnswer: 5.88","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -1330058, -1330050, -1330042?\n\"Answer: 8*i - 1330066","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t - 74 = -260. What is the units digit of t?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine j, given that -8*j**5\/11 - 38*j**4\/11 + 612*j**3\/11 - 1058*j**2\/11 - 500*j\/11 + 1200\/11 = 0.\nAnswer: -12, -1, 5\/4, 2, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 5238 and 63?\nAnswer: 36666","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -443, -881, -1319?\nAnswer: -1757","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1091 - 3279*l - 1077 + 2168 to the form s*l + o and give s.\nAnswer: -3279","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(16))\/(-1*2*sqrt(2)).\nAnswer: -sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 250\/11 - 1445\/66. What is the closest to 1\/5 in -3\/5, -0.1, 2\/3, i?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange d**3 - 344 + 342 - 18*d**4 + 5*d**3 - 3*d**3 to o*d**2 + m*d + k*d**3 + h + p*d**4 and give p.\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ytctyhcccchrhhhh. What is prob of sequence tyrt?\nAnswer: 1\/10920","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f + 6*f - 6 = 0. Suppose -f*y - t = -5, -t + 3*t = y. What is the tens digit of (-80)\/(-6) - y\/6?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 54265, 54262, 54259, 54256, 54253?\n\"Answer: -3*d + 54268","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {h: 2, n: 1, e: 1, r: 3, v: 3}. What is prob of sequence evhh?\nAnswer: 1\/840","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -0.1 (b) -3\/22 (c) 4 (d) -3 (e) -2\/23\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = 4*h**2 - 46*h + 37. What is the units digit of s(23)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bfq when three letters picked without replacement from lqhfb.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = 42*o - 1. Let l(k) = 208*k + 1910. What is 5*b(v) - l(v)?\nAnswer: 2*v - 1915","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand 598*t**2 - 3501*t**2 - 1314*t**2 + 1028*t**2 - 4397*t**2 - t**2 + 5*t**2 - 3*t**2 + (-2*t**2 - 2*t + 2*t)*(2 - 2 + 2) + t**2 + 2*t**2 - 5*t**2.\nAnswer: -7591*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 + 4*r - 3)*(3 - 3 + 1)*(-1 + 1 - 3).\nAnswer: -12*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = -3*x + 4. Let o(f) = f - 1. Let z(l) = -h(l) + 2*o(l). Let j be z(8). What is the greatest common divisor of 51 and j?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 1, y: 1, e: 1, u: 3, b: 5}. Give prob of sequence uy.\nAnswer: 3\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 2 - 1210001?\nAnswer: -1202222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 21 a factor of 20275?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -1*(4 - 11) - 0. Solve -h = -2*r + 5*x, 2*r + r - 4*x - 7 = 0 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -13113112 (base 4) to base 14.\nAnswer: -adca","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 3755 + -45109\/12. Let c = z + 21\/4. Let k = 17\/18 - c. Is 0 equal to k?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -25.72 - -25.32. Put 3, -26, -4, v, 0 in increasing order.\nAnswer: -26, -4, v, 0, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3956995?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 525 - 5865\/11. Let p = f - -8. Which is the third smallest value? (a) -0.9 (b) 0.3 (c) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.1 - 182?\nAnswer: -183.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -11*c**2 + c**2 + 9*c**2 + 2 + 1 - 2 to the form q*c**2 + o + k*c and give o.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) be the third derivative of c**7\/105 + 257*c**6\/20 - 2337*c**4\/8 - 39*c**2 + 2*c - 3. Find the second derivative of l(n) wrt n.\nAnswer: 24*n**2 + 9252*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*a - 3*a + 66078 = 0. List the prime factors of a.\nAnswer: 3671","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 0 - -5110a5?\nAnswer: 5110a5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 2172283 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.8 - 2.2. Let i = 954.2 - 954. Which is the closest to d? (a) -3\/5 (b) i (c) -2\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = -2*j**2 - 19*j + 11. Suppose -2*a + 17 - 37 = 0. Let w be b(a). What is the remainder when 84 is divided by w - -46*1 - (1 + 1)?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 5727?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*r + r = -2*c + 199, 5*r - 3*c = 1021. Is r composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + 1 + sqrt(8) + 0 + 3 + (-3*1*sqrt(128))**2.\nAnswer: 2*sqrt(2) + 1152","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -116290812 divided by -29072703?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*h + 4*r + 117 + 271, -5*h = -3*r - 977. Suppose -3*y - h = -1630. What are the prime factors of y?\nAnswer: 2, 239","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -18*c**2 - 2*c + c**4 + 81*c**2 - 6*c**4 - 12*c**3 wrt c?\nAnswer: -120*c - 72","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -69*s**2 + 637*s**2 + 1457*s**2 + 143*s**2.\nAnswer: 2168*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -200 - -202. Determine w so that 1\/2*w**3 - 5\/6*w**n - 2\/3*w**5 + 0 + 5\/6*w**4 + 1\/6*w = 0.\nAnswer: -1, 0, 1\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 4a971 + -2d?\nAnswer: 4a942","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 150 - 156. Let s be u + 24960\/42 - (-4)\/(-14). Suppose -s = -4*p - 4*l, -p - 4*l + 155 = -7*l. What is the units digit of p?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g + 2*i + 24 = 0, 171 - 173 = g + i. Solve -g*z = -24 + 24 for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f - 36 = 15. Suppose 0 = 20*g - f*g - 45. What are the prime factors of g?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -10, 5\/2 in descending order.\nAnswer: 3, 5\/2, -10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is seven thirds of a week in hours?\nAnswer: 392","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = -w**3 + 21*w**2 + 62*w - 770. What is d(22)?\nAnswer: 110","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = 6*r - 8. Let l(b) = 4*b - 5. Let h(t) = -8*l(t) + 5*q(t). Let i(j) = j**2. Give h(i(u)).\nAnswer: -2*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*r**4 - 3 + 293*r**2 + 300*r**2 - 594*r**2 + 4*r - 10*r to c*r**2 + k*r**3 + m*r + w + g*r**4 and give c.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is (777\/(-39) + -289 + 309)*(2 + 12\/(-9))?\nAnswer: 2\/39","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 140 and 504?\nAnswer: 2520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 57, 59, 71, 99, 149, 227, 339, 491?\n\"Answer: p**3 - p**2 - 2*p + 59","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 328481 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*i + i + 2*i)*(112*i + 1025*i - 466*i).\nAnswer: 4026*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1101951 and 189.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in 0.2, 0.4, 0.03677?\nAnswer: 0.03677","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = l**2 - 2131216*l - 12787340. Calculate r(-6).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from jqmmrqqxqnmmjr. Give prob of picking 2 r, 1 q, and 1 n.\nAnswer: 4\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 6*-716225\nAnswer: -4297350","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ojnojnoqjnnnooqonou. What is prob of sequence juon?\nAnswer: 7\/5168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 650?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 14 + 0 + (24 - (80 - -4))?\nAnswer: -46","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 731249\/4 + -181714. Let q = 1077 - y. Calculate the common denominator of -35\/26 and q.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 5\/(-20) - 810\/(-8). What is s rounded to the nearest ten?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 9102015?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = -j**2 + 1971*j - 127446. What is k(67)?\nAnswer: 122","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from dkdkdkrdckcrk. Give prob of picking 1 k and 2 d.\nAnswer: 15\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.6600032 centuries to decades.\nAnswer: 6.600032","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0 (base 9) to base 12.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1230.5 + 1980. What is t rounded to the nearest 100?\nAnswer: 700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 455967?\nAnswer: 3, 29, 1747","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ffcyfet. What is prob of picking 2 f and 1 e?\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -267 - -817. What is the tens digit of c?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1313 + -1297. What is the smallest common multiple of 280 and r?\nAnswer: 560","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.07, -5, 1, 45.4, 0.1 in decreasing order.\nAnswer: 45.4, 1, 0.1, -0.07, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2 + 11\/7)*23\/(3381\/(-98))?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + (((sqrt(80)\/(sqrt(8)\/sqrt(4)))\/sqrt(8) - -5*(sqrt(5) - (sqrt(5) + sqrt(10)\/(sqrt(8)\/sqrt(4)) + sqrt(5))))*-3)**2 + 5.\nAnswer: 3651","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is (9 - 5) + 1 - 6?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 3 - ((-4)\/2 - 0). Suppose r + 10 = d. Suppose 5*n + 179 + 116 = 5*z, 295 = 5*z + 5*n. Calculate the remainder when z is divided by d.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2516*x**3 + 4401*x**3 - 2366*x**3.\nAnswer: -481*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many tonnes are there in 0.2476557 nanograms?\nAnswer: 0.0000000000000002476557","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*g**2\/15 - 2*g - 88\/15 = 0.\nAnswer: -11, -4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 154*s = 149*s - 5*i + 313715, -5*i + 25 = 0. What is the ten thousands digit of s?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 4 + 312*s + 17 - 21 in the form l + f*s and give f.\nAnswer: 312","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is (-7)\/(((-5)\/(-90))\/((-12)\/216))*25\/(-7)?\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = 3*r**2 + 5*r + 5. Let j(g) = -16*g**2 - 24*g - 24. Let o be 2*15*35\/21. Suppose -2*z - 40 = -o. Give z*j(n) + 24*f(n).\nAnswer: -8*n**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s + 1055 = 6*s. Is s a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 77157184?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = -381*l + 6858. List the prime factors of y(-109).\nAnswer: 3, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 31999 and 9404797?\nAnswer: 103452767","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 494*r - 247*r = 250*r - 3. Suppose 0*y + 8 = -2*y. Let p(q) = q + 7. Let w be p(y). Solve 5*b = -3*f - 8, r = b + f + w for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = -4*h**2 - 11*h - 30. Let j be p(9). Let b = j - -1214. List the prime factors of b.\nAnswer: 761","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b + 8*d - 680 = 6*d, 4*b + d - 900 = 0. Let h = b - 222. Factor 0*l + 3\/4*l**h - 3.\nAnswer: 3*(l - 2)*(l + 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = l**3 + 15*l**2 - 15*l + 24. Let d be p(-16). Suppose -d*a - 834 = -11*a. What are the prime factors of a?\nAnswer: 2, 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + (sqrt(3) - -3*sqrt(3)*4) + (4*(sqrt(18) + sqrt(18) + sqrt(72)))\/sqrt(6))**2.\nAnswer: 290*sqrt(3) + 2548","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 202*n = 197*n + 40. What is the remainder when 39 is divided by n?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (38\/20 - 2)\/(5\/(-80)) and (1 - 13)*2\/37.\nAnswer: 185","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in m**3 - 43896754254*m**2 + 43896754254*m**2.\nAnswer: m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:55 AM and 6:37 AM?\nAnswer: 42","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -29 + 49. Let v be 3\/(-12) + (-315)\/f. Let b = 62 + v. Is b a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = 3*y + 29. Let n(c) = -c - 10. Calculate -17*n(k) - 6*z(k).\nAnswer: -k - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -14 + 77 - 120 - -56?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 34253 is divided by 188?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.11206 minus 26115344?\nAnswer: -26115343.88794","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10 = -5*o - 2*w, 2*o = 4*w + w + 4 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert -100000101000011 (base 2) to base 6.\nAnswer: -205203","meta":{"dup_signals":{},"source":"numbers__base_conversion_test"},"subset":"dm_maths"} +{"text":"Question: Expand (-8*d**3 - 48 + 48)*(18*d**2 + 3*d**2 + d**2)*(-4 + 4 + 1).\nAnswer: -176*d**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z - 9 = 0, -5*x + 12 = 4*z - 0*z. What is the nearest to 0 in 4, x, -5, -1\/3?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 less than -40\/4509061?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round 16.05 to the nearest integer.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22 = 2*q - 5*x, -5*x + 31 = -5*q + 6. What is the common denominator of 1\/48 and q - 0 - 852\/180?\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 18472584 (base 10) in base 2?\nAnswer: 1000110011101111010001000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 8895 and 125716.\nAnswer: 1885740","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 18 - 24 - -6*1. Solve 5*y = -3*k - 1 - 2, 2*y = w for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/3, -13, 17, -4, 9, -8 in ascending order.\nAnswer: -13, -8, -4, -1\/3, 9, 17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 3 divided by -55623\nAnswer: -1\/18541","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -23\/845 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 3*c**5 + 11*c**4 + 28*c**3 - 2*c**2 + 19292*c + 1 wrt c?\nAnswer: 180*c**2 + 264*c + 168","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2114023.8ms to minutes.\nAnswer: 35.23373","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2*-35.109.\nAnswer: 70.218","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -70.815 - -71. Let w = 4.5194 + -5.0194. Which is the biggest value? (a) q (b) w (c) -2\/15\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (63 - (-9 + 0 - (-19 - 1) - 12)) + -3?\nAnswer: 61","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -114.1338 or 2?\nAnswer: -114.1338","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = -5*s**2 + s - 20. Let y(b) = -2*b**2 - 1. Determine d(t) - y(t).\nAnswer: -3*t**2 + t - 19","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/4 in -2, 3\/7, -362, -4?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*f**3\/5 - 77*f**2\/5 - 16*f\/5 + 57\/5.\nAnswer: -(f + 1)*(f + 19)*(4*f - 3)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -5, -3, 1, 85, 4 in decreasing order.\nAnswer: 85, 5, 4, 1, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 17\/4 (b) 2.9 (c) -6\/1231\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express -12*j + 43*j**3 + 81*j**3 + 6 + j**2 + 6*j**3 + 12*j as g + y*j + k*j**2 + s*j**3 and give k.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express -107*a**3 + 12*a + 92*a**3 - 11*a + 11 in the form r*a + u*a**2 + z + v*a**3 and give z.\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 3\/31381 + 4862831\/12803448. Calculate the common denominator of s and 7\/24.\nAnswer: 408","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 479000 rounded to the nearest one hundred thousand?\nAnswer: 500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/5? (a) -369 (b) -6 (c) 1\/5 (d) 3 (e) 0.02\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -a + 2*k = 2, 794*k - 10 = -5*a + 799*k for a.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 846.3137 rounded to the nearest 100?\nAnswer: 800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 524 is divided by 66.\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: (-2*3\/24)\/((-123)\/4428)\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2\/116)\/(((-2604)\/3304)\/93) + 2.\nAnswer: -1\/29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -16 + 6 + 10 - 4*a.\nAnswer: -4*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or -6\/29089037?\nAnswer: -6\/29089037","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -298*p**3 - 283*p**3 + 4026 - p - 286*p**3 + 1139*p**3 - 299*p**3 + 4*p**2 wrt p.\nAnswer: -81*p**2 + 8*p - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = -4925161*w. Let o(q) = -5*q. Determine o(p(k)).\nAnswer: 24625805*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 85023811399 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1 - 0. Let o be (y - -3)*12\/16. Suppose o*p = 4*p. Solve p*i - 6 = 2*i for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) be the first derivative of 9*s**2\/2 + 6*s - 13. Is r(6) a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find o, given that -5*o**3 - 330*o**2 - 645*o - 320 = 0.\nAnswer: -64, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 597 minutes after 3:42 AM?\nAnswer: 1:39 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 15\/14, 3, 1\/6?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1001111 + 111101100011000?\nAnswer: 111101101100111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = 2*r**3 - 11*r**2 - 6*r + 7. Let p be a(6). Let m(f) = 2*f**2 - f**2 - 36 + 36 - 7*f. Determine m(p).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9 + -11 + 2 + 5.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 512860 and -0.04?\nAnswer: 512860.04","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 3555 + -4?\nAnswer: 3551","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 12235790 to the power of 1\/7, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 103\/1908 and 109\/36?\nAnswer: 1908","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -7 + 15. Solve -2*l - x = -4*l for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(119) - (sqrt(119) + -3*sqrt(119))*-2)*1*1)\/(sqrt(42)\/sqrt(6)*-5 - (sqrt(7) + -4*sqrt(7)*-5)))**2.\nAnswer: 153\/676","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3078\/(-133))\/27*20\/8*-7.\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -5\/4601 + -4982848\/32207. Let h = l - -155. Let d = 2.04 + -0.04. What is the nearest to h in 4, -3, d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 29 + -25. Let u(d) = -9*d**2 + 7 + 5*d**2 + 5*d - d**2 + y*d**2. Let t be u(-2). Which is bigger: t or -23\/3?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -65206*d*f**5 - 8*d*f**2 + 9*d*f - 5*f**2 - 302055*f + 2 wrt f?\nAnswer: -1304120*d*f**3 - 16*d - 10","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:27 PM and 6:55 AM?\nAnswer: 688","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 8700, 8702, 8704?\nAnswer: 8706","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + -6*-4*(0 + sqrt(7))*3.\nAnswer: 4 + 72*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 105060913 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-5)\/(-15)*(11 - (-3)\/(-1)). Let t(j) be the first derivative of 32\/3*j + 2 + 2\/9*j**3 - a*j**2. Find g, given that t(g) = 0.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 160771 is divided by 57?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express (i - i + 3*i)*(-2 - 3 + 1)*(3 + 1 - 6)*(36 - 9*i**2 - 36) as q + r*i**3 + p*i + k*i**2 and give r.\nAnswer: -216","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2310?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = -2*s**2 + 29*s + 273. What is x(-7)?\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y - 7 = 2*w, 2*y - w + 0*w - 5 = 0. Suppose 0 = 8*s - y - 5. Which is the third biggest value? (a) -0.07 (b) 2 (c) -1\/7 (d) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*((sqrt(180)*5)\/sqrt(9))\/(sqrt(60)\/sqrt(6)*5))**2.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = 371*r + 2981. Let j be t(-8). Let f(i) be the second derivative of -i**3\/6 + 13*i**2 + i. Is f(j) a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 4 - 4.8. Let q = -3.2 + z. Suppose 1732*o = 1722*o + 30. Which is the biggest value? (a) -1\/7 (b) o (c) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 + 1 - 2 + 60*r.\nAnswer: 60*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 2, -6 in increasing order.\nAnswer: -6, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = -t**3 - 7*t**2 + 9*t + 12. Let w be m(-8). Let s be w\/6 - 5\/12. Let i be 1 + 8\/(-14) - (-136)\/(-448). What is the second biggest value in s, 2, i?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*h = -3*o - 17, 19 = 2*h - 3*o + 42 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(36)\/((sqrt(4) - sqrt(64)) + sqrt(4)) - sqrt(9))\/(sqrt(3) + (sqrt(24)*2)\/sqrt(8)) - (2 + sqrt(432) + 0)**2.\nAnswer: -436 - 97*sqrt(3)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (605 - 649 - (0 - (10 - 1))) + (-58 - -55).\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-2 - (-100)\/42)\/(-36 + 7366\/203). Which is the second biggest value? (a) -3\/14 (b) 2\/7 (c) 6 (d) 3 (e) v\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 24366563371 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 4.044767ng in milligrams?\nAnswer: 0.000004044767","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 2378107 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 3\/17, -38, -0.3, -3, 1\/3?\nAnswer: 3\/17","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vz when two letters picked without replacement from {p: 6, z: 3, t: 1, d: 1, v: 2, e: 2}.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -224, -218, -212, -206, -200, -194?\nAnswer: -188","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 111 = 88*o + 23. Which is the closest to 0.2? (a) -4\/7 (b) o (c) -2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o = 5*o - 514. Let f(a) = a**3 - 26*a**2 - 26*a - 22. Let r be f(27). Find the second derivative of 138*b**r + b + 126*b**5 - o*b**5 wrt b.\nAnswer: 140*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (14 - -4) + (-9 + 0 - (162 - 191))?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 32841 is divided by 31.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*w + 3*z + 25 - 5, 4*w - 3*z = -20. Put w, -4, 2, -3 in descending order.\nAnswer: 2, -3, -4, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in three fifths of a meter?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = -h**3 - 6*h**2 - 37*h - 114. Give g(-4).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = 16*f + 9*f - 3 - 43*f + 5*f + 11*f. Let y(n) = -n**3 + 4*n**2 + 3*n + 4. Let o be y(5). Calculate s(o).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = 4*f. Let h(q) = -4*q + 13. Let u(d) = -2*d + 6. Let j(b) = -6*h(b) + 13*u(b). Determine j(x(a)).\nAnswer: -8*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-174)\/(-2)*(-5)\/(-15). Suppose 0*r - u = -r. Let k = r - 11. Is 5 a factor of k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 9444810?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4\/((-32)\/114)*18*44\/(-594)?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2266 is divided by 34.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 21, 10 in decreasing order.\nAnswer: 21, 10, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = 35*q - 9. Is p(4) a multiple of 22?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j + 2*u + 33 = -j, -j + 4*u = -41. Factor j + 4*w - 25 - w**3.\nAnswer: -w*(w - 2)*(w + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*s - 5*u - 10, 25*s + 4*u = 24*s + 3 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 1, s: 2, u: 1, f: 3, g: 6}. What is prob of sequence fu?\nAnswer: 1\/52","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-150)\/15*3\/(-150)*-4.\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k = -k - 9. Let d = k - 3. Is -2\/11 > d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 17, 0, -51, 1, -4 in ascending order.\nAnswer: -51, -4, 0, 1, 17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 41\/3 - 14. Let h(p) = -p**2 + 110*p + 571. Let d be h(-5). Put -34, k, d in descending order.\nAnswer: k, d, -34","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 1\/((12\/(-15))\/(-4)). Let u be ((-22)\/v)\/((-3)\/15). Let q be 4\/12*(-12)\/u. Put -0.5, q, -1 in ascending order.\nAnswer: -1, -0.5, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -2\/15 (b) -2\/7 (c) 0.05 (d) 50 (e) -29\/6 (f) -5 (g) -2\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -7 - (-8 - -4) - (3 + -4)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-4)\/(-4 + -4)*22. Suppose c*k - 635 = 6*k. Is k a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -6711\/50 or -135?\nAnswer: -135","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = 6*o**2 + 16*o - 8. Is y(6) a multiple of 19?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in five quarters of a litre?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -7 + 8. Let q = 312197\/183 - 1706. Is b > q?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d + 6 = -4*i, -6*d - 15 = -10*d - 3*i. Calculate the least common multiple of d and 186.\nAnswer: 186","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 106 + -104. Suppose 2*y - 228 = -u*b, b = 5*b - 5*y - 438. List the prime factors of b.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 115950.\nAnswer: 2, 3, 5, 773","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = l**3 + 74*l**2 + 134*l - 1186. Let y be a(-72). Which is greater: y or -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = 2*s**2 - 29*s + 66. Give v(12).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1118 + 1118 - 7*w + 3*w**3.\nAnswer: 3*w**3 - 7*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 34*r = -2*r + 180. Let k(v) = 7*v**2 - 9*v + 6. Let f(n) = 5*n**2 - 8*n + 6. Let b(w) = 3*f(w) - 2*k(w). Calculate b(r).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -24 - -24. Let h be 102\/34 + k\/(-2). Is (h - 8) + (2 - -4714) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (12\/10)\/((-244)\/(-305))?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 405362 by 1682.\nAnswer: 241","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 2\/3 - (-12)\/9. Let 2\/3*z**y + 0*z + 0 + 0*z**3 - 2\/3*z**4 = 0. Calculate z.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -53*l**2 + 177*l**2 - 65*l**2 + 80*l**2 + 192*l**2.\nAnswer: 331*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -375 + 10?\nAnswer: -365","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -1038, -1044, -1040, -1020, -978, -908, -804, -660?\n\"Answer: x**3 - x**2 - 10*x - 1028","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 42254.93 weeks to milliseconds.\nAnswer: 25555781664000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 180\/400*20\/30?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -24 - 13*b**4 - 20 + 10*b**4 - b - 6*b**2 + 16 + b**4 to m*b**2 + r + j*b**3 + h*b**4 + a*b and give r.\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 5\/6 in 0.5, 3, -0.099?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify n**(1\/26)\/n*n\/(n*n*n**(-1)) assuming n is positive.\nAnswer: n**(-25\/26)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -6 (b) 16 (c) -6\/11 (d) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 3546145111 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 77 + -213. Let r be t + (3 - 0) + -3. What is r rounded to the nearest 10?\nAnswer: -140","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(-30)*q**(-31))\/(q*q\/(q\/(q\/q**(1\/39)))*q)**(4\/9) assuming q is positive.\nAnswer: q**(-21875\/351)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((3 + 3 - 4)*(-3*n + 2*n - n) - 1 + n + 1)*(2*n - 2*n + 2*n + (-4 + 2 - 1)*(2*n + 4*n - 7*n) - 9*n + 12*n - 11*n).\nAnswer: 9*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*i**2 + 3230896*i - 3230898.\nAnswer: 2*(i - 1)*(i + 1615449)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 28957 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gss when three letters picked without replacement from sgsgsgssgsssssssss?\nAnswer: 91\/612","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 4 and 1256?\nAnswer: 1256","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m + 2*m = -3. Let k(c) = 0*c + 2 + c - m. Suppose -j + 22 - 16 = 0. What is k(j)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 8792, 8362, 7934, 7502, 7060, 6602, 6122, 5614?\nAnswer: 5072","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 84 and 196?\nAnswer: 588","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17*k - 4*k = -k for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 739*c**3*m*t - 430*c**3*m + 2*c**3*t**2 + 33*c**2*m*t**2 - 90*c**2*m + 54*c*m*t**2 wrt c.\nAnswer: 4434*m*t - 2580*m + 12*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -d5a47b - -2?\nAnswer: -d5a479","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1787 and 762470012.\nAnswer: 1787","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 3282358*o**2 + 4*o*s**2 - 53220232*s**2 wrt o?\nAnswer: 6564716*o + 4*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 777 + 39. What is the highest common factor of 510 and u?\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 499, 2995, 7291, 13387, 21283, 30979, 42475?\nAnswer: 55771","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 480, 639, 798, 957?\n\"Answer: 159*m + 321","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 7296 - -4?\nAnswer: 729a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (252\/(-198))\/(-14)*(-3)\/3.\nAnswer: -1\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) be the second derivative of 7*b**4\/12 + 25*b**3\/6 - 24*b. Find the second derivative of v(d) wrt d.\nAnswer: 14","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 31*r**3 - 47*r**3 + 8 - 8.\nAnswer: -16*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 33 a factor of (-16)\/6*482628\/(-296)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(2\/25)*a)\/(a\/(a\/(a*(a*a*((a\/a**(-4\/7))\/a*a)\/a)\/a))) assuming a is positive.\nAnswer: a**(-261\/175)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 133324439?\nAnswer: 67, 71, 28027","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1 - 1100000?\nAnswer: -1100001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = -u**2 + 9*u + 53. Let r be 14 - (5 - 7)\/(-2). What is a(r)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 192 - 130. Let t(k) = 2*k + 10. Let a be t(11). Let j = a + -16. Calculate the remainder when v is divided by j.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) be the first derivative of -26\/3*x**3 - 2\/5*x**5 - 8*x - 12*x**2 - 3 - 3*x**4. Find z such that b(z) = 0.\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 5.79 + -0.59. Let p = a - 1.2. Let d = 12 - p. Which is smaller: -0.3 or d?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = -601*h. Let o(f) = 2*f + 393. Give o(x(z)).\nAnswer: -1202*z + 393","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19*u = 18*u + 1. Let t(y) = -47*y**3 + y - 6*y**2 + 46*y**3 + 5*y**2 - u. Determine t(-3).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 28370 + -28302. Calculate the remainder when 128 is divided by n.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in three sixteenths of a day?\nAnswer: 16200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) be the third derivative of 91*p**6\/216 + 22*p**5\/135 - p**4\/18 + 125*p**2 - 2. Factor g(m).\nAnswer: m*(7*m + 2)*(65*m - 6)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x = 9*x - 8. Solve 6*f**x + 10 + 14*f**2 - 2757*f + 2782*f + 5*f**3 = 0.\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify w**(-1\/2)*w\/w**(-1\/3)*(w\/w**(-1\/9))\/(w**(-1)*w) assuming w is positive.\nAnswer: w**(35\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = 50*u. Let x(v) be the third derivative of v**5\/30 + 3*v**2 + 6*v. Calculate d(x(b)).\nAnswer: 100*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 8031173, 8031174, 8031175?\n\"Answer: l + 8031172","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 8, c: 2, u: 2, x: 1}. Give prob of picking 1 x and 1 c.\nAnswer: 1\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 2\/171 + 112\/171. What is the closest to -1.2 in -0.3, l, -1\/2, -2?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s - 2*h = -s - 6, s + 3*h - 7 = 0. Find the second derivative of 4 + 2*p**s + 4 - 8 - 33*p**2 + 16*p wrt p.\nAnswer: 24*p**2 - 66","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j = 5*m + 39810, 0 = 9*m - 7*m + 12. List the prime factors of j.\nAnswer: 2, 3, 13, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2*u**5 + 45*u**4 + 148*u**2 - 2.\nAnswer: -120*u**2 + 1080*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*y - y - 10 = -2*w + w + 4*y, -5*y = 20 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 e and 1 j when three letters picked without replacement from {s: 5, j: 1, t: 1, e: 7}?\nAnswer: 3\/52","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 2489 and 1615.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 1*2*6\/4. Let r = 33 + -46. Let y = r - -12. Sort 5, c, y in ascending order.\nAnswer: y, c, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2 - -2) + 13 + -37.\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (44183*s**2 - 44183*s**2 - 17*s**3 + 10)*(-11 - 20 - 1)*(-s + 1 - 1).\nAnswer: -544*s**4 + 320*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4800 + 4849 - (44 + -2)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.55 + -16.95. Which is smaller: y or 2?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) be the first derivative of n**6\/120 + n**5\/40 - n**3\/3 - 2. Let p(x) be the third derivative of b(x). Factor p(j).\nAnswer: 3*j*(j + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1702\/13 + -131. Suppose 5*h - 2*r - r - 24 = 0, -2*r = -5*h + 26. Let f = h + -5. Is f equal to t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 1185 divide 68852471?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 707 minutes after 1:53 AM?\nAnswer: 1:40 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 22 - 25. Let b be (-2 + -1)\/(u\/4). Find the first derivative of 3*f**3 + f**3 - b - 3 wrt f.\nAnswer: 12*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 125 = u - 6*u + 4*y, 3*y - 72 = 3*u. Let k = 31 + u. Let x = -20 - -36. Solve 0 = -4*c - 5*i - 2, -3*i - x = -3*c - k*c for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -4091\/9 - -455. What is the closest to -1 in f, 0.2, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2 - 1169*h**5 - 2 + 80*h**2 + 1162*h**5 wrt h?\nAnswer: -420*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 20\/63 and -107\/18?\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2.6 in -1, -5, -96450?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p + u + 7 = 0, 5*p - 6 + 11 = -3*u. Let c(y) = -18*y**3 - 2*y + 2. Let q(i) = i - 1. Determine p*q(z) + c(z).\nAnswer: -18*z**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: (6 + -10 - 2) + -63 + 33 + 69\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -p = 2*a + 5, 8 = -30*a + 28*a + 2*p for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) be the third derivative of -19*h**2 + 1\/10*h**5 + 0 - 1\/120*h**6 + 0*h + 17\/24*h**4 - h**3. Let f be t(8). Let u(m) = m**3 - 2*m + 2. Give u(f).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = 3*t**2 - 4*t - 574. Let k be i(-14). Solve 22*p + 13*p = k for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5 - x**2 - 596 - 22 - 2*x**3 - 187.\nAnswer: -2*x**3 - x**2 - 810","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 4\/(-2) + 48 + -6. Let s = a + -40. Suppose s = -7*z + 6*z. Solve 4*c - 5*t = 11, z*t - t - 19 = -5*c for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Solve -2633*k + 6633*k - 13779 = -2884*k + 6873 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 23460 and 301530?\nAnswer: 690","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 120294768 to the nearest integer?\nAnswer: 10968","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(((sqrt(2057) - 2*sqrt(2057))*1)**2 + ((sqrt(2057) + 1 + sqrt(2057))*-4)**2 + -5*(1 + 3*(sqrt(17) + 0))**2).\nAnswer: -398853 - 2022*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 383501?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -14889, -14959, -15013, -15045, -15049?\n\"Answer: v**3 + 2*v**2 - 83*v - 14809","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = -o**3 - 4*o**2 + 4*o - 10. Determine y(-5).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 7339*-1130\nAnswer: -8293070","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 30 + -27 - ((2 - 0) + (-5 - 3)).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s = -6*s. Let k = -6.4 - 0.6. Let z = k + 6.7. Which is the nearest to s? (a) 1\/4 (b) -0.5 (c) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -4748 - -4745. Let l be (-5)\/(-6) - (-5 + 8)\/6. What is the closest to l in -0.09, 2\/13, s?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.8, 2\/15, -25763 in ascending order.\nAnswer: -25763, 2\/15, 0.8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sum -990 and -42.26012.\nAnswer: -1032.26012","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11 + 9 = 4*l - 5*u, 0 = 4*l + 3*u - 20 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -52 + (512314\/(-121))\/58.\nAnswer: -125","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7606 divided by -6.\nAnswer: 3803\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 10110011111001111111101 + -10?\nAnswer: 10110011111001111111011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 600 and 1599560.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) be the first derivative of h**6\/30 - 2*h**2 - 4*h + 4. Let a(p) be the first derivative of z(p). Differentiate a(w) wrt w.\nAnswer: 4*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((t\/t**11)\/(t**(-10)*t))**(8\/11))**7)**47 assuming t is positive.\nAnswer: t**(-2632\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q - 3*p = -27, 3 = -5*q + 2*p + 8. Suppose 8*x - q = 13. Solve -x*f - 3 = 1 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -12523 - -43191. What is the thousands digit of s?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -17916646 by -8958323.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 p and 1 v when two letters picked without replacement from {p: 10, d: 2, r: 1, v: 1}.\nAnswer: 10\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 86*j**2 - 58*j**3 + 113*j**3 - 17*j**2 - 54*j**3.\nAnswer: j**3 + 69*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 69 minutes before 8:59 AM?\nAnswer: 7:50 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.8 + -0.3. Let a = -25 + 35. Let d be a\/6 + 6\/(-9). What is the closest to d in 0.1, 3, b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 408880 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 13 - ((-57)\/(-3) - 710\/71)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.062 times -0.5?\nAnswer: 0.031","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 21916 greater than or equal to 21889?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j = 4*l - 64, j - 2*j + 94 = 5*l. Is l a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 61*d - 63*d = c + 7, -5*c - 5*d - 10 = 0 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00284269626 to 4 dps.\nAnswer: 0.0028","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -52 - 3392356147889\nAnswer: -3392356147941","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1\/4)\/(98\/392).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -2*(1 - 0)*-1. What is the first derivative of 1 - 2 - a + 2*y**2 wrt y?\nAnswer: 4*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 less than 2\/37069?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 47492, 95027, 142608, 190259, 238004, 285867, 333872?\nAnswer: 382043","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -91, -94, -97, -100?\n\"Answer: -3*h - 88","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand s - 2*s + 3*s + (-3 - 1 + 2)*(0*s - s - s) - 22 - 47*s + 25*s + 25*s.\nAnswer: 9*s - 22","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = l**3 - 17*l**2 - 16*l - 26. Let m be 468\/(-130)*(4 + -9). Determine j(m).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor y**3 - 6*y**2 - y + 6.\nAnswer: (y - 6)*(y - 1)*(y + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -82391138 divided by 82391138?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4595 is divided by 1528.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 224 + 3?\nAnswer: 227","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w + 10 = -w, 5*w = 4*t - 29. Let k(s) = -4*s**3 - 2*s**2 - s + 1. Let f be k(t). Let u be (-1)\/(3\/(-3))*(-2)\/f. What is the closest to 0 in 2, -3, u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = t**2 + 5*t - 9. Let l be m(-7). Suppose 0 = -12*p + l*p + 28. Let d = p - 3. Solve -2*h + d = 11 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -28*o - 512 = -1884. What is the units digit of o?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -167*n**2 + 24*n + 21*n - 42*n in the form t*n**2 + r + a*n and give t.\nAnswer: -167","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m + 1 = 5*j, 3*m + j = -0*m - 5. Let o be (1 + 21\/(-12))*584\/m. Suppose 5*r = -f - 2*f + o, 4*f = -r + 54. Does 14 divide r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 949 or 1\/4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-1696)\/(-954)*(-2 + (45\/(-4))\/(-3)). Let j be 18\/10 - (-1)\/(-1). What is the nearest to l in j, 0, -2?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -349 - -370. What is the first derivative of -60*c**4 + 64*c**4 + 70*c**4 + i wrt c?\nAnswer: 296*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-1)\/6 + (-374)\/(-12) + 5. Suppose b = -4*o - 40, -b = -4*o + 26 + 6. Let d = l + b. What is the nearest to 8 in -2\/5, 4, d?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 10 - -93. Does 40 divide i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.2 and 18653.\nAnswer: 3730.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = -b**3 + b**2 - b + 1. Let a(y) = -52*y**3 + 3*y**2 - 2*y + 5. Let c(i) = -a(i) + 5*k(i). Calculate the remainder when 272 is divided by c(1).\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 7 - 64?\nAnswer: -55","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {l: 7, r: 4}. What is prob of sequence lll?\nAnswer: 7\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w = 13 - 4. Suppose w*v - 76 = 137. Is v composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.94 + -0.94000188. What is d rounded to 7 dps?\nAnswer: -0.0000019","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1259 to the nearest integer?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) be the second derivative of v**5\/20 + 5*v**4\/6 + 7*v**3\/3 - 7*v**2 + 255*v - 2. Give d(-8).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -174.7 less than 0.02?\nAnswer: 174.72","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) be the second derivative of -14*h**6\/15 + 5*h**3\/2 - 10*h. What is the second derivative of u(s) wrt s?\nAnswer: -336*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 29743952?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 + 5 - 2*l)*(3*l**2 - 2*l**2 + l**2) - 3*l**3 + 5*l**3 - 3*l**3 + (0 - 3 + 2)*(-3*l**2 + 3*l**2 - l**3) + 5*l**3 - 2*l**3 + 15*l**3.\nAnswer: 14*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5*(-2)\/(-5)*8\/88.\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -1841536, -1841538, -1841540, -1841542, -1841544, -1841546?\n\"Answer: -2*n - 1841534","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -17*d - 16*d + 58*d - 29*d + 184*d**2 + 482 wrt d?\nAnswer: 368*d - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 402 - 29. Suppose 0 = 2*u + 2*y - q - 389, -3 = 3*y. What are the prime factors of u?\nAnswer: 2, 191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 29\/5 of a tonne in kilograms?\nAnswer: 5800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 l and 2 y when three letters picked without replacement from bylpybyybbybbylby.\nAnswer: 21\/340","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -1016*j + 8.\nAnswer: -1016","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:32 AM and 10:15 AM?\nAnswer: 283","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 111 is divided by 29?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yq when two letters picked without replacement from mymzzyyzqyzzyyyy.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 194210?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -301 + 301.0000348. Round w to 6 decimal places.\nAnswer: 0.000035","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -0.59, 0.2, -2.\nAnswer: -2, -0.59, 0.2, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2967 is divided by 114.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 5 - 1\/(-1) - 398*-127?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -23 - 0?\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -25 = -3*u - 22 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-2)\/(-5))\/(-7 + 9). Let g(y) be the second derivative of -1\/30*y**4 + k*y**2 + 1\/15*y**3 - 1\/50*y**5 + 2*y + 0. Factor g(o).\nAnswer: -2*(o - 1)*(o + 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = -n + 3. Let i be s(-1). List the prime factors of 15*i\/(-12)*378\/(-10).\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 210 and 3486?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (6\/(-44))\/(21\/427) and 47\/40.\nAnswer: 440","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = g**2 + g - 1. Let y = -31 + 27. Let u(p) = -6*p**2 - 7*p + 7. Determine y*u(j) - 28*d(j).\nAnswer: -4*j**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 423089 is divided by 4648?\nAnswer: 121","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -627\/14 + 6869\/154. Let z = -0.2 + 0. Sort -5, g, -4, z.\nAnswer: -5, -4, z, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -1204584*t**5 + t**4 - 28*t**2 - 3281 wrt t.\nAnswer: -72275040*t**2 + 24*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5446, 9, -4 in increasing order.\nAnswer: -4, 9, 5446","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = -g - 9. Let w be x(-3). Let s(r) be the first derivative of -r**3\/3 - 3*r**2 - 9*r - 1128. What is s(w)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 47 = 3*x - 22. Let s(u) = 3*u - 55. Let a(j) = -1. Let t(f) = 2*a(f) - s(f). Let h be t(16). Solve 3 - x = h*y for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8522?\nAnswer: 2, 4261","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) be the first derivative of 20*a**3\/3 + a**2\/2 + 2*a - 7. Is 16 a factor of g(-2)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-2)\/((-2)\/(58 - -6) + 0). Let z be (45\/6)\/(9\/24). Let j be (-12)\/(-10)*z\/3. What is the greatest common factor of s and j?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = -18*m**2 - 86*m + 19. Let f be p(-5). What is the second biggest value in 0.3, f, 908?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -292 - -297. Let w(p) = 3*p - 19. Let u be w(7). Sort u, -9, j, -2 in decreasing order.\nAnswer: j, u, -2, -9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 13516279.9679 - 13516931. Let i = p + 651. Round i to 3 dps.\nAnswer: -0.032","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z = -z. Let d be 45\/10 - 2\/4. Suppose n = -z*n + d. What is the units digit of n?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 129844995.\nAnswer: 3, 5, 7, 67, 18457","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-4*x + 0*x + 2*x)*(0 - 1 + 0) + ((3 - 6 + 1)*(0 + 0 - 2) + 29 - 41 + 58)*(3*x + x + x))*(1 + 1 - 1).\nAnswer: 252*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 343023570.\nAnswer: 2, 3, 5, 3811373","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2 or -1747\/948?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = -2*u + 2. Suppose 13 = -4*p - 3. Let f be o(p). Suppose -3*a = -42*a - 78. Sort a, -3, f.\nAnswer: -3, a, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 456 minutes after 12:29 AM?\nAnswer: 8:05 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 1105133 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24 = 2*t + 4*s, -t - 5*s = -4*s - 9. Do t and 5 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 2336 and 32?\nAnswer: 2336","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 6630 and 4080?\nAnswer: 510","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = -69*p**3 - 4*p**2 - 5*p + 5. Let t(l) = 69*l**3 + 2*l**2 + 6*l - 6. Calculate 6*j(b) + 5*t(b).\nAnswer: -69*b**3 - 14*b**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -3222 - 103?\nAnswer: -3325","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 88339.92 weeks?\nAnswer: 890466393.6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from nbwxwwxywnyxnnwbywo. Give prob of sequence ob.\nAnswer: 1\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = -16*x + 4091. Let s(a) = -a**2. Give t(s(g)).\nAnswer: 16*g**2 + 4091","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = -w**2 - 18*w - 49. Let f be (-22)\/(-4)*(-4 - 2 - -4). Let x be i(f). Suppose 4*u - 16 + 4 = 0. Solve -o - x = -5*m, -4*o + u*m - 37 = -2*m for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 204 minutes before 7:53 PM?\nAnswer: 4:29 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*l**3 - 796744*l**2 - 1062288*l + 1062304 = 0. Calculate l.\nAnswer: -66394, -2, 2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 - (0 - 0) - 5.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*m**3 - 125*m + 15*m**3 + 124*m as s + c*m**2 + w*m + q*m**3 and give w.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 603, 1616, 3047, 4896, 7163, 9848?\nAnswer: 12951","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = -o**2 - 3*o - 24. Let z be u(11). Let r = -178 - z. Solve 3*p - 6*p - 9 = r for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((m**(-3)*m)\/m**3)\/(((m*m**4*m)\/m)\/m**(-3)))\/((m**(-2\/9)*m**4)\/(m\/(m*m**0*m*m*m*m)*m\/(m*m*m**1*m)*m)) assuming m is positive.\nAnswer: m**(-205\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_test"},"subset":"dm_maths"} +{"text":"Question: Simplify u**(-8\/17)\/u*u*u**(-25)*(((u**6\/u)\/u)\/u)\/u**(-9\/11) assuming u is positive.\nAnswer: u**(-4049\/187)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zhz when three letters picked without replacement from zhzhh.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) be the first derivative of 0*o + 0*o**3 + 0*o**2 - 69 + 1\/9*o**6 - 2\/5*o**5 + 1\/3*o**4. Factor b(i).\nAnswer: 2*i**3*(i - 2)*(i - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 47 + -38. Suppose -44 = i*q - 11*q. What is the tens digit of q?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -142.06 - -142. What is the second smallest value in 0.1, r, 0.23?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -479 + 287 = 16*p. Let u(n) be the second derivative of -n**5\/20 - 13*n**4\/12 - 10*n**3\/3 - 13*n**2 + 2*n. Does 35 divide u(p)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 4, -5, -3, 310 in increasing order.\nAnswer: -5, -3, 0, 4, 310","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*r**3 - 4*r**3 - 34*r**3.\nAnswer: -34*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -21*z - 73*z - 264*z + 95*z - 229*z - 2*z**3 to the form i*z**2 + f*z**3 + k + q*z and give f.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -8774522\/1251 - -7014. Find the common denominator of c and 14\/417.\nAnswer: 1251","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 6 and 11601.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 210 is divided by (3465\/(-605))\/(1\/(-11))?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u*u*u**(-4\/3)*u*u)\/(u\/u**(3\/2))*(u\/((u\/(u**7*u))\/u))\/u*u**(-8))**49 assuming u is positive.\nAnswer: u**(931\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*m + 5*m + 56 = 0 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 13984, 0, -4, -16 in increasing order.\nAnswer: -16, -4, 0, 13984","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 49729 to the power of 1\/2, to the nearest integer?\nAnswer: 223","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o**2\/9 + 406*o\/9 + 41209\/9 = 0. Calculate o.\nAnswer: -203","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j + 773 + 209 = 3*g, 0 = -3*g - j + 962. Suppose -5*x = -128 - g. What is the greatest common factor of x and 18?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -43, -39, 35, 233, 609, 1217?\nAnswer: 2111","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x - 80 = 5*u, -9 = 2*x + x. Let w = 93 + u. What are the prime factors of w?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 11\/12 and 17\/599502?\nAnswer: 1199004","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -9 - -11. Suppose -2*t - l*s + 79 = t, -4*s = 3*t - 83. Let g be (-3 - t)\/(1\/(-2250)). Round g to the nearest ten thousand.\nAnswer: 60000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*c**2 + 5*c**2 + 3*c**2 - 3*c**2 + 69*c + 0*c**2 as i*c**2 + n*c + x and give i.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 24.02373 litres in millilitres?\nAnswer: 24023.73","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*w = -5*j - 12*w + 35800000, 6*w = 0. What is j rounded to the nearest 100000?\nAnswer: 7200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 112375 is divided by 349?\nAnswer: 346","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Do 0 and -284\/12565 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -331, -338, -351, -370, -395, -426?\nAnswer: -463","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*y + 4*i - 8, -9 = -3*y - i - 0*i. Solve -3*s - 5*r - 11 = 13, 0 = 4*s - y*r for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 143\/336 and 8\/40845.\nAnswer: 653520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(176)\/(sqrt(36)\/sqrt(9)) - (sqrt(264)*5 - sqrt(264))\/sqrt(6))\/((sqrt(32) - (sqrt(256) - (sqrt(256) - sqrt(256)*-3))\/sqrt(8))\/(1*sqrt(512))).\nAnswer: -6*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -100*(-902)\/1230 - 74?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = -12216*m + 171121. Calculate b(14).\nAnswer: 97","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-3)\/6)\/((-2)\/(-8) + 0)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((90\/8)\/3*(-6344)\/(-31720))\/((-246)\/(-16)).\nAnswer: 2\/41","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 56606011 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = 610*b + 2445. Let i be c(-4). Let j = 26 - 14. Let h be j\/8 + 2\/4. Solve -h*v + i*v = 6 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t + 5*o - 6 = 20, 0 = 5*o + 10. Does 6 divide t\/1*(-1)\/2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 - (2 + 4) - (2 + 5 - -2)?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let -8*n**4\/15 + 142*n**3\/5 - 5404*n**2\/15 - 666*n + 25272\/5 = 0. Calculate n.\nAnswer: -4, 13\/4, 27","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -2 from 1.291.\nAnswer: 3.291","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4 - (2 - 3)) + 1?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Are 1\/14927623 and 0 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*b + 7*b**3 - 3*b)*(b - 5*b + 2*b) + 3*b**4 + b**2 - b**2.\nAnswer: -11*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5337 - 5178 + 32679 = -1847*i - 16623 for i.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put 20, -793738, -1 in descending order.\nAnswer: 20, -1, -793738","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*((sqrt(130) + (sqrt(130)*-2 - sqrt(130)))*5 + sqrt(130) - sqrt(130)))\/(3*(sqrt(490) - sqrt(490)*3 - sqrt(490) - sqrt(490))).\nAnswer: 25*sqrt(13)\/42","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 u when three letters picked without replacement from {u: 8, a: 2}?\nAnswer: 7\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 269*i - 4974 + 20444 + 4436 for i.\nAnswer: -74","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 122*q - 386*q - 2*q + 135*q.\nAnswer: -131*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 17 - (-34 + 62 + -33) - -48.\nAnswer: 70","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p**2 - 10568*p + 6980164 = 0. What is p?\nAnswer: 1321","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jj when two letters picked without replacement from {q: 3, e: 4, g: 3, j: 5, c: 3}.\nAnswer: 10\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 n and 1 c when two letters picked without replacement from kcjckjnjkcfkkcnjnff.\nAnswer: 4\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = n**3 - 2*n + 83. Let b(f) = -f**2 + 22*f + 48. Let v be b(24). What is the remainder when h(v) is divided by 31?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find i such that 2*i**4\/15 - 20036*i**3\/15 - 80258*i**2\/5 + 541648*i\/15 - 56168\/3 = 0.\nAnswer: -14, 1, 10030","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 26604 and 2124.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 2878.395 + -2876. What is f rounded to one decimal place?\nAnswer: 2.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (209\/(-2508))\/(2\/((-16)\/(-6)))?\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -455, -367, -141, 289, 989?\nAnswer: 2025","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 819, 1740, 2697, 3702, 4767, 5904?\n\"Answer: 2*z**3 + 6*z**2 + 889*z - 78","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(75) + -1 + 4 - (sqrt(75) - ((sqrt(75) - (sqrt(75) + 0 + sqrt(75)))*-5)**2).\nAnswer: 1878","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = t**3 + 34*t**2 + 234*t + 459. Give f(-27).\nAnswer: -756","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k\/((k**(1\/4)*k)\/k)*k**(-24\/7))\/(k*k**13)**(-15\/2))**(-26) assuming k is positive.\nAnswer: k**(-37245\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/3, -7\/14107, -0.1 in increasing order.\nAnswer: -1\/3, -0.1, -7\/14107","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 4142, 4150, 4168, 4202, 4258, 4342, 4460?\n\"Answer: m**3 - m**2 + 4*m + 4138","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (3\/9 - 0)*255\/5. Let x(u) = -17*u + 36*u - a*u. Let w(t) = -26*t**2. What is w(x(z))?\nAnswer: -104*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7061299 is divided by 1369.\nAnswer: 1366","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -16 + c94?\nAnswer: c7d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -145\/277728 and -91\/25769792?\nAnswer: 850403136","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ttstttttttttsstttt. Give prob of sequence ttts.\nAnswer: 91\/816","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence aw when two letters picked without replacement from epepwac?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 208910?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = 73955*t - 3241. Let y(x) = -13446*x + 589. Let k(z) = -5*p(z) - 28*y(z). What is the first derivative of k(m) wrt m?\nAnswer: 6713","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1 - -4 - (-2 + 1)) + 9 + -18 - -46?\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 18\/12*(-2)\/(-3). Let k be (-2 + 3)\/1 - j. Let t be 19\/(-60) + 4\/10. Which is smaller: k or t?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 2193 and 43?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is j in -22*j**2 - 670862*j + 10251024 = 0?\nAnswer: -30509, 168\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*n - 1 = 2*r + 3*n, 0 = 6*r - 2*n + 20 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n + 5*o + 18 = 3*o, -2*n - 17 = 3*o. What is the tens digit of (-2)\/n*(9 - -265)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 392123.1kg?\nAnswer: 392123100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = 25*z**3 + 7*z**2 - 7*z + 7. Let r(u) = 13*u**3 + 3*u**2 - 3*u + 3. Suppose 20 = 4*x, -23*t - 4*x + 29 = -20*t. Calculate t*b(d) - 7*r(d).\nAnswer: -16*d**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 5681?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 248*m - 245*m = -4*x + 6549, 2*m - 4913 = -3*x. Is 8 a factor of x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 475 + -475. Which is the nearest to -1\/2? (a) 0.2 (b) u (c) 1 (d) 1\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 1, u: 2, z: 1, j: 1}. Give prob of sequence ju.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 2 - 2. Let w be 1 + 1 + k + 5. Let b(g) = g - 10. Let h be b(w). Put h, 4, -0.2 in decreasing order.\nAnswer: 4, -0.2, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = -18*h**3 + 14*h**2. Let q(f) = -2*f**3 + f**2 + 2*f + 2. Let d(i) = 26*i**3 - 15*i**2 - 20*i - 20. Let m(z) = -d(z) - 10*q(z). Give 3*l(o) - 8*m(o).\nAnswer: -6*o**3 + 2*o**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s - 3*v - 36 = 0, -2*s + s + 8 = -v. Suppose 5*j = i + j, -j = -3*i - 33. Let g = s + i. Solve 0 = -g*n + 2*n for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 120*d - 33*d + d**2 + 5715*d**3 + 0*d**2 - 114*d - 11 wrt d?\nAnswer: 34290","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 32\/5 of a hour in minutes?\nAnswer: 384","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Add -1 and 1.56555.\nAnswer: 0.56555","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 29 + -6. Let v = -25 - -142. Calculate the remainder when t is divided by 2\/((-6)\/v*-3).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 628, 633, 648, 679, 732?\n\"Answer: c**3 - c**2 + c + 627","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 21 - (5 + (43 - 29) - -25)?\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (308\/8085*-35)\/(2\/39)?\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = 3*g**2 - g**2 - g**2. Let m(c) = 38780*c - 77591*c + 38785*c. Give z(m(s)).\nAnswer: 676*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*c - 4*c = -5*a - 9, 1 = 4*c - 5*a for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 2\/(-8) - (-14)\/(-8). Let u = -5 + 5.2. What is the closest to u in h, -0.3, 1\/6?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p - h = 615, 5*p - 2*h - 667 = 357. Suppose 13 = -5*y + 18, 2*y + 322 = -4*l. Let u = p + l. Does 12 divide u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 3\/5 of a litre?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 772625813?\nAnswer: 613, 1260401","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 924 and 3828.\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 58963412726 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 137077 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-1001)\/462*(-3*6\/(-45))\/1. Which is the third smallest value? (a) -5\/3 (b) -11 (c) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (0 - -7) + -2 + -1. Let j be 1 + 2*2\/p. Factor 18*i + 12 - 15*i**j - 8*i + 8*i + 6*i.\nAnswer: -3*(i - 2)*(5*i + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 1109, 3, 0.01, -1?\nAnswer: 1109","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = 22*z - 8. What is the tens digit of m(3)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 1 (b) 809 (c) 4 (d) -4\/283 (e) -0.3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0 - 24*m - 9 + 9.\nAnswer: -24*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 5\/15 + (-4)\/(-6). Find the common denominator of 40\/v*(-25)\/(-140) and 27\/16.\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = k - 6*k + 20. Suppose 52 = -l + x, -4*x = -k*l + l - 161. Let n = -6 - l. Calculate the remainder when n is divided by 11.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1523236927 to the power of 1\/2, to the nearest integer?\nAnswer: 39029","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) be the second derivative of z**3\/6 + 9*z**2\/2 + 5*z. Let r be y(-6). Find the second derivative of t**4 - 2*t - 2*t**3 + 2*t**3 + 0*t**r wrt t.\nAnswer: 12*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 2 + -3 + -2 - -8. Suppose -3*m = 5*t - 6, 7 = -3*t + 5*m + 31. Solve 3*p + 2 - 5 = 0, t*q - 4 = l*p for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 138.6306 milligrams?\nAnswer: 0.1386306","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 - (1 - (4 + -8) - 8).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = -2*o**3 + 215*o**2 + 315*o + 270. What is v(109)?\nAnswer: -1038","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 137470 is divided by 22911?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 518 + 3060 = 1789*w. Let y(d) = -111*d + 33. Let p(z) = 7*z - 2. Let t(q) = -q**2 - q + 33. Let u be t(0). Give u*p(f) + w*y(f).\nAnswer: 9*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 1036201 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q\/q**(-6)*q\/q**(-2\/3)*q*(q*q*q\/(q\/(q*(q*q\/q**1)\/q)))**(4\/13))\/(q**(5\/6)\/(q**(-11)\/q*q))**38 assuming q is positive.\nAnswer: q**(-5708\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 129 + (111 - 422) + 112?\nAnswer: -70","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = -3 + 0*i + 7*i - 4*i. Suppose -33 = -0*z - 4*z + 5*y, 17 = z - 3*y. Calculate u(z).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 557b (base 16) in base 10?\nAnswer: 21883","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -134 or -6?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 97670.7 - 97677.69997. Let c = -0.4 - -7.4. Let z = f + c. What is z rounded to four decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 89408830 to the nearest integer?\nAnswer: 447","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = -2*v. Let z = 15 - 11. Suppose -5*c - 33 = -z*y, 5 = 5*y - 0*y + c. Let a(g) = 4*g**2 - 5*g**2 - g**y + 4*g**2. What is a(f(o))?\nAnswer: 8*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -0.2 (b) 0.4 (c) -4 (d) -2.03\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -j - 2 + 7. Suppose -11 = -3*n + m, 0 = 2*n - j*m + 1 - 4. Solve -n*u + 5*s = -13, s = -u + 4*s + 12 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 37*p**4 - 2*p**2 - 4*p**3 + 9*p**2 - 5*p**2 + 5*p**3 to f*p**4 + r*p**3 + g*p**2 + n*p + b and give f.\nAnswer: 37","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -37*z = -41*z + 16. What is the greatest common factor of z and 12?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*y - 4 + 0 = 0, -16 = 4*p + 4*y for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) be the third derivative of 2*c**5\/15 - 4*c**3 - 2*c**2. Differentiate g(i) with respect to i.\nAnswer: 16*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*(3 + sqrt(7)*-1)**2 - (-3 + (sqrt(56)\/sqrt(8) - sqrt(7)) + 1)) + 4.\nAnswer: -24*sqrt(7) + 70","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*x + a + 18 + 5, -3*x + a = -36. Calculate the remainder when 1906 is divided by x.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from arraaaaarhraaaaaaara. Give prob of sequence rarr.\nAnswer: 7\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (4\/5)\/((-663)\/442*(-4)\/30). Factor 0 - 10\/3*w - 5\/3*w**k + 22\/3*w**3 + 17\/3*w**2.\nAnswer: -w*(w - 5)*(w + 1)*(5*w - 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + 4 + 3*sqrt(75) + 4.\nAnswer: 10 + 15*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*k**4 - 24*k**2 - 32*k = 0. Calculate k.\nAnswer: -2, 0, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/7? (a) 121 (b) 0.4 (c) 3.4 (d) -0.2 (e) -1\/3 (f) 2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -101 (base 4) in base 8?\nAnswer: -21","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (183\/(-5124))\/(2\/(-12))?\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1\/58872 - 9625565\/412104. Let q = 85\/18 - -169\/9. Let y = q + j. Which is the third biggest value? (a) 2 (b) y (c) -2\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -497375\/3 < -165792?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.2? (a) 19 (b) -0.5 (c) 3\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -102, -484, -856, -1224, -1594, -1972?\n\"Answer: -t**3 + 11*t**2 - 408*t + 296","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = 2*m**3 + m - 1. Let r be b(1). Suppose 3*w = r*w - 1. Find the common denominator of -43\/3 and w - (-2)\/((-18)\/123).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 27\/180680 and -77\/6810.\nAnswer: 123043080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is a7 + 2ce3a?\nAnswer: 2cee2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m\/m**(-2))\/(((m\/m**(-5\/6))\/m*m)\/m)*(m**(2\/11)\/m)\/m**(-8\/7) assuming m is positive.\nAnswer: m**(1151\/462)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = -g**3 + 8*g**2 + 42*g + 10. Let b = 69 + -58. What are the prime factors of h(b)?\nAnswer: 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 28 + 40 = 34*z for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 6310 and 45?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor 906584*l**2 - 2719748*l - 12.\nAnswer: 4*(l - 3)*(226646*l + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 19 in 0, 1884, -49?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 6360 - 6370. What is the nearest to -2\/5 in 1\/2, -9, i?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s*(s*s\/s**(-1\/2))\/s*s)\/(s*(s\/s**1)\/s)*s**5*s**(-2\/25))\/((s**(1\/4))**(-23\/5)\/((s\/(s**(2\/3)\/s))\/s)**3) assuming s is positive.\nAnswer: s**(1057\/100)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = r**3 + 69*r**2 - 178*r - 2634. What is k(-71)?\nAnswer: -78","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 376 minutes before 6:45 PM?\nAnswer: 12:29 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000040715 to 7 decimal places.\nAnswer: -0.0000407","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert 387.53 centuries to months.\nAnswer: 465036","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (3 + 6 + (-10192)\/1128)\/(745\/(-894))?\nAnswer: 2\/47","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = -z + 15. List the prime factors of i(-14).\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -20*t + 51*t - 35*t + 178*t.\nAnswer: 174*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.02 at least as big as 2\/5375?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -4472 + 4522. Calculate the greatest common divisor of 95 and t.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2055047 is divided by 5282.\nAnswer: 349","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = 116*k**2 + k + 8. Let s be q(-2). Let o = s - 444. Does 9 divide o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2966343, 2966345, 2966347, 2966349, 2966351?\nAnswer: 2966353","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -298, -1207, -2702, -4777, -7426?\n\"Answer: b**3 - 299*b**2 - 19*b + 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 - (0 - 1) - (0 - 3).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 2529840 and 254?\nAnswer: 254","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (2 - 24)\/((-4)\/(-2)). What is the units digit of -3 - 0 - i - 1?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 702 minutes before 8:03 AM?\nAnswer: 8:21 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-16)\/40 - (-412)\/5. Let j = -24 + k. What is the tens digit of j?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in thirty-two fifths of a millimeter?\nAnswer: 6400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*w - 7*w = -11*r + 5*r + 16 - 34, 3*r + 66 = 11*w for w.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -9 - -12. Suppose -o + 4*b - 8 = -b, h*b = -5*o + 16. Suppose -11 = -5*i + p, 0*i = o*i + 4*p. List the prime factors of i.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1305*k - 67914 = 753*k for k.\nAnswer: -33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -18 - -18.014. What is f rounded to two decimal places?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-9)\/(-12))\/((-2)\/(-8)). Suppose o = -u*i - 3*o + 4, -16 = -5*i - 2*o. Let s(d) = d**2 + 10*d - 2. Let y be s(-10). Put -3, i, y in decreasing order.\nAnswer: i, y, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (2 + 1)\/(-1) - -18. Let r(i) = -4 - 6*i + 7*i**3 + h*i + 13 - 3*i**3. Let n(v) = v**3 + 2*v + 2. Calculate 9*n(k) - 2*r(k).\nAnswer: k**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1386 and 20?\nAnswer: 13860","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 1934134 and -9?\nAnswer: 1934143","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let 22*r**4 + 5908*r**3 - 11882*r**2 + 5952*r = 0. Calculate r.\nAnswer: -2976\/11, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4120 is divided by 55.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25 = 3*h - 5*p, -h + 3 = 4*p - 3*p. Suppose h*y - 14 - 11 = 0. Suppose 5*l - 20 = 0, 0*n - y*l = 4*n - 148. What are the prime factors of n?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = 8*f - 8. Let s(u) = -u. Let c = -5948 + 5942. Determine c*s(q) - j(q).\nAnswer: -2*q + 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 6*(-4)\/(-72) + (-800)\/6. Let o = w - -145. Calculate the least common multiple of o and 164.\nAnswer: 492","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = -h**3 - 269*h**2 + 276*h + 1622. Give c(-270).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x + 7 = -33. Let t be (-24)\/(-9)*(-12)\/x. Solve t*s = 2*g + 3*g + 10, 2*g = 5*s - 21 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -0.56 and -135648.7.\nAnswer: -135649.26","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 11054172?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = -d**3 + 21*d**2 + 22*d - 8. Let y be l(22). Is 17 a factor of 1*598 - (8 + y)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) be the third derivative of -a**7\/210 + a**5\/30 + 7*a**3\/3 - 22*a**2 - 4. Let f(p) be the third derivative of s(p). Let u(k) = 3*k. Give u(f(i)).\nAnswer: -72*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 45*k**4 - 32*k**3 + 122*k**2 - 70*k + 12437 wrt k.\nAnswer: 540*k**2 - 192*k + 244","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 42.38059 litres to millilitres.\nAnswer: 42380.59","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -34 - -47. Let o(u) be the first derivative of -44*u + 44*u + i*u**2 - 20 - 2*u**3. Find the second derivative of o(x) wrt x.\nAnswer: -12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 9 - 6. Let s = 3 - g. Let v = s + 3. What are the prime factors of v?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-6)\/4)\/(3\/(-8)). Let c(x) = -2*x - 14. Let z be c(-6). Put z, d, -7 in descending order.\nAnswer: d, z, -7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 3}. Give prob of picking 2 d.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 1, 6, -29, -23.\nAnswer: -29, -23, 0, 1, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 286392212 and 774.\nAnswer: 86","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*m**2 - 6*m**2 - 33*m**2)*(-17 + 31 + 21).\nAnswer: -1225*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in twenty-eight thirds of a century?\nAnswer: 11200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 4167, 16668, 37497, 66648, 104115, 149892, 203973?\nAnswer: 266352","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(14)*-1 + sqrt(14) - -5*(sqrt(224) + sqrt(14)))\/(3*sqrt(2)*-2 - (sqrt(288) + sqrt(288)*-2))*-3.\nAnswer: -12*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m\/(m**2\/m)*m*m\/(m*m*m*m**(-1))*m)\/(m**(-3\/2)\/m**(1\/8)) assuming m is positive.\nAnswer: m**(21\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 48 and 7332?\nAnswer: 29328","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:22 AM and 9:27 PM?\nAnswer: 605","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 a when four letters picked without replacement from {k: 3, a: 12}.\nAnswer: 33\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -5*c*r**2 + 2*c*r + c + 2*r**2 - 147*r + 90661 wrt r.\nAnswer: -10*c*r + 2*c + 4*r - 147","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-3)\/2*-2 + 16. Let t = -9 + d. Let y be (-11)\/((-33)\/30)*(-4)\/(-10). Solve 5*m = -2*a + 19, 0 = 3*a - 4*a + y*m - t for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = -6*h - 17. Calculate q(-4).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find m such that 4*m**5\/9 + 14*m**4\/3 - 34*m**3\/9 - 118*m**2\/9 + 50*m\/3 - 44\/9 = 0.\nAnswer: -11, -2, 1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 239211138?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put 97.3, 5, 1\/5, -1, -20.14 in descending order.\nAnswer: 97.3, 5, 1\/5, -1, -20.14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*z - 2*z - 3 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -34 - -25 - (1 + -8 - 9 - 2).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.077 + 30.923. Let b = 7 + x. Let o = -38 + b. What is the biggest value in -0.08, -0.1, o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 46.6006536 times 2\nAnswer: 93.2013072","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 65487379 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*x - 10 = -10*x. Suppose 2*g + x*d = 28, 2*d - 3*d - 4 = -2*g. Suppose 5*p + 1 = g*w, p = -3 + 6. Solve -w*a + 5 = -5*a for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*r - 5*r + 4*r)*(4*r - 4*r + 2*r) - r**2 + 2*r - 2*r - r**2 + 6*r**2 - 4*r**2.\nAnswer: 4*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 202 minutes after 12:11 AM?\nAnswer: 3:33 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*k + 3*z + 23, -3*z + z = -k - 2 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(-16)*k**25)**1 assuming k is positive.\nAnswer: k**9","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 j when two letters picked without replacement from {s: 2, q: 11, j: 2}?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 159821 is divided by 283.\nAnswer: 209","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -2 times 101292\nAnswer: -202584","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 28 + (-30 - (-37 + 9)).\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -1715*z**2 - 1435*z**2 - 95*z**2 + 1868*z**3 wrt z.\nAnswer: 11208","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -d**2*q**3 + 641505*d**2*q - 10701*d*q**3 + 19*q**3 - 2*q**2 wrt q?\nAnswer: -6*d**2 - 64206*d + 114","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -110332141 - -2003?\nAnswer: -110330133","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 0 - -21020111?\nAnswer: 21020111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = h**2 - 7*h + 46. Is c(-18) a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 1110 - -210?\nAnswer: 2020","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = -n**2 - 17*n - 65. Let q be f(-8). Suppose 3*w - q*w = -2*u + 62, -3*w + 66 = 3*u. What is the greatest common factor of u and 50?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.128 + -5.972. Let o = y - -5. Let d = o - -1.10018. Round d to 5 decimal places.\nAnswer: 0.00018","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = q - 11. Let b be m(13). Solve 0*h - h = b for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 1\/8 (b) 53 (c) -2 (d) -2\/9 (e) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*w - 4*w. Suppose w = -3*d + 2*q + 48, 0 = 3*q + 6 + 3. Suppose -d = -2*f - 0. What is the units digit of f?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = 2*r + 8. Suppose 5*g - 63 = -18. Let d(w) = -3 - 2 - 3 + g. Determine -6*d(u) + k(u).\nAnswer: 2*u + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 32291530 is divided by 460.\nAnswer: 450","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 635 - 632. Solve u + 5 = d*a - 10, -2*a + 10 = -3*u for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 100838657 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 10006 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 12*c**2*u**2 - 3*c**2*u + 9*c*u**2 - 83*c*u wrt c?\nAnswer: 24*u**2 - 6*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-11)\/33*15*59\/(-10)*(-10)\/(-5).\nAnswer: 59","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4\/(1152\/634) + (-2078)\/(-99744).\nAnswer: 20\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) be the third derivative of 1\/30*n**5 + 1\/3*n**4 + 0*n + 0*n**3 + 85*n**2 + 21\/20*n**6 + 0. What is the third derivative of c(j) wrt j?\nAnswer: 756","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 28054, 112200, 252444, 448786, 701226, 1009764, 1374400?\n\"Answer: 28049*q**2 - q + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 0, -2, -4, -0.4, -6, -0.2778?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -4677 + 4678. What is the closest to 0.1 in l, 1\/6, 0.15?\nAnswer: 0.15","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-2)\/(-4) - (-18)\/(-20). Let r = 3.07 + -0.07. Let p = 2 + r. Sort 2, y, p.\nAnswer: y, 2, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = k + 12. Let q be p(0). Suppose 3*l = -2*z + 16, 0 = -0*z + 2*z + 2*l - q. Let f(v) = -v**3 + v**2 + 3*v - 3. Let m be f(z). Is -1 <= m?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -5\/2, -202, -42626?\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -0.1 (b) -1\/9 (c) 33 (d) 3 (e) -0.11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -119 - -155. Suppose 2*k - 5*j + 63 = 0, -3*j + 5*j = -k - c. Let q be 1\/(-10)*k - (-4)\/(-10). Solve -w + q*w + 4 = 0 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 2 - 0. Let w = -0.46 + 0.06. What is the closest to -1 in -1\/12, b, w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 149, 284, 415, 542?\n\"Answer: -2*g**2 + 141*g + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 6049939 to the nearest integer?\nAnswer: 2460","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 + -2498035293480.\nAnswer: -2498035293477","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.2 in 2\/7, -2, 1?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (2 - (3 + -9))*(-1)\/(-8). Let m(n) = 2*n**2 - 3*n + 3. Let o be m(2). Solve o = 2*h + y for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5.8665 rounded to one decimal place?\nAnswer: -5.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*o**2 - 5*o**2 - 2*o**4)*(-o + 2 - 2) + o**5 - 4*o**2 + 4*o**2 - o**5 + 3 - 3 + 5*o**4 - 9*o**3 + 9*o**3 - o**5.\nAnswer: o**5 + 5*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 375948?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -39851 - -64084. What is the units digit of m?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine o, given that 0*o + 1\/3*o**5 - 7\/3*o**3 - 4\/3*o**2 - 2\/3*o**4 + 0 = 0.\nAnswer: -1, 0, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) be the first derivative of -p**4\/4 + 5*p**3\/3 + 5*p**2\/2 + 8*p - 2. Let f be h(6). Calculate the lowest common multiple of 4 and (-18)\/(-2) + f - 0.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = 6*p**2 + 117*p - 1858. Determine n(-29).\nAnswer: -205","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0.07, -0.3, 3?\nAnswer: 0.07","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 2 - bba3?\nAnswer: -bba1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 48632348.\nAnswer: 2, 12158087","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -10121*r**2*t + 6548*r**2*z - 5*r**2 - 2*r*t*z + 3*t - 11*z**2 + 9*z + 3 wrt z.\nAnswer: 6548*r**2 - 2*r*t - 22*z + 9","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 63*1031.\nAnswer: 64953","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -11443410 + 2242?\nAnswer: -11441113","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express 36*n**3 + 3*n**4 + 5*n + 6*n**3 - 7*n as k*n + z*n**3 + v*n**4 + w + q*n**2 and give k.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 35*l = -21*l + 15*l + 656. Solve 5*f - 33 = l*f for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 12*c**3 + 5084*c**2\/3 + 177500*c\/3 - 141148\/3.\nAnswer: 4*(c + 71)**2*(9*c - 7)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1011 and 27?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 62\/828873 and -67\/1657746.\nAnswer: 1657746","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 + 1*(-19)\/3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in fifty-one quarters of a kilometer?\nAnswer: 12750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -229 times 4?\nAnswer: -916","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor a**3\/3 - 4*a**2 + 35*a\/3.\nAnswer: a*(a - 7)*(a - 5)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 2\/3, 6, 0.8, -2, 1?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = y**3 - 37*y**2 + 14022*y - 581631. What is f(41)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.978 + -0.478. What is the closest to 0 in 0.4, -0.3, 5, l?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 20*t + 10*t - 53*t + 4*t + 3*t - 3*t - 2 + 2 - 2*t + (-t + 6*t - 3*t)*(5 - 5 + 4).\nAnswer: -13*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -7688.6 rounded to the nearest 10?\nAnswer: -7690","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 30 + -29. Let f = 0 + -4. Let x be 58\/(-26) + (f - -6). Are m and x nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find x, given that -x**5\/2 - 54963*x**4\/2 - 755644923*x**3\/2 - 11323793749*x**2\/2 - 10190436288*x - 4906334394 = 0.\nAnswer: -27474, -13, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 4 + -10. Let v(x) = -2*x**2 - 13*x - 11. Let m be v(s). Let t = 16 + m. Is 11 a factor of t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-2)\/2 + 43\/1. Suppose -7*w - c = -4*w. Let z = w + 18. What is the units digit of z?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 2 + 2*m)*(m - 5*m - 7*m)*(-m - 1 + 1)*(3*m + 3 - 3) + (-m**4 - m**2 + m**2)*(1 - 3 + 1).\nAnswer: 67*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert 59342d (base 15) to base 7.\nAnswer: 51145141","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -25.787 rounded to one dp?\nAnswer: -25.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find d such that 13*d**4\/3 + 2351*d**3\/3 - 2728*d**2\/3 + 364*d\/3 = 0.\nAnswer: -182, 0, 2\/13, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -2 - (-1 - (8 + -2)). Suppose 0 = y + w + 1, 2*w + w + n = -y. Let p(c) = 1 + c + c**3 + 2*c**2 + 2*c + y. Determine p(-2).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -67676 - -67678. Let 1\/4*y**d - y + 1 = 0. What is y?\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 227656.8 hours in weeks?\nAnswer: 1355.1","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -1*1*(15 - 2). Let c(h) = 4*h + 13. Let w(m) = 2*m + 6. Let x(y) = a*w(y) + 6*c(y). Let k = -137 - -150. Let d(l) = -l. What is k*d(b) - 6*x(b)?\nAnswer: -b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h - 3 = -2. Let t be 4\/h + 5 - -57. Calculate the highest common divisor of 145 and t.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = -s**3 + 11*s**2 + 6*s. Let n be -40 + 49 - (0 + -3). Determine a(n).\nAnswer: -72","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2258287063 is divided by 11.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -879 - -2?\nAnswer: -877","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = -4*m**3 - m**2 - m - 1. Let l be j(-1). Let w(z) = 3*z + 2*z**2 - 6*z + l*z. Let t(c) = -7*c**2. What is w(t(y))?\nAnswer: 98*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 200317.\nAnswer: 13, 19, 811","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 3 + -5. What is the closest to 0.05 in 3\/5, 1, y?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.038 minus -5.6?\nAnswer: 5.638","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 = q - 4. Let n(f) = -7*f + 1. What is the units digit of n(q)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = -11*j**2 + 7*j + 18. What is l(5)?\nAnswer: -222","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (1 - -18) + -1 + 2. Let q be ((-1)\/2)\/((-2)\/z). Let c(m) = -m**2 + 6*m + 2. List the prime factors of c(q).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 130 - -102011?\nAnswer: 102201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) be the third derivative of 19*o**2 + 0 + 0*o + 0*o**4 - 1\/20*o**5 - o**3. Find the first derivative of r(p) wrt p.\nAnswer: -6*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) be the third derivative of 0*o + 0*o**5 + 3\/5*o**6 + 0*o**3 + 0 - 29\/8*o**4 - 101*o**2. What is the second derivative of r(q) wrt q?\nAnswer: 432*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 2 - (3 - 5\/7). Let q = 0.94 + -1.44. Which is the closest to q? (a) g (b) -0.4 (c) 2\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g = u - 29, -2*u + 0*g - 4*g = -42. Find the first derivative of 13*q - 3 + q - u wrt q.\nAnswer: 14","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -37 divided by 42?\nAnswer: -37\/42","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8074984.\nAnswer: 2, 1009373","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = -o**3 + 6*o - o - 12 - 6*o**2 + 3. Let i be y(-7). Suppose h - 298 = -5*n, -2*n + 230 = 2*n + i*h. Is n a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = 6*n**3 + 6*n**2 + 8*n + 8. Let w(z) = 34*z - 8. Let s be w(0). Let k(f) = f**3 + f**2 + f + 1. What is s*k(m) + y(m)?\nAnswer: -2*m**3 - 2*m**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -112 - -107. Let s be 3 - (o + 5)*1. Suppose -2*x - 11 - 3 = -4*j, -s*j = -9. What is the nearest to x in 3, 4, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1.7 + 4.3. Let a = -6.82 - 0.18. Let m = a + o. Which is greater: -1\/3 or m?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 7804 - 4004. What is the thousands digit of f?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/5 of a milligram in micrograms?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x + 4 = -2*x. Let c = 10 + -3. Let w = x + c. Solve -w*r + 0*r = 12, -2*r - 5 = 3*q for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g**(-1\/4))**(37\/5))**(-28)*((g*g**(-1\/2))**(-42))**(1\/10) assuming g is positive.\nAnswer: g**(497\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -4\/3, 2\/7, -4, 56, -0.5, 3\/7, 31.1?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find z, given that 245*z**3 + 33450445*z**2 - 286731600*z + 614434500 = 0.\nAnswer: -136541, 30\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let -76*g**2\/3 - 2518*g\/9 - 110\/9 = 0. What is g?\nAnswer: -11, -5\/114","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2712167 milliseconds in seconds?\nAnswer: 0.0002712167","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 7454 a multiple of 75?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 6\/3*2 + 1641787. Suppose d = -3*b + v - 1748209, b + 5*v = -1130000. What is b rounded to the nearest 100000?\nAnswer: -1100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -10111101111110 + -1011?\nAnswer: -10111110001001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = -t**2 - 2*t - 1. Determine y(-2).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*k**2 + k**3 + 3*k**2 + (-k**2 - k**2 + 6*k**2)*(0*k + 4*k - 2*k).\nAnswer: 9*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express (2 - 1 + 1)*(13*o + 9*o - 15*o)*(-4 - 2 + 5 + (0 + 1 + 1)*(3 - 5 + 3)) as v + y*o and give y.\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2642 = 84*g + 2306. Let z(h) = 10*h**3 + 22*h**3 - 2 - 1 - h + 4. Calculate the smallest common multiple of z(1) and g.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine p so that p**2\/5 + 277022*p\/5 + 19185297121\/5 = 0.\nAnswer: -138511","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {i: 7, n: 6}. Give prob of picking 3 i.\nAnswer: 35\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 10 in 4, -1\/3, 5, 126?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (3 - (-1 - 1))\/1. Solve -y*h - m = -21, 10*h = 5*h - 3*m + 13 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5168 divided by 4.\nAnswer: -1292","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g + 0*z = 3*z + 162, 2*z = 4*g - 220. What is the tens digit of g?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -a2b25 (base 16) to base 4\nAnswer: -2202230211","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 37\/54 and -68\/58077.\nAnswer: 116154","meta":{"dup_signals":{},"source":"numbers__lcm_test"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -30031 + -11?\nAnswer: -30042","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 111351, 222728, 334127, 445548?\n\"Answer: 11*u**2 + 111344*u - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 42 - ((-10)\/5 + -2) - 3. Calculate the greatest common factor of 215 and p.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 341 + -341.4. Let u = 1.5 + -2. Sort 0, -1, u, r in decreasing order.\nAnswer: 0, r, u, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1.54 + 116.46. Let o = 48.9 + -49. Which is the biggest value? (a) 0.4 (b) l (c) 1 (d) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 775.2059 milliseconds to seconds.\nAnswer: 0.7752059","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(84)\/(sqrt(12) + (-3*sqrt(96))\/sqrt(8)).\nAnswer: -sqrt(7)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 35, 93, 177, 287, 423, 585?\nAnswer: 773","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 1932900037 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*h + 3*u - 60582, 0 = -4*h - u + 213 + 80572. Suppose -t = 3*l - h, -5*t - 3*l + 129464 - 28467 = 0. What is t rounded to the nearest one thousand?\nAnswer: 20000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = b**3 + 237*b**2 + 3496*b - 8408. Determine p(-221).\nAnswer: 432","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 12\/2713 + -181915\/32556. Let p = 436277\/22 - 19827. Find the common denominator of j and p.\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8.99628 litres to millilitres.\nAnswer: 8996.28","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = -551*i**3 + 10*i**2 + 5*i - 5. Let m(c) = 245196*c**3 - 4448*c**2 - 2224*c + 2224. Determine 5*m(w) + 2224*p(w).\nAnswer: 556*w**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = -3*y**2 - 64*y + 778. Calculate r(-30).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round -1.1297 to 2 dps.\nAnswer: -1.13","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 400 minutes after 5:09 AM?\nAnswer: 11:49 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 33\/(-11) - (0 + -5). Let x(i) = -1 + 3*i + t - 1. Let w(p) be the first derivative of 4*p**3\/3 - 10. What is w(x(v))?\nAnswer: 36*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -13150 or -153?\nAnswer: -13150","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 12*h**3 - 9*h**3 + 13*h**3 + 269*h**2 - 269*h**2 - 15*h to r*h**2 + v*h + j*h**3 + u and give r.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 148 + 12 = 8*s. Suppose -8*h + s = -3*h. Let a(p) = p + 17. Let f be a(0). Solve -5*t = -l - f, -h*t - l + 19 = -0*t for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 2.6 - 2.3. Let i = 20 + -14. Let k = -9 + i. Which is the second biggest value? (a) g (b) -2\/5 (c) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 + 1 + 6 + -3.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -v - 10 = -5*l, 4*v + 5*l = 2*v - 5 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -l + 78*y + 4 = 80*y, -3*y + 1 = -l for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) be the second derivative of -y**5\/40 - 313*y**4\/24 - 24335*y**3\/12 + 24649*y**2\/4 + 34*y + 10. Factor g(h).\nAnswer: -(h - 1)*(h + 157)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 106100?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = -q**2 + 5*q + 3. Determine k(-1).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 15562597?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 298*w + 2 - 120*w - 118*w - 118*w + 65*w.\nAnswer: 7*w + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express 4*o**2 + 712 - 686 - 2*o - 2*o**2 in the form h*o + y*o**2 + r and give h.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 4101 - 2570. What is the thousands digit of r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 4 - -655?\nAnswer: 659","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-580)\/348)\/(10\/(-919146)) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) be the first derivative of -8*r**3 + 0*r + 0*r**2 + 8 - 9\/2*r**4. Find the third derivative of f(s) wrt s.\nAnswer: -108","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = 15541*j + 4087295. Calculate w(-263).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -z**4 - 372*z**3 - 45750*z**2 - 1812500*z + 5859375.\nAnswer: -(z - 3)*(z + 125)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from diddidddii. What is prob of sequence ddi?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2*sqrt(600))\/(sqrt(9)\/(-2*sqrt(3)))*5)**2.\nAnswer: 80000","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/3? (a) 2\/3 (b) 1 (c) -1 (d) -0.07 (e) 3\/2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 35375 and 4811.\nAnswer: 283","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p + 11*q = 6*q + 17, 2*q = 6. What is the greatest common factor of 8 and p?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -60*j + 63*j - 33 = 0. Let v(o) = -2*o + 9. Give v(j).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -9 - -13. Let f(i) = 3*i + 4 + p*i**2 + 5 - 3*i**2. Is f(-7) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(561)\/((sqrt(33)\/sqrt(3) + sqrt(11))*5))\/((sqrt(3) + sqrt(243) + sqrt(3) - sqrt(3)) + (sqrt(147) - sqrt(147)*-1)).\nAnswer: sqrt(17)\/240","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -2\/41 (b) 2 (c) 0.04 (d) 57 (e) 61\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -7775 - -93223\/12. Let a = 1528579\/60 - 25477. Calculate the common denominator of a and y.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 3239178832 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange g**2 + 2*g**2 + 2 + g - 3*g + 4*g**4 + 0*g**2 to m + j*g**3 + d*g**4 + f*g + w*g**2 and give w.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*c = 2*i - 3*c + 4, -4*c = 3*i - 11. Let q be (i\/(-3))\/((-12)\/18). Factor -1 - q*k + 1\/2*k**2.\nAnswer: (k - 2)*(k + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 52225, 52419, 52741, 53191?\n\"Answer: 64*y**2 + 2*y + 52159","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 25156084.\nAnswer: 2, 6289021","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -166, -662, -1490, -2650, -4142?\nAnswer: -5966","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor 520*d**2 + 9604 - 232*d - 150*d**3 + 4*d**4 + 656*d**2 - 5256*d + 38*d**3.\nAnswer: 4*(d - 7)**4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-54)\/(-108))\/(77\/(-210)).\nAnswer: -15\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -ac8bc (base 15) in base 10?\nAnswer: -548727","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-98 - -65) + 56 - (12 - -1).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 + (1 - -1) - (-28 - -33).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-105)\/14 + 8)\/(145\/(-116)*(-2)\/565)?\nAnswer: 113","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express (13*k - 8*k - 10*k)*(-4*k + 2*k + 0*k) - k**2 - k**2 + 4*k**2 + (-3*k + 2*k + 2*k)*(40*k - 21*k - 24*k) as g + a*k**2 + l*k and give g.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = 182903*h. Let n(r) = -826*r. Give g(n(s)).\nAnswer: -151077878*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 48552 to the nearest integer?\nAnswer: 220","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*h**2\/3 - 523879780*h\/3 + 34306252986606050\/3 = 0 for h.\nAnswer: 130969945","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -68*i + 10253 - 11273 = 0 for i.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -26*a - 38*a - 28*a + 862 = 4818 for a.\nAnswer: -43","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -3 + 0. Suppose -5*d + 4*u = -3*d - 18, -5*d - 3*u + 19 = 0. Suppose v + 2*f = -2, -f = 2 - 3. Sort v, r, d.\nAnswer: v, r, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*w**2 + 2*w**2 - 6*w**2)*(-3*w**2 - 3*w**3 + 3*w**2) + 4*w**4 + 2*w**5 - 2*w**4 - 4*w**5.\nAnswer: w**5 + 2*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1890?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -228*u + 231*u = -510. Let f = 132 - u. What is the tens digit of f?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1.658 - -1.958. What is the fourth smallest value in 319, 2, a, -0.2?\nAnswer: 319","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -195 + 197. Solve 0*u + h*u - 6 = 0 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -138190 to the nearest 1000.\nAnswer: -138000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -32278 divided by 5\nAnswer: -32278\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -199403 + -614?\nAnswer: -199a17","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*g**2\/5 - 601*g\/5 + 357.\nAnswer: (g - 3)*(2*g - 595)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -5.01 and 14618987.03?\nAnswer: 14618992.04","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = -2*b + 81. Let w(h) = -4*h - 1. Let s(q) = m(q) - 3*w(q). Calculate the remainder when s(16) is divided by 19.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = 2802*p - 61662. Determine g(22).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + ((sqrt(140)\/sqrt(4))\/sqrt(7) - sqrt(5))**2 + 0 + -3.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -12676*r**2*u**3 + 3*r**2*u + 1230*u**2 wrt u.\nAnswer: -76056*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = -3*t + 4. Let a be c(-2). Let w = a + 12. Calculate the remainder when 106 is divided by w.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d - 737 = 2*v - 2467, v - 5*d - 891 = 0. Is v a multiple of 48?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 73*t**2 - 151*t**2 + 60*t**2.\nAnswer: -18*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 1903?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2593516574.\nAnswer: 2, 11, 29, 4065073","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 36772 is divided by 3324?\nAnswer: 208","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 142 + 22*h + 21*h - 142.\nAnswer: 43*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = 63388*m + 891. Is q(7) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 154 minutes after 3:26 AM?\nAnswer: 6:00 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -142224 - -2?\nAnswer: -142222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 132437 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-100)\/(-240)*(-1 - (-45)\/25). Which is the fourth biggest value? (a) v (b) 0.11 (c) -4 (d) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1731050 to the nearest integer?\nAnswer: 120","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:32 PM and 9:33 PM?\nAnswer: 421","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -3 + 5. Suppose 23 = -3*b + 5*h + 50, -4*h - 23 = -b. Put 1, 65, v, b in increasing order.\nAnswer: b, 1, v, 65","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 943433*t**4 + 2754413*t**2 wrt t.\nAnswer: 22642392*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (4\/(-2))\/(8\/(-312)). Suppose d = 3*m + 5*r, -m + 4 = 3*r - 18. List the prime factors of m.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = -137*c - 6. Let f(m) = 124*m + 6. Let n(k) = -83*k - 4. Let s(u) = -2*f(u) - 3*n(u). Calculate s(b(t)).\nAnswer: -137*t - 6","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: ((-4)\/14)\/(6\/14)\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w - 2 = -2*l + 2*w, -4 = 2*w. Let r(t) = -t**2 - 2*t**l + 3*t**2 - 5*t**2. Let c(s) = -2*s. Give r(c(n)).\nAnswer: -20*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p + 7 = 27. Is 11 a factor of 22\/((24\/p)\/(-3))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -577 - (1\/1 - 1). Let z = -6869\/12 - g. Find the common denominator of z and -93\/10.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 811*c + 736*c - 20538 = -784*c + 2494*c for c.\nAnswer: -126","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 13\/2*((-700)\/(-26))\/7?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Total of -0.04785 and 0.35.\nAnswer: 0.30215","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 1\/5, 25, 12?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 136 - -23. Let a = p - -729. Does 37 divide a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = -6*b + 1. Let f(v) = 5*v. Let y(l) = -5*f(l) - 4*x(l). Let t be y(-3). Which is smaller: t or -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2\/((9\/45*-3)\/((-102)\/17)).\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9639 + 6674867754.\nAnswer: 6674877393","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor -103781*u**2\/3 - 103715*u\/3 + 22.\nAnswer: -(u + 1)*(103781*u - 66)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 404076816 a multiple of 3861?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p = -2*r + 20, 4*p - 4*r + 10 = 6*p. Let s be 6\/4*((-3)\/p - -1). Factor 0*z**3 - s*z**2 - 2\/5*z + 1\/5*z**4 + 0.\nAnswer: z*(z - 2)*(z + 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -202211021100 (base 3) to base 8\nAnswer: -1440450","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -4*-84003\nAnswer: 336012","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 1\/((-3)\/9) - -6. Let c be k\/((24\/(-108))\/(2\/3)). Let y(a) = a**3 + 9*a**2 - 2*a. What is the remainder when 52 is divided by y(c)?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_test"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:52 PM and 5:47 AM?\nAnswer: 595","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -5644 (base 12) to base 3\nAnswer: -111002221","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) be the first derivative of f**4\/4 - 8*f**3\/3 + f**2\/2 - 5*f - 1. Let o be q(8). Suppose 4*j - 136 = -o*l, -3*j + l - 3*l + 101 = 0. Does 19 divide j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 1202311 - -31202?\nAnswer: 1300113","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -125 + 151. Solve 2*n - 16 = 5*q, q + 4*q = -3*n - v for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -5 in -1.9, -44236, 2\/23?\nAnswer: -1.9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -163 less than -12?\nAnswer: 151","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h + 85 - 29 = 0. Suppose 0*r = 3*r - 309. Let u = h + r. Is u a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 20 - 200?\nAnswer: -110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 7317\/10 or 733?\nAnswer: 7317\/10","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9 + -2 - (29 - 4) - -2.\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 814*r + 78*r + 90*r.\nAnswer: 982*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -927 plus -2627039744?\nAnswer: -2627040671","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 15907 is divided by 215.\nAnswer: 212","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 522, 501, 466, 411, 330?\n\"Answer: -i**3 - i**2 - 11*i + 535","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (1 - 0 - -9)\/1. Let p be q\/4*(-4)\/(-5). Solve -p = v - 2*v for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*q**2\/8 + 93*q\/2 + 2883\/2 = 0.\nAnswer: -62","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1 - -11000?\nAnswer: 10222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 334032 and 32.\nAnswer: 668064","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -2*4\/(-16 + 0)*0. Let l(d) = -d**2 + 5*d + 10. Calculate the smallest common multiple of 2 and l(n).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = k**3 - 5*k + 2. Is q(3) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -34 (base 9) in base 12?\nAnswer: -27","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1\/4 or -8.35454?\nAnswer: -8.35454","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 993022*b**2 - 992999*b**2 - 20*b - 1 + 1 + 15*b + 5*b.\nAnswer: 23*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*y + h + 2794, 1901 + 336 = 4*y + h. What is the greatest common factor of y and 13?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -109*a**3*b + 334*a**3 wrt b.\nAnswer: -109*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = j**2 + 3*j + 3. Let o = 2 + 0. Suppose 4*g - 2*g + o = 0. Let a(y) = -y**2 - y - 1. Let d(r) = g*z(r) - 3*a(r). Let q(k) = k**2. Calculate d(q(w)).\nAnswer: 2*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w + 9 = -w + f, 4*f = -w + 15. Suppose w*m - 2*l + 6*l - 191 = 0, -5*m - 3*l + 300 = 0. Calculate the greatest common factor of m and 3.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 54 and 1916114.\nAnswer: 51735078","meta":{"dup_signals":{},"source":"numbers__lcm_test"},"subset":"dm_maths"} +{"text":"Question: Does 49 divide 804923?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -127 = -13*f - 88 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l = -2*w - 1 + 2, -5*l = -w - 5. Suppose 4*k + 0*k - 4 = w. What is the units digit of k?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 831 - 487. What is the highest common factor of 43 and p?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = -s**2 - s + 2613. Let f be k(0). Let p be ((-4)\/14)\/((-6)\/f). Let r = -125 + p. Which is smaller: r or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2224 (base 12) in base 7?\nAnswer: -13666","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = -19*w - 9. What is the remainder when 56 is divided by u(-2)?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = 1 + i - 3*i - i. Suppose -3*y - 2*y = u - 40, 4*y + 52 = 2*u. Let b be u\/5 + -1*3. What is n(b)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 439, 1750, 3935, 6994, 10927, 15734, 21415?\nAnswer: 27970","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0.3 (b) 155\/3 (c) -3 (d) -44\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jr when two letters picked without replacement from {j: 7, r: 4, x: 3, g: 5}.\nAnswer: 14\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = -79*c**3 + 15*c**2 + 6*c - 1. Calculate d(1).\nAnswer: -59","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -736 - -1241. What are the prime factors of f?\nAnswer: 5, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2646409 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 2 - -3. Suppose -7*m + 2 = -8*m. Let r = 9\/4 + m. Which is the closest to -3? (a) 2\/9 (b) s (c) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 573 + -520. Find the second derivative of -47*h**4 - 144*h + 59*h**2 - 59*h**2 - k*h**4 wrt h.\nAnswer: -1200*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 24 - 16 - 8 + 10*s**2 to g + d*s**2 + l*s and give g.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1348 and 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 6\/8*-26*2. Let h = t + 41. Find the second derivative of -6*y - 5*y**2 + 8*y - 26*y**2 + 7*y**h wrt y.\nAnswer: -48","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -4 (b) 2\/27 (c) 907.859 (d) -2 (e) 5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g - 63 = -3*s - 6, -3*g = 5*s - 179. Suppose 35*h - g = 26*h. Suppose 3*v = 34 + 38. Calculate the remainder when v is divided by h.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 13, -2, -3, 0, -4 in decreasing order.\nAnswer: 13, 0, -2, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Do 26\/33 and 0 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21*r - 33*r = -21972. List the prime factors of r.\nAnswer: 1831","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1 + 11 - 28 - -23) + 42.\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a - 423 = -3*i, 5*i - 691 = -5*a - 36. Is i a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 151\/312 and 41\/312.\nAnswer: 312","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:45 PM and 5:40 AM?\nAnswer: 655","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 506*o + 3*o**2 - 4 - 224*o - 1 + 292*o.\nAnswer: 3*o**2 + 574*o - 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z**0)**(-1\/11)\/(z**(-2)\/z*z**1\/z))\/((z\/(z*z\/(z*z**(2\/3)))*z)**(-15)*z**1*z*z*z*z**5) assuming z is positive.\nAnswer: z**19","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 1062200 + -213?\nAnswer: 1061654","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 251 minutes after 6:10 AM?\nAnswer: 10:21 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -x = -4*o - 19, -8 = 1202*o - 1203*o - 4*x for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 19 and 42052?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 2*i*o**3 + 358*i*o - 133*o**3 + 58*o**2 + o wrt i?\nAnswer: 2*o**3 + 358*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = -5*k**2 - 69*k - 185. Let f be q(-8). Solve 10 = f*g - 37*g for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 26*s**2*w**3 - s**2*w**2 - 118*s**2*w + 2*w**3 wrt w.\nAnswer: 156*s**2 + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 50822693 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*r = -154 + 42. Solve -3*d + r*d = -3*x - 16, -3*x + 3*d - 9 = 0 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 63.4482 - -6?\nAnswer: 69.4482","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 12, b: 2, y: 3}. What is prob of sequence bp?\nAnswer: 3\/34","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 78872, 157749, 236628, 315509, 394392, 473277, 552164?\n\"Answer: u**2 + 78874*u - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 210 and 26420730?\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 145153 is divided by 29030?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = -2*t - 7. Let m be v(-5). Suppose 0*d + d - m = 0. Solve -4*p - 1 = -5*r - 3, -r + 11 = d*p for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*l - 2 = -l. Suppose -l*a = 5*j - 32, 16 = 2*a + j - 0*j. Solve -3*f + f = -a for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {h: 4, c: 4, t: 9}. What is prob of picking 1 h and 2 c?\nAnswer: 3\/85","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 2, 15, 12 in descending order.\nAnswer: 15, 12, 2, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = 16*u + 139. Let d be b(-9). Put d, 22, -0.5 in descending order.\nAnswer: 22, -0.5, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = 20*h - 799. Give b(40).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -1 (b) -358738 (c) 80 (d) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 188891613.\nAnswer: 3, 20987957","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 3 + -31197.9\nAnswer: -31194.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*j + 6*j = -7. Suppose -j*x - 2 = -6*x. Let z be 0*(3 + -4) + -3. Which is smaller: x or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 188107813 to the power of 1\/9, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -2c (base 13) in base 5?\nAnswer: -123","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.852 to 1 dp.\nAnswer: 0.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let -21*a**4\/2 + 1065*a**3\/2 - 7407*a**2 + 15984*a + 5184 = 0. What is a?\nAnswer: -2\/7, 3, 24","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {x: 2, p: 2, a: 9}. Give prob of picking 1 x and 2 a.\nAnswer: 36\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 2170700356 to the power of 1\/2, to the nearest integer?\nAnswer: 46591","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is (6396\/(-1287))\/(-82) + (-564)\/(-3762)?\nAnswer: 4\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 73752 and 840?\nAnswer: 368760","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.11 + 0.46. Let k = 0.05 - d. What is k rounded to 1 dp?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -7602 (base 8) to base 14.\nAnswer: -1638","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*z - 9*k + 12*k - 16, -5*z = -k + 9. What is the closest to -0.1 in z, -21, -2, -12?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-2 + 44\/16)\/(-5 - -35). Let x(z) be the second derivative of -1\/40*z**6 + 3*z + 0*z**4 + q*z**5 + 0*z**3 + 0*z**2 + 0. Factor x(p).\nAnswer: -p**3*(3*p - 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-32)\/(-176) + 864\/88. Let z(k) = 3*k - 29. Give z(r).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 115.9 + -116.2. Let g be 2 + 4\/6*27\/18. What is the nearest to g in -3.2, x, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a**(-1\/10)*a)\/a**(-34))\/(a\/(((a*a**(-3\/10))\/a)\/a*a))**(-41) assuming a is positive.\nAnswer: a**(441\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*1*sqrt(152)*-2)\/((sqrt(32) - sqrt(64)\/sqrt(2)) + sqrt(32) - sqrt(40)\/(sqrt(15)\/sqrt(3))).\nAnswer: -2*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (30\/(-300)*70\/4)\/((-2)\/8).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -5399333, -10798665, -16197997, -21597329?\n\"Answer: -5399332*i - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 greater than 45\/8?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(((sqrt(280) - (2*sqrt(280) - sqrt(280)))*2)\/sqrt(7))\/(sqrt(72) + (sqrt(72) + -2*sqrt(72))*-2 - sqrt(72)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 413 and 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = 7*r**2 + r. Let k be f(-2). Suppose -4*w - k = -3*l, -5*l + 25 = -4*w - 5. Let t(v) = -v**2 - 6*v - 7. Determine t(w).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 13580 and 40.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 95520.\nAnswer: 2, 3, 5, 199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3938 is divided by 95.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {x: 1, j: 1, k: 2, i: 5}. Give prob of sequence xkji.\nAnswer: 5\/1512","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y = -4*y - 6, y = -3*p + 93. Are p and 31 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*((-1*sqrt(140) - sqrt(140)) + sqrt(35) - sqrt(35))\/((-1*sqrt(84))\/sqrt(12))*5.\nAnswer: -40*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -3, 2, 1, 3, -282895 in descending order.\nAnswer: 3, 2, 1, -3, -5, -282895","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -6*y**3 + 5*y**4 + 2 - 4 - y**4 + 4*y**3 to t*y**2 + x*y**3 + g*y + q*y**4 + c and give c.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 2877414 or 2877413?\nAnswer: 2877414","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) be the second derivative of 0 + 1\/6*m**3 + 0*m**2 + 0*m**4 - 3\/80*m**5 + 21*m - 1\/120*m**6. Solve a(k) = 0.\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = x**2 - 10*x. Let s be z(10). Let p = 41 - 41. Solve 2*d - 3*m + 3 = s, p = 4*d - 3*m + 4*m - 15 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r + 23077 = 2*r + 2*v, -9231 = -2*r - v. Let p = r + -2496. Is p prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = -2*m - 1. Let p be h(-4). Let d(y) = 7*y - 13. Let x be d(p). What is the highest common factor of x and 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 3 + -8184?\nAnswer: -8181","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 49 or 0.8?\nAnswer: 0.8","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 u when four letters picked without replacement from uueuuee.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -81*x + 78*x = -459. Calculate the remainder when x is divided by 13.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ddpdpdddppdddddpdhhd. Give prob of picking 4 p.\nAnswer: 1\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r - 24 + 36 = 0. Suppose 24 = r*k + 8. Suppose -o + 0 = 2*z + 1, 2*o = 5*z - 20. Sort -1, 0, k, o in increasing order.\nAnswer: o, -1, 0, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q + 508 = 3*x + 2*x, 0 = -4*x - 5*q + 389. List the prime factors of x.\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2566.538 years in millennia?\nAnswer: 2.566538","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 37 + -29. Suppose -z + 0*z - x = -1, -5*x + m = 4*z. Is (-2)\/z*(2 - -379) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wi when two letters picked without replacement from iwzixxiiiyhwiiizyii?\nAnswer: 10\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -143 + 256. List the prime factors of j.\nAnswer: 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2103.\nAnswer: 3, 701","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 371824 divided by 151?\nAnswer: 371824\/151","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = -24*w**3 + w**2 + 27*w - 2. Let m be s(-5). Which is smaller: 2889 or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 106877?\nAnswer: 106877","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) be the second derivative of l**6\/165 + l**5\/22 + l**4\/33 - 20*l**3\/33 - 24*l**2\/11 - 487*l. Suppose r(g) = 0. What is g?\nAnswer: -3, -2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 139*v - 140*v - 109 = 0. Let q = -104 - v. Let r(z) = 4*z**2 - 12*z - 7. Let c(t) = 2*t**2 - 6*t - 3. Let k(l) = 5*c(l) - 2*r(l). Determine k(q).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 3 + -1010?\nAnswer: -1001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-6)\/(-57) + 186\/38?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k + 2 - 10 = 0. Let g = k - 9. Let o = 0.2 + -0.4. Which is the biggest value? (a) -4 (b) o (c) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = -47*r + 15. Let x(o) = 32*o - 10. What is 5*s(u) + 7*x(u)?\nAnswer: -11*u + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(5) - (sqrt(10)\/sqrt(2) + -1 + sqrt(5) + sqrt(5) + sqrt(5))) + sqrt(10)\/sqrt(2)*-4.\nAnswer: -7*sqrt(5) + 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 243 minutes before 7:09 PM?\nAnswer: 3:06 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 341988953 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = -h**3 + 7*h**2 - 6*h - 3. Let k be l(6). Let q(y) = -4*y + 3 - 2 + 3. Does 8 divide q(k)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1131596 a multiple of 316?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*5*(4 + sqrt(637) + -2) + 2)**2.\nAnswer: 3080*sqrt(13) + 64184","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -1186 * -0.02009\nAnswer: 23.82674","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 178 is divided by 108.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -7 - (-256)\/8 - 3. Let u = 72 + -48. Let h = u - j. Solve -h*d = 4, d - 10 = -3*q + 3*d for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -1 + 5 - 108\/12. Let v = 5567 + -5566. Which is the closest to v? (a) -18 (b) -2\/17 (c) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = v**3 - 8*v**2 + v + 1. Let j be w(8). Suppose -t - j = -z, -2*t - 6 = -0. Let i = z - 2. Solve 0 = -i*f + f - 6 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -252*w + 33*w + 6*w to h + v*w and give v.\nAnswer: -213","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) be the second derivative of b**3 + 11*b**2\/2 + 2*b - 69. Determine q(-9).\nAnswer: -43","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 27130 is divided by 76.\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(336)\/sqrt(7))**2 + (sqrt(75) + 0 - sqrt(75)).\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 18667277939 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 137*p - 111*p - 156 for p.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 156 + -69. Suppose -51 - d = -3*l. Is l prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = -1345*s**4 + 7*s**2 + 1743. Let l(j) = 897*j**4 - 5*j**2 - 1162. Let k(v) = -7*l(v) - 5*p(v). Differentiate k(x) wrt x.\nAnswer: 1784*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1317799\/15 - 87847. Calculate the common denominator of (276\/(-225) + 1)*1 and o.\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 16 divide 1806400?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 9413 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 229*y + 1046 = -115*y + 358 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (2 - 1)\/(2\/12). Let r(w) = 2*w**2 - 8*w - 1. What is the remainder when r(q) is divided by 2\/3 + 34\/3?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 25679*u**3*y**2 - 84*u**3 - 1160*u**2*y**2 - 4*u**2 + 14*u + 61*y wrt y.\nAnswer: 51358*u**3 - 2320*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -29*h + 335 = 103 for h.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 8891.42 + -8891. Is y >= 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -30 = -44*p + 54*p for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 57300.\nAnswer: 2, 3, 5, 191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 - -13*2\/10 - ((-227048)\/(-505))\/(-281).\nAnswer: 6\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -4 + -36837007?\nAnswer: -36837010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*g - 7*a + 2*a = -30, -4*a = -4 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*h**5 + 21*h**4 - 69*h**3 - 429*h**2 + 498*h + 840 = 0.\nAnswer: -7, -5, -1, 2, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 11812527 is divided by 152.\nAnswer: 151","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*m**3 + 5*m**3 + 3*m**3 - m**3 + 3*m**3 + 0*m**3 + (m**3 - 2*m**3 + 4*m**3)*(7 - 3 + 0) in the form h*m**2 + s + b*m**3 + v*m and give b.\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 (base 2) in base 4?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -530442.797 - -529232. Let t = -1210.3969985 - b. Let d = 0.4 - t. What is d rounded to six dps?\nAnswer: -0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5277?\nAnswer: 3, 1759","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -0.1 (b) -22 (c) -1\/2425 (d) -8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*m - 5*m = 3*d - 20, -d = 0 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 64 is divided by 23?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -1835475 divided by -122365?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = -j**2 - 5*j. Let k = -12 + 7. Let g be h(k). Suppose g = -3*b + 2 + 10. Put 0, 1, b in descending order.\nAnswer: b, 1, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (175*x - 44*x + 32*x)*(x**3 - 3*x**3 - x**3) + 1 - 1 + x**4.\nAnswer: -488*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = 4*c**2 + 2*c + 7. What is the hundreds digit of t(-6)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -477 + -1203. Let k be 1504\/a - 2\/(-21). What is the fourth biggest value in -3\/7, k, -0.4, -1.5?\nAnswer: -1.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -51 divided by -433.\nAnswer: 51\/433","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in nine tenths of a week?\nAnswer: 9072","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 31163 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = 2*x**3 - 13*x**2 + 147*x - 635. Determine c(6).\nAnswer: 211","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -25\/8 - -35\/24. Let c = 1544 - 1541. Sort r, c, 1\/7.\nAnswer: r, 1\/7, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3.269847 years in months?\nAnswer: 39.238164","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = 3*r**3 - 2*r**2 - 58*r - 1. Calculate q(6).\nAnswer: 227","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -123 and 2.\nAnswer: -246","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z + 29*o = 27*o - 10, -z + 5 = -3*o. Let j(a) = -20*a - 12. Let u(f) = 8*f + 5. Calculate z*j(n) + 12*u(n).\nAnswer: -4*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y*(y**(4\/13)\/y)\/y*y)\/(y**(-16\/11)*y*y*y) assuming y is positive.\nAnswer: y**(-177\/143)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u = -u + 3*x + 12, -3*u - 4*x + 47 = 0. Calculate the remainder when u is divided by 4.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) be the second derivative of 0*p**6 + 0*p**3 + 0*p**4 + 1\/231*p**7 + 0*p**2 + 0*p**5 + 0 - 6*p. What is b in g(b) = 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -133 - 73 = 266*b + 60 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 12897.\nAnswer: 3, 1433","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 - ((-3 - -17) + -27).\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 196 and 3906.\nAnswer: 54684","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -536*y**2 - 440*y**3 - 103*y + 68*y + 35*y wrt y.\nAnswer: -2640","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 23 even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) be the third derivative of -m**5\/12 - 95*m**4\/24 - 15*m**3 - 608*m**2. Solve c(j) = 0 for j.\nAnswer: -18, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 62264?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l - 12 = -3*l. Let d(j) be the first derivative of 2\/3*j**3 - l + 0*j - 1\/2*j**2. What is the second derivative of d(a) wrt a?\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = -223*u - 21. Let w(y) = -3567*y - 348. What is 33*n(r) - 2*w(r)?\nAnswer: -225*r + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*m + 3*m = 186. Suppose 2*u - 44 = m. List the prime factors of u.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -11654*h*q**3 - 163*h - 3*q**3 - q**2 - q - 138315 wrt h.\nAnswer: -11654*q**3 - 163","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11 = 5*d - 0*p + 2*p, 0 = d + 3*p + 10. Is (-23)\/(d + 1\/2) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -40, -78, -116, -154, -192?\nAnswer: -230","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1.02115 minutes to milliseconds.\nAnswer: 61269","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4043.\nAnswer: 13, 311","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -3, 1522, 1 in increasing order.\nAnswer: -3, 0, 1, 1522","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1.13 + 0.63. Let y = 0.42 - 2.65. Let v = 0.23 + y. Which is the closest to v? (a) o (b) -2\/11 (c) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 15\/(13 - 32\/2). Which is the nearest to 0.6? (a) q (b) -46 (c) -2 (d) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 90 in -1\/5, -0.11, -4, 35121?\nAnswer: -0.11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Work out 165.2 * -0.9.\nAnswer: -148.68","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.7228 and -5.1?\nAnswer: -3.68628","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = q**2 - 5. Let u be c(-4). Let d = 8 - u. Let s(v) = -v**3 + 2*v**2 + 2*v. Let m be s(d). What is the greatest common factor of m and 26?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w**2\/3 + 688*w\/3 + 29584\/3 = 0. What is w?\nAnswer: -86","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or 4\/65525?\nAnswer: 4\/65525","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand p**3 + p**4 - p**3 + (-3*p**2 - p**2 + 3*p**2)*(-p - p**2 + p) + p**4 + 2*p - 2*p + (-3*p + 3*p - 2*p**2)*(-3*p**2 - 4*p**2 + 4*p**2) - 2*p**4 - 2 + 2.\nAnswer: 7*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) be the second derivative of -o**4\/12 + 2*o**3\/3 + 7*o**2\/2 - 2*o. What is the units digit of h(5)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13 = k + 4. Let w(x) = x**3 - 21*x**2 - 25*x + 54. Let p be w(22). What is the remainder when 3\/(-9) + (-484)\/p is divided by k?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = -11*z**3 + 6*z**2 + 4*z + 3. Let u be s(-4). Let h be 1 + 1 + 46060\/180*3. Let w = u - h. Find the common denominator of w and -37\/6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 941125 is divided by 7261.\nAnswer: 4456","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = -60*k + 97. Let g be m(-6). Let w = g - 347. Let a = -24 + 46. What is the highest common divisor of a and w?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 15198691 is divided by 3.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3192 divided by 57.\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4445.413 millilitres to litres.\nAnswer: 4.445413","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -91, -3882, -9, 4.\nAnswer: -3882, -91, -9, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = -n + 13. Let q be b(8). Solve m + 1 = q*h, 7*h + 7 = 3*m + 2*h for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -343*g**4\/3 + 637*g**3\/3 - 126*g**2 + 92*g\/3 - 8\/3.\nAnswer: -(g - 1)*(7*g - 2)**3\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find x, given that 5329*x**3 - 5183*x**2 - 145*x - 1 = 0.\nAnswer: -1\/73, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = 9*f + 10*f**2 + 4 - 2*f**3 + 5*f**3 + 1 - 2*f**3. Let t be q(-9). What is the tens digit of (69\/t - 1)\/((-2)\/(-10))?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) be the second derivative of i**6\/4 - 9*i**3 - 8*i**2 + 16*i. Let c(y) be the first derivative of v(y). Differentiate c(r) with respect to r.\nAnswer: 90*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 6757*o**3 + 4*o**2 - 2*o + 421748 with respect to o.\nAnswer: 20271*o**2 + 8*o - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 12484 + c?\nAnswer: 12491","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = 121*f**3 - 22*f**2 - 22. Let a(h) = -3*h**2 - 57*h + 5. Let y be a(-19). Let u(j) = -27*j**3 + 5*j**2 + 5. What is y*w(n) + 22*u(n)?\nAnswer: 11*n**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -418930, -837863, -1256796, -1675729, -2094662, -2513595?\n\"Answer: -418933*j + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(252)\/(sqrt(48)\/sqrt(4)) + sqrt(21) - (sqrt(231)*1)\/sqrt(11))\/(sqrt(135)\/(sqrt(45) - sqrt(5))*-1).\nAnswer: -2*sqrt(7)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -36 = -4*a - 4*l, 2*a - 4 = -l + 11. Let d = a - 2. Suppose 4*x - 16 = -4*o, o - 3*x = -0*o - d. What is the smallest common multiple of o and 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) be the second derivative of z**7\/56 - z**6\/15 + 3*z**5\/40 - z**3\/24 + 59*z. Determine x so that s(x) = 0.\nAnswer: -1\/3, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1135 + 2877. Suppose 0 = -5*p - n + 22007. Suppose 0 = 6*q - 3*q - p. Is q a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 44 - 27. Let t = 23 - z. Let u be 8 - t - (1 + -18). What is the greatest common divisor of 95 and u?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 187624831 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) be the first derivative of -1\/6*x**3 + 0*x - 5 + x**2. Factor t(m).\nAnswer: -m*(m - 4)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xxjwqqqxqxwqqaqqxq. Give prob of picking 1 j and 1 x.\nAnswer: 5\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3 (base 4) to base 15.\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1 - -1 - -1) + -2 + 0?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -33 - -47. Suppose -3*r - 2*g = b, -5*r = -g + 4*g + 23. Let k(j) = 2*j**2 + 4*j + 12. What is the tens digit of k(r)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 34443882 to the power of 1\/5, to the nearest integer?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 35 - 28. Let z be 69 - ((-13)\/(-78) + v\/(-6)). Calculate the greatest common factor of 10 and z.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 26933534 is divided by 87?\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -32.6 - -30. Let q = y + 3. Let c = -75 - -71. Put c, 0.5, q in descending order.\nAnswer: 0.5, q, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = -1718*u - 8511. Give a(-5).\nAnswer: 79","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.04 + -0.63. Let q = z + 0.1. Let w = 0.56931 + q. Round w to 4 dps.\nAnswer: -0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*((sqrt(192) + -3 + sqrt(192)*1)*-4 - (2*2*sqrt(192) - (1 + sqrt(192) + -3))**2).\nAnswer: 320*sqrt(3) + 3440","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 t and 2 f when four letters picked without replacement from {t: 5, f: 2}.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -6 + -66. Let h = -845481.9000236 - -845553.9. Let s = h + d. Round s to six decimal places.\nAnswer: -0.000024","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -6\/25841, 5, 42?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 164928 is divided by 37?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is -16498644 greater than 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in eighty-six thirds of a week?\nAnswer: 4816","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1275 and 630.\nAnswer: 53550","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 31705?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1664 is divided by 481?\nAnswer: 221","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 283 minutes before 1:11 AM?\nAnswer: 8:28 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-1)\/(-3*4\/204). Solve -5*q = 2*k - 0*k - 11, -2*q - 5*k = -s for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 690 is divided by 77?\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = 2*t - 96 - 93 + 194. Let o(x) = x**2 - 4094 + 4094. What is o(g(q))?\nAnswer: 4*q**2 + 20*q + 25","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7895 is divided by 51.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -1 + 29767a?\nAnswer: 297679","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.12 + 4.12. Let b be 4\/6 + 65\/15. Suppose b = -2*j + j - 5*l, -3*l + 25 = -5*j. Sort j, 0, o.\nAnswer: j, 0, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (3*2\/(-2))\/(-1). Suppose -3*p = 3*d - 60, 12 = 2*p - 3*d - 2*d. Suppose m*k + 7 = p. Calculate the remainder when k is divided by 2.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2236?\nAnswer: 2, 13, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 6335920039 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 13\/(-858)*-22*-4*((-255)\/(-2))\/(-5).\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 27, 29, 29, 27, 23, 17?\n\"Answer: -i**2 + 5*i + 23","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -1036, -6\/7, 0, 1, 7595 in descending order.\nAnswer: 7595, 1, 0, -6\/7, -1036","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = -4*b + 12817*b**2 + 4 + 2*b - 5. Let n be y(6). Let u = n - 231399. Round u to the nearest one hundred thousand.\nAnswer: 200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 5555729 and 6063?\nAnswer: 2021","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 1 - 2)*(h + 3 - 3)*(6 - 14 - 62).\nAnswer: 210*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 2\/(-3)*(-3)\/2. Let c = 27.3 + -17.3. Put c, -4\/3, f in increasing order.\nAnswer: -4\/3, f, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*a - 8 = -24 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) be the first derivative of 2*o**3\/27 + o**2\/9 - 4*o\/9 - 2. Factor l(g).\nAnswer: 2*(g - 1)*(g + 2)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 (base 8) in base 5?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 4a90b6 (base 13) in base 14?\nAnswer: 348836","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 197794 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.11021*1.\nAnswer: 0.11021","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -5198, -10526, -15860, -21206, -26570, -31958, -37376, -42830?\n\"Answer: -p**3 + 3*p**2 - 5330*p + 130","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = 5*n. Let c be x(-1). Let u(q) = -q**2 - 7*q + 5. Let v be u(c). Let b be 19\/3 + (-4)\/3. What is the greatest common factor of b and v?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9*k**3 - k - 69*k**2 - 13 + 31*k**2 + 51*k**2 - 8*k.\nAnswer: -9*k**3 + 13*k**2 - 9*k - 13","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z**4\/9 + 230*z**3\/9 + 5434*z**2\/9 - 26774*z\/9 - 10660\/3 = 0. Calculate z.\nAnswer: -78, -41, -1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 3, 2\/7, -0.1, 4, 3548, 1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v - 95 = -5*q, 8*v - 4*v = -3*q + 89. Let z = q + -32. Let a = -7 - z. Which is bigger: a or 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 8\/12 - (-5)\/(-3). Let p(g) = -8*g**3 + 2*g + 1. Give p(i).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 3.5 - 3.51. Let r = 0.51 + z. Which is the nearest to -1? (a) -6 (b) -1\/2 (c) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((m**0)**(19\/3)\/(m**(-4\/3)*(m*m**0)\/m))**(-38))**(14\/9) assuming m is positive.\nAnswer: m**(-2128\/27)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 7\/((-140)\/(-615))*(-7)\/(-21)*-4\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 13142*n**4 + 19440?\nAnswer: 52568*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -7478\/5 (b) 2 (c) 9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-274)\/((-6)\/(8 - 2)). Find the common denominator of (q\/126)\/(((-32)\/12)\/4) and -1\/21.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5035 is divided by 73.\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -32*c*u**2 + 2166*c*u - 3*u**2 - 1304*u - 1 wrt c?\nAnswer: -32*u**2 + 2166*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1773\/153 + -11)*17\/(-17).\nAnswer: -10\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = -9*y**3 - 2*y**2 + 194*y - 193. Determine x(1).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 2737479128488 plus -0.05?\nAnswer: 2737479128487.95","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) be the first derivative of c**3\/3 + 7*c**2\/2 - 5*c - 4. Let w be d(-8). Suppose 0*x**w - x**4 + 0 - 1\/2*x + x**2 + 1\/2*x**5 = 0. Calculate x.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -32338 - -0.5.\nAnswer: -32337.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from djdbldddljdd. What is prob of sequence jl?\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + (sqrt(2) + 1)**2 - (sqrt(8) + sqrt(8) + (sqrt(72))**2)) + (sqrt(2) - (-5*(0 + sqrt(2) + sqrt(2)))**2) + 1.\nAnswer: -270 - sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = 16*a + 12*a + 15*a - 40*a. Let z(v) = 9*v + 2. Let j(u) = 2*w(u) - z(u). Determine j(-3).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-21)\/(-4)*112\/3. Suppose -l = j - 196, j - 12*l = -8*l + a. What is the remainder when j is divided by 50?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = 3836*j - 65279. Calculate b(17).\nAnswer: -67","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 n when two letters picked without replacement from nnhgn?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-6*(-1*sqrt(441) + sqrt(441)) + sqrt(441))\/(sqrt(36)\/(sqrt(12)\/sqrt(3))))\/(5*(1*sqrt(847)*1 + sqrt(847))).\nAnswer: sqrt(7)\/110","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = -3*n - 2*f, n + 4*f = -0*f + 20. Let r be 18 - (-1)\/2*-2. Suppose -4*g - o - r = n, 5*o = g + 4*g + 40. What is the smallest value in 1, g, 5?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = 432*i - 49. Let c(n) = 215*n - 21. Let g(l) = 14*c(l) - 6*k(l). Let x(d) = -d**2. Give g(x(w)).\nAnswer: -418*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -28*w = -27*w + 4*y - 4517, 10*y = 10. Is w a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 697 + -682.15. Let a = n + -15. Let l = a - -1.55. What is l rounded to zero dps?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r*r**(-17)*r)**(-2\/39)\/(r**(2\/5))**45 assuming r is positive.\nAnswer: r**(-224\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + -3*sqrt(208) + 3)**2.\nAnswer: -24*sqrt(13) + 1873","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jsj when three letters picked without replacement from {s: 2, h: 1, v: 1, t: 7, j: 3}?\nAnswer: 1\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) be the second derivative of i**5\/60 - 5*i**4\/36 + 2*i**3\/9 - 4*i + 8. Let t(v) = 0. Calculate v.\nAnswer: 0, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = a**2 - 5. Suppose 0 = 5*p - 7*p + 10. Let y(u) = 3*u**2 - 18. What is p*y(w) - 18*f(w)?\nAnswer: -3*w**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1 + sqrt(175))*5*-4)**2.\nAnswer: 4000*sqrt(7) + 70400","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 8949, 8951, 8953?\nAnswer: 8955","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-33 - 2 + 27 - 26)*(-18 - 16*r**2 + 13 + 8).\nAnswer: 544*r**2 - 102","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 equal to -0.2962804?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 10*b**4*w - 314*b**3*w + 438*w - 2 wrt b?\nAnswer: 40*b**3*w - 942*b**2*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (6\/35)\/(18\/(-60)). Suppose -5*d + 3*d = -2*b + 10, b - 13 = -3*d. Let j = b - 3. What is the biggest value in y, 0.5, j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 138 + -131. Suppose i*g - 380 = -275. What is the remainder when g is divided by 4?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -l = -5*r - 31, 101 = 5*l + 3599*r - 3597*r for l.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a**(-14))**(4\/9))**(-4\/5) assuming a is positive.\nAnswer: a**(224\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -2926953 or -2926954?\nAnswer: -2926953","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -460, -937, -1416, -1897, -2380, -2865, -3352?\nAnswer: -3841","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -21.1937 - -0.0737. Let s = -17.702 - b. What is s rounded to one dp?\nAnswer: 3.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-5)\/9 - (20\/(-10))\/(-6)?\nAnswer: -8\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20*r = 794*r + 120778 - 18214 for r.\nAnswer: -126","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**4*x\/(x\/(x\/(x**(-1)*x)*x*x))*x**(-4)*x\/(x*(x**(-6)\/x)\/x*x))**38 assuming x is positive.\nAnswer: x**380","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 73\/40 and 71\/192.\nAnswer: 960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c**5\/7 - 25*c**4\/7 + 82*c**3\/7 + 918*c**2\/7 + 1485*c\/7 + 675\/7 = 0. Calculate c.\nAnswer: -3, -1, 15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {o: 11, p: 2, t: 1}. What is prob of sequence ppo?\nAnswer: 11\/1092","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 107, 220, 347, 494, 667?\nAnswer: 872","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*d - 43 = 4*x + 2*d, 17*x - 5*d + 133 = -5*x for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = -3*i**3 - 2*i**2 + 8*i + 1. Let y(u) = 9*u**3 + 5*u**2 - 22*u - 4. Determine 11*d(m) + 4*y(m).\nAnswer: 3*m**3 - 2*m**2 - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 24*h - 1333*h + 596*h = 1289*h + 122122 for h.\nAnswer: -61","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 100022012220120002 + 0?\nAnswer: 100022012220120002","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = n**3 - 5*n**2 + 2*n - 4. Let v(o) = -o**3 + 15*o**2 - 12*o - 23. Let t be v(14). Let d be f(t). Which is bigger: d or 22\/3?\nAnswer: 22\/3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*l**2\/9 - 2090*l\/9 + 656788\/9.\nAnswer: -2*(l - 253)*(l + 1298)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:35 PM and 4:06 AM?\nAnswer: 691","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(4 + sqrt(3388) + 0)**2 + -2.\nAnswer: -20426 - 1056*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 28640155 and 4230.\nAnswer: 235","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Are -0.89176 and -1 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-12)\/12*(-418)\/(-38).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 47567 (base 13) to base 2\nAnswer: 11111110111111001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence aszz when four letters picked without replacement from {a: 1, o: 1, p: 1, z: 2, i: 1, s: 1}?\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 3288 and 13572084?\nAnswer: 3718751016","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 83133 and 3417690.\nAnswer: 30759210","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -4 (b) -519 (c) -3768 (d) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -e0cee (base 16) in base 11?\nAnswer: -579904","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 2\/(-3)*(-7 + -2). Let n = 7 + y. What is the units digit of n?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 (base 8) in base 13?\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 181\/244 + 1\/122. Sort -0.1, -0.5, 2\/3, o in ascending order.\nAnswer: -0.5, -0.1, 2\/3, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 65 is divided by 23?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor -7*x**3 + 332*x**2 - 2013*x - 50112.\nAnswer: -(x - 29)*(x + 9)*(7*x - 192)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 1 - 9*g)*(-g + 0*g - 2*g) + (-4 - 1 + 3)*(-2*g**2 + 2*g**2 - 3*g**2).\nAnswer: 33*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 243 minutes before 9:55 AM?\nAnswer: 5:52 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*y + 15 = 0, -661 + 607 = 2*r - 6*y for r.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.56274 rounded to 1 decimal place?\nAnswer: 0.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = -b**3 + 139*b**2 - 125*b - 1805. What is q(138)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 208 is divided by 7?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 32 = -21*s - 31. Which is the nearest to 0.2? (a) -1\/3 (b) 0.3 (c) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 46*g - 7*g**2 + 6*g - 32*g**5 - 24*g + 16*g - 5*g**2 wrt g.\nAnswer: -1920*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -28*n**2 - 10\/3*n**3 + 12 + 58\/3*n = 0.\nAnswer: -9, -2\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -36 - -75. Does 15 divide h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2\/60024945 or -8?\nAnswer: -8","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1)\/((-1)\/((-5)\/((-10)\/(-4)))).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = 23*n - 18. Let g(z) = -2*z + 6. Let i(o) = -o. Let b(p) = -g(p) - 6*i(p). Let x(l) = 17*b(l) - 6*u(l). Let h be x(4). Is -2 at most as big as h?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -553389038 divided by 362\nAnswer: -1528699","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 11668 divided by -11.\nAnswer: -11668\/11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2\/(-6))\/((1022\/1302)\/73).\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i - 105 = 4*r + 73, 5*i + 258 = 3*r. Let g = i - -54. Let y be (0\/(-4))\/((-1)\/(-1)). Solve g = 4*v - y*v for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -6, 22, 80, 174, 310?\n\"Answer: d**3 + 9*d**2 - 6*d - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.15, 3, 48.25 in decreasing order.\nAnswer: 48.25, 3, 0.15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -8 - (-4 + (-1 - 4)).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Add together -0.1 and 452924.2.\nAnswer: 452924.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round 39.17022 to the nearest 10.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -84*h**3 - 212*h**2 + 126*h**2 + 13*h**3 wrt h?\nAnswer: -426","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-27)\/(-6)*((-22)\/(-6) - 5).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: ((-7)\/175*2)\/(7\/(21\/2))\nAnswer: -3\/25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 637932?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*d**2 - 454305*d - 67171428 = 0 for d.\nAnswer: -151287, -148","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 7 + -4 - (4 + -3)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 310 minutes after 12:29 PM?\nAnswer: 5:39 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 21\/6*8\/7 + -1. Is x equal to 2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-1)\/24*-2)\/(1627\/(-1627)).\nAnswer: -1\/12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o + 16 = -n, 5*n = -0*n + 25. Let z = 1 - o. What is the lowest common multiple of 7 and (z\/(-10))\/(2\/10)?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -106, -213, -320, -427, -534?\n\"Answer: -107*s + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 2298084.5 to the nearest one hundred thousand.\nAnswer: 2300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 20333324899 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = h**2 + 1241*h + 160522. Determine l(-147).\nAnswer: -296","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 24*m - 19*m for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4548 + 4548 + 45*d.\nAnswer: 45*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q**4 + 60*q**3 + 12*q**2 - 188*q + 120 = 0. Calculate q.\nAnswer: -2, 1, 15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Work out -64.692957 * -0.1.\nAnswer: 6.4692957","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y = 12, 0 = -l - l - 3*y + 25. Suppose -5*z + 2*z = -36. Suppose 0*f - 3*f = -z. Solve f*x + 4 = -l for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l + 48*j - 53*j = -6012, 2*l = j + 4008. Is l a multiple of 38?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 6963897 to the nearest integer?\nAnswer: 2639","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = y**2 + 17*y + 5. Let k be h(-17). Suppose 5 = j - k*f, 3*j + 11 = -3*f + 26. Solve -j*i - b + 25 = 0, i - 5*b + 28 = 7 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 35 divide 957845?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 37.99132 rounded to two decimal places?\nAnswer: 37.99","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -730, -2747, -6050, -10645, -16538, -23735, -32242?\n\"Answer: -p**3 - 637*p**2 - 99*p + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nrji when four letters picked without replacement from {p: 2, j: 2, k: 2, i: 1, r: 1, n: 1}.\nAnswer: 1\/1512","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-45)\/60*(-3)\/9*-76?\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -5\/9934 + 134129\/39736. Factor -v*c + 3\/8*c**2 + 0.\nAnswer: 3*c*(c - 9)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-1)\/(-2)*(174 - 14). Calculate the highest common factor of s and 60.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*n - 416 = 2*g - 385, -n = 38*g - 39*g - 9 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 4, x: 2}. What is prob of sequence zx?\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 18724.\nAnswer: 2, 31, 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z*z**2)\/((z\/(z*z*(z**12*z)\/z*z))\/z)*(z**(-4)\/z)\/(z*z\/(z**(-2\/19)*z)*z) assuming z is positive.\nAnswer: z**(207\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(272) + -5 - -2*(sqrt(1377) + 1))**2.\nAnswer: -156*sqrt(17) + 11501","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1563414422?\nAnswer: 2, 3457, 226123","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1797676?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Are 0 and 16\/502377 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Are -5841796 and -5841796 equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -86, 0, 1, -2\/15, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -176 + 2b62?\nAnswer: 29ca","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 6824039 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 133 divide 114114?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = 5*m - 13. Let i be x(4). Suppose 16 = 3*o + i. What is the first derivative of -117*k**3 + 117*k**o + 0*k**4 - 51 + 6*k**4 wrt k?\nAnswer: 24*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6098237 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 3 + 0 + (-3 + 2 + 2)*(4 + 0 - 2) - 1 + 6 - 4 + 1 - 4 + 2)*(-8257*t**3 + 16507*t**3 - 8250*t**3 - 4360*t**4).\nAnswer: -17440*t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00000730756 rounded to five dps?\nAnswer: -0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*g + 2. Let d = 1 + 5. Let p be ((-2)\/(-4))\/((-1)\/d). Is p > g?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) be the second derivative of h**8\/2688 + h**7\/720 + h**6\/720 - h**4\/2 + 5*h. Let p(b) be the third derivative of k(b). Determine q so that p(q) = 0.\nAnswer: -1, -2\/5, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = -h**3 + 2*h**2 + h + 2. Let m(d) = 2*d**3 - 2*d**2 - 2*d - 3. Suppose -2*l - 4*c - 5 = -l, 6 = 4*l + 3*c. Determine l*v(q) + 2*m(q).\nAnswer: q**3 + 2*q**2 - q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 60565.323 hours in weeks?\nAnswer: 360.507875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*n - 2035991 - 2*n**3 + 2035991 - 3*n.\nAnswer: -2*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = 2*p**2 - 9*p - 49. What are the prime factors of w(-15)?\nAnswer: 2, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -371023*j**2 - 795*j - 99.\nAnswer: -742046","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 0 * -32527722\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1036*z + 516*z + 518*z.\nAnswer: -2*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-6)\/10)\/(279\/372)?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z*z**(2\/23))**(-1\/23)\/(z**(-37)*z**(1\/36)) assuming z is positive.\nAnswer: z**(703199\/19044)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 14321963?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -417 - -427. Suppose 4*x + 5814 = z*x. Is 20 a factor of x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1162 - -2188. Is v a multiple of 27?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 715 divided by -5?\nAnswer: -143","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1572312 and 392?\nAnswer: 392","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -123 + 163. What is the greatest common divisor of v and 165?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 189230 to the nearest 1000.\nAnswer: 189000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(-3\/5)*a\/(a*a\/((a*a**(-1))\/a)*a))\/(a*a\/a**9*a**(2\/13))*(a**(-1\/12)\/(a*a**(2\/35)*a))**(9\/8) assuming a is positive.\nAnswer: a**(12203\/14560)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(112) + sqrt(112)*-1 + sqrt(112))\/sqrt(4) - (sqrt(448)*2)**2*-2.\nAnswer: 2*sqrt(7) + 3584","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round 1411.6 to zero decimal places.\nAnswer: 1412","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) be the third derivative of z**5\/60 + z**3\/2 + 8*z**2. Let t be (2 - 1)*(1 + -1). Let h be w(t). Let m(u) = u**2 - u - 4. Calculate m(h).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*y**2 + 59*y**2 + 62*y**2 - 5*y**2 + 14 - 14 + (-y + 7*y - 4*y)*(2*y + 0*y - 4*y))*(-y - 4*y + 4*y)*(3 - 4 + 2).\nAnswer: -107*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor -m**2\/2 + 66*m.\nAnswer: -m*(m - 132)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert -348a (base 12) to base 16.\nAnswer: -16ea","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = 51*u - 1130. Let m be f(60). Calculate the greatest common factor of m and 579.\nAnswer: 193","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k - 2*i + 3 = 0, -5*k - 25 = -10*k - 5*i. Suppose k = -10*w + 31. Suppose 36 - 9 = 9*v. Solve 6*p - w*p = -v for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = -3872*p. Let w(g) = 19958*g - 1 - 19957*g + 1. Give r(w(v)).\nAnswer: -3872*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -122 - -95. Let k = p - -4. Let m = k + 51. What are the prime factors of m?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -14 in 12, -5, -1\/4, 21?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.4843 - 1.4843. Which is smaller: n or 11449?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 303, 173, 43, -87, -217, -347?\nAnswer: -477","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -33161 or -0.359?\nAnswer: -33161","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 134092003 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f = -5*j - 3249 + 284, 0 = j + f + 589. Let c be j\/30 - (-2)\/(-10). Let a = c - -64. What is the remainder when a is divided by 15?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*b = 2*u - 20, 2689*b - 2672*b = 3*u + 62 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -32834813, -65669629, -98504445?\nAnswer: -131339261","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from gggattgt. Give prob of sequence at.\nAnswer: 3\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4\/6*12\/(-28)*(-126)\/432?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -169\/10242780 and -11\/12884.\nAnswer: 10242780","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -65*y**6 - 68*y**4 - 18685*y**2 wrt y.\nAnswer: -7800*y**3 - 1632*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13*d - 7*d = 12 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-10)\/(10\/(-2)) + 997?\nAnswer: 3, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 12*(-24)\/(-960)*30\/(-6)*(-4)\/(-2).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -3404, -6808, -10212, -13616?\n\"Answer: -3404*k","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 10, 3, 4, 1, -92 in descending order.\nAnswer: 10, 4, 3, 1, -92","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = 10*y + 231. Let b be j(16). What is the biggest value in -3\/5, b, 0.2, 2\/7?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = d**3 - 5*d**2 + 8*d - 35. Let k be o(5). Solve k*w + 0 + 25 = 0 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (i**2 + i**4 - i**2)*(7*i - 11*i - 8*i).\nAnswer: -12*i**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = 7*s**3 + 2*s**2 - 2*s + 15. Let z(o) = -8*o**3 - 3*o**2 + 3*o - 14. Let a(g) = 3*w(g) + 2*z(g). Differentiate a(b) with respect to b.\nAnswer: 15*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -52440 by -276.\nAnswer: 190","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 5049.834 take away -0.18?\nAnswer: 5050.014","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -992*y + 2978 - 33730 = 0 for y.\nAnswer: -31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 22 - (16 - 6 - (-11 + 9))?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 24454247 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = -2*r - 12. Let o be g(-5). Let j be 18\/12 - ((-33)\/6 - o). Suppose -4*c = j*c - 6327. Is c a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -4*(-5)\/20*(-3)\/(-9). Which is greater: v or -3\/4?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = -p**2 + 7*p + 8. Let t be o(8). Suppose -y - 3 = -t*y, -29 = -4*g - y. What are the prime factors of g?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 13558185 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: Put -2215, -230, -4 in decreasing order.\nAnswer: -4, -230, -2215","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 3 divided by -21903147\nAnswer: -1\/7301049","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Divide 70 by 605695.\nAnswer: 14\/121139","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1.1 + 0.777.\nAnswer: 1.877","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nnv when three letters picked without replacement from {v: 9, n: 10}?\nAnswer: 45\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -8 - -4. Which is the second smallest value? (a) -2\/7 (b) d (c) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 1041, 4169, 9381, 16677, 26057, 37521?\n\"Answer: 1042*m**2 + 2*m - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jjh when three letters picked without replacement from rrrkkrjhujurrrkrrjru?\nAnswer: 1\/1140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0, 0.2, 2669, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 530 minutes after 3:48 AM?\nAnswer: 12:38 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let -6*x**4 - 981*x**3 - 4314*x**2 - 3321*x + 2862 = 0. Calculate x.\nAnswer: -159, -3, -2, 1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 44568?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1617.1 litres to millilitres.\nAnswer: 1617100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) be the second derivative of 5*a**4\/12 - a**3\/3 - a**2\/2 - a. Suppose 8*g + 10 + 14 = 0. Let b(f) = 4*f**2 - f - 1. Determine g*b(x) + 2*d(x).\nAnswer: -2*x**2 - x + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = -d**2 + 32*d - 172. What is the remainder when 733 is divided by l(23)?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4\/6*((-2)\/(-21))\/(86\/(-387))\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 47\/4 of a gram?\nAnswer: 11750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7617 is divided by 125?\nAnswer: 117","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -5 - -14. What is the tens digit of -60*(15\/u - 3)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-44)\/70)\/((-108)\/(-45)). Let n = 1\/42 - a. Find w, given that 1\/7*w**2 - 3\/7*w + n = 0.\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(39)\/(-1*sqrt(12) - sqrt(12)))**2.\nAnswer: 13\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p - 15 = 5. Let v = -1493 - -1576. What is the lowest common multiple of p and v?\nAnswer: 332","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6*(-5)\/(-20)*(-22)\/3960*5.\nAnswer: -1\/24","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18*p - 168 = 6*p for p.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:21 AM and 12:06 PM?\nAnswer: 705","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 82 + -94. Put 5, 3, 4, g in descending order.\nAnswer: 5, 4, 3, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 2\/10*(1 + -4). Which is the third smallest value? (a) -13\/3 (b) 2\/3 (c) q (d) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -97 - -644. Which is smaller: v or 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0002452 to five decimal places.\nAnswer: 0.00025","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 195 minutes after 11:44 AM?\nAnswer: 2:59 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 115\/1998 and -67\/186894.\nAnswer: 6915078","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 6561767 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: What is -0.5 times -0.33?\nAnswer: 0.165","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -4483205, -4483204, -4483203, -4483202, -4483201?\n\"Answer: n - 4483206","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Total of -3.3 and 0.141344.\nAnswer: -3.158656","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -11.02 + 6.02. What is the closest to 0.2 in -0.3, t, 3, 6\/41?\nAnswer: 6\/41","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -129.839 to 0 decimal places.\nAnswer: -130","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 630 minutes after 11:37 PM?\nAnswer: 10:07 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.43 + -0.93. What is the second biggest value in q, -0.2, -1.5?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -4 (b) 65 (c) -0.5 (d) 756\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify q**(-3)\/q**(2\/15)*q**(-2\/23)*q\/q**3 assuming q is positive.\nAnswer: q**(-1801\/345)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -195553, -391110, -586667, -782224, -977781?\nAnswer: -1173338","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) be the second derivative of -11*h**3\/6 + 21*h**2 - 107*h - 1. Let x be w(3). Solve -f - 2*f = x for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = 2*m - 11. Let a be n(8). Find the common denominator of (a\/4)\/((-1)\/(-24)) and -56\/11.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 20*i**2 - 312*i - 128.\nAnswer: 4*(i - 16)*(5*i + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k = -2 + 5, 27 = 2*a - k. Does 8 divide a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 3567*c**4*q - c**2*q + 30913*q wrt c?\nAnswer: 14268*c**3*q - 2*c*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -102847500 divided by -27426?\nAnswer: 3750","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: (-1 - -6) + 1 - 3\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 2167497 to the power of 1\/2, to the nearest integer?\nAnswer: 1472","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(156) + 3*sqrt(156))\/sqrt(12))**2 - (-4 + sqrt(91)\/sqrt(7))**2.\nAnswer: 8*sqrt(13) + 179","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-6)\/10*10\/(-14). Factor 3\/7*n**2 + k*n + 0.\nAnswer: 3*n*(n + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:20 AM and 6:30 AM?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.32? (a) -5 (b) -2 (c) -3 (d) -34 (e) 207 (f) -0.5\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 4, -5\/4, 905, -0.4, -3\/4, 0.48, -1\/5?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -8788, -19157, -29552, -39979, -50444, -60953?\nAnswer: -71512","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 23565023 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 12997?\nAnswer: 41, 317","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.013199019 rounded to four dps?\nAnswer: -0.0132","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = 2*l**3 + 10*l**2 - 79*l + 869. What are the prime factors of x(13)?\nAnswer: 2, 2963","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 52080.\nAnswer: 2, 3, 5, 7, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -3802850*d*s**3 + 71844*d*s**2 + 3*s**2 + 4*s wrt s.\nAnswer: -22817100*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = y**2 - 5*y - 8. Calculate the remainder when 30 is divided by g(-3).\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 115016279 to the nearest integer?\nAnswer: 486","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d - 2*g = 18 - 90, -215 = -5*d + 2*g. Let v = d - 25. What is the tens digit of v?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:40 AM and 9:50 AM?\nAnswer: 310","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = 3*f**3 + 4*f**2. Let j be (-1)\/(((-1)\/(-3))\/(-1)). Calculate the remainder when z(j) is divided by 40.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -24*h + 23*h + 17 = 5*p, -3*h + 7*p - 37 = 0 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = -w**3 - 26*w**2 - 49*w + 53. Give v(-24).\nAnswer: 77","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -v + x + 1 = 0, v - 3400*x = -3397*x - 1 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*x - 87 + 115 = 5*j, -3*x + 9*j = 0 for x.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 30\/(-6)*6\/15\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 23 and 499.\nAnswer: 11477","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-3)\/(45\/50))\/((-4)\/(-90)*15)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*x**3\/6 - 11*x**2\/3 - 17*x\/6 - 1\/3 = 0. What is x?\nAnswer: -2, -1, -1\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 6\/(-4) + 62\/4. Suppose -4*c - 4 + 5 = -3*x, -c + h = 2*x. What is the second derivative of -c*i**4 - 3*i + 8*i**4 + 0*i**4 + 0*i wrt i?\nAnswer: 48*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 84 and (-1074)\/(-6) - (1 + -11).\nAnswer: 756","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 112175771 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 b and 1 l when two letters picked without replacement from alrlhhabhbah.\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = -94*i**2 - i + 3. Let b = -27 - -35. Let n(o) = -283*o**2 - 3*o + 8. Let j(r) = b*s(r) - 3*n(r). What are the prime factors of j(1)?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 45.4633ml to litres.\nAnswer: 0.0454633","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 113169 divided by -37723?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -2.5 - -2. Let g = 1 - 6. Let o = g - -4.6. What is the second smallest value in q, -3, o?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 725 is divided by 66?\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.8038 rounded to two decimal places?\nAnswer: 0.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 14.999175 + -15. What is v rounded to 4 decimal places?\nAnswer: -0.0008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 3 - 2*v)*(2 - 2 - 2) + 0*v - 20*v - 6*v + 2*v - 2*v - 6*v.\nAnswer: -28*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -8 + 10. Let y = -1.88 - -2. Let l = y + -0.09. Which is smaller: s or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = -x**2 + 3*x. Let c(b) = 2*b**2 - 5*b. Let s(i) = -3*c(i) - 5*j(i). Let l(k) = 5500*k - 11020*k - 55*k**2 + 5520*k. Determine l(s(y)).\nAnswer: -55*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = -j**3 - 4 + 1 + 6. Let d(f) = 4*f**3 + f - 10. Let h = 80 + -76. Suppose -h*o + 14 = -11*o. Determine o*d(i) - 7*y(i).\nAnswer: -i**3 - 2*i - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(-1\/3))**(-2) assuming x is positive.\nAnswer: x**(2\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -3\/10, -5.4, -24\/7 in descending order.\nAnswer: -3\/10, -24\/7, -4, -5.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = 5*r - 1. Let y(m) be the second derivative of m**4\/12 - 7*m**3\/2 + 5*m**2\/2 + 18*m. Give -9*a(n) - 2*y(n).\nAnswer: -2*n**2 - 3*n - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -47\/218586 and -49\/66.\nAnswer: 2404446","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*y**5 - y**5 - y**5 + 48*y**3 + 83*y**5 - 48*y**3 + y**5 - 4*y**5 + y**5 + (0 + 0 - 2*y**4)*(1 - 1 + 2*y).\nAnswer: 75*y**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 178072 and 376?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19*a - 231 = 12*a. Calculate the remainder when 97 is divided by a.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-549)\/(-366))\/(747\/(-120)). Which is smaller: -1 or g?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = b**2 - 6*b. Let k be z(6). Suppose -3 = -4*g + 5. Suppose 2*y + g - 10 = 0. Solve k*r + y = r for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -316 or -317?\nAnswer: -316","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-1 - 1 + 4)*(1 - 4 + 4) + 27 + 23 + 102 - 1 + 4 - 1)*(-3 - 2*q - 2 - 1) + 3 - 2*q - 3.\nAnswer: -314*q - 936","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:54 AM and 1:07 PM?\nAnswer: 493","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.0362 - -0.1368. Let t = d - 0.11082. Round t to 3 decimal places.\nAnswer: -0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s + s = 2*v - 253, 4*v = -3*s + 757. Is s prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3 * -750\nAnswer: -2250","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 5948*l**2 - 43*l - 2622284 with respect to l.\nAnswer: 11896*l - 43","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-24)\/(-9))\/(-1)*(-15)\/20?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -137.116526 to 2 dps.\nAnswer: -137.12","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express v**2 - 114*v**3 - 12041 + 12042 + v**4 + 0*v**4 + (-4 + 3 + 0)*(-2*v**4 + v**4 + 0*v**4) as m*v + w*v**3 + a*v**2 + f*v**4 + s and give a.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1 or 2\/34854751?\nAnswer: 2\/34854751","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (11*y**4 + 3*y**4 - 6*y**4)*(4 - 6 + 3 - y).\nAnswer: -8*y**5 + 8*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (1\/14)\/((-1)\/(-2)). What is the fourth biggest value in 3\/2, 5, -4, q, -1\/6?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -2712 + 54351\/20. Let p be 6\/15*159765\/36. Let x = p - 1755. Find the common denominator of x and f.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 3\/12 - 28\/(-16). Suppose -16 = -4*i - 0*i - c*z, -27 = -5*i + z. Suppose 2*g = -0*l - i*l + 4023, l - 10092 = -5*g. Is g prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = -3*w**3 + 2*w**2 + 2*w - 3. Let y be r(2). Suppose -101 = 5*p + 54. Let m = y - p. Solve 2*g = 3*h - 3*g - m, -5*h - g = 20 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = 2*t**2 - t - 3. Calculate n(0).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (51 + 4355)\/(2\/8).\nAnswer: 2, 2203","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from idmhmql. What is prob of picking 1 m, 1 d, and 1 i?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -173\/21 + 11\/7. Let d = q - -31\/6. Find the common denominator of 59\/22 and d.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 51095389, 51095386, 51095381, 51095374, 51095365, 51095354, 51095341?\nAnswer: 51095326","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2219*d + 4430*d = 2224*d - 52 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = 6*p**2 + 3*p + 3. Let a(g) = g**2 + g. Calculate -4*a(n) + l(n).\nAnswer: 2*n**2 - n + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = 4*o**5 - 4*o**4 - 2*o**3 + 25*o**2 - 3*o + 5. Let w(z) = -2*z**5 + 2*z**4 - 13*z**2 + z - 3. Let v(u) = 10*w(u) + 6*y(u). Factor v(j).\nAnswer: 4*j*(j - 1)**3*(j + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:58 PM and 12:19 AM?\nAnswer: 501","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does 80 divide 622320?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17*z = 5*z - 44 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u + 2*l + 12 = 0, 2*u - 3*u - 5 = 3*l. Sort -5, u, 2 in descending order.\nAnswer: 2, u, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 617226, 1234450, 1851674?\nAnswer: 2468898","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 62350683 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {z: 8, y: 1, v: 2, h: 9}. What is prob of sequence zhhz?\nAnswer: 56\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (50\/30)\/((-1)\/6). Let w(j) = j**3 + 11*j**2 + 9*j + 9. Is w(v) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {v: 2, y: 1, b: 1, g: 1, d: 1, s: 1}. Give prob of sequence svvb.\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -3842, -30640, -103352, -244928, -478318, -826472, -1312340?\n\"Answer: -3825*p**3 - 7*p**2 - 2*p - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = 25*k**2 + 4*k + 7. Let n be z(-2). Let r = -45 + n. What is the tens digit of r?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -7b4 - -2?\nAnswer: -7b2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0034742073 rounded to four dps?\nAnswer: 0.0035","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*n + 36 = 18*n. Suppose 4*t - n = 2*t. Suppose -t*k + 10*k - 20 = 0. Does 2 divide k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 23*j + 4*j**2 + 235 - 122 - 113 to the form k + u*j + y*j**2 and give y.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 80 + -70 + (-9 - -1).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 279\/62*(-18340)\/(-786)?\nAnswer: 105","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1449*r = 607*r + 185767 - 64463 for r.\nAnswer: -59","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vvvvvvvvv. What is prob of picking 2 v?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 432?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = -5*m + 3. Let r be l(2). Is -7 less than r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -19, -65, -9 in decreasing order.\nAnswer: -9, -19, -65","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 127, 129, 131, 133?\n\"Answer: 2*a + 125","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b = -b - 2, 2*b + 324 = 2*x. Is x a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1018 divided by -1018?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kww when three letters picked without replacement from rrrwqrrrrrrkw?\nAnswer: 1\/858","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 4\/(-22) + (-321)\/(-11). Round r to the nearest 10.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -11766 by 1532.\nAnswer: -5883\/766","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:18 AM and 1:52 PM?\nAnswer: 394","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1915 is divided by 213?\nAnswer: 211","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 33.96 (b) 4 (c) 0 (d) 4843\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 53025.\nAnswer: 3, 5, 7, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -207*f**2*z**3 + 3350*f**2*z - 2208*f**2 + 2*f*z**3 + 22*z**3 wrt z.\nAnswer: -1242*f**2*z + 12*f*z + 132*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -17*x**3 + 6*x**2 + 563 wrt x?\nAnswer: -51*x**2 + 12*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1 - 6*l**2 + l**2 - 5*l**2 + 5*l**2 to v*l + b + y*l**2 and give y.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = -62*f - 238. What is j(-4)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*v + 3*v - 10. Let l be v\/(-4) + 3\/6. Let s = l - -3. What is the units digit of s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 5298?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.023 + 0.092. Let b = g + -0.11499359. Round b to 6 dps.\nAnswer: 0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*z + 4*z = 16. Suppose k + z*k = -205. Let j = k - -46. Calculate the remainder when 24 is divided by j.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 156000373 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) be the third derivative of -7*t**2 + 0 + 0*t - 1\/60*t**5 + 0*t**4 + 0*t**3. Let n(z) = 3*z. Calculate s(n(u)).\nAnswer: -9*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*j - j + 0*j)*(3*j**3 - 2*j**3 - 2*j**3) - 2*j + 2*j**4 + 2*j + (-4*j**3 + 0*j**3 + 2*j**3)*(1 + j - 1) + 5 - 24*j**4 - 5.\nAnswer: -25*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 4, x: 1, y: 1, m: 2, q: 2, p: 2}. What is prob of picking 1 m and 1 x?\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Determine o so that 3*o**5 - 102*o**4 + 183*o**3 + 300*o**2 - 372*o - 384 = 0.\nAnswer: -1, 2, 32","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = -o**2 - 8*o + 12. Let p be u(-9). Factor -3*x**2 - 2*x**2 - 4 + 10*x - 3*x**2 + x**3 + x**p.\nAnswer: 2*(x - 2)*(x - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*d - s + 180 = 0, -448*s + 451*s + 225 = 5*d for d.\nAnswer: 45","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence aax when three letters picked without replacement from {f: 3, a: 9, x: 7}.\nAnswer: 28\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 5 (b) 0.2 (c) -4 (d) 632\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 40987.058 rounded to the nearest one thousand?\nAnswer: 41000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3145\/1258 - (386\/36 - 32\/144).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) be the second derivative of -k**5\/45 + k**4\/9 + 2*k**3\/3 + 11*k**2 + 4*k. Let y(h) be the first derivative of j(h). Factor y(g).\nAnswer: -4*(g - 3)*(g + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8950129 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = w + 261 + 297. Let k be 16\/(-24)*w*1. Suppose 12*f = 8*f + k. What is the tens digit of f?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.313 and 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 123020 - -14?\nAnswer: 123034","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = g**3 + 0*g**4 - g**4 - g**2 + 1 + g + 0*g**3. Let p be 3*45\/27*2\/(-5). Let m(t) = 2*t**3 + 2*t**2 - 6*t. Let j(h) = p*m(h) - 4*y(h). Factor j(x).\nAnswer: 4*(x - 1)**3*(x + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2\/13 - 20\/(-208).\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.35 - 0.05. Which is the closest to 1? (a) l (b) 1\/14 (c) -2\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = d**3 + 3*d**2 + 2*d - 1. Let a be u(-2). Let y(z) = 6*z**3 + z. Calculate y(a).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -2518 - -2518.382. Let x = -640046 - -640046.381839. Let w = x - p. Round w to five decimal places.\nAnswer: -0.00016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1546 + 1549. Let i(x) = -x**3 - x**2 + x - 7. Determine i(z).\nAnswer: -40","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 40 + -34. Let w(o) = o**3 - 5*o**2 - 6*o - 4. Determine w(q).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 591c (base 16) to base 6.\nAnswer: 253340","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 1265, -120602, -2 in decreasing order.\nAnswer: 1265, -2, -120602","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 618 a multiple of 163?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + (sqrt(891) - (3*sqrt(891)*-3)**2) + sqrt(440)\/(sqrt(70)\/sqrt(7)*6).\nAnswer: -72173 + 28*sqrt(11)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 15.581 - 15.4760614. Let s = 0.105 - f. What is s rounded to five decimal places?\nAnswer: 0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -131 + 888. What is the units digit of k?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: (34\/17)\/((-18)\/2)\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify o\/o**(1\/2)*o\/o**5*o**(-1\/6)*o**(-12)\/o assuming o is positive.\nAnswer: o**(-50\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -61\/106464 and -47\/123.\nAnswer: 4365024","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 43 + 4\/10 + (-65)\/(-25)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1493*o - 32 = -25*l - 1495*o - 11, 6*l - 2*l - 3*o = 10 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 11202023 (base 4) in base 10?\nAnswer: 22667","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 242*v = 4575 + 13091 for v.\nAnswer: 73","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 7 - 9. Let n(j) = -3*j - 2. Let c be n(l). Factor 0*g - 2\/3*g**c - 2\/3*g**5 + 0 + 2\/3*g**3 + 2\/3*g**2.\nAnswer: -2*g**2*(g - 1)*(g + 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(108) + (sqrt(108) - ((sqrt(108) + sqrt(108)*5)*4 - sqrt(108)) - sqrt(108)))\/sqrt(3))\/(3*sqrt(108) - sqrt(192)\/sqrt(4)).\nAnswer: -22*sqrt(3)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 7193.2, 5, -2\/3, -2\/11, 2\/31.\nAnswer: -2\/3, -2\/11, 2\/31, 5, 7193.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/3, -3, 0, 5 in descending order.\nAnswer: 5, 0, -2\/3, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*f - f - 10. Suppose -4*x + 110 = f*k - 136, -5*k + 655 = 2*x. List the prime factors of k.\nAnswer: 7, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-1)\/2)\/((-112)\/896)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = -3*g**2 - 2*g + 1. Let x be a(2). Let w = x + 17. Solve 0 = -3*q + 12, -w*q = 5*h - 4*q + 13 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 2*(1227\/6 - -1). What are the prime factors of b\/27 - 4\/18?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 2684, 2697, 2732, 2801, 2916?\n\"Answer: 2*t**3 - t**2 + 2*t + 2681","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 2329801805 or 2\/3?\nAnswer: 2329801805","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (6\/(-15))\/(1\/(-320)). Let y = z + -51. Is y composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0 divided by -350000\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.1, 1\/3, 8\/7, 5, 0.0578 in decreasing order.\nAnswer: 5, 8\/7, 1\/3, 0.1, 0.0578","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.0514 + 0.1716. Let i = f - 3.233. Let m = i + 3. Round m to one dp.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 6\/15 + (-896)\/(-10). Suppose 4*i = 12, 0 = 5*l - 3*i - 2*i - m. What are the prime factors of 4\/(-14) - (-258)\/l?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -979 - -979. Solve 6*o - 2*o = 5*m + 9, 4*m - 5*o = d for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 5928*k**3*w**3 + 16*k**3*w + 28*k**2*w**3 - 378*k**2*w**2 + 2*k**2 + 2*k*w**2 - 2*w wrt w?\nAnswer: 35568*k**3 + 168*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.06 < 35\/2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does 62 divide 81716?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 (base 14) in base 3?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 547056 a multiple of 29?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {c: 2, f: 1, n: 1, x: 8, w: 4, u: 4}. What is prob of sequence ccu?\nAnswer: 1\/855","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = -11 + 22 - 3 + 15*u - 8. Let b(p) = 34*p. What is b(i(z))?\nAnswer: 510*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1 - -12. Suppose 5*q + 505 - 512 = -4*h, 5*h = -5*q + 10. Calculate the remainder when c is divided by h.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = -w**3 - 5*w**2 + 4. Let k be p(-5). Suppose -a + 15 = 5*d, -2*a + 5*d = k + 11. Solve a*c - 1 = -c for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 29767651?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = m + 21. Suppose 4*d - 4 = -4*q - 0, -4*d + q = -29. Calculate the remainder when f(0) is divided by d.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = 3*a**2 + 8*a - 5. Let s be t(7). Let u(j) = 20*j - 62. Let p be u(4). What is the highest common factor of p and s?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*l - 2*l - 6*l.\nAnswer: -l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 11305 - 109005. Round p to the nearest 10000.\nAnswer: -100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6775.004 millennia to months.\nAnswer: 81300048","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 12 and 1866.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -3 - 1032111022011?\nAnswer: -1032111022020","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) -1\/4 (b) -6 (c) 4 (d) -0.233 (e) 2\/17 (f) -9\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-28896)\/(-3010)*(4\/18)\/2?\nAnswer: 16\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 26 and 2.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 6\/25 of a gram?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = u**2 + 6*u - 2. Let k be x(-6). Let c = k + 4. Let y(o) = -5*o + o + 3*o**c + 4*o. Let i(j) = -j. Calculate y(i(l)).\nAnswer: 3*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-18)\/(-12)*2920\/(-6). Let s be ((-1386)\/33 + 773)*(-3 + 2). Which is bigger: k or s?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = -x**2 + 20*x - 89. Determine w(14).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = 8*v**3 - 3*v**2 + 3. Let p(g) = 7*g**3 - 2*g**2 + 2. Suppose -2*r + 2 = -2*y, 0 = -5*y - 10 - 5. Determine r*f(h) + 3*p(h).\nAnswer: 5*h**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*j**5 + 11212*j**4 - 16954752*j**3 + 10028416852*j**2 - 2077175577182*j.\nAnswer: -2*j*(j - 3629)*(j - 659)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = 9*j + 337. Let z be w(-33). Solve 43 - z = 3*m for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 61*a + 164 + 562 = -494 for a.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -2.89 - -0.29. Let y be 0 + (1 - (-27)\/(-36)). What is the third smallest value in 5, y, n?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in -0.2, -6, 5, 4, -19, -3\/4?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fff when three letters picked without replacement from {g: 3, f: 7}?\nAnswer: 7\/24","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -72*b = -18*b + 1134. Let z be (-513)\/(-18)*(-28)\/b. What is the highest common factor of z and 703?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 163352570063 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -3.5 - -3. Let m = -0.53 - q. Let c = -9151 + 9152. Is m smaller than c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = -12*c**3 - 8*c**2 + 16*c. Let k(n) = -n**3 + 3*n**2 + 3*n - 2*n - 3*n**2. Let i(j) = -f(j) + 16*k(j). Solve i(s) = 0.\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s\/s**(-18)*s*s**5)\/((s**23\/s)\/(s*s**(-19))) assuming s is positive.\nAnswer: s**(-15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20*t = 142 + 38. Let w be (-2 + -1 + t)*2\/(-6). What is the greatest common factor of 164 and w?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x + 44 = -3*f + 635, -f + 201 = -5*x. Let v = 217 - f. Solve -3*l + 4*z = -26, -5*z = v + 4 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 210 a factor of 1718734?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*x - 92 = 27. Suppose -14*j - 2802 = -x*j. Suppose -9*m = -j - 767. What are the prime factors of m?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -b - 3*b**2 + 7*b + 3*b**2 + 3*b**3.\nAnswer: 3*b**3 + 6*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 8973217 and 64971?\nAnswer: 80758953","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -94 + 0.05\nAnswer: -93.95","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) be the first derivative of -a**6\/27 + 4*a**5\/45 + a**4\/9 - 8*a**3\/27 - a**2\/9 + 4*a\/9 + 46. Determine m, given that w(m) = 0.\nAnswer: -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 31, 2 in decreasing order.\nAnswer: 31, 2, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -52 + 59. Suppose -10*t = -f*t + 36. Let j(c) = -c**2 - 4*c. Let v(i) = -i. Determine t*v(z) + 3*j(z).\nAnswer: -3*z**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 539056 to the nearest integer?\nAnswer: 81","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -1341, -5694, -13315, -24504, -39561, -58786, -82479?\n\"Answer: -50*p**3 - 1334*p**2 - p + 44","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = 2*a**3 - 104*a**2 - 116*a + 527. Calculate p(53).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = -168*r - 672. Calculate p(-4).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 35\/((-29)\/(232\/20)).\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 14909080 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1295 - 269. Let b = -646 + q. Round b to the nearest 100.\nAnswer: 400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*(sqrt(1458)*-5 + sqrt(1458)))\/(sqrt(1089)*-3*-2)*-5*-5.\nAnswer: 150*sqrt(2)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -17b42 + 5?\nAnswer: -17b3c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:32 PM and 1:24 AM?\nAnswer: 592","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 86 - -26. Let h(f) = 5*f**2 + 45*f + 68. Let c be h(-17). Let t = c + -734. Calculate the greatest common factor of d and t.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify l**(-12)\/(l**(-4)\/l)*(l\/((l\/(l\/(l*l**(-1\/2))))\/l*l))**37 assuming l is positive.\nAnswer: l**(23\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort 8, 3, 5, 4, -4, -561 in decreasing order.\nAnswer: 8, 5, 4, 3, -4, -561","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 14 - 8. Suppose y - 55 = f*y. Let k = y + 20. Calculate the greatest common factor of 90 and k.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*v - 4*m + 34 = 0, -5*m + 28 = 5*v - 22 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 913780 and 610?\nAnswer: 610","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) be the first derivative of a**7\/840 - a**6\/120 + a**5\/60 - 41*a**3\/3 - a + 58. Let v(w) be the third derivative of u(w). Determine o so that v(o) = 0.\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -13*f*m**3*n - 12*f*m*n**3 + 23*m**3*n + 21*n**3 with respect to f.\nAnswer: -13*m**3*n - 12*m*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2 - 69*a**2 - 7 + a - 5.\nAnswer: -69*a**2 + a - 10","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(143) - (2*sqrt(143) - sqrt(143)))*1 - sqrt(143))\/(-2*sqrt(11)*2).\nAnswer: sqrt(13)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = -q**2 + 3*q - 3. Let p be d(4). Let k(i) be the second derivative of -i**5\/20 - i**4\/2 - 7*i**3\/6 - 2*i**2 - i + 144. List the prime factors of k(p).\nAnswer: 2, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -400 + -11?\nAnswer: -411","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 5395766 and -845042?\nAnswer: 6240808","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = 482*p - 27913. What is x(58)?\nAnswer: 43","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 250\/750 + (58\/6 - -1). Solve 3*f = z - 14 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 712\/1102827 at least as big as 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-4)\/(-3)*(-1)\/(-2). Let l be (-40)\/(-35) + -2*1. Suppose -33*q = -27*q - 6. Which is the third smallest value? (a) l (b) m (c) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = -8036*h**2 - 3*h. Let i(g) = 8033*g**2 + 2*g. Calculate -3*i(f) - 2*u(f).\nAnswer: -8027*f**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2*f*r**3*w + 25*f*r*w**2 + 17*f*r*w + f + 9*r**3*w**2 - 46*r**2 + 6*r*w**2 wrt w.\nAnswer: 50*f*r + 18*r**3 + 12*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) be the second derivative of -3*q**5\/16 - 25*q**4\/12 + 155*q**3\/24 - 5*q**2 + 229*q. Factor y(v).\nAnswer: -5*(v - 1)*(v + 8)*(3*v - 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*q + 9*q. Suppose -3*f + 3*t + 45 = q, 2*f - 2*t = -3*f + 66. Suppose i - 6 = f. List the prime factors of i.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -91\/8280 and -137\/1104.\nAnswer: 16560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 59452583 is divided by 179615?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fyp when three letters picked without replacement from {p: 2, y: 6, f: 1, n: 2}?\nAnswer: 2\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = -c**3 + 13*c**2 - 10*c - 13. Let t be b(9). Let o = t - 218. Solve -7 = -o*z - 4 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00026972 rounded to 4 dps?\nAnswer: 0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 666870 and 600183.\nAnswer: 6001830","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -44 + (10\/25 - 26\/(-10)). Let u = 46 + p. Calculate the remainder when 14 is divided by u.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 - (-6 - -4 - -6)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 355 - 373. Sort 5, 0.4, i, 3 in decreasing order.\nAnswer: 5, 3, 0.4, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 196540 a multiple of 20?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 29355345?\nAnswer: 3, 5, 17, 12791","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p - 5*i = 38, -8 - 12 = -4*p - 4*i. Solve -m = -3*l + 3, 5*m - 3*l - p = -0*l for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from fkkbk. What is prob of sequence bf?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 less than 1550\/971?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) be the first derivative of 3*f**2\/2 + 3*f - 82. Suppose 0*s - 3 = s. What is k(s)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-2)\/(-10) + (-78)\/(-10). Solve x = -u - u, -4*u = 5*i - 4 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 17450 and 50.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 91171?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: c5b4 (base 13) to base 7\nAnswer: 142520","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30*s**3 - 99*s**2 - 87*s - 18 = 0. Calculate s.\nAnswer: -2, -1, -3\/10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 44\/14745 and 67\/65.\nAnswer: 191685","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 119, 536, 1217, 2150, 3323, 4724?\nAnswer: 6341","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8955901 is divided by 2453.\nAnswer: 2451","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Divide -180076 by 6926.\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -21669*x + 21674*x - 2*l = 34, -4*x = -2*l - 30 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = 107*d**2 - d - 1. Let z be k(-1). Suppose z = o - 104. Is o composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = -t + 6. Let j(g) = g + 1. Let l be j(5). Let w be z(l). Suppose -565 = -3*k - w*q + q, -362 = -2*k - 3*q. Is k composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 7 + (-1 - (-4)\/22)\/(17\/153)\nAnswer: -4\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 496 times -5\nAnswer: -2480","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor a**2\/3 + 58*a\/3 - 176.\nAnswer: (a - 8)*(a + 66)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 105*y - 5 = 110*y. Let r = 20 - 8. Let i be 1 - ((-4)\/y)\/r. Is 18 bigger than i?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-2)\/(-18) - (-1926)\/162. Sort v, 4, 18, -3.\nAnswer: -3, 4, v, 18","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 3\/20, -5\/2, -2 in ascending order.\nAnswer: -5\/2, -2, 3\/20","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 481*p = 5*c + 431*p - 2235, -3*p = 2*c + 141 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 508284 to the power of 1\/2, to the nearest integer?\nAnswer: 713","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 35 - 2\/3*-6?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = i**3 + i**2. Let b(l) = 17*l**2 + 4*l + 43*l**3 + 2 - 31*l**3 - 2. Let o(k) = 4*b(k) - 36*m(k). Factor o(g).\nAnswer: 4*g*(g + 2)*(3*g + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*t**3 - 77456*t**2 + 154473*t**2 - 77017*t**2.\nAnswer: 2*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-11697 - 1568 + 163)*(-3*p + 2*p + 2*p + (p + 1 - 1)*(1 - 2 + 3) + 0*p - p + 0*p) to g + l*p and give l.\nAnswer: -26204","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j\/(j\/(j**(-7)\/j)))\/(j\/j**(-2)) assuming j is positive.\nAnswer: j**(-11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(4 + 5 + (sqrt(216)\/sqrt(6))\/(sqrt(18)\/(sqrt(54)\/sqrt(9))))**2.\nAnswer: -186 - 72*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 = -6*u + 3*u. Let p(i) = -u*i**2 - 1 + 3*i**2 + 7 + 5*i**2 - 7*i. Is p(5) a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 163712.2 micrograms to kilograms.\nAnswer: 0.0001637122","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4)\/7 - (88\/28)\/(-2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 123 minutes before 4:35 AM?\nAnswer: 2:32 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-8 - -6)*2\/4. Suppose -4*p - 5 = 3. Sort p, g, 9.\nAnswer: p, g, 9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5\/(-38)*64\/(-8)*5\/50.\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = -36*y - 60. Let i be r(-9). Let x = i - 201. What is the remainder when x is divided by 22?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -32 + 49. Let h(o) = -o**3 + 16*o**2 + 17*o. Let t be h(s). Solve 3*w = -4*u + 12, t*u - 4*w + 16 = 3*u for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 32*m + 1 = 33*m. Let l = -8 + 11. What is the nearest to m in -2\/13, -2, l?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -866 - -870. Put f, -1, -10, -4 in increasing order.\nAnswer: -10, -4, -1, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -3*j**3*l**4 - 13*j**3 + 588974*j*l - 17823*j with respect to l.\nAnswer: -12*j**3*l**3 + 588974*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express -g**2 + 48*g**3 - 43*g**3 + g**2 + 9 + 25 in the form h + q*g + x*g**2 + r*g**3 and give r.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 11 minutes after 8:06 PM?\nAnswer: 8:17 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = p**3 - 8*p**2 + 4*p - 7. Suppose 5*i - 8 = -3. Let f be i + 10 + -1 + -2. Is j(f) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:49 AM and 12:41 PM?\nAnswer: 592","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a + 10 = 2*s + s, 12 = 2*s + 4*a. Suppose s*j + 4*y = 0, -4*j + j - 4*y = 1. Which is bigger: 4\/181 or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*j**3\/7 + 188*j**2 - 102076*j\/7 - 1028196\/7 = 0 for j.\nAnswer: -9, 169","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = 2*a. Let j(q) be the third derivative of -q**8\/480 - q**6\/720 + 23*q**5\/60 + 32*q**2. Let y(h) be the third derivative of j(h). What is u(y(p))?\nAnswer: -84*p**2 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = -10*n**3 + 3*n**2 + 5*n + 7. Let p(y) = -9*y**3 + 2*y**2 + 4*y + 6. Determine -3*f(t) + 4*p(t).\nAnswer: -6*t**3 - t**2 + t + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ia when two letters picked without replacement from {b: 3, a: 7, i: 1, c: 1, x: 2}.\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1.9 in -2, -4\/9, 466.9?\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i - 4*r - 3919 = 0, -22691 = 4*i + 2*r - 7071. Which is greater: -3904 or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -182 = -4*i - 158 for i.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (0 - -1)\/((-1)\/(-6)). Suppose -v*l - 60 = -10*l. What is the units digit of l?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 165667 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 105\/(-70) + ((-31)\/(-2) - (-1 - -3)).\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1.2 + 5.8. Let o = -6.6 + g. Let h be -1 + (9\/(-7))\/(-1). What is the second smallest value in o, -3, h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 438*h + 24863 = -59*h - 32*h for h.\nAnswer: -47","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d*d*(d**(-3)*d*d)\/d*d)**(-3)\/(d**(-15)*d*d\/d**11))**(-43) assuming d is positive.\nAnswer: d**(-903)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange x**3 - 3*x**3 + 3*x**3 + (2*x - 3*x + 4*x)*(-x**2 - x**2 + 6*x**2) + 0*x**3 + 8*x**3 - 2*x**3 to i*x**3 + p*x + u + d*x**2 and give d.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*z + 6140*z**3 + 6134*z**3 - 2*z - 12273*z**3.\nAnswer: z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = v**3 - 6*v**2 - 6. Let u be a(7). Let k = u + -30. List the prime factors of k.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 56 and 35.\nAnswer: 280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + 6*(0 + sqrt(931)) - 5*(0 + sqrt(931) + 1).\nAnswer: -3 + 7*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = i**2. Let w(f) = f**2 - f + 8. Give -4*b(y) + w(y).\nAnswer: -3*y**2 - y + 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 3003 + -1457. Suppose 2*v - 2*o = p, 5*v + o = -4*o + 3905. What are the prime factors of v?\nAnswer: 3, 7, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 133*p - 3529*p + 1423*p in the form a*p + s and give a.\nAnswer: -1973","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is (4 - ((-566)\/(-132) + (-57)\/(-1254)))*195?\nAnswer: -65","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = 658*n**2 - 5*n + 153. Let y(q) = -660*q**2 + 6*q - 155. Let v(g) = -7*o(g) - 6*y(g). What is the second derivative of v(m) wrt m?\nAnswer: -1292","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w - 60 = -w. Let v be ((-4)\/5)\/(8\/w). Suppose 3*p = p + v. Solve -p*j + 11 + 4 = 0 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 73*o - 649*o - 29722 = 775*o for o.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = 4*c + 3*y - 13, -5*c = y - 28. Let l(h) = h**3 - 8*h**2 + 17. Let i be l(7). Let j = 44 + i. What is the highest common divisor of j and c?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o - 2 = 2. Let r be (3 - 95\/15)*6\/o. Let y = r + 12. What are the prime factors of y?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-559)\/117 + 7)*(-7)\/(224\/(-12))?\nAnswer: 5\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -101 by -23.\nAnswer: 101\/23","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 47187 and 333984?\nAnswer: 147","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 84722.32 millimeters in micrometers?\nAnswer: 84722320","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in 5, -1\/5, 0.3, 19?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:19 AM and 12:00 PM?\nAnswer: 101","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 4e (base 16) in base 13?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (3482 - 3483)\/(((-2)\/437)\/(33 - -1)) is divided by 18?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -67 (base 9) in base 6?\nAnswer: -141","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from lxxxllnxxxvvvuvxxx. Give prob of picking 1 n, 2 l, and 1 v.\nAnswer: 1\/255","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -2 - -19 - (935 + -958)\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.3 minus 5126826513.15?\nAnswer: -5126826512.85","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 3\/8 of a day?\nAnswer: 9","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wh when two letters picked without replacement from wbhhwwwhbh?\nAnswer: 8\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1799?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -2*(-9 + 9 + 10\/(-4)). Suppose -14*d - 3*d + 34 = 0. Solve d*c = -2*n - 1 - 1, -2*c = a*n + 8 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 12789 divided by 9.\nAnswer: 1421","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 t and 1 o when two letters picked without replacement from tthuhohxtu.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {y: 4, d: 16}. Give prob of sequence dddy.\nAnswer: 112\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5 + 1 - 39 + 591*c**2 + 42 to y + t*c**2 + q*c and give t.\nAnswer: 591","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 plus 188605?\nAnswer: 188600","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12*o - 841 + 841.\nAnswer: 12*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0234893 rounded to 4 dps?\nAnswer: 0.0235","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n = 2*u + 41, -5*u = -n + 3 - 45. Let s(f) = 2*f**2 + 34*f + 12. What is the lowest common multiple of s(n) and 40?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 11534 and 9085.\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -51 (b) -0.2 (c) -2 (d) -3\/5 (e) -40 (f) 14\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = 0*t + 8 + 4*t - 5*t + 2*t. Calculate the remainder when 35 is divided by m(4).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*r - 2*k - 148 = 0, -11094 + 11278 = 4*r + 4*k for r.\nAnswer: 48","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify u*u**(-4)*u\/(u*u**(-11))*u assuming u is positive.\nAnswer: u**9","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 6056?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -82394.18 rounded to the nearest ten?\nAnswer: -82390","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2634595137?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*b - 3 = -r + 4, -4*b + 5*r + 22 = 0 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + -5*(-3*sqrt(54)\/sqrt(6) - sqrt(9))\/((-3*sqrt(6))\/sqrt(2)))**2.\nAnswer: -80*sqrt(3)\/3 + 412\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = 9*y - 3. Let h(a) = -3*a**2 - 24*a + 2. Determine r(h(c)).\nAnswer: -27*c**2 - 216*c + 15","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 6 and 195.\nAnswer: 390","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 8559, 8550, 8535, 8514?\n\"Answer: -3*j**2 + 8562","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 1763?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0.2, 0.042, -0.3, 0.3, -3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -v**2 - 6181*v - 294384.\nAnswer: -(v + 48)*(v + 6133)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -23 - -17. Let l be 565\/(-30) + 1\/d. Let y = 14 - l. What is the units digit of y?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of q**3 + 1746*q**2 - 310*q - 83778830 wrt q.\nAnswer: 3*q**2 + 3492*q - 310","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 54 is divided by 22?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = -68*o**3. Let u(s) = s**3. Determine h(k) + 85*u(k).\nAnswer: 17*k**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(189))\/sqrt(3).\nAnswer: 3*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m - 92 = 6*g - 2*g, -g - 5 = 0. Suppose z + z - 2*j = m, -4*z - 3*j = -1. Calculate the highest common divisor of z and 10.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ge when two letters picked without replacement from {e: 1, z: 1, g: 1}.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) be the first derivative of 3 + 0*z**4 + 0*z + 4\/5*z**5 + 0*z**3 - 11*z**2. What is the second derivative of x(q) wrt q?\nAnswer: 48*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 98 minutes after 6:49 AM?\nAnswer: 8:27 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:31 PM and 5:53 PM?\nAnswer: 82","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Divide 3 by 85198.\nAnswer: 3\/85198","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -41549 and -0.4?\nAnswer: 16619.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 19*c + 0 + 9 - 1.\nAnswer: 19*c + 8","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -59 + 36. Let r = v + 94. Is r a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 1147166, 1147163, 1147160?\n\"Answer: -3*g + 1147169","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -12165.9 take away -10175.3?\nAnswer: -1990.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(-1\/4)\/w)**(-13\/7)\/((w*w*w*w**(-7))\/((w*w*w*(w**(2\/9)*w)\/w*w*w)\/w)) assuming w is positive.\nAnswer: w**(2657\/252)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = 5*q**3 - 4*q**2 - 4*q + 4. Let h(o) = -o**3 + o**2 - o + 1. Let v(p) = -4*h(p) + k(p). What is the third derivative of v(x) wrt x?\nAnswer: 54","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + sqrt(30)\/(sqrt(60)\/(sqrt(6)*-2) + sqrt(10)).\nAnswer: -5 + 2*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 5\/(-15)*(-835 - -19). What is the greatest common factor of 119 and h?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-3)\/15*6)\/((-10)\/25). Suppose f*d - 7*d - 48 = 0. Is -6*(-5 + d\/(-9)) a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -100000111000 + -110101011?\nAnswer: -100111100011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -1 (b) -2\/1065 (c) 2\/47 (d) -1\/4 (e) 65\/8\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2288*y = 2292*y - 48188. Is y prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 5 and -94?\nAnswer: -470","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v*v**(-7)*v*(v**11*v)\/v)**(-29)*(v\/(v*v**1))**(-46)\/((v\/v**6)\/v**(-3)) assuming v is positive.\nAnswer: v**(-126)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.4*-124248676.\nAnswer: 49699470.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b - 1 + 7 = -4*k, 2*b - 7 = k. Let f(s) = -5*s - b*s**2 + 5*s. Let j(m) = 23*m + 35 - 19 - 16 - 27*m. What is j(f(x))?\nAnswer: 8*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = 31200*a + 155985. Give z(-5).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = -p**2 + 9*p + 3. Let j be h(8). Let f = 24 - j. Solve 5*n - 28 = -f for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) be the second derivative of v**6\/80 - v**5\/12 + v**4\/12 + 2*v**3\/3 + v**2 - v. Let g(h) be the first derivative of o(h). Solve g(f) = 0 for f.\nAnswer: -2\/3, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 240*j + 980*j - 91500 for j.\nAnswer: 75","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 18\/48*16 + 147\/1. Let n be (10 + -22)*(-17)\/2. Calculate the greatest common divisor of n and y.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (8455 - 8455 + 1727*q)*(-6*q + 2*q + 2*q + (5*q + 0*q - 3*q)*(1 + 1 - 3)).\nAnswer: -6908*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 92779 divided by -45.\nAnswer: -92779\/45","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = 16*a**2 + 1581*a + 37907. Determine o(-58).\nAnswer: 33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 66613960.\nAnswer: 2, 5, 7, 73, 3259","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -1314731 (base 8) to base 3\nAnswer: -200122112000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 9\/16 of a day?\nAnswer: 810","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 75920777 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0225961 to 3 dps.\nAnswer: 0.023","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 479971 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = d - 3. Let s be h(6). Let r(t) = s + 0 - t**2 + 5*t**2 - 4. Let g be r(-2). What is the greatest common divisor of g and 120?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) be the first derivative of n**3\/3 - n + 3. Calculate the remainder when q(3) is divided by 5.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -10011110111 (base 2) to base 12.\nAnswer: -89b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g\/g**(-4\/5)*g\/g**(-4)*g**(-3\/4)*g**(2\/5))**(-1\/3) assuming g is positive.\nAnswer: g**(-43\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -38 - -74. Suppose b = 5*u + 1. What are the prime factors of u?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16 = 8*b - 8. Suppose t = 5, -5*x + 2*x + 31 = 5*t. Suppose x*v = b*v - 5. List the prime factors of v.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -95 divided by -1.\nAnswer: 95","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 822024264?\nAnswer: 2, 3, 37, 127, 197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*w + 5*x = -3*w - 5, -13 = -3*w + 2*x for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = -5 - 3*l + 2*l + 3*l. Suppose -2*u - 3*u - 4 = -3*f, -u - 2 = -f. Let h be -3 - (4 + f + -5). What is z(h)?\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 6, -1, -0.08, -0.01?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1557222.\nAnswer: 2, 3, 259537","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v - 316 = -v. Let i = -635\/4 + v. Let k = i - 7\/12. Is k less than 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (1 + -2)\/((-5)\/50). Is 14 a factor of y\/(2\/(-42)*-1)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*s - 49 = -67 for s.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 228412?\nAnswer: 2, 17, 3359","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -4 (b) -5937 (c) -1 (d) -3 (e) 28\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {h: 9, x: 4, t: 2, f: 3}. What is prob of sequence fttf?\nAnswer: 1\/6120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -9 - (-9 - -8) - -7?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*h**3\/21 - 8*h\/21.\nAnswer: 2*h*(h - 2)*(h + 2)\/21","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 293*p + 1256 = -2553 for p.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Total of 36 and 154016831.\nAnswer: 154016867","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 3 + 1. Suppose -s*p = -2*g + 44, 2*p = 2*g - 5*g + 34. Let r be g\/(-7) - (0 - -1). Which is smaller: r or -2?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 101 + -100. Which is the smallest value? (a) -4 (b) -2 (c) -1\/3 (d) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -9*18\/729 - 65\/(-9)\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = 59337*t + 177927. Give x(-3).\nAnswer: -84","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.368 + -177.632. Let i = w + 177.999586. What is i rounded to five dps?\nAnswer: -0.00041","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ssooss. Give prob of sequence ss.\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 416 minutes before 12:13 AM?\nAnswer: 5:17 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) be the second derivative of -7*b**3\/6 + 109*b**2 + 29*b + 32. What is u(32)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-832)\/12 + 71)*(-12)\/(-70).\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -3 - -4. Suppose 3*l - 6 = 21. Let h(r) = r**3 - 8*r**2 - 10*r + 10. Let d be h(l). Do k and d have different values?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:39 PM and 9:25 AM?\nAnswer: 586","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-2 + 2)\/((-1)\/(-1)). Let q = 65 - 44. Let x = k + q. Is 11 a factor of x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17*p - 6*p + 81 = 5*g, 2*p + 18 = 2*g for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 - (15\/35 - 208\/28)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = 9*k**2 + 4*k - 12. Give c(2).\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1331756?\nAnswer: 2, 223, 1493","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -127445*v**3 + 120831*v**3 + 6618*v**3.\nAnswer: 4*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -911.83 + 912. Does q = 25?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 26918 - 13454 - 19*k**3 - 13464.\nAnswer: -19*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert 252152 (base 6) to base 15.\nAnswer: 6a22","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 17\/8 - 101\/40. Let p = -0.23 - -0.03. Let y = p - -0.3. Which is the nearest to 0.2? (a) o (b) -1\/4 (c) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -5\/6 (b) -16180 (c) -2\/9 (d) 5 (e) -4 (f) 3\/5\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 786 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = -4*s - 42. Is 10 a factor of p(-23)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = 63*b - 17*b - 16*b - 15*b - 13*b. Let x(m) = -164*m. Give i(x(z)).\nAnswer: -328*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from lfiilfiiiiiziiflfff. What is prob of sequence fzi?\nAnswer: 3\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = 3*z**2 + 2*z + 1. Let c(n) = -2*n**2 - 2*n. Let v(b) = -4*c(b) - 3*o(b). Let g(j) = j**3 - 13*j**2 + 28*j + 25. Let r be g(10). Calculate v(r).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(95) - ((1*sqrt(95) + sqrt(95))*3 + sqrt(95)))*-3*-4)\/((-1*sqrt(225) - sqrt(25))\/(sqrt(15)\/sqrt(3)*-2)).\nAnswer: -36*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) be the first derivative of -11\/3*r**3 - 1\/4*r**4 - 26*r - 4*r**2 - 10. What is the remainder when x(-11) is divided by 21?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -33*p + 38*p - 2*j = -2, 0 = j - 1 for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 1805519 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.36 and 0.24?\nAnswer: -0.0864","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -2b (base 15) in base 14?\nAnswer: -2d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-160)\/(-2580)*(-21)\/(-1064)*57?\nAnswer: 3\/43","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = -i**2 - 5*i - 8. Let z be ((-19)\/57)\/((-2)\/90). Let r be 8*-6*(2 - z\/8). Determine t(r).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 341104, 682208, 1023312, 1364416, 1705520, 2046624?\nAnswer: 2387728","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -76*g - 27*g + 112*g - 10*g.\nAnswer: -g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Are -46280 and 18 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Divide 10559820 by -4.\nAnswer: -2639955","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n - 9 - 156 = 0. What is the remainder when 2\/5 + 196\/10 is divided by (-1 - -2)\/((-3)\/n)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 + 0 + 0)*(2*a + 3*a - 2*a).\nAnswer: 15*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2932 by 448.\nAnswer: 733\/112","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Product of 919 and -49.3.\nAnswer: -45306.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*c = 7*c - 4496. Suppose 4*u - c = 279. Calculate the common denominator of (u\/(-28))\/((-72)\/(-22) - 2) and 53\/4.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 42 and 4146?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = -164*n - 120. List the prime factors of c(-24).\nAnswer: 2, 3, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = 46*g + 261. Give l(-5).\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-15)\/(-2)*96\/10. What is the greatest common divisor of 18 and j?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = -8949*a - 18085. Give i(-2).\nAnswer: -187","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 2232 + -4087?\nAnswer: -1855","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) be the second derivative of -v**4\/12 - 7*v**3\/24 + v**2\/4 + 12*v. Factor n(m).\nAnswer: -(m + 2)*(4*m - 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 343124?\nAnswer: 2, 85781","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 5 - 3. Solve d - 17 = 5*b for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r - 3504 = -2*q, 0 = -4*q - 2*r + 4714 + 2222. Is q a multiple of 47?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 18 and 85.\nAnswer: 1530","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 30317548, 60635093, 90952638?\n\"Answer: 30317545*w + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -15 and 527136.\nAnswer: -7907040","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1629193?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1582 to the nearest integer?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = -f**2. Let h(z) = 3*z**2 - 542. What is y(h(c))?\nAnswer: -9*c**4 + 3252*c**2 - 293764","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 56437 to the nearest integer?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -8*b**2*t**3*y**2 + 3928*b**2 + 7*t**3*y + 2403*t**2*y**2 - 2*t with respect to b.\nAnswer: -16*b*t**3*y**2 + 7856*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4*(4 - 2))\/2.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*z - z + 26 = 5*x, 2*z + 764*x - 761*x = 8 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -6437 - -6441. Let k(a) be the second derivative of -a**3 + 17\/20*a**5 - 19*a + 0*a**o + 0*a**2 + 0. Find the second derivative of k(y) wrt y.\nAnswer: 102*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*(sqrt(13) + 0) + (sqrt(13) - sqrt(26)\/sqrt(2)*4))**2.\nAnswer: 208","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = r**2 - r - 6. Let l be j(-2). Suppose 2*c - 21 = -c - 2*y, l = 3*c + 4*y - 27. Is 4 at least as big as c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 4.790722 micrograms?\nAnswer: 4790.722","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Add 1508 and -470193428.\nAnswer: -470191920","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q + 3010 = -3290. Round q to the nearest one thousand.\nAnswer: 6000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 546536317.\nAnswer: 546536317","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {y: 2, w: 1, a: 1}. Give prob of sequence awy.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = j - j + 113 - 320 + 90 + 2*j**2 + 111. Let o(q) = -q**2 + q**2 - 2*q**2. Calculate o(a(f)).\nAnswer: -8*f**4 + 48*f**2 - 72","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 336*b**3 + 313*b**2 + 914366*b.\nAnswer: 2016*b + 626","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/81, 2.9, 50, 2\/3 in decreasing order.\nAnswer: 50, 2.9, 2\/3, -2\/81","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -b**2*v**2 + 8*b**2*v - 5*b**2 + 10*b*v - 45255043*v**3 + 206 wrt v.\nAnswer: -2*b**2 - 271530258*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 28134799 to the power of 1\/7, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 33535 is divided by 8370?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = -2*b. Let z(i) be the third derivative of -5*i**4\/4 - 36*i**2. Determine z(l(t)).\nAnswer: 60*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (l - 2*l - l**2 + 4*l + (4*l - 4*l + l**2)*(1 + 3 + 0))*((3*l - 5*l - l)*(-2*l + 2 - 2) - 2*l**2 + 4*l**2 + 0*l**2) - l**4 - 2*l**4 + 6*l**4.\nAnswer: 27*l**4 + 24*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (60\/105)\/(2\/(-14)).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -493330 + 3d?\nAnswer: -4932f3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in -119, -66\/5, 4, 5?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 0 + 1 - (-14)\/(-7 + 0)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in seven eighths of a litre?\nAnswer: 875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -773.505 - -773. Let m = 0.575 + h. Which is the smallest value? (a) -0.1 (b) 2 (c) m (d) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 43654*x**3 + 2 + 3*x**2 + 43657*x**3 - 12*x - 87315*x**3 as s*x**3 + p + t*x + o*x**2 and give t.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -1 - (2\/6 + 50\/(-33))\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = 3*d - 9. Let z be p(7). Suppose -2*a = a - z. Is a a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -15 - -18. What is the units digit of s?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1414 and 1284619?\nAnswer: 707","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t**4 - 1664*t**3 + 174712*t**2 - 344448*t + 171396 = 0. Calculate t.\nAnswer: 1, 207","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = 163*n. Suppose d + 1793 = 2*d. Let r(k) = -48737*k. Let x(o) = d*l(o) + 6*r(o). Is x(-1) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-24)\/(-1))\/6)\/(2\/1).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 5 and 13?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = -3*z - 3*w, 6 = z - 5*w - 1. Suppose -1366 + 850 = -4*k + k. Let y = z + k. List the prime factors of y.\nAnswer: 2, 3, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = -d + 29. Let a be w(0). Let o = a + -26. Suppose q + 4*q = o*n + 315, -4*n + 284 = 4*q. List the prime factors of q.\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = -n + n - 2*n**2. Suppose -34*z = -20*z + 42. Let m(u) = -14*u + 6. Let v(o) = 266*o - 112. Let k(d) = z*v(d) - 56*m(d). Calculate j(k(i)).\nAnswer: -392*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = 161*f - 122. Let p(c) = 290*c + 196*c - 867 + 501. Let r(a) = 14*b(a) - 5*p(a). What is the derivative of r(t) wrt t?\nAnswer: -176","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find t, given that -8*t**4\/5 - 210*t**3 - 262*t**2\/5 = 0.\nAnswer: -131, -1\/4, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 19800413.\nAnswer: 19, 31, 33617","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_test"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in x**2 + 1611428*x - 1611428*x.\nAnswer: x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(sqrt(17) + (-2*sqrt(1700))**2).\nAnswer: 5*sqrt(17) + 34000","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p + 19 = u, -3*p - 306*u + 57 = -309*u. What is the remainder when p is divided by 4\/6 + 80\/6?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 292, 290, 288?\n\"Answer: -2*s + 294","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -44729788 divided by -2.\nAnswer: 22364894","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 66*x - 71 - 304*x + 117*x + 5901*x**5 + 71*x wrt x.\nAnswer: 118020*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -23*p - 10 - 47*p + 87*p + 151*p + 12 to s*p + r and give r.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 1965703 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -293, -285, -273, -257, -237, -213?\nAnswer: -185","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -5, -4, -0.3, 0.22, -4\/7?\nAnswer: 0.22","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m + 4 = -d, -2*d = -0*d - 2*m + 8. Let w be 4 - 5 - 2*d. Let s be (-4)\/(-3)*((-42)\/44)\/w. Which is bigger: -3 or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-195)\/234*4\/20.\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -124\/7 or -19?\nAnswer: -19","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2333?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 146832 to the nearest integer?\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 184726, 184681, 184638, 184597, 184558?\nAnswer: 184521","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -31311330 (base 4) to base 11\nAnswer: -39666","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 28*c + 175 = -7*c for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1 = 2*m - y, -2*y = -m - 60 + 71 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -18 + (-14 - -22) + 2 + -9?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -7 + 12. Suppose 2*b - a = -1. What is the second derivative of -b*z**3 - z + 3*z + 0*z wrt z?\nAnswer: -12*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 2231054?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -114, -382, -838, -1488, -2338, -3394?\nAnswer: -4662","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 6725 + -6722.6. Let h = 3.97 - -0.03. What is the nearest to r in -2, h, -2\/15?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 44075 and 44075 unequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 19\/30646 and 80\/99?\nAnswer: 275814","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zzz. What is prob of sequence zz?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.514613*134.1.\nAnswer: 69.0096033","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 5770, 5792, 5830, 5884, 5954, 6040, 6142?\n\"Answer: 8*j**2 - 2*j + 5764","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -63613 + 94384. What is the ten thousands digit of x?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18*w - 502 = 93 + 269 for w.\nAnswer: 48","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -5 - (4 + -34*(-5)\/(-10))\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2.54818 millennia to centuries.\nAnswer: 25.4818","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -149\/30 and -65\/204.\nAnswer: 1020","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 191, 707, 1551, 2723?\nAnswer: 4223","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4261160 is divided by 48.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -341*r**3 + 2*r + 161 wrt r.\nAnswer: -2046*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 366\/8 + 3\/(-4). Calculate the highest common factor of h and 18.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 498333, 1993328, 4484987, 7973310, 12458297, 17939948?\n\"Answer: 498332*m**2 - m + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = -62938 + 3*y**2 + 62938. Let f(w) be the first derivative of -1\/3*w**3 + 0*w + 1 + 0*w**2. Give f(b(n)).\nAnswer: -9*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from jtajrjrtlrn. What is prob of picking 1 j, 1 l, and 1 t?\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = -5*x - 2. Let w = -954 + 947. Let z(d) = 4*d + 3. Calculate w*z(p) - 6*g(p).\nAnswer: 2*p - 9","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 8\/(-28) - (-16)\/7. Let q(z) = 0*z - 5*z**m + z + 0*z + 0*z. What is q(1)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (3 - (-50)\/(-14))*(-49)\/14. Suppose 0 = -0*h + 5*h - 15. Suppose h = -c*u + 31. Does u = 14?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 81054539 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 102*r - 105*r + 9. What is the second derivative of 0*g**2 + 19*g**2 + 22*g**4 + 3 - 3*g**r - 19*g**2 - 6*g wrt g?\nAnswer: 264*g**2 - 18*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 157039?\nAnswer: 53, 2963","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does 820 divide 30082333?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.510696 decades in months?\nAnswer: 61.28352","meta":{"dup_signals":{},"source":"measurement__conversion_test"},"subset":"dm_maths"} +{"text":"Question: Is 3015759 a multiple of 37?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(204) + 6*sqrt(204)*2)\/(sqrt(108)*3) + (sqrt(119) - (sqrt(119)*-1 + sqrt(119))*4)\/((sqrt(28)*-1)\/sqrt(4)))*-5.\nAnswer: -20*sqrt(17)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ekh. What is prob of picking 1 h and 1 e?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 717528 and 3?\nAnswer: 717528","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is (-90)\/63*140\/(-25)?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*c**2 - 13810260*c + 13810262.\nAnswer: -2*(c - 1)*(c + 6905131)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: ((-7)\/(210\/18))\/((-6)\/(-4))\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y + 4*y = -k + 7, -3*k + y = -11. Calculate the least common multiple of 8 and 4\/(-6 + 2) + k.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 69*b**4 - 665*b**2.\nAnswer: 1656*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 231 a factor of 122804377?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand 109*d - 109*d - 200*d**2 - 5*d**2 + (-3*d + 3*d - d)*(-d + d - d).\nAnswer: -204*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 1039 a multiple of 39?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (7 + -5 - 3) + -3.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 1529076 divided by -6\nAnswer: -254846","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*n**2 + 64*n - 1536.\nAnswer: 2*(n - 16)*(n + 48)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 174\/(-10) - 3132\/(-1305)\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -4 and 3.71.\nAnswer: -14.84","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = o + 6. Let q(s) = 3*s - 10. Let u(r) = -r + 5. Let z(k) = -2*q(k) - 5*u(k). Determine -4*d(b) - 5*z(b).\nAnswer: b + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -2.22 and 0.2?\nAnswer: 2.42","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 39\/2 and -9*(-1)\/(-60)*74?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jfvu when four letters picked without replacement from {i: 7, v: 1, f: 3, j: 2, w: 2, u: 5}?\nAnswer: 1\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = l + 2. Let d(y) = 6*y + 28. Let j(u) = -d(u) - 3*k(u). List the prime factors of j(-8).\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = -2*f**3 - 1. Let s(o) = o**3 - 2*o**2 - o + 3. What is the least common multiple of s(3) and g(-1)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*f**3\/4 + 101*f**2\/12 + 11*f\/6.\nAnswer: f*(f + 11)*(9*f + 2)\/12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i\/(i\/((i*i\/(i**(1\/18)\/i)*i)\/i)))**33*(i**(3\/7))**9 assuming i is positive.\nAnswer: i**(4243\/42)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 798, 1586, 2374, 3162, 3950?\nAnswer: 4738","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 107 - 79. Let a = 4337 + -4364.984. Let j = a + n. What is j rounded to 2 dps?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 61785438227 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 6803 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1 + 3. Suppose -2*k = 5*h - 0*h + 13, -p*k - 7 = 3*h. Suppose 0 = 3*s - 4 + k. Is -2 greater than s?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 4, 30, 78, 154, 264, 414?\n\"Answer: o**3 + 5*o**2 + 4*o - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {x: 1, v: 1, e: 1, d: 1, j: 1}. What is prob of sequence jde?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.255 times 3291171?\nAnswer: 839248.605","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = 10*x - 19. Suppose 4 = -o + 2*o. Suppose 0 = -4*w + o + 28. Let s be p(w). What is s rounded to the nearest ten?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = 219*p + 2348. Let b be i(13). What is b rounded to the nearest 1000?\nAnswer: 5000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -2600, -5196, -7790, -10382?\n\"Answer: z**2 - 2599*z - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 122*g**3 - 35*g**3 - 27*g**3 - 25*g**3 - 32*g**3.\nAnswer: 3*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 725 and 783?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (r**2 - 4*r**2 + 2*r**2)*(3*r + 4*r - 5*r) + 3*r**3 + 52*r - 19*r**3 - 53*r + 2*r**3 - r**3 + 0*r**3 + (-6*r + 2*r + 3*r)*(-r**2 + 3*r**2 + 0*r**2).\nAnswer: -19*r**3 - r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let 8*v**5\/17 - 3134*v**4\/17 - 870*v**3\/17 + 33836*v**2\/17 - 48656*v\/17 + 18816\/17 = 0. Calculate v.\nAnswer: -4, 3\/4, 1, 2, 392","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -3318\/209 + 192\/11. Let t = -248\/133 + p. Let l be 8\/(-6)*1*3. What is the closest to 0 in -1\/2, t, l?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 866?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 182263443 and 1887.\nAnswer: 1887","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2*11*(-5332)\/2728?\nAnswer: -43","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = h**3 + 7*h**2 - 12*h - 10. Let d be b(-8). Let l(r) = r**3 + 22*r**2 + 36*r - 83. Let n be l(-20). Put d, -5, n in increasing order.\nAnswer: -5, n, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -2.9548435 to 3 decimal places.\nAnswer: -2.955","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 5 - -2*(-3)\/(-2). Put 1\/6, -5, g in decreasing order.\nAnswer: g, 1\/6, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.22, -2, 2 in descending order.\nAnswer: 2, 0.22, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -930*y + 907*y - 23 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = -6*d**2 - 3*d - d**3 - 3*d - 7 + 6. Let p be v(-5). Solve -32 = -4*m + p*r, -3*r = -7 + 22 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (1 - 12) + -107 + 112?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -29*t - 15 = -32*t, 2*s = -4*t + 890. List the prime factors of s.\nAnswer: 3, 5, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 4422608869 to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -5261\/8645 + -12\/247. Is 0 >= v?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-1)\/(0 + -1)*-1. Let c be t\/(-2*3\/12). Find x such that 4 - 6*x - 2*x**2 + 5*x**c - x**2 = 0.\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1901968748?\nAnswer: 2, 103, 233, 19813","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 1 + 2*v**2)*(-735*v - 400*v + 28*v).\nAnswer: -2214*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = 11*z**2 + 42*z - 4. Let o be a(-4). Let i(m) be the third derivative of 1\/32*m**o + 0 - 3*m**2 + 0*m - 1\/12*m**3 - 1\/240*m**5. Factor i(f).\nAnswer: -(f - 2)*(f - 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1110.\nAnswer: 2, 3, 5, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) be the first derivative of o**3\/3 - 7*o**2\/2 + 4*o - 1. Let m be c(7). Suppose -t + m*t - 87 = 0. Calculate the remainder when t is divided by 10.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((n**14\/n*n)\/(n*n\/(n*n**13)))\/(n*n**34)**(29\/3))**(-31) assuming n is positive.\nAnswer: n**(29047\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -4\/3 + 1. What is the closest to 0 in d, -0.4, 1?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 304, 603, 900, 1195?\nAnswer: 1488","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = 2*o - 6. Let q be 2\/(-2)*1*-5. Suppose 3*w = -q*r + 21, 4*w - 6*r + 1 = -3*r. Let j(x) = 0 - 5 + w*x - 2. What is -6*j(t) + 7*y(t)?\nAnswer: 2*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = 5*o**2 - 2*o - 39. What is the remainder when x(6) is divided by 22?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 932, -1977, -4886, -7795?\nAnswer: -10704","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) be the first derivative of -141*j + 53\/4*j**4 + 0*j**3 + 66 + 0*j**2. Differentiate r(a) with respect to a.\nAnswer: 159*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = 2*o. Let i be g(1). Suppose -q - 3*q + 8700 = -i*c, 0 = 4*q + 3*c - 8720. Suppose -q = -14*t + 4697. Is t a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -11 + (-13 - (-11 - 20)).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -4\/3, 4\/1845, 2\/7?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -28\/5 - -94\/15. What is the nearest to -0.2 in 1\/2, n, 2?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 3 (b) -1\/2 (c) 0.01 (d) -1\/7 (e) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -5*(1 - 26 - (-3772)\/115)?\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 47 + -45. Let g(d) = -d**2 + 2*d + 1. What is g(r)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 51\/5957 and 26\/833.\nAnswer: 708883","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (4\/10)\/(1\/5). Suppose f - 17 = -j*g + 6*f, 20 = 3*g - 2*f. Is g a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.29 + 0.11. Let g = -742 + 743. What is the nearest to g in v, 4\/9, 5?\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:19 AM and 1:10 PM?\nAnswer: 591","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 1005 (base 6) to base 15\nAnswer: eb","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 59.094 + -0.094. Let i = n + -57. Let t = 0.07 - -0.23. Which is the closest to i? (a) -0.1 (b) t (c) 2\/15\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -397*-0.1\nAnswer: 39.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*n**2 - 4*n**2 + n**2)*(7*n - 16*n - 3*n) + 3*n**3 + 3*n**3 - 3*n**3.\nAnswer: 15*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 22.12 - 24. Let y = -1.14 - b. Round y to 1 dp.\nAnswer: 0.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 12488817 to the power of 1\/2, to the nearest integer?\nAnswer: 3534","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -27 - -27. Solve n*i + 1 = -i + 5*p, -13 = -4*i + 3*p for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 290998233 rounded to the nearest one hundred thousand?\nAnswer: 291000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 + 3 = 4*h + q, 4*q = -3*h - 10. Let g be 1*(3*h - 0). Let x = g + -2. Solve -2*a + c + 9 = -x*a, 2*c + 4 = 3*a for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2425*c - 3 - 5 + 1 + 0 + 1584*c + 6.\nAnswer: -841*c - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) be the second derivative of c**4\/72 - 13*c**3\/36 + 2*c + 66. Factor s(v).\nAnswer: v*(v - 13)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1382216 by -904.\nAnswer: -1529","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-177590)\/(-387) + 40\/36. Solve 3*r - 4 = 2*x, d*r - 4 = 2*x + 463*r for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1509 - 13601 - 2193 = -59*b - 62*b for b.\nAnswer: 143","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z + 23*l - 26*l = 25, -3*l = z + 13. Let i(p) = p**3 - 6*p**2 + p. Let n be i(6). Let q(d) = -d**2 - d**2 + 0*d**2 - n*d. Give q(z).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1630243 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 11, t: 3}. What is prob of picking 2 w?\nAnswer: 55\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -14892, 1, 2\/9, -5?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 7861.316 tonnes?\nAnswer: 7861316","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(1\/8)\/(q\/(q\/(q**(-5)\/q))*q*q))\/((q**(-2\/3)*q)\/(q*(q\/((q\/(q**(-8)*q))\/q))\/q)) assuming q is positive.\nAnswer: q**(-53\/24)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 0.5 (b) 3 (c) -0.1 (d) -113 (e) -4\/103 (f) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 6020182?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 912824 to the power of 1\/2, to the nearest integer?\nAnswer: 955","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = l**2 + 11*l - 3. What is v(-13)?\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when -31 + 34 - (-2 - -6232)\/(-2) is divided by 39?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 5673*i**3*o**2*x - 13*i**3*o**2 + 9*i**2*o**2*x - 2*i**2*o - 6*i**2*x + i*o**2 + 319*o**2*x + 2*o**2 wrt i.\nAnswer: 34038*o**2*x - 78*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/13 in 0, -71, -2\/5, -6608.9?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*v - 36 + 32 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -6669, -26635, -59909, -106491?\nAnswer: -166381","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) be the first derivative of o**4\/4 - o**3 + o**2 + 2*o - 6. Let i be b(2). Factor -v**3 - 4*v**2 - 2*v - i*v**3 - 3 - 5*v**2 - 7*v.\nAnswer: -3*(v + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b + 5*o + 11 = 0, -3*b - 2*b = 5*o + 15. Let m(h) = 132*h**2 - 1. Is m(b) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*w + 23 + 7 = 0. Suppose 497 = w*m - 148. What is the remainder when m is divided by 33?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-2)\/((-4)\/6) + 7 + -2. Suppose z*f + f + 45 = 0. Let a(o) = 2*o + 4. Calculate a(f).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x - 2*s - 18 = -4*x, -4*x - 2*s + 18 = 0. Suppose 0 = -5*q - 5*c + 4 + 131, -x*c = 2*q - 48. Let b = q + 7. Is b composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = -f**2 + 143*f. Let b(x) = -14*x. Determine b(v(m)).\nAnswer: 14*m**2 - 2002*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -0.3 times 31606.9\nAnswer: -9482.07","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = 17*f - 122. Determine h(6).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = -256*k - 1. Let l be s(-1). Suppose -l = -4*y - v, 3*y + 112 - 312 = v. Let x be 4*-1 - (-5 - 84\/7). Calculate the highest common factor of y and x.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 2514 + -483. What is the tens digit of b?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1015*w + 323*w + 322*w + 368*w.\nAnswer: -2*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*o**4 + 69*o**3 - 12948*o**2 + 25596*o.\nAnswer: 3*o*(o - 54)*(o - 2)*(o + 79)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 1, -5, -19 in ascending order.\nAnswer: -19, -5, -4, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -6087, -6088, -6089, -6090, -6091, -6092?\nAnswer: -6093","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 199 is divided by (69\/54 + 84\/378)*(-100)\/(-3).\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (0 + 0 + 1)*5. Suppose 4*n = j + 12, 4*j + w*n + 45 + 45 = 0. Let q = j + 44. Calculate the greatest common factor of 60 and q.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -70*q = 84*q - 23 + 177 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2604.\nAnswer: 2, 3, 7, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0.3 (b) 21\/5 (c) 1 (d) 4 (e) 126 (f) 2\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (5 + -2*280\/110)*-1. Which is the third smallest value? (a) -3 (b) -2\/3 (c) h (d) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.2? (a) -0.5 (b) 16 (c) -2\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is (227892\/3304 + -69)\/((-6)\/(-8))?\nAnswer: -2\/59","meta":{"dup_signals":{},"source":"arithmetic__mixed_test"},"subset":"dm_maths"} +{"text":"Question: Let d(a) be the second derivative of 17*a**5\/20 - a**4\/6 - a**3\/2 - a**2 - a. Let v be d(-2). Round v to the nearest one hundred.\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -241 - -218. Let v(n) = -n**3 - 23*n**2 - 9*n - 72. What is the units digit of v(p)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 99 + -54. Let z(o) = 122*o - o**3 - 1 - 40*o - 43*o - p*o - 5*o**2. Determine z(-4).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(-19\/6)*i*i)\/(i\/((i**(-2\/7)*i)\/i)) assuming i is positive.\nAnswer: i**(-103\/42)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 77.464 times 689\nAnswer: 53372.696","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = 556*u - 202. Is x(6) a multiple of 45?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 17155279 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 7*i**4 - 1696*i**3 - 89882*i.\nAnswer: 84*i**2 - 10176*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v = 2*m - 7*m, 5*m = 0. Suppose v = 22*o - 21*o - 12. Find the second derivative of 39*i**5 - 40*i**5 - o*i + i wrt i.\nAnswer: -20*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = -7. Let n(o) = -o - 1. Suppose -u - y + 7 = 0, u = 5*y + 1 - 6. Give u*n(l) - s(l).\nAnswer: -5*l + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Does 124 divide 8804?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 69*k + 423 = -336 for k.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = 3*p + 8 - 6 - p**2 + p**2 - p**3. Let w be o(-3). Suppose 2*b + 2*b - w = 0. Is 5 a factor of b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 690 minutes after 11:48 AM?\nAnswer: 11:18 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve m + 25 = -5*v + 7, 3*m - 4*v - 41 = 0 for m.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 15821138 and 3310.\nAnswer: 662","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*u**3 + 6 + 5 - 272*u**2 - 9 - 2 to m*u**3 + z*u**2 + a + f*u and give f.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = a**3 + 9*a**2 + 5*a - 5. Let y be l(-8). Suppose 2*c + 2 = -4*z, -3*c + 6*z = z - y. Let g(j) = -j - 1. Determine g(c).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*a - 5 = 3*c, -5*c + 2 + 43 = -5*a for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 711745.6 litres to millilitres.\nAnswer: 711745600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(1 + 5 + sqrt(320)) + -5 + 4.\nAnswer: 11 + 16*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 133801 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) be the first derivative of 2*f**6\/15 - 11*f**3\/3 - 12*f + 17. Let p(v) be the first derivative of t(v). Find the second derivative of p(o) wrt o.\nAnswer: 48*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 119a95 + -4?\nAnswer: 119a91","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 9262148485 rounded to the nearest one hundred thousand?\nAnswer: 9262100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-139*g**3 - 5913*g + 5913*g)*(-1 - 2 - 2)*(0 - 5 + 4) + (-3 + 2*g + 3)*(-4*g**2 - g**2 + 4*g**2) + 2*g**3 + g**3 - 2*g**3.\nAnswer: -696*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 6 - 4. Solve 0 = -5*z - 5*c, -m*z + 14 = 2*z - 3*c for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -101110111001010 - 111?\nAnswer: -101110111010001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.7 + 3.3. Let f = 2 - n. Let t = 0.02 + 3.98. What is the biggest value in t, f, 2\/3?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -281 - -281. Solve -y - 8 + 7 = p for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = 2*r + 16. What is j(-5)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v = 2*c - 500, v + c + 0*c - 103 = 0. Does 7 divide v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11*z**2 - 12*z**2 + 85 - 23*z**3 - 34 - 51.\nAnswer: -23*z**3 - z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-126)\/(-9) - -10) + (0 - -4). Let p be 1 - 35\/c - 9\/12. Let m(l) be the first derivative of -15*l**4\/4 - l**2\/2 - l - 1. Determine m(p).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 443671?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 210207992?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 72925459 to the power of 1\/3, to the nearest integer?\nAnswer: 418","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 9103?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -3.6 - -0.1. Let d = 4 + k. Let r = -493 + 491. What is the closest to 0 in d, r, 4?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 518 and 225293.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 277 + -51?\nAnswer: 226","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1213041182?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 632, 1268, 1904, 2540, 3176?\nAnswer: 3812","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1100475.\nAnswer: 3, 5, 67, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.5*1517.\nAnswer: -758.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1986 is divided by 4.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 80135*j**2*q**3*r + j**2*r - 25*j**2*u - 20365*j*q**3*u + 10*j*q**2*r - j*q*r + 2*q**2*r - 2*r*u with respect to u.\nAnswer: -25*j**2 - 20365*j*q**3 - 2*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of j*k**2*o + 15*j*k*o + j*o + 6*j + 2*k**3 - 10*o wrt k?\nAnswer: 2*j*k*o + 15*j*o + 6*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {z: 3, q: 3}. What is prob of sequence qqz?\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let -q**2\/5 - 276*q\/5 + 277\/5 = 0. What is q?\nAnswer: -277, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert 136 (base 15) to base 10.\nAnswer: 276","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 3 - 158?\nAnswer: -155","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 8 - 1. Suppose 8*m - 1 = 7*m. Suppose z - 1 = m. Solve z = 3*s - n for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -354.313872 - -354.3. Round r to 4 dps.\nAnswer: -0.0139","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c = -4, -2*c + 38 + 0 = 5*x. Let y(r) = r**3 - 7*r**2 + 8*r - 3. List the prime factors of y(x).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + sqrt(20) + 4 + sqrt(5) + sqrt(35)\/sqrt(7) - (sqrt(480)\/(sqrt(16)\/sqrt(2)))\/((sqrt(12) + sqrt(48)\/sqrt(4) - sqrt(12))*-4).\nAnswer: 3 + 17*sqrt(5)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_test"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -9*z - 54*z - 441 for z.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -9 - -12. Sort 2, 5, n.\nAnswer: 2, n, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 640 divide 72741120?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*(sqrt(363) + 3) - sqrt(363) - (-3 + sqrt(363) + -2))**2.\nAnswer: 2288*sqrt(3) + 23401","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 77\/2 of a millimeter?\nAnswer: 38500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + 3 + (sqrt(605) - (sqrt(605) + sqrt(605) + -2 + 5 - sqrt(605) - sqrt(605)) - sqrt(605)) + (2*sqrt(605) - sqrt(605))*5)**2 + -4.\nAnswer: 440*sqrt(5) + 15137","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve o = 5*g - 5, -2*o - 5*g = 44 - 49 for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -26*l + 28*l + 8 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) be the second derivative of -g**6\/180 + g**3 - 12*g. Let l(h) be the second derivative of p(h). Let s(q) = 12*q**2. Calculate l(s(k)).\nAnswer: -288*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9 - 13 - (-1 - 0).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (1 - 1 - 3) + 6?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*g**2 - 482*g + 484*g - 4*g**2 - g**2.\nAnswer: -5*g**2 + 2*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = 147*u - 211. Give p(6).\nAnswer: 671","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -8 + 2. Let c = o + 8. Let g be -4 - -7 - (3 - c). Solve q + 3 = -3*w, -4*w + g*w = 2 for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = q**2 - 7*q + 6. Let f be o(6). Suppose 14 = 2*l - f. What is the units digit of l?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -191088, -2, 1, 3.\nAnswer: -191088, -2, 1, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*i = -2*k, -10*k + 3*i = -8*k - 4 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:45 AM and 11:28 AM?\nAnswer: 643","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.04739287 + 0.0474. What is x rounded to 6 dps?\nAnswer: 0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 31 - 30. Suppose -z - g + 2*g + w = 0, -5*z - g = -23. Is ((-5)\/((-30)\/z))\/((-4)\/(-1830)) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 3966 and 3525.\nAnswer: 4660050","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*q - 288 = -8. Let l(c) = -7*c + 77. Let u be l(q). What is the greatest common divisor of 21 and u?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -76*k = -68*k - i - 1113, 301 = 2*k + 3*i. What is the highest common divisor of k and 6748?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = -17*k. Let g(x) = 4*x. What is d(g(v))?\nAnswer: -68*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (0\/((-3)\/1))\/(-1). Suppose -5*a + a + 8 = u. What is the least common multiple of a and 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 8996\/945 or 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -8 + (-5 - -3) - (-49 - (-8 - (-18 - -8)))\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 1038\/20760 + 861\/(-20)\nAnswer: -43","meta":{"dup_signals":{},"source":"arithmetic__mixed_test"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 559594401?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -54.69 + 59.69. Which is the second biggest value? (a) z (b) -0.14 (c) -5 (d) 25\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 32\/5 of a litre?\nAnswer: 6400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -58, -423, -1414, -3343, -6522?\n\"Answer: -52*g**3 - g**2 + 2*g - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -59\/880 and 23\/18480.\nAnswer: 18480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -10102 + -100?\nAnswer: -10202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = -g**2 - 1. Let q(s) = -5*s**2 + 3*s - 7. Let y(j) = -4*d(j) + q(j). Let m(z) = z - 1. What is 3*m(n) - y(n)?\nAnswer: n**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = 7*r - 1. Let y(g) = 6*g - 1. Let p(l) = -3*i(l) + 2*y(l). Differentiate p(o) wrt o.\nAnswer: -9","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -428411\/259 and -1653 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 6\/27 - (-29)\/(-9). Let i(z) be the third derivative of -z**4\/24 + z**3\/6 - z**2. Calculate i(s).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(833) + (1 + sqrt(833))*-1 + (sqrt(833) + (1*sqrt(833)*-3 - sqrt(833)))**2 + (-3 + sqrt(833)*-1 + 3)**2.\nAnswer: 8329","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let -4*l**4 + 8*l - 3*l**3 - 169 + 79 + 78 - 5*l**3 + 16*l**2 = 0. Calculate l.\nAnswer: -3, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -209 - -280. Find the third derivative of -j**2 + 3*j**2 - 2655*j**5 + t*j**3 + 39 + 2654*j**5 wrt j.\nAnswer: -60*j**2 + 426","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 2\/65, 3, 25, -2, 6, -1\/4?\nAnswer: 2\/65","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 13831?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 97 - 2 - (-17 + 77 + -30).\nAnswer: 65","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -335 + -12?\nAnswer: -350","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 55507, 110658, 165809, 220960, 276111, 331262?\nAnswer: 386413","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l - 32*n - 20 = -34*n, 2*l - 4*n = 0. Put 6, -3, l in descending order.\nAnswer: 6, l, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2103533 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b + 2*l - 3*l = -127, -b - 4*l + 35 = 0. Let m be (b - 45)*(57\/(-16) - 3). Factor 5\/2 + m*o**2 - 12*o + 25\/8*o**3.\nAnswer: (o + 5)*(5*o - 2)**2\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -11 - -10. What is the tens digit of (2 - d\/1) + 19?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 14741 is divided by 112.\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 66 and 699.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1267 = 9*g + 1006. Suppose 7*b = g*b - 9372. Does 6 divide b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -934 + 1434. Solve -2*l - 516 = -u for l.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {y: 6}. Give prob of sequence yyy.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p = 5*p. Suppose 0 = 12*d - 7*d. Solve p*j + j - 5 = d for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-1)\/1 - (-3 + 0). Let n(y) = 4*y**2 - 4*y**2 + 4*y**q. Let d(f) = -26*f - 5. Let u(m) = -63*m - 12. Let i(z) = 12*d(z) - 5*u(z). What is i(n(o))?\nAnswer: 12*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 6\/4 - ((-27)\/6)\/9. Let z be (6\/18)\/(13\/6 - s). Suppose -z*m = -5*h + 25, -3*m + 0*m = -4*h + 20. Solve 4*d - 3 = 1, m = -2*v - 3*d + 7 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = -34*l**3 - 142*l**2 + 3*l + 23. What is i(-4)?\nAnswer: -85","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s + 5 = 5*u, -5*u - 25 = -s - 6. Suppose 0 = -s*x - 4*p + 284, p + 75 = 3*x - 118. Is 11 a factor of x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -b + 2*c - 7, 0 = -3*b + 4*c - 1 - 12. Let w be (b\/2)\/(12\/96). Solve -5*t = -w*t + 3 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -4, 3, 1 in descending order.\nAnswer: 3, 1, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -52 - -51.993. Let q = o - -54.007. Let v = q + -53.901. Round v to 2 dps.\nAnswer: 0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -75400 rounded to the nearest 1000?\nAnswer: -75000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 4613, 8059, 11507, 14957?\nAnswer: 18409","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 5810\/1411 + (-2)\/17. Let f(l) = 2*l + 4. Let i(w) = w + 3. Calculate c*i(q) - 3*f(q).\nAnswer: -2*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = -3*u**3 - 2*u**2 - 149*u - 106. Calculate a(0).\nAnswer: -106","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v\/v**(-1\/5))**(2\/23)\/(v\/(v\/(v\/(v\/v**5))*v)*v\/(v**(-2\/11)\/v)))\/((v**(-6)\/(v\/v**(-2\/3)))\/((v\/v**(2\/3))\/(v\/((v**(1\/9)*v)\/v)))) assuming v is positive.\nAnswer: v**(11768\/11385)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 0*3*4\/24*-2. Solve 2*n = y + 2*y - 19, -5*n - 2*y - 19 = p for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*l - 90 = 240*z - 237*z, 10*z + 347 = 6*l - z for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 274 - 210. Suppose 872 = 8*i + f. Calculate the remainder when i is divided by 21.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f + 0 = -3*c - 5, -2*f = 3*c - 25. Suppose -4*d - 2*u + 14 = 0, 5*d - 2 - c = u. Solve 3*i + 23 = 3*g - d*i, 4*i = 2*g - 18 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 846696342.\nAnswer: 2, 3, 141116057","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 12.460499142 rounded to zero decimal places?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c**23*c)\/(((c\/(c*c**(-1\/28)))\/c)\/c))**17 assuming c is positive.\nAnswer: c**(12359\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -127*y + 125*y - 2*p = -10, 0 = 4*y - 5*p - 29 for y.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/3, 8, -4, 16\/55, 336.\nAnswer: -4, -2\/3, 16\/55, 8, 336","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-1)\/2)\/(21\/(-49)). Let k(p) be the second derivative of 0 + 5\/2*p**2 - 4*p + l*p**3. Find the first derivative of k(o) wrt o.\nAnswer: 7","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(sqrt(84) + 2*(sqrt(84) + sqrt(84) + sqrt(84)*2 + sqrt(84) + sqrt(84) - sqrt(84)))\/(sqrt(84)\/(sqrt(7)*4)).\nAnswer: 88*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 445 minutes before 8:21 PM?\nAnswer: 12:56 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -21 - -22. Suppose -b = 3*g + 2*l + 2*l, 5*g + 3*l - 13 = 0. Suppose 0 = 4*z - g*d - 102 - 200, 4*z + 5*d - 282 = 0. What are the prime factors of z?\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2022100 (base 3) to base 7.\nAnswer: -4623","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = -3*i. Let h(w) = 0*w + 7*w - 3*w. Give h(s(q)).\nAnswer: -12*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 247, 763, -174 in ascending order.\nAnswer: -174, 3, 247, 763","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = m**2 - m - 77. Let s be u(24). Suppose 4*n - s = 2*k + 1821, -2*n = 3*k - 1156. List the prime factors of n.\nAnswer: 5, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 0, 3, -97, -61269 in decreasing order.\nAnswer: 3, 2, 0, -97, -61269","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-4)\/(-7))\/((-2)\/119*-1) a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*m - 187 = -142 for m.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 252\/18 + 108*3\/(-22).\nAnswer: -8\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5124 a multiple of 183?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 8 - 0. Suppose -3*i = -g*i - 3*q + 8, 16 = -4*q. Suppose 40 = 4*j + i*b, 4*j - 36 = -0*j - 3*b. Let x(c) = c**3 - 7*c**2 + 4*c + 5. Give x(j).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*i**3\/7 + 124*i**2\/7 + 350*i + 15000\/7 = 0. What is i?\nAnswer: -25, -12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 130852 = -118*w + 2139566. Is w a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*o**5 + 475652*o**4 + 14139588076*o**3 - 42421618180*o**2 + 42422569504*o - 14141015056.\nAnswer: 4*(o - 1)**3*(o + 59458)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 15670, 62662, 140980, 250624, 391594, 563890?\n\"Answer: 15663*w**2 + 3*w + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4.3*0.04.\nAnswer: -0.172","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 2\/23 (b) 0.2 (c) 0.1 (d) -7 (e) -21\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 l when three letters picked without replacement from {l: 3}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 9*f**4*i**3 + 2361*f**4*i + 18*f**4 - 367*f**2*i**3 + f*i**3 + 14*f*i**2 - 2*f + i wrt f?\nAnswer: 216*f*i**3 + 56664*f*i + 432*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (486*j + 721*j + 3 - 509*j)*(-1 + 4 - 4).\nAnswer: -698*j - 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:51 AM and 7:43 PM?\nAnswer: 532","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {q: 1, a: 2, e: 1, j: 1, o: 2, r: 2}. Give prob of sequence qoao.\nAnswer: 1\/756","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xvj when three letters picked without replacement from {j: 1, v: 1, x: 14}?\nAnswer: 1\/240","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -20154.7 - -20156.5. Let w = -0.3 + 0.2. Sort 2, w, g in ascending order.\nAnswer: w, g, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 58880, 58739, 58504, 58175?\nAnswer: 57752","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*x + 29 = h + 2*x, 0 = 4*h - 5*x - 41 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 4445 or 4446?\nAnswer: 4445","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = -43*q + 44*q. Let h(i) = 3*i - 5*i + 0*i + q*i. Give h(-5).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 6 (b) -3\/4 (c) -2\/13 (d) 1025\/6\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z**(-14\/13)\/z)\/((z\/(z*z**(-14)\/z*z))\/z))\/(z**(-12)\/(z\/z**(3\/8))) assuming z is positive.\nAnswer: z**(-255\/104)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from sdxxbhb. Give prob of picking 1 x and 1 b.\nAnswer: 4\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 17 + -13. Suppose 3*h - 20 = -5*p, -h + 0 = -x*p - 1. Suppose -l + 2*n = -0*n + 18394, -h*l - n - 92003 = 0. What is l rounded to the nearest 1000?\nAnswer: -18000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = -4*t**2 - 7*t + 36. Let n be a(-8). Let k = n + 167. Solve k*u = -7 - 2 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1 - 1 + 3)*(3 + 2 - 3)*(4*c**4 - 2*c**4 - 4*c**4) as j*c**2 + i*c**3 + w*c**4 + s + m*c and give w.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 6*h + 4*h**2 + 2*h - 2*h**2 - 2*h**3 to the form r*h + y*h**2 + m*h**3 + u and give y.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qgcq when four letters picked without replacement from {g: 1, q: 2, c: 4}?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 843360911?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 9, 6, -1, -12, -27, -46, -69?\n\"Answer: -2*n**2 + 3*n + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Determine b, given that -147 + 3\/7*b**3 + 3*b**2 - 21*b = 0.\nAnswer: -7, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 983 and 0.3?\nAnswer: 982.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 w and 1 d when three letters picked without replacement from dwaahddahdrddhaawwd?\nAnswer: 7\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 2244 - 2141?\nAnswer: 103","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 3 and 147.\nAnswer: 147","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y = -2*y + 33. Let s = -1206 + -557. Calculate the remainder when s\/(-82) - (5\/2 - 1) is divided by y.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 397388*t**6 + 29641*t**2 - 8*t wrt t.\nAnswer: 47686560*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.219 - -0.919. Put -2, -2\/17, t in increasing order.\nAnswer: -2, -2\/17, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-49932)\/(-8) + 0\/(-2 + 1). Let b = -205894\/33 + x. What is the common denominator of b and -46\/121?\nAnswer: 726","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 13*c - 14*c - 4*q - 8, 0 = 2*c + 4*q + 8. Let t = -3.6 - -9.4. Let a = t - 6. Is a < c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 21866?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of (-12)\/28 - 339\/(-7)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = v**2 + 8*v - 3. What is i(-9)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 93 + -89. Suppose 4 = -f*x - 92. Calculate the remainder when (x\/10)\/((-2)\/30) is divided by 19.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*o - 2 = v - 7, -3*v - o + 15 = 0 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o + 5*o = -81. Let f = -15 - o. List the prime factors of f.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 102922081.\nAnswer: 102922081","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put -17, 2\/17, -5, 2, -0.4, -0.5 in descending order.\nAnswer: 2, 2\/17, -0.4, -0.5, -5, -17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 88, 5.\nAnswer: -5, 5, 88","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 101 a factor of 92549431?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round 200.070202 to 2 dps.\nAnswer: 200.07","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = 3*v - 5. Suppose -10*x = -v - 17. Let u(q) = q. Let s(i) = -7*i. Let t(n) = -5*s(n) - 30*u(n). What is t(x)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {x: 3, g: 3, n: 5, c: 2, d: 6, v: 1}. Give prob of picking 1 x, 1 v, and 1 d.\nAnswer: 3\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-4)\/8)\/(2\/(-36)). Suppose -4*r = -7*r + c. Solve -r*j = 4*h - 23, 5*h = -3*j - j + 30 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = -56*x - 619. Calculate the remainder when 290 is divided by m(-12).\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 12209\/5 (b) -228 (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a**4\/3 + 57*a**3\/2 + 29*a**2\/2 - 43*a\/3 = 0. What is a?\nAnswer: -1, 0, 1\/2, 86","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/2 in -739, -181, -11?\nAnswer: -11","meta":{"dup_signals":{},"source":"comparison__closest_test"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = -7*n**2. Let r(t) be the second derivative of 1\/24*t**4 + 0 + 3*t**2 + 3*t + 0*t**3. Let m(j) be the first derivative of r(j). Give m(i(y)).\nAnswer: -7*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) be the third derivative of 1\/10*p**5 + 7*p**2 + 0*p + 1\/60*p**6 + 0*p**4 + 0*p**3 + 0. What is the third derivative of d(w) wrt w?\nAnswer: 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 33\/5134 and -51\/19177.\nAnswer: 652018","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 55450 (base 14) in base 11?\nAnswer: 131298","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 61669 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is ((1197 - 4)*1)\/1 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z + 149 = -4*q, -2*z - 73 + 127 = 4*q. Solve -27*d + 10 = -z*d for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {m: 4, w: 1, l: 6, q: 3}. Give prob of sequence lmqm.\nAnswer: 9\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -135*k**2 - 5837*k - 1376 = 0. Calculate k.\nAnswer: -43, -32\/135","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24468 = -704*s + 713*s + 7998. What is the hundreds digit of s?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = -4*j**3 + 21*j**2 + 159*j + 21. Give c(-4).\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = z**3 - 2*z**2 - z. Is 25 a factor of t(5)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -4*j - 2*j**2 + 5 - 4 + j**3 + 0 - 5 as w*j**2 + c*j**3 + p*j + v and give p.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 144 and 1920.\nAnswer: 5760","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 342858032?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = -4*g**3 + 3*g**2 - g - 11. Let v(o) = -13*o**3 + 9*o**2 - 3*o - 34. What is 7*b(x) - 2*v(x)?\nAnswer: -2*x**3 + 3*x**2 - x - 9","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 19 a factor of 10944?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 222a34a (base 12) in base 5?\nAnswer: 3132410444","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is b (base 13) in base 15?\nAnswer: b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1308213825?\nAnswer: 3, 5, 2293, 7607","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 14171, 28345, 42521, 56699, 70879, 85061?\nAnswer: 99245","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = 7*p. Let c(t) = 15785427*t**2. What is j(c(l))?\nAnswer: 110497989*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s + 21 = 7*s. Suppose s*r = 1558 + 269. What is the units digit of r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = 5*l - 6. Let g(i) = 4*i - 5. Let a(z) = -5*d(z) + 6*g(z). Let c be a(0). Let t = 186000.5 + -186001. Sort t, -3\/2, c, 3.\nAnswer: -3\/2, t, c, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 18 - 9. Suppose -24 = -3*u - 2*g, -6 = 5*g + k. Calculate the smallest common multiple of 11 and u.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 23 + (1 + -1)\/1?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 - ((-2 - 4) + 3 - -2).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -22211021 (base 3) to base 8\nAnswer: -14441","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -2 less than -8563?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 431?\nAnswer: 431","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 11\/(-385)*((-3575)\/22)\/(-13).\nAnswer: -5\/14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = -19*o**2. Let i(z) be the first derivative of -1\/4*z**4 - z - 4 + 0*z**3 + 0*z**2. Let g(p) be the first derivative of i(p). Give k(g(j)).\nAnswer: -171*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 9727979 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 84744498?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 29.119926578 - 29.12. What is z rounded to 5 decimal places?\nAnswer: -0.00007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 v and 1 o when two letters picked without replacement from {v: 1, q: 4, i: 2, o: 4}?\nAnswer: 4\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2 - 316*y**2 + 2137*y - 4241*y - y**3 + 2107*y to the form i*y**2 + o*y**3 + m + f*y and give m.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 398*m + 1893 = 321*m - 1503 + 470 for m.\nAnswer: -38","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 2784 and 306?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 11522 - 3?\nAnswer: 11515","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 25391 + -25388.2063. Let o = -106.78 - -104. Let a = q + o. Round a to three dps.\nAnswer: 0.014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 6 - -12. Calculate the least common multiple of a and 6.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (15\/(675\/(-18)))\/((-3)\/(-30))?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 8 + -5. Let r(h) = 4*h**2 - 115*h - 26. Let b be r(29). Find the third derivative of -b*l**g - 47*l**2 + 27*l**5 + 72*l**2 + 3*l**3 wrt l.\nAnswer: 1620*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 211200 (base 3) to base 6.\nAnswer: 2500","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 1\/(-4)*(-2)\/3*12. What is the fourth smallest value in -5, 4, u, 3?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = 5*n**2. Let l(p) = -9284355*p. Give l(r(d)).\nAnswer: -46421775*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1826 = -45*v + 746. Let w be (-114)\/v - 1\/(-4). Let g(t) = -2*t + 6. Calculate g(w).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = h. Let g(o) = -o**2 - o + 4. Suppose -280*y = -338*y + 58. What is y*a(c) + g(c)?\nAnswer: -c**2 + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -366 and 0.5.\nAnswer: -183","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 253234 is divided by 11041.\nAnswer: 10332","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -729*x + 728*x - 1 = 0 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(-23)*g**(-2))\/((g\/g**(-2\/37))\/g)**(-13\/5) assuming g is positive.\nAnswer: g**(-4599\/185)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 41\/23 and 33\/115.\nAnswer: 115","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00038814813361 rounded to 7 dps?\nAnswer: -0.0003881","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = -k**3 + 9*k**2 + 1. Let j(b) = -b**2 - 19*b - 51. What is the smallest common multiple of a(9) and j(-15)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -175547 to the nearest 1000.\nAnswer: -176000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -88859, -177730, -266589, -355430, -444247?\nAnswer: -533034","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vjj when three letters picked without replacement from {v: 1, n: 1, j: 2, b: 1}.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = -g**3 - 2*g**2 - g - 3. Let l(w) = -w - 78 - 3*w**2 - w**3 + 36 + 40. Let x(t) = -3*l(t) + 2*u(t). What is the remainder when 44 is divided by x(-4)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 6061 - 6060.97. Which is the third biggest value? (a) -84 (b) -5 (c) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = 2*i**2. Let c(m) = -32*m. Let v(y) = 304*y. Let q(f) = 48*c(f) + 5*v(f). Calculate q(t(h)).\nAnswer: -32*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 665966472 = 665966473?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = 13*m**2 + m + 1. Let c(s) = -8*s**2 - s + 3. Let h(d) = -28*d**2 - 3*d + 5. Let y(o) = 2*c(o) - h(o). Calculate -5*f(t) + 6*y(t).\nAnswer: 7*t**2 + t + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -24 = -4*f + 4*x, f - 4*x - 10 = 8 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = -b + 4. Let u be ((-3)\/2)\/((-7)\/b). Find the common denominator of -139\/12 and 1\/u - (-176)\/(-15).\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 2360943981 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = -2*g**3 - 35*g**2 + 59*g + 37. Let y be m(-19). Which is smaller: 2\/5147 or y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = 4*w**3 - 4*w**2 - 7*w - 6. Let a(t) = 17 - 11*t**3 + 11*t**2 - 19*t + 20*t - 2*t + 21*t. Give 6*a(j) + 17*b(j).\nAnswer: 2*j**3 - 2*j**2 + j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor -x**3\/6 - 428*x**2\/3 - 3864*x.\nAnswer: -x*(x + 28)*(x + 828)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*sqrt(44)*-1*6 - 2*(1 + (0 + sqrt(176) - sqrt(176) - sqrt(176) - sqrt(176))).\nAnswer: -2 + 40*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) be the first derivative of -1709*x**3\/3 - 73*x**2\/2 + 10*x - 356. Find the second derivative of l(q) wrt q.\nAnswer: -3418","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2719255?\nAnswer: 5, 7, 11, 1009","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 3624 and 24.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1030 and 26368.\nAnswer: 131840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-8)\/(-42)*(1\/(-3))\/((-34)\/(-119)).\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -266929\/5 + 607530059\/11380. Find the common denominator of h and -55\/6.\nAnswer: 6828","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 5 and 40.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*y - 5*y - 327*t = -318*t + 111, -5*y + 4*t = -41 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-12 - (-4)\/1)*(-1)\/4. Suppose 4*z = n*h + h - 66, 66 = 4*h + 2*z. 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 next in 16468, 32917, 49366, 65815, 82264?\nAnswer: 98713","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 k and 2 e when three letters picked without replacement from eeeekkk?\nAnswer: 18\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 14049 is divided by 12?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u = 3*c - 172, 0 = 5*c + u - 71 - 204. Suppose 0 = s + 2*s - c. List the prime factors of s.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gar when three letters picked without replacement from {g: 2, a: 1, r: 1}.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 2\/4267 - 4273\/12801. Which is smaller: -418 or d?\nAnswer: -418","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2306 (base 9) to base 12.\nAnswer: ba3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m + i + 50 = 0, -m + 34 = -5*i + 9*i. What is the remainder when 70 is divided by m?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -10640796.1 to the nearest 1000000.\nAnswer: -11000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -1 + 4 + (-1 - 0). Suppose 3*v = -q*y - 4, -3*y - y - 8 = -3*v. Solve v = 4*x - 7*x - 6 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -73 in 2, 1.33, 3, 0.0702?\nAnswer: 0.0702","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + sqrt(1053)*-4.\nAnswer: -36*sqrt(13) + 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is -38937211 greater than -38937211?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 11415060 and 540?\nAnswer: 540","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -48.72 + 50.72. Which is the nearest to 2\/3? (a) k (b) -5 (c) -17\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 6\/11, 4, -9 in increasing order.\nAnswer: -9, 6\/11, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 22018, 22076, 22134?\n\"Answer: 58*y + 21960","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) be the third derivative of y**9\/13440 - y**8\/1680 + y**7\/840 + y**5\/20 - 3*y**2. Let n(u) be the third derivative of j(u). Let n(a) = 0. Calculate a.\nAnswer: 0, 2\/3, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7165401167 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -43\/1296 and -85\/422.\nAnswer: 273456","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 5092157 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: (1 - -3) + (-4 - -5)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -247, -152, 13, 254, 577, 988, 1493?\nAnswer: 2098","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h**2\/3 - 37*h\/3 + 12 = 0. What is h?\nAnswer: 1, 36","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 10*f*o*s**6 + 344*f*o*s**4 + 3*f*o*s**2 + 20*f*o + 155*f*s**2 + f - 2*s**2 wrt s.\nAnswer: 1200*f*o*s**3 + 8256*f*o*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 324 a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 6\/5 of a microgram?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/291? (a) 1\/3 (b) -3.76 (c) -2\/19\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*q + 3 + 12*q + 42*q.\nAnswer: 54*q + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-64 - -61) + 2 + (-1 - -8).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in -0.24, 5\/12, 3?\nAnswer: -0.24","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -42 + 75. Let r(z) be the first derivative of 2*z**3\/3 - 3*z**2\/2 - 3*z - 2. Let f be r(-2). What is the highest common factor of u and f?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -10\/17 - -117\/170. Let s = -0.23 - 0.09. Let o = s - 2.68. What is the second biggest value in 0, d, o?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4036939?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 58 a factor of 1905299531?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -181 + 117. Let u = y - -64.1. Which is the fourth biggest value? (a) u (b) 3\/2 (c) -2 (d) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {j: 1, i: 6, c: 4}. What is prob of picking 3 c and 1 i?\nAnswer: 4\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = -6*c**3 - 71*c**2 + 4*c + 116. Let l(h) = -5*h**3 - 57*h**2 + 3*h + 93. Let m(n) = 9*b(n) - 11*l(n). Give m(9).\nAnswer: -195","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 387.84569044+-9.22\nAnswer: 378.62569044","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1.7 + 6.7. Let z = 1 - 3. Let h = -0.2 - -0.4. What is the nearest to h in x, 0.2, z?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 151*p = 244*p - 2046 for p.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -42*x - 98 = -118*x + 358. Let b(l) be the first derivative of 4\/5*l**5 + x*l**2 + 0*l + 11 + 5*l**4 + 28\/3*l**3. Factor b(y).\nAnswer: 4*y*(y + 1)**2*(y + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g + l + 8 = 0, -4*l - 4 - 7 = -g. Let c(i) = 2*i**2 - 2*i + 3. What is the remainder when c(4) is divided by g?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -1*(-4 - 9\/(-3)). Suppose -z + 4 = -c. List the prime factors of z.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -294570 divided by 9819\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -4*(-78)\/24 + -3. Suppose 5*y = 125 - u. Calculate the remainder when 113 is divided by y.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = 4*q, 4*y - 2*q - 47 = -19. Suppose -2*z = y*z - 30. Solve z*f - 5 = s, s - f - 1 = -2 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = z + 4. Let m be t(-4). Suppose m = -4*d + d. Suppose d = -p + 2*y + 7, y + 12 = 2*p - 2*y. What is the units digit of p?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = -d + 1. Let u be 6\/9 + 180\/(-108). Let q(r) be the third derivative of 1\/30*r**5 + r**3 - 5\/12*r**4 + 0*r + 0 - 3*r**2. Calculate u*q(x) + 8*n(x).\nAnswer: -2*x**2 + 2*x + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express 15*o**3 + o**2 - 27*o**3 - 6*o - o**4 + 11*o**3 in the form p*o**4 + s*o**2 + t*o**3 + n + g*o and give s.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1280227\/2494962 - -12\/15401. Calculate the common denominator of -119\/264 and l.\nAnswer: 7128","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -444 - -878. Suppose 0 = -f*t + 439*t. Sort -3, t, 69.\nAnswer: -3, t, 69","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3856 is divided by 259?\nAnswer: 230","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round 1402.78872 to the nearest 100.\nAnswer: 1400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express 11*z**2 + 1 + 90492*z - 180966*z + 90482*z + 2*z**3 as y*z**2 + r*z + g + w*z**3 and give w.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -0.22, 2\/23, 145 in ascending order.\nAnswer: -0.22, 2\/23, 1, 145","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6545*p**2 + 6545*p**2 - 6*p**3.\nAnswer: -6*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = -f + 17. Let q be r(14). Suppose q*t = -1 + 13, 4*v + t = 4. Find the first derivative of -l**4 + 0 + v - 5 wrt l.\nAnswer: -4*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-45 - -7) + (-16 - -9) + (0 - -1)?\nAnswer: -44","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {i: 2, d: 11, v: 2}. What is prob of sequence dvv?\nAnswer: 11\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = 5*a + 22. What is s(-2)?\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -24.1 + 28.4. What is the third smallest value in -2, a, 0.4?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = -u**2 + 12*u - 20. Determine d(3).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 64.2852 decades to centuries.\nAnswer: 6.42852","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v + 0*v - 9 = d, 4*v = -4*d + 4. Suppose -3*l = -v - 7. Solve -4*x = 2*f - 0 - 4, 0 = 3*f + 4*x - l for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2713 greater than 13566\/5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 1\/(-12)*(-449 - -139). Is 2\/11 >= s?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 163*c = 5*u + 20, 8 = -c - 130*u + 128*u for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 4590959?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor -747*q**2 - 528882*q - 4248.\nAnswer: -3*(q + 708)*(249*q + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 129 - 1656826.72669.\nAnswer: -1656697.72669","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 76486547 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**5\/r*r)\/r**(-1\/5)*(r\/(r**(-1\/2)\/r))**(-20)*r**(-1\/3)\/((r*r**(-4))\/r)*r**(-1\/3)\/r**(-2\/19) assuming r is positive.\nAnswer: r**(-11788\/285)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 148*r + 2508 = 376*r for r.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/25 of a day in seconds?\nAnswer: 10368","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: (-24)\/4*1*(-3)\/6\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -17 - m - 29 + 3*m - 3*m.\nAnswer: -m - 46","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -271 + 746750\/2750 - 65\/99\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 3.4 - 3. Let q = 0.29 + 5.31. Let m = q - 6. Which is the closest to g? (a) 2 (b) 0.4 (c) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) be the third derivative of -u**5\/60 + 3*u**4\/8 - 2*u**3\/3 + 7*u**2. Suppose -2*n = -11*g + 14*g - 10, 0 = -5*g - 4*n + 12. Calculate h(g).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 7569 - 4869. Suppose -3*b = -12, -a = -5*l - 4*b + 681. Is l a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*x + 23*x**2 + 89*x**2 + 23 + x.\nAnswer: 112*x**2 - x + 23","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round 528800 to the nearest one hundred thousand.\nAnswer: 500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 868583?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 18882 + 2875. Is y a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-12)\/(-16) - (-225)\/20. Calculate the greatest common factor of 84 and j.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -15*f - 3*f + 33906 + 1284. Calculate the highest common factor of f and 170.\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__gcd_composed_test"},"subset":"dm_maths"} +{"text":"Question: Calculate (12\/12)\/((-1)\/((-4)\/22)).\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 516 + -517.83. Is 0.1 less than or equal to b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 969 is divided by 9.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -131220 and -1530556?\nAnswer: 1399336","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Work out -250035 - -5.\nAnswer: -250030","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 16\/(-36)*(-45)\/10. Which is the fourth smallest value? (a) -3 (b) j (c) 26 (d) -2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l + 5*z = 30, -2*l - 3*z + 26 = 3*l. Suppose l*i - 49 = -3*q, -i = 5*q - 2 - 6. Suppose 0*u = u - 25. What is the remainder when u is divided by i?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.3 times -1058649?\nAnswer: -317594.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-1)\/((3\/9)\/((-10)\/6)). Suppose -h + 2*h = 4*l - 5, 49 = -3*h - m*l. Is h smaller than -13?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 7 + 5715397115034.\nAnswer: 5715397115041","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 6 - 4. Let y be 50\/15*(8999 + 1). Suppose a*s = 5*s - y. Round s to the nearest one thousand.\nAnswer: 10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p - 8*p + 30 = 2*m, -p = -4*m + 16. Solve -m*b = -47 + 22 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*l + 4 = -2*l. Suppose 7*p + 16 = 5*p + 4*j, -4 = -p - 2*j. Is p*(116\/(-8) + l) a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = 12*d - 3. Calculate a(4).\nAnswer: 45","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify o*o\/(o*o*o**(-2\/41)*o)*o**(-1\/3) assuming o is positive.\nAnswer: o**(-158\/123)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 2518965 and 18192525?\nAnswer: 163732725","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.467 + -0.425991. Let p = 0.0408 - i. Round p to five dps.\nAnswer: -0.00021","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 7078546, 14157092, 21235638, 28314184?\nAnswer: 35392730","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) be the first derivative of 18 + 0*p**2 + 3*p + 0*p**3 + 1\/10*p**5 + 1\/3*p**4. Let f(y) be the first derivative of u(y). Factor f(z).\nAnswer: 2*z**2*(z + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 16\/3, -3, 0.5, -1, -5 in increasing order.\nAnswer: -5, -3, -1, 0.5, 16\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3457503 (base 8) to base 16.\nAnswer: -e5f43","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-16)\/(-42)*(18\/8)\/(-3).\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.01 + -2.99. Let y = 1 - t. Let f = 3.8 + -4. What is the nearest to 1\/4 in f, y, 5?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 22 (base 10) in base 4?\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 467 + -148. Calculate the remainder when i is divided by 40.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1011001101111001001 (base 2) to base 16\nAnswer: 59bc9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -1\/9, 0.17, 2\/11, 0.2, -3?\nAnswer: 0.17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 5939691 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 1134467 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = -767725*w. Let i(s) = 4*s. Give x(i(j)).\nAnswer: -3070900*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -3571 + 5438. Is l prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fac when three letters picked without replacement from {r: 1, e: 1, f: 2, c: 2, a: 2}.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 1 - 2*p)*(3*p + 5 - 5) + 0*p**2 + 5*p**2 - 2*p**2 - 5*p**2 + 4*p**2 - 3*p**2.\nAnswer: -7*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*y = 8*b - 14*b + 32, 0 = y - 4*b + 18 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 211333 (base 4) to base 6\nAnswer: 15131","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 27653676 at least as big as 27653674?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -2 - 1131342?\nAnswer: -1131344","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 4, 0.5, 130465, 1, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1437397?\nAnswer: 13, 110569","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1011100100101 (base 2) to base 13.\nAnswer: -290a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 31 - 11. Let v = -59\/3 + r. Sort v, -1, -4\/3 in increasing order.\nAnswer: -4\/3, -1, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -1\/5, -3, 10948?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 1747098 divided by -1\nAnswer: -1747098","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -37, -83, -129, -175?\n\"Answer: -46*b + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 261*u + 273*u + 261*u - 798*u.\nAnswer: -3*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = -9*m**2 - m - 5. Let l(k) = 28*k**2 + 4*k + 16. Suppose -27 = -5*a - 2. Let h(f) = a*l(f) + 16*o(f). What is the second derivative of h(g) wrt g?\nAnswer: -8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 178450 rounded to the nearest 1000?\nAnswer: 178000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2020.\nAnswer: 2, 5, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Divide 12103955 by 6.\nAnswer: 12103955\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -13 - -4. Let a = y - -28. Calculate the remainder when a is divided by 5.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 890?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = -p**2 - 12*p - 11. Suppose 443 - 421 = -2*k. What is l(k)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1\/(-8*4\/(-32)) + (-3072)\/(-4) is divided by 86?\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -h**3 - 29917*h**2 + 182247 wrt h.\nAnswer: -3*h**2 - 59834*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 13\/4 of a kilometer?\nAnswer: 3250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -215 - 222 - 203*s + 654 - 221.\nAnswer: -203*s - 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 55130\/110 + 60\/33 + -2?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.1085 - -0.0885. What is the nearest to 2 in a, 2, 0.4?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 303260 and 1328090.\nAnswer: 590","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -4.745 - 0.055. Let c = 4.3 + k. Let l = 3.9 - -1.1. What is the smallest value in l, c, 2?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -31 (base 6) to base 4.\nAnswer: -103","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = -w**3 - 26*w**2 + 2*w - 59. Let t be c(-33). Is -1*t\/(-1) - 4\/(-4) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 14 - 10. Suppose 5*l + 0*d + 5*d + 10 = 0, -l - 4*d - 17 = 0. Solve -c - x = c, 4*c = l*f - 5 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 76586494?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 12\/(-8)*(-2 + (-429)\/(-216)). Let f(s) be the second derivative of -k*s**4 + 0 + 1\/24*s**3 + 0*s**2 + 3*s. Factor f(g).\nAnswer: -g*(g - 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10920 to the power of 1\/3, to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 211679 + -136068. Is j composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 119105*s - 60036*s - 38435*s + 325586*s.\nAnswer: 346220*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0.33908 - 0.34. What is c rounded to four decimal places?\nAnswer: -0.0009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = -2*l**3 + 3*l**2 - 3*l - 3. Let g(n) = -5*n**3 + 7*n**2 - 7*n - 7. Let j be (34 - 6)*(-1)\/(-4). Determine j*k(v) - 3*g(v).\nAnswer: v**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 26.4 (b) -1 (c) 0.6 (d) -30\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 4\/11? (a) -1 (b) 0.2 (c) 8 (d) -7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30 = -5*o + 5*w, 0*w = -2*o - w + 3. Suppose 5*d + 3*h - 2549 = 0, h - 135 + 1148 = 2*d. Suppose d = y + o*y. Is y a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = 43*n**3 - 11*n**2 - 6*n. Let k(g) = 14*g**3 - 4*g**2 - 2*g. What is -4*a(r) + 11*k(r)?\nAnswer: -18*r**3 + 2*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 6 - -6. Calculate the least common multiple of d and (58 - 4)*1 + 4.\nAnswer: 348","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 386868000 to the nearest 1000000.\nAnswer: 387000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a - 68*x + 73*x - 3889 = 0, 5*x + 2551 = 2*a. Calculate the remainder when a is divided by 640.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -22358\/45 + 496. Calculate the common denominator of 1\/4 and t.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 161, 458, 879, 1418, 2069, 2826, 3683, 4634?\n\"Answer: -t**3 + 68*t**2 + 100*t - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 229819050.4 to the nearest 1000000.\nAnswer: 230000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2706?\nAnswer: 2, 3, 11, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:01 PM and 5:21 PM?\nAnswer: 320","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -12844784, -12844785, -12844786, -12844787, -12844788?\n\"Answer: -z - 12844783","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 73555?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Divide -12144753 by -1.\nAnswer: 12144753","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r = 2*p + 892, 4*r - p = 4*p + 717. Is r prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 15267680 and 21374752.\nAnswer: 106873760","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert -75c04a (base 13) to base 10.\nAnswer: -2768282","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 + -3 + -4 + 5 + -9?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*p + 3*x + 87, -3*p - 22*x + 17*x = -121. Let k = p - 31. Which is smaller: k or 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.0274 + 0.9434. Let z = 0.91097 - y. What is z rounded to three decimal places?\nAnswer: -0.005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -314*i - 3*c = -317*i, 4*i - 5*c = 2 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = 60*t - 91. What are the prime factors of n(8)?\nAnswer: 389","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3*-1633182.\nAnswer: 4899546","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = -8*y - 27. Let p be g(-9). What is the highest common factor of p and 15?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -z**5\/3 + 88*z**4\/3 + 11*z**3\/3 - 950*z**2\/3 - 1576*z\/3 - 704\/3 = 0 for z.\nAnswer: -2, -1, 4, 88","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = 4*x**2 + 5*x. Let i(h) = 3*h**2 + 4*h. Let j(d) = -5*i(d) + 4*o(d). Let q(k) = -364*k**2 + 182*k**2 + 180*k**2. Determine -9*j(z) - 4*q(z).\nAnswer: -z**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:24 AM and 5:43 PM?\nAnswer: 679","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 230071?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-424)\/10 + 9\/(-15). Let b = w + 80. Is 17 a factor of b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 69 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express -v**2 + 3*v**2 - 3 + 3*v**3 - 4*v**3 + v**3 + 2*v + 7*v**4 - 3*v**3 in the form b + y*v + c*v**2 + a*v**4 + h*v**3 and give a.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -109.906 - -110. Let h = p + -0.484. Let k = h - -0.29. Is -5 greater than k?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -27163.057 + 27255. Let r = a - 92. Let b = -0.0615 - r. Round b to three decimal places.\nAnswer: -0.005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 39*m**5*s + 2*m**2*s**2 - m*s**2 - 62*s**2 - 1 wrt m.\nAnswer: 780*m**3*s + 4*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/2? (a) 2\/13 (b) 3 (c) 0.2 (d) 62\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-1)\/(-6)*16\/(-12). Let t = -0.08 - 0.02. Which is the closest to -1\/4? (a) k (b) t (c) 0.03\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = 14*o + 60. Give p(-6).\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2942345?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -10669 in 5, -0.015, 1\/3?\nAnswer: -0.015","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is (-117)\/(-4)*2\/3*(-11570)\/(-3471)?\nAnswer: 65","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -5.8737 - -5.505. Let c = 54.39 + -54. Let n = c + d. Round n to 3 decimal places.\nAnswer: 0.021","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b + 25 = 3*b. Let q = b + -6. Is (q + 2)\/(1\/127) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 0 - 2)*(1 - 2*f - 1)*(-587 + 294 + 268).\nAnswer: -50*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 6818 and 26701236.\nAnswer: 974","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -25160, -25158, -25156, -25154?\n\"Answer: 2*t - 25162","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 204224*q**4 + 289677*q**2.\nAnswer: 4901376*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/7 in 1, 0.5, 5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*r = -5*b + 24, -r - 3*b - 2*b = -3*r + 127 - 175 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t - 8 = j + 16, 2*t + 24 = 2*j. Let d(y) = -y. Let r be d(-10). Let h(z) = -r*z - 7*z + 7*z - 3*z. Let k(c) = -3*c. What is t*k(i) + 2*h(i)?\nAnswer: i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x - 3*k = 736, -760 = 4*x - 3*k - 0*k. Let s = -86 - x. What is the remainder when s is divided by -19 - (15 - (-6692)\/(-98)) - (-2)\/(-7)?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 347 a factor of 38764064?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f - 51 = -13*f. Solve 0 = -5*r - g - 11, f*r + 3*g + 7 = 2*g for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) be the first derivative of -63*h**4\/2 + 32*h**3 - 11*h**2 + 4*h\/3 + 2274. Factor j(w).\nAnswer: -2*(3*w - 1)**2*(21*w - 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21 = -2*v + 5*r - 5, -3*v - 2*r + 5 = 0. Suppose v*k - 10 + 4 = 0. Which is the closest to 1\/2? (a) k (b) 0.4 (c) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 599942.\nAnswer: 2, 7, 42853","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 682085719 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2200*h**2 - 534*h**2 - 575*h**2 - 558*h**2 - 529*h**2.\nAnswer: 4*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -115*i - 51150*i**3 - 12*i + 127*i.\nAnswer: -51150*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8*n - 5*n + n.\nAnswer: 4*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -30142012 (base 6) to base 4\nAnswer: -3100103120","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -7 + -1805?\nAnswer: -180c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 98 and 42?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2.935, -2\/7, 210 in descending order.\nAnswer: 210, 2.935, -2\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = -r**2 - 6*r. Let p be (5 + -2)*(-12)\/9. Is 5 a factor of s(p)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 561.7935l to millilitres.\nAnswer: 561793.5","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Determine h, given that -h**2\/6 - 655939*h\/2 + 983909\/3 = 0.\nAnswer: -1967818, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 + (39\/3 - 6)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7 = -4*j + 11 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 11\/(-11)*-9 + -6\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (16\/(640\/30))\/(18\/(-4))?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -43, -27, 15, 95, 225, 417, 683?\nAnswer: 1035","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-59)\/5 - (-1)\/(-5). Put -3, 3, d in decreasing order.\nAnswer: 3, -3, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -8, -5, -51 in descending order.\nAnswer: -5, -8, -51","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 10115 and -44.\nAnswer: -445060","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = x**2 + x - 1. Let t(r) = 2*r**2 - 4*r - 8. Let w be t(4). Suppose -2*d + w - 16 = 5*v, 2*d - 4*v = -8. What is s(d)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = -3*r**2 + 8*r**3 - 4*r**2 - 9*r**3 + 6*r - 1 + r**2. Let x = -56 + 71. Suppose -2*j + s - 6 = 6, j + 4*s = -x. What is v(j)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 196*d**6 - 13*d**3*u**2 + 2*d**3 - 1871*d**2*u - 6*d*u**2 wrt d?\nAnswer: 23520*d**3 - 78*u**2 + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.1542374 and 236.\nAnswer: -36.4000264","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 224 - 224.00000433. Round u to six dps.\nAnswer: -0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (91\/14)\/(-13)*(-118 + 0). Suppose -2*o + 4*k - 64 = 0, 5 = -2*o + k - v. Let p be (-1*12)\/((-3)\/(-8)). Is o < p?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:21 AM and 10:44 AM?\nAnswer: 443","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Determine y so that 4*y**5 + 22*y**4 + 26*y**3 + 8*y**2 = 0.\nAnswer: -4, -1, -1\/2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s + 28 = 4*v, 3*v - 4*s - 45 = -17. Let a(y) = 11*y - 7. Let o be ((-14)\/2)\/(-2 - -1). Let h(u) = -6*u + 4. What is o*h(r) + v*a(r)?\nAnswer: 2*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1487 divided by -57.\nAnswer: -1487\/57","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 128419 and 689.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 3133223320 (base 4) in base 2?\nAnswer: 11011111101011111000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = -2*i - 5. Let r be q(-4). Suppose r*w = 7*w - 12. Let j be ((-20)\/(-6))\/(2\/3). Solve 4*c + 5*o = j, -w*c + 5*o + 2 = 7 for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 4515262904?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rbp when three letters picked without replacement from prrpbbbbb.\nAnswer: 5\/126","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -5111 (base 6) in base 8?\nAnswer: -2143","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1719846544 to the nearest integer?\nAnswer: 41471","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -76 - -78. Solve l - 12 = 3*s, 3*s + 5*l = -b*s for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) be the second derivative of -8\/3*m**3 + 10\/3*m**4 + 0*m**2 + 7\/15*m**6 - 9\/5*m**5 - 1\/21*m**7 + 0 + 29*m. Suppose y(v) = 0. Calculate v.\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3*(-231)\/504*-8?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g - 11 = c, 7*g = 2*g - 25. Let k be 6\/12 + 21\/c. Put 1, -1, k in descending order.\nAnswer: 1, -1, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-8)\/3)\/2 + (0 - 0)?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o*o*o**(1\/3))\/(o**(-10\/7)*o) assuming o is positive.\nAnswer: o**(58\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t - 278 = 3*l, -5*t = 2*l - 36 - 237. What are the prime factors of t?\nAnswer: 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = -g**3 - 53*g**2 - 360*g - 2. Let r be f(-45). Let s = 15 + -1. What is the closest to r in -0.5, -5, s?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = a**2 - 5*a + 3. Let z(x) = -x + 1. Suppose -s = -2*m - 7, 3*s + 6 - 21 = 0. Calculate m*g(n) + 4*z(n).\nAnswer: -n**2 + n + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c - 15 = -4*b + 7, -5*b - c = -31. Let r be 81\/15 - b\/15. Suppose -3*t + 0*t - r*z + 92 = 0, -t + 4*z = -59. What are the prime factors of t?\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = 3*v**2 - 13*v + 3. Let b be l(5). Suppose -y + 6 = -b*f + 11*f, -4*f - 12 = 5*y. What is the third biggest value in 0, f, 18?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 14859?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = a - 8. Let y(l) = 10*l - 74. Calculate 5*c(j) - y(j).\nAnswer: -5*j + 34","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(1 + (-5 + (sqrt(272)*1)**2*1 - (sqrt(272) + -2*sqrt(272) + -5)*-1)).\nAnswer: -263 + 4*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is -474 less than or equal to -487?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 43\/40 and 83\/318092.\nAnswer: 3180920","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -489*b + 494*b = 0 for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 158613\/6 - 261\/58?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0 + 4. Suppose 5*l + 1 = -3*q + 3, 3*q = l - h. Suppose 3*v + 2*t - 78 = 0, 0 = 2*t + l - 7. Round v to the nearest 10.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.05747074 to three dps.\nAnswer: -0.057","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -2.3 (b) 4 (c) -2 (d) -1 (e) 113\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = 4*x - 8. Suppose r = x*r - 22. Let g(s) = s**2 - 12*s + 13. Calculate the lowest common multiple of 4 and g(r).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-9 - (11 + -2)) + 13\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-9 - (-1599)\/123)\/(31 - (-3 - -2)).\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/5 of a millennium in years?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*sqrt(3)*2 + 5 + sqrt(48).\nAnswer: 5 + 16*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -0.3 or -40532?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -0.2, -2 in descending order.\nAnswer: 2, -0.2, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 40405 is divided by 983.\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (3 - 1)\/((-14)\/(-105)). Suppose 0 = -3*f + 4*f + o. Let x = -5 - f. What is the units digit of x?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -740818 (base 9) to base 4\nAnswer: -1223132330","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 25 minutes after 2:13 AM?\nAnswer: 2:38 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is (48\/(-27))\/(-7*(-2)\/(-63))?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (10*s**3 - 15*s**2 + 15*s**2)*((-3 - 3 + 4)*(28 - 16 + 29) - 2 + 1 - 1) to the form f*s**2 + a*s + b + v*s**3 and give v.\nAnswer: -840","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -46 - -56?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p + 1 = y, -4*p + 1 = 2*y - 3. Suppose g + 3 = -2*x, -5*x = 2*g - y*g + 9. Solve 5*d - g*k = 16, 2*d + 3*k + 8 = 3*d for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -28, 3631, 4 in descending order.\nAnswer: 3631, 4, -28","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1421.07055 - 1421. What is v rounded to 3 decimal places?\nAnswer: 0.071","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 388964 to the power of 1\/10, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 2813417 and 27396?\nAnswer: 761","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 13573545 and 3619612.\nAnswer: 54294180","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 11120?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 695190 is divided by 347503.\nAnswer: 184","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 56425 and 40626.\nAnswer: 1015650","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/2, -9551, -1 in descending order.\nAnswer: 1\/2, -1, -9551","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 6\/(-16)*(-5)\/((-1050)\/40). Which is greater: z or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p\/(p\/p**(-2\/3)))**(-33))**(-33) assuming p is positive.\nAnswer: p**(-726)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m = -3*c + 8, 4 = 3*c - m + 6*m. Let w = 39 + c. What is the units digit of w?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.61 - 6.55. Let y = m + 6. Let x = y - -4.94. Put 1\/6, x, -1 in increasing order.\nAnswer: -1, 1\/6, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 + 3 + 5 + (-22 - -15).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00003335 to 6 dps.\nAnswer: 0.000033","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qrqrtrr. What is prob of sequence qt?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:28 PM and 1:54 AM?\nAnswer: 386","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = -4*j**2 + 3*j - 7. Let g(f) = f**2 - f + 1. Let v(n) = -3*g(n) - k(n). Let w be v(0). Suppose -80 = -2*a + 2*h, w = -h + 3. Is a a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -552*y - 8 = -550*y for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 1\/3 + (-24)\/(-9). Let o be -1*1*(-4 + v). Let t be (1 - o) + 589999 + 1. Round t to the nearest 100000.\nAnswer: 600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = 2*f**3 + 2*f**2 - 4*f - 2. Let c be w(-3). Let m = c - -50. Does 8 divide m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 118349?\nAnswer: 7, 11, 29, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 18623.\nAnswer: 11, 1693","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify w**(-17)\/w**(3\/19) assuming w is positive.\nAnswer: w**(-326\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = 24*h + 158. Let q(a) = a. Determine q(n(u)).\nAnswer: 24*u + 158","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort 6, -3, 17, 3, 255, -1, 5 in descending order.\nAnswer: 255, 17, 6, 5, 3, -1, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Are -22894\/23 and -994 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 + 1 + 3*u**3 - 2*u**3 + 4*u**3.\nAnswer: 5*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 19*c**3*i - 197*c*i**2 + 82232*i**2 wrt c?\nAnswer: 57*c**2*i - 197*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 14499\/7 - -9*8\/(-252). Let u = -984 + c. Is u a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = 6*u - 14. Calculate s(7).\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = 6*t - 19. Let d(i) = i. Let p(h) = 4*d(h) - q(h). Let y be p(6). Solve -5*c - 20 = y*x - 2*x, 2*x + 4*c + 18 = 0 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = -76*i - 18. Let k be u(6). Let h = -156 - k. Does 13 divide h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 23667?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 22136*l - 22141*l + 10. Which is the closest to 0.3? (a) l (b) -12 (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 t when three letters picked without replacement from {r: 7, t: 6}?\nAnswer: 10\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 o when three letters picked without replacement from oloooil?\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = 2*q**3 + 12*q**2 + 5. Let r be b(-6). Suppose r*f - 330 = -5*g, -g + 54 = -6*f + f. Does 16 divide g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 122013304 to the power of 1\/4, to the nearest integer?\nAnswer: 105","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 438 is divided by 20?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 1 - 142213?\nAnswer: -142212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = -115*d + 2. Let n be y(4). Let c be (-2)\/(-7) - n\/14. Suppose 2*k - c - 5 = 0. Is k prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 57704?\nAnswer: 2, 7213","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 55216444, 55216439, 55216432, 55216423, 55216412?\n\"Answer: -h**2 - 2*h + 55216447","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((t*t**(2\/5)*t)\/t)**(2\/81))**(-32)*(t**(-5)*t**(-8))**(-1\/59) assuming t is positive.\nAnswer: t**(-21167\/23895)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 4789 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 25572596 divided by 6393149.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Determine l so that -2*l**3\/5 + 269798*l**2\/5 - 107918*l + 269794\/5 = 0.\nAnswer: 1, 134897","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2\/2*2\/(-2)*1?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((3*sqrt(1573) + -2 - sqrt(1573)) + -1 - ((sqrt(1573) - (-1 + sqrt(1573)))*1 + 0 + sqrt(1573) + 0))**2.\nAnswer: -88*sqrt(13) + 1589","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -3 + 2. Let h = 155.121 - 0.121. Let a = 154 - h. What is the nearest to u in 0, a, 4?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 90 is divided by 16.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -k = -5*s - 13, 32*k - 31*k = s + 5 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 253*p = 1525 - 1368 + 3132 for p.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i = 3*i - 70. Does 14 divide i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -3356, -5988, -8620, -11252, -13884?\nAnswer: -16516","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -49*s - 108*s + 40*s + 351 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 13121 (base 7) to base 9\nAnswer: 4712","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 11715 divided by -2343\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 3213 and 8109?\nAnswer: 153","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9011899 is divided by 528?\nAnswer: 523","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 195646206?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 13\/4 of a meter?\nAnswer: 325","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 4683 - -1350?\nAnswer: 6143","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -144*o - 330 = -294*o + 172*o for o.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.59 + 1.29. Which is the nearest to 4? (a) 4 (b) h (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*j + 82 - 46 = 0 for j.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -c - 7959*c**2 + 7959*c**2 + c - 3*c**3.\nAnswer: -3*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:04 AM and 7:01 PM?\nAnswer: 597","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-868)\/651)\/(2\/(-6)). Solve -i*m + 5*n + 26 = -7, 2*m + n = -1 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 51886.27 - 51679. Let f = -209 + p. Let x = f - 0.27. Which is the closest to x? (a) 0.3 (b) -0.4 (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-6)\/(-3)*(365\/(-2) - 2). What is the units digit of g\/(-15) - (-2)\/5?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1\/430155111 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 382328.3 years in decades?\nAnswer: 38232.83","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -35.2 - -35.3. Which is the third biggest value? (a) 3 (b) -3.5 (c) -1 (d) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(152) - sqrt(152)*-1 - sqrt(152))*-3*4)\/((sqrt(1152) + (sqrt(1152)*3 - sqrt(1152) - sqrt(1152) - sqrt(1152)))*-2).\nAnswer: sqrt(19)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express -2 + 2 + f**4 + (2*f - 2*f - 2*f)*(796 - 796 + 2330*f**3) as j*f**4 + r + u*f**3 + d*f + c*f**2 and give j.\nAnswer: -4659","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 16.9 and 12?\nAnswer: 4.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 6343159?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -23*s - 29 = x, -9*x - 2*x - 5*s = -8*x + 23 for x.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-7)\/(-2) - (-1)\/(-2). Let b(j) = 6*j**3 + 143*j**2 - 179*j - 97. Let g be b(-25). Solve -g = -o*l + 6 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 611036746 by 4.\nAnswer: 305518373\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from oofoffddoof. Give prob of picking 1 o and 1 d.\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 5, 14, 35, 74, 137, 230, 359, 530?\nAnswer: 749","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor m**2\/8 - 7821*m\/2 + 15640.\nAnswer: (m - 31280)*(m - 4)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -89 or -87?\nAnswer: -87","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 10244118 and 552?\nAnswer: 942458856","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 7557 and 63662?\nAnswer: 2100846","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: ((-4288)\/1290 + (-11370)\/(-3411))*(-4 - -19)\nAnswer: 6\/43","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -0.2 or 437?\nAnswer: 437","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.13 + -0.07. Let b = o + -3.06. What is the closest to -0.04 in -0.3, -0.1, b?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -417 - -106. Let y = 407 + q. Is y a multiple of 48?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = -h + 1. Let v = 1 - 1. Suppose -2*l - 2 = -2*y + 18, 5*y + 4*l - 23 = v. Let f(p) = -2*p - 12*p + 6 + y - 1. Give -f(x) + 12*u(x).\nAnswer: 2*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 71.90155 kilometers?\nAnswer: 71901.55","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 11380?\nAnswer: 2, 5, 569","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = 48*g - 33. Let u(h) = -3 - 3*h + 12 - 2 - 5. Determine 2*l(v) + 33*u(v).\nAnswer: -3*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = -w**2 + 6*w - 4. Let u be b(5). Let k = u - 1. Suppose -2*c + 6*c - 32 = k. What are the prime factors of c?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x + 14 = -5*u + 3*u, -2*u + 3*x = -18. Let m(z) = 41*z + 25. What is the hundreds digit of m(u)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-11*p + 4*p - 20*p)*(-p**3 + 0*p + 0*p) - p - p**4 + p in the form m + f*p + i*p**4 + t*p**3 + r*p**2 and give i.\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 101*a - 2*a**2 + 64*a + 236*a.\nAnswer: -2*a**2 + 401*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) be the second derivative of -o**6\/15 - 3*o**5\/10 + 2*o**4\/3 + 88*o. What is x in k(x) = 0?\nAnswer: -4, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -13*q + 11*q - 6, 399 = 3*s - q. What is the greatest common divisor of 726 and s?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 55967 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b + 4*f + 167 = 181, 0 = 3*b + 3*f. Let w(u) = u**2 - u - 1. Let y(g) = -g**3 - 18*g**2 + 2*g + 2. Determine b*w(l) - y(l).\nAnswer: l**3 + 16*l**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.2594*-7.\nAnswer: 1.8158","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1146020 and 40?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Determine r so that -2*r**3\/11 - 1504*r**2\/11 - 282752*r\/11 = 0.\nAnswer: -376, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in 730.812ms?\nAnswer: 730812000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 6 + -10. Let u(q) = -2*q + 3. Let b be u(z). Suppose -2*r - 2*r + 55 = -h, -r + b = -3*h. Is r > 14?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(209) - sqrt(209)*-2 - sqrt(209))*6)\/sqrt(11))**2.\nAnswer: 2736","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3340?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-2)\/(-5))\/(23\/(-115)). Let c be (2\/1)\/i - -3. Solve r + r = c for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 26 + (-2 - (-1 + -24 - -116))\nAnswer: -67","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k\/(k*k**(-4\/7)*k)*k**(3\/2))\/(k**(-1)\/k)**(-10\/3) assuming k is positive.\nAnswer: k**(-235\/42)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -11452 + 11650. What is the tens digit of w?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) be the first derivative of 273*v**5\/5 - 2*v**3\/3 + 93*v**2\/2 - 634. Find the third derivative of m(n) wrt n.\nAnswer: 6552*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 165067 a multiple of 113?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 13640, 54693, 123114, 218903?\n\"Answer: 13684*o**2 + o - 45","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -627 + 1183. What is the remainder when j\/9 + 2\/9 is divided by 16?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 104253389 a multiple of 7456?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -18, 37, 1 in decreasing order.\nAnswer: 37, 5, 1, -18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16 = p - 4*t, -2*t = p - 7*t - 18 for p.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -3 + 21. Let v be 60\/i + 2\/3. Solve 2*z = -4*l + 3*l - 12, 4*l = v*z for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0.66 - 0.7. Is c bigger than -0.1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 250*2\/(-2)*(7 - 11)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -3*g*j**3*o + 10*g*j*o**2 + 5*g - 23*j**3 - 32*o**2 wrt g?\nAnswer: -3*j**3*o + 10*j*o**2 + 5","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = -c**2 - c - 1. Let y(g) = -g**2 + 19*g - 4. Calculate 2*u(q) - y(q).\nAnswer: -q**2 - 21*q + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7 + 15 + 0 + -17 + 66.\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*i + 19 = -23. Suppose 2*n = -i*n + 296. What is the third derivative of 7*c**2 + 22*c**4 + n*c**3 - 37*c**3 - 15*c**2 wrt c?\nAnswer: 528*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -43, -69, -113, -175, -255, -353?\nAnswer: -469","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express 7*a**3 + 0*a**2 + 3*a**2 - 4*a**2 - 25986 + 25985 in the form y + n*a + x*a**3 + w*a**2 and give w.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (30\/(-5))\/(-18) - (2 - (-875)\/15 - 8).\nAnswer: -52","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -8 - -8. Suppose c + 3*g - 5*g - 4 = p, 2*c - 8 = -3*g. Suppose m - 3 + 1 = -j, m = j + c. Solve 4*i - 2*f - 12 = m*f, 0 = f for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i*i**(-2\/5)*i*i**(-2\/27))**28\/(i**(-1\/3)\/(i*i**(6\/11)))**(-6\/11) assuming i is positive.\nAnswer: i**(681188\/16335)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of v**5 - 62*v**4 - 219*v**2 wrt v?\nAnswer: 60*v**2 - 1488*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j = -9*j + 60. Let b(y) = 5*y**2 - 6*y + 7. Let m be b(4). Suppose -u - m = -8*u. Solve 5*t + j = 4*r - 0, 3*t + u = 3*r for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 4\/31? (a) -4 (b) -1 (c) 3\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -121*l + 81*l + 39*l.\nAnswer: -l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = -84*j + 4636. Calculate m(55).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 8367 + -4076. Is j a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -16647 or -12828?\nAnswer: -16647","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 135\/36*7\/(-35)\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -445.000229 + 445. Round a to five dps.\nAnswer: -0.00023","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000139468 rounded to 5 decimal places?\nAnswer: 0.00014","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 96 is divided by 61?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert 264 (base 7) to base 16.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence sqlm when four letters picked without replacement from {m: 1, q: 5, s: 1, l: 4}.\nAnswer: 1\/396","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: ((318\/424)\/((-9)\/6))\/((-94)\/(-4))\nAnswer: -1\/47","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -7 - -9. Let u(w) = -w**3 - 7*w**2 + 10. Let h be u(-7). Solve 5*a = -2*q + 2 - 12, c*a - h = 2*q for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 4*v**2 - 1587*v - 230*v**3 + 114*v**3 - 3*v**2 + 113*v**4 + 103*v**3 + 85*v**4 wrt v.\nAnswer: 4752*v - 78","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = -h - h. Suppose 0 = -h*d + 4 + 16. What is the units digit of d?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 10182? (a) 1.4 (b) 0.5 (c) -52\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (112*l**2 - 57*l**2 - 54*l**2 - 427*l)*(-1 - l + 1) - l**2 + l**3 + l**2 + (2*l - 2*l - 3*l)*(l**2 - 3 + 3).\nAnswer: -3*l**3 + 427*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) be the first derivative of -y**3\/3 - 2*y + 12. What is j(2)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 5 + -2. Let r = 51.2 - 51.3. Suppose 0 = -j - 2*p + 6, 4*j - 2*p + 6 = -j. Which is the closest to r? (a) 0.2 (b) z (c) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(55)*-2 - sqrt(55))*6)\/(sqrt(245)*-1))**2.\nAnswer: 3564\/49","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is one fifth of a millennium in centuries?\nAnswer: 2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = q**2 - 5*q + 7. Let j be m(5). Calculate the highest common factor of 21 and j.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -54*p - 44*p - 10*p - 6*p.\nAnswer: -114*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/8 of a minute in milliseconds?\nAnswer: 22500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3*(-2)\/21*77\/55?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000021233 to seven decimal places.\nAnswer: -0.0000212","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 614*z + 1807*z + 2256*z - 1444*z.\nAnswer: 3233*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -0.18 * -48396.6\nAnswer: 8711.388","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 19944*r**2 + 30646*r.\nAnswer: 39888","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = -572*p + 4585. Give r(8).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide 1610?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 3145248922 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 0.6019724ml?\nAnswer: 0.0006019724","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (6\/3 - 8) + (-14166)\/(-2355). Which is smaller: m or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*n = -0*n + 50 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11*x**3 - 365080153*x**2 + 365080153*x**2.\nAnswer: -11*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 799979 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 6*i**4 + 765*i**3*m - 2*i**2*m + 62*i**2 + 16*i + 9*m wrt i.\nAnswer: 144*i + 4590*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 25627.1ng in micrograms?\nAnswer: 25.6271","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 5449*y**2 + 884.\nAnswer: 10898*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 226*i**3 + 212*i**3 - 437*i**3.\nAnswer: i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = -124*x + 4. Let s(h) = 1. Suppose b + 3*b + 8 = 0. Let k(r) = b*s(r) + q(r). Let i be k(-1). Calculate the greatest common factor of 18 and i.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express k - 298*k**2 - 557*k**2 - 342*k**2 - 2 + 179*k**2 in the form q*k**2 + v*k + i and give v.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -12971 + 259457\/20. Find the common denominator of (-1)\/2 + (-16)\/(-9) and f.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -2\/17, 3, -4 in descending order.\nAnswer: 3, -2\/17, -1, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = 86*u + 11. Is y(12) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = -r**2 + 5*r + 14. Let g be f(7). Suppose -l - 3*l + 56 = g. What is the highest common factor of 28 and l?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*h + 2*m = 28, 3*h - 5*m = -43 + 27 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -2*-20*(-5)\/40. Which is the closest to -4\/5? (a) 2\/7 (b) -0.5 (c) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 668841964?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 3025?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o + 2*t = 207, -4*t - 60 = o + 177. Let c = 549 + o. Suppose -7*n + c = -3*n. Is n composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -157\/517860 and -13\/2909880.\nAnswer: 61107480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = 139 - 139 + 10*t. Let w(c) = c**2. Give p(w(m)).\nAnswer: 10*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand -1 + 3*n**2 + 1 + (-2*n - 2 - 2*n + 3)*(4*n + 2 - 2).\nAnswer: -13*n**2 + 4*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 162 - 120. Let s(q) = q**2 + 3*q + 4. What is the smallest common multiple of b and s(-1)?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1.4013 - -27.8493. Round y to the nearest 10.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2\/(-5))\/((-3000)\/2500).\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 32, 64, 98, 134, 172, 212?\n\"Answer: a**2 + 29*a + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -91\/1847072 and 89\/103666916.\nAnswer: 829335328","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 12389 is divided by 896.\nAnswer: 741","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -6, 84, 5, 0 in increasing order.\nAnswer: -6, -4, 0, 5, 84","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**0\/f)**(-33)*f**8*f*f**9 assuming f is positive.\nAnswer: f**51","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = 28205 + 4*m - 28205. Let p(j) = j - 1. Let r(n) = -n + 2. Let f(v) = 2*p(v) + r(v). Let x(u) = -6*u. Let q(i) = -4*f(i) - x(i). Give q(a(c)).\nAnswer: 8*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -33*c**2 + 57*c**2 - 8397*c + 25*c**2 + 8380*c.\nAnswer: 49*c**2 - 17*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1933 + 101. Suppose -3*o + 31*f + g = 26*f, -5*o - 4*f = -3390. What are the prime factors of o?\nAnswer: 2, 3, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 7 and 28983?\nAnswer: 202881","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -2 (b) -1 (c) 0.19 (d) 2.6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3 is divided by 2\/10 - 18\/(-10).\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v - 14 = -n - v, 0 = -3*v + 15. Suppose -178 + 634 = n*g. Calculate the least common multiple of g and 66.\nAnswer: 264","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1111111111001001 (base 2) to base 11.\nAnswer: 45219","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:04 AM and 8:29 AM?\nAnswer: 505","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = -91*u - 1330. Let n be o(-15). What is the greatest common factor of n and 3276?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find j, given that -j**2\/2 - 60730*j - 1844066450 = 0.\nAnswer: -60730","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 q, 1 n, and 1 g when four letters picked without replacement from xvoqgqn?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -109*c = -107*c - 396. Let a = 778 - c. What is the hundreds digit of a?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = -5*n + 6. Let v(x) = 2*x - 3*x + 7 - 5*x. Suppose -13 + 1 = 4*w - 4*k, -4*w - k = -3. Let i(f) = -f - 6. Let c be i(w). What is c*v(t) + 7*z(t)?\nAnswer: t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 26923 and 247.\nAnswer: 247","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.29 - 0.39. Is p smaller than -1\/5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 4b95b + 4?\nAnswer: 4b962","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -0.5, -4\/77, 2\/5, -4, -0.08?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-334)\/(-2) - 4 - (-1 - -3).\nAnswer: 7, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -26 + 64 + -31 - 16 - 40.\nAnswer: -49","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.051196 and 0.094?\nAnswer: -0.004812424","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 33 + -11. Let g = 8 - 5. Suppose 6 = g*z - 18. What is the remainder when u is divided by z?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 113474, 226954, 340432, 453908?\n\"Answer: -p**2 + 113483*p - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 1, y: 3, z: 12}. Give prob of sequence ay.\nAnswer: 1\/80","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -5 + (4 + -1 - -2)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand 5*p**5 + 0*p**5 - 2*p**5 + (-3*p**2 + 2*p**2 - p**2)*(-4*p**3 + 3 - 3).\nAnswer: 11*p**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) be the first derivative of -k**7\/35 - 7*k**4\/12 - 19*k**3\/3 - 23. Let i(z) be the third derivative of m(z). Differentiate i(j) wrt j.\nAnswer: -72*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 21, -1118, 0.092?\nAnswer: -1118","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = -2*x**3 + 36*x**2 + 54*x + 94. Calculate the remainder when p(19) is divided by 101.\nAnswer: 95","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 2378 and 861082?\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3818 (base 9) to base 12.\nAnswer: -1798","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 67200 rounded to the nearest ten thousand?\nAnswer: 70000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 274848 (base 10) to base 3\nAnswer: 111222000120","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 4 - 13 + 7*m)*(2038 - 2038 + 4*m**2).\nAnswer: 28*m**3 - 60*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = 3*s**2 - 61*s + 206. What is the thousands digit of q(51)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 73\/621642 and -163\/785232.\nAnswer: 14919408","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:55 AM and 2:59 PM?\nAnswer: 244","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -e9a3c - -7?\nAnswer: -e9a35","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -2010 (base 5) in base 2?\nAnswer: -11111111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 19496569?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 52, -0.1, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2570212167?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -1590 divided by -6\nAnswer: 265","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1619083 is divided by 1235?\nAnswer: 1233","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 228953 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x = x. Let f(a) = -a**3 + a**2 + a + 8. Let p be f(0). Let k = x + p. Is 8 a factor of k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-108)\/945)\/((-24)\/(-10) + -2). Which is the nearest to -0.5? (a) 17 (b) d (c) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = -11*u**2 - 212*u + 20. Let h(w) = -8*w**2 - 207*w + 19. Calculate 3*h(d) - 2*j(d).\nAnswer: -2*d**2 - 197*d + 17","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -3.3 times -1.38\nAnswer: 4.554","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = -42*w**3 + 111*w**3 - 43*w**3 - 5*w**2 - 27*w**3 - 1. Let a be (1 + 1)*2 - -2. Let d = a + -11. Calculate s(d).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -2.1 + 13.1. Let x = -13 + o. Which is the biggest value? (a) x (b) -3 (c) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 425, 864, 1319, 1796, 2301?\n\"Answer: k**3 + 2*k**2 + 426*k - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -3 - -1. List the prime factors of 0\/n + 5 + 0.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*f**2 + 33 + 1997*f + 78 - 111 to the form s + z*f + u*f**2 and give u.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 142 and 135823.\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -20 in -0.5, 0, 2, 12\/7, 12.05?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = -2*c**3 + 46*c**2 + 52*c - 97. Let t be w(24). Let g(r) = -4*r**3 + r**2 + 2*r + 1. Let n be g(-1). Which is smaller: t or n?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 313596818?\nAnswer: 2, 1237, 126757","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -20 or 0?\nAnswer: -20","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = -x - 1. Let y(t) = -28*t - 5. Let j(a) = 5*h(a) - y(a). Let o(m) = -2*m. What is j(o(k))?\nAnswer: -46*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 333? (a) 3 (b) -12 (c) -0.2 (d) -1\/2 (e) -110\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (15*h**2 + 87*h**2 + 28*h**2 + 0*h + 0*h + 4*h**2 - 4*h**2 + 2*h**2 + 0*h**2 + (-1 + 0 + 0)*(h**2 + h**2 - 3*h**2) + h - h - 4*h**2)*(2 - 1 - 2).\nAnswer: -129*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d + 6*t + 10 = 4*t, -5*t + 23 = 3*d. Calculate the least common multiple of 12\/d + (44 - 6) and 60.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 17*j**2 + 8*j**3 - 17*j**2 + (2*j + 2*j - 6*j)*(-7*j**2 + 3*j**2 + 2*j**2) - 2*j + 2*j - 2*j**3.\nAnswer: 10*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = s**2 + s - 8. Let k be b(-4). Suppose k*r = 6*r - 54. Solve -2*i - r + 0 = 5*y, 2*y = -3*i - 13 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 25200\/(-525)*(-32)\/(-48)\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -6*b**3*f - 5*b**3*p**3 + 8*b**3*p**2 - b**2*f*p**3 - 846*b*f*p**2 + 4985*f*p**3 wrt p?\nAnswer: -30*b**3 - 6*b**2*f + 29910*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -372629*n**3 - 5587*n**2 + 73 wrt n?\nAnswer: -2235774","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w - 3*w - 3*l = 47, -3*w + l + 149 = 0. What is the remainder when w is divided by 16?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 1 + m)*(-3*m**2 + 2*m**2 - 3*m**2)*(-22*m + 13*m - 17*m).\nAnswer: 104*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -6 (b) -6\/13 (c) -0.8535\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -776530 rounded to the nearest 10000?\nAnswer: -780000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1.86 + -59.\nAnswer: -57.14","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 141879438?\nAnswer: 2, 3, 163, 199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 6970 + -5934. Calculate the greatest common divisor of 196 and z.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -1 and 3844.\nAnswer: 3843","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qqq when three letters picked without replacement from qqqqqqq?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = -w**3 + 6*w**2 + 19*w - 8. Let x(s) = s + 12. Let z be x(-4). What are the prime factors of l(z)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -4715 + 4409. Is m not equal to 8?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 304 and 28367.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 5 and 71.251?\nAnswer: 66.251","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert -10001001001000111111 (base 2) to base 11.\nAnswer: -354041","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = -10*d**2 - 4*d. Let v(n) = -19*n**2 - 7*n. Let z(w) = -11*p(w) + 6*v(w). Let s be (9\/6)\/(4\/8). Let k(a) = 4*a**2 - 3*a. Give s*z(b) + 2*k(b).\nAnswer: -4*b**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = j**3 + 6*j**2 - 5*j + 2. Let o be i(-7). What is the least common multiple of 11 and 4\/(-12) + (-76)\/o?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 508163?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 60*(30\/(-9))\/(-5)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 303\/(-33) + 14\/77. Let q be (-33)\/(c\/2 + 3). Let x = 25 - q. What are the prime factors of x?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2268103 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express (3 + 3*w - 3)*(3*w - 3*w + w**2) as s + x*w**2 + m*w + p*w**3 and give p.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 4\/10 + (-43)\/(-5). Let h(f) = f**2 - 5*f - 4. Let w be h(-1). Solve -m = w*m + n for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 51910 is divided by 12975?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 116600*(2\/(-6) + 2432\/96). What is q rounded to the nearest 100000?\nAnswer: 2900000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = 4*j - 5. Let y(k) = -9*k + 11. What is 7*t(f) + 3*y(f)?\nAnswer: f - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 1\/3, -7650, 10\/9?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*j + 3*j + 67*j**2 - 48*j**2.\nAnswer: 19*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = -c**2 + 41*c - 121. Calculate the remainder when 171 is divided by r(36).\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -34\/651 or 13642?\nAnswer: -34\/651","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000054365 to 6 dps.\nAnswer: 0.000054","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-16731)\/1014)\/((-3)\/2)?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 63733629 is divided by 1957.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 502 minutes after 1:52 PM?\nAnswer: 10:14 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -245 - -357. Let p = -107 + j. Sort p, 15, -2 in increasing order.\nAnswer: -2, p, 15","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2892*k**6 + 248*k**3*t + 2138100*k**2*t - 19*k*t wrt k.\nAnswer: -347040*k**3 + 1488*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 162 and 1901862?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 653964708?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = u + 8. Let d(s) = -2*s + 10. Let f(q) = q. Let y(j) = -4*d(j) - 12*f(j). Let t(n) = -11*o(n) - 2*y(n). Find the first derivative of t(w) wrt w.\nAnswer: -3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*u - 5*r + 72 = -5*u, 5*r = -10. Is u a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 21185001?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -808, -963, -1118?\nAnswer: -1273","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 2 - 0. Let q(j) = j**2 + 16 - 2*j - 6 - 10. Let d(l) = -2*l**2 + 5*l - 1. Determine y*d(i) + 5*q(i).\nAnswer: i**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(1\/6)\/c**(-7))\/(c**5\/(c*c*c**(-1\/4)))*((c**(-1\/11)\/c)\/((c*c*c\/((c\/(c**(-1\/9)\/c))\/c)*c*c)\/c))**(3\/26) assuming c is positive.\nAnswer: c**(5933\/1716)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 79105 = -47697*u + 48914*u for u.\nAnswer: 65","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 2728, 5370, 8012, 10654, 13296, 15938?\n\"Answer: 2642*i + 86","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -563 in 5287, -2, -2\/3, 0, -1?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -248, -247, -246, -245, -244, -243?\nAnswer: -242","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i + 22*g + 506 = 17*g, 2*g = 5*i - 1307. What is the third biggest value in 2, 0.2, i?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 82124234191 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify v**(1\/7)\/v**(-3\/4)*v\/((v*v**(3\/4))\/v)*v**(2\/7) assuming v is positive.\nAnswer: v**(10\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**2*c**(-1\/5)\/c*c**(-2)\/(c**(1\/2)*c))**(8\/5) assuming c is positive.\nAnswer: c**(-108\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*t + 3*t + t - 2 + (-4 + 1 + 1)*(-2 - 3*t + 2).\nAnswer: 10*t - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = -s**3 - 2*s**2 - s. Let z(w) = 4*w**3 + 7*w**2 + 2*w + 1. Suppose 3*d + 9 = -4*a, 5*a = 2*d + 32 - 3. What is d*x(i) - 2*z(i)?\nAnswer: -i**3 + 3*i - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 2748686 a multiple of 139?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert -30 (base 8) to base 4.\nAnswer: -120","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 2 - 3 + (-5 + 5 + 2)*(1 + 4 - 4) + 1 - 2 + 2)*(10*s - 15*s + 22 + 6*s).\nAnswer: s + 22","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 r and 2 w when four letters picked without replacement from {w: 3, r: 11}.\nAnswer: 15\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 851863.7 millilitres?\nAnswer: 851.8637","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 divided by 42992094.\nAnswer: -1\/14330698","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 2 + 0. Suppose -7*a + 11*a - 6 = l*m, -4*m = -a - 2. Suppose 6 = -a*i, 3*i - 147 = -3*p + 4*i. Calculate the highest common factor of p and 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = 6*q**2 + 6*q - 2. Let o(j) be the second derivative of -j**4\/12 - j**3\/6 + 2*j. Let c(g) = f(g) + 5*o(g). Give c(2).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 6951 - 4163. Is 60 a factor of d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + sqrt(99) + 2 + sqrt(396).\nAnswer: -1 + 9*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = 96*x**2 + 254. Let r(b) = -96*b**2 - 257. Let h(i) = 2*r(i) + 3*t(i). Find the first derivative of h(u) wrt u.\nAnswer: 192*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 134893 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = -13*g. Let i(r) = -1654087*r. Give b(i(z)).\nAnswer: 21503131*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2 or 10\/2737871?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15*t - 17*t = -14 for t.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 591, -0.4, 1, -1\/4, 2\/9, -3?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is -4 + 3 + (-2 - -1) + 1713 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2 (base 13) to base 7.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 20125?\nAnswer: 5, 7, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 873*r**2 - 2028 wrt r.\nAnswer: 1746*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 2129 - 1270. What are the prime factors of x?\nAnswer: 859","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j - 5*i = 95, -i - 140 + 33 = 5*j. Let l = 27649\/414 + -1384\/23. Calculate the common denominator of 116\/j - 1\/(-2) and l.\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = -2*i**3 + 6*i**2 + 41*i + 53. Give y(-2).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1428181 is divided by 362?\nAnswer: 91","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 7380 and 36.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-4)\/(-8) + (-35)\/(-10). Solve 3*o = -2*k - 20, -o - 32 = v*k + 3*o for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -16*h**2*q**3 - 2*h**2*q**2*x**3 + h**2 + 2*h*q**3*x**2 + 1622*q**3*x**3 + 9*q**2*x**2 wrt x?\nAnswer: -12*h**2*q**2 + 9732*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p + 32 = 2*a, -4*a = -3*p - 2*p - 12. Let y(n) = n**3 - 8*n**2 - n + 13. What is the lowest common multiple of y(a) and 6?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 797 - 265. Suppose 6*g - 2*g - m = o, 266 = 2*g - 3*m. Is g a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/507, -19\/3, -2, -3, -4 in ascending order.\nAnswer: -19\/3, -4, -3, -2, 1\/507","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*s + 2*y + 4 = 0, -4*s - 4*y = -257 + 241 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 590, 1189, 1796, 2405, 3010?\n\"Answer: -u**3 + 10*u**2 + 576*u + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f**(2\/3))**(1\/13)*f**(11\/2)*f**(-11))**43 assuming f is positive.\nAnswer: f**(-18275\/78)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = -b + 1. Suppose 3*m - 42 = -2*i, -3*m - b*i + 75 = 2*m. Let q = -7 + m. List the prime factors of q.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v\/v**(-3\/8)*v)\/v)**20\/((v*(v*v**3\/v)\/v*v)\/((v*v**(-14))\/v)) assuming v is positive.\nAnswer: v**(19\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -232*a + 235*a = 3*i + 1194, -a = 4*i - 403. Calculate the remainder when a is divided by 1.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5080092 rounded to the nearest one hundred thousand?\nAnswer: 5100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (0 + 4\/4*0)\/(-2). Is -20 bigger than h?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 s when two letters picked without replacement from {l: 2, x: 5, s: 3}.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -30 + 44. What is the highest common factor of 7 and v?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -5 - -8. Let s = 0.49 - -0.13. Let u = s + 4.38. Which is the nearest to r? (a) 2 (b) u (c) 1\/6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 87*z - 35 - 118 = -66*z for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-6)\/(-4)*110\/275*(-30)\/1?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/7 in -0.2, -49, 1, -21\/13?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.11 + 0.01. Let u = 2.9 + 0.1. Which is the third smallest value? (a) u (b) 1 (c) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10*j - 12*j - 20*j + 50*j - 15*j.\nAnswer: -7*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 2707 + (-4 - 8)*2\/6. Suppose t + 2817 = 6*r. Suppose 2*v - 84 - 1755 = y, r = v - y. Is v a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = 2*d + 1. Let v(j) = -j - 1. Let y(i) = -6*q(i) - 11*v(i). Let w be y(0). Let p = 2.02 - 0.02. Which is the smallest value? (a) w (b) -5 (c) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-5)\/(35\/30 + -2). Suppose 0 = 4*i - m*i + 10. Let g(w) = w**2 - 7*w + 5. Give g(i).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0076008 to 4 dps.\nAnswer: -0.0076","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -17*f + 23*f - 1524. What is the hundreds digit of f?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = -c**3 - 22*c**2 + 26*c - 17. Determine w(-23).\nAnswer: -86","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2\/21*33\/11*(-7)\/15?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 118\/751 less than or equal to -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 6389\/6 + -1062. Calculate the common denominator of f and (-3 - 104\/10) + 1.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*(sqrt(19) + sqrt(19) + 4*sqrt(19))*-1)**2.\nAnswer: 684","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 16853 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort 9, -31, 5.\nAnswer: -31, 5, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1235507?\nAnswer: 7, 13, 13577","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = q**2 + 6*q - 2. Determine m(-7).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -0.2 times -0.0349\nAnswer: 0.00698","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*c = -4*g + 739 - 777, -c + 42 = -4*g for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -4867, -38886, -131253, -311152, -607767?\nAnswer: -1050282","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 80094391197 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) be the second derivative of 7*m**4\/12 - 82*m**3\/3 + 69*m**2\/2 + 5270*m. Factor a(p).\nAnswer: (p - 23)*(7*p - 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 4 - 51537670?\nAnswer: -51537664","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert 113 (base 15) to base 4.\nAnswer: 3303","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 35*x - 39*x + 4 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1222660 and 91210436.\nAnswer: 456052180","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 692 minutes before 9:01 PM?\nAnswer: 9:29 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -2102014034 (base 5) in base 9?\nAnswer: -8127568","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 1 - -1010?\nAnswer: 1011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -117.032 + 0.032. Let b = -116.897 - j. What is b rounded to 1 decimal place?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 840659 a multiple of 22?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 294*y**4 + 1876*y**3\/5 + 296*y**2\/5 - 116*y\/5 - 6\/5 = 0 for y.\nAnswer: -1, -3\/7, -1\/21, 1\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round -2.3746888 to three decimal places.\nAnswer: -2.375","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = 20*k**3 + 71*k**2 + 12. Let a(r) = -9*r**3 - 36*r**2 - 6. Let x(d) = -9*a(d) - 4*z(d). Let u be x(-40). Solve -3*y - u*y = -9 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 4*f**5*x**2 - 68*f**4*x**2 - 494*f*x**2 wrt f?\nAnswer: 80*f**3*x**2 - 816*f**2*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 77 - (16\/(-4) - -6). Let s(v) = 75*v - o*v - 2*v**2. Let c(k) = 8*k**2. What is c(s(r))?\nAnswer: 32*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -6*z + 6*z + 16*z**2 + 52*z**2 to the form r*z + h*z**2 + x and give h.\nAnswer: 68","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 249 minutes after 5:49 AM?\nAnswer: 9:58 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -746, -1482, -2204, -2906, -3582, -4226?\nAnswer: -4832","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -29271779*j + 2*k + 24 = -29271790*j, -j = -4*k + 44 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3\/8 in -6, -3\/2, 0.11?\nAnswer: 0.11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -239*w + 144*w + 99*w.\nAnswer: 4*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6*y + 2*y + 2*y)*(-57 + 131 - 85 - 16*y).\nAnswer: 32*y**2 + 22*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-861)\/6*-9*(-160)\/5040.\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.024 - 0.0265. Round r to 3 dps.\nAnswer: -0.003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -186*i + 554*i - 190*i - 189*i.\nAnswer: -11*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k - 8*k = -4. Is (-3 + 390 - -2)*k a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 3 + 0. Let v(t) be the third derivative of t**6\/120 - t**5\/60 - t**4\/6 - 20*t**2. Give v(w).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = -a. Let c(y) = 15*y - 15. Let r(k) = -21 + 30*k - 6*k - 2*k. Let l(m) = -7*c(m) + 5*r(m). What is l(h) + 4*z(h)?\nAnswer: h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 3\/(-10) + (-759)\/(-230)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = 9*n**2 - 30*n - 16. Determine j(4).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -42*l = -41*l - 4. Let m be 3 - 3\/(1 + 2). Find the third derivative of -5*u**m - 735*u + 735*u - 10*u**l wrt u.\nAnswer: -240*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:34 PM and 4:24 AM?\nAnswer: 410","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:19 AM and 12:26 PM?\nAnswer: 367","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*w - 9 + 27. Suppose m = 3*r - w, 4*m = -r - 2*r - 6. Let b be 1*2*2 + -1. Solve b = -5*y - r for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 602, 1515, 2736, 4265, 6102, 8247?\n\"Answer: 154*o**2 + 451*o - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 plus -23753?\nAnswer: -23748","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (12\/36)\/(2\/6).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (2\/(-30))\/((-2)\/200*-60)\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 56 - -863. Is l a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -0.2, 0, 4\/3, -4, 8, 0.0514?\nAnswer: 0.0514","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 7ab33 (base 12) to base 6\nAnswer: 3303303","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 188563 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is one fifteenth of a week in minutes?\nAnswer: 672","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -3 - 3346?\nAnswer: -3352","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -13, -0.976, 212\/11 in decreasing order.\nAnswer: 212\/11, -0.976, -1, -13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -349e4 - -ce?\nAnswer: -34916","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y - 4 = -6*y. Suppose 4 = m - y. Let r(s) = 6 - 2 + 1 + m*s. Let a(g) = -g - 1. Determine -4*a(i) - r(i).\nAnswer: -i - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 2 + 22200?\nAnswer: 22202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = 3*h**2 - h + 1. Let q be l(1). Solve -y - 3*y - 7 = -q*i, 2*y - 2 = -4*i for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5928 is divided by 308.\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (18 + -77 - -45) + (0 - -21).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 44\/5 of a kilogram in grams?\nAnswer: 8800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 23049460?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 12249 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve j**3\/4 - 1371*j**2\/4 + 128223*j\/2 - 126854 = 0.\nAnswer: 2, 221, 1148","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort 169, 84, 4, 42.\nAnswer: 4, 42, 84, 169","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4061.524m to centimeters.\nAnswer: 406152.4","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -7196 - -7427. Solve j - p = -234 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -2.153 to the nearest integer.\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 72\/30*(7\/2)\/((-126)\/(-315)).\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 9967 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 100 a factor of 253371300?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = -d. Let s(a) = 7*a**2 - 133*a. Let y(v) = -v**2 + 2*v. Let m(i) = -s(i) - 5*y(i). Give m(t(f)).\nAnswer: -2*f**2 - 123*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -0.1, -2\/13, -25, 4\/29?\nAnswer: -25","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 572, 573, 574, 575?\n\"Answer: q + 571","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 718 is divided by 101.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = 4*g - 158. Does 2 divide g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 17841 and -4?\nAnswer: -71364","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 728?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 - (-5 + 14 + -9)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l**(-4\/11)\/l)\/l)\/(l\/(l*l**8)*l*l)*(l*l*l**(-1\/4)*l)**(-1) assuming l is positive.\nAnswer: l**(39\/44)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 215 and 10.\nAnswer: 430","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 17746386500 rounded to the nearest 1000000?\nAnswer: 17746000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 453363?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -556587, -1113174, -1669761, -2226348, -2782935, -3339522?\n\"Answer: -556587*o","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 41737?\nAnswer: 41737","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*l + 3*b + 58 = 57, -5*b = 35 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 22658, 45196, 67734, 90272, 112810, 135348?\n\"Answer: 22538*a + 120","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1129 - 1132.522. Let d = -3.53 - n. Let m = -2.4 + 2. What is the smallest value in -3, d, m?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 53424?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l + 19 = 15, -d - 3*l = -30407. Is d a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 190*w = 6075 + 385. Solve 20*h - w*h = -70 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (0 - -1)\/((-2)\/(-10)). Let q = 1.03266 + -0.53266. Which is the nearest to 22? (a) q (b) -5\/4 (c) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 26\/1256927 and 25\/48692259.\nAnswer: 1119921957","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = -5*j**2 - 4*j + 7. Let p(m) = m**2 + m - 3. Let u = -280 - -282. Let r(x) = u*p(x) + s(x). Let y be -1 - (0 + -2 + -1). What is r(y)?\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*t - 2*c - 2*c + 33, 5*c = 2*t. Let y be 1\/(11\/t - 2). Solve -y*m - 3 = 4*a + 2, -4*a = 3*m - 5 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1420 and 1820?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 70080 = -4*i + 14*i. Does 146 divide i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 114 = 208*h + 4690 for h.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -14, 2818, -4.\nAnswer: -14, -4, 2818","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = -2*t - 4. Let k be c(1). Is k\/2*(-2849)\/21 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -47\/12 and -89\/18?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = p**2 - 5*p - 2. Let n(h) = -h**3 + h**2 - 6*h - 3. What is 3*k(z) - 2*n(z)?\nAnswer: 2*z**3 + z**2 - 3*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = c**2 + 8*c + 2. Let f be d(-9). What is the second derivative of -4 - 7 - 13*w**2 - w + f wrt w?\nAnswer: -26","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (q - 3*q + 0*q)*(-2*q**3 + 2*q**3 + q**3) + 3*q**4 - 3*q**4 - q**4 + 3764*q**4 - 7882*q**4 + 2739*q**4.\nAnswer: -1382*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 131.16 - 132. Round o to 1 dp.\nAnswer: -0.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -59933, -97657, -135381, -173105, -210829, -248553?\nAnswer: -286277","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -3 (b) 2\/5 (c) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Does 473 divide 704297?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2 + 5*c**2 - 11*c**2 + 4079*c**3 - 11*c**2.\nAnswer: 4079*c**3 - 17*c**2 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 224331 (base 6) in base 12?\nAnswer: b0a7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2913, -6, 11, 0.5.\nAnswer: -2913, -6, 0.5, 11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -19734 = -7791*a + 8077*a for a.\nAnswer: -69","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 7528 and 50?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = p**3 - p**2 + 2*p - 2. Determine i(3).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = 5*d**2. Let u be c(-1). Factor -2*w**2 - 3*w - 4*w + u*w + 2*w**4 + 3*w - w**5.\nAnswer: -w*(w - 1)**3*(w + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 7052\/(-8815)*20\/14*2\/(-12).\nAnswer: 4\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*i**2 + 0*i**2 + 2*i**2 + (63 - 32 + 121)*(-5*i + 5*i + 3*i**2).\nAnswer: 454*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = -m. Let q(f) = -6*f**2 + 24*f. Let z(h) = 72*o(h) + 3*q(h). Let d = 15 + -13. Let b(p) = 7*p + 5*p + 2*p**d - 12*p. Give b(z(x)).\nAnswer: 648*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/152911, -3, 0.5.\nAnswer: -3, 2\/152911, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -210 + 1261?\nAnswer: 1051","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 3798 to the power of 1\/2, to the nearest integer?\nAnswer: 62","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -41\/80544 and -77\/96.\nAnswer: 80544","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 5 - 8 - (0 - 2). Let w = 13 + j. Solve -w = 3*t, 3*t + 11 = 5*d - 16 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -3, -5, -62, 6, 111 in increasing order.\nAnswer: -62, -5, -3, 4, 6, 111","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -13\/138768 and 65\/882168.\nAnswer: 12350352","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 1\/6, -2, -2\/7, -3, 3\/158?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) be the third derivative of -53*p - 1\/30*p**5 + 1\/6*p**3 + 1\/24*p**4 + 2*p**2 + 0. Let f(c) = 0. What is c?\nAnswer: -1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -38 and -6129666321?\nAnswer: 6129666283","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(sqrt(153) - (2 + sqrt(153) - sqrt(153)))**2.\nAnswer: -942 + 72*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3845.\nAnswer: 5, 769","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = 4*h**2 + 3*h - 2. Suppose -2*o - 2*o = 36. Let p = 6 + o. What is the remainder when m(p) is divided by 13?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1973 + -1983.87. Let w = m - 0.13. Let h = -10.7 - w. Which is the nearest to -3? (a) -0.5 (b) 0.02 (c) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 189 = 12*q + 153. Suppose q*d = -i - 3, -4*i - 30*d + 39 = -35*d. Calculate the highest common factor of 6 and i.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -340242732 by -609754.\nAnswer: 558","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -6 - 1aa63?\nAnswer: -1aa69","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-1)\/(-3))\/(3\/27). Solve f*t - 2*t + 18 = 5*o, -12 = 4*t for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-7*m + 132 - 67 - 66 - m**2)*(-9 + 11 - 8) to n*m + o*m**2 + w and give n.\nAnswer: 42","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 369 in 0, 5, -3, 1, -338\/3?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -1*(4\/1 - -1). Let o = -1 - i. Suppose 2*y + 4*b + 34 = o*y, -b = -5*y + 121. List the prime factors of y.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 685 minutes after 4:39 AM?\nAnswer: 4:04 PM","meta":{"dup_signals":{},"source":"measurement__time_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: Collect the terms in -2*u**3 - 812 + 0*u**3 + 1610 - 798.\nAnswer: -2*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 0, 5, -1, 1147, -3 in descending order.\nAnswer: 1147, 5, 1, 0, -1, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3993 is divided by 24?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 14\/2 + 1\/(-1). Let n(u) be the third derivative of u**5\/60 - u**4\/6 + 14*u**2. Let g be n(f). Calculate the greatest common divisor of g and 3.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 11\/6 + -5\/3. Let u = -0.4 - -0.43. What is the nearest to 2\/3 in u, d, 2?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:06 AM and 12:37 PM?\nAnswer: 631","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*p - 2*s - 2 - 6, 4*p + 5*s = 26. Suppose p*h = 75 + 69. Is 6\/h + (-11657)\/(-12)*2 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(18)\/(sqrt(72)\/(1*sqrt(8)))*2.\nAnswer: 2*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*g + 2*g - 4*v - 72, 22 = -3*g + 5*v. What is g rounded to the nearest 10?\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1.1 or 0.244?\nAnswer: 1.1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -4 and 384001.\nAnswer: -1536004","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 less than 298\/44241?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is (-858590)\/44796 - (2\/(-12) - 0)?\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v + v - y - 110 = 0, -3*v + 5*y = -44. Let u = 12 + -7. Suppose -u*d = 4*q - 56, -3*d = -d - 2*q - 8. Calculate the remainder when v is divided by d.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1386039683?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: (130\/(-2080))\/(2\/(-32))\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ts when two letters picked without replacement from {g: 4, t: 3, b: 3, s: 1}.\nAnswer: 3\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2237 = -285*k - 4033 for k.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 0.013 (b) -1 (c) 3 (d) -1\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = 40*w - 10 + 42*w - 83*w. Let k(h) = -12*h - 5. Calculate the lowest common multiple of q(-13) and k(-4).\nAnswer: 129","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 21.2 - 13. Let v = n + -0.6. Let r = v + -8. Which is the second biggest value? (a) r (b) 3 (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-34)\/(-102)*378\/399?\nAnswer: 6\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 194, 765, 1714, 3041, 4746, 6829?\nAnswer: 9290","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x**2\/4 + 16633*x\/2 + 1030285\/4 = 0. Calculate x.\nAnswer: -33235, -31","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m + 1 = -0*m. Suppose r - 1 - 3 = 0. Calculate the least common multiple of r and m.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 14425?\nAnswer: 5, 577","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -9 (b) 10 (c) -4\/21 (d) 145 (e) 2\/35 (f) -0.4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*(-1*-2*sqrt(72)*2 + -5*sqrt(72)*-1 + 0))**2 + -1.\nAnswer: 23327","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -68152, -68144, -68130, -68110?\n\"Answer: 3*r**2 - r - 68154","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 994513519 is divided by 28?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 57\/3*(-1 + 2). Let f = j - -10. Suppose -2*b + f = -7. Calculate the remainder when 53 is divided by b.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 113953 and 4400459?\nAnswer: 1561","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0002272012477 rounded to five dps?\nAnswer: 0.00023","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 4649 times 0.1\nAnswer: 464.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*a - 4*f = 25 - 1, -28*f + 33*f = 11*a - 7*a + 60 for a.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = -191*l - 3161. What is o(-29)?\nAnswer: 2378","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 107379?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 206479832?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 131415432?\nAnswer: 2, 3, 5475643","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 47, 0.2, 0.297, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 42*c**2 - 12*c + 42.\nAnswer: 84*c - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6\/(1*-9 + (-14 - (-776)\/24))?\nAnswer: 9\/14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = -4*y + 37. Does 40 divide b(-8)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (4 - (-5)\/5)\/1. Solve 2*c + c = 5*z - 25, m*c + 35 = 5*z for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = -4*k + 3. Let u be g(4). Is u greater than -14?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = 18*h**2 + 6*h + 14. Suppose -19 = 2*k - 11. What is the units digit of u(k)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.5 and 221555.\nAnswer: 110777.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = t**3 + 1. Let b(y) be the first derivative of 9*y**4\/2 + 15*y - 19. Determine b(z) - 15*f(z).\nAnswer: 3*z**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*a - 13 = -4*a - w, -4*w = -4*a + 8 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Do -44 and -47 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 27 and 882.\nAnswer: 2646","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = x**2 + 3*x - 4. Suppose -1 = -a - 5. Let k be f(a). Suppose k = 4*m - 30 - 6. What is the greatest common divisor of m and 72?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3816 is divided by 98?\nAnswer: 92","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = 8*l - 4*l**2 - 14*l + 9*l - 5 - l**3 - 1. What is the least common multiple of i(-5) and 14?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 121010?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) be the second derivative of o**3\/3 + 7*o**2\/2 - 16*o. Let y be (-2 + (-4)\/3)*225\/(-150). Give g(y).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d - 34 + 14 = -4*u, d + 3*u = 3. What is the least common multiple of d and 7?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = -91*j**2. Suppose 0 = -4*t - 1 + 9. Let u(p) = -109 - t*p**2 + 109. What is r(u(f))?\nAnswer: -364*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + (-1 + sqrt(80))**2.\nAnswer: -8*sqrt(5) + 84","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.37 - -0.17. Which is greater: g or -5?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 858 and 1782?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 964, 973, 980, 985, 988, 989?\nAnswer: 988","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -3259022 less than -3259022?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -0.16 and 0.0228?\nAnswer: 0.1828","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 19842 divided by 5\nAnswer: 19842\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = 3*s + s. Let h be (20 - -23)\/(s\/(-4)). Suppose 0 = 5*c + 20, 7*c - h = -o + 9*c. What is the tens digit of o?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) be the second derivative of -l**3\/6 - 25*l**2\/2 + 8*l. Let o be y(-28). Solve o*s - 13 = j - s, j = -5*s + 5 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1728, 2425, 3566, 5133, 7108?\nAnswer: 9473","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z*z\/z**(-7\/4))**(-22\/9)\/((z**16*z*z)\/z**(6\/5)))**(2\/17) assuming z is positive.\nAnswer: z**(-779\/255)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Total of -0.0383 and -2445.\nAnswer: -2445.0383","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8837 is divided by 20.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 283*d = 289*d - 24. Solve 8 = -d*v - 4 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence id when two letters picked without replacement from {w: 4, i: 1, t: 4, d: 3, m: 2}.\nAnswer: 3\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = 3*b. Let i(r) = r**2 - 2*r + 10086791. What is i(x(g))?\nAnswer: 9*g**2 - 6*g + 10086791","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*6*sqrt(33)\/sqrt(3) + sqrt(88)\/(sqrt(8) + sqrt(72)*1).\nAnswer: 145*sqrt(11)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 47587426?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z*z*z\/(z\/z**(2\/3))*z)**(12\/11)*(z*z**(-6))\/z*z*z**7 assuming z is positive.\nAnswer: z**6","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -29*a**2 + 0*a + 0*a.\nAnswer: -29*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -b + 3, 2*d - 112*b = -110*b - 12 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -31 + (2 - -16) + (30 - 19 - 22) + -7?\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -247780, -247775, -247770, -247765, -247760?\n\"Answer: 5*w - 247785","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 110424387*n*p**4 - n*p**2 - 6*n*p + n + 646*p**2 + 12*p - 3 wrt p?\nAnswer: 2650185288*n*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 2\/15 (b) 0.1 (c) 0.11 (d) 2\/11\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*x**2 + 3*x**2 - 6*x**2)*(-3*x**2 - 3*x**2 + 15*x**2) + (4 - 6 + 1)*(x**4 - 3*x**4 + x**4).\nAnswer: -26*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h + 5 = -5*g, 4*h + 3*g + 0*g + 3 = 0. Suppose 4*s + 14 + 46 = h. Let c = s + 32. Does 12 divide c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23*j + 46*j = -92. Let r = 1349 - 654. Is 1 + r - (j - -2) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 19270 to the power of 1\/3, to the nearest integer?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 v and 1 p when two letters picked without replacement from {p: 2, v: 3}?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 90 is divided by 44?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 61770 is divided by 675.\nAnswer: 345","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 1306 times 7222\nAnswer: 9431932","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = y. Let r(p) = -78*p. Let g(c) = r(c) + 104*t(c). Let j(s) = 2*s**2. Determine j(g(h)).\nAnswer: 1352*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -230 (base 4) in base 8?\nAnswer: -54","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 29357\/20 - 1470. Let b = -8921589\/2287 - -3901. Let p = 38915\/41166 + b. What is the common denominator of d and p?\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vkk when three letters picked without replacement from {v: 5, j: 1, t: 1, c: 3, q: 1, k: 3}?\nAnswer: 5\/364","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*h = -15*f + 18*f - 51, -7*f + 0*h + 175 = 21*h for f.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: (-14818)\/(-1673) - (-1)\/7\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = 5*m**2 - 2*m + 11. Let x = 4 - 11. Let o(f) = 5 - 58*f + 2*f**2 + 27*f + 30*f. Determine x*o(v) + 3*p(v).\nAnswer: v**2 + v - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*v + 2*v + 3*v + 2*v**2)*(3*v - 9*v - 10*v).\nAnswer: -32*v**3 - 32*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert a77 (base 12) to base 4.\nAnswer: 113323","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -100002 + 12?\nAnswer: -22220","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -21.3 and 21862.\nAnswer: -465660.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 138253 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*k + 225 = -2*k. What is the units digit of k?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = x - x - x + 0*x. Let c(i) = i. Let a(d) = -7*c(d) - 6*z(d). Let p(j) = -j + 2*j + 2*j. Determine p(a(u)).\nAnswer: -3*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 63647 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 28 divide 7072?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-981)\/(-2289) - -129*(-55)\/315*-3.\nAnswer: 68","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -60*n + 66*n + 6 = 0 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Does 126 divide 1554907?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1591 to the nearest integer?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 3522 and 388304022.\nAnswer: 3522","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 390871745?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = -23*t**2 - 1589*t - 154. Calculate h(-69).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 404 + -235. Let x = -93 + f. List the prime factors of x.\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 36?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 14274 to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 64 divided by -8.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*q**3 + 27*q + 6*q**4 + q**2 - 30*q - 2*q**2 - 7*q**4 to the form t*q**3 + y*q + a*q**2 + n + g*q**4 and give a.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 121 + -121. Suppose -13*g + 9*g + 48 = v. Calculate the smallest common multiple of 16 and g.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:52 PM and 2:51 AM?\nAnswer: 539","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*g**3 - g**3 - 5*g**3)*(2*g**2 + 0*g**2 - g**2) + (2*g**2 - 2*g**2 - 2*g**2)*(2*g**3 - 2*g**2 + 2*g**2).\nAnswer: -14*g**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -182, -598, -1290, -2258, -3502, -5022?\nAnswer: -6818","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -4*(9*2\/12)\/((-4)\/(-16)*-204)?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*m + 77733 = -5*d + 77772, 0 = 4*m + 3*d + 15 for m.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 4 + -28966?\nAnswer: -28962","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6746413 = 26*h + 87029291. Let u = 1777803 + h. What is u rounded to the nearest 1000000?\nAnswer: -1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a - 4 = -v + 8, 4*v + 5*a - 53 = 0. Suppose 7*l - 3*l = -24. What is the lowest common multiple of v and (9\/(-6))\/(1\/l)?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*i - 97 = -i. What are the prime factors of i?\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 - 2 - 2)*(0 + 0 + z)*(z - z - 2*z)*(2 - 2 + z**2).\nAnswer: 14*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1 - -1. Let v(l) = -d - l - 2*l**3 - 2*l**2 + 3*l**3 + 3*l. Is v(2) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y + 25 = -2*h, -3*y - 3*h = 10 - 4. Let g(b) be the third derivative of b**5\/4 + 25*b**4\/24 + b**3\/2 - 15*b**2. Is g(y) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = -105*t**2 + 2416*t - 27. Calculate y(23).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -16323893, -16323892, -16323891, -16323890, -16323889?\n\"Answer: r - 16323894","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 37432584 divided by 2673756.\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort 7, 3952, -10 in descending order.\nAnswer: 3952, 7, -10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 12386 is divided by 155?\nAnswer: 141","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 7984?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 11 + 2 - (-1 + 0). Let w be p\/4*21\/49. Which is the third biggest value? (a) -2 (b) -5 (c) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -4.132 - -0.132. Suppose 4*z + 2*g = z + 8, 0 = 4*g + 8. Which is the second smallest value? (a) 2\/5 (b) p (c) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = 2*d - 3, 3*d - 1 = y. Suppose 5*g + 36 = -y*s + 380, -3*g = s - 206. Does 17 divide g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + (-3*(0 + sqrt(7)) + -2)**2 + 4.\nAnswer: 12*sqrt(7) + 67","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 56257?\nAnswer: 101, 557","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 188912?\nAnswer: 2, 11807","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-12)\/(-1408)*12)\/((-6)\/4). Do y and -0.2 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 2317, 6464, 10611?\n\"Answer: 4147*x - 1830","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*(((sqrt(325) + -3 + sqrt(325) + -1 - sqrt(325))*-5 - -4*(2 + -1 + sqrt(325))) + 4))**2.\nAnswer: -280*sqrt(13) + 1109","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 62*p - 57*p. Solve -5*k - 1 + 6 = p for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -3258, -6566, -9874, -13182, -16490, -19798?\n\"Answer: -3308*t + 50","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -l - 2*q - 1, 3380*l - 3385*l = 2*q - 11 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = u**2 - 6*u + 8. Let b = -17 - 11. Let p be b\/(-3) + (-4)\/12. Let m be -6*(-6)\/p - -2. What is d(m)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1 + -2 - -2 - 5) + 3.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = -16*h - 6. Calculate b(-3).\nAnswer: 42","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify m**(-1\/2)\/(m\/m**10*m) assuming m is positive.\nAnswer: m**(15\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round 199212.3 to the nearest ten thousand.\nAnswer: 200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 70 and 50?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = -i**3 + 34*i**2 - 127*i + 9. Let b be d(4). Let m(l) = 13*l**2 + 6. Let y(h) = 38*h**2 + 19. Determine b*m(k) + 6*y(k).\nAnswer: -19*k**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a - 5*v = -115, a + 2*a = 2*v + 59. Suppose 3*x - a = -0*x. Let o = x - 3. Solve -5*h - o*t = 2, 0*t + 5*t + 23 = 4*h for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = j**2 + 5*j - 14. Let x be g(-7). Let o be (x + -1)*(-13)\/5. Is o bigger than -1\/3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*a = a - 8*b - 4547 + 4481, -4*a + 5*b = -32 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let -w**4\/9 - 278*w**3\/3 + 93*w**2 + 1670*w\/9 = 0. Calculate w.\nAnswer: -835, -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Divide 0 by -56.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 3\/32 of a gram?\nAnswer: 93750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 8\/13 - 66\/65. Which is bigger: -3 or y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) be the second derivative of -k**6\/30 + 13*k**5\/20 + 77*k**4\/6 + 177*k**3\/2 + 13*k**2\/2 - 647*k - 2. What is the second derivative of c(n) wrt n?\nAnswer: -12*n**2 + 78*n + 308","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*v + 0*v + 0*v)*(v - 2 + 2)*(-2110*v + 2 + 2137*v + 1)*(-v + 2*v + 3*v).\nAnswer: 216*v**4 + 24*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*b + 25 = 5*b. What is the smallest value in b, 0.4, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = 11*v - 86. Let b be s(8). Suppose -b*a + 3905 = -1629. Is a prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 292?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-201)\/6*-31)\/(-2). Let x = t + 523. Find the common denominator of 61\/12 and x.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1110010110101000 (base 2) to base 16.\nAnswer: -e5a8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 15809, 17153, 18491, 19823, 21149?\n\"Answer: -3*n**2 + 1353*n + 14459","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*o**3\/7 + 15*o**2\/7 + 72*o\/7 + 55\/7 = 0 for o.\nAnswer: -5\/2, -1, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 4889, -8, 10, -11 in decreasing order.\nAnswer: 4889, 10, -2, -8, -11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -7*f - 214 + 207. Let n = -3 - 0. Which is the closest to f? (a) 4 (b) -2\/5 (c) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -7\/5, -18167, -0.3, 0.081?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 516\/1855 - -2\/265. Suppose -3*n - 45 = -0*n - 3*r, 3*r - 12 = 0. What is the third smallest value in n, -0.2, p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -14745055 divided by -2949011?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.1 and 0.028?\nAnswer: -0.0028","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 45\/28076146 and -41\/7582.\nAnswer: 28076146","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2*2285.\nAnswer: -4570","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a - 5*h = -20, -a + h = 5 - 1. Suppose -5*s + 10 = 0, a = 2*l - 3*s + 4*s - 4. Let q be l\/(2 + 3\/(-3)). Is q at least as big as -1\/4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:04 PM and 9:19 AM?\nAnswer: 675","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 6733 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u + 5*t + 93 = 0, t + 162 = 2*u - t. Solve 5*f = 3*p - 6, -u*p + 73*p = 3*f - 10 for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (0 + 14)\/((-2)\/(-5680)*-4). List the prime factors of 3 - 1 - (o\/(-7))\/(-4).\nAnswer: 3, 7, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -1b - a18da?\nAnswer: -a1906","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = 3*s**2 - s - 9. Suppose 2*d - 2*z + 10 = 3*d, -3*d + 23 = -z. Suppose -x + d = -4*w, 2 = x + 5*w + 30. Is i(x) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -7.6 and 4.6.\nAnswer: -34.96","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1477924 divided by -5.\nAnswer: -1477924\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -20 or -165\/8?\nAnswer: -20","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 23571 is divided by 40.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*p = -7*p - 10. What is the greatest common divisor of p and 4?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3320334927 a multiple of 819?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 45798 divided by 3?\nAnswer: 15266","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) 0.2 (b) -689.2 (c) 5 (d) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 78.4 - 99. Let o = -29.7792 - -50.355. Let r = b + o. Round r to 3 dps.\nAnswer: -0.024","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -38782.1077 - -38784. Let q = 1.9 - m. Round q to 3 dps.\nAnswer: 0.008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from uduyz. Give prob of picking 1 d and 1 z.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 8a (base 11) to base 10\nAnswer: 98","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f = -61 - 11. Calculate the remainder when 69 is divided by f.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 15.6952+-2\nAnswer: 13.6952","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a**0)**(1\/79))**(-4)*((a\/(a\/((a*((a**(-1\/10)\/a*a)\/a)\/a*a*a)\/a))*a)\/a**(-6))\/((a\/a**(3\/7))\/a**(4\/7)) assuming a is positive.\nAnswer: a**(69\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find q, given that 2*q**2\/3 - 10612*q\/3 = 0.\nAnswer: 0, 5306","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -12\/3355 or -0.8?\nAnswer: -12\/3355","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 288 and 4788.\nAnswer: 38304","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -72 or -73?\nAnswer: -72","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(102) - (sqrt(102) + 2*sqrt(102) + sqrt(102)))*-2)\/(-2*sqrt(6)*-4).\nAnswer: 3*sqrt(17)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -33 + 1500?\nAnswer: 1423","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5*c - 2 - 1 + 2*c**3 - 2*c**3 - 6*c**3 + 7*c**3 to the form w*c**3 + y*c**2 + n*c + l and give w.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 21606 + -35706. Round p to the nearest 100000.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:03 PM and 5:13 PM?\nAnswer: 10","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = -u + 1. Let d be a(0). Let v be d*11*(9 + -7). Let l be 245\/(-49) + (-2 - -249)\/1. Calculate the greatest common divisor of v and l.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = 3*a**2 - 7*a - 16. Let s be d(7). Let i = s + 594. What are the prime factors of i?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -13, -34, -81, -166, -301, -498, -769?\nAnswer: -1126","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 3\/17, 2\/3, 7, 2?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify b\/((b\/b**37*b)\/b)*b**(-10) assuming b is positive.\nAnswer: b**27","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 = -2*s - 13. Let h be (-7)\/(-14)*s\/(-1). Let f(j) = 28*j + 22. Let y(w) = 55*w + 46. Let l(a) = h*f(a) - 3*y(a). What is the derivative of l(u) wrt u?\nAnswer: -25","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -14 - (-3 - 2 - (-14 + 10)). Are k and -95\/7 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 110000100001101110011000 (base 2) to base 16.\nAnswer: c21b98","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:03 AM and 6:59 AM?\nAnswer: 56","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-z + 2 - 2)*(0 - 2 + 3) + 7 - 7 + 2*z.\nAnswer: z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 5, -0.04, -0.06, 278, 269?\nAnswer: -0.04","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0.2 (b) -11.4 (c) -0.109 (d) -2 (e) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xp when two letters picked without replacement from {h: 2, x: 2, p: 4}?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-1 + 8)*(-1 - -2). Let a(j) = 2 - 3*j + o*j + 6. Suppose 0*r + 10*r = 20. Let i(z) = -z - 2. What is r*a(d) + 9*i(d)?\nAnswer: -d - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-35)\/1*(8\/(-20) - 0). Let b be 68\/18 - k\/(-63). Solve b*o = -4*y + 8, -2*y = -2*o - 2*o - 16 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 24\/(-32) - (48\/32 + 37482\/(-8)). Calculate the highest common factor of v and 35.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (5*l + 2*l - 5*l)*(4 - 2 - 1)*(-323 - 430 + 36)*(1 - 3 + 1)*(-3 + 3 + 1) in the form j*l + k and give j.\nAnswer: 1434","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (2\/(-3))\/((-49)\/(-21)). Let p = 65\/12 - 17\/3. Put -5, p, c in descending order.\nAnswer: p, c, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3 + (0 - -1) + 5?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = w**2 - 4*w + 9. What is v(2)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -10071, -20133, -30193, -40251, -50307?\n\"Answer: p**2 - 10065*p - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-2)\/2*-1)\/((-66)\/66).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) be the first derivative of a**5\/150 + a**4\/20 + 2*a**3\/15 - 5*a**2\/2 + 3. Let g(x) be the second derivative of f(x). Factor g(v).\nAnswer: 2*(v + 1)*(v + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6476 = -7*h - 519. Suppose -13*r + 12*r = -h. Is r prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.06? (a) -6 (b) -17224 (c) -0.1 (d) -4 (e) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(4\/11)\/v**17*(v*(v\/v**(1\/7))\/v)**(-36))**(1\/16) assuming v is positive.\nAnswer: v**(-3657\/1232)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1966.8027826 - -1966.8. What is r rounded to 5 decimal places?\nAnswer: -0.00278","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3 + 42\/28)*(-4)\/6*11.\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -81, -155, -227, -297, -365?\nAnswer: -431","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = z + 9. Let s be c(-5). Suppose 30 = -s*v + 78. Let t be (v - (-2)\/(-1))\/2. Solve -b = 3*b - 5*d, -t*d = -5*b - 5 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -3 - -3.2. Let s = -0.0439 + -1.9561. Sort 5, v, s in descending order.\nAnswer: 5, v, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2283, -9169, -20651, -36735, -57427?\nAnswer: -82733","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) be the third derivative of 0*x + 0 - 1\/2*x**3 - 1\/8*x**4 - 6*x**2 + 1\/10*x**5. Let y(f) = 0. What is f?\nAnswer: -1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kt when two letters picked without replacement from kekkketkp.\nAnswer: 5\/72","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -5, -1323, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = -i**2 + 3*i - 5. Let n(a) = -a - 1. Suppose 127 = -47*u + 362. Give u*n(o) - z(o).\nAnswer: o**2 - 8*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -4 (base 9) to base 12\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11820 = 28*d - 3440. What is the units digit of d?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:59 AM and 12:41 PM?\nAnswer: 402","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c + z - 26 = 0, 4*c - z - 20 = 24. Calculate the lowest common multiple of c and 7.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7 - 2*g**2 - 7)*(-197 + 0*g - 3*g + 5*g).\nAnswer: -4*g**3 + 394*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q = 2*q + 6. Let s = 4 - 5\/2. Is q at least s?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 44882*u**6 + u**2 + u + 344 wrt u?\nAnswer: 5385840*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 15623 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.2? (a) 14 (b) -4505 (c) 7 (d) -8 (e) 2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 13 + -7. Calculate the greatest common factor of t and 12.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*v - s + 6, 5015*s = 3*v + 5013*s + 9 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2111022022 (base 3) to base 2.\nAnswer: 1011111110101011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = -3*n**2 + 166*n + 16. Let o(c) = -7*c**2 + 332*c + 34. What is 4*o(q) - 9*w(q)?\nAnswer: -q**2 - 166*q - 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 653024 is divided by 448.\nAnswer: 288","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = 3*k**2 + 8*k - 13. Let y be m(-4). Let o(p) be the third derivative of y*p**2 - 1\/8*p**4 + 0 + 0*p**3 + 0*p. Let d(x) = 2*x**2. Calculate o(d(a)).\nAnswer: -6*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 8328?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 921 to the nearest integer?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.03 and -18.2.\nAnswer: -0.546","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express 16 + 41*j - 10 - 8 as n + h*j and give h.\nAnswer: 41","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -1069*z + 369*z - 15400 for z.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = 1358*o - 19. Let l(t) = -679*t + 9. Let x(u) = 6*c(u) + 13*l(u). Is x(-2) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -37*n**4 + 4085*n**2 + 9*n - 53728 wrt n.\nAnswer: -444*n**2 + 8170","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*f + 0*f + 0*f)*(-1 - 9 + 11) in the form u*f + p and give u.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does 97 divide 5335?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -183*v**2 + 134 wrt v?\nAnswer: -366*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 28, 153, 348, 601, 900, 1233, 1588?\n\"Answer: -2*r**3 + 47*r**2 - 2*r - 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 90, 1\/8, -1.5, -43?\nAnswer: -43","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -2 + 1.8. Let c = -11\/4 - -3. Let a = 541.9 + -542. What is the closest to c in f, a, 4?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 126, 803, 2634, 6195, 12062, 20811, 33018, 49259?\nAnswer: 70110","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*i + 76 - 172 = 0. Solve -2*d - 20 = -i for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1488349900 rounded to the nearest one million?\nAnswer: -1488000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -11 and 998?\nAnswer: -10978","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 50 a factor of 39800?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) be the first derivative of z**4\/12 - 15*z**3\/2 - 71*z**2\/12 + 34*z + 2040. Factor j(f).\nAnswer: (f - 68)*(f - 1)*(2*f + 3)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0001924 rounded to four dps?\nAnswer: 0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = u**3 - 23*u**2 + 21*u + 16. Let z be o(22). Let w(v) = v**3 + 9*v**2 + 13*v + 10. What is the remainder when w(z) is divided by 17?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) be the first derivative of -f**6 - f**5 + 10*f**3 - 198. What is the third derivative of b(j) wrt j?\nAnswer: -360*j**2 - 120*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -28\/209 and 127\/190?\nAnswer: 2090","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 4 + 5 + 2\/(-1). Suppose -z*k = -4*k - 138. Is k composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-1 - -2) + -1 + -211 + 203\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 4579 to the nearest integer?\nAnswer: 68","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -18, -74, -168, -300, -470, -678?\n\"Answer: -19*j**2 + j","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 55727883 to the nearest integer?\nAnswer: 7465","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert -43322 (base 8) to base 3.\nAnswer: -220212111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4*(-4)\/(-40))\/4.\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -11 - -7 - (-4 + -3). Solve -d - 3 = -2*t, m*t - 3 = -d + 4 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -3479 + 5010. Let w = q - 882. Is w a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3845077.9 + 1.0245798.\nAnswer: 3845078.9245798","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q + n - 33 = -61, 0 = -8*q - 4*n + 308. What is the remainder when 414 is divided by q?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 q when three letters picked without replacement from qqqgqqmqqemfqoq?\nAnswer: 12\/65","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -10\/147 + 1613\/25872. Are r and -2 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11954406943 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 67\/816 and 22\/652851.\nAnswer: 10445616","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 1 + ((-4)\/2 - -1009). Suppose 22*v = 13*v + x. Is v a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1181 is divided by 5?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 293 to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -10 - (-7 + (5 - -9) - 9) - 9.\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 1835, 3667, 5499, 7331, 9163?\n\"Answer: 1832*y + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1001000 - 111111100011101001101?\nAnswer: -111111100011100000101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 6\/15 - (-6)\/10. Suppose 4 = a + w. Let m be 0 - (1*-1 + -8). Solve -3*g = -m + a for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = 14030*u**2 + 20*u - 2. Let s be p(1). Let c = 21909 - s. Is c prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -8681*c**2 + 17171*c**2 - 8938*c**2 in the form j*c**2 + v + o*c and give j.\nAnswer: -448","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 170 is divided by 5\/1 - (-120 - -39).\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -496, 5, -2631, -3 in descending order.\nAnswer: 5, 2, -3, -496, -2631","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = -i**2 - 4*i + 4. Suppose 2 = 3*r - 1, k = -r + 6. Let a(m) = 10 - 4 - k - 3. Let t(v) = 4*a(v) + 2*u(v). What is the second derivative of t(c) wrt c?\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*k = 5*k - 70. Solve 0 = -3*c - 2*a - 2 + 20, 0 = 5*c - 2*a - k for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 6298700 and 6298698 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 306021?\nAnswer: 3, 83, 1229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3406001 is divided by 268.\nAnswer: 257","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -48 + -27?\nAnswer: -75","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/5 at most -14043344?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = 14*f**3 - f**2 - 18*f + 31. Calculate the remainder when y(2) is divided by 8.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -29349, -58601, -87853, -117105?\nAnswer: -146357","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 3\/236, 18, 17\/44, 3?\nAnswer: 18","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:18 AM and 1:46 PM?\nAnswer: 688","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-18)\/(-10))\/(16\/(-80)).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-3)\/3 + -59428)\/(-12). Let z = 4963 - v. What is the common denominator of z and 346\/(-144) - (-2)\/(-9)?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 179261487 and 12.\nAnswer: 717045948","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1.2 + -0.2. Let m = -213\/4 + 53. Which is the second smallest value? (a) o (b) 3 (c) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11848 = -500*h + 3152. Solve -h*v + 29*v = -7 for v.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -160709*g*p**3 + 253*g + 13746778*p**3 wrt g.\nAnswer: -160709*p**3 + 253","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = -v**2 + 4*v + 1. Let t(d) = -6*d**2 + 8*d + 21. Calculate -2*o(u) + t(u).\nAnswer: -4*u**2 + 19","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 2*((-5)\/(-2))\/5*-2?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*c + 2*y = c - 5, 3*y + 9 = 3*c for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zhr when three letters picked without replacement from rhrhrhhhhhnhrnhrzzrh.\nAnswer: 1\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find u such that 5*u**2 - 1535*u = 0.\nAnswer: 0, 307","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 4 + (496\/(-15))\/8. Suppose 3*i - 1 = 4*r, -i = -0*r + 5*r + 25. Which is the smallest value? (a) -1\/3 (b) t (c) 0.04 (d) i\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000010247375 rounded to seven decimal places?\nAnswer: 0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(-5\/4)*y**(-2\/13)\/y)**(-5)*((y**0)**(7\/8))**21 assuming y is positive.\nAnswer: y**(625\/52)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*(sqrt(700) + 0)*-3)**2.\nAnswer: 100800","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 5, q: 1, u: 1, w: 3, f: 3}. What is prob of picking 1 c and 1 w?\nAnswer: 5\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 7\/4 - 33\/(-132). Suppose 2 = -3*o + 4*v - 0, -v = -x*o + 2. Solve 5*l - o*l - 15 = 0 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 125 - 64. List the prime factors of x.\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = 6*r**2 - 18*r - 10. What is l(3)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) be the second derivative of -3*s**6\/50 + 3*s**5\/4 - 2*s**4\/5 - 7*s - 5. Find h, given that z(h) = 0.\nAnswer: 0, 1\/3, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -13*d**3*f**2 - 13*d**2*f**3 - 2*f**3 + 335*f with respect to d.\nAnswer: -39*d**2*f**2 - 26*d*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = -p**3 - 5*p**2 + 805*p + 41. Give w(26).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*o + 4*o. Sort -0.08, o, 3, 5 in decreasing order.\nAnswer: 5, 3, o, -0.08","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 9539541, 38158135, 85855789, 152632503, 238488277, 343423111?\n\"Answer: 9539530*h**2 + 4*h + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 170365.\nAnswer: 5, 13, 2621","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.2 * 14338676.\nAnswer: -2867735.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 22*-614.\nAnswer: -13508","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 25\/2 of a litre?\nAnswer: 12500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 35338, 70524, 105710, 140896, 176082, 211268?\n\"Answer: 35186*m + 152","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 + -1 + 0 - (-7 - -10)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -4? (a) -515 (b) -5 (c) 2\/7 (d) 2\/9 (e) -6212\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 60236 is divided by 543?\nAnswer: 506","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 15 (b) -3\/4 (c) -102 (d) 20\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -116 divided by 1809.\nAnswer: -116\/1809","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n = 5*w - 242 + 204, -62 = -5*n + 4*w. Calculate the least common multiple of n and 3286.\nAnswer: 23002","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.57 + -1.43. Which is the nearest to -2? (a) 5 (b) 2 (c) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 140041 - 22224?\nAnswer: 112312","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 21048 - 126*h - 42059 + 21011.\nAnswer: -126*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 113, 97, 67, 17, -59?\n\"Answer: -u**3 - u**2 - 6*u + 121","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-3 - (-4 + 2\/6))*3. Suppose 0*p - o + 108 = b*p, 0 = 4*p - 5*o - 244. Suppose -1360 = 51*k - p*k. Is k a multiple of 33?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3135859647 to the power of 1\/7, to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 10*r + 2116*r**2 - 4830*r**2 + 94 + 748*r**2 - 6606*r**2 wrt r.\nAnswer: -17144","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) be the second derivative of -f**6\/10 - 1683*f**5\/5 - 944163*f**4\/2 - 353116962*f**3 - 297147923523*f**2\/2 + 3955*f. Find x such that q(x) = 0.\nAnswer: -561","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -88622, -177442, -266262?\n\"Answer: -88820*c + 198","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a - 20 = -8. Put 4, -5, a in descending order.\nAnswer: 4, a, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 47\/722891 and -35\/102.\nAnswer: 4337346","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 122 a factor of 363630519?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = -v**2 + 14*v - 12. Let d be f(13). Let t be (-6*d)\/(-1) + -2. What is the second derivative of -t*i**5 - i + 7*i**3 - 7*i**3 wrt i?\nAnswer: -80*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -1 + 1 + 21*a - 10*a in the form f*a + x and give f.\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 449\/5191 or 1?\nAnswer: 449\/5191","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0.83 (b) 2\/7 (c) 14\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + ((sqrt(25) + sqrt(25) + sqrt(100))\/sqrt(5) - sqrt(5) - sqrt(15)\/sqrt(3)*2))**2 + (-1*sqrt(30)\/sqrt(6) - (2 + (sqrt(45))**2)).\nAnswer: -26 - 9*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (4 + -6 - (-2 + -4 + 0 + 14)) + 105?\nAnswer: 95","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 124510239 times 0.1?\nAnswer: 12451023.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = v**3 - 30*v + 49. Calculate i(5).\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 20592814.6 rounded to the nearest 1000000?\nAnswer: 21000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {v: 4, t: 2, q: 4}. Give prob of picking 1 q and 2 t.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let -5*f**2 + 60*f - 135 = 0. What is f?\nAnswer: 3, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -19 - ((-18 - -8) + -19)\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (-71)\/(-8) + (132\/(-63) - 26\/(-273)) and 92\/1995?\nAnswer: 15960","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-15)\/(-24)*(-6)\/(-15). What is the second biggest value in 6, g, -1\/3?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3622 is divided by 3.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1315 is divided by 272?\nAnswer: 227","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 25\/198 and -82\/37059?\nAnswer: 222354","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.03 - 31715430.\nAnswer: -31715430.03","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 less than -4.62519935?\nAnswer: 1.37480065","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.064 + -8.936. Are 6 and a equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*a + 2*o - 9 = -o, 2*a + 0*a + 5 = 5*o - 23 + 6 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = 9*g. Let c(y) = 189*y**2 - 106*y**2 - 98*y**2. Calculate c(n(d)).\nAnswer: -1215*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f + 5*j - 1 = 0, -5*f = -3*f + 3*j + 1. Sort f, 3, -4 in increasing order.\nAnswer: -4, f, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = -2*c**3 - c**2 + c + 1. Let q(i) = -i - 5. Let g be q(-4). Let w be 6*(g + (-2)\/(-3)). Give r(w).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 43313 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 703 - 697.78. Let i = -10.53 + l. What is i rounded to the nearest integer?\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4538614097?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -6 + 3 - 6 + o**4 - 1 wrt o?\nAnswer: 4*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = -49*y**2 + 247*y - 12. Suppose -91*j - 4*w = -87*j - 12, -4*j - 6*w = -8. Calculate f(j).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 181585868?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 553497 and 42?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 2680629881 to the nearest integer?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = -7*q. Suppose 4*l - 150 - 37 = 5*c, -2*l = -c - 89. Let j(z) = z**2 - 43*z + 11*z**2 + l*z. Give j(d(g)).\nAnswer: 588*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = 3*s**2 + 2. Let w(a) = 3*a - 46. Let h be w(-8). Let d = h + 75. Let u(o) = 7*o**2 + 5. Give d*l(b) - 2*u(b).\nAnswer: b**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 134316302.\nAnswer: 2, 7121, 9431","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*t**3 + t**3 - 2*t**3 - 2*t**3 + 2*t**3 - 2*t**3 + (3 - t - 3)*(2*t - 2*t - t**2) - 15*t**2 + 18*t**2 - 3*t**2 + 897*t**3 - 233*t**3.\nAnswer: 665*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (12\/(-8))\/(6\/8). Let b be 68 - i\/1 - 0. Suppose -4*a - b = -706. Is a composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 26\/5 of a week?\nAnswer: 52416","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify g\/(g*g**9)*g**(-3\/5)*(g**8)**(-4\/11) assuming g is positive.\nAnswer: g**(-688\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 q and 2 f when three letters picked without replacement from ffqfqqffffqqqqqfqf.\nAnswer: 27\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) 1 (b) -17 (c) -299 (d) 3.5 (e) 14.4 (f) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*q**3 - 11*q**3 + 18*q**3)*((-1 + 1 - 2)*(2 + 1 - 2) + 3 - 2 - 3 - 2 + 6 + 3 + 0 + 1 + 0 + (-2 - 1 + 1)*(-4 - 1 + 3) + 2 - 6 + 3).\nAnswer: 70*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 + 11 + -3 + -11 + 20?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1485.\nAnswer: 3, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = 2*o**3 - 17*o**2 + 13*o - 12. Let c be k(8). Let y = -26 + c. What is the lowest common multiple of y and 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*x = -4*x - 100. Let q = 15 - x. Let c(u) = 2*u**3 + 3*u**2. Let s be c(-2). Put q, -1, s in descending order.\nAnswer: -1, s, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -109*d**2 + 109*d**2 + 8*d**3 + (-9*d + 9*d + 5*d)*(-2 - d**2 + 2) - 3*d + 3*d + 2*d**3 + (0*d**2 + d**2 - 2*d**2)*(-11*d + 9 - 9).\nAnswer: 16*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = 62218*g**2 + 3. Let h(z) = -62219*z**2 + z - 4. Let q(b) = -4*f(b) - 5*h(b). Let p be q(3). Round p to the nearest 100000.\nAnswer: 600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 32495*f**2*n**2 + 43*f**2 + 15069*f*n**2 - 5*f*n + 3*f wrt f?\nAnswer: 64990*n**2 + 86","meta":{"dup_signals":{},"source":"calculus__differentiate_test"},"subset":"dm_maths"} +{"text":"Question: Work out -17 - -1528980.625652.\nAnswer: 1528963.625652","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 231*g + 8322 - 26109 = 0 for g.\nAnswer: 77","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = -2*c**2 + 550*c - 34. Let h(b) = -b**2 + 330*b - 20. What is 12*h(n) - 7*m(n)?\nAnswer: 2*n**2 + 110*n - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p*(p*(p\/((p\/(p**(4\/5)*p*p))\/p))\/p*p*p*p)\/p)\/(((p*p**18)\/p)\/p) assuming p is positive.\nAnswer: p**(-51\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-5 + 1 - -9) + (-6 - 3).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-5 - -16) + -3 + (60 - 59).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = g**2 - 6*g + 36. Let c be o(17). Suppose 5*n - 127 = -5*k + 148, 4*n = -k + c. Does 14 divide n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 41*x - 40*x - 1 = -2 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 17 divided by -362?\nAnswer: -17\/362","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*l + 9*l + 9*l)*(-2*l**4 - 6*l**4 - 2*l**4).\nAnswer: -220*l**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 194 + -177. Suppose -r*w = -642 - 106. Calculate the remainder when w is divided by 40.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 33 (b) 2\/5 (c) -0.3 (d) -2 (e) 10\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:53 PM and 3:00 PM?\nAnswer: 67","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) be the second derivative of c**4\/12 + c**3\/6 - 39*c**2\/2 + 35*c. Let y be k(0). Let i = 62 + y. What are the prime factors of i?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-275)\/627 - (-20)\/190?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1922 not equal to 13458\/7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -541786.5033 + 117?\nAnswer: -541669.5033","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 900\/16 + (-81)\/36. Suppose -5*v + 26 = -2*l - 86, v + 2*l = 20. Suppose -v = -2*y + 86. What is the greatest common divisor of n and y?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -171, 3, -5 in decreasing order.\nAnswer: 3, -5, -171","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -71\/646 and -86\/1275.\nAnswer: 48450","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -4 + 2\/((-4)\/(-14)). Suppose -3*b + 2*n + 40 = -31, l*b - 91 = -2*n. What is the smallest common multiple of b and 33?\nAnswer: 297","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.01034807354 rounded to 7 decimal places?\nAnswer: -0.0103481","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = j + 121. Let k be z(0). Let c be 2\/8 + k\/(-4). List the prime factors of c\/(-9)*3*1.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 229?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-56)\/84)\/(40\/(-36)))\/(12\/(-60))?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -37\/60 and 254\/4*-4*(-1)\/(-24).\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-8 + 14 - -4) + -8\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 730*c - 570 wrt c?\nAnswer: 730","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:45 AM and 1:35 PM?\nAnswer: 110","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is (28\/7)\/((-1388)\/22555)?\nAnswer: -65","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -6820 + 6828. Which is the third biggest value? (a) r (b) 0 (c) -1.3 (d) 2\/15 (e) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) be the third derivative of 0*z + 1\/12*z**4 + 2*z**2 + 1\/6*z**3 + 0. Differentiate x(a) wrt a.\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o = -8*o - 2*o. Suppose q - 8*q + 3689 = o. What is the tens digit of q?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -245282826*u**3 + 2*u**2 + u + 104085810?\nAnswer: -1471696956","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 0.15993689 + 11828286\nAnswer: 11828286.15993689","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 266 minutes after 4:06 PM?\nAnswer: 8:32 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 9007 to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 20*(7 - 1339\/195). Factor -8\/3*p**3 + 0 + l*p - 4\/3*p**2 + 4\/3*p**4.\nAnswer: 4*p*(p - 2)*(p - 1)*(p + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1 - -3. Let s be (-312)\/1716*(0 - 11). Let t be ((-12)\/5)\/((-6)\/20). Solve -y*d = -t + s for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v + 109 + 119 = -t, 3*t = -v + 36. Suppose l + 2*l - 4*x = 27, 5*l + 2*x = v. Let q(h) = 3*h - 12. What is the remainder when q(l) is divided by 8?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 33*c**3 + 2*c**2 - 79*c wrt c.\nAnswer: 198*c + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -2011001122 (base 3) in base 11?\nAnswer: -29889","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y - 1 - 2 = 0. Let g be ((-4)\/6)\/(y\/(-378)). Suppose 89 - 29 = 5*z. What is the greatest common divisor of z and g?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c - 6*c = -8. Suppose -23 = -c*g + b, -4*g + 15 = 3*b + 4. Suppose 2*t - 42 = g*i + 1, -4*t + 41 = 5*i. What is the units digit of t?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 69*g + 10*g**2 + 106 - 106.\nAnswer: 10*g**2 + 69*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -5312 + 5365. Solve -48 = 5*z - r for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 h when two letters picked without replacement from mpymhmmcmmaymmpymph?\nAnswer: 1\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -2 - 1030321?\nAnswer: -1030323","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 41664\/280 + (-4)\/5. Suppose -2*o - 3*o + 170 = 0. Let g = o + s. What is the greatest common factor of g and 14?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = w**3 - 11*w**2 + 6*w + 1. Let h(i) = i**2 - i - 1. Let x be h(4). Let o be r(x). Suppose -4*z + o = -3*z. Is z a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 74 - 73.999996. What is j rounded to five decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3 + 6 - (-6 + 4)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 32 = 2*q + q + 2*u, -2*q + 5*u + 15 = 0. Let a = -536 + 546. Let h = 6 - 4. Solve -a = -4*s - h*g, 4*s - g - q = 3 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -196 times -0.4?\nAnswer: 78.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*f + 4*y - 4, 0*f = -2*f + 3*y - 5. Suppose 8 = -f*i - 4*q, -2*i + 5*i - 4*q = 28. Calculate the remainder when 63 is divided by i.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = -99*w**2 + 754*w - 866. Determine x(7).\nAnswer: -439","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 25025095*p**3 - 28684101*p**2 + 2*p.\nAnswer: 150150570","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*u + 5*u + 4*m - 19, -3*m - 17 = -4*u. Let s = 38 - 37. Which is the nearest to s? (a) u (b) -0.4 (c) -1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 16377490 to the power of 1\/2, to the nearest integer?\nAnswer: 4047","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -94348, -188683, -283018, -377353?\n\"Answer: -94335*c - 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify c**(2\/9)\/(((c*c**(-20)*c*c)\/c)\/c) assuming c is positive.\nAnswer: c**(173\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:14 PM and 6:46 PM?\nAnswer: 332","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 4610\/156847 >= 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 128313, 128310, 128305, 128298, 128289, 128278, 128265?\n\"Answer: -n**2 + 128314","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) be the third derivative of 13*w**5\/20 + w**4\/24 - w**3\/6 + 6*w**2. Let i be ((-6)\/(-30))\/(1\/5). What are the prime factors of c(i)?\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-124)\/5 - (-483)\/(-115).\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = 2*g**2 + 4*g + 2. Suppose -4*n - 2*h + 24 = 0, -5*n - 3*h = -115 + 83. Give r(n).\nAnswer: 50","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*((sqrt(315)\/sqrt(7)*5)**2 + 5 - -3*sqrt(125)*1*-2).\nAnswer: -90*sqrt(5) + 3390","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Work out -57480 - 0.02.\nAnswer: -57480.02","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 124 - 74. Suppose 2*h - 56 = -3*s - 16, -h = -4*s + 2. Put 1, s, q in descending order.\nAnswer: q, s, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -10478 + 52404\/5. Suppose a*m**2 + 0 + 4\/5*m = 0. What is m?\nAnswer: -2\/7, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = 6*p**2 + 8*p - 17. Let k(c) = -5*c**2 - 7*c + 16. What is -5*k(d) - 4*l(d)?\nAnswer: d**2 + 3*d - 12","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 y, 1 m, and 1 v when three letters picked without replacement from {m: 3, y: 2, u: 1, v: 1}.\nAnswer: 6\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f = -3*y + 73, -4*y + 114 = 2*f + f. Suppose -2*b - 5*u - 25 = -0*u, 4*b - u = -105. Let z = y + b. Is z even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 + -14 + (-8 - -11) + 32.\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) be the first derivative of -2*o**3\/3 + 3*o + 2. Let q(z) = -z**2 + 1. Let l(g) = -2*p(g) + 5*q(g). What is the first derivative of l(r) wrt r?\nAnswer: -2*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*n - 2*n + 2*n + (-1 + 1 - n)*(2 - 2 + 2))*(5*n**4 + 9477*n**3 - 9576*n**3 - 2*n**4).\nAnswer: -12*n**5 + 396*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 322 and -4?\nAnswer: 326","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 12106661?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -49 + 31 + 22 - 11*t.\nAnswer: -11*t + 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1422 - 787. Suppose -5*w - h = -10*w. Is w prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -10510500 divided by 25?\nAnswer: -420420","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 68401 and 73?\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (40*r - 178 + 178)*(1 + 1 - 13)*(-1 + 1 + 1).\nAnswer: -440*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 74 + -443\/6. Let d(n) be the second derivative of 0 + 0*n**2 + 2*n - 1\/6*n**4 + u*n**3. What is the second derivative of d(r) wrt r?\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5430 + 236.3?\nAnswer: 5666.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = 117. Let s(o) = -o + 32. Determine -3*s(l) + v(l).\nAnswer: 3*l + 21","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 153443 is divided by 1357?\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__div_remainder_test"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5257063242?\nAnswer: 2, 3, 109, 893147","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = -16*n + 3233. Let b(g) = -8*g + 1617. Let u(f) = 9*b(f) - 4*s(f). Is u(0) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = -5*d - 3 + 4 + 0. Suppose 3*l - 3*s + 6 = 0, 0 = -3*l + 2*s + 9 - 14. What is the least common multiple of 10 and v(l)?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 9 and 1395.\nAnswer: 1395","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) be the third derivative of x**5\/60 - x**4\/6 + 7*x**3\/6 + x**2. Let r(p) be the first derivative of j(p). What is r(3)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -14385231 * 0.03.\nAnswer: -431556.93","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: (-11 - 1)*(-12)\/(-24)\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g + 4*w = 3*w - 52, -4*w - 16 = 0. Let y = -14 + g. Solve 5*u + 4*v = 0, -5*v = -3*u + y*u for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 670 minutes before 12:05 PM?\nAnswer: 12:55 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -9 - -14. What is the first derivative of j*q**4 + 2 - 4*q**4 + 1 - 1 wrt q?\nAnswer: 4*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 22 - -1. Let m(y) = -4 - r*y - 1 - 1 + 15*y. Let i(s) = -s - 1. Calculate -6*i(w) + m(w).\nAnswer: -2*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -123 - -187. Let v(w) = w - z + 17 + 17 + 24. Let u(o) = o - 1. Give 5*u(q) - v(q).\nAnswer: 4*q + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 12 and 1964?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -47453332 - -15630110. Let l = w - -31823245.600097. Let k = l - 23.6. Round k to 5 decimal places.\nAnswer: 0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_test"},"subset":"dm_maths"} +{"text":"Question: Is ((-138)\/(-4))\/((-12)\/(-16)) a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5*8\/(-40) + (-101)\/((-2525)\/150)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 64783461 divided by -21594487.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k = k + 24. Let j(r) = r. Let s be j(k). Let i(q) = -q**3 - 6*q**2 - 2*q - 5. Calculate the remainder when i(s) is divided by 4.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) be the second derivative of -w**8\/560 + 11*w**7\/840 - w**6\/30 + w**5\/30 + w**3\/3 + w. Let n(r) be the second derivative of p(r). Factor n(d).\nAnswer: -d*(d - 2)*(d - 1)*(3*d - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = 4*z - 41. Let i(v) = -2*v - 7. Let x(a) = -2*a + 1. Let j be x(5). Let w be i(j). What is the lowest common multiple of 18 and p(w)?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 27\/(-6)*-20*14\/105?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 88 and 19096.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0 - -26. Let h = -5 + w. Let u = h - 13. What is the highest common divisor of 2 and u?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1100010001101 (base 2) to base 16\nAnswer: -188d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -31431002 (base 6) in base 7?\nAnswer: -10556045","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 4\/7, -1\/6, -0.5, 4, 21.2?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 48 a factor of 10256?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1 + 5. Suppose 0*b + b + r = 0. Let a be (-1100)\/(-1000) - (-3)\/(-2). Is a <= b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w - 4*w = -15. Suppose -w*b + 12*b + 15 = 0. What is the least common multiple of b and 7?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -135 = 2*a - 143 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 8*f**3 + 33*f - 33*f + (35*f**2 + 1851 - 1851)*(-2*f - 4*f + 3*f) + 9*f**3 + 20*f - 20*f to k + d*f + a*f**3 + w*f**2 and give k.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + ((sqrt(931)*1 - sqrt(931) - sqrt(931)) + -5)**2 + 4 + sqrt(931) + 0)*1.\nAnswer: 77*sqrt(19) + 961","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -167bc (base 13) in base 15?\nAnswer: -cb71","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*h**4 + 3 - 2 - 4*h**2 + 231*h - 238*h to the form q*h**3 + u*h + f + s*h**4 + n*h**2 and give f.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express 12675*t - 6123*t - 5942*t + 1 in the form x*t + u and give u.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -23602272 divided by 32.\nAnswer: -737571","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 74 (base 9) in base 4?\nAnswer: 1003","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = -a**3 + 9*a**2 + 22*a - 12. What is the units digit of q(-12)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1*(sqrt(192) + (sqrt(192) - (-1*sqrt(192) + sqrt(192))) + 2) + -1)*-1 + -4 + -2)**2.\nAnswer: 224*sqrt(3) + 817","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 19*v = 17*v - 4*x - 24, -1 = 3*v - x for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 0 - 1*(3 + -4). Solve -y - x - 3*x = k, 0 = 2*y + 4*x + 2 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 25 a factor of 98624441?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 997 + -997.7. Which is the nearest to 5? (a) 2\/5 (b) -1\/5 (c) x (d) -2\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -b + 771 + 0*b + 2*b - 721 as z + p*b and give z.\nAnswer: 50","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -161*n**5 - 4*n**3 + 33*n**2 - 1426 wrt n?\nAnswer: -9660*n**2 - 24","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 29*b**3*j**2 + b**3*j + 378*b**2*j**2 - 70*b**2*j - 24*b**2 - 4*b*j**2 + 10*b + 2*j**2 - 3*j wrt j.\nAnswer: 58*b**3 + 756*b**2 - 8*b + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 39 - 39 + 15*m.\nAnswer: 15*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -29 = 4*j + 5*p + 68, 137 = -5*j - p. Let w = -20 - j. What is the smallest common multiple of w and 3?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 16\/(32\/(-26)) + 733?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 70 + (4\/(-17 + 16) - (-1)\/((-1)\/6))?\nAnswer: 60","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = b**3 - 16*b**2 + 27*b + 19. Let v be d(14). Suppose -3*z = v*l - 1136, -z + 226 = 4*l - 3*l. List the prime factors of l.\nAnswer: 229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 4413 to the nearest integer?\nAnswer: 66","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 7931003 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25*p + 1638 = 7*p. Put p, -5, -2 in ascending order.\nAnswer: p, -5, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 91.75031 grams to kilograms.\nAnswer: 0.09175031","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 8\/36 + 3418\/9 + 2. Round c to the nearest one hundred.\nAnswer: 400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 23\/5 + -5. Is p less than or equal to 73?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (50 - 15 - 172)*(-4*u**3 - 3*u**3 + 5*u**3) to f + p*u + y*u**3 + g*u**2 and give y.\nAnswer: 274","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert -305541412 (base 6) to base 8.\nAnswer: -24217720","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 2e0064 - 0?\nAnswer: 2e0064","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s + 5*w - 4*w + 3 = 0, s + 3*w - 7 = 0. Let v(i) be the first derivative of 0*i + 1\/3*i**3 + 3 + 1\/2*i**2. Calculate v(s).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (39\/9)\/(1\/6). Let m be 54\/36 - (-2)\/4. Let n be m + (3\/9)\/((-8)\/(-264)). Calculate the highest common divisor of n and d.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8486 is divided by 568.\nAnswer: 534","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -27 + 28.4. Let z = -1.4092 + u. What is z rounded to three decimal places?\nAnswer: -0.009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:28 PM and 11:11 AM?\nAnswer: 703","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 w, 2 e, and 1 h when four letters picked without replacement from whewdwbhweewdwb.\nAnswer: 12\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) be the first derivative of 2*m**3\/3 - 11. Let p = 3 + -1. Let k(c) = c - c - p*c. What is u(k(v))?\nAnswer: 8*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: (132\/(-50))\/(-11)*9\/(162\/(-30))\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 j and 1 e when four letters picked without replacement from jejjjeqjjqjj?\nAnswer: 112\/495","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -52*l**2*t + 85*l**2 + 3*l*t**3 + 820*t**3 + 582*t with respect to l.\nAnswer: -104*l*t + 170*l + 3*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 174, 1343, 3298, 6027, 9518, 13759?\nAnswer: 18738","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ipqiz. What is prob of sequence zq?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/7 in -21, 4\/7, -545, 4\/3?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-7 + 14)*12\/(-14). Let p = o + 21. What is the remainder when 59 is divided by p?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -140 in 1969, -1\/8, 3, -0.3, 2\/21?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -43 + -65. Let q be (-3)\/t + (-4)\/16. What is the third biggest value in q, -0.5, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 x when four letters picked without replacement from xxxxxx?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*(sqrt(112) + 1 + sqrt(112)) + sqrt(112))**2 + (5*(sqrt(84) - (sqrt(84)*-2 - sqrt(84))))\/sqrt(12).\nAnswer: 380*sqrt(7) + 9097","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 68*v - 453192 + 451968 for v.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express (-5*k - k + 13*k)*(17*k + 16*k - 8*k)*(-4*k**2 + 0 + 0) as d*k + n*k**2 + l*k**3 + w*k**4 + j and give w.\nAnswer: -700","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = -1484*c - 336. Let q(a) = 31*a + 7. Let u(w) = -6*f(w) - 287*q(w). Determine u(-2).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = 22364*r + 4942454. What is n(-221)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -8629*g + 81875 + 573929 for g.\nAnswer: 76","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is (20192 - 20182)\/(9\/(-11) + 1)?\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2578757 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 939589.1ml?\nAnswer: 939.5891","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 401162924 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = -s**2 - s. Let x(z) = -6*z**2 + 5*z + 2. Let j(p) = 4*p**2 - 3*p - 1. Let y(m) = 8*j(m) + 5*x(m). What is -3*f(u) - y(u)?\nAnswer: u**2 + 2*u - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 8574?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 4*o + 0)*(15*o**2 - 9*o**2 + 19*o**2) + o**3 + 0*o**3 - 3*o**3.\nAnswer: -102*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a + 8 = -2*d, 13 - 9 = -4*d - 5*a. Solve -11 - 1 = -d*z for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -210 (base 5) in base 4?\nAnswer: -313","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: ((-50)\/(11700\/(-702)))\/(231\/1)\nAnswer: 1\/77","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-3*4\/(-6))\/1. Let z be ((2 - 2)*1)\/(-2). Let m(j) = -9*j - 323. Let x be m(-36). Put i, z, x in decreasing order.\nAnswer: i, x, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r*r**(-2\/13)*r)**(-2\/9)\/(r*r**11*(r\/r**21)\/r) assuming r is positive.\nAnswer: r**(335\/39)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 187 in 2.734, 2, -4?\nAnswer: 2.734","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -841 (b) -4\/3 (c) 1\/9 (d) -0.1 (e) 5.7 (f) 2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = m - 3. Let h be v(10). Let q(k) = -k**2 + 9*k - 9. What is the units digit of q(h)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 137567 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 257910?\nAnswer: 2, 3, 5, 8597","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 358 and 71242.\nAnswer: 358","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = 2*c**3 + 2*c**2 - 7. Let f be y(4). Let u(j) = -j + 28. Let z be u(19). What is the highest common factor of z and f?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k + 81 = 4*k. Let p = 29 - k. Suppose -5*l + 3*b = 7*b - 18, 2*b = 5*l - 36. What is the remainder when l is divided by p?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 637, 624, 597, 550, 477, 372?\nAnswer: 229","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/7, -5\/4, 5.5, 0.02, -1\/2 in ascending order.\nAnswer: -5\/4, -1\/2, -1\/7, 0.02, 5.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -59462 or -59471?\nAnswer: -59462","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*z - 443 = -1755. List the prime factors of z.\nAnswer: 2, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 933 and 9952.\nAnswer: 311","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:50 AM and 11:37 AM?\nAnswer: 647","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = p + 1. Suppose 2 = -3*m + 4*m. Let i(d) = -m*d + 1 + 2 + 0 + 5*d. What is 10*a(g) - 4*i(g)?\nAnswer: -2*g - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s = -2*b - 0*b + 12, -3*s = -4*b - 31. Let o be 2*3\/(-12) + b\/8. Let t(f) be the second derivative of -f**5\/2 + f**4\/12 + f**3\/6 + 4*f. Give t(o).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve l = -2, 2*k - 4*k = 5*l + 10 for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 1573, -3, -1, -4?\nAnswer: 1573","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = 2*y - 2 + 5*y**2 - 4*y**3 + 5*y**3 + 1. Let j be l(-4). Suppose -4*d + j*d - 147 = 0. What is the remainder when d is divided by 13?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*m + 4*m - 6*m)*(2 - 2 + 4).\nAnswer: -24*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 127 + -126. Let o = -3.5 - -3. Let j = 6 + -8. Which is the biggest value? (a) j (b) o (c) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k + 9*k - k = 0. Is -1\/245 <= k?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 101110010 (base 2) to base 6.\nAnswer: 1414","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.1126 and -7020.\nAnswer: 790.452","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 20309 and 414?\nAnswer: 365562","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5.491077 nanograms to milligrams.\nAnswer: 0.000005491077","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00270884 to 3 decimal places.\nAnswer: -0.003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 2.1 + -2.1. What is the smallest value in -4, n, 10?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3*s - s - 5*s)*(27868 - 27868 + 217*s) as d*s**2 + b + o*s and give d.\nAnswer: -1953","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: ((-235)\/47)\/((6\/(-2))\/3)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 818560 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.1 and -1833.371.\nAnswer: 183.3371","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/4 of a tonne in kilograms?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {y: 4, a: 7, v: 2, i: 2, g: 3}. Give prob of picking 1 g, 1 y, and 1 i.\nAnswer: 1\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express -o**3 + 3*o**4 + 2*o**4 - 45*o**2 + 54*o**2 - 2*o - 10*o**2 - 19*o**2 as i + u*o**3 + j*o**4 + d*o + n*o**2 and give d.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k**(5\/6)*k)\/k**(-1\/2))\/((k**4*k)\/k**(-2\/9))*(k*k**5*k**4)**(-1\/39) assuming k is positive.\nAnswer: k**(-368\/117)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*j = 3*c - 38, 0 = -4417*c + 4420*c + 5*j - 35 for c.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) be the second derivative of -289*d**5\/5 + 221*d**4\/3 + 128*d**3\/3 + 8*d**2 + 496*d. Let f(v) = 0. Calculate v.\nAnswer: -2\/17, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 + (7 + -10 - -3 - (-4 + -3))?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {t: 3, f: 4}. What is prob of picking 2 f and 2 t?\nAnswer: 18\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(396) - (1 + sqrt(396) + 0) - (sqrt(396)*-2 + -4)) + 5)**2 + 1 + 6*(4 + -2*sqrt(396)).\nAnswer: 120*sqrt(11) + 1673","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -30 + 18. Let y = -1.672 + 1.672. Which is the closest to y? (a) o (b) 1\/3 (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b - 20 = -10*b. What is the first derivative of b + 3*f + 8 - 3 + 6*f wrt f?\nAnswer: 9","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 51 - 31. Let c = -28 + y. Let z = c - -18. Solve 2*m = 4*s + 4 + 4, -z = -4*m + 5*s for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15*c - 6 = 17*c, -5*w + 3*c + 24 = 0 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -224 divided by -4?\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 1633398 to the power of 1\/3, to the nearest integer?\nAnswer: 118","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 88 minutes after 11:16 PM?\nAnswer: 12:44 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 6342762 to the nearest integer?\nAnswer: 2518","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 1 + 4*p**2 - 3*p**2)*(1347*p**2 - 2457*p + 2457*p - 1).\nAnswer: 1347*p**4 + 1346*p**2 - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.09 - 5.91. Let r = -8 - b. Let m = -1 - 1. Is m < r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -87502027.29999948 - -87502012.3. Let t = -6 - -21. Let a = t + o. What is a rounded to 7 decimal places?\nAnswer: 0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + (-4*-6*(1*-3*sqrt(300) + 3))**2.\nAnswer: -103680*sqrt(3) + 1560386","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 2 + (-6 - -3)\/3. Let v(l) be the first derivative of 4*l**3 - l**2\/2 + l + 2. What is the tens digit of v(y)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*n + 1878170*n**2 - 1878263*n**2 + 3*n.\nAnswer: -93*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -1*((-4)\/(-4) - 3). Suppose 5*r + 15 = 0, m*d - 3*d = -4*r - 83. Suppose 5*k = 34 + d. What is the highest common divisor of 3 and k?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4830571925.\nAnswer: 5, 193222877","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 52 + -33. Suppose 5*i + 2*m = k, -i = -0*i - 5*m + 7. Let p be (-4 + 3)\/(-1)*i. Solve -4*y + p = -17 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q = -4, -5*o - 5*q + 27 = 7. Find the third derivative of -c - 6*c + 37*c**6 - 98*c**6 + 5*c**o wrt c.\nAnswer: -7320*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -2 + 22641153?\nAnswer: 22641151","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_test"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 358010278?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -73*v**3 - 9*v**2 + 8*v**2 + v**2.\nAnswer: -73*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-3)\/(-2) - 5\/(-10). Suppose 3*p = 7*p, 4*x + m*p - 284 = 0. Is x prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 88 minutes before 12:44 AM?\nAnswer: 11:16 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -15*((-22)\/55)\/((-12)\/(-10)). Suppose -a*o + 2174 = 2*d, -4*o = -3*d - 5*o + 3261. Is d prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) be the first derivative of -1\/2*g**4 - 8*g + 1\/2*g**2 - 25 + 4\/3*g**3. Let z be y(2). Let i(v) = -3*v - 9. Give i(z).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -25 and -0.05?\nAnswer: 1.25","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 11 + -6. Let w(k) be the first derivative of 2*k**3\/3 + 6*k - 1563. Let f be w(g). What is the greatest common factor of f and 112?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 2092\/213 - 11\/71. What is the common denominator of w and 49\/6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-2)\/(-4))\/(6\/(-12)). What is the nearest to f in -0.1, 8, 1\/3?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -65 - (-72303)\/1419 - -14*1?\nAnswer: -2\/43","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -74 in -5, -0.4, -3?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -420 - -419.8379. Let j = 0.18 + b. Round j to 3 dps.\nAnswer: 0.018","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -2a448a + 1?\nAnswer: -2a4489","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 + (-4 - 1) - -1.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = g, -g = -5*q + 1 + 4. Let t be -9 - (0 + q)*1. Let v(o) = -o**2 - 9*o + 8. Let c be v(t). What is the closest to c in -4, 3, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -365715, -731795, -1097875, -1463955?\n\"Answer: -366080*h + 365","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -4.93 - 0.12. Let v = -0.05 - p. Suppose 3*d = 3*b - 21, -b - 3*d = -3 + 12. Put -4, b, v in descending order.\nAnswer: v, b, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 380 and 114.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = -4*u - 2. Let s(f) = f + 1. What is 10*s(z) + 5*y(z)?\nAnswer: -10*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) be the second derivative of s**4\/6 + 11*s**3\/3 + 43*s. Is f(-21) a multiple of 42?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -125\/6 and 181\/506478?\nAnswer: 506478","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:55 AM and 7:05 AM?\nAnswer: 10","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -3 - (-3 - -9) - -2. Let m(g) = -g**3 - 6*g**2 + 9*g + 3. Determine m(q).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 138.\nAnswer: 2, 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = s - 14. Suppose 2*c - 12 = -0*c. Let y(r) = -1. Let j(z) = c*y(z) - t(z). Let q(a) = 6*a. Let p be q(1). What is j(p)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:34 AM and 9:09 AM?\nAnswer: 155","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (0 - (-3)\/9)\/(3\/18). Suppose 5 = 2*d - 5, n*d = -4*x + 18. What is the derivative of x + 24 - 8*h - 14*h wrt h?\nAnswer: -22","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) be the third derivative of -b**6\/120 - 23*b**5\/60 - b**4 - 17*b**3\/2 + 31*b**2 - 20*b + 2. What is n(-22)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 67287774 to the power of 1\/8, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 51505470 and 108.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -77*i**2*t**2 - 6973*i**2 + i*t**2 - 4*t**2 + 1411*t + 186 wrt i?\nAnswer: -154*i*t**2 - 13946*i + t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) be the first derivative of -2*i**3\/33 + 135*i**2\/11 + 484. Solve h(f) = 0 for f.\nAnswer: 0, 135","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = b**3 - b**2 - 16*b + 22. Let m(s) = 187*s + 564. Let v be m(-3). Determine x(v).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (13950\/3875)\/(3\/(-20)).\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*b - 2*b - 3*b**2)*(b**2 + 3*b**2 - 5*b**2)*(902 + 29*b - 902).\nAnswer: 87*b**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 1440173069 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 150056.\nAnswer: 2, 18757","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*d + d. Suppose 0 = 3*l - 6*l - 1 + 1. Let c = d - l. Solve c*j - 3*j = 3 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = -7*m**2 + 2*m - 2*m**3 - 6*m + 4 + 2*m**2. Suppose 30*t + 3 = 33*t. Let w(z) = -z**2 - z + 1. What is t*x(j) - 5*w(j)?\nAnswer: -2*j**3 + j - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Are -86 and -86 nonequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = 4*y**2 - 19*y - 2. Let l be x(5). Let i(r) be the third derivative of r**5\/12 - r**4\/4 + 5*r**3\/6 + r**2. Is i(l) a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.81 + -0.924. Let k = -30.386 - -12.3. Let m = k + n. What is m rounded to the nearest integer?\nAnswer: -18","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4987 is divided by 161?\nAnswer: 157","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 o, 1 b, and 1 x when four letters picked without replacement from xxssoobbbxsbooxononn.\nAnswer: 16\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -91d72 (base 14) to base 4\nAnswer: -1111232200","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*m = -2*f - 21, m - 18772 + 18752 = 5*f for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express ((-4 + 6 - 4)*(1 - 3 + 1) - 2 + 4 - 5 - 1 - 1 + 4)*(4*q - 4*q - 2*q) in the form b*q + j and give b.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 7856399 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -0.0463 or 0.1?\nAnswer: -0.0463","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 261 a factor of 471651?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 30566 to the nearest integer?\nAnswer: 175","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 201\/(-5*3\/(-35))?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h + 0*n - 3 = 4*n, -h + 5*n + 3 = 0. What is the units digit of 1 - (h + 1 + -4)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*n + 2*n - 6*n)*(-27 + 105 + 97).\nAnswer: -350*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 6\/7 + -5\/14. Suppose -g - 5 = 0, 3*r + 2*r - g = -10. Let k be (1002\/(-1503))\/((-6)\/(-2)). Sort k, r, o, -10.\nAnswer: -10, r, k, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 + 3 - (3 - (0 + (-4 - 0))).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = 11*p**3 - p**2. Let y be v(1). Let k be 17\/(-35) + 2\/y. What is the second biggest value in -1, k, 1\/7?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 96\/(-120) - 453\/(-755)\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j*j*j**(1\/4))**2*(j*j*j\/(j*j\/(j*(j*j**(-2\/11)*j)\/j)*j)*j*j*j)\/j**(-6\/11))**(-35\/3) assuming j is positive.\nAnswer: j**(-7595\/66)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 33392993 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -358706 divided by -88.\nAnswer: 179353\/44","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from tujrhjjjrrhjs. What is prob of sequence hju?\nAnswer: 5\/858","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 21? (a) -2\/17 (b) -0.1 (c) -0.079 (d) -2\/19\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = -3*s + 3. Let n(c) = -10*c + 10. Let x(f) = -4*n(f) + 14*r(f). Let l be x(-2). What is the derivative of l - 1 - 1 - p**3 + 0*p**3 wrt p?\nAnswer: -3*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-15520)\/(-24832)*(-3)\/(3\/8)*3\/(-6).\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2600, 10292, 23074, 40946, 63908, 91960?\nAnswer: 125102","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7295*u**3 - 136*u - 131*u + 390*u - 123*u.\nAnswer: 7295*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 27\/1438 and -68\/15099.\nAnswer: 30198","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -2603 - 143332801?\nAnswer: -143335404","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -101*n - 2*n**3 + 101*n + (0 - 4 - 2)*(-4 + 2 + 4)*(2*n**3 - n**3 + 9*n**3) to k*n**2 + s*n + i + v*n**3 and give v.\nAnswer: -122","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2566?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 135?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 3 divided by 210\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 5 + -1. Suppose -3*y + 3*g = -y - 1, 3*y - g = 5. Suppose 5*l - y*b = -3*b + 24, b - v = 0. Solve -l = 3*z + 3*c - 22, -3*z + 11 = -4*c for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(-4*-5*sqrt(272)*-2*5 + 0 + 1).\nAnswer: -3 + 2400*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -1237 - 3002?\nAnswer: -4239","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 23 + -20. Find the third derivative of -4*g**3 + 21*g**2 - 18*g**2 + 5*g**s wrt g.\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -20 and -87\/10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 2828 + -2828. Is 1.553 less than or equal to k?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*n - 2*n + 12 = 0. Let m = n - -8. What is the units digit of m?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10 = 2*v, 2*x + 25*v = -x - 4439 + 4567 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 74361 to the nearest integer?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 2\/3 - (-830)\/15. Suppose 5*t - 2*a - g = a, 5*a - 67 = -4*t. Suppose -226 = -5*w + 229. What is the greatest common factor of t and w?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -8 + 0 - (110 - 18 - 50)?\nAnswer: -50","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h + 5*c - 67 = 0, -4*h - 2*c = -2*h - 34. Let f be h\/4*(-1)\/(12\/(-8)). Let -2\/9*l + 2\/9*l**2 - 2\/9 + 2\/9*l**f = 0. Calculate l.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q - 2*a + 169 = 0, 3*q - 507 = -60*a + 57*a. Calculate the remainder when q is divided by 29.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f = 3*f + 5. Let m(x) be the third derivative of -x**4\/8 + x**3\/3 + 4*x**2. What is the units digit of m(f)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.5 * 28404\nAnswer: -14202","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = 50*c**2 - 4*c - 3. Let f be y(-1). Let b = -41 + f. Calculate the remainder when 79 is divided by b.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -179761.8 rounded to the nearest ten thousand?\nAnswer: -180000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:45 PM and 3:00 AM?\nAnswer: 255","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -1, 8, 10 in descending order.\nAnswer: 10, 8, -1, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = q**2 + 941*q + 12981. Calculate u(-14).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.1089 + -0.1911. Which is the second smallest value? (a) 22 (b) 0.5 (c) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 183395 and 2924?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = -a**2 + a + 13. Let w(f) = -16*f**2 + 5*f - 689. Let n(l) = -5*s(l) + w(l). Differentiate n(c) wrt c.\nAnswer: -22*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -3 + 3 + -1 + -1. Sort n, 6, -1 in decreasing order.\nAnswer: 6, -1, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.0558 + -1.12509.\nAnswer: -1.18089","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 23223.03 micrometers?\nAnswer: 0.02322303","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1 + -3. Let k be ((-37)\/x - 1)*-4. Let d = 83 + k. Is d a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -984 * -12185.\nAnswer: 11990040","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 458 and 12.\nAnswer: 2748","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -164 + 170. Let g(w) = 4*w. Let u(b) = -7*b + 1. Let r(o) = 5*g(o) + 3*u(o). Calculate r(t).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 4075, 15816, 35403, 62836, 98115, 141240, 192211?\n\"Answer: 3923*b**2 - 28*b + 180","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (134\/(-603))\/((-1)\/12)?\nAnswer: 8\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -3791 (b) -1\/3 (c) -2\/3 (d) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = t + 4. Let o(z) = -1. Let k(c) = 1 + 0 - c + 2*c. Let u be k(2). Let v(q) = u*o(q) + f(q). Find the first derivative of v(d) wrt d.\nAnswer: 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 4558 - 305392\/67. Let y = a + -981\/268. Calculate the common denominator of -67\/8 and y.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-2385)\/90)\/(-1))\/((-2)\/12*-3).\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 33891257 a multiple of 61?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b - 66 = -2*b. Calculate the lowest common multiple of 72 and b.\nAnswer: 792","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -7 - -8. Which is the nearest to 0? (a) g (b) 11 (c) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 495.754 and -0.0242.\nAnswer: 495.7298","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1.091349 - -1.381349. Let u = 1 - 1.1. Let c = 0.1 + u. Which is smaller: p or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 0, 2, 4?\n\"Answer: 2*q - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = -179*z**2 + 7*z - 13. Let k(v) = -126*v**2 + 5*v - 9. Let c(l) = 5*j(l) - 7*k(l). Let n(m) = m**2 - 1. Calculate -c(h) + 2*n(h).\nAnswer: 15*h**2","meta":{"dup_signals":{},"source":"polynomials__add_test"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = -q**3 - 33*q**2 - 159*q + 105. Give p(-13).\nAnswer: -1208","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = -2*p - 4. Let h be c(-5). Suppose w + 3 = h. Solve -2*o + 13 = 3*t, 4*o = 4*t + w*o + 1 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1010011100111101101111111 - -11?\nAnswer: -1010011100111101101111100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 17372760 to the nearest integer?\nAnswer: 259","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-77)\/(-5) - 2\/5. Suppose 3*w + 4 = -5, -4*l + 2*w = -6. Solve 4*c - c + o = l for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12\/1104193 smaller than 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does 359 divide 1370975788?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = 5*f**2. Let j(k) = 11*k**2 - k. Let a(n) = -9*g(n) + 4*j(n). Suppose a(b) = 0. What is b?\nAnswer: -4, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d - 8 = -2*d. Suppose -5*f = -f - 3*b - 37, 0 = -f - 5*b - d. What are the prime factors of f?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = 2*o**2 + 2*o - 3. Suppose -1020 = -5*h - 3*x, x = 3*h + 4*x - 612. Let k = h - 207. Give v(k).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3? (a) 0.02 (b) 2\/5 (c) -1\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*b + 3*b - 33 = -5*i, -3*i = b - 15. Suppose -2*g = -b - 0. Suppose -r + g*n + 0*n + 1 = 0, 3*r = 4*n + 18. What is the tens digit of r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*y - 3 = -0*y, -27*c - 2*y = -37*c - 132 for c.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = -4*h + 3. Let c(u) be the first derivative of -21*u**2\/2 + 16*u - 1. Calculate -2*c(l) + 11*t(l).\nAnswer: -2*l + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z = -3*g + 25, -3*g + 3 + 2 = -5*z. Suppose 0 = -3*t + z + 4. What is the greatest common divisor of 1 and t?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 830345 to the nearest integer?\nAnswer: 94","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -9\/130406 and 109\/6.\nAnswer: 391218","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Divide -4 by 65.\nAnswer: -4\/65","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Work out -523335 * -178.\nAnswer: 93153630","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -113 + 115. Let r(t) = -t**2 - 6*t - 2. Let g be r(-3). Let a = -2 + g. Solve 3*p - b*p = a for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -1561, -3210, -4949, -6778, -8697, -10706?\n\"Answer: -45*b**2 - 1514*b - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-7 + 2)\/((-4445)\/(-889)).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = -11*v**2 - 13*v + 13. Suppose 3*y + 52 = -y. Let w = y - -19. Let n(c) = -5*c**2 - 6*c + 6. Calculate w*a(f) - 13*n(f).\nAnswer: -f**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 41.488 rounded to the nearest ten?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f - 2*l = -2*f + 3, 5*f - 5*l - 45 = 0. Solve f*d = 5*j + 31, -3*j + 5*j - 3*d = -16 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -59\/840 and 0\/55 + 85\/(-56)?\nAnswer: 840","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.15, 2, -1, -0.2, 10 in decreasing order.\nAnswer: 10, 2, 0.15, -0.2, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -l = -5*a - 22, 86885*a - 86887*a = -2*l + 4 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 200*y - 3935 - 7976 = 2224 + 465 for y.\nAnswer: 73","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -7*g**4 + 61425*g**3 - g**2 + 3*g - 4939 wrt g.\nAnswer: -168*g + 368550","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 42 + (17 - 16)*-11. Let m(o) be the first derivative of -1\/27*o**6 + q - 16\/45*o**5 + 0*o**3 + 0*o**2 - 8\/9*o**4 + 0*o. Let m(s) = 0. Calculate s.\nAnswer: -4, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.327940946 to four dps.\nAnswer: -0.3279","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2916, 11050, 24398, 42954, 66712, 95666, 129810?\nAnswer: 169138","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 23897 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in -7, 2\/11, -5, -2?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*d - 27 = -5*j - 15*d, -4*j - d = -16 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 516291 is divided by 166.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 9674 to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.2904943 weeks to minutes.\nAnswer: 2928.182544","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-264)\/18 - -18)\/(25\/10).\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from bbbg. What is prob of picking 3 b and 1 g?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = d**2. Let u be (3\/(-24))\/(4 + (-9)\/2). Let z(l) be the second derivative of -3*l + u*l**4 + 0*l**2 + 0*l**3 + 0. What is n(z(i))?\nAnswer: 9*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 87712030?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-6)\/(-8))\/(357\/(-14) - 3)*568\/(-2414).\nAnswer: 2\/323","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 2, 211, 2\/3?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*h + 12*h = -12. Let z be 1*h - 1220\/((-15)\/3). Suppose 5*l = -82 + z. What is the remainder when l is divided by 18?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = y**3 - 4*y**2 + 6*y - 3. What is the least common multiple of a(4) and 4?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 4603, 4616, 4645, 4696, 4775?\nAnswer: 4888","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 382885504, 382885505, 382885506?\nAnswer: 382885507","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -252197657*v**2 + 141*v + 16835?\nAnswer: -504395314","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 234214 (base 8) to base 3.\nAnswer: 11001202102","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 389603.\nAnswer: 53, 7351","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 315686?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 + (2 - 10) + 7.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = 2*b**2 - 38*b - 62. Let r be u(21). Suppose 4*d + r*d = 2600. What is the lowest common multiple of d and 10?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = h**3 + 5*h**2 - h - 21. Let q be y(-4). Put q, 160, 0.2 in increasing order.\nAnswer: q, 0.2, 160","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = -9*y - 3. Let m be i(-3). Suppose l + 2*l = m. Calculate the remainder when l is divided by 5.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1382 - 644. Is 82 a factor of p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1215 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: Evaluate -5 + 18 + -14 - -9.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -5 - 1. Let i(g) be the third derivative of g**6\/120 + 7*g**5\/60 + g**4\/6 - 4*g**3\/3 + 1771*g**2. Calculate i(r).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -2747\/14 - -196. Calculate the common denominator of 50\/9 and w.\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1350 + -1390501\/1030. Sort z, -4, -6\/5 in descending order.\nAnswer: z, -6\/5, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x - 6 = c - 3, 5 = 5*c. Calculate the smallest common multiple of x and 4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-5 - 0) + 1 - (3 - 12)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) be the second derivative of 1 - 1\/12*b**4 - 1\/6*b**3 + 1\/2*b**2 + 6*b. Let o(d) = 9*d**2 + 3*d - 3. Calculate 3*k(n) + o(n).\nAnswer: 6*n**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*a**4 - 5*a**4 + 2*a**4)*(-131 - 130 - 22*a + 259).\nAnswer: 22*a**5 + 2*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -2941, -6541, -10141, -13741, -17341, -20941?\n\"Answer: -3600*n + 659","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 2, d: 2, a: 4, p: 3}. Give prob of sequence an.\nAnswer: 4\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 q and 2 a when three letters picked without replacement from arrayqarrr.\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) be the first derivative of -15*m**2\/2 + 34. Let c(t) = t**2. Determine x(c(f)).\nAnswer: -15*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in fourty-two fifths of a gram?\nAnswer: 8400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 94 a factor of 8133?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 614140 is divided by 12281.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 464\/(-348)*34\/8\nAnswer: -17\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 1576.858 millennia in decades?\nAnswer: 157685.8","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 0.3+136436617176\nAnswer: 136436617176.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*i**4 - i**2 + i**2)*(4*i - 3*i + 0*i - 3).\nAnswer: 2*i**5 - 6*i**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = -6*p**2 - 1 + 4*p**3 - 8 - p**3 - 4*p**3. Is g(-8) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = -8*t - 6. Let o(p) = 23*p + 17. Let m(a) = -6*o(a) - 17*v(a). Let i(d) = 8*d + d + 9*d. Give i(m(n)).\nAnswer: -36*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -5 + 7. Suppose 3*p - 410 = -5*d - 2*p, n*d - 199 = 5*p. Is d composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 123222 divided by 6.\nAnswer: 20537","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-189)\/(-5)*-12*(-85)\/(-612)?\nAnswer: -63","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -127\/486 and 167\/2898.\nAnswer: 78246","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**39)**6\/(y**(-4\/19)*(y\/y**(-3\/8))\/y) assuming y is positive.\nAnswer: y**(35543\/152)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 48 a factor of 21372891?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 526 minutes after 12:13 PM?\nAnswer: 8:59 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 12 + -31. Let o = t + 18.9919. What is o rounded to three decimal places?\nAnswer: -0.008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y = 3*g - 3, 0 = -2*y + 7*g - 3*g - 10. Let s be -3*(2\/((-30)\/115) + y). What is the highest common factor of s and 130?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -28 - -33. Sort -5, m, 1\/3.\nAnswer: -5, 1\/3, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y = 4*g - 11, -4*y + 10 = g - 4. What is the third derivative of 2*q**g - 24*q**2 + 9*q**3 - 12*q**2 + 4*q**2 wrt q?\nAnswer: 54","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence weh when three letters picked without replacement from {e: 10, h: 1, w: 6}.\nAnswer: 1\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -6\/374273 or 0?\nAnswer: -6\/374273","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 1726296 a multiple of 102?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 918571 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 0\/((-8)\/(-2) + -2 - -1). Let v(m) be the third derivative of -1\/15*m**5 + 2\/3*m**3 + 6*m**2 + 0 + 0*m + y*m**4. What is the derivative of v(j) wrt j?\nAnswer: -8*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h - t - 1273 = 0, 0 = -2*h - t - 3*t - 640. Round h to the nearest 10.\nAnswer: -320","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -7.71 plus 0?\nAnswer: -7.71","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-35)\/25 - (-2 - -1). Let q = 3 + -3. Which is bigger: a or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f + 6 = -2*s, 4*s + 3 = 3*f + 6. Put -3, -4, s, 7 in increasing order.\nAnswer: -4, -3, s, 7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u = 4*k + 9, -5*u - 3*k = -42 + 2. Let p(z) = -3*z + 35. Let r be p(u). Is (-13264)\/(-8) + (1 - r) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = -n**2 + 6*n + 6. Let y be b(6). Suppose 6 = -5*v + 46. Suppose p = -2*d + y*d - v, -3*p + 4*d = 0. Solve 4*u = 2*u - 3*l - 7, -p*l = 4*u + 12 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 202 - 142. Suppose 0 = -r*x + 63*x - 3. Let l(g) = 20*g + 2. Is l(x) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 184, 938, 2974, 6976, 13628, 23614?\n\"Answer: 114*x**3 - 43*x**2 + 85*x + 28","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*w + 5*z = -19, -4*z + 5*z + 8 = -5*w for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -10001 (base 3) in base 10?\nAnswer: -82","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -42 - -6a706?\nAnswer: 6a674","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 480 and 232944?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -40272, -80544, -120814, -161082?\n\"Answer: d**2 - 40275*d + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand 1 - p - 5 + 3 + (1 + 3 + 0)*(-1 + 1 - p).\nAnswer: -5*p - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 178298, 178720, 179142, 179564, 179986, 180408?\n\"Answer: 422*d + 177876","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 20 a factor of (-2)\/(-8)*(-167884)\/(-19)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -32*f + 48 + 48 = 0. What is the third derivative of 400*l - 51*l**2 - 400*l - l**f - 14*l**4 wrt l?\nAnswer: -336*l - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = -p**2 - 1. Let c(y) = 3*y**2 + y + 1. Let t(h) = c(h) + q(h). Let j be t(-1). Is (23\/(-4) + j)*-4 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 (base 9) in base 11?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = -w**3 + 2*w**2 + 1. Let n = -16 - -18. Let z be r(n). Is z\/(2\/(2696\/4)) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.051633 + 411998766.\nAnswer: 411998765.948367","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) be the first derivative of f**2 + 1. Let d(o) = -o**2 + 9*o + 2. Let m be d(9). Let x(w) = 9*w + w**m - 9*w. Calculate l(x(g)).\nAnswer: 2*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = 458*n - 237. Give r(-2).\nAnswer: -1153","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 0 + -1286?\nAnswer: -1286","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*u + 15 + 33. Which is the closest to 0.2? (a) -3 (b) u (c) -1\/8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -5\/4286 + -199279\/17144. Find the common denominator of (1 - 1) + 102\/(-88) and w.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*j**2 + 0*j**2 - j**3)*(-1 + 5 - 1)*(-2 - 4 + 4)*(4 + 1 + 1) as l*j + z*j**2 + h*j**3 + p and give h.\nAnswer: 36","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round 38.018972 to zero decimal places.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1 + -0.2. Let r = g - -1.2. Let a = 0.12 + -0.32. Sort -1\/7, a, r in ascending order.\nAnswer: a, -1\/7, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -6006046 (base 7) to base 5\nAnswer: -140123421","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -158, -10983\/10, -1\/2 in descending order.\nAnswer: -1\/2, -158, -10983\/10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ggs when three letters picked without replacement from {g: 4, d: 2, f: 2, s: 3}.\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = -z + y, 0*z = -3*z + 2*y + 1. Suppose 0 = -2*a - z*a. Suppose 5*v - 67 - 3 = a. What is the remainder when 27 is divided by v?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence upy when three letters picked without replacement from nypupyippu?\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 27\/2 of a centimeter in millimeters?\nAnswer: 135","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-3 + 5 - -12)*110\/77. Find the first derivative of t*y + 114 - 12*y + 32*y**3 - 11*y - 5*y**3 wrt y.\nAnswer: 81*y**2 - 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -3 (b) 64\/75 (c) 3 (d) 0.2 (e) 3\/8 (f) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h**(1\/10))**(-8)*h**28\/h*h**37\/h*h)**(-25) assuming h is positive.\nAnswer: h**(-1580)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -34, 5, -2, 7, -4, 402.\nAnswer: -34, -4, -3, -2, 5, 7, 402","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 726882 is divided by 80758?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -9514506201.999872 + 9514858284. Let c = 352098 - q. Let u = c + -16. Round u to 5 decimal places.\nAnswer: -0.00013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from agvvbvbbagabbaaag. What is prob of picking 2 v and 1 b?\nAnswer: 3\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 16495960 to the power of 1\/3, to the nearest integer?\nAnswer: 255","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*c + 21 - 7. Let b be (-7)\/(c\/2) - -23. Let a = 34 - b. Calculate the smallest common multiple of 5 and a.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3 (base 7) to base 14\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 o and 1 c when three letters picked without replacement from uuououoc?\nAnswer: 3\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*n**2\/11 + 71226182*n\/11 - 142452372\/11.\nAnswer: 2*(n - 2)*(n + 35613093)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = -4*b**3 + 22*b**2 + 44*b - 147. Determine r(2).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*m + j + 21 = 3*m, -5*m + 5 = -5*j for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -7 + 309. Let u = 110 - g. Let x = -191.999706 - u. What is x rounded to 5 decimal places?\nAnswer: 0.00029","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 21?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 466 minutes after 11:27 AM?\nAnswer: 7:13 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = r**3 - 37*r**2 - 12*r + 467. Determine p(37).\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) be the third derivative of i**7\/252 + i**6\/180 + i**5\/20 - 13*i**4\/8 + 35*i**2. Let j(r) be the second derivative of h(r). Is 57 a factor of j(-6)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*a**2 + 31*a + 15*a**2 + 53*a - 3*a**2 - 9*a**2.\nAnswer: -3*a**2 + 84*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 0, 3, 66053 in descending order.\nAnswer: 66053, 3, 0, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 9\/(-60) + (6\/8 - 1). Let q = 47\/2 + -23. Which is the second biggest value? (a) j (b) q (c) 2\/17\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = -6*w + 11. Let o(h) = 13*h - 20. Let i(d) = 7*f(d) + 4*o(d). What is i(3)?\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4717946 + 0.5?\nAnswer: -4717945.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 5193290177 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 4570 to the nearest integer?\nAnswer: 68","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 209 is divided by 70.\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 155\/2664 and 31\/39960?\nAnswer: 39960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*h**3 - 3*h**3 + 6*h**3)*(4*h + 0*h + h) + (-2*h + 2*h - 2*h**2)*(-3*h**2 + 2*h**2 - h**2).\nAnswer: 9*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3\/2? (a) -5 (b) 0 (c) -1\/5 (d) 30\/13\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 16 and 136?\nAnswer: 272","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {k: 3, y: 1, p: 6, c: 1, n: 6}. Give prob of picking 1 y and 2 n.\nAnswer: 3\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = 3*h**3 - 3*h**2 + 3*h - 1. Let v be t(1). Let a = -6 + v. Let p be (-85)\/(-20) + a - 99\/(-4). Solve 3*s = 5*q - 15, -3*s = -8*s - q - p for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = -4*d**2. Let x(v) = -37 + 37 - v. Give x(m(i)).\nAnswer: 4*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q = -3*q - 4, 0 = -3*y + 3*q + 156. Let d be (-68)\/(-17) + (-199)\/y. Suppose 2*k - 1 - 1 = 0. Which is smaller: k or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -2932805\/1914 - -16854\/11. Let t = b + 8\/29. Which is smaller: t or -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = 10*u**2 + 312*u + 2139. Calculate h(-11).\nAnswer: -83","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = i**3 - 7*i**2 - 5. Let f be l(7). Suppose 0 = -2*c + 5*t - 11, -3*t + 6 + 3 = 0. Sort -7, f, c.\nAnswer: -7, f, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = 111*m - 6877. Determine z(58).\nAnswer: -439","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -27177\/8 - -3397. Let x be (-3)\/(-5) - 6\/(-15). Which is smaller: x or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -7533 (b) -4 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.06 - 19595.883193.\nAnswer: -19595.943193","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 681 minutes after 7:11 PM?\nAnswer: 6:32 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 226 a factor of 11298?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.3, 3, 0.5, 1 in decreasing order.\nAnswer: 3, 1, 0.5, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (12\/10)\/((-14790)\/(-245050)) - (-4)\/34. Let i = 4 - 4. Solve i = -10*f - y for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 19*d**4 - 36*d**4 - 25*d**4 + (-20*d + 39*d + 20*d)*(-11*d**2 + 8*d + 2*d**3 + 11*d**2) to z*d**4 + b*d**3 + t + h*d**2 + i*d and give z.\nAnswer: 36","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1\/2*(117 - -5) - 3.\nAnswer: 2, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 199, 128, 65, 10?\nAnswer: -37","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 1, m: 2}. What is prob of sequence mm?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) be the first derivative of 3*q**4\/4 - 11*q**3\/6 - 7*q**2\/4 + 5*q + 233. Let k(j) = 0. Calculate j.\nAnswer: -1, 5\/6, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = -j**3 + 2*j. Let d be f(-2). Let b be (-9 + 15)*76\/6. Suppose 0*i - 4*x = -2*i + 38, -d*i - 2*x = -b. List the prime factors of i.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 281719751 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = 7*g - 2. Let m(f) = 266*f - 77. Let c = 84 + -78. Let u(x) = c*m(x) - 231*v(x). Let o(d) = -16*d + 2 - 2 + 14*d. Calculate o(u(q)).\nAnswer: 42*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + sqrt(110)\/(sqrt(40) + sqrt(4840) - sqrt(10)) + (sqrt(121) + -1*sqrt(121)*-4)\/((sqrt(11) - -2*sqrt(11))*-5))**2.\nAnswer: 40*sqrt(11)\/23 + 47249\/4761","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.4? (a) 2 (b) -0.01 (c) 211 (d) -1 (e) 0.05\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = v - 6. Let d(t) = t - 11. Let j be d(14). Let u be a(j). Let y be (2\/u)\/((-341)\/(-33)). Is 1 at most as big as y?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.4, -2\/7, -32.\nAnswer: -32, -2\/7, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y + 4*g - 10 = 0, y + 2*g = -0*g - 4. Let q = 2089.5 + -2089. Sort y, 2\/11, q in decreasing order.\nAnswer: y, q, 2\/11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 890562727?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 18 a factor of 2801541?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0 + 14. What is the greatest common factor of 70 and b?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*b = -5*u + 11, 0 = u + 80*b - 85*b - 19 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-y + 3*y + 2*y)*(y**2 - y**2 + 6*y**3) - 2*y**4 + 0*y**2 + 0*y**2.\nAnswer: 22*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 119668 to the nearest integer?\nAnswer: 346","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qqqz when four letters picked without replacement from {z: 7, q: 12}.\nAnswer: 385\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (526*k**2 + 419*k**2 - 798*k**2)*(5 - 2 - 1) to y*k + u*k**2 + d and give d.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*z + k - 193 + 197 = 0, -4*z + 3*k = -12 for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*2*sqrt(19)*2 - 1*sqrt(2299)*-1)**2 + 0.\nAnswer: 1539","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4979502 divided by -16766.\nAnswer: -297","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = 2*d**2 + 102*d + 1311. Determine n(-39).\nAnswer: 375","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 13455986919 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = h**3 + 26*h**2 + 30*h - 2069. Calculate c(-16).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = -y + 7. Let f be m(3). Suppose f*d + 4*r - 20 = d, -r = -2*d + 17. Let u(v) = -2*v + 12. Calculate the remainder when u(-12) is divided by d.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = 4*c - 17. Let q(s) = 3*s**3 - 3*s**2 + 2*s - 4. What is the smallest common multiple of q(2) and f(5)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 17 divide 60468?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 418 + -383. List the prime factors of (-7 - f)\/6 + 295.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1 (base 2) to base 6.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = -616*z + 1853. Let b be u(3). Solve 11*i + 19 = 8*i + b*v, 3*v = 5*i + 5 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*r - 183 = -3*r. Let c(l) = l**2 + 2*l - 3. Let t be c(3). What is the common denominator of -85\/4 and 3 - 4 - r\/t?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11 = -3*w + 2*w. Let k(m) = 0*m + 14*m - 78 + m**3 + 2*m - 12*m**2 + 18. Let g be k(11). What is the fourth smallest value in w, g, 1, -2?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 44 in 4, 0.2, -0.1, -3?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 413, 825, 1237, 1649?\n\"Answer: 412*i + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 144 minutes after 10:34 PM?\nAnswer: 12:58 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k*((k**(-1\/10)\/k)\/k)\/k*k**(-25))**(-40) assuming k is positive.\nAnswer: k**1084","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = -13*v - 8. Let y(c) = -36*c - 22. Let w(r) = 11*l(r) - 4*y(r). Let h(t) = 2*t - 1. Give -h(p) + w(p).\nAnswer: -p + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d + y + 0*y = -12, 4*y = 2*d + 8. Suppose -5*x = -2*i + 5, i + 2 - 6 = d*x. Is (2\/(-2) - i)*-79 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 24 in -0.282, -3, -2\/11?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 44, -81, 50, 3 in decreasing order.\nAnswer: 50, 44, 3, -3, -81","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6174 + -6201 + -10 + 1?\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 2 (b) -0.4 (c) -2.8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 7695?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/(-8) - (-4668)\/48 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -341916 divided by 85479\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 d and 1 h when two letters picked without replacement from ddhddhdddhdddhhhdd?\nAnswer: 8\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -452 + 451.336. Round d to 1 dp.\nAnswer: -0.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00329748372 to 4 dps.\nAnswer: -0.0033","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-1 - 1)*(-12)\/(-24). Let g be ((-2)\/3)\/(8\/(-12)). Put g, 14, a in decreasing order.\nAnswer: 14, g, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(4800) - sqrt(4800)*-1) + 2 + 3 + 5*sqrt(147) + -2)**2 + -2.\nAnswer: 690*sqrt(3) + 39682","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 8099844629 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((v\/(v\/(v\/v**(1\/4))*v))\/(v**(5\/3)*v))\/((v\/(v**(2\/3)*v))\/v)**(-2))\/(((v\/(v\/(v*v**3*v)))\/v*v)\/v**1*(v**(-1\/4)*v)**(-7\/3)) assuming v is positive.\nAnswer: v**(-17\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3831*u = -3933*u - 408 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 57911 + -57910. Let j(s) = s**2 + 4*s + 4. Let t be j(-6). What is the third biggest value in -4, v, t?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 1283*c**5 - 2455*c**2?\nAnswer: 76980*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = -v**2 + 10*v. Let o be h(10). Suppose n - 5 - 1 = o. Which is smaller: n or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 1776656781.5 to the nearest 100000.\nAnswer: 1776700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((((a*a**(2\/5))\/a*a)\/a**(-3))\/(a**(-3)*a**(-1\/4)*a))**(-37))**18 assuming a is positive.\nAnswer: a**(-44289\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*b**5 + b**5 + 2*b**5)*(0 + 0 + 1)*(7 + 18 - 38).\nAnswer: 13*b**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 123 - 613\/5. Suppose 2*r = -0*r. Which is the closest to g? (a) -2\/3 (b) r (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = -c**3 + 6*c**2 + 11*c - 4. Calculate the remainder when g(5) is divided by 43.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 36 - 109\/3. Let w be 9\/6*(-2)\/3. Let d = 0 - 0.5. Which is the closest to w? (a) d (b) -4 (c) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23 - 7 = 4*l. Let c = -40 + 45. Suppose 0 = -c*f + 15 + 10. Calculate the remainder when f is divided by l.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.2 and 5.9.\nAnswer: -1.18","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*z**3\/7 - 226*z**2\/7 - 458*z\/7 - 230\/7.\nAnswer: 2*(z - 115)*(z + 1)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 967 + -736. Calculate the greatest common divisor of 14 and x.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/7 in -1.229, -0.1, -0.5?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 i, 1 u, and 1 c when three letters picked without replacement from cuiiiiucciciucu?\nAnswer: 24\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 - 4 = -2*d. Suppose 3*q + 0*x = -d*x + 67, -4*x + 65 = 3*q. Suppose 3*l + 4*t + 18 = l, 2*l + 5*t = -q. Let p(u) = u**2 + u - 1. Give p(l).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1143, 2285, 3427, 4569, 5711?\nAnswer: 6853","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 14\/25 or -35\/139?\nAnswer: 14\/25","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1990*w**2 - 118*w**3 - 7974*w**2 + 1997*w**2 + 1990*w**2 + 1997*w**2.\nAnswer: -118*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = -g - 0. Let a(p) = -2*p**2 - 13*p - 2. Let i be a(-6). Let s be ((7 - i) + -3)\/g. Solve s = y + 3*y - 20 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 + 6 + (-9 - (-2 + -2)).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2669770435 to the nearest integer?\nAnswer: 1387","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -1086, -8404, -28264, -66936, -130690, -225796, -358524?\n\"Answer: -1045*g**3 - g**2 - 40","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -580253\/30 - -19348. Suppose -3*q - 4*q = 70056. Let p = q + 59915\/6. What is the common denominator of m and p?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = -y**2 - 6*y - 4. Let r be v(-6). Let d = -18.3 - -4.3. Let j = -13.8 - d. What is the closest to 1 in r, j, 0.05?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 178035643 = 253*j - 106469823 - 33072531. Is j a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/9? (a) -3\/4 (b) 0.5 (c) 265\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: (((-36)\/40)\/(-3))\/(12\/10)\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 57076 and 228?\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 0 + -11001111101000110110000001?\nAnswer: -11001111101000110110000001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 6526?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -7 + (-7995)\/(-3) - -2. Suppose -14*t = -2716 - x. Calculate the greatest common divisor of 12 and t.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*z + 16*z = 95. What is the tens digit of z?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*a = -2*n + 6, -445*n - 5*a + 29 = -448*n for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 7981?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 0.006 * 5.552\nAnswer: 0.033312","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-17)\/2)\/((-110)\/(-88)))\/(64\/320).\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 1307689 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4f2 (base 16) to base 9.\nAnswer: 1656","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 165 minutes after 8:41 AM?\nAnswer: 11:26 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = 3*o**2. Let c(x) = 5*x**3 - x + 2. Let u be c(1). Let s(t) = 7 + u*t**2 - 3*t**2 - 7. What is s(a(d))?\nAnswer: 27*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h - h = -246. Let i = h - -1. Is i composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 5 or 1141\/261?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1017582424 divided by -8.\nAnswer: -127197803","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 1609853.81 rounded to the nearest ten thousand?\nAnswer: 1610000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 p and 1 h when two letters picked without replacement from phviypg.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -0.2 (b) -1 (c) 3 (d) 429\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s + 0*s = 24. Let r be (-36)\/(-60) + s\/(-5) - -10. Calculate the greatest common divisor of 99 and r.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((l*l**(-4))\/(l*(l\/((l\/(l**(3\/5)\/l))\/l)*l)\/l))\/(l**(2\/9)\/l*l**(1\/9)))**(12\/5))**47 assuming l is positive.\nAnswer: l**(-11092\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 934 + 23403?\nAnswer: 24137","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) be the first derivative of -2*h**3\/45 + 7*h**2\/15 - 4*h\/5 - 25. Let m(x) = 0. Calculate x.\nAnswer: 1, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w = -6*w + 2. Let b be 3 + -2 + w + 1. Solve 0*f = -b*f - 8 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 33534323 is divided by 2349?\nAnswer: 2348","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 464 is divided by 195.\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(375)\/sqrt(3)*-4)**2.\nAnswer: 2000","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 1098, 1091, 1074, 1041, 986, 903, 786?\n\"Answer: -z**3 + z**2 - 3*z + 1101","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -23\/7 - -221\/63. Let y = -131 + 130. Sort -0.06, l, y in ascending order.\nAnswer: y, -0.06, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -116 and 3529337969916.\nAnswer: 3529337969800","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 86 and 345588893?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -8 or -1479\/173?\nAnswer: -8","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/4 of a century in years?\nAnswer: 175","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 8290942 to the nearest integer?\nAnswer: 2879","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-8)\/(-20))\/(16\/(-10))?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) be the third derivative of 338\/15*y**3 + 1\/75*y**5 + 13\/15*y**4 + 46*y**2 + 0 + 0*y. Find u, given that r(u) = 0.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 16716?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (1\/(-5) - 363\/(-165))\/1. Suppose 175*z**3 - 51*z**4 - 80*z**q + 99*z**5 - 106*z**5 + 27*z**2 + 20 + 12*z - 62*z**2 - 34*z**2 = 0. Calculate z.\nAnswer: -10, -2\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 6014738 (base 11) to base 5\nAnswer: 10211301334","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*r + 2*r - 6 = 0. Let v(i) be the first derivative of 3\/4*i**2 - 1 + 1\/6*i**r + i. Suppose v(s) = 0. What is s?\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*s + 8 + 2. Let f(d) be the first derivative of s*d**2 - 9*d + 9*d - d**4 + 1. What is the second derivative of f(z) wrt z?\nAnswer: -24*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*g - 43*g + 120666 = 0. Let v = g + 2210. Is v a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 2\/13, -25109, 1\/31, -0.1?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) be the second derivative of 0 + 0*j**4 - 40*j + 0*j**6 + 0*j**5 + 16\/3*j**3 + j**2 + 47\/21*j**7. What is the second derivative of b(r) wrt r?\nAnswer: 1880*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in 1\/16 of a second?\nAnswer: 62500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 19356542?\nAnswer: 2, 9678271","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 12, 11, -2, -33, -88, -173, -294?\n\"Answer: -q**3 + 6*q + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 5 + (8\/(-36) - 2\/(-9)). Solve 4*z - 4*r = -2*r - 6, t*r = -4*z - 27 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -739 - -1192. List the prime factors of x.\nAnswer: 3, 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 y and 1 r when two letters picked without replacement from qrqyryqqqyryyqyrxy?\nAnswer: 28\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = -2*g**2 - 15*g. Let y(l) = 2*l**2 + 16*l. Let i(x) = 4*c(x) + 5*y(x). What is the second derivative of i(k) wrt k?\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/11, -304, 2 in increasing order.\nAnswer: -304, 2\/11, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = i + 3*i + 36. Let b(g) = -g + 8. What is the tens digit of b(i)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 + 18 = 3*l, 4*k + 3*l - 926 = 0. What is the remainder when k is divided by 7?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 6, 3, 2, -5, -4, 18 in increasing order.\nAnswer: -5, -4, 2, 3, 6, 18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = q**3 + 12*q**2 + 2*q + 22. Let d(f) = -f**2 + 101*f + 408. Let s be d(-4). Calculate x(s).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) be the third derivative of 5*n**4\/24 - 5*n**3\/2 - 5*n**2 - 21. Let v(r) = -6*r + 16. Calculate 4*u(k) + 3*v(k).\nAnswer: 2*k - 12","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3 + 3144*p**3 - 3 - 11192*p**3.\nAnswer: -8048*p**3 - 6","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000032963 to 5 dps.\nAnswer: -0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -17052356 - 0?\nAnswer: -17052356","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 3115 - 662. Is m a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = -q**3 - 4*q**2 + 15*q + 5. Let v be s(-8). Suppose 0 = -u + 4*d - 71 + 24, -3*u + d - v = 0. Let k = u + 137. Is 25 a factor of k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 102*-0.12\nAnswer: -12.24","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 60998018303 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-1)\/4)\/((-98)\/224).\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 6 and 25662.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is -72.8 smaller than -205797.4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -2, -5\/4, 4, -72413\/2?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*v - v - m + 1756 = 0, m - 1052 = 3*v. Let r be (-18)\/(-4)*1*v\/264. Sort r, -2, 3 in descending order.\nAnswer: 3, -2, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = 2*j**2 - j. Determine a(-1).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (55\/2)\/((-2)\/18). Suppose -106*w + 7871 + 21173 = 0. Let r = w + c. Calculate the common denominator of r and -26\/17.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b + 15 = -b. Sort -3\/8, 0.1, b in decreasing order.\nAnswer: 0.1, -3\/8, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 74463?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s + 4*j = 0, -5*s = -2*s - 5*j. Let r be (-189)\/21*(1 + s). Let w(o) = o**3 + 11*o**2 + 4*o - 10. What is the tens digit of w(r)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -3759319 + -122.859.\nAnswer: -3759441.859","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Determine w, given that 9*w**3\/4 + 634*w**2 + 178365*w\/4 - 19881\/2 = 0.\nAnswer: -141, 2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Are -993297\/53 and 0 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -2 + 1. Which is smaller: p or -1\/26?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-u - u + 0*u)*(0*u - u - u) + (-1 + 1 + u - 2)*(0 + 8*u + 0).\nAnswer: 12*u**2 - 16*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -31*1*((-2)\/(-1) + 0). Let h = p + 122. Is h a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) be the first derivative of 3\/2*s**2 + 2*s - 32. Give k(-2).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -45, -130, -271, -468?\nAnswer: -721","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((g**(-4\/5)*g)\/g*g**1\/g)\/(((((g*g\/g**0)\/g)\/g)\/g)\/g)**(-2\/121))\/((g**1)**(19\/3)*g**(1\/2)*(g*g*g**(1\/2)*g*g)\/g) assuming g is positive.\nAnswer: g**(-20267\/1815)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 443 - 420 - (-2 - 0) - 30?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1762.\nAnswer: 2, 881","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 3.23 + -164.23. Let d = w - -161.000615. What is d rounded to five dps?\nAnswer: 0.00062","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fvfy when four letters picked without replacement from zdvdyddfvf?\nAnswer: 1\/1260","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0 (base 7) to base 3.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -42 - -41.66. Let y = j - 4.66. Which is bigger: y or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -16*(-12)\/(-12) - -9?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -426 = 190*z + 27*z + 86*z - 17394 for z.\nAnswer: 56","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 0.1893 from -22.74.\nAnswer: -22.9293","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in 0.4, 0, 17271, 2\/19, 0.3?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 13 + -787?\nAnswer: -774","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 542487215?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 69\/1855 and 1\/(-38) + (-456318)\/(-422180).\nAnswer: 20405","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*s**3 - 2*s**3 + 0*s + 33438*s**2 - 33441*s**2 - s**4 - 3 - s as n*s**3 + j*s**4 + i*s**2 + w*s + d and give j.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = -19*c**3 + 2*c**2 - c + 5. Give y(2).\nAnswer: -141","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does 60 divide 4530?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 553328, -1\/19, -0.07?\nAnswer: -1\/19","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 16\/6 + (-6)\/(-18). Suppose 7*i - 8 = r*i. Calculate the smallest common multiple of (9\/12)\/((-3)\/(-24)) and i.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 177019372 to the power of 1\/3, to the nearest integer?\nAnswer: 561","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k\/(k*k**(2\/17)))**(-42) assuming k is positive.\nAnswer: k**(84\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 26 and 988390.\nAnswer: 988390","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 12.8 - 13. Let f = a - -0.5. Let g = -3.6 + 4. Put f, g, -0.09 in descending order.\nAnswer: g, f, -0.09","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 10.53 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 32 in 2, -3, 1, 10\/7?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: (20\/18)\/(39\/(-351))\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x - 3*q + 111 = 7*x, -3*q = -15. What is the remainder when 154 is divided by x?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -51*s + 8*s - 6*s = -98 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 8\/51, -36, -8\/801 in descending order.\nAnswer: 3, 8\/51, -8\/801, -36","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.1 and 79.\nAnswer: 7.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2387*m + 2462*m + 2325 = 0 for m.\nAnswer: -31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00068121 to 6 dps.\nAnswer: -0.000681","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (2\/4)\/((-5)\/(-10)). Let l(y) be the first derivative of 45*y**4\/4 - y**3\/3 + y + 15. What are the prime factors of l(o)?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 22590 and 27991520?\nAnswer: 2510","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0 - -4. Suppose -l = f + 2, -g*l + 11 = -2*f + 37. What is the units digit of f?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 41829 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 1886596035 divided by -5?\nAnswer: -377319207","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = 301 + 28*c + 45*c**2 - 65*c - 400. What is the units digit of z(-3)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 15\/469 and 0 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 20, 40, 56, 68, 76, 80, 80?\n\"Answer: -2*b**2 + 26*b - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 32805 times -0.2828\nAnswer: -9277.254","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) -1\/2 (b) -4\/7 (c) -62\/5 (d) 0.16\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -38 + 15*c**3 + 38 - 47*c**3.\nAnswer: -32*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -637*3\/198 - -10 and -83\/1012?\nAnswer: 3036","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(19)*-2 - (5 + sqrt(304)))**2.\nAnswer: 80*sqrt(19) + 1241","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 4, 3, -148 in increasing order.\nAnswer: -148, -4, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2*sqrt(65)*4 + sqrt(65))\/(sqrt(5) + sqrt(60)\/sqrt(3) + sqrt(20)))**2.\nAnswer: 1053\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 9092199526 to the power of 1\/2, to the nearest integer?\nAnswer: 95353","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert 36 (base 12) to base 5.\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -9 - (-12 + -3) - ((9 - 13) + 16)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in 9436.527 microseconds?\nAnswer: 9436527","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m + 32*x - 84054 = 35*x, 0 = 6*m - 4*x - 168094. Is m prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify s**(-1\/7)*s\/(s*s**(-19))*s**(-1\/2)\/s*s*s*s**(-10\/7) assuming s is positive.\nAnswer: s**(251\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 d when two letters picked without replacement from dpdppddddddpddddddp?\nAnswer: 91\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = 3*o + 27. Let p be (-2)\/3*21\/2. Is o at most p?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -130 - 319.\nAnswer: -449","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-40 - 5)\/1890)\/((-19)\/741)?\nAnswer: 13\/14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-5 - 1)*(180\/(-54))\/10. Solve 0 = -a*z + 8*z - 12 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 2*1*((-3339)\/(-14) - -4). Suppose 3*o - 291 = 3*j, -y = -5*o + 3*j - 2*j. What is the units digit of o?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 16992303?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.3 * 136.\nAnswer: -40.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -35\/87? (a) -1\/11 (b) 0.5 (c) -8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 7 or 581\/95?\nAnswer: 581\/95","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = -n**3 - 9*n**2 + 10*n + 1. Determine l(-10).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Divide 6264627 by -43.\nAnswer: -145689","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 2, 451 in increasing order.\nAnswer: -2, 2, 451","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 128691 a multiple of 119?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1895*a - 3*f - 17 = -1890*a, 5*a + 16 = -4*f for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*u - u - 3*u + (4 + 0 - 2)*(u - u + 3*u))*(-3 + 33 + 9 - 9).\nAnswer: 150*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/3? (a) -2 (b) -116 (c) 3.7 (d) -0.4 (e) -4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 13*b**3*m + b**3*n + 3*b**2*m*n + 2*b*m*n + 3*b*n + n wrt b?\nAnswer: 78*m + 6*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -79\/970 and 85\/388.\nAnswer: 1940","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 78208 and 19328?\nAnswer: 128","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(2448)*2 + sqrt(2448) + -5 - sqrt(2448))**2.\nAnswer: -240*sqrt(17) + 9817","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 7 + -22 - (-7 + 0 - -4) - -2\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = u**2 + u - 40. Let o be r(6). Factor -1\/3*q**o + q + 1\/3 - q**3.\nAnswer: -(q - 1)*(q + 1)*(3*q + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 211 + -137. Suppose 2*k - 10 = -3*k, -4*n + q = -5*k. What is the units digit of 468\/n - (-8)\/(-28)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = 40*m**2 + m. Let p(b) = -4*b - b - 1 + 2*b. Calculate the remainder when n(1) is divided by p(-5).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = -19*z + 3. Let m(h) = h + 6. Suppose -t = 2*t - 2*r + 28, 3*t - 4*r + 20 = 0. Let v be m(t). What are the prime factors of j(v)?\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 1067, 1070, 1073, 1076, 1079, 1082?\n\"Answer: 3*s + 1064","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) be the first derivative of g**4\/2 + 5*g**2\/2 + 5*g + 1. Let b be (-3)\/(-2)*400\/(-60). Let j(w) = -w - 1. What is b*j(c) - 2*v(c)?\nAnswer: -4*c**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*l**3 - l**3 - 2*l**3)*(6*l + 3*l - 3*l)*(l - 2 + 2).\nAnswer: -18*l**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 3 (b) -1\/3 (c) 2\/17 (d) 201253\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 3727*j**5*r + 6*j**3*r**3 + 4*j**2*r**2 + 3*j*r**3 + 4*j*r**2 - 2*r wrt j.\nAnswer: 223620*j**2*r + 36*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 8 + 6)*(11 - 17 + 8*p - p + 3*p - 4*p - p + (-2 + 5 - 1)*(-5 - 2*p + 5) - 3*p + 3*p - 2*p).\nAnswer: 3*p + 18","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -5\/438806 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = -c**2 - 6*c - 3. Let g(a) = a**2 - 9*a - 8. Let r be g(9). Let z = r + 3. Calculate x(z).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine z so that -25*z**5 - 320*z**4 + 2576*z**3 + 2160*z**2 - 34992*z + 46656 = 0.\nAnswer: -18, -4, 2, 18\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 51 - 36. Let n = 29 - q. Calculate the greatest common factor of 56 and n.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 12416 and 12?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.603 rounded to one decimal place?\nAnswer: -1.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 39949 is divided by 23?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.046283528 + 24.034.\nAnswer: 23.987716472","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Determine g so that 22\/3 - 130\/3*g + 62*g**2 + 6*g**3 = 0.\nAnswer: -11, 1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 175 divide 886943925?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert -208051 (base 11) to base 9.\nAnswer: -556464","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-3*sqrt(6)\/sqrt(3))**2 + 4 + 0 + (-5 + (sqrt(32)*4 - (sqrt(18) + 2)))**2)*-3.\nAnswer: -1227 + 546*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is (2*(-3)\/(-9))\/((-39)\/117)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*s = 2*s + 9*s for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (16\/20)\/(4\/30). Suppose 4*o - 189444 = -2*a, -5*o + 0*o + 236806 = 3*a. Let q be o\/608 - (-2)\/19. What is the highest common factor of p and q?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0 or 1\/1239199?\nAnswer: 1\/1239199","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 44, 61, 78, 95, 112, 129?\n\"Answer: 17*l + 27","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 14 and 9037.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 57\/1022 and -12\/77.\nAnswer: 11242","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is (8380\/80)\/((-3)\/(-12)) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -266 + 3992\/15. Let m = -0.07 + 0.21. Let g = m + -3.14. Which is the smallest value? (a) x (b) g (c) -4 (d) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = f - 11. Give c(6).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 114\/85 - 4283\/595. Let l = -1307850 + 57716809\/44. Let i = -3896 + l. Find the common denominator of n and i.\nAnswer: 308","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2*sqrt(126))\/sqrt(7))\/(sqrt(6) + sqrt(12)\/sqrt(2)*-6).\nAnswer: -2*sqrt(3)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 110968 + -110963. Suppose 4 = d + v, 7 = d - 3*v + v. Solve 0 = 2*y - 7*y, -5 = l*i + d*y for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = 50*h**3 - 4*h**2 - 3*h + 1. Let w(u) = -101*u**3 + 7*u**2 + 5*u - 2. Let b(s) = 7*a(s) + 4*w(s). Calculate the remainder when b(-1) is divided by 14.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*n + 4*n - n)*(4 - 4 + 5)*(-n - 2*n - n)*(-5 + 32 + 16).\nAnswer: -860*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = -2*q**2 + 4*q - 3. Let m(t) be the second derivative of t**3\/6 + t - 3078. Give -m(z) - w(z).\nAnswer: 2*z**2 - 5*z + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 z and 3 d when four letters picked without replacement from ddzdddzd.\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 91244439599 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -36 + 85. Let p be 0*1\/2 - -10. Let z = k + p. Round z to the nearest 10.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -41*h**2 - 3*h + 33*h**2 + 3*h.\nAnswer: -8*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*l - 3*m + 11 = 0, -l + 8 = l + 5*m for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f - 48 = -v - 3*v, 4*f - 46 = -5*v. Let c = -1656 + 1664. Let b = f - c. What is the units digit of b?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 140*j**2 + 88*j?\nAnswer: 280","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0.02 (b) 10.19634 (c) -4 (d) 3 (e) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -n**4 + 79*n**3 - 431*n**2 wrt n?\nAnswer: -24*n + 474","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*g + 212 + 229 = 0. Let w(r) = -r**3 - r**2 + 5*r + 4. Let c be w(-3). Calculate the greatest common factor of c and g.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 10033 (base 5) to base 15\nAnswer: 2cd","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 + 75\/(-105) - 36\/273.\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -5 + -4 + (36 - 18).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -221 or -2\/3?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = 1070*w**2 + 7. Let s(n) = -357*n**2 - 2. Determine -7*s(k) - 2*y(k).\nAnswer: 359*k**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 241668?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -781, -2 in increasing order.\nAnswer: -781, -2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -9 + 15. Suppose -3*y - 12 = f, -f = -6*y + 7*y + m. Which is smaller: -18\/7 or y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 322*u = 165*u + 6908. What is the greatest common divisor of 44 and u?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 139 + -52. Is q a multiple of 29?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10819427 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 16581.38ug in tonnes?\nAnswer: 0.00000001658138","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -1827705*o**3*u**2 - 3*o**3 + o**2*u - 26*o**2 + 2*o*u**2 + o - u**2 - 14285 wrt o?\nAnswer: -10966230*u**2 - 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1\/3*w**4 - 19\/3*w**3 - 13\/3*w**2 + 26*w + 24 + 1\/3*w**5 = 0. Calculate w.\nAnswer: -4, -2, -1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = -91*g**2 + 130*g + 19722. Calculate z(-14).\nAnswer: 66","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 17501, 17502, 17503, 17504, 17505, 17506?\nAnswer: 17507","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand 239*x**3 - 3*x**5 + 4*x**5 - 3169*x**2 - 2 + 3170*x**2 + (4 - 4 - x)*(-x**4 + 2*x**4 + x**4).\nAnswer: -x**5 + 239*x**3 + x**2 - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s = -s + 20. Let a(h) = -6*h**3 + h**2 - 8*h + 3. Let n(i) = -i**3 + i**2 - i + 1. Let l(q) = s*n(q) - a(q). Is l(-2) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.12 - -0.08. Let r = f + 0.74. Let s = -0.6999936 + r. What is s rounded to six dps?\nAnswer: 0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = -a**2 + 3*a - 2. Let o be v(3). Let b be (-6)\/(-3)*(o + -2). Let x = b + 8. Solve -p - 1 = 2*z + 5, z + 1 = x for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 107\/63780 and 23\/24.\nAnswer: 127560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in thirty-two fifths of a litre?\nAnswer: 6400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 237166 to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1373 - 1373 - 2*k**2.\nAnswer: -2*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1 + 0)\/(72375\/1005 - 72).\nAnswer: -67","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(78) + (((3*sqrt(78) + sqrt(78))*6 - sqrt(78)) + sqrt(78) - sqrt(78)))\/((sqrt(72) - sqrt(18))\/sqrt(3)).\nAnswer: 24*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 5310 - 26549\/5. Factor 8\/5*w**2 + k*w**3 + 0 + 16\/5*w.\nAnswer: w*(w + 4)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 59430613?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) be the third derivative of k**7\/2520 + k**4\/24 - 2*k**2. Let t(x) be the second derivative of n(x). Let v(i) = 3*i. Give v(t(z)).\nAnswer: 3*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 23175 and 127514.\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 68 + 5 - -28 - -7.\nAnswer: 108","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express 33*o**2 - 5*o + 167*o**2 - 4*o - 30*o**2 in the form w*o + m + y*o**2 and give w.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 52*u + 82812 = p + 55*u, 0 = 5*p - 5*u - 413980. What are the prime factors of 10 + p\/84 + 2\/7?\nAnswer: 2, 3, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -5511446 + -3?\nAnswer: -5511452","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 422341785 a multiple of 573?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 2 - 3. Let z be 1940\/15 - r\/(-3). Suppose -5*u + z = -26. What is the remainder when u is divided by 16?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-1038)\/(-865)*(-4640)\/(-58)\nAnswer: 96","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g + 5*g = 3*d - 24, g - 3 = 0. Suppose -2*s = -2*k - 8, -3*s + 3*k = 4*k - d. Suppose 0 = -4*x + 5*x. Solve x = -v + s*v - 6, -2*t + 8 = -v for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 890410914 to the nearest integer?\nAnswer: 962","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -10.751 rounded to the nearest integer?\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 33, 85, 243, 561, 1093, 1893?\n\"Answer: 9*a**3 - a**2 - 8*a + 33","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m = v + 1, 5*v - 10 - 3 = -4*m. Suppose 0 = v*r + 12*r - 272. 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 the remainder when 616729 is divided by 10603?\nAnswer: 1755","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 910 and 105?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 a factor of 4383721?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = -6*t - 2. Let g be d(1). Let w = g + 10. Find the first derivative of -r**w - 6*r**2 - 18 - 3*r**2 wrt r.\nAnswer: -20*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -3113 or -3112?\nAnswer: -3112","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 2*f**3 + 2093*f - 821?\nAnswer: 6*f**2 + 2093","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*z**2 + 2*z**5 + 3*z**2 - 2*z**5 - 29*z**4 + 29*z**4 - 17*z**4 + (-3*z**2 + 2*z**3 + 3*z**2)*(4 - 4 + 2*z**2) + z**5 - z**5 + 2*z**5.\nAnswer: 6*z**5 - 17*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 2743 - 2727. Solve -3*v - 12 = n, 2*n + x*v - 21*v - 31 = 0 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -11 - 0 - ((15 + 2 + 6 - 12) + -2).\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) be the first derivative of -34*r**5 - 155*r**3\/3 + 144. Find the third derivative of p(v) wrt v.\nAnswer: -4080*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 23431509 and 20828008.\nAnswer: 187452072","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 28558507 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = -35*j + 3887. Calculate l(111).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 90*t**6 + 4*t**5 + t**4 - 145*t**2 - 23*t - 2 wrt t.\nAnswer: 10800*t**3 + 240*t**2 + 24*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -35 - -24 - (6 + -18).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 215 - 117. Suppose 0 = -f + 3*t + g, -3*t + 26 - 344 = -3*f. Let p = f + -67. Does 21 divide p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 11, 34, 59, 86, 115?\nAnswer: 146","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 9389179\/238 + -39450. Find the common denominator of z and -43\/70.\nAnswer: 1190","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -658, -1532, -2620, -3922?\nAnswer: -5438","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0002004 to four dps.\nAnswer: -0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2384426 rounded to 4 dps?\nAnswer: 0.2384","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-3 + (sqrt(3267) - (sqrt(3267) - (sqrt(3267) - (sqrt(3267) + 1))*4) - sqrt(3267)) + -2 + sqrt(3267) + 4)*-6)**2.\nAnswer: 900","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u - 4*b + 98 = 0, b + 0*b = 4*u + 85. Let y = u + 32. Solve 2 = 5*x + 12, 5*x = -3*f - y for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-218)\/(8284\/570))\/(5\/(70\/3))\nAnswer: -70","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k - 2 = -0. Solve v = 3*v - k for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 66357380 to the nearest integer?\nAnswer: 405","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1609 + 1608.6. Which is the closest to 1\/9? (a) -0.12 (b) -3 (c) 1 (d) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -2*(-2)\/(-4)*-2. Let u be -4*(r + (-20)\/8). Suppose u*s + 8 = 12. What are the prime factors of s?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g - 3*s - 533 = -8*s, -3*g - s = 376. Let d = g + 128. Put -27, d, -2\/17 in decreasing order.\nAnswer: d, -2\/17, -27","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 6864126?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_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 n = 268 + -266. Suppose -4 = d, -n*j + d = -355 - 219. What is the hundreds digit of j?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -116, -636, -2076, -4898, -9564, -16536, -26276, -39246?\nAnswer: -55908","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11551*z - 11103*z - 457*z.\nAnswer: -9*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 23.44897ml?\nAnswer: 0.02344897","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00478275 rounded to 3 decimal places?\nAnswer: 0.005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*u**3 + 2010639*u**2 + 124668267*u + 1932402825 = 0. Calculate u.\nAnswer: -31, 670275","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:49 PM and 12:43 AM?\nAnswer: 474","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 66\/8 - (-5)\/(-20). Let n = v + -1. Suppose 2*x + 2*l - n*l = -1, -x + 22 = 2*l. What is the remainder when 44 is divided by x?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 2\/(-8)*(2 - 26)\/6. Is p at most 18?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -155, 24, -7, -1.76?\nAnswer: -1.76","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify r**(6\/13)\/(r\/r**(-34\/7))*(r*r**(-13)\/r)\/(r**(-1\/20)*r*r) assuming r is positive.\nAnswer: r**(-37029\/1820)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = -932*u - 10. What is the tens digit of s(-1)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 3 - 2*z)*(-z**2 + 4 - 4) + (-266*z - 387*z + 76*z)*(-3*z**2 + z**2 + z**2).\nAnswer: 579*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from pbbhbbbhhy. What is prob of sequence byb?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t + 0*y - y = -5, -2*y = 2. Suppose 5*s - 7 = -u - u, t*s = -3*u - 6. Suppose -s*c = 32 - 119. What is the tens digit of c?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3662958826506 less than -0.2?\nAnswer: 3662958826505.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-1 - -2)\/2)\/((-10)\/9840). Let s = 42309\/86 + n. Calculate the common denominator of s and -87\/14.\nAnswer: 602","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 6781 and 8.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -0.137*-398.5\nAnswer: 54.5945","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-10*o**3 + o**3 + 49*o**2 + 10*o**3)*((3 - 1 - 1)*(o - o - o) - 1 - 2 - 4041*o + 3960*o) to the form h*o**2 + u*o + p*o**3 + z*o**4 + v and give z.\nAnswer: -82","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -8976, -17930, -26886, -35844?\nAnswer: -44804","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(7\/8)*i)\/(i\/(i**(-11\/5)\/i))*i*i**(14\/3)*i*i*i\/(i*i*(((i*i**(3\/10))\/i)\/i)\/i) assuming i is positive.\nAnswer: i**(145\/24)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1 + 3. Suppose -d - 1 = q. Let h be ((-2)\/d)\/(4\/18). Solve h*j = -y - 4, 0 = y - 0*j - j - 8 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 709 minutes after 7:14 PM?\nAnswer: 7:03 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 111*s + 105*s - 286 - 114 = 176*s for s.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1046?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 16, 27, 50, 91, 156, 251, 382?\n\"Answer: h**3 + 4*h + 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 67185?\nAnswer: 3, 5, 1493","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round 4.4616 to 2 decimal places.\nAnswer: 4.46","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = 9*j**2 + 2*j + 1. Let h be k(-1). Suppose 3*b - 6 = 5*p, 0 = -2*p + 3*b - h + 2. Solve p = 2*n - 6 - 2 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = -4*v + 5. Let m(u) = -7*u + 9. Let p(o) = 10*f(o) - 6*m(o). Calculate the remainder when 16 is divided by p(5).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0\/1*2\/((192\/(-6))\/(-8))\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-6)\/58)\/(6\/4). Let n = z + -52\/87. Let c = 1 - -3. Which is greater: n or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(4 + sqrt(8)\/sqrt(4))*3.\nAnswer: 15*sqrt(2) + 60","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.0271471309743 + 0.3.\nAnswer: 0.3271471309743","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w - 116 + 91 = 0. Solve 5*y - 2*d = -6, -y + 1 = 2*d - w for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) be the first derivative of -19*g**2\/2 + 14*g - 173. Let z(b) = 13*b - 9. Give -5*q(v) - 8*z(v).\nAnswer: -9*v + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find a such that 2*a**4\/5 - 16306*a**3\/5 - 26110*a**2 - 212174*a\/5 - 97932\/5 = 0.\nAnswer: -6, -1, 8161","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((k**(-2\/35)*k)\/(k**16*k))**(10\/11))**24)**(4\/39) assuming k is positive.\nAnswer: k**(-35968\/1001)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 1*-5*(16\/(-10))\/4?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -8.93 less than 83?\nAnswer: 91.93","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*c + 2 = -2*j, -4*j + 3*j = 170*c - 173*c for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -5.058126 rounded to one decimal place?\nAnswer: -5.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 160 minutes after 2:26 PM?\nAnswer: 5:06 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o - 7 = -2*v + 7, 5*v = -o + 17. What is the units digit of 1\/v - (-285)\/12?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = -247*a + 36080. Give g(160).\nAnswer: -3440","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-12*k + 1973 - 1973)*(0*k**2 - 2*k**2 + 4*k**2)*(-7*k**2 + 2*k**2 - 2*k**2).\nAnswer: 168*k**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = a**2 + 5*a + 6. Let r(z) = z - 11. Let v = 7 + -1. Let l be r(v). Let o be c(l). Calculate the greatest common factor of 12 and o.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-2046)\/(-616))\/(-31))\/(3\/(-8))?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -51150041 (base 6) to base 12\nAnswer: -5a5321","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -369\/4, 0.2, 0.4?\nAnswer: -369\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((l\/(l**(-3)\/l))\/(l\/(l\/l**4)*l))**(-37))**(20\/9) assuming l is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = 4*q**2 - 2*q. Let u be z(-2). Let c be (-2)\/(-20) - 2\/u. Let b be 0 - (-1)\/(-4)*c. Solve -2*o - o - 3 = -4*t, -3*o - 2*t + 15 = b for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.2 in 18, -2, 0.2, 0.23?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is (-9)\/99 - (2 + (-2034)\/(-253) + -10)?\nAnswer: -3\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(2\/9))**(-5\/3)*(r**(-2\/7)*r)**(6\/7) assuming r is positive.\nAnswer: r**(320\/1323)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v - 20 = -11*v. Solve -v*d - 2 = -0 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = 3*b**2 + 2*b - 5. Let u be h(0). What is the units digit of (18\/33)\/(u\/(-55))?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = -j**2 + 589*j - 3510. Determine k(6).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-4)\/52)\/(5\/5).\nAnswer: -1\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + ((3*sqrt(65)*3 - sqrt(65))*-4)\/(3*sqrt(1280)).\nAnswer: -2*sqrt(13)\/3 + 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-3)\/6*28\/2. Let w = v - -9. Suppose 0 = w*d - 35 + 5. Is 5 a factor of d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = 4*w. Let p(k) be the third derivative of 0*k**3 + 28*k**2 - 1\/3*k**4 + 0*k + 0. What is q(p(u))?\nAnswer: -32*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jvzvz. What is prob of picking 1 z and 1 v?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from vojoazzas. Give prob of sequence zaz.\nAnswer: 1\/126","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24 = -9*j + 4*j - s, -s = -4*j + 21. Suppose -4*x + b - 2*b + 100 = 0, -j*b - 52 = -3*x. Does 12 divide x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = 151*o - 2. Is a(1) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s + 3*s = 0. Let v(k) = k**3 + k + 16. Let f be v(s). Let x = f - 2. What is the remainder when x is divided by 5?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from xaajsbk. What is prob of picking 1 j and 3 k?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 2*j**3*z + 81*j**3 + 368*j*z - 193*j wrt z?\nAnswer: 2*j**3 + 368*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:07 PM and 8:06 AM?\nAnswer: 719","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 3 - 0 - (2 + -4). Suppose x = -3 + r. Let h(q) = 6*q**2 - 5*q + 5. Let n(y) = -y - 5 + 6 + 3*y**2 - 3*y**2 + y**2. Calculate x*h(j) - 10*n(j).\nAnswer: 2*j**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 21\/65 - -1\/13. Let n(m) = m**2 + 22*m - 21. Let z be n(1). Which is the second biggest value? (a) j (b) z (c) 1 (d) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*f + 24 = 2*q, -3*f + 7762*q - 7767*q - 5 = 0 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 1064907881 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2.7? (a) 769 (b) -3 (c) -2\/15\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 9780 - 9780.1. Which is the second smallest value? (a) d (b) 2 (c) 226\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (39\/((-2652)\/17))\/(2\/104)\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_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: What is the product of 4 and 101874504?\nAnswer: 407498016","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = 15*g - 548. Let q be i(37). Solve -q*h + 3*h = 0 for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 12988344 is divided by 498.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 9632 and 434.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 518 + -171. Let h = r - 346.99837. Round h to 4 dps.\nAnswer: 0.0016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 9 - 7. Suppose 3*r + 2 = 11. What is the second derivative of 3*x + 3*x - 3*x**3 + g*x**r - 4*x wrt x?\nAnswer: -6*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 250 - 154. What is the greatest common divisor of 64 and q?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find d, given that 8*d**4 - 5282*d**3 - 9336*d**2 + 45032*d - 10592 = 0.\nAnswer: -4, 1\/4, 2, 662","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -662, -1318, -1314, -650, 674?\n\"Answer: 330*h**2 - 1646*h + 654","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 - 3*v + 1\/3*v**3 + v**2 = 0. What is v?\nAnswer: -3, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:08 AM and 12:03 PM?\nAnswer: 235","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 17 + -14. Let b(m) be the first derivative of -9*m**2 - 4*m - 20\/3*m**g - 1 + 24\/5*m**5 + 5\/3*m**6 + 2*m**4. Suppose b(q) = 0. What is q?\nAnswer: -1, -2\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = -3*b**2 + 4*b**2 - 56*b - 55*b + 111*b. Let t(j) = -19*j + 4. Calculate c(t(d)).\nAnswer: 361*d**2 - 152*d + 16","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5988 divided by 4.\nAnswer: -1497","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: ((-32)\/(-10))\/(2\/4*1476\/(-5535))\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 2\/(-4)*102\/(-255)*(-3355)\/11\nAnswer: -61","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -2\/25, 3, -1\/2, 2\/5, 19 in descending order.\nAnswer: 19, 3, 2\/5, -2\/25, -1\/2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find f such that f**3\/3 + 4378*f**2\/3 + 4804828*f\/3 + 9557192 = 0.\nAnswer: -2186, -6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) be the first derivative of 2*s**3\/3 + 32*s**2 + 512*s + 44. Let v(y) = 0. Calculate y.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 j and 1 a when two letters picked without replacement from aaljttctlw?\nAnswer: 2\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_test"},"subset":"dm_maths"} +{"text":"Question: What is (3 - 8) + (37 - 26)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = 13*q**2 - 5*q + 8. Let s be (13 - 14)*(-20)\/2. Suppose 0 = -4*f - 10 - s. Is c(f) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 5653, 22615, 50869, 90409, 141229, 203323, 276685, 361309?\n\"Answer: -s**3 + 5652*s**2 + 13*s - 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 33 divide 135\/(-18)*1584\/(-8)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*w**3 - 40*w**2 - 108*w - 72 = 0 for w.\nAnswer: -6, -3, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + -2 + sqrt(432) + sqrt(432) + sqrt(432))**2 + 1 + (sqrt(432) + sqrt(432) + 0)*-5*6.\nAnswer: -792*sqrt(3) + 3890","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 21*x - 11*x - 10080. Does 42 divide x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1\/4)\/(-1*63\/18)?\nAnswer: -1\/14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1288, 1289, 1290, 1291, 1292, 1293?\nAnswer: 1294","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = 1645*r - 50. Let s be t(14). What is s rounded to the nearest 1000?\nAnswer: 23000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) be the third derivative of l**5\/60 + l**4\/24 - 3*l**3\/2 - l**2 - 7. Give w(-3).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -5 + 10. Suppose -3*m = -0 + 3. Which is the nearest to m? (a) -1\/3 (b) 4 (c) w\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-276)\/(-3)*3729\/(-3729)\nAnswer: -92","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = -5*t + 63. Let d = -30 + 32. Let k be (d\/(-8))\/(6\/(-24)) + 76. Calculate the highest common factor of t and k.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 653 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:37 PM and 3:22 PM?\nAnswer: 165","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3710087 (base 10) to base 7.\nAnswer: -43351403","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (-68)\/(-24)*30\/3315?\nAnswer: 1\/39","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1.91 + -144.91. Let t = 143.0107 + j. What is t rounded to 3 decimal places?\nAnswer: 0.011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000101543358 rounded to seven dps?\nAnswer: -0.0000102","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = 2*l - 3. Let t(u) = -u**2 - 5*u - 3. Let o be t(-3). Let f be b(o). What is the remainder when 53 is divided by (2 - 44)*f\/(-9)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) be the second derivative of -223*b**4\/4 - 11*b**3\/3 + 9*b**2\/2 - 369*b. What is the second derivative of l(p) wrt p?\nAnswer: -1338","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v - 7*d = 6, 0 = -24*d + 19*d - 15. Let l(z) = 66*z**3 - 10*z**2 + 10*z - 10. Let k(x) = 22*x**3 - 3*x**2 + 3*x - 3. Determine v*l(w) + 10*k(w).\nAnswer: 22*w**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 23811.\nAnswer: 3, 7937","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 708, 728, 748, 768?\n\"Answer: 20*f + 688","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -53*y - 118*y + 54*y - 64*y - 6697 = 0 for y.\nAnswer: -37","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 654338?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-915)\/10)\/(-1)*2. Let d = t + -175. Solve -11*z = -7*z + d for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 11309 and 112144?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8521053958.\nAnswer: 2, 3581, 1189759","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 4 - 3. Let i = 0.8 - h. Let t = i - -0.20000001. What is t rounded to seven dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-s**2 + 0*s**2 + 3*s**2)*(850799 - 850799 - 1691*s) - 13*s + 13*s - 6*s**3.\nAnswer: -3388*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -79\/300 and -199\/19500.\nAnswer: 19500","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 472284 and 2502?\nAnswer: 65647476","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 761917273 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p**(-1\/5)*p*p*p**(-2))\/((p\/p**(5\/3)*p*p)\/p*p**(1\/12)))**(4\/7) assuming p is positive.\nAnswer: p**(-37\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 15131 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v + 2*n = 4, n - 3 = -4*v - 1. What is the units digit of (-1 + -37)*(5 - (11 + v))?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2725031*p**3 - 5450082*p**3 + 2725013*p**3.\nAnswer: -38*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -53\/5208 and 45\/6944?\nAnswer: 20832","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 26130?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) be the first derivative of -13 - 10*d**2 - 1\/15*d**4 - 4\/3*d**3 + 14*d. Let j(t) be the first derivative of o(t). Factor j(f).\nAnswer: -4*(f + 5)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -8 + 5*j**2 + j + 0*j**2 + 10 + 129*j**3 - 150*j**3 + 675*j**3 in the form s + z*j**2 + x*j + m*j**3 and give x.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-56)\/490)\/((-2)\/(-5)). Let g(w) = 35*w**2 - 163*w + 8. Let t be g(3). What is the closest to 0 in t, 0.2, l?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-2 - -1 - -2)*-2. Let g be 4\/i*78\/(-2). Suppose -4*m + 2 = -g. Solve -2*q + 12 = -3*z, -2*z - 3*z - m = -5*q for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-6 + 1 + 3)*(-30*n + 61 + 61 - 123)*(-4*n + 0*n + n)*(-1 + 1 - 3*n) in the form h*n**3 + q*n**2 + z*n + d and give h.\nAnswer: 540","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = -1 + 1 + 7*r**2. Suppose -4*u + 5*z + 26 = 0, 3*u - 3*z + 0*z = 18. Let h(d) = -u*d**2 - d**2 - 3425*d + 3425*d. Calculate h(t(c)).\nAnswer: -245*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1488292 and 316.\nAnswer: 117575068","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(180)*2 + sqrt(180))\/sqrt(9))\/sqrt(10).\nAnswer: 3*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.055 and -30?\nAnswer: -1.65","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -83*(-3 - -1)*2\/4. Suppose 0 = 8*u - x + 27. Solve t - 10 = 2*b + 5*t, 5*b + t = -u for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) be the first derivative of -9*h**2\/2 - 3*h - 9. Does 17 divide j(-7)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = -1417*l**2 - 2 + 7*l + 1416*l**2 - 8*l + 6*l**3. Let p be x(1). Solve -5*z - 2*f - 5 = 0, f - p*f = -5 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -710 - -726. Sort -1, f, 0.\nAnswer: -1, 0, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 45 and 351?\nAnswer: 1755","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 1.3542, 0.03.\nAnswer: -4, 0.03, 1.3542","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 78598 = -1624*l + 273478 for l.\nAnswer: 120","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the seventh biggest value? (a) -0.2 (b) 5 (c) 4 (d) -1 (e) 75195 (f) 3\/2 (g) 0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 3 - -3. What are the prime factors of (-3 - (2 - 6)) + q?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = 0*w**2 + 0*w**2 + w**2. Let h(l) = 150 - 7*l - 150. What is h(x(q))?\nAnswer: -7*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2411*p**6*r**3 - 7305*p**3*r**3 - 4276*p**2 + 1086*r**3 wrt p.\nAnswer: -289320*p**3*r**3 - 43830*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*y = -y + 21. Suppose y*x + 6 = -3*w, -4*w = -3*w - 5*x - 22. What is the units digit of w?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 f when three letters picked without replacement from snnssfsffskfs.\nAnswer: 2\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17336 = 86*m - 42*m. Let k be 2*(-1126)\/(-4)*1. Let j = m + k. List the prime factors of j.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1825998 is divided by 400.\nAnswer: 398","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Divide -9 by 16280.\nAnswer: -9\/16280","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 179724653?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 89947.17 years?\nAnswer: 899.4717","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 286639?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -14.3 + -63.7. Let q = -62.2 - n. What is q rounded to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 82 is divided by 0 - (-2 - -5 - 20).\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2344724 to the power of 1\/2, to the nearest integer?\nAnswer: 1531","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -107*p**2 - 455 + 35*p**2 + 37*p**2 + 40*p**2 to k*p**2 + j + g*p and give k.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from qtttqq. Give prob of picking 1 q and 3 t.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 866475.2g?\nAnswer: 866475200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-s + 2*s + 2*s)*(-2*s + s + 3*s + (-5 + 1 + 1)*(-2*s - 2*s + s))*(3 - 6 + 1).\nAnswer: -66*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 909 is divided by 233.\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 2967?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*b - 2*b + 8. Let v(a) = 6 - 6 + a**b. Let l(k) = -2*k + k + 0*k. Give l(v(h)).\nAnswer: -h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-465)\/6*(-4)\/(-40)*-8. Suppose n - 2*i - 30 = -6, -3*n = 4*i - w. What is the greatest common factor of 242 and n?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 4 - 518ca?\nAnswer: -518c6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = b**3 - 12*b**2 - b - 3. Let y be w(12). Let n be 7 + 4\/8 + y\/6. Find the second derivative of 18*h - 949*h**3 + 949*h**3 + 23*h**n wrt h.\nAnswer: 460*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -47\/94672 and -137\/5176704.\nAnswer: 502140288","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 13709*z**3 - 13726*z**3 + 6*z**2 - 6*z**2.\nAnswer: -17*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*l = -5*h + 27 - 22, 4*h - 2*l = -6 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -1882 - 8261?\nAnswer: -11253","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(-11)\/o**(-4\/13)*o**(-2\/9)\/o**3)**(-1\/22) assuming o is positive.\nAnswer: o**(74\/117)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from mnnmnnlllnlnmmmx. Give prob of sequence lmlm.\nAnswer: 1\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 13079, 26178, 39273, 52364, 65451, 78534, 91613?\n\"Answer: -2*t**2 + 13105*t - 24","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = -y**3 + 48*y**2 - 46*y - 91. Give a(47).\nAnswer: -44","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 8\/(-30) + (2550\/(-125) - -21). Which is the nearest to v? (a) 9 (b) -3\/5 (c) -4 (d) -1\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 36847 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -202910 rounded to the nearest 100000?\nAnswer: -200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o**(3\/23)\/o*o)\/(o\/((o\/(o\/o**(2\/27))*o)\/o)))\/(o**(-46)*o**18) assuming o is positive.\nAnswer: o**(16894\/621)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from nnenvvnvevne. Give prob of sequence eve.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}