diff --git "a/data/dm_maths/full_data/4379_11255.jsonl" "b/data/dm_maths/full_data/4379_11255.jsonl" new file mode 100644--- /dev/null +++ "b/data/dm_maths/full_data/4379_11255.jsonl" @@ -0,0 +1,10000 @@ +{"text":"Question: Suppose -c - 4*v = 2*c - 37, 3*c - v = 47. Find the common denominator of c and 6\/((-40)\/(-82)*1).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 138, 285, 432?\nAnswer: 579","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 b and 1 i when two letters picked without replacement from {a: 4, i: 1, b: 3}?\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.07783 rounded to three dps?\nAnswer: 0.078","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 30509864?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 12 - 100110022?\nAnswer: -100110010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 7\/2 of a gram?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*i - 2*o = -4, -247*i + 243*i + 2*o - 10 = 0 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = -5*u**2 + 342*u + 1693. Give i(74).\nAnswer: -379","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -1ca - 0?\nAnswer: -1ca","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((r*r*r*r\/r**(-3)*r)\/(r\/(r*(r\/r**3)\/r)))**(-3\/8))**(1\/19))**(-48) assuming r is positive.\nAnswer: r**(90\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 3407, 4865, 6319, 7769, 9215, 10657?\n\"Answer: -2*k**2 + 1464*k + 1945","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/4 in 2, 262, 0.1, 4, -115?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*sqrt(90)\/sqrt(3))\/(5*sqrt(150)) - (0 + (2*sqrt(5) + sqrt(5) + -1 - (sqrt(80)\/sqrt(4))**2)).\nAnswer: -81*sqrt(5)\/25 + 21","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*k + 23 - 8, k = 3*a - 10913. What is the common denominator of -61\/40 and (-1)\/3*a\/(-480)?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -42 - -115. Suppose -3*x = 6, -4*x = 5*m - 9*x + 165. Let v = 60 + m. What is the remainder when z is divided by v?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 104483 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*o - o**4 - 4*o + (3*o**2 - 4*o**2 - 2*o**2)*(-2*o**2 + 0*o**2 + 0*o**2) + (1 - 2 + 0)*(0*o**4 - 2*o**4 + 0*o**4) + 1 - 1 + o**4.\nAnswer: 8*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 < 1\/108068?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (16\/(-4) - 4) + -1. Let a = 25 + t. Does 4 divide a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 33\/13048 and 67\/87142.\nAnswer: 2439976","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = 4*j**3 + 20*j**2 - 3*j + 4. Let s be k(-4). What is the greatest common factor of s and 20?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a = -3*i - 4, -2*i = -a - 4*i + 6. Suppose 0 = -71*g + 66*g + 10. Suppose a*z = -g*l + 14, -z + 3 = 5*l - 8. What is the units digit of z?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0.24 - -1.76. Let g = 1291\/56 - 164\/7. What is the third biggest value in c, g, 3?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 746238364 a multiple of 197?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Divide 56395 by 5.\nAnswer: 11279","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 3349 + -2057. What is the units digit of h\/52 - (-2)\/13?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 883733337?\nAnswer: 3, 31, 113, 28031","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:36 AM and 1:08 PM?\nAnswer: 692","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -138 + 86. Let q = -31 - u. Solve 2*h + q = -3*f, -3*f - 14 = 3*h - 2*f for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = n**3 - 3*n**2 + 2*n - 3. Let s be t(3). Suppose -b + 372 = s*b. Suppose -4*z - f + b - 24 = 0, -f = -5*z + 84. List the prime factors of z.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t - 3*w + 283 = w, -386 = -4*t - w. Let x = -69 + t. Solve 5*y + x = c, -y + 3*c - 12 - 2 = 0 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 89604 and 99560.\nAnswer: 896040","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.01 and 31.63.\nAnswer: -0.3163","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m - 4 = -5*c - 0*m, -5*c = -3*m - 8. Let n = -30 + 60. Let r = n + -31. Put r, -3, c in decreasing order.\nAnswer: c, r, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 1001110 + -110212121022?\nAnswer: -110211112212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 27768 divided by 14?\nAnswer: 13884\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -83 + 85. Put f, -0.2, 4\/3, -1 in descending order.\nAnswer: f, 4\/3, -0.2, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*r + 4*r + 99362 - 99362 - 9*r**2.\nAnswer: -9*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert -10011111001 (base 2) to base 7.\nAnswer: -3466","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -117 + 137. Solve 2*j - t = 7*j for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0.28 or -1393?\nAnswer: 0.28","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m*m*m\/m**9)\/(m**(7\/2)*m*m)*m\/(m*m**(-2\/13))*m*m**20 assuming m is positive.\nAnswer: m**(251\/26)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5 + 8 - 3 - 4*f**3 = 0 for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 8928.7 - 8929. Which is the nearest to 1? (a) 0.3 (b) -4 (c) -20 (d) w\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-u + u - u)*(-1 + 3*u + 1)*(-6 - 1 - 10) in the form y*u**2 + s*u + q and give s.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from evvvrvrvvvvtvevv. What is prob of sequence ere?\nAnswer: 1\/840","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -15*t**2 + 2*t - t - t to the form f*t + o + i*t**2 and give i.\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = 7*m**2 + 65*m + 13. Let n(l) = -2*l**2 - 15*l - 3. Let a(g) = -26*n(g) - 6*p(g). Let q(z) = -18*z. Give q(a(j)).\nAnswer: -180*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*i = 4*i + 5 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 2021001002 (base 3) in base 4?\nAnswer: 22313102","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 6\/342404275 or -1?\nAnswer: 6\/342404275","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 3742553?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3212*q + 4*p + 40 = -3216*q, 5*q - 2*p = -20*p - 232 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 35437167 and 59607.\nAnswer: 1611","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = -q**2 + 7*q + 2. Determine h(8).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**18*q)\/(q\/(q*(q*q*((q\/(q*q**24))\/q)\/q)\/q*q))*(q\/(q*q*q*q*((q**5\/q*q)\/q)\/q)*q)\/q**12 assuming q is positive.\nAnswer: q**(-22)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -19 + 0 - -10 - 3 - -13\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:09 PM and 9:31 PM?\nAnswer: 202","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 c when two letters picked without replacement from {z: 2, c: 10}.\nAnswer: 15\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s = 0, x + 2*s = 4*x + 522. Let c = x + 222. Let v(z) = -z**3 + 11*z**2 - 7*z + 6. Let t be v(10). What is the highest common factor of t and c?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 1, -0.5, 33, -17?\nAnswer: 33","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 3 - 1. Suppose 1 = w + 4*r, g*w - 4*w = r - 30. Let d = w - -116. Is d composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 7896.929 millennia?\nAnswer: 7896929","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Determine n, given that -n**5\/9 + 8*n**4\/9 + 145*n**3\/3 - 4450*n**2\/9 + 11000*n\/9 = 0.\nAnswer: -22, 0, 5, 20","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -35 + 34.99898. Round g to 4 dps.\nAnswer: -0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-2)\/3*327\/4. Let w(x) = x**2 - 11. Let p be w(8). Let v = z + p. Sort v, -0.2, -3 in decreasing order.\nAnswer: -0.2, v, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*f**4 + 0*f**4 - 4*f**4 + (-f**2 - 6*f**2 + 3*f**2)*(-f**2 - 1 + 1).\nAnswer: 2*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 j and 1 n when four letters picked without replacement from njjjjnjnjj.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 24347*w**6 + 6*w**2 - 2*w + 171.\nAnswer: 2921640*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o = 2*m - 3*m + 18082, -o = m - 4519. Suppose -2*t = 9*t - o. What is the tens digit of t?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -153 + 152. What is the nearest to -4 in -0.2, -0.4, s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p + 2 = 3*p. Suppose -2*j = -2*y - 28, -3*j - 2*j + 79 = -p*y. Is j a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.1813 times 316\nAnswer: 57.2908","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = -2170*x. Let h(w) = -7219*w. Calculate h(c(a)).\nAnswer: 15665230*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0.5, 26, -3, -0.3, 6?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*g**2\/5 + 221196*g\/5 - 3227330.\nAnswer: -2*(g - 110525)*(g - 73)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2116 = 9*f - 3923. Let g = f + -669. Let m be 10\/(-26)*24\/(-20). Is m <= g?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -502, -520, -526, -514, -478, -412?\nAnswer: -310","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 - 6 = -2*m. Let j be (-48)\/1*(-2 + 1). Suppose -4 = -m*n + j. What is the remainder when 49 is divided by n?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -44 + 34. Let d(a) = -3*a - 27. Let z be d(m). Suppose -x = -3 - z. What is the smallest common multiple of 21 and x?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 4, 74, 11, 2, 0.3, 2\/5, -3\/2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -x**3 + 3*x**2 + 16*x - 48.\nAnswer: -(x - 4)*(x - 3)*(x + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 11690095 a multiple of 72?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) be the first derivative of 890*a**3\/3 - 129*a**2 + 721. Find the second derivative of o(l) wrt l.\nAnswer: 1780","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 73\/2415 and 29\/210.\nAnswer: 4830","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = 11*t + 22. Let n be b(8). Let c = n - -827. Is c prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -10*((-66)\/(-12))\/11\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 3\/40 of a milligram?\nAnswer: 75","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in twenty-nine thirds of a year?\nAnswer: 116","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 27983?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 28973135 or 28973134?\nAnswer: 28973134","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 3149700 divided by 1049900?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {l: 1, q: 1, x: 1, n: 2, f: 2, o: 2}. Give prob of sequence noo.\nAnswer: 1\/126","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = -2*a**2 - 2*a + 25. Let d be u(5). Let f = d + 87. Let q = f + -55. Sort 11, -5, q in decreasing order.\nAnswer: 11, q, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -u - 78 = 4*a, -3*u - 254 = -a - 85 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = -k**2 - k - 1. Let o(w) = -3*w**2 - w - 6. What is -5*m(f) + o(f)?\nAnswer: 2*f**2 + 4*f - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = -12*d**2 + 542*d - 78. Let i be x(45). Solve -16 = -5*z + 4*n, -8*z + 3*n = -i*z + 19 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3\/(-27))\/(2\/(-9))?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11572 = -4193*j + 3141*j for j.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*r = 4*r + 6 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 5 + -1 - (29 - 24) - 0\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1 - -74. Calculate the remainder when 215 is divided by n.\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = -h**3 + 3*h**2 + 3*h. Suppose 0 = k - 0*k. Suppose 16 = 5*d - 4. Let a(i) = 0*i + k*i**3 + 11*i + 11*i**2 - d*i**3. What is -6*a(f) + 22*j(f)?\nAnswer: 2*f**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is -49120 <= -49122?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 110 - 1010110000100?\nAnswer: -1010101111110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 776*d**2*o*t**2 - d**2*o*t - 7*d**2 - 2*d*o*t + d*o + 12*d*t + 11518*o*t**2 + 143*t - 67 wrt t.\nAnswer: 1552*d**2*o + 23036*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: (3 - 3) + -6 - (-1 + 0)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -3\/4189184 less than or equal to -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2942459150 to the nearest integer?\nAnswer: 1433","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = -13*n**2. Let o(u) = 4*u**2. Give r(o(y)).\nAnswer: -208*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -55678, -55677, -55676, -55675?\nAnswer: -55674","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*x**5 + 37*x**4 + 41*x**3 + 8*x**2.\nAnswer: x**2*(x + 1)*(x + 8)*(4*x + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c - j - 42 = 0, -5*c - 6*j + 3*j + 84 = 0. Let l be 0 + 36\/c - 3. Which is greater: 0 or l?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 337024307 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -30*707\/7272*(-24)\/63.\nAnswer: 10\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 1 - (-170)\/12*-11. Let k = p - -155. Sort -1\/3, k, 5\/4, -0.4 in decreasing order.\nAnswer: 5\/4, k, -1\/3, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 180 (base 11) in base 2?\nAnswer: 11010001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 5794, 11728, 17792, 23974, 30262?\n\"Answer: -2*a**3 + 77*a**2 + 5717*a + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = -s**2 + 13*s - 2. Let t be w(13). Put t, -140, 3 in decreasing order.\nAnswer: 3, t, -140","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.1 - -0.16. Let t = r + -2.06. Suppose 4*x = 20, 5*x = -2*m + 12 + 5. What is the third smallest value in m, t, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -3*g**3*w**3 - g**3*w**2 - 4*g**3*w - 2*g**2*w**3 + 14*g*w**4 + 10*g*w wrt w?\nAnswer: -18*g**3 - 12*g**2 + 336*g*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) be the second derivative of -4*q**6\/75 - 26*q**5\/25 + 23*q**4\/6 - 74*q**3\/15 + 3*q**2 - 2*q + 5. Find b, given that c(b) = 0.\nAnswer: -15, 1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 h, 1 e, and 1 v when three letters picked without replacement from vooevoowhh?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 96\/40*(-1760)\/128\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 29a (base 12) in base 4?\nAnswer: 12112","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5 + 23 - (51 + -41).\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1510.55 milliseconds to seconds.\nAnswer: 1.51055","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 369 = 2*m - 357. Calculate the common denominator of m\/(-30) + 4 - -3 and (-890)\/12*(120\/25 + -5).\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 999 to the nearest integer?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 7257, 27543, 60855, 107193, 166557?\n\"Answer: 6513*p**2 + 747*p - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*o - 2*v + 12, -3*v + 0*v = 0. Suppose -o*m - 1 = -9. Solve -y = -m*y for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = 5*x**2 + 14*x. Let g be p(-3). Solve 0 = 2*n - g*n for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -9 - ((-1 - 77) + (208 - 220) - (-1 - -9)).\nAnswer: 89","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = 2*h**3 + 11*h**2 - 7*h - 3. Let f be m(-6). Suppose -f*o + 387 = 3*p, 0 = -4*o - 12. What is the highest common factor of p and 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -3 - -7. Suppose 4*j = -k*u - j + 13, 4*j = 2*u. Suppose -n - 2*q = -1, -3*q - u*q = 25. Is n a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = -2*g - 4. Let d be f(-4). Let m(j) = j**2 + 7*j - 8. Let p be m(-8). Solve 0 = -5*o + 2*v - v - 13, p = -d*o - v - 5 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 410989547 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 46144*r - 690 = 46213*r for r.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 g, 1 e, and 1 r when three letters picked without replacement from wwreewwgwwwwww.\nAnswer: 1\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) be the second derivative of -m**5\/20 - m**4\/3 + m**2 - 2*m. Suppose 0 = 10*p + 632 - 172. Let r = -50 - p. Give k(r).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000007064914247 rounded to seven dps?\nAnswer: -0.0000007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3*4\/90)\/((-9)\/30)?\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -11917 and -364.\nAnswer: 4337788","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 389655299 to the power of 1\/10, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = y**2 - 10*y - 6. Let n be p(5). Let m = n - -70. What is the units digit of m?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*n - 314 = -307 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = q**3 - 11*q**2 + 17. Give o(11).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when -69*(34\/(-6) + 5) is divided by 12.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p - 3*u + 14781 = 0, 2*u = -9*p + 10*p + 4929. Let l = p - -8734. Is l a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = 236*z + 703. Calculate y(-3).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4544.\nAnswer: 2, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = 3*o - 51. Let k be y(23). Find the second derivative of -11*p + 23*p - 29*p**5 + k*p**5 wrt p.\nAnswer: -220*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 22*q**2 - 12*q**2 + 28*q**2 - 5*q**2.\nAnswer: 33*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2 (base 14) to base 16.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1.94826 + -0.05174. What is the second smallest value in 4\/3, y, -0.038, -5?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = 7*w**2 + 4*w + 13. Let l(h) = 4*h**2 + 2*h + 7. Suppose -1 = 2*y - 15. Let n(j) = 4*j - 17. Let k be n(y). Give k*l(i) - 6*r(i).\nAnswer: 2*i**2 - 2*i - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 29645149?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 2\/(-2) + ((-131397)\/(-14595) - 8). Which is greater: w or 0?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 1455 - -1?\nAnswer: 1456","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Add together 2.84 and 3766679396.077.\nAnswer: 3766679398.917","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from oooooxxxoooooxoxox. Give prob of picking 3 o and 1 x.\nAnswer: 22\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find c such that -5*c**4 - 130*c**3 - 385*c**2 + 3100*c + 3360 = 0.\nAnswer: -21, -8, -1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -3b20 + 2?\nAnswer: -3b1c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 6.3692 rounded to zero decimal places?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = 31*m**2 - 980*m. Let o(d) = -d + 11. What is l(o(q))?\nAnswer: 31*q**2 + 298*q - 7029","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 7265448.975 rounded to the nearest one hundred thousand?\nAnswer: 7300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-11 - -8) + -1 - -11.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence lgdl when four letters picked without replacement from {g: 2, e: 2, v: 1, l: 10, d: 2, u: 3}.\nAnswer: 1\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = -4788*k - 363891. What is u(-76)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Work out 5 - 58926457936494.\nAnswer: -58926457936489","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.04 in -0.6, 4, 1.75?\nAnswer: -0.6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 3 - 3*f + 1)*(2*f**2 + f**2 - f**2).\nAnswer: -6*f**3 + 4*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = -3*k - 543. Let i be f(0). Let v = -166 - i. Is v a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is five quarters of a day in hours?\nAnswer: 30","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify i**6*i\/i**(-1\/14) assuming i is positive.\nAnswer: i**(99\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -284*h - 106*h = 211*h + 16227 for h.\nAnswer: -27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 71\/363 and -139\/6.\nAnswer: 726","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -28 + 17\/(534\/24 - 22)?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 9\/205 (b) -0.1 (c) -6 (d) 3 (e) 0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 991965170?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: (0 - -1) + -191 + 195 - (-1 - -8) - 56\nAnswer: -58","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*h = 270*h + 7254 for h.\nAnswer: -26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k + 19 = 5*o, -5*k = 2*o - 5*o. Let w = 7 + -5. Suppose -5*r = -w*s + 14, -2*r + r = s. Which is smaller: s or k?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-12)\/(-10) + (-1)\/5. Let v(u) be the first derivative of u**4 + u**3\/3 - u**2\/2 + 9. Calculate v(a).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -2, -78, -0.3?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = -p**2 - 4*p + 3. What is k(-7)?\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 1791130397 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*v + 6 + 2. Let k = v + -2. Factor 2*n + 2*n**3 + 0*n**5 + k*n**5 - 6*n**3.\nAnswer: 2*n*(n - 1)**2*(n + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine i so that 1\/8 - 1\/4*i**2 + 0*i**3 + 0*i + 1\/8*i**4 = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:01 AM and 9:24 AM?\nAnswer: 203","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1 or 3\/3775?\nAnswer: 3\/3775","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -24400 + -301?\nAnswer: -25101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mm when two letters picked without replacement from ymmmmmmmomyo.\nAnswer: 14\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -5 and -0.736?\nAnswer: 3.68","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*b - 1 + 4 + 0*b)*(4 - 3 + 4).\nAnswer: -10*b + 15","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2273861 by -1.\nAnswer: -2273861","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-174)\/(-1015))\/((-10)\/(-200)))\/((-2)\/49)?\nAnswer: -84","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/3, 13\/25, 4, -416\/7, -2\/19.\nAnswer: -416\/7, -1\/3, -2\/19, 13\/25, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = -2*z**2. Let f(r) be the first derivative of -3*r**2\/2 - 94. Determine o(f(m)).\nAnswer: -18*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2173 - 2168) + (-1 - (-14)\/(-11)) + 0?\nAnswer: 30\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = 10 + r - r**2 + 4*r + 0*r**2. Let j be o(6). Suppose f = 5*q - 4, -q + f + 0*f + j = 0. Solve -g + 0*a - 14 = 3*a, q = 2*g + a + 8 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*z - 162 = -0*z. Let x = z + 33. Calculate the smallest common multiple of 22 and x.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.27709 + 262.13709. Let y = g - 262. Put y, 4\/3, -2, 0.5 in increasing order.\nAnswer: -2, y, 0.5, 4\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -6*(-1 + 4\/8). Suppose 3*v - 477 = -t*d - 0*v, 4*v - 792 = -5*d. Suppose d = w - 93. Is w composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.1397 - -25.439.\nAnswer: 25.5787","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round 31.045757 to the nearest 10.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 q when two letters picked without replacement from ppppqpppppwppppppppp.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = -s - 66. Give b(-10).\nAnswer: -56","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 9 - 8. Let z = 1383 - 1375. Which is the fourth biggest value? (a) 3 (b) z (c) 2 (d) n\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 13295*r**3 + r - 23433 wrt r?\nAnswer: 79770*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o + 12 = 4, -4*u = -4*o - 4. Let m = 3 + -8. Let s = -653 + 657. Sort s, u, 3, m in descending order.\nAnswer: u, s, 3, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = 15*t**2 - 219*t - 1301. What is d(-6)?\nAnswer: 553","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*-5*((1 + sqrt(847))**2 + 4 + sqrt(847)) + (sqrt(847)*2 + -2)**2 + 3*sqrt(847)*-1.\nAnswer: -17908 - 946*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*b + 3 = 38 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -v**3\/8 - 3*v**2\/8 + 45*v\/8 + 175\/8.\nAnswer: -(v - 7)*(v + 5)**2\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = -1122*s. Let m(u) = -41*u**2. Calculate m(k(a)).\nAnswer: -51614244*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert 201210211 (base 3) to base 8.\nAnswer: 34150","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 176255 greater than or equal to 176256?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -120502 or -120498?\nAnswer: -120498","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -42631*y**2 + 170811*y wrt y.\nAnswer: -85262","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 26.6 - 22. Let x = -20 + 20.4. Let f = n + x. Which is the biggest value? (a) -0.2 (b) 2 (c) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -331 - -332. What is the nearest to t in 3\/4, -1\/3, -4?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 48*n**6 - 2*n**4 - 63*n**3 + 11325*n**2 - 21*n.\nAnswer: 5760*n**3 - 48*n - 378","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*u**2\/19 - 254692*u\/19 - 49842800\/19.\nAnswer: -2*(u + 196)*(u + 127150)\/19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = -m**3 - 5*m**2 + 6*m + 1. Let n be d(-6). Suppose g = -c + 3*c + 4, 2*g - 29 = -3*c. Suppose 0 + g = 5*x. Is x smaller than n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3226483777?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f - 103 = -4*z - 2*f, z = -f + 25. Suppose -l + 0*l + z = 0. What is the tens digit of l?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18 = 3*a - 0*a. Is ((-4)\/a)\/(12\/(-3438)) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 4, 271, 1\/4 in decreasing order.\nAnswer: 271, 4, 1\/4, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in 27, 1, 0, 26, -84\/5?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -236 - -246. Suppose w*u - 143 = -43. Let f(r) = r**2 + 4*r - 4. Let g be f(-4). Sort 5, u, g in decreasing order.\nAnswer: u, 5, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.2034419 rounded to 3 dps?\nAnswer: -0.203","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 17\/119 + 9\/84. Let w = 101.1 + -101. Which is the smallest value? (a) w (b) h (c) 1.2 (d) -1\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = -4*h + m, 3*h - 4*m = -0*m - 4. Suppose -11*j + 6*j + 1465 = h. Is j a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = 254*d + 6459. Let l be j(-25). Let m be 14\/8 + (-3)\/(-12). Does l = m?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rgrb when four letters picked without replacement from rglgbbsrbrb?\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in seventeen sixths of a millennium?\nAnswer: 34000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = 5*t + 10. Let p be w(-5). Suppose -c - 3*d = -4 - 39, c + 2*d = 39. Let j = p + c. What is the highest common factor of 128 and j?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -j**2\/12 + 4159187*j\/3 = 0. What is j?\nAnswer: 0, 16636748","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = -12*d + 3. Let v(h) = -39*h + 1. Let p(l) = -82*l + 1. Let c(f) = -4*p(f) + 9*v(f). What is -5*b(u) + 3*c(u)?\nAnswer: -9*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 r and 1 q when two letters picked without replacement from {q: 3, r: 12}.\nAnswer: 12\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 0.03*263551\nAnswer: 7906.53","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 123 divided by -4\nAnswer: -123\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Divide -17444943 by -2097.\nAnswer: 8319","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1007 + 1671. What is the highest common factor of f and 249?\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 45445 - -143.\nAnswer: 45588","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1110 + 2556. What is the tens digit of g?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 31318827 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 29d7d (base 14) in base 16?\nAnswer: 196fb","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -16\/11? (a) -0.1 (b) 4\/71 (c) -0.4 (d) 0.19\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1\/3)\/((-3)\/(-504)*-7)?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17*t + 10*t = 14 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.49 - 0.01. Which is the third smallest value? (a) 1\/6 (b) 2\/7 (c) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -2\/11, 3186\/19, 17\/4?\nAnswer: 17\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7288.\nAnswer: 2, 911","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 672 divided by -14?\nAnswer: -48","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17 = 3*w + 4*i - 8, -5*i + 26 = 2*w. Suppose -m + 2*n + 11 = w, 2*n - 40 = -3*m. Calculate the highest common divisor of 4 and m.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -35*b*r**3*v**3 - b*r**3*v**2 - 3*b*r**2*v**3 - 5*b*r**2*v + 2*r**2*v**3 + 7*r**2*v**2 - r*v**2 wrt r?\nAnswer: -210*b*v**3 - 6*b*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.3 + 0.2. Let d = 137\/77 - 18\/11. Which is the closest to n? (a) 0.5 (b) 3 (c) d\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (1 + -1)\/(5\/(-1 - 4)). Sort -12, 5, c, 1 in decreasing order.\nAnswer: 5, 1, c, -12","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 75755\/7644 - -4\/637. Find the common denominator of 69\/2 and i.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 5\/105*(-107)\/5 and ((-19670)\/390)\/(-7) - 9.\nAnswer: 1365","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) be the first derivative of -1891*v**6\/3 + 857*v**3\/3 - v**2\/2 + 11. What is the third derivative of t(h) wrt h?\nAnswer: -226920*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (144\/(-5))\/((-20)\/1206250). What is s rounded to the nearest one hundred thousand?\nAnswer: 1700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 238593265?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = v**2 + 9*v + 10. Let q be p(-7). Let s be -2 - 155074\/q*170. Suppose 25590643 = -2*u + s. What is u rounded to the nearest 1000000?\nAnswer: -10000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a - a = -t - 6, -5*a - 26 = -3*t. Let g(q) = 52*q**3 + q**2 - q - 1. Let f be g(-1). Is t\/6 - f\/9 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o\/(o**29\/o))\/o*o**(-6)\/o*o assuming o is positive.\nAnswer: o**(-34)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: ((90\/300)\/((-18)\/(-4))*18)\/((-612)\/120)\nAnswer: -4\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 105319 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = -2*l**3 - 2*l**2 + 4*l + 1. Let u be r(-3). Let o = 346 - 314. Suppose -6*g = -o*g + 5200. Calculate the highest common factor of u and g.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 0.052573 and 1.1.\nAnswer: 1.152573","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = -5*v**2 - 1. Let d(b) = -9*b**2 + 13*b. Let k(a) = 5*a**2 - 7*a. Let t(x) = 6*d(x) + 11*k(x). Calculate -q(j) - 3*t(j).\nAnswer: 2*j**2 - 3*j + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -130*c**2*d + d - 56 wrt c.\nAnswer: -260*c*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -84, -121, -148, -159, -148, -109, -36, 77?\n\"Answer: h**3 - h**2 - 41*h - 43","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = 5*j - 12. Determine i(-5).\nAnswer: -37","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -i**2 + 665*i - 107364.\nAnswer: -(i - 389)*(i - 276)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.35 - -0.05. Let t = -0.4 + 0.2. Let k = 1.14 - 0.14. What is the nearest to t in k, w, -4\/3?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -0.3 and 0.0678923237444.\nAnswer: -0.2321076762556","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 31076 is divided by 80?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-27)\/(-18)*6\/1.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 170*r**3 + 178*r**3 - 354*r**3.\nAnswer: -6*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 8331 - 1167. List the prime factors of u.\nAnswer: 2, 3, 199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in t - 1671 + 1671.\nAnswer: t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 7*c**3*o**2 - 5*c**3*o - 26*c**3 - 3*c**2*o**4 - c**2*o - c*o**2*r + 11*c*r + 2*o*r wrt o.\nAnswer: 14*c**3 - 36*c**2*o**2 - 2*c*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3 = -x, -2*m + 16 - 3 = -5*x for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 21861?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: (-23452)\/(-484) - (-2115)\/(-282)*8\/(-110)\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = -3*v**3 + v**2 + 5*v + 3. Let l be k(-1). Suppose -3 = y + s, l*y + 5 = 5*s + 13. Let x(f) = 19*f + 1. Determine x(y).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -61\/160 and -33\/10.\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = -2349*r - 35234. Calculate l(-15).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 42 a factor of 453810?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*h + 5*t = 15, -3*h - 4*t + 47251 = 47239 for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -81\/1120 and -10*204\/(-1800) + -2.\nAnswer: 3360","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 0 + 4)*(2*d + d - 4*d) + 2*d + 2*d + 0*d + (2 - 4 + 4)*(27*d - 2 - 64*d + 53*d).\nAnswer: 35*d - 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -8*r + 4579 + 56293. Is r prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = v**3 - 6*v**2 - v + 4. Suppose 5*u - 2*a - 28 = 0, -4*u + 2*a = -24 + 2. Let z be q(u). Calculate the remainder when z\/((-2)\/21) - 3 is divided by 5.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 18, 21, 4, -45, -138, -287?\nAnswer: -504","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 a factor of 101231111?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -67\/16 and -151\/37704.\nAnswer: 75408","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 316\/(17 - (-30840)\/(-1816))?\nAnswer: 79, 227","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 1, -8\/7, 4\/9, -2\/3, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 13399.06953 - 13399. What is t rounded to 3 decimal places?\nAnswer: 0.07","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1 times 1644.319?\nAnswer: -164.4319","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express -5*y**3 - 131*y**2 - 7*y**3 + 127*y**2 in the form m*y + z + p*y**3 + k*y**2 and give k.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9306 = -1189*a - 1177*a + 2465*a for a.\nAnswer: -94","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 215651 to the power of 1\/9, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ajl when three letters picked without replacement from {z: 1, l: 2, j: 2, a: 4, t: 10}.\nAnswer: 8\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) be the first derivative of 1\/2*r**4 - 1\/2*r**2 + 0*r + 0*r**3 + 1. What is the second derivative of a(x) wrt x?\nAnswer: 12*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s + 6 = 1. Let p be -2 - (-8 + 3)\/s. Solve -d + 9 = 4*x + 2*d, 3*x = -d + p for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = 4*s. Let y(j) be the third derivative of j**4\/24 + 47*j**3\/6 - 43*j**2 + 14. Determine r(y(q)).\nAnswer: 4*q + 188","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-27)\/9 - (-4 - 303). Let s = -29 + p. What are the prime factors of s?\nAnswer: 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jh when two letters picked without replacement from yjhyhjhhyjy?\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -15571857 - -73?\nAnswer: -15571784","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -311*b*l**2 - 9*b*l + 431*b + 199825*l**2 + 36 with respect to b.\nAnswer: -311*l**2 - 9*l + 431","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x = 4*g + 4 - 2, -3*g - 4*x - 14 = 0. Suppose -19 = 3*q - 5*t, -8*q - 4*t = -5*q + 1. Which is the nearest to g? (a) q (b) -0.3 (c) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -864, -3520, -7926, -14076, -21964?\n\"Answer: r**3 - 881*r**2 - 20*r + 36","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is y in 5*y**2 - 54073890*y + 146199278986605 = 0?\nAnswer: 5407389","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -119*n - 120*n - 100 = -235*n - 4*w, 2*w = 4*n + 92 for n.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 4.07585 decades?\nAnswer: 40.7585","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {y: 2, u: 10}. What is prob of picking 3 u and 1 y?\nAnswer: 16\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from efnfffee. What is prob of picking 1 f and 1 e?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3863996 is divided by 250.\nAnswer: 246","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(114) - (-3*sqrt(114)*3 - sqrt(114)))\/(3*sqrt(54))*3.\nAnswer: 11*sqrt(19)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = h - 1. Let y be k(7). Suppose 105 = y*b - b. Let l be (6 - -15)\/((-6)\/(-4)). Calculate the highest common factor of b and l.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = 74*t**2 + 41*t - 110. What is the remainder when g(-5) is divided by 48?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -17 + 43. Suppose k = -2*o + 24, -5*k = -4*k - 4*o - 42. Let x be ((-12)\/k*78)\/(4\/(-30)). What is the greatest common factor of x and m?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -4599, -9403, -14207, -19011?\nAnswer: -23815","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {m: 1, v: 2, e: 14}. Give prob of sequence vev.\nAnswer: 7\/1020","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 12*u - u**5 + 3*u - 3*u**5 + u wrt u?\nAnswer: -80*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4 = -g - 4*a, -5*g + 2*a - 7*a = -10 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Work out -10 + 10803433514153.\nAnswer: 10803433514143","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:48 PM and 7:54 PM?\nAnswer: 246","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 11011 (base 2) to base 6\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express -20*i**2 + 33*i**2 - 68*i**2 - 289*i + 265*i in the form s*i**2 + v + x*i and give x.\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = -p**3 - 7*p**2 + p + 8. Let t be y(-7). Let x be t - (1 + 3) - -18. Solve 3*l = x, -3*l = 2*m - 4*l + 11 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 465, 841, 1225, 1623, 2041?\nAnswer: 2485","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:24 PM and 5:57 PM?\nAnswer: 153","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1*-0.8.\nAnswer: 0.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 1, s: 2, q: 1}. Give prob of picking 1 q and 1 b.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 49929 divided by -122?\nAnswer: -49929\/122","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0 + 2\/7*n**4 + 6\/7*n**3 - 12\/7*n**2 - 16\/7*n.\nAnswer: 2*n*(n - 2)*(n + 1)*(n + 4)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 351.6906 - 133.6775. Let p = -218 + h. What is p rounded to 2 decimal places?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 26\/363 and 176\/(-84)*84\/72.\nAnswer: 1089","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -40*s**2 + 10397*s - 5183*s - 5217*s.\nAnswer: -40*s**2 - 3*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 444 and 1184?\nAnswer: 148","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) be the second derivative of 89*r**4\/12 - 5*r. Let o(q) = -3*q + 60. Let f(g) = 15. Let d(y) = 4*f(y) - o(y). Determine i(d(l)).\nAnswer: 801*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 217*f + 2772 = -14*f for f.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -3155105 (base 6) in base 14?\nAnswer: -40881","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -2 times 14.8442\nAnswer: -29.6884","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 50.44005l in millilitres?\nAnswer: 50440.05","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 561\/94 + -1636249\/274198. Let r = 2345\/834262 + o. Is -1 greater than or equal to r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 56 = 12*q - 5*q. What is the units digit of q?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -93\/76 and 9\/((-594)\/55) + (-637)\/(-684).\nAnswer: 684","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -170 - -243. Let l(j) = j**2 + 13*j + 5. Calculate the remainder when f is divided by l(-14).\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 18\/5 of a second?\nAnswer: 3600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express 28*c**2 - 1257*c - 11 - 6 + 15 - 24*c**2 as n + b*c + g*c**2 and give g.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -14819, -14850, -14881?\n\"Answer: -31*i - 14788","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00000379532157 to 6 decimal places.\nAnswer: 0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3874 = 5*p - 4*l, 17*p - 20*p - 3*l = -2346. Is p a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 3\/1004 + 28885\/77308. Calculate the common denominator of 125\/1056 and s.\nAnswer: 7392","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*t**4\/7 - 597*t**3\/7 - 2328*t**2\/7 + 2388*t\/7 + 9360\/7 = 0. What is t?\nAnswer: -195, -4, -2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor 30*v**2 - 14*v - 16.\nAnswer: 2*(v - 1)*(15*v + 8)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from nnnobbboqbbbmlbqnqnb. Give prob of picking 1 b and 1 n.\nAnswer: 4\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 8\/29 or 0?\nAnswer: 8\/29","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -4 + 34. Let h = -22 + s. Suppose 21*g - 49 = 14*g. What is the remainder when h is divided by g?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1154 * 1530.\nAnswer: -1765620","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z + 55 = -5*j - 50, 3*z + j - 166 = 0. What is the remainder when z is divided by 29?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 5185278.7558 and 1.\nAnswer: 5185279.7558","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 23253242431 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -12c (base 14) to base 10\nAnswer: -236","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -145 + 144.6. Which is the second biggest value? (a) 2\/3 (b) l (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = -6*z**2 + z + 1. Let k = 17 - 18. Let v be a(k). Let q be v\/(-4)*(753\/9 - -3). Calculate the greatest common divisor of q and 26.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) be the second derivative of 1871*q**7\/42 + 13*q**4\/4 - q**3\/6 + 55*q. What is the third derivative of z(u) wrt u?\nAnswer: 112260*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = -123735*l**3 - 1 + 123736*l**3 + l**2 - l + 0. Let p(u) = -u**2 - 4*u + 1. Let c be p(-2). Let y = c - 7. Calculate o(y).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3096440 is divided by 2074?\nAnswer: 2032","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 - 522.\nAnswer: -519","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = u**3 + 23*u**2 - 52*u - 15. What is the hundreds digit of y(-24)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 58.\nAnswer: 2, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a = 3*h - 1206, -2*h - 2*a = -3*h + 393. List the prime factors of h.\nAnswer: 3, 7, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -62*u = -3189369 - 74993. Is u composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 221, 218, 213, 206, 197?\nAnswer: 186","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 170 a factor of 32487850?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 55667160 is divided by 11433.\nAnswer: 11316","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 77, 78, 79, 80, 81, 82?\n\"Answer: x + 76","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -240 - -238. Let o be -4 + (-1)\/(-10)*59 + d. Let g = 3\/77 + 139\/385. What is the smallest value in g, o, -0.3, 4?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from lcgflfh. Give prob of sequence fl.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*s + 4*s = 16. Suppose -308 = -s*u - 2*x, u + 4*x = 5*u - 308. Is u a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/6 of a day in minutes?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 2592900 + 0.00692?\nAnswer: 2592900.00692","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) be the first derivative of -234*t**5\/5 + 8*t**2 - 558. What is the second derivative of v(s) wrt s?\nAnswer: -2808*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -426 divided by 6?\nAnswer: -71","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -19821 + 34347. List the prime factors of y.\nAnswer: 2, 3, 269","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 60 minutes before 1:07 AM?\nAnswer: 12:07 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -885 - 17711?\nAnswer: -18706","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 16*t**4 - 12*t**4 + 5890 - 25*t - 5889 + 9*t**2 + 3*t**2 to the form w*t**4 + d + r*t**3 + l*t + x*t**2 and give d.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k + 5*a + 76594 + 16071 = 0, k = -4*a - 92663. Is (-2)\/(-7) + k\/(-63) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 2\/4 - 87\/(-4) and (-2 - (-142)\/44)\/(72\/(-96)).\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = -36*p + 1177. Determine i(33).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: (-68)\/187*1\/(-2)\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -251\/8 - -761\/24. Let r = 366 - 363. Find m, given that 1\/3*m + 1 - x*m**r - m**2 = 0.\nAnswer: -3, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -18 - -14. Let b(m) = m**3 + 5*m**2 + 4*m + 5. Let s be b(f). Suppose -2*a + 3*u + 0*u = -1, -4*a = -s*u + 3. Which is greater: a or -6?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 79\/222 and 95\/8336712?\nAnswer: 308458344","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from giggmiaiwgym. What is prob of sequence ii?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 20216.\nAnswer: 2, 7, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 s when two letters picked without replacement from sdcs?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*h + 230 = 68. What is the least common multiple of 1106 and h?\nAnswer: 9954","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 186.65 rounded to the nearest integer?\nAnswer: 187","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 534.652631 rounded to two dps?\nAnswer: 534.65","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 9513 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: What is the remainder when 574309 is divided by 22?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 553 minutes before 2:50 AM?\nAnswer: 5:37 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -31, 105, 667, 1895, 4029, 7309, 11975, 18267?\n\"Answer: 40*o**3 - 27*o**2 - 63*o + 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 651.\nAnswer: 3, 7, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = 4*z**2 + 1173*z - 149467. What is p(96)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -3 + 1. Let j be x\/(-9) + (-986)\/(-18). Suppose -3*h + 4*p - 5 = -96, j = 3*h + 5*p. Is h a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 26275838159 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 4584?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 1 + 17*q)*(q - 2*q + 6*q)*(13 - 19 - 16)*(0*q**2 - 4*q**2 + 2*q**2).\nAnswer: 3740*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 3425119?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ktkkcotctkoocckt. What is prob of sequence tc?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = -2*t**2 + 3*t + 4. Let z be d(3). Put 3, z, -12 in decreasing order.\nAnswer: 3, z, -12","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 o and 2 a when three letters picked without replacement from tattootaa.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) be the first derivative of 5*y**2\/2 - 10*y - 7. Let l be p(6). Calculate the highest common divisor of l and 4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = -2*a - 8. Let q be l(-5). Suppose q*b + 0*s - 3*s - 118 = 0, -s = 2*b - 126. What is the remainder when b is divided by 21?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1060?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*c + 3*c + 2*c)*(0*c - c - 3*c + 2*c**2).\nAnswer: 4*c**3 - 8*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m = 3*m + 60. Let l be ((-2)\/(-4))\/((-6)\/m). Which is the nearest to -1? (a) l (b) 0.5 (c) -2\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -15 - 17*i**2 + 5*i**2 + 17 as t*i**2 + u*i + r and give t.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -40 = 4*z - 4*t, -2*z + 0*t - 20 = -t. Let b = -347\/438 - 3\/73. Find the common denominator of b and 880\/225 - 2\/z.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 32 + -46. Let c = 14.3 + n. Let p = 5 - 8. What is the second smallest value in p, -4, c?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1 divided by -119\nAnswer: -1\/119","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 420 minutes after 1:45 AM?\nAnswer: 8:45 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor -30*i**3 + 8*i**2 + 3*i + 32*i**3 + i + 4*i.\nAnswer: 2*i*(i + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 2.425447288 to 4 dps.\nAnswer: 2.4254","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1221211 (base 3) to base 6.\nAnswer: -10334","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k + 4 - 2 = -2*p, k - 4*p = -8. Suppose 6 = 2*b + k, 2*l - 3*b = 443. Is l composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {i: 4, o: 10}. Give prob of sequence oiii.\nAnswer: 10\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = 589*t**2 - 62*t. Let q(c) = -28*c**2 + 3*c. Let x(d) = -62*q(d) - 3*s(d). Let g(k) = -k. What is x(g(m))?\nAnswer: -31*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2718)\/(-225) - 84\/7?\nAnswer: 2\/25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = 2*s - m - 6, 5*s + m - 20 = 0. Suppose b = -2*v - 3*b + 64, -s*v = -2*b - 88. What are the prime factors of v?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -5 + -181a40a?\nAnswer: -181a414","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -35 = -5*y + 30. Suppose 3*s = y*s + 220. Let o = s - -22. Solve -4*n + 4*a = 8, 5*n - a + o = -14 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.06 + -0.24. Let k = 0.317 + -0.217. Which is the third biggest value? (a) p (b) k (c) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t - 452 = 2*t + 4*i, 0 = -2*t - 3*i + 273. Calculate the lowest common multiple of 8 and t.\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -15*c*q**2 - 1354650*c - 808*q**2 + 5*q wrt q?\nAnswer: -30*c - 1616","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -264\/38593 or -0.02?\nAnswer: -0.02","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -14*r**3 - 217*r + 217*r.\nAnswer: -14*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 + 2 + 6 + -3?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -1 + 20 - ((144 - 154) + (2 - -6))\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0.1 (b) -17 (c) -1\/4 (d) 1\/5 (e) -91\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(209) - (sqrt(209) + sqrt(209) + sqrt(209)*2 + sqrt(209)))*1)\/sqrt(11) + -2 + -1.\nAnswer: -4*sqrt(19) - 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 27\/4 of a meter in millimeters?\nAnswer: 6750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.4 times -46251?\nAnswer: -18500.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 4\/15 of a century?\nAnswer: 320","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out 211.9 - -4.\nAnswer: 215.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/15, 3, 3\/2, -774, -13\/14 in descending order.\nAnswer: 3, 3\/2, 2\/15, -13\/14, -774","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 35418 (b) 86 (c) 14\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-6*i + 2*i + 2*i)*(-45 - 2*i**3 + 52 + 2*i - i**3) to the form z*i**4 + h*i + p + n*i**2 + o*i**3 and give n.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 65682 to the nearest integer?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*l + 72 = -0*l. Let r(z) = z**2 - 12*z - 6. Let f be r(l). Let v(j) = -j**2 - 9*j - 6. Determine v(f).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from nytjjjtttjjjy. What is prob of sequence nt?\nAnswer: 1\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -1960.8195 rounded to the nearest integer?\nAnswer: -1961","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + -4 + sqrt(704) + -5 + 4)**2.\nAnswer: -80*sqrt(11) + 729","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -183*q + 366*q - 180*q + 4*o + 67, -176*o - 33*o - 170*o - 6060 = -4*q for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -63\/28510 and 97\/10728?\nAnswer: 152927640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r = -2 + 4. Let x(p) = -8 + p + p - r - 4*p. What are the prime factors of x(-10)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = -c + 8*c**3 + 41 - 9*c**3 - 44 + 19*c**2 + 75 + 38. Calculate the remainder when t(19) is divided by 32.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) be the third derivative of c**7\/1260 + c**6\/240 + c**5\/120 - c**4 - 3*c**2. Let u(b) be the second derivative of v(b). Give u(-2).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*n - 3*n - n)*(3*n - 2*n - 3*n) + 17*n**2 - 10*n**2 - 2 - 8*n**2.\nAnswer: n**2 - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/40 of a kilogram in milligrams?\nAnswer: 75000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 17795988 is divided by 6.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in twenty-six fifths of a milligram?\nAnswer: 5200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1958, -3922, -5886, -7850, -9814?\nAnswer: -11778","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 3176695 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = -20*i + 186. Give t(9).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 11 in 0.3, 0.25, 1\/7?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0.3 (b) 3.45 (c) -7 (d) 0.6\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1458 and 759303?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 7\/130785 + -7283893\/65915640. Calculate the common denominator of g and -16\/5.\nAnswer: 7560","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 2415 - 2419. Sort -5, -4\/3, m, -94 in descending order.\nAnswer: -4\/3, m, -5, -94","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 266341.\nAnswer: 113, 2357","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) be the first derivative of 10529*q**6\/6 - 379*q**2\/2 + 4*q - 5687. What is the second derivative of r(o) wrt o?\nAnswer: 210580*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 8 + -12. Let p = -5.9 + 9.9. Which is the closest to m? (a) -2\/5 (b) 0.3 (c) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 970\/(-1843) + 4997\/11552.\nAnswer: -3\/32","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 114237 = 208*b + 139405 for b.\nAnswer: -121","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 213 to the power of 1\/3, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = 2548*i + 288246. Give l(-113).\nAnswer: 322","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -7 divided by -8546\nAnswer: 7\/8546","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*k**2 - 27 + 29 - 49 - 2*k)*(2*k**2 - 2*k**2 - 2*k**2).\nAnswer: 4*k**4 + 4*k**3 + 94*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5070 = -20*u - 4450 for u.\nAnswer: 31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 1\/3 (b) 1 (c) -1 (d) 2 (e) -1652 (f) 1\/6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -9337 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + -4*(sqrt(76) + 1 + sqrt(76))*5.\nAnswer: -80*sqrt(19) - 25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4)\/13*21\/(-42)?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 63994 by 45.\nAnswer: 63994\/45","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 149*t - 161*t + 5124 = 0. Is 61 a factor of t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -621, 1385, -0.3?\nAnswer: -621","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 24135331567 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -690 - 10*o**2 + 690.\nAnswer: -10*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 88*j + 4*u = 91*j + 20, -5*j + 10 = 2*u for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*p + 6*p. Let l = 166.4825 - 168.5. Let r = l + 0.0175. What is the closest to p in -3\/8, 1, r?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -47? (a) 0.3 (b) -4\/3 (c) 2\/9 (d) -2\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = -l**2 + 8*l. Let n(x) = -16629 + 3*x**2 - 5*x**2 + 16629 + 16*x. Determine -7*i(w) + 4*n(w).\nAnswer: -w**2 + 8*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = 2*p**5 - p**4 + 11*p**3 - 4*p**2 + p - 2. Let s(v) = v**5 + 5*v**3 - 2*v**2 - 1. Let c(b) = 3*l(b) - 7*s(b). Suppose c(z) = 0. What is z?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/1477? (a) 75 (b) 68 (c) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2.27? (a) 1.4 (b) -6 (c) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -1 + -6 - (5287296\/281)\/(-196)\nAnswer: 89","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = 2*i**2 + 2*i + 8. Let z(b) = b**3 - 12*b**2 + 20*b - 11. Let t be z(10). What is the hundreds digit of x(t)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 3 + (5 - 1) + -8. What is the nearest to b in -1\/4, -0.2, 13?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 168\/13 in 4\/3, 1\/7, 5, 1\/4?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:04 PM and 3:49 AM?\nAnswer: 405","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.25 + -2.75. Let p = -422395\/16404 - 2\/4101. Let t = -26 - p. Which is smaller: t or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -3.35 - 0.9. Let i = m - -3.95. Sort -0.5, -4\/3, 4, i in descending order.\nAnswer: 4, i, -0.5, -4\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-6*q + 7*q - 7*q)*(-18*q**3 - 15*q + 5*q + 2*q) to the form w*q**3 + x*q**2 + t + p*q**4 + k*q and give p.\nAnswer: 108","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 107.\nAnswer: 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (-2*106\/(-8))\/(-28*(-10)\/136080) is divided by 40.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (718*t**3 - 554*t**3 - 526*t**3)*(-4*t - t + 3*t)*(5 - 1 - 6).\nAnswer: -1448*t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -25\/16 and -69\/16.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = 569*z. Let u(d) = 16142*d. Calculate u(n(m)).\nAnswer: 9184798*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:52 AM and 12:04 PM?\nAnswer: 12","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 4\/(-18) + ((-344386)\/(-126) - 5 - 12) a multiple of 194?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 11041?\nAnswer: 61, 181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 t, 2 o, and 1 v when four letters picked without replacement from {t: 4, b: 1, o: 4, v: 1}?\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*k - 45 = 4*k. Let n(z) = k*z**2 + z**2 + z**2 + 2*z**2. Let h(b) = 4*b. Give h(n(j)).\nAnswer: 52*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*z - 10 = -z. Let n(v) = -16*v**2 - 2*v - 2*v - 13 + 7*v**2 - v + v**3. What is the tens digit of n(z)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*d + 5 = o, -3*o + 2*d - 5*d = -15 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z = 3*q + 824, -3*z + 804 = z + 2*q. Calculate the remainder when z is divided by 34.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.4 times 6509\nAnswer: 2603.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {h: 8, f: 7, j: 5}. Give prob of picking 2 j and 2 f.\nAnswer: 14\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-245)\/(-147)*1*3*-1.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -342 at most as big as 21?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 3*m**4 - m**2 + 3*m**2 - 1215508*m + 216*m**3 - 584*m**3 + 3266 + 1215510*m wrt m.\nAnswer: 36*m**2 - 2208*m + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -748, -2646, -5796, -10186, -15804, -22638, -30676?\nAnswer: -39906","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-92)\/(-22) - 12\/66. Suppose 0 = -b*f + 80 - 44. Calculate the highest common factor of f and 99.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = 2*v. Let r(c) = -1567*c. Calculate r(d(x)).\nAnswer: -3134*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve w + 59 - 61 = u, 4*w + 3*u = -6 for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = j**2 - 3*j - 2. Suppose 5*q = 8*q. Let s = -3 - q. What are the prime factors of x(s)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 88 + -84. Suppose 2*r + 2 + 0 = 0. Sort r, l, -0.3 in increasing order.\nAnswer: r, -0.3, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = -k**2 - 11*k + 10561. Calculate the remainder when 2718 is divided by q(97).\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.6654863585 rounded to three dps?\nAnswer: -0.665","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 18, 41, 100, 213, 398, 673?\n\"Answer: 3*v**3 + 2*v + 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -163735, -327531, -491331, -655135, -818943, -982755?\nAnswer: -1146571","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 1679089\/271 smaller than 6195?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 41784?\nAnswer: 2, 3, 1741","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = -7*b**3 - b**2 - 5*b - 5. What are the prime factors of i(-2)?\nAnswer: 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 8*c - 4*c - 8. Suppose 0 = -2*z - 10 - c. Let m be 7\/14 + z\/(-4). Solve -4*r = m - 14 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -7.99 + 7.35. What is the third biggest value in -0.3, -9, n?\nAnswer: -9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -18921 + 18920.999909. What is f rounded to 2 decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 79047?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 42\/(-10)*184\/644. What is the closest to 0 in l, -3, -3\/4, 13?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -211 - -184 - (1 - 1) - (8 - (1 - 2)).\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find h such that 28*h**3 - 896*h - 26 - 1428*h**2 + 4556*h**2 - 18 + 44 = 0.\nAnswer: -112, 0, 2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify q**(-7)\/(q*q\/(q\/((q\/q**(7\/9))\/q))*q*q) assuming q is positive.\nAnswer: q**(-83\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express (i**3 + 3*i**3 - 5*i**3)*(-2*i + 4*i - 4*i)*(-3 + 1 - 1)*(3 + 2 - 3) as x*i**4 + w*i**2 + v*i + f + l*i**3 and give x.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 610 - -5?\nAnswer: 615","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 7989446 and 8?\nAnswer: 31957784","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:08 AM and 10:20 AM?\nAnswer: 252","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(-31)*c*c)**(-30\/11)\/(c*c\/(c**(-1\/6)\/c)*c**4) assuming c is positive.\nAnswer: c**(4747\/66)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 4 + (-5)\/(6560\/476). Let g = r + 2008669\/3608. Let f = 560 - g. Which is smaller: 0 or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:12 PM and 3:07 PM?\nAnswer: 175","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -9.8 or -51298?\nAnswer: -9.8","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 1\/((-3 - -9 - -7) + 6)\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -4533 - -4532.6. Which is the closest to 1? (a) 0.3 (b) -2\/357 (c) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 36.3 + -36.3498. What is g rounded to 3 decimal places?\nAnswer: -0.05","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 1020759, 2041531, 3062307, 4083087, 5103871, 6124659?\n\"Answer: 2*o**2 + 1020766*o - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -61*f + 3*h = -34*f - 30*f + 6, -2*h + 14 = -3*f for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -24, 7, 2 in decreasing order.\nAnswer: 7, 2, -3, -24","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 145792.4643us in weeks?\nAnswer: 0.00000024105896875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 - -7 - 2 - -2 - 6?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 2406 divide 57178182?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 571?\nAnswer: 571","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 7300349 equal to 7300338?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 316 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -45\/8134 and -73\/3486.\nAnswer: 24402","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 divided by 48012284.\nAnswer: 5\/48012284","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 20296.\nAnswer: 2, 43, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0*1\/(-6)*30\/25.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*s = 4*q - 8, -3*q - 2246*s + 2 = 2246*s - 4490*s for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = -j**2 - 3*j - 3. Let n be 768\/56 + (-2)\/(-7). Suppose 7 = -7*v - n. Let l be r(v). Which is smaller: -7 or l?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8*i**2 + 16 + 9 + 2*i**2 - 1493*i + 3*i**2 - 21.\nAnswer: 13*i**2 - 1493*i + 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 81281 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 24 + -14. Let s be 3*(4\/(-4) - (-57)\/9). Suppose 0 = 5*t - 4*t - 5*h + s, -t = -2*h + 4. Calculate the greatest common factor of t and w.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = 4*d**2. Let z(k) = 16703*k**2. Give s(z(f)).\nAnswer: 1115960836*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let 4*u**2 - 848*u - 90480 = 0. Calculate u.\nAnswer: -78, 290","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = -50. Let w(c) = -c + 1. Let p = 39970 + -39972. Determine p*w(j) - i(j).\nAnswer: 2*j + 48","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = -5*q + 6. Let z(t) = -t + 1. Let j(v) = m(v) - 6*z(v). Let o(i) be the first derivative of 0*i**2 - 3 + 0*i - 5\/3*i**3. Give j(o(h)).\nAnswer: -5*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-78)\/104*4*(-2)\/(-12)?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 68 is divided by 36?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -972 - 968 + 9*j**2 + 1940.\nAnswer: 9*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.5, -2\/3, -7\/15 in ascending order.\nAnswer: -2\/3, -7\/15, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify q*q**(3\/2)*q\/(q\/(q\/q**(-23))) assuming q is positive.\nAnswer: q**(53\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1508, -1511, -1516, -1523, -1532, -1543, -1556?\nAnswer: -1571","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = f - 11. Let g be y(8). Let h(j) = -5*j + 1 + 11 - 1 - 16 + 6. Calculate h(g).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (1\/(-3))\/((-9)\/243). Solve 5*z = 1 + q for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from frfrff. What is prob of sequence fffr?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 90828.\nAnswer: 2, 3, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 18.92 + -19. What is the nearest to 0 in -0.2, h, 2?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 2, x: 4, m: 2, l: 12}. What is prob of picking 2 x?\nAnswer: 3\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 14, 41, 86, 149, 230, 329?\n\"Answer: 9*q**2 + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 z when three letters picked without replacement from zlllzlzlzl?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 5 + l**3 + 0*l**3)*(-149997 - 3*l + 149973 + 9*l).\nAnswer: 6*l**4 - 24*l**3 - 12*l + 48","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-5)\/(525\/20)*(0 - (-1)\/2). Which is greater: -33.4 or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = -11*b**2 - b + 14. Let p(d) = -7*d**2 - d + 9. Let l(x) = -5*f(x) + 8*p(x). Let s be l(-4). List the prime factors of ((-36)\/5)\/(s\/5).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -107\/408 and 12\/85.\nAnswer: 2040","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {o: 2, p: 18}. What is prob of picking 2 o and 2 p?\nAnswer: 3\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1548 + -1543. Solve 51*v - 46*v = u for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.139385548 rounded to 5 decimal places?\nAnswer: 0.13939","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 183, 340, 497, 654, 811, 968?\nAnswer: 1125","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 14791, 29589, 44389, 59191?\nAnswer: 73995","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 40*-1609.\nAnswer: -64360","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 28258001 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*k + 2*k - 2*k**2 + 5*k**2 - 2*k**2 - 2*k**2 + (0 + 1 + 1)*((2*k + 0*k + 0*k)*(0 + 9 - 1) + 5*k + 3 - 3 - 4*k - 2*k - 2*k)*(-3 - 3*k + 3).\nAnswer: -79*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((p*(p*p\/(p\/(p**(-1\/8)*p)))\/p)\/p)\/(p\/(p*p**9)))\/((p\/p**(-13))\/p*p\/((p**(2\/9)\/p*p)\/p)*p) assuming p is positive.\nAnswer: p**(-425\/72)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many kilometers are there in 14.89175cm?\nAnswer: 0.0001489175","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -456, -8253, -21252, -39459, -62880, -91521?\n\"Answer: -w**3 - 2595*w**2 - 5*w + 2145","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 79, 307, 691, 1225, 1903?\n\"Answer: -o**3 + 84*o**2 - 17*o + 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(4\/5)\/(u\/u**(-3\/5)))**47*((u**(-6)*u)\/(u*u**(-5)))\/(u**4\/(u**6\/u)) assuming u is positive.\nAnswer: u**(-188\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*3*-5*(sqrt(272))**2*-3.\nAnswer: 73440","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 338, 759, 1460, 2447, 3726, 5303, 7184?\n\"Answer: u**3 + 134*u**2 + 12*u + 191","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-437115)\/(-8326))\/(0 + (-4)\/8).\nAnswer: -105","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 5.1 - 5. Let n = -17 + -7. Let p = n + 24.5. What is the nearest to -2\/5 in -2\/7, b, p?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -3879 or -3881?\nAnswer: -3879","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = k**3. Let l be i(-1). Let d(n) = n**2 - 7*n + 2. Let g be d(7). Suppose -7*q + 2*q - 2*f = -1, -g*q = 5*f - 13. Is l bigger than q?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-18)\/(-4) + 7\/(-14). What is the second biggest value in -0.3, -0.1, u?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 45055, 89900, 134541, 178978?\nAnswer: 223211","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = -651*t**3 + 18*t**2 + 276*t - 8. Let v(h) = -h**3 - 5*h**2 + 3*h + 2. Let j(n) = -s(n) - 4*v(n). Find the third derivative of j(p) wrt p.\nAnswer: 3930","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2*l*s**2 + l*s + 8198525*l - 20*s**2 - 96057*s wrt s.\nAnswer: -4*l*s + l - 40*s - 96057","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 2021831693 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = 17*y + 5. Let j be c(5). Suppose -36 = -46*h + 45*h. What is the highest common factor of j and h?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1 or -7\/629?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -1025 (base 8) in base 6?\nAnswer: -2245","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 9067024?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Determine h, given that -2*h**3 + 3*h**3 + h - 2*h**3 = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = -u + 15. Let x be g(15). Solve 0 = -x*t + 5*t + 15 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve t - 3*o = -11, 5*t - 9*o + 19 = -6*o for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -1713, -2256, -2813, -3390, -3993, -4628, -5301, -6018?\n\"Answer: -f**3 - f**2 - 533*f - 1178","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 w when two letters picked without replacement from {u: 1, g: 2, b: 1, w: 3, f: 4}?\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -104147*q**3 - 88881*q**2 + q wrt q?\nAnswer: -624882","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 6629 smaller than 6629?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -74? (a) 5 (b) 6 (c) 3 (d) 57\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = 18*q**2 + 1. Suppose 24 = -3*g + 5*t, 0 = -5*g - t - 1309 + 1325. Calculate h(g).\nAnswer: 73","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-396)\/(-462) - 41\/7.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-1173)\/(-9))\/(-17) + 6.\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -93, -201, -323, -465, -633?\nAnswer: -833","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(-1 + 1*sqrt(242)*6 + (sqrt(242) + (sqrt(242) - (0 + sqrt(242))))*-1 + 1)**2*-6.\nAnswer: -145200","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 2541 to the power of 1\/2, to the nearest integer?\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*w = -3*u + 5*w - 17, -3*u + 32 = 5*w for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 28465 + -28468. Sort 1, -0.06, -2\/139, n in ascending order.\nAnswer: n, -0.06, -2\/139, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 259968839303 and -96.\nAnswer: 259968839207","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 19062 - 19069. What is the nearest to 2 in 1, u, -1\/3?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = 2*t**2 + 11*t - 83. Is 16 a factor of r(14)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1607\/15030 + -16\/167. Let d(p) be the second derivative of 0*p**2 - 1\/30*p**5 - j*p**6 + 0 - 1\/36*p**4 + 0*p**3 - p. Suppose d(l) = 0. Calculate l.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -373, -626, -929, -1306, -1781, -2378, -3121?\nAnswer: -4034","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 143988 to the nearest integer?\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 3.3931 - 3.655. Let c = -0.0619 - x. What is the smallest value in -35, -1, 4, c?\nAnswer: -35","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g = -5*l - 56, -2*g - l + 287 = 2*g. Suppose -72*i = -g*i. Solve 4*f + 0*v + 4*v - 8 = i, 5*f + 3*v = 4 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l - 1984 = 3*p + 536, p = 5*l - 4204. Suppose 3*n + 3*r + 277 = -578, 3*n - 4*r = -l. Round n to the nearest ten.\nAnswer: -280","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3340.2130254 - 0.8?\nAnswer: 3339.4130254","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*l + 9 = 3*l. Suppose -l*s + 49 = 2*s + 3*p, 4*s + 5*p = 34. Is s a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-64)\/80 - 1\/5 - -4?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -17 - -16.6. Which is the second biggest value? (a) 1\/7 (b) -3 (c) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c**2 - 1645*c - 26064 = 0. What is c?\nAnswer: -1629, -16","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -654745*x**3 - 5*x**2 + 2*x - 31855 wrt x?\nAnswer: -3928470","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = -17*h**3 + 3*h**2 - 3. Give b(1).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 225129577?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 3, -15, -55 in increasing order.\nAnswer: -55, -15, -2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1479\/(-1479)*1\/(-26).\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = 4764*y**2 - 360*y - 1419. List the prime factors of d(-4).\nAnswer: 3, 5, 13, 17, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -48 + 78. Let k = 29.9 - i. What is the second smallest value in 2\/39, k, -1?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**12*b**(-2\/9))\/(b\/b**1*b)**(-2\/93) assuming b is positive.\nAnswer: b**(3292\/279)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4*-8.\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -85 or 1164.524?\nAnswer: 1164.524","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 42330.\nAnswer: 2, 3, 5, 17, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*m - 4*m + 2*m + (2 - 2 + 2)*(-5*m - 35*m - 71*m + (-m - m + m)*(0 + 3 - 4) + 42*m - 14*m - 19*m) as w*m + z and give w.\nAnswer: -204","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find b, given that -6*b**5\/5 - 532*b**4\/5 - 1786*b**3\/5 + 7132*b**2\/5 - 728*b\/5 - 816 = 0.\nAnswer: -85, -6, -2\/3, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -13*k**5 - 1 + 2*k**3 + k**3 + 100*k**2 - 31*k**2 + 47*k**5 + 40*k**5 wrt k.\nAnswer: 4440*k**2 + 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) be the first derivative of -4797*m**4\/2 - 124*m**3\/3 + m**2 + 4*m - 1373. What is the third derivative of z(g) wrt g?\nAnswer: -57564","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -k**3\/8 + 39*k**2\/8 + k\/2 - 39\/2.\nAnswer: -(k - 39)*(k - 2)*(k + 2)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*g + 0*g - 13*g - 2*g - g + 2*g + (-3*g + 0*g + 5*g)*(-1 + 4 - 2).\nAnswer: -8*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 26124751 = -76*y - 46448409. What is y rounded to the nearest one thousand?\nAnswer: -955000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = -m**3 - 13*m**2 + 16*m + 16. Determine z(-14).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -1600704*p + 9039*p**2 - 1170648*p + 521*p**2 - 5*p**3 - 1798328*p.\nAnswer: -5*p*(p - 956)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = w - 2*b + 2, -w + 4*b - 4 = 0. Let s be (-1)\/2 - (-4)\/w. Solve 3*y + 5*a + 6 = -s, -4*a = 2*y + 6 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = -d**3 - d**2 + d - 1. Let t(x) = 6*x**3 + 6*x**2 - 2*x + 6. What is 4*f(h) + t(h)?\nAnswer: 2*h**3 + 2*h**2 + 2*h + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m + 115 = -2*m - 2*j, 4*m - 4*j = -160. Let c = -19 - m. Is c a multiple of 20?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 188759 + 8?\nAnswer: 188765","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 791.7603 months in decades?\nAnswer: 6.5980025","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 206*b + 175*b + 193*b - 784*b + 193*b.\nAnswer: -17*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) be the second derivative of 7921*r**7\/42 + 3130*r**3\/3 - 7687*r. What is the second derivative of u(b) wrt b?\nAnswer: 158420*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -812995 equal to -813001?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 401 minutes after 11:45 AM?\nAnswer: 6:26 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o**5\/4 - 87*o**4\/4 - 879*o**3\/2 + 2903*o**2\/2 - 5985*o\/4 + 2025\/4 = 0. What is o?\nAnswer: -45, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 15082674\/596*(-2)\/(-6)*2 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xj when two letters picked without replacement from ivvvvjvxvvvvv.\nAnswer: 1\/156","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 2 + j)*(4*j - j - 2*j) + 5 - 2*j**2 + 2*j - 5.\nAnswer: -j**2 + 2*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is fifty-seven fifths of a gram in milligrams?\nAnswer: 11400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/3, -47, -2 in decreasing order.\nAnswer: -2\/3, -2, -47","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*f = 2*l - 11*f - 59273, 0 = 4*l + 5*f - 118525. List the prime factors of l.\nAnswer: 5, 5927","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 60 + -32. Suppose -26*m = -c*m + 102. What is the units digit of m?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 1*(2 - 3) - (-3 - -2). Let g(l) be the first derivative of i*l - 4 - 2\/5*l**5 + 1\/2*l**2 + 0*l**4 - 1\/6*l**6 + 2\/3*l**3. Factor g(w).\nAnswer: -w*(w - 1)*(w + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 139510, 139680, 139850, 140020, 140190, 140360?\n\"Answer: 170*r + 139340","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) be the first derivative of 5*d**2\/2 - 5*d - 1. Let g(i) = -9*i. Let b(n) = 196*n + 2. Let c(o) = 2*b(o) + 44*g(o). What is -3*c(y) - 2*h(y)?\nAnswer: 2*y - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 32, 22, 12?\n\"Answer: -10*m + 42","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: (-2094)\/744 - 852\/(-13206)\nAnswer: -11\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 204 <= 204?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 6688 and 190912.\nAnswer: 2100032","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-2 + -748)\/((-6)\/(-960)). What is m rounded to the nearest 100000?\nAnswer: -100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -13*w**2 - 20*w**2 + 57*w**2 - 7*w**2 - 19*w**2 - w**3 - 4*w**3.\nAnswer: -5*w**3 - 2*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 675 minutes before 11:21 AM?\nAnswer: 12:06 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = -3*z. Let u(t) be the first derivative of -5*t**2\/2 - 3. Let q(v) = 5*c(v) - 2*u(v). Let h(i) = i - 3*i - 11*i + 8*i. What is h(q(l))?\nAnswer: 25*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence lwt when three letters picked without replacement from ycywwtllq.\nAnswer: 1\/126","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(1944) + 4*-2*sqrt(1944))\/(sqrt(8) - (sqrt(8) - (sqrt(512) - (sqrt(512) - sqrt(512)*-1))) - sqrt(40)\/(sqrt(5)*2))*-4)**2 + 0.\nAnswer: 762048\/289","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = -8*b + 5. Let v(w) = -7*w + 4. Let t(r) = -5*k(r) + 6*v(r). Suppose 190 - 166 = -12*f. Let g be t(f). Solve q + g*y = 3 + 10, 5*q = 2*y - 3 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -75881096 + 75880466.99293. Let d = z - -629. Round d to three decimal places.\nAnswer: -0.007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from nnnlanaaklaznnkazl. Give prob of picking 1 l and 2 n.\nAnswer: 15\/272","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 3910, 4137, 4786, 6085, 8262, 11545, 16162, 22341?\nAnswer: 30310","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Determine y, given that -y**2\/2 + 3916976*y + 7833954 = 0.\nAnswer: -2, 7833954","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.3453989 rounded to three decimal places?\nAnswer: 0.345","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -55 + -49 + 94 + -22.\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 6.246304 milligrams?\nAnswer: 0.000006246304","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -15 + 15 + (13 - 12) - (-1 - -4)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = -i**2 + 1. Let a(y) = 38*y**2 - 57. Determine -a(p) - 57*g(p).\nAnswer: 19*p**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wqqw when four letters picked without replacement from {h: 6, w: 3, q: 4}?\nAnswer: 3\/715","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 775 - 662. Is f a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = d**3 - 4. Suppose 5*x + 15 - 70 = k, -x = -2*k - 11. Let u = -8 + x. Suppose 33 = -0*v + u*v. Let a(m) = 3*m**3 - 11. What is v*f(o) - 4*a(o)?\nAnswer: -o**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 35005, 35003, 34999, 34993, 34985?\nAnswer: 34975","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 12 + -8. Let x = 0.045 + -0.045. Let w = q + x. What is the second smallest value in -0.5, w, -4\/9?\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 431018 and 66334?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -1.46 (b) 30\/227 (c) -1 (d) 32 (e) 0.5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 20*b**2 + 5*b**2 + 16*b**2.\nAnswer: 41*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s + 2*x + 16 = 0, 3*s + 5*x - 8 = 3*x. Suppose -s + 0 = -4*m. Let j(o) = -2*o**2 - o + 1 + o**2 - o**2. What is j(m)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 divided by 48?\nAnswer: -1\/48","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -82 (base 16) in base 4?\nAnswer: -2002","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*(0 + sqrt(245)))**2.\nAnswer: 245","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 y and 1 s when two letters picked without replacement from slylay.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 27442090?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 720 is divided by 183?\nAnswer: 171","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 1, -7, 9, -188, 5 in descending order.\nAnswer: 9, 5, 3, 1, -7, -188","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -29*j + 24425 = 181. What is the greatest common divisor of j and 99?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 15842 to the power of 1\/8, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s - 1236 = -3*z, -z - 2060 = -6*z - s. Let w = z - 212. What is the tens digit of w?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -1074 + -113?\nAnswer: -1187","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 107875 and 750?\nAnswer: 125","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 466627 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: Let z(q) = -2*q + 2. Let j be (6\/(-3))\/(-2) + -2. Let y(h) = h + 40 + 46 + 42 + 38 - 167. What is j*y(o) + z(o)?\nAnswer: -3*o + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 2233 (base 4) to base 16\nAnswer: af","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) be the first derivative of 0*a + 0*a**3 + 0*a**4 + 17 + 17\/5*a**5 - 6*a**2. Find the second derivative of p(v) wrt v.\nAnswer: 204*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1459075 is divided by 460?\nAnswer: 415","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = -f - 2. Let q(w) = -6*w - 10. Let b(a) = 5*h(a) - q(a). Let g(t) = -7*t. What is b(g(r))?\nAnswer: -7*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 20079703 a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = -o**3 + 12*o**2 - 54*o - 12. Let t be b(6). Let u(y) = -2*y**3 + 9*y**2 - 3*y + 8. Let g be u(6). Is t > g?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from wwwwwwwiiwwiwiiiiii. What is prob of sequence wiw?\nAnswer: 45\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 12\/391 - -12025\/3128. Calculate the common denominator of -68\/9 and v.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -211000021011 - -1021?\nAnswer: -211000012220","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -21384.9 less than 0?\nAnswer: 21384.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 d and 1 u when three letters picked without replacement from dufdf.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-3)\/(-3) - 5*-2. Suppose 3*c = -f + 1, f = -f + 3*c + k. Suppose -260 = -f*z + 8. Is z a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 7 and 242242.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = -8*v. Let k(s) = 7*s. Suppose 0 = 3*u + 12, 0 = 4*y + 2*u + 3*u. Determine y*k(d) + 4*q(d).\nAnswer: 3*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 26459\/276842 - 14\/149. Which is smaller: i or 1?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: (99792\/(-55))\/(-48) - 1\/(-5)\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 439314769*o**4 + 1121940345.\nAnswer: 1757259076*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 + 71 = 4*q + 5*v, -4*q = -2*v - 38. Solve 39*m + q = 27*m for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d*d\/(d\/(d\/((d*d\/(d*d\/(d\/(d\/(d*d**(-12)))))*d)\/d)*d))*d)**(2\/17))**20 assuming d is positive.\nAnswer: d**(600\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5*-3493555.\nAnswer: -17467775","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is (35\/10 - 3)*2 + -4?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -113 - -38016.\nAnswer: 37903","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is u in 81\/5*u + 18\/5 + 4\/5*u**4 + 28\/5*u**2 - 31\/5*u**3 = 0?\nAnswer: -1, -1\/4, 3, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 r when two letters picked without replacement from {n: 3, k: 3, r: 13}.\nAnswer: 26\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = -i**3 - 9*i**2 - 9*i - 13. What is w(-8)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -4 (b) 3.42 (c) -1\/243 (d) -1\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = z**2 - 4*z - 201. What is y(16)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 32538 to the nearest integer?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 80179\/149772 + 2\/5349. Let g = 2\/7 - w. Which is greater: 1\/4 or g?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = 2*m - m - 4*y, -2*m + 4 = -4*y. Suppose -16 = -6*k + m*k. Solve k*u + 0*u = -8, 5*i - u = 12 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*b**3 + 6*b**2 + 9*b.\nAnswer: -3*b*(b - 3)*(b + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 244837 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -46 + 34. Let m be 3\/g*-4 - -1 - 13. Let k(v) = -7*v + 26. List the prime factors of k(m).\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = 14*s - 152. Let m be v(11). Let q be 7 + -10 + 7 + 5*m. Solve -5*r - q = 3*h, -5*h - 2*r - 1 + 3 = 0 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 2573529, 2573536, 2573553, 2573586, 2573641?\n\"Answer: a**3 - a**2 + 3*a + 2573526","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) be the second derivative of 11*u**7\/2520 + u**5\/120 - u**4\/6 + 2*u. Let j(a) be the third derivative of x(a). Is 12 a factor of j(-1)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 e when two letters picked without replacement from {i: 2, r: 2, q: 5, e: 8, g: 1}?\nAnswer: 28\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is nineteen quarters of a microgram in nanograms?\nAnswer: 4750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((l**(-8)*l)\/l)\/(l\/l**(2\/15)*l))**(-12) assuming l is positive.\nAnswer: l**(592\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -4 (b) -0.4 (c) -1107 (d) 14 (e) 2\/13\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7149 is divided by 35.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-14)\/170 - (-32)\/160. What is the nearest to -2\/5 in -3\/4, i, -23?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*k - 5*o = 15 - 2, -2*k + 3*o + 9 = 0 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 708953608 a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l + 8 = z - 49, -4*l = 5*z - 317. Let r = 12 + z. Is r a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(-1\/4))**(-45)*(j*j*j**(6\/7)*j*j*j)\/j**(-5)*(j\/j**0)**(-20)*j**1\/j**5 assuming j is positive.\nAnswer: j**(-53\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -96.917 - 0.083. Let a = -48 - d. Let s = a - 54.7. What is s rounded to the nearest integer?\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2753 is divided by 549.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22 = -0*y - 2*y. Suppose -s - 2 + 5 = 0, 3*s + y = 4*g. Suppose 8*t = 4*t + 3*c + 222, g*t - c = 283. What is the units digit of t?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 97 and 413823922.\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -101\/714550 and -97\/1152500.\nAnswer: 35727500","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -120526 - 2463?\nAnswer: -123211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 3.6 + -3.5832. Let c = 30 + -30.02. Let l = n + c. What is l rounded to three decimal places?\nAnswer: -0.003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 230\/(-8) + 3\/4. What is the lowest common multiple of 1\/(-3)*(4 + r) and (-1)\/(-4) - (-69)\/12?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) be the first derivative of 3*v**5\/20 + 5*v**2 - 5*v + 5. Let o(u) be the first derivative of m(u). Differentiate o(d) wrt d.\nAnswer: 9*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = -109*i**2. Let b(d) = -192*d - 20 + 192*d + 20 + d**2. What is g(b(s))?\nAnswer: -109*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-r**2 + 4*r**2 - 4*r**2)*(4*r**2 - 2*r**2 - 4*r**2) + 4*r**4 - r**4 - 4*r**4 + 5*r**4 - 9*r**4 - 3*r**4)*(-4*r - 3*r + 6*r).\nAnswer: 6*r**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -15 - -30. Let g be 18\/i - 4\/20. What is the third biggest value in -1, -1\/8, g?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a\/(a*a**(-10)))**(2\/85) assuming a is positive.\nAnswer: a**(4\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from rlhcphqcchr. Give prob of sequence lrcc.\nAnswer: 1\/660","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-30)\/5 - (3 - 8).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) be the second derivative of u**7\/504 - u**6\/360 - u**5\/120 - 7*u**4\/12 + 9*u. Let k(p) be the third derivative of j(p). Calculate k(-1).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 9391 divide 1314506083?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 82*f + 92578 = 85116 for f.\nAnswer: -91","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 1, 3625 in descending order.\nAnswer: 3625, 5, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -0.2, -0.3, -55, -3, -3\/2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 70 and 1022?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n + 5*n - 4 = 0. Let v = 4 - 3.96. Let i = 0.06 + v. Which is the third biggest value? (a) n (b) -2 (c) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -6 + (-3 + 10 - (6 + -1)).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (1475\/(-370) + 4)\/((-2)\/(-8)). Let q(i) = -i**2 + 8*i - 12. Let s be q(4). What is the third biggest value in k, s, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 90\/(-20) + (8\/44)\/(8\/22) + -50\nAnswer: -54","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -157*w + 1130320 = 42*w. List the prime factors of w.\nAnswer: 2, 5, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 350*g**3 - 108665*g**3 - 2 + 2.\nAnswer: -108315*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*s + 3*r + 170344 = 170330, -2*r = 8 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: (-4)\/(-6)*(-2)\/(-12)\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 14 + 243*j**2 - 14 - 269*j**2 + j.\nAnswer: -26*j**2 + j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k + 26 = 3*k. Suppose -k - 38 = -2*u. Is u a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 646674866?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 87, 188, 289, 390, 491?\nAnswer: 592","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = -p**3 - 14*p**2 + 192*p + 1248. Give k(-21).\nAnswer: 303","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round -1371013.167 to the nearest 1000000.\nAnswer: -1000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -42*j - 483 + 819 for j.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put 4.2, 3, 0.1, 5, 2 in increasing order.\nAnswer: 0.1, 2, 3, 4.2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 6 + -3. Let n = 10 - 5. Which is the third biggest value? (a) n (b) -2\/3 (c) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 179924.\nAnswer: 2, 31, 1451","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from mmmrr. What is prob of picking 1 m and 2 r?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 5 (b) 1\/10 (c) 13 (d) -9 (e) 6 (f) 52\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -96 (base 16) in base 8?\nAnswer: -226","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7*c + 5*c - 10*c)*(-c - 2*c + 2*c)*(-50 + 7*c**2 + 50)*(3 - 2*c - 3).\nAnswer: -168*c**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 275151 and 19434?\nAnswer: 123","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 4 (base 7) to base 16\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 5 - 4.96. Let z = d - -4.96. Which is greater: z or 2?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-36)\/8*(-4)\/6. Let i be (-5)\/(z\/((-855)\/12)). Let h = i + -126. What is the common denominator of -45\/14 and h?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1340 - -1336. Let w(p) = 25*p**3 - 4*p. Let o(g) = -99*g**3 + 15*g. What is q*o(x) - 15*w(x)?\nAnswer: 21*x**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 19797886 to the power of 1\/3, to the nearest integer?\nAnswer: 271","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 10323628 and 670?\nAnswer: 51618140","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 736364\/6384 - 4\/42. What is the smallest value in -2\/11, 2\/19, q?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 506 - 504. Let a be (x\/8)\/((-17)\/340). Let q be -8*((-54)\/28 - -2). Sort q, -1\/8, a, 2\/3 in decreasing order.\nAnswer: 2\/3, -1\/8, q, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of -118*(-2)\/4*(3 + -2)?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w = -5*v + 18, v = -4*w + 6*v - 12. Suppose -48 = -w*g - g. Let o = g + -5. Solve y + o = -c - 4*c, 4*c + 2*y + 10 = 0 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-5 - 1)*3*8\/(-48). Solve 3*w**5 - 4*w**3 - 2*w**3 + 0*w**5 + 2*w**4 + 920*w**2 - 9 - 902*w**2 - 11*w**4 + i*w = 0.\nAnswer: -1, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 6305?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 410 divided by -30\nAnswer: -41\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 24*-4*(-4)\/24. Let d = t - 14. Solve -d*q = q for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -47\/240 and 61\/44?\nAnswer: 2640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -596*j**4*v + 4*j**2*v + j*v + 38395*v wrt j?\nAnswer: -2384*j**3*v + 8*j*v + v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 12565439 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 2\/(-8) + (-30)\/(-24)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -409971*c**5 - 4*c**2 + 2071*c - 1.\nAnswer: -24598260*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 7 - ((-2 - -6) + -1). Let o be (1 - 10\/p)*-2. Let q be (-1)\/(o\/(-9)) - 6. Let s(m) = -6*m - 4. Determine s(q).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) be the third derivative of -i**4\/24 - i**3\/3 + 3*i**2. What is z(-7)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -2, 1200.04943, 2\/5?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Does 103 divide 18293315?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-2)\/3 - 104\/(-12). Let r(g) = g**3 - g**2 + g + 1. Let s(a) = -4*a**3 + 8*a**2 - 8*a - 8. Calculate i*r(q) + s(q).\nAnswer: 4*q**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*n + 26*n**3 - 8*n + 7*n - n.\nAnswer: 26*n**3 - 2*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 17533 and 267?\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1459\/1220 - 1\/244. Let p = 0.9 - 1.1. What is the third biggest value in 0, d, p?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.1275 greater than or equal to 48?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = -p**3 + 5*p**2 + 6*p - 3. Let x be c(6). Let u(j) = 4*j**2 + 3*j + 4. Is u(x) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/3? (a) 0 (b) -0.06 (c) 1.4 (d) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p - 32 = -4*j - p, p - 48 = -4*j. What is the remainder when 76 is divided by j?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0 (base 3) to base 9\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (126 - 4141632\/32860)\/(3\/2*4\/(-10))?\nAnswer: 2\/31","meta":{"dup_signals":{},"source":"arithmetic__mixed_test"},"subset":"dm_maths"} +{"text":"Question: Let j = -8 + 13. Solve w + 5 = 3*q, -j*q - 5 = 2*w + 3*w for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -5 + 6. Suppose -w - 6*h + 3*h + 6 = 0, h - o = 0. Find the second derivative of -9 + 5*q + 9 + 6*q**w - 3*q wrt q.\nAnswer: 36*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5615784 is divided by 210?\nAnswer: 174","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*g - 2*d - 5 - 9, 4*g - 5*d = 12. Let f be 1*(-45 - -1)\/g. Suppose 5*k - r - f = -3*r, -2*k + 5 = -3*r. Is k a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 20, 36, 85, 12, -1 in increasing order.\nAnswer: -1, 0, 12, 20, 36, 85","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -0.7, -0.02, 5\/3, 9, 1.3, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 57 and 24.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 349903 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 163?\nAnswer: 163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {z: 1, v: 1, k: 2, h: 2}. Give prob of sequence hhkv.\nAnswer: 1\/90","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*y - 7*y - 4*o - 16, y + o + 3 = 0. Put 4\/3, y, 3, -1\/9 in descending order.\nAnswer: 3, y, 4\/3, -1\/9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = -n**3 - 2*n**2 - n + 1. What is z(-2)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 743598?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 4, 2\/3, 24?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-m + m - 2*m)*(-3*m**4 + 2*m**4 + 2*m**4) - m + m + m**5 + m**4 - 2*m**5 - m**4 - 11 + 17 + 5*m**5 - 9.\nAnswer: 2*m**5 - 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 23003 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 260720 to the power of 1\/2, to the nearest integer?\nAnswer: 511","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -2.85 times -2?\nAnswer: 5.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -20 - -9. Let q(x) = x**2 + 4. Let u be q(-3). Let y = u + f. Solve -r = y*r + 6 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 203, -30, -12540 in decreasing order.\nAnswer: 203, -30, -12540","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 117 and 6986655.\nAnswer: 117","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 930 - 929.99999707. Round w to 6 decimal places.\nAnswer: 0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1068 - 11746\/11. Let m = -39 + 42.7. Sort 1, m, c in ascending order.\nAnswer: c, 1, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 39136412 and 28?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j*j**(-7)*j*(j**(-1\/5)*j)\/j*j)\/((j\/(j**(-4)*j*j))\/(j\/j**(1\/3)))*((j*j**(2\/7))**26)**(-1\/36) assuming j is positive.\nAnswer: j**(-1567\/210)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o = -23 - 72. Suppose o = 5*d + 4*m, 3*d = -d + 3*m + 9. Is (-37)\/(d + 7\/(-2)) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r + 35 = 5*d, 3*d + 10 - 31 = 4*r. Suppose -d*t = -4577 - 1. What is the hundreds digit of t?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 160 divide 5856204?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -54\/143 and -71\/2340.\nAnswer: 25740","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = 17*p**2 - 6*p + 6. Let a(x) = 6*x**2 - 2*x + 2. Determine 8*a(z) - 3*h(z).\nAnswer: -3*z**2 + 2*z - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 48176 + -26850. What is the tens digit of p?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 50187400?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1810?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 412196 * 483\nAnswer: 199090668","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b - 398 + 57 = 3*y, -2*y - 234 = 5*b. Let m = y + 104. What is the second smallest value in -13, 0.3, m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -110, -184, -328, -542, -826?\n\"Answer: -35*a**2 + 31*a - 106","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 14323689131 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*m - 31 = -5*l, 2*m + 32 = 3*l + 11 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*z**5 - 3*z + 3*z + (-2*z + 2*z + z**4)*(0*z - 2*z + 3*z) + (0*z**3 + z**3 + z**3)*(3*z - 4*z**2 - 3*z).\nAnswer: -5*z**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qthpc. Give prob of sequence hc.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 9790118 divided by 5018\nAnswer: 1951","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = r**2 + 7*r + 1. Let w(v) be the second derivative of -v**4\/2 - 17*v**3\/3 - 5*v**2\/2 - 76*v. Let f(o) = 11*l(o) + 2*w(o). Determine f(9).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let f be 2 + (0 - (1 + 6)). Let k = f + 5. Solve 2*u - 3 = -k*u - j, 0 = -2*u - 2*j + 6 for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -11\/9 and 59\/417.\nAnswer: 1251","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/7? (a) -4\/7 (b) 4\/5 (c) -0.16 (d) 0.1 (e) 0.13\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 15532 to the nearest integer?\nAnswer: 125","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -h**4*i**2 - 1590*h**3*i**2 + 49*i**2 + 28*i wrt h.\nAnswer: -4*h**3*i**2 - 4770*h**2*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -21*m**4 + 2*m**3 - m + 5315 wrt m?\nAnswer: -84*m**3 + 6*m**2 - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 177317562 a multiple of 3252?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 6 - -19. Suppose 0 = -5*n + p, 4*w + 9 = 6*w - n. Does 7 divide w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve t + 13*q - 953 + 1045 = 0, 2*q + 91 = -3*t for t.\nAnswer: -27","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -12113\/600 + 412\/25. Calculate the common denominator of l and -83\/40.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:11 AM and 2:53 AM?\nAnswer: 102","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o = -o + 15. Suppose -3*r - 135 = -2*w, -o*w + 3*r + 120 = -213. Suppose -3*p - 18 + w = 3*a, -2*a = -p + 4. Is p greater than or equal to 11?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 387 a factor of 2641275?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*4*((sqrt(1216) + 2*sqrt(1216)*-5 + sqrt(1216) - (sqrt(1216) + -1 + sqrt(1216))*5) + -3) + 2)**2*1.\nAnswer: -32256*sqrt(19) + 25215172","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 574 minutes before 9:05 PM?\nAnswer: 11:31 AM","meta":{"dup_signals":{},"source":"measurement__time_test"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = 64*s**2 + 48*s + 23. Let a(x) = x**2 + 6*x - 1. Let k(o) = 40*a(o) - 5*d(o). Find the first derivative of k(q) wrt q.\nAnswer: -560*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -9 (b) -0.03 (c) 2\/13\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = -1. Let c(l) = 3*l + 4. Let n(h) = -c(h) - 5*u(h). Let m(b) = -b. Determine -9*m(f) + 2*n(f).\nAnswer: 3*f + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from pggcceddm. What is prob of picking 1 d and 1 g?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 45 - 43. Suppose 2*d - 3*m - 4 = -i, 0 = -3*m. Suppose 2*n = -2*w + 19 - d, 0 = 5*w + n - 41. What is the remainder when 19 is divided by w?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 9030e - 1c8?\nAnswer: 90136","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 4.85 + -1.85. Let f = -320\/7 + 46. Suppose -2*y + 4 = 2*y. Which is the closest to y? (a) 0 (b) f (c) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -31531903*k = -31531398*k - 10100 for k.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = x**3 + 22*x**2 - 443*x - 8645. What is q(-21)?\nAnswer: 1099","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h = -0*h - 12. Let p be (-31)\/(-3) + (-4)\/12. Let w = 14 - p. Calculate the highest common divisor of w and h.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 8 + -5. Let o(m) = -5*m - 7. Let h(p) = p**2 - 8*p + 10. Let l be h(6). Let g be o(l). Solve -w - g = 3*q for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w + 9*w = 1090. Let u be 3\/7 + w\/14. What is the highest common factor of u and 24?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -8c6 + 40?\nAnswer: -886","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13*c = -8*c + 20 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*x**3 + 17186043*x**2 - 24613330906797*x - 24613348092843.\nAnswer: -3*(x - 2864341)**2*(x + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.51 - -27.39. Let b = -15 + 9. Let s = n + b. Round s to the nearest ten.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1639.158 rounded to the nearest 100?\nAnswer: 1600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4096 + 1026 + 1023 + 1023 + 1022 + 8954*n to the form u + z*n and give z.\nAnswer: 8954","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 5033282, 5033285, 5033288, 5033291?\nAnswer: 5033294","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = b**2 - 5*b + 5. Let a(o) = -o - 1. Let m(y) = 4*a(y) - i(y). Give m(0).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x + 12 = z + 3, -4*z - 19 = -3*x. Let l be 7 - (z + 6 + -3). Suppose -l*m - 4*c = -710, 2*c + 3*c = -3*m + 413. Is 33 a factor of m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let q(x) be the first derivative of 641*x**4\/4 - 134*x**3\/3 + 976. What is the third derivative of q(p) wrt p?\nAnswer: 3846","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((3\/45)\/(13\/(-78)))\/((-13)\/10)\nAnswer: 4\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x - 4*k + 2549 + 1177 = 0, -3*x - k + 2244 = 0. Calculate the remainder when x is divided by 77.\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -44 + 68. Let r(h) = h**3 - 47*h**2 + 42*h + 199. What is the least common multiple of r(46) and p?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -10706 - 136?\nAnswer: -11044","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*v**2 - 3*v + 3*v + (-v - 3*v + 3*v)*(-2*v + 1 - 1) + (2 - 2 - v)*(1 + 2*v - 1) + v**2 - 6*v**2 + 2*v**2)*(2*v + 15*v - 2*v).\nAnswer: -105*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 4078 and 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 2, q: 4, u: 2, m: 3, n: 2}. What is prob of picking 1 m and 1 n?\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z - 5 = 0, 2*a + a - 2*z = 13. Let f(o) = 508*o + 8. What is the tens digit of f(a)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -13*x**2 - 2*x**2 + 6*x**2 - 3*x + 3*x.\nAnswer: -9*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 496936550 a multiple of 897?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0 + -3. Let b be (-3)\/(-6)*1 - (-238)\/(-28). Sort 3, b, y.\nAnswer: b, y, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -6 + (6 - (2 + (1 - 0))) - 11?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l\/(l\/l**5))**6*((((l\/l**(5\/3))\/l)\/l)\/l)\/((l*l**(3\/5))\/l) assuming l is positive.\nAnswer: l**(386\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 141 + -76. Suppose -5*o - 15 = -x. Let f = o + -5. Is 2 a factor of f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = -582*q + 38396. What are the prime factors of f(0)?\nAnswer: 2, 29, 331","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -22, 7, -5, 999, -4, 16 in decreasing order.\nAnswer: 999, 16, 7, -4, -5, -22","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Determine k, given that -k**4\/2 - 50*k**3 - 1250*k**2 = 0.\nAnswer: -50, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -354830*-0.3.\nAnswer: 106449","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 67902218, 135804435, 203706652, 271608869, 339511086, 407413303?\n\"Answer: 67902217*h + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -55, -58, -61, -64?\nAnswer: -67","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: (-151)\/(-453)*1\/(2\/4)\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-1530)\/195 + 2\/(-13). Let k be (-4)\/f*0\/1. Let u be (k - 2)*1\/(-2). What is the highest common factor of u and 9?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -846.17 rounded to the nearest one hundred?\nAnswer: -800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.15 in 5\/214, 0.05, 1?\nAnswer: 5\/214","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -22*j**2 - 70725*j**3 - 82*j - 122*j + 70727*j**3.\nAnswer: 2*j*(j - 17)*(j + 6)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange h + 5*h**2 - h + (-2*h - 3*h + 3*h)*(-4*h + 0*h + h) + 0*h + h**2 + 0*h to the form o*h + n + j*h**2 and give j.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -469.2 + 259.6. Let r = 210 + t. Let s be (-3)\/(-6)*(-8)\/22. Which is the closest to 2\/5? (a) r (b) s (c) 2\/13\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 503 minutes after 5:26 AM?\nAnswer: 1:49 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -103*g + 218*g. Suppose -1 - 5 = -3*c. Solve r + 16 = 4*k - g*r, 0 = -c*k - 2*r + 18 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 176901 to the power of 1\/8, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express -1 + 10402*f**3 + 3*f**2 - 10405*f**3 + 17*f**4 + f - 4*f**2 in the form l*f**3 + g*f**2 + q + i*f**4 + y*f and give g.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b + 3*z = 96, -75*z = 5*b - 73*z - 151. What is the remainder when 6871 is divided by b?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from qquiqqmmqqbbmiiquqi. Give prob of picking 2 q and 1 i.\nAnswer: 112\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -6814171, -13628342, -20442515, -27256690, -34070867?\nAnswer: -40885046","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 852867 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 485 minutes after 10:39 AM?\nAnswer: 6:44 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: (-5750 + 5706)\/(4\/(-5))\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 480819?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 38\/3 + (-2)\/3. Let y be (27\/(-4))\/((-3)\/t). Let b(z) = -z**3 - 32*z**2 - 33*z - 53. Let k be b(-31). Calculate the highest common divisor of y and k.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 155 - 145. Suppose p + 2*v - 103 = 6*v, -p + 5*v = -100. Let d = -75 + p. What is the greatest common divisor of r and d?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -13517a (base 12) to base 15\nAnswer: -64bcd","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 57857 is divided by 76?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert 112 (base 9) to base 7.\nAnswer: 161","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:49 AM and 2:29 PM?\nAnswer: 160","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*f = -7*f + 2*f - 35 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -275707, -551232, -826587, -1101778, -1376811, -1651692, -1926427, -2201022?\nAnswer: -2475483","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.5 and -0.085.\nAnswer: 0.0425","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is three tenths of a litre in millilitres?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -49\/345 and -157\/16920.\nAnswer: 389160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 2, b: 8, m: 9, w: 1}. What is prob of picking 1 w and 1 d?\nAnswer: 1\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = x**2 - 6*x - 8. Give f(8).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i = 38 - 16. What is the least common multiple of 6 and i?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 - 4 + 1)*(-2*z**2 + 0*z + 0*z)*(34*z + 42*z - 22*z + (2 - 7 + 3)*(-5*z + 3*z + 0*z) - 2*z - 4*z + 5*z + 9*z - 33*z - 22*z).\nAnswer: -44*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 464270 to the power of 1\/7, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ooommmfmmzmzx. What is prob of sequence mmoo?\nAnswer: 3\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 462 is divided by 72?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-n - 25*n + 79*n + 76*n + 4*n)*(-2*n**2 + 1 - 1) to d*n + k*n**3 + x + u*n**2 and give k.\nAnswer: -266","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1b (base 13) to base 7.\nAnswer: -33","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = -37*j**2 - 2*j - 1. Let b be d(-1). Let t be 1372\/42*(-1)\/(3\/b). Calculate the greatest common divisor of 8 and t.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -3 + 2 + 4*-5. Let m be (-6)\/s + (-9)\/56. Is 1 not equal to m?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -106 or -107?\nAnswer: -107","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2\/4)\/(21\/(231\/22)).\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -25, -27, -29, -31?\n\"Answer: -2*k - 23","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 k and 1 l when two letters picked without replacement from jdddjddlwjjjkdjjjjj?\nAnswer: 1\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 l when three letters picked without replacement from nlnlllllnlnnblllll.\nAnswer: 55\/204","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from umibbwis. What is prob of picking 2 i, 1 b, and 1 u?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -2 - 4\/(-2) - -2. Suppose -h*d - 2*d = -0*d. Is 3\/17 greater than d?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x - s = 3*s + 52, -s + 95 = 5*x. Suppose p + 3*p - w = 19, 3*p - 2*w = x. Let i be (6 + 8)*8\/14. Solve -5*m - i = h + 5, 11 = p*h - m for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = -y**3 - 8*y**2 - 8*y + 7. Suppose -2*d - 3*j = 11, -6 = -0*d + d + j. Let p be q(d). Suppose 0 = -3*u + u + 3*f + 4, -4*u = 5*f + p. Sort 0, -2, u.\nAnswer: -2, u, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 210*r = -1556321 + 1541621 for r.\nAnswer: -70","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 44 a factor of 2464?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -2210 + 2199. Which is the closest to -1? (a) -0.04 (b) u (c) 1 (d) -0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3 - 1 - -29 - (-32 - -42)\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*sqrt(65)\/sqrt(5) + -2 + (1 + sqrt(13))**2.\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -73*m**2 + 41*m**2 + 11*m**2 + 17*m**2.\nAnswer: -4*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l = -3*z + 117, -2*l + 7*l = -3*z + 585. What is the remainder when 449 is divided by l?\nAnswer: 98","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 3075931 - 3076627.000064. Let v = c + 696. Round v to five dps.\nAnswer: -0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 28051651?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand -12*k**3 - 97 + 97 + (0 + k + 0)*(-2*k**2 + 3*k**2 + k**2) + (0*k**2 + 2*k**2 - 4*k**2)*(2*k - 2*k + 3*k).\nAnswer: -16*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 16 - 21. Let b(o) = 66 - 2*o - 95 + 33. What is b(y)?\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = k**3 - 6*k**2 + 5*k + 4. Let s be b(5). Suppose s*p - 24 = -0*p. Suppose z + 15 = p*z. Solve -z = 5*f - 18 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -11 + 16. Suppose 0 = 2*w - 5*d - 158, -16 = -d + p*d. Suppose v + w = 3*y, -y - v + 30 = v. What is the highest common factor of 24 and y?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 8149181 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = 2*g**3 + 65*g**2 + 4. Let t(q) = 1. Give 4*t(d) - v(d).\nAnswer: -2*d**3 - 65*d**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -228 + 78. What are the prime factors of ((-1)\/2)\/(3\/l)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -2, -22, -46, -74, -106?\n\"Answer: -2*k**2 - 14*k + 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (-239)\/(-2390)*1\/(-1)?\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let -10\/7*l + 4\/7*l**2 + 6\/7 = 0. What is l?\nAnswer: 1, 3\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 98617*s - 377175 wrt s?\nAnswer: 98617","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 96 is divided by 43?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 8\/((21\/(-6))\/(-7)). Suppose 3*a - i = 65. What is the remainder when a is divided by 7?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) be the third derivative of 5*z**8\/112 - z**6\/15 + 37*z**5\/20 + 384*z**2. Find the third derivative of d(t) wrt t.\nAnswer: 900*t**2 - 48","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -22, 2, -5, 0 in descending order.\nAnswer: 2, 0, -5, -22","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:45 PM and 12:52 AM?\nAnswer: 127","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -64 divided by 6183?\nAnswer: -64\/6183","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*u - n + 15, n = 2*u - 8 + 11 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1764922170?\nAnswer: 2, 3, 5, 11, 5348249","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: (-36)\/6*2\/12*3\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -777.3 smaller than 5023?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1.229 + 0.929. What is the third smallest value in 1\/4, j, -6, 2\/3, 30?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -8606 + 14401. What is the greatest common factor of 285 and y?\nAnswer: 95","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 252 and 936?\nAnswer: 6552","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 5\/3333 and 143\/1279266?\nAnswer: 14071926","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*g + 3*j = -66, -2*g - 1409*j + 24 = -1406*j for g.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 575510359 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u + 18 = 4*w, 0*u + 2*u - 5*w - 12 = 0. Let r = u + 3. What is the units digit of r?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (32348\/169827)\/((-24)\/7)?\nAnswer: -1\/18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 0.7871023 meters?\nAnswer: 787102300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find f such that -3*f**3\/5 + 1758*f**2 - 6800004*f\/5 + 521697672\/5 = 0.\nAnswer: 86, 1422","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 2170.8102 - 2171. Let a = k - -0.201. Round a to 3 dps.\nAnswer: 0.011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find r such that -4*r**2 - 30008*r - 269748 = 0.\nAnswer: -7493, -9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 16673 is divided by 256?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5\/2*4\/(-55).\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 - 39 + 18 + 9 + 11 - 54*t.\nAnswer: -54*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 208*z + 1391 + 156 + 741 = 0 for z.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9064*w + 21047*w - 11982*w.\nAnswer: w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((1\/(-2))\/1*2)\/1.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = 4*g**2 + 23*g - 3. Let p be s(-6). Suppose -4\/9*n**p + 0 + 0*n**2 - 2\/9*n**4 + 0*n = 0. What is n?\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2 (base 14) to base 15.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 1 + 0*a**2 - 13*a**2)*(5*a - 6*a**2 - 5*a).\nAnswer: 78*a**4 + 12*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k\/k**(-2\/9))\/k*k*k*k**(2\/25))**(-24)\/(k*k*(k**(-1)\/k)\/k*k**0\/k*((k**1*k)\/k)\/k**(5\/4)) assuming k is positive.\nAnswer: k**(-15901\/300)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*v + v**4 + 9*v**2 + 4*v**2 - 2*v**4 + 2 - 14*v**2 to x*v**4 + r*v**3 + z + n*v**2 + y*v and give x.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 125831\/29 + 2 + 3 + -2?\nAnswer: 2, 13, 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 6 + -1. Let j(q) = q - 12. Let s be j(6). Let u be (9\/s)\/(1\/(-2)). Which is the nearest to -1? (a) u (b) 0.2 (c) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-1 + 3 - 4)*(0 - 1 - 1) - 7 + 4 + 2 + (0 - 2 + 0)*(-4 - 1 + 4) - 3 + 1 + 1 + 3 + 1 - 6)*(1 - 1 + 2*r**2).\nAnswer: 4*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 5903 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -212+176961677259\nAnswer: 176961677047","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -28255\/6 + 4682. Let l = -27 - o. Let z(v) = -2*v + 4. Let f be z(4). Which is the biggest value? (a) f (b) l (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d*d\/(d**(4\/3)*d*d)*d)**33*d\/d**11*d\/(d\/d**(4\/15)*d) assuming d is positive.\nAnswer: d**(-326\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*m**4 + 53828*m**3 - 215252*m**2 + 53788*m + 322872 = 0.\nAnswer: -1, 2, 3, 13453","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0 - 189*c**2 + 0 + 201*c**2.\nAnswer: 12*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 108\/10*(1170\/27)\/26.\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -15*2\/(-6 + 12). Which is the closest to -2\/3? (a) 1 (b) 0 (c) p (d) -1\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 116 = 3*j - 187. What is the remainder when j is divided by 85?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -2742366136625\/6948 - -394698640. Let q = c + -1\/1158. What is the common denominator of q and -51\/140?\nAnswer: 1260","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) be the first derivative of -3*p**4 - p**2\/2 - 8. Let j(x) = -x + 2. Let d be j(3). What are the prime factors of q(d)?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) be the first derivative of -1 - 2*g + 65\/2*g**2. Does 21 divide r(1)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = 2*g**2 + 12*g - 9. What is the tens digit of i(-10)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -202523, -810536, -1824041, -3243038, -5067527?\nAnswer: -7297508","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 426*v**2 - v + 21352 wrt v?\nAnswer: 852*v - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ywby when four letters picked without replacement from nwbbbwbnbyyyy.\nAnswer: 1\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 + 1 - 3)*(-2 + 3 - 4)*(-4*q + 3*q + 3*q).\nAnswer: -12*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.79*-2848.25.\nAnswer: -2250.1175","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0 + 5. Suppose 0 = 2*x + 5*i + 1, 3*i - 12 = -z*x + 5*i. Suppose 0 = 4*s + 6 + x. Sort 0.4, s, -1\/6 in decreasing order.\nAnswer: 0.4, -1\/6, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-183)\/21 - (-2)\/(-7). Let j(c) = c**3 + 9*c**2 - c - 11. Let r be j(h). Is 5*41 - (-2 + r) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.0623 + -0.0620878. Round n to five decimal places.\nAnswer: 0.00021","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 831?\nAnswer: 3, 277","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = r**3 + 6*r**2 - 10*r - 4. Determine a(-7).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(17) + -3 + 0 + sqrt(2057) + (2*-1*sqrt(68) - sqrt(68)))**2 + ((sqrt(153) - 1*sqrt(153)) + -3 - (sqrt(153) + 1)*2)**2*5.\nAnswer: 258*sqrt(17) + 4027","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 12 (base 16) to base 14\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-35)\/14*-12*26084*2\/6. Round p to the nearest 10000.\nAnswer: 260000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 230 divided by -46?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -92 - -154. What is the hundreds digit of 13175\/r - 1\/2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.024? (a) -0.5 (b) 4.9 (c) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0 or 890\/1113?\nAnswer: 890\/1113","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i + 0*t - 2 = -5*t, 0 = 3*t - 6. Suppose 0 = -a + i*a - 20. What is the second derivative of 5*z**3 + a + 6*z - 12 - 8 wrt z?\nAnswer: 30*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 66379.22 micrometers?\nAnswer: 6.637922","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 126 and 154.\nAnswer: 1386","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 0.4562643l?\nAnswer: 456.2643","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:03 PM and 1:31 AM?\nAnswer: 568","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 54 and 631934487.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 26968 + -26847. Let k be (-31 + -2)\/(6\/(-4)). What is the highest common factor of k and x?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -9*v**3 - 6*v - 19*v**2 - 581 + 581 + 10*v**3 in the form r*v + g + d*v**3 + b*v**2 and give r.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r*r**(-2\/9)*r)**(-27\/5) assuming r is positive.\nAnswer: r**(-48\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 (base 10) in base 14?\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 76*h - 56*h + 60 = 0 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express 2 + 2*x**3 - 8*x + 0*x + 4*x - 4*x**3 in the form o + m*x**2 + q*x**3 + f*x and give o.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 141*j**2 + 133*j**2 + 140*j**2 + 6 - 389*j**2 - 6.\nAnswer: 25*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve s + 3*y = -16, -3*y + 24 = -4*s - 5*y for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*((sqrt(720) + -2*sqrt(720)*-5 - (sqrt(720) + -1*sqrt(720))*-1) + 4 + (1*sqrt(720) + 4 + sqrt(720) + (sqrt(720) + -1)*5)*5))**2.\nAnswer: -4416*sqrt(5) + 6094084","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d*d**(-2\/47))\/(d*d\/(d\/(d*d*d*d**7*d*d))*d)*d*d**(-2\/47)*d*d\/d**(-18))**(-40) assuming d is positive.\nAnswer: d**(-14880\/47)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 30 - 18. Solve -8 = -5*x + w for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 3749622 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-255)\/153*36\/(-30). Let n(o) = -o**3 + o**2 - o. Let i(t) = -6*t**3 + 5*t**2 - 7*t + 1. Let v(w) = -i(w) + 4*n(w). Determine v(y).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 9*v**3 + 10*v**2 - 11*v + 21.\nAnswer: 54*v + 20","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*l - 5*z + 30, 6775*l = 6773*l + 5*z for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 10097 is divided by 1436.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 159423?\nAnswer: 3, 11, 4831","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 2056 and 7151282?\nAnswer: 514","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -30354, -60459, -90564?\n\"Answer: -30105*y - 249","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = -3*g + 2*g**3 + 2*g - 2*g**2 - 2*g - 5. Let l = 1 + 3. Is n(l) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -6, 15, -408, -77.\nAnswer: -408, -77, -6, 4, 15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yp when two letters picked without replacement from dppddoynddnpd.\nAnswer: 1\/52","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*y**3 - 8*y**3 + 3*y**3 + 13*y**3.\nAnswer: 12*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(-7))**22*l\/(l\/(l*l\/(l\/(l**(-4\/9)\/l))*l))*l\/(l**(24\/11)*l) assuming l is positive.\nAnswer: l**(-15407\/99)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence covc when four letters picked without replacement from {v: 3, o: 6, j: 1, a: 3, c: 3}.\nAnswer: 9\/3640","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-423217 - 16835*q + 423217 - 687*q)*(2*q - 2*q + q**2) to l*q + y + s*q**2 + d*q**3 and give l.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -2339, -1, 5 in increasing order.\nAnswer: -2339, -1, 1, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p - 3 - 5 = 0. What is the remainder when 23 + (1 - -4 - 0) is divided by p?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 79868 divided by -4.\nAnswer: -19967","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (5\/(30\/(-2)))\/(8\/2).\nAnswer: -1\/12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -45*g + 58 = -122 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (4 - 4 - 2*i)*(55*i**2 + 5*i**2 - 22*i - 46*i**2) to v*i + h*i**2 + s + j*i**3 and give h.\nAnswer: 44","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -11*i + 8*i - w - 6, -2*w - 9 = 3*i for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y + 6 + 6 = 0. Let u be y - 68\/(-2) - -1. Suppose -6*l + u = 9. Solve 2*h + l*q - 2 = 0, 2*q + 4 = -h + 5 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) be the second derivative of -f**7\/6 - f**6\/5 - f**5\/15 - f**2 - 2*f. Let j(i) be the first derivative of a(i). Factor j(d).\nAnswer: -d**2*(5*d + 2)*(7*d + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = 5*s**2 - 11*s + 9. Let q(x) = -5*x - 1 - x**3 + 6*x**2 + 4 - x**2. Let r be q(3). Is c(r) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = -a**3 + 3. Let o(u) = u**3 - 4*u**2 + 5*u - 2. Let m be o(3). Let s(g) = 5 - m + 6 - 2*g**3. Let k(y) = 13*n(y) - 6*s(y). Differentiate k(x) wrt x.\nAnswer: -3*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 10 + -6. Let o(m) = 1 + 5 - 2*m - 4. Let n(q) = q - 1. Let w(y) = h*o(y) + 7*n(y). What is the derivative of w(r) wrt r?\nAnswer: -1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2906832101 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -0.2, -2784534, -1\/4?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = -70*x**2 - 13*x + 2. Let j be k(7). Let t = -49235\/14 - j. Calculate the common denominator of -99\/16 and t.\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 68*y - 41*y - 210*y + 66*y + 116*y - 91.\nAnswer: -y - 91","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 492707?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (44\/(-924))\/((-3)\/9)*-8.\nAnswer: -8\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*p**2 + p**2 + 0*p**2 + 8*p**2 - 6*p**2.\nAnswer: -2*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = -62*i**2 + 4*i. Let g(o) = -186*o**2 + 11*o. What is 4*g(u) - 11*x(u)?\nAnswer: -62*u**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 260 a factor of 2537080?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 5964 or 72?\nAnswer: 72","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 5298421 to the nearest integer?\nAnswer: 174","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13*c + 46 = 2*l, 2*l - c - 2889 + 2891 = 0 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {s: 1, m: 17}. Give prob of picking 4 m.\nAnswer: 7\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = 38*k**3 + 4*k**2 + 2*k + 7. Let l be r(-2). Let o = l + 286. Are 2\/1055 and o unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 36 and 9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*v**3 + 3927*v**2 + 754*v**2 - 716*v**2 - 2*v + 4*v + 5*v**3 as m*v**3 + l*v + d + h*v**2 and give l.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is (9884630\/735)\/((-12)\/(-126)) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -241716 by -20143.\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(486) + sqrt(6))\/sqrt(2) - (sqrt(3) + sqrt(3) + (sqrt(15)\/sqrt(20))**2 + 0).\nAnswer: -3\/4 + 8*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3? (a) 9 (b) 1\/3224 (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*g + 7 = -i - 3*g, 0 = 2*g - 4 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Add -4 and -399138.\nAnswer: -399142","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -365 - -332. Which is the second smallest value? (a) -1 (b) 0.5 (c) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in 41, 1\/3, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*n = 347 - 239. Let k be 1\/(-6)*(n + -22). Factor 2\/3*h**3 + 0*h + 0*h**2 + 0 - k*h**5 + 0*h**4.\nAnswer: -2*h**3*(h - 1)*(h + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 344985, 1379929, 3104835, 5519703, 8624533, 12419325?\nAnswer: 16904079","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z = -4*q, 0*q = -z + q. Suppose 0 = -z*h - 2*h + 2. Let d be (0 - h)*1*-2. Solve d - 7 = -s for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0.2 or -5.7?\nAnswer: -5.7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is -41278 less than -41287?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 minutes before 4:41 AM?\nAnswer: 4:37 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 115 and 4280737.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-45 + 23 - 13) + 4?\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = 103*m**3 + 3*m**2 - 4*m. Let y(a) = 105*a**3 + 3*a**2 - 5*a. Calculate -5*j(p) + 4*y(p).\nAnswer: -95*p**3 - 3*p**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -14*r + 18*r - 12. Find the third derivative of -2 - 20*t**2 + 2 - 9*t**r - 17*t**3 wrt t.\nAnswer: -156","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -212 (base 6) in base 8?\nAnswer: -120","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -67 - 67 + 105 - 4*g + 2*g**4 to w*g + u*g**4 + a*g**2 + h*g**3 + m and give w.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (13\/(-52))\/(9\/4). Let s = 0.0565 - 0.2565. Which is greater: s or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence uen when three letters picked without replacement from {n: 10, e: 1, u: 1, r: 5}.\nAnswer: 1\/408","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 25\/779812 and -19\/7372768.\nAnswer: 81100448","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {e: 8, n: 1, l: 5, d: 1, r: 2}. What is prob of picking 1 d, 1 n, and 1 l?\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 4554, 9371, 14458, 19821, 25466, 31399?\nAnswer: 37626","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w = 5*w + 32. Suppose 5*g - 13 - 6 = 3*u, 5 = -5*u - 5*g. Let c = 15116 + -15115. Sort c, w, u in ascending order.\nAnswer: w, u, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 3\/7 - 5196\/(-28). What is the derivative of 3 + v*l**2 - 186*l**2 - 6*l**3 wrt l?\nAnswer: -18*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = l - 1. Let z(h) be the first derivative of 3*h**3 - h**2 + h + 2072. What is -2*k(b) - 2*z(b)?\nAnswer: -18*b**2 + 2*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 226?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -20 + 10 - c - 25 - 18 + 53.\nAnswer: -c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 8343*d*m**2*r + 2*d*m**2 - 15*d*r**2 - 564*m**2*r - 352*m*r**2 wrt d.\nAnswer: 8343*m**2*r + 2*m**2 - 15*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*g + 5*g = 80. What is the highest common divisor of g and 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-18420)\/35612)\/(10\/(-2)).\nAnswer: 3\/29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -5*x**3 - 9703*x**2 - 195031*x.\nAnswer: -30*x - 19406","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 421.7 - 408. Let y = 48.2 - d. What is y rounded to the nearest ten?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -776 take away -71.399775144?\nAnswer: -704.600224856","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 1117 less than -3?\nAnswer: -1120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 5 + 0)*(2 + 2 - 6)*(9*g + 0*g + g)*(-5 - 4 + 0).\nAnswer: -180*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 2*y**4 - 4*y**4 + 3 - 5 wrt y?\nAnswer: -8*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = -6*o + 1. Let q(x) = -3*x. Suppose 0 = -5*a + 7 + 13. Let m(z) = a*j(z) - 7*q(z). Determine m(3).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 153\/2 - 78. Let l = -309\/5 - -62. What is the nearest to 0 in l, r, 4?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2 + 1)\/((-580)\/(-40) - 14).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express 48*i + 31*i - 75*i - 2746 as h*i + y and give y.\nAnswer: -2746","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = 36*a**3 + a - 1. Let f be q(1). Let n = 36 - f. Suppose n*k + 2*k + 200 = 5*b, -121 = -3*b + k. Is b a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 25201524 a multiple of 76?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -10727, -10708, -10689, -10670?\n\"Answer: 19*b - 10746","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t - 625 = -5*w + 1420, 2*w + 1630 = 4*t. Does 23 divide t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 164 + -87. Let q = -85 + z. Let b(j) = 2*j + 7. Give b(q).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 41 and -38.\nAnswer: -1558","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 171788?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = -9*b + 4*b + 4*b**2 - 3*b**2 - 7 + b. What is the remainder when 41 is divided by h(7)?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1)\/(-5)*(-14)\/(420\/(-125))?\nAnswer: 5\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express 7*q**2 + 54 - 130 - 6*q**2 + 74 + 52*q as c*q**2 + o + b*q and give b.\nAnswer: 52","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = -z**2 - 3*z. Let t(i) = -i**2 + 2*i - 6. Let o be t(2). Calculate b(o).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -7507970, -7507968, -7507966, -7507964, -7507962, -7507960?\nAnswer: -7507958","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 294980 and 938518?\nAnswer: 459873820","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -48 + 55 + -2*2\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: a (base 14) to base 3\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.3, -4, 3, -32\/9, -23\/3, -1.\nAnswer: -23\/3, -4, -32\/9, -1, 0.3, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 125\/4234446 and 39\/88.\nAnswer: 186315624","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 4, -475, -1, -4 in ascending order.\nAnswer: -475, -4, -1, 1, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = -2*h + 5. Suppose -2*g = 3*l - 13 + 2, 3*l = 3. Let f be c(g). Let i = 5748 - 5748. Sort 22, i, f, 2 in increasing order.\nAnswer: f, i, 2, 22","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h + 74 = -3*o + 584, 502 = -3*h + o. Let a be ((-415)\/(-15))\/((-3)\/(-27)). Let b = h + a. Is b a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from rrrrrqrrrrrr. Give prob of picking 2 r and 1 q.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 260 and 884.\nAnswer: 4420","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/24 of a hour in seconds?\nAnswer: 150","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(9) + (sqrt(36)*1)\/sqrt(4))\/(sqrt(75) + (sqrt(75) - (sqrt(75) + (sqrt(75) - (sqrt(75) - (-1*sqrt(75) + sqrt(75) + sqrt(75)))) + sqrt(75)))).\nAnswer: -2*sqrt(3)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 711 and 36.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = 27*h + 105. What is r(-6)?\nAnswer: -57","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 1300457 to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v\/v**5*v*v**(-6)\/v)\/(v*(v*v**0)\/v)**(-26))\/((v*(v*v\/(v*v**0*v))\/v*v\/(v\/v**6*v*v))\/((v\/((v\/v**(-2\/3))\/v*v))\/(v**(-3)\/v))) assuming v is positive.\nAnswer: v**(46\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 13.6 + -13.539. Let h = 4.839 + m. Let f = h - -0.1. What is the second smallest value in 2, -0.1, f?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(-35)\/q**(-4))**(5\/4) assuming q is positive.\nAnswer: q**(-155\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -2 + 1107a065?\nAnswer: 1107a063","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 9.8 - 5.8. Sort 2\/11, m, 0, -10 in descending order.\nAnswer: m, 2\/11, 0, -10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (3 + 2)*2\/35*-516. Let p = -147 - c. Let d = 0.5 - 0. Put d, p, -1\/4 in ascending order.\nAnswer: -1\/4, p, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in 114, 3, 2\/7, 3065, 0.3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -8c1610 (base 14) to base 11\nAnswer: -27669a8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.42 - 7.62. Let p = k - -7. What is the biggest value in 0.3, p, 0.2?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = 7*s. Let c = -100 - -115. Let b(w) = -153 + 38*w - c*w + 153. Give o(b(n)).\nAnswer: 161*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = -64*n - 24. Let o(y) = 13*y + 5. Let s = 293 - 269. Determine s*o(x) + 5*c(x).\nAnswer: -8*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Determine j, given that 14*j**2 - 1683*j + 1195 = 0.\nAnswer: 5\/7, 239\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Divide 4 by 12436294.\nAnswer: 2\/6218147","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is c (base 16) in base 3?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 3\/5, 2\/55, 7, 95?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 130991 is divided by 186.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 447 - 358. Suppose 3*q - 5*h + 459 = 0, q - h = -62 - l. Which is smaller: q or -147?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2504*o = 2568*o - 557952. Does 21 divide o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -77 = -2*h - 2*u + 5*u, 2*h = -3*u + 95. Suppose 5*k = 12 + h. What are the prime factors of k?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22*h + 24*h - 6 = 0. Solve -6 = 2*t - 3*t - 2*s, t = h*s - 4 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -333, -1399, -3153, -5577, -8653?\nAnswer: -12363","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in three fifths of a decade?\nAnswer: 6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 21 - (-6 + 29 - 3) - (-9 + 0).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = q**2 + 6*q - 10. Let w be t(-9). Suppose 0 = -2*k + k - 8. Let z = k + w. What are the prime factors of z?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0059848 rounded to four decimal places?\nAnswer: 0.006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -21*o + 45 + 4*o + 16 + 4 wrt o?\nAnswer: -17","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -81.4813 - 15.9.\nAnswer: -97.3813","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4 - 3 - 25*z - 1.\nAnswer: -25*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -28 + 55 - (-18 + 57).\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*h - 6 + 4. Does 14 divide (96\/20)\/(h\/(-5))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 4006, 8450, 12882, 17296, 21686, 26046, 30370?\nAnswer: 34652","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 3 - w)*(-5 + 4 - 1) + (-w + 0 + 0)*(-4 + 2 + 4) + 2*w + 2*w + w.\nAnswer: 5*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -5, 21, 11, -1 in decreasing order.\nAnswer: 21, 11, -1, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 0.2 times -1.2\nAnswer: -0.24","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 418 minutes before 7:06 AM?\nAnswer: 12:08 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000728173 rounded to seven dps?\nAnswer: -0.0000728","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 6685 to the power of 1\/2, to the nearest integer?\nAnswer: 82","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-13 + 8 - 6)*(-5 + 5 + 5*i)*(3 - 4 + 0 + (-3 - 2 + 4)*(-2 - 4 + 4) + 1 + 0 + 1).\nAnswer: -165*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1 - -9) + (229 - 233).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a + 47 = v, 6*v - 3*a = 2*v - 52. Let l be 0 - (0 + (-2 - 0)). Let c be (l\/9)\/((-26)\/3). Is v > c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 12800547 to the power of 1\/9, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -15 - -6. Let g = -12.0475 + 3.04. Let l = g - i. What is l rounded to three dps?\nAnswer: -0.008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d + 50 = -f, -f = 5*d + 2*f - 136. What is the remainder when 491 is divided by d?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -15205, -15208, -15211?\n\"Answer: -3*t - 15202","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 2295966?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = l**3 + 2*l**2 + 2. Let q be u(-3). Let j = -33 - -33. Suppose 2*o = -12 - j. Is o bigger than q?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 84 and 14514892?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = 2*y**3 + 5*y**2 - 6*y - 3. Let l be b(-3). Let m(s) = s**2 + 6*s + 4. Let r be m(-6). Suppose r*w - 2 = l. Solve 2*c - c = -w for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 429714366?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1 - -3. Let y = -0.2 - -0.19. Let x = y - -0.21. Put x, 0.5, o in descending order.\nAnswer: o, 0.5, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 647540 and 5180320?\nAnswer: 5180320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 178272627?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*j**5 - 2 + 2)*((0 - 2 + 4)*(1 - 6 - 1) + 2 - 2 - 1 + 1 + 2 - 9 + (1 + 1 - 3)*(0 - 1 - 1)).\nAnswer: 68*j**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 42 minutes before 8:28 PM?\nAnswer: 7:46 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((((r\/r**0)\/r*r)\/r*r*r)\/r)\/r)\/(r\/(r\/((r\/r**(3\/8))\/r))))\/(r**(-2\/3)*r)**(-41\/2) assuming r is positive.\nAnswer: r**(173\/24)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = -a**3 - 10*a**2 - 9*a + 10. Let n(t) = -t**3 - 4*t**2 + 8*t - 4. Let r be n(-6). Let z = 11 - r. Is y(z) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2016 is divided by 45.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 10955?\nAnswer: 5, 7, 313","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: (-35)\/((-3150)\/(-20))*-27\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) be the first derivative of -m**6\/3 + 8*m**5 - 145*m**4\/2 + 940*m**3\/3 - 700*m**2 + 784*m + 106. What is x in f(x) = 0?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w**5 + 1056*w**4 + 23976*w**3 + 17696*w**2 - 111564*w + 68832 = 0. Calculate w.\nAnswer: -239, -24, -3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 38894796 a multiple of 36?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i - 2 = -r, i - 3 + 13 = -3*r. Let n(d) = -3*d - 2. Let b(q) = 5*q + 2. Let c(v) = -8*v - 3. Let k(a) = 5*b(a) + 3*c(a). Give r*k(s) - n(s).\nAnswer: -s - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -15*s + 39*s - 11*s + 659 - 14*s to the form p + t*s and give t.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = 5*g**2 - 88*g + 317. Determine h(13).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 2088 and 464.\nAnswer: 4176","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -155 (b) -7 (c) 2\/19 (d) 4 (e) 11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 0.4753+362727665.9\nAnswer: 362727666.3753","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(240)\/(sqrt(4)*2) + 1*sqrt(4860))\/((sqrt(144) - 5*sqrt(144)*-1)\/sqrt(12)))**2.\nAnswer: 1805\/144","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(-3*((sqrt(200) - -3*sqrt(200)*1) + 1)*6)**2.\nAnswer: 129600*sqrt(2) + 5185620","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 12 - 7. Let l = -372 + 387. Suppose -3*j + 5*p - 4 = -1, -j + 5*p = 11. Put g, l, j in decreasing order.\nAnswer: l, g, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 4\/10 + 17\/(-5). Let f = 403 + -406. Let x be (-46)\/f*w\/(-2). Calculate the highest common divisor of 184 and x.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -20.17 + 21.993. What is u rounded to 2 dps?\nAnswer: 1.82","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 113 is divided by 59.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -6, 2, 14, 30, 50?\n\"Answer: 2*u**2 + 2*u - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out -34 + 1120415.\nAnswer: 1120381","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.307194 + -0.207194. Let r(v) = -v**3 + 7*v**2 + 7*v - 4. Let m be r(8). Let l be (-4)\/30*m - 1. Which is the closest to 10? (a) -0.1 (b) n (c) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10*g - 8*g - 105*g + g - 33*g.\nAnswer: -155*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = -n**2 + 11*n - 2. Let o be g(11). Let m be o\/(-3) - 880\/(-3). Suppose -66 = -8*x + m. What are the prime factors of x?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = 2*i**2 - 6*i + 3. Let r(u) = 2*u**2 - 5*u + 2. Determine -3*m(w) + 4*r(w).\nAnswer: 2*w**2 - 2*w - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s = -3*q - s - 464787, 0 = s - 3. Suppose -2*h - 4 = 0, 0*p - 62774 = -3*p - 5*h. Let m = q + p. Round m to the nearest ten thousand.\nAnswer: -130000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = -s**2 + 15*s - 22. Let o(h) = -1. Let g(p) = -2*o(p) + x(p). Is 12 a factor of g(8)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*j - 4*v + 36, j = -2*v + 15 - 1. Suppose -j*d = l - 14, -l + d + 4 + 5 = 0. What is the tens digit of l?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 166244932.\nAnswer: 2, 7, 683, 8693","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 44 and 120.\nAnswer: 1320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -10110010 - 1010110?\nAnswer: -100001000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = m**2 + 3*m + 2. Let i be r(-2). Suppose -f + 0 + 6 = i. Let l be (-2 - -1)\/(11\/(-99)). Solve l = c - 4*u + 1, f = c - 3*u for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2830499 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1 + 0 + 0)*(-6*h + 3*h + h)*(14 + 13 - 7)*(-h**2 - h + h) to the form v*h**2 + l*h**3 + a + d*h and give l.\nAnswer: -40","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 19 + -2 - 6 - 8. Differentiate 53*l**j + l - l - 908 + 32*l**3 + 817 with respect to l.\nAnswer: 255*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 2 (b) -2 (c) 13 (d) -6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 316282 - -57?\nAnswer: 316329","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 44767589?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 3.78 + -0.78. Put 0.5, l, 2 in increasing order.\nAnswer: 0.5, 2, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -7 + 55 + (-14 - (-14 - 5)) + -5?\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 8147.6832 + -8147. Round f to one dp.\nAnswer: 0.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 34*m**2*u**2 + 4*m**2*u - 118*m*u**2 + 28*m*u - u**2 + 16*u wrt u?\nAnswer: 68*m**2 - 236*m - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -381 - -383. Which is the second biggest value? (a) 0 (b) n (c) -7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1561709 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let -12*v**3\/17 - 105638*v**2 - 1496532*v\/17 - 299306\/17 = 0. What is v?\nAnswer: -149653, -1\/2, -1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -7 - (-6 - (-6 - (-3 - 4)))?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -2 - 1\/((-3)\/366). Suppose f + s = -2*f. What is the units digit of f\/(-25)*5\/2?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-13)\/(-2)*(-16)\/8*-1. Suppose 15 = l + b. Let x(y) = y**2 + 2. What is the lowest common multiple of l and x(-3)?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 + 1 + 5 + -1.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -86 - -142. Suppose -11*o + m = -7*o. What are the prime factors of o?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6 - 15 - (-1 - 3).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -14155 (base 7) to base 13\nAnswer: -19b1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 681999 is divided by 146?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 9.5 - 2.5. Let i = -6.6 + o. Let m = -2 - 1. What is the third biggest value in i, m, 3\/7?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -257720 * -2.546\nAnswer: 656155.12","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert 228.3654 centimeters to millimeters.\nAnswer: 2283.654","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -56 - -44 - -4 - 27.\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -3\/7123 + -619653\/113968. Calculate the common denominator of 43\/20 and l.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -84 = -22*u + 16*u. Suppose -u = 3*m - 35. Let y(d) = d**3 - 3*d**2 - 2*d + 3. Let t(z) = -3*z**3 + 7*z**2 + 5*z - 7. Give m*y(q) + 3*t(q).\nAnswer: -2*q**3 + q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 17266310?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -88 - -71. Let f(m) = -m**2 - 30*m + 14. List the prime factors of f(d).\nAnswer: 5, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 45670\/7 or 1\/6?\nAnswer: 45670\/7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 252? (a) -3 (b) 0.05 (c) -0.273\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1625?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 2\/13, 0.1, 0.4, 0.3, -3, -116\/5?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = 58*p + 2. Calculate the remainder when h(1) is divided by 16.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*h + w + 2*w - 16, -2*h = 2*w. List the prime factors of h\/4 + 13\/2.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = -q**3 - 9*q**2 - 2*q - 3. Let g(s) = s**3 + 8*s**2 + 2*s + 3. Let l(r) = -6*g(r) - 5*j(r). Let u = -2 + -1. Calculate l(u).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 104206 and 104206 equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round -36344.40141 to the nearest 1000.\nAnswer: -36000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = -2 - m**2 - 3 + 4. Let x be o(2). Let f = x - -11. Solve -f = -h - 3 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-3)\/(-12)*(-12)\/(-9). Let n = -2 + 2. Let y = 0.2 - n. What is the nearest to 2 in x, 1\/4, y?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence siw when three letters picked without replacement from wiiiowowis?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 82, 0.5, 2\/57, 4, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b - 16 = 3*h, -4*h - 3 = -2*h + 5*b. Suppose 3*i - 4*i + 3 = 0. Suppose 24*j + 160*j = -552. Sort -5, i, j, h.\nAnswer: -5, h, j, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.039 times -89?\nAnswer: -3.471","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x - 25*w - 39 = -24*w, -x - 2*w = -51. Calculate the greatest common divisor of 215 and x.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 54459739?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5845670 is divided by 1948556.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-438)\/292*(-8)\/(-18).\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 254 a factor of 30443983?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_test"},"subset":"dm_maths"} +{"text":"Question: What is 6222394 to the power of 1\/9, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 16 + -15. Let a(k) = -162 + 329 - 168. Suppose 11 + 1 = -2*u. Let r(s) = s - 3. What is t*r(d) + u*a(d)?\nAnswer: d + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 29\/2 of a litre in millilitres?\nAnswer: 14500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1011101010 - 10?\nAnswer: -1011101100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 6, 19, 621 in decreasing order.\nAnswer: 621, 19, 6, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 45 a factor of 143897607?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 85*o**5 + 40*o**2 - 280*o wrt o?\nAnswer: 1700*o**3 + 80","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 53 - (11 - (28 + -116)).\nAnswer: -46","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v = 2*f - 121, -22*f + 23*f - 53 = -4*v. Sort -1\/5, f, -3 in decreasing order.\nAnswer: f, -1\/5, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = -118*b**2 - 14*b - 14. Let t(y) = -39*y**2 - 5*y - 5. Let j(c) = 6*g(c) - 17*t(c). Let p be j(-1). What is the units digit of p\/(-20) - (-3)\/4?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 30243524 to the power of 1\/5, to the nearest integer?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = -m**2 - 9*m - 8. Let o be v(-8). Let q be 17 + (o + 2 - 3). What is the greatest common divisor of 32 and q?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 226746391?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 74*d + 13*d - 1504317. Is d composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2739, -3553, -4369, -5187, -6007, -6829?\nAnswer: -7653","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 2547 + -1702. Suppose -55*n + 1575 + h = 0. Let x = 9 + 5. What is the lowest common multiple of x and n?\nAnswer: 308","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 17760517 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-197)\/(-5) + (-21)\/(-35). Let t = q - -156. What is the remainder when t is divided by 33?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*r**2 + r - r)*(11*r - r + 2*r).\nAnswer: -36*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = -2*v + 9. Let z(n) = -n + 4. Let l(k) = -2*b(k) + 5*z(k). Does 9 divide l(-7)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = 9*a. Let d be x(1). Let w(o) = 4*o - 3*o + 3*o - 2. Let l(b) = -b**2 + 9*b + 18. Let m be l(11). Let j(f) = 2*f - 1. Calculate d*j(v) + m*w(v).\nAnswer: 2*v - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = -o**3 - 26*o**2 + 2*o + 44. Let m be h(-26). Is 26 smaller than m?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -286710 divided by 5?\nAnswer: -57342","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6\/(-3)*(-10)\/4.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) 0.081 (b) 0.0036 (c) 5 (d) 0.1 (e) -1 (f) 0.001\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = 36*q + 38. Let l(c) = 11*c + 12. Calculate 3*j(i) - 8*l(i).\nAnswer: 20*i + 18","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1068916601057805*n**4 + 731066550*n**3 + 125*n**2 = 0. What is n?\nAnswer: -5\/14621331, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -16.29 - -14.8. Let w = v - -1.49. What is the second smallest value in w, -1, -2, 13?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 4 - r**2)*(-9*r + 24*r - 6*r).\nAnswer: -9*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.07 + 0.47. Let h = 2265 - 2265.1. What is the nearest to l in 2\/13, -1\/4, h?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -18.333 + -0.067. Let d = 13.4 + t. What is the nearest to d in -0.1, 2\/7, 2\/9?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 o when two letters picked without replacement from yyoyoy?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-12)\/296)\/((-11)\/(-33)). Are 0 and w equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 358624, 1434518, 3227678, 5738104, 8965796?\n\"Answer: 358633*w**2 - 5*w - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + ((sqrt(162) - sqrt(162)*1)\/sqrt(9) + (sqrt(18) + sqrt(18) + sqrt(90)\/sqrt(5) - sqrt(18))*-1)\/((-4*sqrt(594))\/sqrt(11)))*-4.\nAnswer: -8 - 2*sqrt(3)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20 = 71*v - 66*v. What is the nearest to 0 in -26, v, 1\/5?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 75562 - 949?\nAnswer: 74613","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 416 is divided by 104?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*p - 4*p + 4*m = -416588, -p = 3*m - 104147. Is p a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0.4 (b) -829 (c) 0.1 (d) -3\/8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + sqrt(12)\/(2*sqrt(4)).\nAnswer: sqrt(3)\/2 + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -29190197 + 29190062.99971. Let l = -134 - i. Round l to four decimal places.\nAnswer: 0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*sqrt(84)*2 - sqrt(84)*-3*-3)\/(((-2*sqrt(144) - sqrt(144))*1)\/((sqrt(108)*1)\/sqrt(9))).\nAnswer: 17*sqrt(7)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -211, 271, 753?\n\"Answer: 482*p - 693","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*k - 14*d + 4 = -16*d, 3*k + 5*d = -23 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2717160?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-8 + (-3 - -2) - (-21 - -16)) + 18.\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1 + -1. Let k = 7 + m. Factor -k*z + 93*z + 3*z**3 - 5*z - 81 - 27*z**2.\nAnswer: 3*(z - 3)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 163*x**4 - 77*x**4 - 82*x**4 + 2*x + 49 wrt x.\nAnswer: 16*x**3 + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2 * -68862\nAnswer: -137724","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:47 AM and 12:39 PM?\nAnswer: 472","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = -18*c + 199. Let n be -2*((-8)\/2 - (-34 - -25 - -10)). Give l(n).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*y + 70 = -3*y. Which is the third biggest value? (a) 8 (b) -7 (c) y (d) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (25\/(2625\/60))\/((-66)\/21)?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 47476869529 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 29 divide 11261029?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1 - -4. Suppose -j*t + 371 = 4*c, 3*t - 69 - 154 = -2*c. Calculate the highest common divisor of t and 30.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 35 + -35. Which is the closest to 1? (a) -0.5 (b) f (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 29191, 116749, 262681, 466987, 729667, 1050721, 1430149?\n\"Answer: 29187*s**2 - 3*s + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify f**(-2\/5)*f*f**(1\/4)*f**(-3\/7)*f*f\/(f**(-4)*f) assuming f is positive.\nAnswer: f**(759\/140)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) be the first derivative of -p**3 - 5. Let j(c) = c + 3. Let q(z) = -3*z - 7. Let w(u) = -7*j(u) - 3*q(u). Calculate k(w(x)).\nAnswer: -12*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = -2*w + 22. Let k be g(8). Let x be (-32)\/(-24) - 824\/k. Let o = x + 199. What is the highest common divisor of o and 21?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -11\/108 + -4\/27. Let h = -53.3 - -61.3. Which is the third smallest value? (a) 2\/7 (b) -2 (c) l (d) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 48809 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21*g + 6*g + 5655 = 0. Let y = g + -40. Is 23 a factor of y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -20496 + 20480. Put -22, y, 5, 3, 0 in increasing order.\nAnswer: -22, y, 0, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 2\/9 (b) -1\/5 (c) -21 (d) 2 (e) 0.0648\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 139\/600 and -101\/113340?\nAnswer: 1133400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 0.25261554670451 + -3.7\nAnswer: -3.44738445329549","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = -4*m + 6. Let r = 42 - 125\/3. Sort m, 3, -0.3, r.\nAnswer: -0.3, r, 3, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 26 - 29. What is the tens digit of -7 - -31 - (1 + z)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 552 minutes after 10:46 PM?\nAnswer: 7:58 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -d**3 + 0*d**3 + 0*d**3 + 2*d**3.\nAnswer: d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 9995 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 + 2 - (7 - 7).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 + 2828 - -9 - (4 + -2) a multiple of 150?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f + 3*d - 34 = 11, f - 3*d = -21. Let t(o) = o + 5. Let h(v) = v + 6. Let g = -62 - -69. Give f*h(c) + g*t(c).\nAnswer: c - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -369*x**2 - 150*x - 493340 wrt x?\nAnswer: -738*x - 150","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: (38 - -4) + (-126 - -121)\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-20*x + 107*x - 10*x)*(x + 2*x - x)*(13 - 1 - 3).\nAnswer: 1386*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*b**3 + 0*b**3 - 3*b**3 + (0*b + 4*b**2 + 0*b)*(-2*b + 2*b - 2*b) + (-3*b + 2*b + 2*b)*(4*b**2 - 12 + 12) - 2*b**3 + 3 - 3)*(0*b + 2*b + 0*b).\nAnswer: -18*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 + 0 - (22 + -24 + -3)?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 390 - 389. Do m and 15\/64 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5 times 2.995\nAnswer: 14.975","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -8939, -17882, -26811, -35720, -44603?\nAnswer: -53454","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f - 6*f = 90. Let x be 4 - (0 + f - -2). Suppose x = j + 2*w - 29, 3*w = -j + 78. Calculate the least common multiple of j and 7.\nAnswer: 504","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*b + 240 = 2*b - 2*y, -b + 116 = y. What is the first derivative of 3*z + b*z**2 - 59*z**2 + 31 - 2*z wrt z?\nAnswer: 118*z + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = -37*s - 624. Let b be u(-17). Let f be -9*(-2)\/(-14) + 1. Let j = 0.2 + 0.1. What is the nearest to 5 in f, j, b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 8*6\/8*-1. Let u be -6*(a\/(-3))\/(-6). Let q be 1\/u + (-12 - -12). What is the nearest to q in 12, 0.5, 3?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*u**2 - 3*u**2 + 6*u**2 + (-2*u - 2*u + 5*u)*(2*u - 2*u + 4*u).\nAnswer: 10*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 512830 divided by 102566.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -b873 + 269?\nAnswer: -b608","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 16168, 32564, 48960, 65356, 81752?\nAnswer: 98148","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -16444, -32916, -49412, -65932, -82476, -99044?\nAnswer: -115636","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = 19*r - 57. Let a be t(3). Let g(w) = -3 + a*w + 1 - 19*w + 15*w. What is g(-2)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1121 (base 3) in base 7?\nAnswer: -61","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 9060840 to the nearest integer?\nAnswer: 3010","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.3, -0.2, 2\/9, -34\/3, -10 in decreasing order.\nAnswer: 2\/9, -0.2, -0.3, -10, -34\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in twenty-six fifths of a century?\nAnswer: 52","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 147 - 141. Calculate the greatest common divisor of w and 39.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 521103 and 2.\nAnswer: 1042206","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = 2*q**3 - 11*q**2 + 8*q - 4. Suppose -5*k + 21 + 4 = 0. List the prime factors of l(k).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -2260230, -9040953, -20342166, -36163869, -56506062, -81368745?\n\"Answer: -2260245*q**2 + 12*q + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -282 - -282.534. Let y = 0.044 - m. Round y to 2 dps.\nAnswer: -0.49","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1408 by 3694.\nAnswer: -704\/1847","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 3 - a**2)*((-2*a + 0*a + 4*a)*(-1 - 1 + 1) - 6*a + 2 + 5*a - 3*a).\nAnswer: 6*a**3 - 2*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-756)\/11664*(-8)\/(-28)*-8?\nAnswer: 4\/27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 657555 and 708.\nAnswer: 177","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y + 3*y - s + 76 = 0, 70 = -2*y + 4*s. Let u = -9 + 13. What is the least common multiple of y\/(-9)*3 - -1 and u?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = 7*t - 1. Let h be x(1). Suppose -4*f + 46 = 2*i, 2*i + f = h*i - 101. What is the units digit of i?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 7.03 + -7. Let p = t + -0.33. Let s be 4*(28 - 4676\/168). Which is greater: s or p?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0.4, -5.706, 3?\nAnswer: -5.706","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = m**2 - m. Let a be q(3). Let t(s) = 10*s + 176. Is t(a) a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2 take away 33.4965672341?\nAnswer: -33.2965672341","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert 56 (base 10) to base 13.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 688 to the power of 1\/4, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -15 + 30. Solve w = -5*z + 4*x, -2*z - 5*x - 6 = -0*z for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -55*g - 144*g**4 + 2*g**3 + 145*g**4 + 1 - 7*g**2 + 83*g to s*g + v*g**3 + r*g**2 + x*g**4 + y and give x.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 18818118?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((m*m\/(m*m\/(m**(-1)*m*m)))\/m*m)**(2\/17)\/(m*m**2)**(-23\/5))**43 assuming m is positive.\nAnswer: m**(50869\/85)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 50 or -92?\nAnswer: 50","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 (base 4) in base 9?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 4 - 0. Suppose -5*t + h - 39 = 0, 0 = 4*h - 7*h - 3. Let x be t\/(-12) - (-8)\/6. Solve -4*o - 4*b + q = 0, o - 4*b = x*o - 4 for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -15*n**4 + 55*n**3 + 2097*n**2 wrt n?\nAnswer: -360*n + 330","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 25326928 and 8272.\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-10)\/2*8\/(-10))\/(((-13184)\/(-1344))\/103).\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 1023 - 13210223233?\nAnswer: -13210222210","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -237 + 261. Suppose l*n = -14443 + 2635. Are -491 and n non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 3798 and 1266.\nAnswer: 3798","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 444 in -5, -2\/9, 0.4, -4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = -4*f**2 + 18. Let p(h) = 1689*h + 1710*h - 3382*h. Determine g(p(w)).\nAnswer: -1156*w**2 + 18","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 520 minutes before 4:48 AM?\nAnswer: 8:08 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3750 = 334*g - 336*g. Let o = -1089 + g. List the prime factors of o.\nAnswer: 2, 3, 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3136\/(-80) - -39)\/(1\/145)?\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2*m**2*v*w + 2*m**2*v - 6*m*v - 71*m - 1654999*v*w + 3*w + 167 with respect to w.\nAnswer: 2*m**2*v - 1654999*v + 3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 58 divide 23614120?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 8 - (-2041 + (-18)\/(-6)). Suppose 2*h - j + 392 = 4*i, 4*h + 4*i = 3296. Is h a multiple of 33?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 5\/(-6) - 4\/(-8). Let o(d) = -d - 1. Let l be o(-6). Suppose -2*j + 3*g = 9, -g + 6 = -l*j + g. Which is bigger: r or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -21*d + 24 + 46 + 83.\nAnswer: -21*d + 153","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13867*o = 14733*o - 88332 for o.\nAnswer: 102","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = -55*l**2. Let v(y) = 9*y**2. Let z(w) = -3*w + 33. Let n be z(10). Suppose n*p = 2*p - 4. Determine p*q(d) - 25*v(d).\nAnswer: -5*d**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 237090312 to the power of 1\/3, to the nearest integer?\nAnswer: 619","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 47 - 53. Let n be (-4 - -4) + -2 - f. Let z(q) = 4*q - 5. Determine z(n).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 40315793 to the nearest 100000.\nAnswer: 40300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in seven quarters of a millimeter?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2989043?\nAnswer: 2989043","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 301 and 7181?\nAnswer: 50267","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -2383 + 2605. Solve -36*u + y = 78 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -6.3 or -1\/85?\nAnswer: -6.3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 126165011388 + -171991297649425318\/1363225. Let p = -20\/1759 - f. Let c = 56603\/10850 - p. Calculate the common denominator of -63\/20 and c.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1109567 is divided by 2912?\nAnswer: 95","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q = -1 - 2, 5*a - 37 = 4*q. Suppose -10 = 2*d, -2*d = -a*l + 337 + 298. What is the remainder when l is divided by 43?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 646 minutes after 11:42 PM?\nAnswer: 10:28 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -160\/3 - -53. Which is the third biggest value? (a) j (b) -2 (c) -0.06 (d) -0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from kkkykykk. Give prob of picking 2 y and 2 k.\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 (base 4) in base 7?\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 8144310189?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = 3*n**2 + 2*n - 2. Let u be (-22)\/6 + (-2)\/6. Let r be v(u). Let x = r + -18. Is x a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -171749, -171748, -171747, -171746?\nAnswer: -171745","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) -24 (b) -5.1 (c) 1 (d) 3 (e) 0.257\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = -5*h - 4. Let r be u(3). Let i = 31 + r. Let b be (-1 - 7)*(-9)\/i. Solve -5*d + 15 = -3*j + b, 3*d + 5*j = 19 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -23 in 3, -0.9, -0.2?\nAnswer: -0.9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 79\/67 - 8083\/4355. Find the common denominator of -61\/65 and a.\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 48*s - 112678 = -41398. Does 11 divide s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -16635 + 17119. Calculate the least common multiple of b and 1980.\nAnswer: 21780","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 = -0*o - 3*o, 4*c + 2*o = 74. Calculate the greatest common factor of c and 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1232524?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1733 to the nearest integer?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-8)\/(-16) + (-3)\/6*3. What is the fourth biggest value in 4, l, 0, 1\/2?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 67\/108 and 149\/88445556?\nAnswer: 265336668","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1.4 - 0. Let z = 0.6 + o. Let n = 46 + -46.5. Which is the second biggest value? (a) n (b) -0.1 (c) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = 5*x**2 + x. Let q be n(1). Suppose m - 21 = 3*y - 5*y, q = 2*y. Calculate the remainder when 57 is divided by m.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o\/(o*o**(9\/8)*o)*o)**(-3\/7)\/((o*o\/(o\/o**(-2\/51))*o)\/(o*o**(2\/87))) assuming o is positive.\nAnswer: o**(-37739\/82824)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*y + 3*w - 11, -4*w - w = -3*y - 19. Suppose y*b - 57 = -15. Solve 5*z - b - 3 = -2*v, 4*v + z = 12 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 487823?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Do -1 and -2\/55091 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5.56, 7.93, -93, -0.2.\nAnswer: -93, -5.56, -0.2, 7.93","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -0.8, 150.2, 4 in ascending order.\nAnswer: -1, -0.8, 4, 150.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 841.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 840343 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = -379*x - 2. Let f(y) = -41318*y - 219. Give 4*f(p) - 438*s(p).\nAnswer: 730*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2962822 is divided by 34.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 77\/10704996 and 163\/2106.\nAnswer: 1252484532","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-4)\/(-20))\/((-88)\/(-5) + -2)*-4.\nAnswer: -2\/39","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is -490\/11 at most -46?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = q**2 - 2*q - 2. Let f be b(2). Let p be (-8)\/14 + (680\/(-35) - -24). Put p, f, -5, 6 in descending order.\nAnswer: 6, p, f, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zhz when three letters picked without replacement from zoooohzhoooohooooo.\nAnswer: 1\/816","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3145?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -254 and 1031661048623?\nAnswer: 1031661048877","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 369680, 369682, 369684, 369686?\nAnswer: 369688","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -465 + 464 - (34 + -2 + -2 + 2)?\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1630.\nAnswer: 2, 5, 163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z + 6*z = 288. Let p = z - 26. Suppose 3*c - p = -2*c - v, -5*v + 20 = 4*c. Is 3 a factor of c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 39*r - 53*r = -26*r + 228. Sort 8, 2, 1, -3, r in decreasing order.\nAnswer: r, 8, 2, 1, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 1\/5, -1, -4\/7, -0.1?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -65*n - 867 = -152 for n.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 329c81 (base 14) to base 7\nAnswer: 20412121","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 136327?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -129050 or -129052?\nAnswer: -129050","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (2 - -13) + -2 + 1. Suppose 4*d + 4 = 4*p, 2*p + d + d = n. Suppose -9 = -4*l - 2*x + 7, 2*l + 3*x = p. What are the prime factors of l?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-58 - 2) + 0 + 47 + -74 + 0 + 29\nAnswer: -58","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 21.55118 grams?\nAnswer: 21551180","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = -5*k + 90 - 71 + k**2 - 44. Let u be v(9). Solve -u = 4*c + 5 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k + 1 = -3*c, c - 4*c + 4 = -4*k. Let d = -1 - k. Solve -f + 3 - 5 = d for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (-192)\/(-224) - (-11850)\/42 is divided by 157.\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 399333871 to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express (l + 2*l**3 - 3*l**3 + 5*l**3)*(7 - 7 - 4*l) in the form r*l + y + s*l**2 + j*l**3 + g*l**4 and give g.\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = -c**3 - 8*c**2 + 3*c - 3. Let t be o(-8). Let u be (-1 + 2)\/(10\/(-170)). Let g = u - t. What is the tens digit of g?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.18 greater than -15?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is -18156169 >= -18156179?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.26 and -1322010.\nAnswer: 343722.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor -v**3\/4 - 19*v**2\/4 + v\/4 + 595\/4.\nAnswer: -(v - 5)*(v + 7)*(v + 17)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 3.9 times 2\nAnswer: 7.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = -23*a + 25*a - a**3 - 91 + 11 - 12*a**2 + 45*a**2. Let s be x(33). Which is greater: -19 or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 760182?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7427.\nAnswer: 7, 1061","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = -4*c**2 + c - 2. Let k(i) = -22*i**2 + 4*i + 10. Let r(g) = -49*g**2 + 9*g + 21. Let s(x) = 13*k(x) - 6*r(x). What is -5*q(p) - 3*s(p)?\nAnswer: -4*p**2 + p - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1922*r - 307*r + 66540 = -14210 for r.\nAnswer: -50","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -3\/7 (b) 1 (c) -2\/13 (d) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 7501599943 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l + 7*l - c = -43, 26 = -4*l + 5*c. Let q = -14 - l. Suppose -1 - 3 = -4*s. Sort 5, s, q in increasing order.\nAnswer: q, s, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -21, 13, -40368, 4, 6 in increasing order.\nAnswer: -40368, -21, 4, 6, 13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -881, -888, -897, -908, -921, -936?\n\"Answer: -i**2 - 4*i - 876","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -26 (b) 1\/5 (c) 252 (d) 1674 (e) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) -0.0371 (b) 69 (c) -7 (d) 1\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 19*g**2*m**4 - 3*g**2*m**2 - 2*g**2 - g wrt m.\nAnswer: 76*g**2*m**3 - 6*g**2*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1027?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zg when two letters picked without replacement from {z: 1, y: 1, g: 2, k: 1}?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = 84*t + 159. Let p be f(-3). Is -84 smaller than p?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 25 a factor of 45351714?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 782417768.\nAnswer: 2, 11, 661, 13451","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 759 and 414?\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 108*(-3)\/(-24)*6. Suppose -k + c = 2*k. Round k to the nearest ten.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1664, -1563, -1416, -1223, -984, -699, -368?\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 280889358.\nAnswer: 2, 3, 46814893","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = -d**2. What is x(-7)?\nAnswer: -49","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(-3\/7)\/m)**37\/(m\/(m**(-1\/4)*m))**40 assuming m is positive.\nAnswer: m**(-440\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 1 + 6c?\nAnswer: 6d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 835 to the power of 1\/8, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = 3*a + 4. Let q(k) = -2*k - 2. Suppose 0 = -5*d - 14 - 1. Calculate d*i(h) - 5*q(h).\nAnswer: h - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z + 10 = 2*z. Suppose 0 = -z*m + 3*m + 46. Let t = -26 - m. Solve 2*q = q, 4*q = -4*x + t for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g - 41 = -5*b, 0*g - 2*b = 5*g - 47. Let t(s) = 2*s**2 + 5*s + 11. Let q(n) = -n**2 - 2*n - 5. Give g*q(k) + 4*t(k).\nAnswer: -k**2 + 2*k - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0659865 litres in millilitres?\nAnswer: 65.9865","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 60 and 225?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 367 - 221. Let k = p + -70. Is k < 75?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 17, 4, 3, 5, -3, -163, -5 in decreasing order.\nAnswer: 17, 5, 4, 3, -3, -5, -163","meta":{"dup_signals":{},"source":"comparison__sort_test"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -x**4 + x**4 - 6*x**4 - 1 + 656*x - 653*x wrt x?\nAnswer: -72*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j\/(j\/(j**(-2\/21)*j*j)))\/(j*j**(-3\/8)*j)*j**5*j**3 assuming j is positive.\nAnswer: j**(1391\/168)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 9016*i**3*z**2 + 2*i**3*z + 97*i**2*z + 7*i**2 + 3*i*z + 2*z**3 wrt z.\nAnswer: 18032*i**3 + 12*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -63662063\/229362 - -40\/2667. Let d = 555\/2 + v. Which is greater: d or -1?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 1426 - 301*q**2 - 55*q**2 - 6*q**2 + 90*q**2 - 233*q**2 wrt q.\nAnswer: -1010*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.041 take away -68?\nAnswer: 68.041","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 87*m - 6 = 88*m for m.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4397647.\nAnswer: 29, 151643","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.14 + -28090952702.\nAnswer: -28090952702.14","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 7 in 0.2, 0.8, -31?\nAnswer: 0.8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0.5, 2\/5, 7?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1\/124 - -251\/372. What is the closest to 1 in -0.2, d, -4?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*c**2 + 7836555*c - 203747050.\nAnswer: -5*(c - 1567285)*(c - 26)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 o when two letters picked without replacement from totooooo.\nAnswer: 15\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 7\/14 - 1\/2. Let w be 1*(0 - (1 + q)) + -2. Let r = -3839\/258 + 89\/6. What is the closest to r in 4, w, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2 - -4) + (-3 - -8 - 1)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = -199*k**3 - 5*k**2 - 5. Let g(l) = 298*l**3 + 7*l**2 + 7. Determine -5*g(f) - 7*o(f).\nAnswer: -97*f**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1.69208 - 1.402. Let a = c - 0.29. What is a rounded to 5 dps?\nAnswer: 0.00008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -4348\/5 + 870. Let i = 0 - 0.2. Let m = i - -0.14. Is l > m?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 49*b**3 - 14 + 14 - 4*b**2 + 69*b**3.\nAnswer: 118*b**3 - 4*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in 12, -7\/8, -4, -86?\nAnswer: -7\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 131391904?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = -n**3 + 30*n**2 + 4*n - 60. Let t be h(31). Is -897 bigger than t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24*t + 6250 - 154 = 0. List the prime factors of t.\nAnswer: 2, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -2953, -2958, -2967, -2980?\n\"Answer: -2*g**2 + g - 2952","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + (sqrt(91) - ((sqrt(91) - (sqrt(91) - (sqrt(91) - -1*sqrt(91)))) + sqrt(91)))\/sqrt(7).\nAnswer: -2*sqrt(13) - 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 + 1 + 4 + -8 + 1.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s + 2 = 5*t - 8, 2*s - 4 = 4*t. What is the remainder when 928 is divided by s?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*c - 528401 + 528617 = 0 for c.\nAnswer: 54","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 139 - 136. Find the third derivative of 28*y**3 + 10*y**m - 48*y**2 - 13*y**3 wrt y.\nAnswer: 150","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 586*((-3)\/24)\/(23\/(-828))?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = -30*a**2 + 30*a - 3. Let h be q(-3). Let z = 12 - h. List the prime factors of z.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {f: 3, h: 3, w: 1}. Give prob of picking 1 w and 3 f.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -23 + 21.3. Let n = 2 + k. Let x be (-1)\/(-1) + 26\/(-20). What is the second biggest value in x, -4, n?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -9814 + 4505. Let u = -5286.9952 - s. Let i = u - 22. What is i rounded to 3 dps?\nAnswer: 0.005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 1 + 0)*(476*x**5 + 4628 - 4628) + (0 + 0 + 2*x**3)*(-x + x + 2*x**2).\nAnswer: 480*x**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 47*c**3 + 1766*c**2 + c + 27509 wrt c.\nAnswer: 282*c + 3532","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 26195 and 465?\nAnswer: 155","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 at least as big as 31360786?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 20 - -40. Is j a multiple of 20?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15907280761 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = -1 + 9*x**2 - 14*x**2 + 5*x + 11*x**2 - 4*x. Let z be (-32)\/12 + 1\/(-3). List the prime factors of t(z).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2901?\nAnswer: 3, 967","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or 3?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = 5*g**2 - 5*g - 8. Let t(q) = 14*q**2 - 15*q - 24. Let u(b) = 11*m(b) - 4*t(b). Let s be u(6). Solve -5 + 3 = -s*c for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-5)\/45)\/((-10)\/12)?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:41 PM and 3:09 AM?\nAnswer: 388","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -26 + 22 - (-1 + -7)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Add -0.1 and -1767024931574.\nAnswer: -1767024931574.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = 2*i**3 - 35*i**2 + 16*i + 17. Let p be u(17). Suppose -a - 38 + 110 = p. Calculate the greatest common factor of 396 and a.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 5*(2 - -11 - (3 - 1)). Let f = i + -70. Calculate the common denominator of 99\/14 and (10\/f - (-526)\/240) + -2.\nAnswer: 280","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 15 - 11. Let g(r) = -2*r + 20. Let c be g(7). Let i(q) = q**2 - 3*q - 13. Let p be i(c). Which is smaller: p or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = -38*q - 2132. Let b be r(-56). Put 0.07, 5, 2\/9, 3, b in descending order.\nAnswer: 5, 3, 2\/9, 0.07, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 55714?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1.3 - 1.3. Which is the closest to r? (a) -1 (b) 3 (c) -2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -40 or 5\/2?\nAnswer: -40","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1109765, 1109780, 1109803, 1109834, 1109873, 1109920?\nAnswer: 1109975","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.101 + -0.09. Let w = -3.011 + r. Which is the smallest value? (a) -1\/5 (b) 2\/13 (c) w (d) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 191*q + 10307 - 5150 for q.\nAnswer: -27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 2\/9, 4\/133 in increasing order.\nAnswer: 4\/133, 2\/9, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h + 0*h = -d - 104, -3*d - 60 = -2*h. Let b = 141 - 139. Suppose -6 = -2*w - b*l, w - 5*l = -9*l. Solve w*x + 4*u = h, 0 = x - 3*u + 7 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 13 - 13.625. Let f = -7 - -6.48. Let x = h - f. What is x rounded to 2 decimal places?\nAnswer: -0.11","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: (4\/22)\/((-8)\/(-264)*21)\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = 152*w + 1411. Let u be p(-9). Let i(x) = 12*x**2 + 4*x + 2. Let o be i(-2). Which is greater: u or o?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 2 - 1. Suppose 3*d + 2 = d. Let b = q + d. Are b and -1\/4 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -11.80998798 rounded to 3 decimal places?\nAnswer: -11.81","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 546?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 3*(-5)\/30*-56. Suppose -b*r + 60 = -23*r. Let g be (-1)\/(-2)*(20 + r). Solve 0 = -3*j + 4 - g for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) be the second derivative of -4*d + 0 + 65\/2*d**3 + 0*d**2. Let m be w(6). What is m rounded to the nearest 100?\nAnswer: 1200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12 = -7*q + 37 for q.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Does 63 divide 3455402?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -6 (b) 0.41 (c) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1 + 3. Suppose -2*m - 8 = -4*k, 2*m + 0*m - 10 = -t*k. Suppose k*z = 2*u + 77, 2*z + z + 5*u - 70 = 0. What are the prime factors of z?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -3977, -4683, -6601, -10337, -16497, -25687?\nAnswer: -38513","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:38 AM and 2:46 AM?\nAnswer: 128","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -6.4 from 8532.97.\nAnswer: 8539.37","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 19*f - 12*f + 34*f**4 - f - 39*f wrt f?\nAnswer: 408*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = -7*h + 3. Let c(u) = 160*u - 70. Let q be 418\/6 + ((-5)\/3 - -2). Let z(a) = q*d(a) + 3*c(a). Let s(o) = o**2. Give s(z(r)).\nAnswer: 100*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-2)\/1*(-3)\/(-6). Let d(p) = p**3 + 4*p**2 + p + 3. Let n be d(-4). Let b be (n - w\/(-1)) + -41. What is b rounded to the nearest 10?\nAnswer: -40","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-13468)\/(-24) - 8\/48 - 1.\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -145*y**4 + 8*y**2 + 1970*y.\nAnswer: -1740*y**2 + 16","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1 + 0 + 2)*(1633*k**3 + 1648*k**3 - 4*k**2 - 3268*k**3) to h*k**2 + t + r*k + v*k**3 and give v.\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -140*u + 332*u + 17930 = 1985*u for u.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 4591*b**3 - 2*b**2 + 107*b + 5 wrt b?\nAnswer: 27546","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = -8*o - 41. Let u be j(-42). Suppose -4*r + 234 = 4*d - 2*r, 0 = -2*d - 5*r + 113. What is the highest common factor of d and u?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -405, 0, -4 in descending order.\nAnswer: 0, -4, -405","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -61 - -147. Let z = -87 + n. Which is the nearest to z? (a) 4 (b) 2\/11 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -7*b - 2*u + 18, -3*u + 97 - 120 = -2*b for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 4, a: 5, q: 1}. Give prob of sequence qa.\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-14)\/(-36)*447\/(-1043).\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = -111*s - 149. Let a be n(0). Is -149 < a?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) be the third derivative of 11*a**6\/120 - a**5\/60 - 7*a**3 - 3*a**2 + 5. Differentiate r(d) with respect to d.\nAnswer: 33*d**2 - 2*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7769.908 kilometers to millimeters.\nAnswer: 7769908000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q = 6, 4*r - 2*q - 1113 = q. List the prime factors of r.\nAnswer: 2, 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 3 - 132041?\nAnswer: -132034","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = z + 4*a + 9, a = -a - 6. Solve 5*q = -7 - z for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 16936 and 532904.\nAnswer: 232","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = -734*r + 12079. Give x(18).\nAnswer: -1133","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 m, 1 l, and 1 i when four letters picked without replacement from lmrimhm.\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 288 and 32979.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 870023 to the nearest integer?\nAnswer: 933","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 50209212?\nAnswer: 2, 3, 31, 71, 1901","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -3895 - -8761. What is the units digit of p?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = 2364*x + 85174. Calculate k(-36).\nAnswer: 70","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 2, n: 1, e: 2, r: 7, g: 3, k: 5}. Give prob of sequence ec.\nAnswer: 1\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 665 minutes before 10:51 AM?\nAnswer: 11:46 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vvb when three letters picked without replacement from {b: 2, v: 4, u: 1}?\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 347*a**2 - 2*a*w + 398*w + 1 wrt a.\nAnswer: 694*a - 2*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sum 5 and 21405078924063.\nAnswer: 21405078924068","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -120*-84\nAnswer: 10080","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j - 56 = -v - 2*v, 5*j - v - 51 = 0. Suppose 0 = -17*t - 4012 - 816. Let q = t + 294. Calculate the lowest common multiple of q and j.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 72*v - w + 3 = 69*v, -w + 3 = -4*v. Let f(p) be the second derivative of 0*p**4 + 1\/10*p**5 + 23*p + v + 2\/3*p**3 + 3\/2*p**2. What is f(-2)?\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 385, 376, 359, 334, 301, 260?\nAnswer: 211","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n + 6 = 86. Let h = 44 - -79. Let a = h - n. Calculate the remainder when a is divided by 11.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (77\/21 - -2)*3. Sort -2\/65, 2\/3, v in decreasing order.\nAnswer: v, 2\/3, -2\/65","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-3)\/(-6) - 18\/(-4). Suppose -k + 4*u - 3 = 0, 2*k + 0*k - 20 = -w*u. Suppose k*f - 367 = -72. Does 16 divide f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1 + 0 - 1)*(-378*v - 5122 + 180*v + 197*v) in the form t*v + m and give m.\nAnswer: 10244","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 55 a factor of 74690?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 25 and 6700.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 69908.64ug to tonnes.\nAnswer: 0.00000006990864","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 12 and 118.\nAnswer: 708","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 53 - 40. Suppose y + 4*d - c = 31, 3*d - 168 = -3*y. List the prime factors of y.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -5747629 + 5742998.751. Let k = n + 4633. What is k rounded to one dp?\nAnswer: 2.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2796442.\nAnswer: 2, 11, 79, 1609","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 1444489 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2)\/(-3) - ((-183)\/36 + 6)?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2742?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 167012414 or 167012411?\nAnswer: 167012414","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 187 is divided by 27?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 122 + 101110221120202?\nAnswer: 101110221121101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1361?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express (-8*r - 24 + 24)*(-4 + 4 - r**2 + (-2 + 2 - r**2)*(2 + 0 - 1)) in the form k*r**2 + x*r + o*r**3 + b and give o.\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((-1*sqrt(132) + sqrt(132))\/sqrt(11))\/(sqrt(32)\/(-1*sqrt(8) - sqrt(8))) - (sqrt(48)\/sqrt(4)*-5)\/(sqrt(44)\/(sqrt(22)\/sqrt(2))))**2.\nAnswer: 75","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = -792*c**3 + 48*c**2 + 820*c - 2. Let g(f) = 792*f**3 - 60*f**2 - 819*f + 2. Let j(o) = 4*g(o) + 5*z(o). Find the second derivative of j(b) wrt b.\nAnswer: -4752*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 30 + -33. Which is the closest to 0.1? (a) t (b) 1\/3 (c) -2\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 11002 + 12?\nAnswer: 11020","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mfj when three letters picked without replacement from mjmmmmfjmmjjfmj.\nAnswer: 8\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Do 297237\/14 and -1\/19 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = 3*k - 13. Suppose 2*y + 2*x = k*y - 14, 4*y - 2*x = 22. Suppose 3*f - 65 = -2*l, y*f + 24 = 5*l + 126. What is the units digit of f?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (7\/(21\/(-6)))\/(-2). Put l, 4, -2, -3 in decreasing order.\nAnswer: 4, l, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -23676*s + 598 = -23653*s for s.\nAnswer: 26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 6029 < 6029?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18*w = -2199 + 2055 for w.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -78, -77, -74, -69, -62?\n\"Answer: y**2 - 2*y - 77","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -15634139500 rounded to the nearest 1000000?\nAnswer: -15634000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d**(-1))**(2\/25)*(d\/(((d*d**(2\/3)*d*d)\/d)\/d))**(2\/141))\/((d\/(((d**(-2\/19)\/d)\/d*d)\/d))\/(d**(2\/5)\/d)*d**(-2\/5)*d**(-4\/7)) assuming d is positive.\nAnswer: d**(-3970888\/1406475)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s - 19 = -3*u, 0 = 4*u - 5*u + 2*s - 12. List the prime factors of ((-513)\/(-6))\/(u\/(-4)).\nAnswer: 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence tck when three letters picked without replacement from kictkcekeccee?\nAnswer: 1\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f + 95 = 4*t, -5*f - 10 = -3*f. Calculate the remainder when 19 is divided by (t\/8)\/(42\/112).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 divided by -37862948?\nAnswer: 1\/9465737","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 12 - -531360?\nAnswer: 531402","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00033335 rounded to six dps?\nAnswer: -0.000333","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (12\/9)\/((-4)\/(-6)). Let c = -46 + 51. List the prime factors of 36\/10*c\/t.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*(sqrt(5) + 2 + 4))**2.\nAnswer: 12*sqrt(5) + 41","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 260*h - 3084 = -8804 for h.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z = -5*x + 6 - 5, z + 4 = 2*x. Let p be ((-14)\/z)\/((-2)\/(-222)). Let k = -132 + p. Is k a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*i**3 + 18*i**2 - 577 + 2*i - 576 - 2*i**4 + 1153 - 6*i**2 as m*i + z*i**3 + d*i**2 + x + p*i**4 and give m.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -16 + 101. Let u = 153 - t. Let b(i) = 3*i**2 - 9*i + 19. Calculate the remainder when u is divided by b(3).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = k. Let g(m) = 728*m + 40679. What is g(n(u))?\nAnswer: 728*u + 40679","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = -d + 8. What is f(-7)?\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 313314?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -24, 0.3 in decreasing order.\nAnswer: 5, 0.3, -24","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 359645 (base 10) in base 14?\nAnswer: 950cd","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 - 50 = 5*j. Let g(n) = n + 9. Give g(j).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 68 and -27.\nAnswer: -1836","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is -3126 greater than or equal to -2994?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) be the second derivative of 10*f**3\/3 - 135*f**2\/2 - 2*f + 10. Let r be m(7). Solve 20 = t + 5*k - 3, -r*t + 27 = 3*k for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 2482862 and 10.\nAnswer: 12414310","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 382*f - 5*x = 377*f - 30, -4*f - 4*x = -48 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/210 in -4\/5, -9, 2\/5, -0.2, -5?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 75889 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7 - 22 - 24)*(3 + v - 3).\nAnswer: -53*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 1 from -2367.0377.\nAnswer: -2368.0377","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -2\/7 (b) 45 (c) 1.6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -10449\/16 - -656. What is the common denominator of m and 95\/8 - 3*6\/(-72)?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(-2\/9))**(-39)\/((k**(-2\/11)*k*k)\/(k*k**7\/k*k)) assuming k is positive.\nAnswer: k**(490\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is (-84646)\/(-10) - 34\/(-85) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = 7*j**3 - 2*j**2 - j + 2. Let g be p(1). Suppose g*l = 16*l - 640. What is the units digit of l?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.1 times 447236\nAnswer: -44723.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 75\/6 + (-1)\/2. Suppose 3*g = -p, 2*u - 4*g = -u + 28. Let t = -5\/11 - -43\/22. Which is the second smallest value? (a) -2\/9 (b) u (c) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 764 a factor of 335928052?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 401 - 667 + 266 + 3960*p.\nAnswer: 3960*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = 5*v**2 - 6*v + 4. Let g be p(4). Let d(r) = r**3 + 5*r**2 + 2*r. Let n be d(-3). Calculate the greatest common divisor of n and g.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = -5*b. Let k(c) = -52671*c + 105923*c - 51937*c. Give k(t(u)).\nAnswer: -6575*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 64*f**3 + 62*f**3 + 0 - 3*f**2 + 4 - 132*f**3.\nAnswer: -6*f**3 - 3*f**2 + 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-3)\/(-6))\/(1\/(-6)). Let i = -7102 - -7106. Put -54, i, k in ascending order.\nAnswer: -54, k, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 14828 and 572?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(1\/2)\/(g*g**(-9)))\/(g**24\/g**(-7\/10)) assuming g is positive.\nAnswer: g**(-81\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = -8*s + 2. Let g be b(2). Let z = 74 - g. Does 11 divide z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.14 * -0.05.\nAnswer: -0.007","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 10659 and 72352?\nAnswer: 2387616","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-2)\/(-2 - (-528)\/261). Let c = -608\/7 - n. Suppose 0 = s - 0*m + 5*m - 5, 0 = -5*m. Sort c, s, -4.\nAnswer: -4, c, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t = -3*t + 4. Suppose -t = -2*u - 0. Suppose u = 2*m - 3*b - 13, -2*b = 0. What is the units digit of m?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1875 to the power of 1\/2, to the nearest integer?\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = -k**3 + 8*k**2 - 2*k - 10. Let j be s(7). Let r = 43 - 33. What is the greatest common divisor of j and r?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -4 + 6. Let a be (-112)\/40 - 3*-1. Suppose 1\/5*h**3 - a*h + 0 - 1\/5*h**4 + 1\/5*h**x = 0. Calculate h.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 29\/16 and -65\/232.\nAnswer: 464","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -12*n + 47615*n**2 + 47607*n**2 - 95257*n**2 to t*n**2 + y*n + u and give y.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 58*((-1)\/(3\/84) - -27).\nAnswer: -58","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*b + b - 3*b + 5 - 7*b - 4 + 10*b + 2*b - 1 + 1 + (3*b - 5*b + b)*(2 + 1 - 2) - 2*b + 2*b + 2*b + 0 + 0 - 2*b - b + 6*b - 3*b + 6 - 6 - 10*b.\nAnswer: -6*b + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r - 2*r + 27 = 0. Let v be 40\/220 + 4\/(-22). Suppose -5*a + r*a = v. Solve 2*g - g + 5 = a for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 385 is divided by 162.\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 5819*n**6 + 21*n**4 + 762*n**2 + 328*n wrt n.\nAnswer: 698280*n**3 + 504*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -330 + 1981\/6. Let d(g) be the first derivative of 0*g**3 + 1\/5*g**5 + 0*g**2 + 5\/18*g**6 + 7 - j*g**4 + 0*g. Factor d(b).\nAnswer: b**3*(b + 1)*(5*b - 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 615 is divided by 3.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*k - 85 - 115. Let c be (-10)\/3*(-8)\/k. Let f = -1361\/5 + 273. What is the biggest value in f, c, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 55 + -38. Is 8 a factor of k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = -p**2 + 66*p - 121. Calculate the remainder when 2719 is divided by n(63).\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4958760311 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-15)\/6*(-12)\/10. Suppose 4*h = -3*n + 172 - 17, l*h - 4*n - 135 = 0. List the prime factors of h.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = 2*o**2 - o + 2. Let i = 6 + -6. Let n = i + -2. Let x be j(n). Calculate the highest common factor of x and 3.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3*p + 3*p + 2*p)*(3 - 3 + 2)*(1 - 1 + 1)*(-6 + 4 + 4) in the form j*p + f and give j.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 25037?\nAnswer: 25037","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o + 3*b = 5 + 9, -30 = -5*o - 5*b. Solve -3*j + j = -o for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 7904 and 4108?\nAnswer: 624416","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-t - t - 13*t)*(-t**2 - 2*t**2 + t**2) to the form u*t**2 + x*t + z*t**3 + m and give z.\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = z**3 + z - 1. Let y(b) = -10*b**3 - 7*b + 6. Suppose -1 + 3 = 2*w + 4*u, -4*u = 3*w - 1. What is w*y(r) - 6*i(r)?\nAnswer: 4*r**3 + r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (18\/3)\/3 - 12. Let r = 11 + m. Let s(o) = -1 + 0 - 3*o**2 + r. Let j(l) = 3*l. What is j(s(z))?\nAnswer: -9*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4 + -1 + ((-4)\/1 - -4).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = 4*y + 0*y + 3*y**2 + 0 + 1. Suppose 11 = 4*c - 5. Is g(c) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 774405.2 minutes to seconds.\nAnswer: 46464312","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 123 minutes before 8:00 PM?\nAnswer: 5:57 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t = -3*c + 15, 5*c + 1 + 9 = -2*t. Let f be 1 + 1 - c\/(-13). Let m = 0 - 0. Solve a = g + 4*g + 2, f*a - 4*g + 2 = m for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 3 + 2. Let i(n) = n**3 - 5*n**2 + n + 6. Suppose 2*a - w = 24, 2*a = -2*a + 4*w + 52. Calculate the lowest common multiple of i(q) and a.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 18, 5, -20, -63, -130, -227?\n\"Answer: -j**3 - 6*j + 25","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*u**3 + 2*u**3 + 4*u**3)*(-29*u + 563 - 563).\nAnswer: -29*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 26*b - 408 = 18*b. Find the second derivative of -191*j**3 + 65*j + 10257*j**2 - 40*j**3 + b*j**3 + 1 - 10257*j**2 wrt j.\nAnswer: -1080*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = 32*w - 701. Determine r(22).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*4*-2*(3*sqrt(833)*-2 + 0)*-2)**2.\nAnswer: 122830848","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -42 - 1?\nAnswer: -43","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 5\/69 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -12, -36, -76, -132, -204, -292, -396?\n\"Answer: -8*r**2 - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = 51*z**2 + 786*z + 2892. What is l(-6)?\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = 2*a - 11. What is the units digit of w(10)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = k**3 - 6*k**2 + 9*k - 5. Let d be b(5). Solve 4*p + 4*a = -20, 6*p - d = 2*p + 3*a for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 8290194 and 1507308?\nAnswer: 16580388","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.6724144kg in grams?\nAnswer: 672.4144","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 513, 1046, 1603, 2196, 2837?\nAnswer: 3538","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 144 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 121703700?\nAnswer: 2, 3, 5, 405679","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -26*i**4 + 9*i**3 + 5686?\nAnswer: -104*i**3 + 27*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 221 - 236. Let p(w) = -w**3 - 10*w**2 - 2*w - 52. Is p(u) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -52 + 27. Let c be 2\/(-5) + (-2485)\/a. Calculate the highest common divisor of c and 9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 301 and 233576.\nAnswer: 301","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 21 - 21.015. Let q = 0.0091 + h. What is q rounded to three decimal places?\nAnswer: -0.006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -13 - (-6 - 12 - -8).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*t**2 + 4*t**2 + 2*t**2 + (t**2 + 0*t + 0*t)*(0 - 4 + 6) + (16*t - 12*t + 26*t)*(35*t + 2*t + 6*t).\nAnswer: 1298*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from cclzmccczcal. Give prob of picking 2 l, 1 c, and 1 a.\nAnswer: 2\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3\/49, 2, 1\/5.\nAnswer: -3\/49, 1\/5, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 421632 is divided by 17561.\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -268*d + 128 = 3*k - 263*d, 0 = -4*k + 3*d + 190. Solve -k*i = -49*i + 24 for i.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = -12*v**2 - 2 + v**2 + 18*v**2. Let r = 3283 - 3281. Let y(f) = f**2 - f + 1. Calculate r*y(o) + k(o).\nAnswer: 9*o**2 - 2*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/4 in -4\/3, 3\/7, 0.5?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 z when two letters picked without replacement from pazyzypupvya?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = -16*o - 28. Let z(l) = 95*l + 39. Let a be z(-1). Let g(u) = -u - 2. Let y(i) = a*g(i) + 4*s(i). Let m(p) = -p. Determine 12*m(d) - y(d).\nAnswer: -4*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.2 and 905?\nAnswer: -181","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 29791*y**2 - 321*y - 35934965 with respect to y.\nAnswer: 59582*y - 321","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/7? (a) -0.4246 (b) 2\/13 (c) 2\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -46 - 82?\nAnswer: -138","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -3\/78910 or -8?\nAnswer: -3\/78910","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 811774?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) be the second derivative of -1\/10*b**5 + 2*b**2 - 6*b - 1\/3*b**4 + 0 + 1\/3*b**3. Find y, given that u(y) = 0.\nAnswer: -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor r**2\/2 + r\/2 - 1.\nAnswer: (r - 1)*(r + 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kku when three letters picked without replacement from {u: 12, k: 6}.\nAnswer: 5\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*v**2 - 3*v**2 - 2*v**2 - 1 - v**2.\nAnswer: -2*v**2 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 1200581 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -1000000111100010 (base 2) to base 5\nAnswer: -2031000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 36637\/35402 - 3\/1142. Let n = j + 523\/124. What is the common denominator of -121\/12 and n?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 254719 to the power of 1\/3, to the nearest integer?\nAnswer: 63","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 11696131?\nAnswer: 11696131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*u + 9 = 5*g - 26, -5 = u for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-58)\/(-12) - 2\/(-12). Suppose n*q - q = 56. What are the prime factors of q?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/5, -5, 13, -0.15, 58 in increasing order.\nAnswer: -5, -0.15, 1\/5, 13, 58","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 32, 83, 160, 275, 440, 667, 968?\n\"Answer: 2*u**3 + u**2 + 34*u - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let 368*n - 84*n**2 - 977*n + 3*n**3 - 6*n**3 - 528 = 0. Calculate n.\nAnswer: -16, -11, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 222695+-22.6\nAnswer: 222672.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*j - 7*j + 2*c - 7*c = -30, -26*j - c + 58 = -38*j for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*x**2 + 0*x**2 + 3*x**2 + (-14 + 14 - 4*x)*(-36*x - 9*x + x).\nAnswer: 175*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 d, 1 l, and 1 j when three letters picked without replacement from {l: 2, c: 2, q: 1, d: 4, p: 7, j: 4}?\nAnswer: 8\/285","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 10589990221 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 z when three letters picked without replacement from {o: 2, z: 7, x: 1}.\nAnswer: 7\/24","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 27309.\nAnswer: 3, 9103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -6356, -11484, -16612, -21740?\n\"Answer: -5128*g - 1228","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 356475 and 275.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -15 divided by 13\nAnswer: -15\/13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) be the first derivative of -g**3\/18 - g**2\/6 + 5*g\/2 - 75. Let p(q) = 0. What is q?\nAnswer: -5, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -15 in 58\/115, 3\/5, -2.6?\nAnswer: -2.6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.00354 and 0.06.\nAnswer: 0.0002124","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor 13*z**2 - 3616*z + 556.\nAnswer: (z - 278)*(13*z - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -14 + 10. Let q be 7\/(-7)*-6*(-3)\/(-9). Put q, 73, n in decreasing order.\nAnswer: 73, q, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 204 and 72692.\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence aas when three letters picked without replacement from aaaassaaaaaaaaaaaasa.\nAnswer: 34\/285","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 50985\/31 or -489?\nAnswer: -489","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Product of 179.89 and -0.18.\nAnswer: -32.3802","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -71\/5*h - 1\/5*h**2 + 0 = 0.\nAnswer: -71, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -113785a - 5?\nAnswer: -1137864","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:19 PM and 8:33 PM?\nAnswer: 14","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express (-11*z**2 - 13*z**2 - 11*z**2)*(12*z + 12*z - 6 + 4) in the form m*z**3 + u*z**2 + a*z + c and give u.\nAnswer: 70","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 3 (base 10) to base 2\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -1\/2 (b) -6 (c) -2 (d) 5\/4 (e) 3.7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 915? (a) 9\/10 (b) 5 (c) 2\/25\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 9062540?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*i**2 + 474*i + 182516.\nAnswer: -2*(i - 443)*(i + 206)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 485 divided by 5\nAnswer: 97","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 1, q: 3, g: 1}. What is prob of picking 1 r and 1 q?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:43 AM and 8:17 AM?\nAnswer: 454","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 184?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) be the second derivative of -s**5\/4 + s**4\/4 - s**3 - 2*s**2 + 4*s + 1181. Let i(y) = -6*y**3 + 3*y**2 - 7*y - 5. Give 5*b(k) - 4*i(k).\nAnswer: -k**3 + 3*k**2 - 2*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) be the first derivative of 15*f**5 - 15*f**4\/4 - 16*f**3 - 6*f**2 + 39. Let s(b) = 0. Calculate b.\nAnswer: -2\/5, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from sbddbbsdpdwwsbwsddmb. What is prob of picking 2 w and 1 m?\nAnswer: 1\/380","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or 1\/18550805?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -3 - 148?\nAnswer: -14b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor -10*x**2\/19 + 1474*x\/19.\nAnswer: -2*x*(5*x - 737)\/19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0 + 2. Suppose 0 = -b*q + 3*r - 13, -2*q - 10 = 3*q - 3*r. Let u be (2\/(-4) + q)*8. Solve 0 = -4*v + t - 16, 0 = -4*v - 2*t - u - 0 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -39, 138, 495, 1026, 1725?\n\"Answer: -c**3 + 96*c**2 - 104*c - 30","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1 times -0.0794?\nAnswer: -0.00794","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 13 - 9. Suppose -5*x + g*p = -200, -59 = -x - 0*p - 3*p. Is x a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) be the second derivative of -5*g**7\/42 - 17*g**6\/30 + 206*g**3 + g - 29. What is the second derivative of b(n) wrt n?\nAnswer: -100*n**3 - 204*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 0 + 4*(-1 + 8). Suppose r = 3*x + x. What is the units digit of x?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 2457482?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 50976, 50971, 50966, 50961, 50956?\n\"Answer: -5*n + 50981","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 983 + -4911\/5. What is the nearest to 3 in 0, 0.5, p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 77 a factor of 486?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express 7 - g - 5*g**2 - 13*g**2 - 11 + 2*g**3 - 25*g**4 + 30*g**4 as y + c*g + f*g**4 + m*g**2 + d*g**3 and give c.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 31 (base 5) to base 16\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = q**3 + 8*q**2 + 8*q + 11. Let s be b(-7). Suppose s*j - 35 = -w, 3*w - 31 = 2*w - 2*j. Calculate the remainder when w is divided by 7.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 6452?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 25 - 15 - 24 - (0 + 0).\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 350784 a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = -5*y + 51. Let c(w) = 5*w - 52. Let k(o) = -3*c(o) - 2*s(o). Does 4 divide k(10)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4403*b + 8809*b - 9*b**2 - 4406*b.\nAnswer: -9*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2143 divided by 2143.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert -10101 (base 4) to base 3.\nAnswer: -101010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f - 5*b = -3, -4*f - 4 = -239*b + 234*b. What is the nearest to f in 0.1, -12, -2, 0.3?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 41 - 41.00104. What is y rounded to 4 dps?\nAnswer: -0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 1270225892889 from -0.1.\nAnswer: -1270225892889.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0.091294 or -0.04755?\nAnswer: 0.091294","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = -209*b + 10. Suppose 0 = -0*a - 8*a - 24. Let g be (((-3)\/(-2) - -1) + a)*2. What is the tens digit of y(g)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) be the second derivative of 77\/12*z**4 - 61*z + 1\/2*z**2 - 17\/3*z**3 + 0. What is the second derivative of y(i) wrt i?\nAnswer: 154","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 251080?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((3 + 4 - 5)*(-1 + 1 + 4) - 1 + 4 - 1)*(2*c + c - c) to the form f*c + t and give f.\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -2599 divided by -1335?\nAnswer: 2599\/1335","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 149226 divided by -8778?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:33 PM and 5:26 AM?\nAnswer: 353","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2598 - 56553*n**2 + 3846*n**2 + 2598.\nAnswer: -52707*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 76 + 2. Let f be j\/12 - 3\/(-2). Solve -f = w + 3*w for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-1)\/(-2)*(34 + 0). Suppose -306 = 3*a - 5*a. Suppose m + a = 2*m. Calculate the greatest common factor of m and o.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1\/(24\/1088*34)\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (128\/21 - 102\/1071)*(-2)\/(-20)?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 28790, 57562, 86334, 115106, 143878?\nAnswer: 172650","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = 7*w + 5. Let o(a) = -36*a - 24. Let u(n) = -24*b(n) - 5*o(n). Let k(c) = -4*c. Calculate u(k(i)).\nAnswer: -48*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:25 PM and 1:52 AM?\nAnswer: 627","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 560\/175 - (-1)\/(-5). Solve a*j - j + 3 = -b, 2*j - 4*b - 2 = 0 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from hyyffyyyh. Give prob of sequence ffh.\nAnswer: 1\/126","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(17) + sqrt(17)*-2 + 0 + ((sqrt(17) - (sqrt(2448) - sqrt(2448)*-4)) + sqrt(17))**2.\nAnswer: -sqrt(17) + 57188","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = -p**2 - 11*p - 4. Let y(b) be the first derivative of -8*b - 2\/3*b**3 - 8 - 23\/2*b**2. Let w(n) = -7*c(n) + 3*y(n). What is w(-5)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-12)\/42*-7*(-4)\/(-3)?\nAnswer: 8\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 41598 divided by 6.\nAnswer: 6933","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express (810*z + 3285*z + 2463*z)*(5 - 2*z - 5)*(-2*z**2 - 1 + 1) in the form u*z**2 + p*z**3 + s + v*z + t*z**4 and give p.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -55859.90978 minus -0.03?\nAnswer: -55859.87978","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_test"},"subset":"dm_maths"} +{"text":"Question: -0.82 * -214826\nAnswer: 176157.32","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -1265600520 divided by -253120104\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 371.3218 millilitres in litres?\nAnswer: 0.3713218","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = 4 - 4*u**2 + u**3 + u**2 - 2*u - 2*u**3. Calculate the smallest common multiple of 16 and y(-3).\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 278.915284 or 2?\nAnswer: 278.915284","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 124494 is divided by 279?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -71\/7641 and 85\/5943?\nAnswer: 53487","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d = 5*a - 44, a - 4*a - 3*d = -24. Suppose -a*t + 105 = 5. Solve -t = 5*u - 35 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (51 - 127 + 131 + 51)*(4 - 3 + 3)*(2*z - 6 + 6).\nAnswer: 848*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 335704 and 233334?\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = 3*s**2 - 2*s. Let p(x) = -4*x. What is p(g(r))?\nAnswer: -12*r**2 + 8*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2*(sqrt(98) + -1*sqrt(98))*-3 - ((sqrt(2) - sqrt(2)*1*-6)**2 + 2 + sqrt(4)\/sqrt(2) + sqrt(2) + 0)) + -1)*-6.\nAnswer: 12*sqrt(2) + 606","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -3, 55, -40, -19, -1 in decreasing order.\nAnswer: 55, -1, -2, -3, -19, -40","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -41041799 divided by -31?\nAnswer: 1323929","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -12142 (base 9) to base 14\nAnswer: -2d74","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 142, 162, 182, 202?\n\"Answer: 20*d + 122","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 3588.731 millilitres in litres?\nAnswer: 3.588731","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(-13)*i\/i**(-6\/5))**(-2\/23)*(i**(-2\/7)*i)**34\/(i**(-1\/3))**(-2\/23) assuming i is positive.\nAnswer: i**(60848\/2415)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (16\/(-20))\/((741\/(-65))\/((-3)\/(-2))). Factor 4\/19*z + w*z**4 - 4\/19*z**3 + 0*z**2 - 2\/19.\nAnswer: 2*(z - 1)**3*(z + 1)\/19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = 3*v**2 - 4*v**2 - 2 + 26 + 2*v**2. Let q(p) = p**3 - 2*p**2 - 3*p. Let s be q(3). What is the tens digit of g(s)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 120 is divided by 44.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: (1\/2)\/((-10)\/3*(-315)\/(-140))\nAnswer: -1\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12612*a**2 + 8175*a**2 + 9007*a**2 - 11267*a**2 + 43978*a**2.\nAnswer: 62505*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.233123296 rounded to two decimal places?\nAnswer: -0.23","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = c**2 - 10*c + 6. Let a be l(7). List the prime factors of a\/10*12\/(-9).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-59)\/((-3540)\/(-570))*1*2.\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {v: 2, p: 10, o: 6}. What is prob of sequence vppv?\nAnswer: 1\/408","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = y**2 + y. Let u(f) = f**3 - 5*f**2 - 9*f + 5. Let m(v) = v - 1. Let l(q) = -4*m(q) - u(q). Determine -5*g(o) + l(o).\nAnswer: -o**3 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-14)\/(-21)*(7 - 2 - 2). Suppose 0 = b*f - 1397 + 151. Is f a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 707 minutes before 5:21 PM?\nAnswer: 5:34 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2761*g**3 + g**2 - 17*g?\nAnswer: 16566","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 222, 436, 650, 864, 1078, 1292?\n\"Answer: 214*u + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = -5*t**3 - 19*t**2 - 73*t - 20. Let i be p(-7). Calculate the greatest common factor of i and 153.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0.458, -1\/8, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 29137 or 43\/4?\nAnswer: 29137","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-17 - 4)*(0 + 12\/(-14)). Let i be (-58)\/n - 4\/(-18). Let h(f) = -f**2 - 3*f. Give h(i).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -14631782*n - 6089343 wrt n.\nAnswer: -14631782","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1301? (a) 3 (b) -86\/9 (c) -84 (d) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = 10*q + 405. Determine t(-14).\nAnswer: 265","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.6 * -13.88.\nAnswer: -8.328","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -1070 - -3171?\nAnswer: 2101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Are 8157652 and 8157651 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 5372340 a multiple of 391?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*x + 144 = 140 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) be the third derivative of q**7\/840 + q**6\/120 - q**4\/24 + q**3\/2 + 28*q**2. Let v(a) be the first derivative of y(a). Calculate v(-2).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 21707768 to the power of 1\/2, to the nearest integer?\nAnswer: 4659","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2271?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = -3*r**2 + 4. Let a(y) = -1178*y - 7 + 8 + 1181*y - 1. Calculate t(a(d)).\nAnswer: -27*d**2 + 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 3544, 3396, 3248?\nAnswer: 3100","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 2 - 1)*(-x**4 + 4*x**4 - x**4)*(x + 1 - 1).\nAnswer: 4*x**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is (-255 - -273) + -3 + 2 + -6?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) be the third derivative of 45*q**4\/4 - 11*q**3\/6 - 7*q**2 - 8. Is i(9) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0, -4, 1, -1\/26?\nAnswer: -1\/26","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 119\/113984958 and -97\/1438296.\nAnswer: 455939832","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = -n**3 + 47*n**2 + 50*n - 82. Give p(48).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q = -3*h + 16, 4*h - 43 = -5*q - 17. Suppose 0 = -f + y + 2, 3*f - 1 = h*y + 10. Which is bigger: f or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify k**(4\/3)*k*k**(-2)*k**(-1\/8)\/k**(-1\/2) assuming k is positive.\nAnswer: k**(17\/24)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = -n**3 - n + 13. What are the prime factors of c(0)?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = 2*k**2. Let i(f) = 80592*f**2. Give y(i(x)).\nAnswer: 12990140928*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3*(2464\/(-66) + 29)?\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -15785, -15787, -15789?\nAnswer: -15791","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 1 + 0)*(3*u + u - 2*u)*(-1 + 7 + 7).\nAnswer: 52*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*h + 0*h + 0*h)*(-5 - 5 + 2).\nAnswer: 16*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b + 6 = 4*b, 3*r - 6 = -2*b. Suppose r = -2*y + 4*y - 8. Is ((-46)\/y + 0)*-2 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 3.93 - -0.07. Let f = -2 - -2.2. Let h = 1 + -1. Which is the second biggest value? (a) h (b) f (c) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(8\/9)*a)\/a*a**(-25) assuming a is positive.\nAnswer: a**(-217\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -109\/132 and -40\/33.\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*l - 11*l + 34*l - 11*l - 15*l.\nAnswer: 2*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 2 + 1)*(-2 + 2 - 3*l)*(0 - 1 - 2).\nAnswer: 18*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 3091?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(152) + 2*(sqrt(152) + sqrt(152)*-1 + sqrt(152) + sqrt(152)))\/(sqrt(24)\/sqrt(3)*-5).\nAnswer: -sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 4, -6 in increasing order.\nAnswer: -6, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 4 + -1.8. Let h = 2.7 - v. What is the nearest to 0 in 0.3, h, 4?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 64425?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 2531 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c = -116 - 194. Let u(n) = c + 11*n + 12*n - 20*n. What is the smallest common multiple of 20 and u(-16)?\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2174989*h**2 - 6*h - 13533.\nAnswer: 4349978","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of (12 + 0)*(-1)\/(3\/(-26))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 46231 (base 7) to base 12.\nAnswer: 699a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 2\/15 of a week?\nAnswer: 80640","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -57229958910647 - -4.\nAnswer: -57229958910643","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = 40*a**2 - 7*a - 3. Suppose 62*s - 60*s - 10 = 0. Suppose -s*h - 2 = 8. List the prime factors of v(h).\nAnswer: 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -1321, -2227, -3715, -5767, -8365?\n\"Answer: 3*z**3 - 309*z**2 - 1015","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 154?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -547? (a) 1\/9 (b) -0.05 (c) -3.2 (d) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((v\/(v\/((v*v\/(v\/(v**(-7\/2)*v*v*v)))\/v*v)*v*v))\/v)\/v)\/v*v**5)**(-3\/4)*v**0\/(v\/(v*v*v**(1\/2)))*(v**(-1)\/v)**(-20) assuming v is positive.\nAnswer: v**(329\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 18682855207 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = 7*m**2 + 140*m + 1. Let n be r(-20). Let d(l) = 23*l**3 - 2*l**2 + l. What is d(n)?\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 45 and 20835?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) be the second derivative of v**4\/12 + v**3 - 4*v**2 - 3*v. Suppose -2 = -2*o - 4*y, -16*o + 17*o + 15 = 2*y. Give l(o).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 25 - ((27 - -25) + 17).\nAnswer: -44","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 4 - 0 - (1 - -4) - -4. Suppose -5*z = 3*h + 17 - 265, m*h + 4*z = 253. Calculate the remainder when h is divided by (-1)\/(-2 - (-90)\/46).\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -65 - (4 - 1 - 1). Let c be (-2)\/(-4)*0 + j. Let z = -41 - c. Does 8 divide z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 51*i - 5 = -209 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -2*(-152)\/(-112)*217\/62?\nAnswer: -19\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -102*a + 30*a + 998856 = 0. Is a a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11 - 31 = -5*k. Suppose 0*r - 3 = r, 0 = -w + k*r + 10. Which is the nearest to -2? (a) w (b) -1\/3 (c) 10\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5.2 * -643.58\nAnswer: -3346.616","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vqvavgjvjvj. What is prob of sequence jj?\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -118*f**2*q**3 - 17*f**2*q + 2*f**2 + f*q**2 wrt q?\nAnswer: -708*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1706?\nAnswer: 2, 853","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c + 0*c = -j + 26, c = 3*j + 14. What is the remainder when c is divided by 8?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -7*m - 22*m - 87. List the prime factors of (-3080)\/m + 100\/75.\nAnswer: 2, 257","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = -3*q**2 + 886*q - 42955. Determine a(61).\nAnswer: -72","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0 (b) -0.1 (c) -15177527.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-65)\/10)\/((-12)\/8))\/(7501\/12117)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 270 (base 9) to base 14.\nAnswer: 121","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 296*f + 203*f - 23*f = -211*f + 55647 for f.\nAnswer: 81","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -63*b + 41*b + 572. Suppose 0 = b*a + 14*a. Solve 5*y = a, -4*w - y = -0*w + 20 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -149991, -299968, -449947, -599928, -749911, -899896, -1049883?\nAnswer: -1199872","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x + 48 = -7*x - 2*t, 5*x = -4*t - 46. Let w = x - -5. Let d(q) = 80*q + 7. Let r(m) = 37*m + 3. Let v(j) = 6*d(j) - 13*r(j). What is v(w)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(117)*4)\/sqrt(9) + -2*sqrt(637))**2.\nAnswer: 1300","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_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: 1*(-6)\/4*40\/15\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Are 19000 and 19001 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 70656631 is divided by 30.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 240 is divided by 11.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-18)\/(-36))\/((-1 - 0)\/(-8)).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3243130309 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-240)\/56*-7*1. Calculate the greatest common factor of k and 75.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 36 and 4356.\nAnswer: 4356","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -65.02 (b) -5 (c) 2 (d) -0.4 (e) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -971*o + 1439 = -1028*o - 4090 for o.\nAnswer: -97","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*((sqrt(180)*-3)**2*-2 - (sqrt(180) + 2 + (sqrt(180) + 2 - sqrt(180)))).\nAnswer: -6488 - 12*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) be the second derivative of 3781*y**4\/12 + 739*y**2 + 2737*y. Find the first derivative of w(v) wrt v.\nAnswer: 7562*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-963 - -993) + 1 + -54?\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -4 + 2. Which is the closest to z? (a) -4 (b) 3\/8 (c) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-24)\/(-180) + (-326)\/(-30). Suppose 4*q - 177 = 2*o + v, 118 = 2*q + 5*o. Calculate the remainder when 685 is divided by q.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000015128624 to seven dps.\nAnswer: 0.0000015","meta":{"dup_signals":{},"source":"numbers__round_number_test"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 154, 308, 460, 610, 758?\n\"Answer: -z**2 + 157*z - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3)\/(-18)*-3*(-42)\/105*(-154)\/(-11)?\nAnswer: 14\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1307036.7 minutes to hours.\nAnswer: 21783.945","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 39, 45, 81, 165, 315, 549, 885, 1341?\nAnswer: 1935","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 43\/2 of a kilometer?\nAnswer: 21500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 26*p = 21*p + 110. Suppose 13*i - p = 2*i. Suppose 0 = -2*o + 7*o + 3*t - 113, -5*o = -i*t - 133. Which is bigger: 1\/4 or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1282*j - 53 + 53 + 165*j to n*j + k and give n.\nAnswer: 1447","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 4\/(-36) - 1778\/(-126). What is the greatest common divisor of s and 2282?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*sqrt(1539) + -4)**2.\nAnswer: 216*sqrt(19) + 13867","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -58 - -49. Let d be 4\/(-18) - 20\/r. Solve 4*t - d = 14 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6 + (5\/24)\/(26\/728).\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (3 + -2)\/(4\/3). Suppose 19 = k - 2*p - 3*p, -3*k - 4*p = 0. Let d = 5 - k. Is d bigger than x?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:41 PM and 3:31 AM?\nAnswer: 470","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 27092 to the power of 1\/3, to the nearest integer?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express 680*q - 1695*q + 1196*q + 833*q in the form m*q + t and give m.\nAnswer: 1014","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) be the first derivative of 0*w - 5\/4*w**4 - 75 + 0*w**3 + 5\/2*w**2. Factor t(g).\nAnswer: -5*g*(g - 1)*(g + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 314 is divided by (424\/8)\/(-6*(-2)\/12).\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = 2*u**3 + u**2 - 2*u + 3. Let t be i(2). Find the second derivative of -9*a - 5*a**4 - 14*a + t*a wrt a.\nAnswer: -60*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + sqrt(117))**2 + sqrt(13) + (sqrt(13) + 1)*5.\nAnswer: 12*sqrt(13) + 123","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -74 - 25 - -97 - 37.\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -65 - -37. Let s = -133 - -137. Is (-4417)\/c + 1\/s a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = 25*d**2 + 2*d - 4. What is t(1)?\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 733962.\nAnswer: 2, 3, 122327","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = 3*a**2 + 35*a - 83. Let n be f(22). Let d = n + -778. Is d composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = -v**2 + v - 1. Let o = 15 + -7. Suppose o*l - 50 = -10. Let i(a) = -3 - 7 + 5*a + 11 - l. Determine 3*f(d) - i(d).\nAnswer: -3*d**2 - 2*d + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 9050, 19143, 29236?\n\"Answer: 10093*n - 1043","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = -i**2 - 3577*i - 905001. Give a(-274).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:55 AM and 12:15 PM?\nAnswer: 620","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -20474 - -20996. Calculate the least common multiple of 171 and v.\nAnswer: 9918","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -7*m**5\/6 - 31*m**4\/2 - 13*m**3\/3 + 168*m**2 + 48*m = 0. Calculate m.\nAnswer: -12, -4, -2\/7, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 740108542?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 79019412?\nAnswer: 2, 3, 6584951","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*l + 2*l - 18 = -v, 16 = -4*l. Suppose v*j - 17 - 11 = 0. What are the prime factors of j?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = 2*r**3 + 18*r**2 - r. Let m be n(-9). Do m and 4 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -58*85\/(-268192)*17\nAnswer: 5\/16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*i + 3*y = 45, -15 = -3*i + y + 12 for i.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (210\/104)\/(-5) - (21097\/(-292) + 72)?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 126*q = 122*q - 2*t + 2, 0 = 2*t - 2 for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 393 - 257. Which is the second smallest value? (a) r (b) -0.1 (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + (-4 + (1 + sqrt(931) - sqrt(931)) - 4*(sqrt(931) + sqrt(931) + 0)) + -2*-4*((sqrt(931) + -2 - sqrt(931)) + -5))**2.\nAnswer: 6496*sqrt(19) + 62948","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -2346, -2367, -2416, -2505, -2646, -2851, -3132, -3501?\n\"Answer: -2*q**3 - 2*q**2 - q - 2341","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 40952745 a multiple of 51?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -54, 64, 378, 984, 1978?\n\"Answer: 16*w**3 + 2*w**2 - 72","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) be the second derivative of h**4\/3 + 2*h**3\/3 + h**2\/2 + 11*h. Let s = -3 + 0. What are the prime factors of b(s)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 74367*i**5 - 2*i + 1581?\nAnswer: 1487340*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = 185*n**3 - 6*n**2 + 13. Let g(r) = 556*r**3 - 19*r**2 + 37. Let q(m) = 3*g(m) - 8*s(m). What is the third derivative of q(x) wrt x?\nAnswer: 1128","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -24 less than -2.0021516?\nAnswer: 21.9978484","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.312 * 0.4.\nAnswer: -0.1248","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 564 minutes before 3:32 PM?\nAnswer: 6:08 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) be the first derivative of -43*x + 7 + 25 + 3 + 6*x**3. What is the derivative of c(h) wrt h?\nAnswer: 36*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4)\/(-102)*(-42)\/8*262\/917.\nAnswer: -1\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t - 170 = -175. Let p = -0.01 + 0.05. Let j = -0.96 - p. Which is the nearest to 0.1? (a) t (b) j (c) 2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = -c + 1. Let g(x) = -x**2 + 9*x - 1. Let o be g(10). Let q = 12 + o. Let j be (1 - q)\/(1 - 3). Calculate y(j).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 (base 16) in base 15?\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 227565 to the nearest integer?\nAnswer: 61","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-5 - (-18)\/4)*-1750*(-1 - -2). Calculate the greatest common divisor of 1125 and n.\nAnswer: 125","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -22020*q**2 + 11014*q**2 - 229*q**3 + 209*q**3 + 11006*q**2.\nAnswer: -20*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1612485?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -20 + 33. Let g = 13.315 - 0.115. Let o = u - g. Which is greater: 0.01 or o?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*l - 2*l + 96 = 0. Let b(k) = 3*k - 22. Let j be b(l). Solve j*f = f + 3 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*n - n + 3. Let b(a) = -7*a - 7*a + 18*a - 22. What is the lowest common multiple of b(7) and n?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1413.323ml to litres.\nAnswer: 1.413323","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*k + 47*k - 637. Solve a + a = -5*p - k, -p - 7 = -4*a for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-18)\/(-84)*7)\/(9\/(-78))?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 2\/6 + 21056490091\/(-273). Round u to the nearest 1000000.\nAnswer: -77000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = -922 + 1845 + 42*v - 923 - 58*v - 216*v. Let s(w) = 4*w. Let p(c) = 5*c. Let d(a) = 3*p(a) - 4*s(a). Give d(u(f)).\nAnswer: 232*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9982.496 kilograms to grams.\nAnswer: 9982496","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 99\/7804 and 37\/8.\nAnswer: 15608","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of ((-276)\/(-152))\/3 - 1 and 145\/18.\nAnswer: 342","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = -k**3 - 4*k**2 - 13*k + 15. Let l be y(-5). What is the highest common factor of 175 and l?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q**3\/4 - 33*q**2 + 1209*q\/4 = 0. Calculate q.\nAnswer: 0, 13, 31","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -186 divided by -31?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express (1 - 1 + 1)*(117*o - 63*o - 2 - 59*o) as a + w*o and give a.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (3 - (-77 - -1))\/(-1). What is the lowest common multiple of (y - 1)\/(-5) + 4 and 52?\nAnswer: 260","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1718373812?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = -q + 15. Let t be u(0). Suppose 0*w - t = 5*w, -2*k + 16 = -4*w. Suppose 0 = 2*j + k*j. Solve -5*m = 15 - j for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = 9*v**2 - 35*v + 4. Let l(b) = 14*b**2 - 52*b + 6. Give -5*l(i) + 8*p(i).\nAnswer: 2*i**2 - 20*i + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = 2*s**3 + 8*s**2 + 13*s - 8. Let g(o) = 2*o**3 + 7*o**2 + 12*o - 7. Determine 7*g(m) - 6*k(m).\nAnswer: 2*m**3 + m**2 + 6*m - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 689 is divided by 17\/(24\/3 + -11 + 4).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 b, 1 f, and 1 n when three letters picked without replacement from {n: 1, b: 1, f: 5, v: 3}.\nAnswer: 1\/24","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = w + 4*i - 20, 6 = -w + 4*i - 14. Let g = w - -4. What is the second derivative of g*h**3 - 2*h - h**3 + 0*h**3 wrt h?\nAnswer: 18*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -417589\/10 - -41632. Suppose -4*v = -4*u + 484, -3*v + 0*u = 2*u + 368. Let y = v - m. Find the common denominator of -109\/10 and y.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:35 PM and 12:09 AM?\nAnswer: 634","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3955*b**2 - 3923*b**2 + 7841*b**2.\nAnswer: -37*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 2.6 + -2.3. Let y be 3 + 6\/(-11) - 3. Which is the nearest to q? (a) 1 (b) -4\/9 (c) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 7472 by -11.\nAnswer: -7472\/11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 d when three letters picked without replacement from {b: 1, d: 12}.\nAnswer: 10\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = -28*q - 342. Determine k(-12).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -245, -320, -241, -14, 355, 860, 1495?\n\"Answer: -y**3 + 83*y**2 - 317*y - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 458427650 to the nearest integer?\nAnswer: 771","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(288) + -1*(sqrt(288)*-2 - sqrt(288)) - (2 + 2*sqrt(2) + -4*sqrt(2)*1))**2.\nAnswer: -200*sqrt(2) + 5004","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:24 AM and 3:14 PM?\nAnswer: 710","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 704, 2806, 6310, 11216?\n\"Answer: 701*w**2 - w + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -z**5\/2 - 15358*z**4 - 236725425*z**3\/2 - 6573580839*z**2 + 51108641010*z - 44416682100 = 0 for z.\nAnswer: -15330, -63, 1, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.813 in -5, 65, -2\/11?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3)\/((-984)\/(-41008)) - ((-5747)\/287 - -20).\nAnswer: -125","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -46, -180, -414, -754, -1206, -1776, -2470, -3294?\n\"Answer: -d**3 - 44*d**2 + 5*d - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l**4\/3 + 3066*l**3 - 2*l**2\/3 - 3066*l = 0. Calculate l.\nAnswer: -4599, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5831994*l = -5831959*l + 1470 for l.\nAnswer: -42","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -4719 (b) -38331 (c) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -2 (b) 1 (c) 56 (d) -5 (e) 0.16\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 45 and 135?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = 2*c + 1. Let f be h(3). Suppose q + 4*x + 314 = 6*q, 0 = -4*x - 4. Let a = -34 + q. Calculate the highest common divisor of a and f.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = 4*o + 29. Calculate g(-6).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify z**(-7)\/z*(z\/z**(-1\/4)*z)\/z*z**(-2\/21)\/(z*z*z**(-5)) assuming z is positive.\nAnswer: z**(-323\/84)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 11\/7 or 2?\nAnswer: 11\/7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -0.5, -4060, -2?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 i, 1 h, and 1 f when three letters picked without replacement from lsfivihs?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = -a. Let v(n) = 7*n. Let g(j) = 6*m(j) - v(j). Let c(b) = -9*b**2 - b**2 + 8*b**2. Determine c(g(p)).\nAnswer: -338*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = -3*i - 26. Let m(o) = -o - 9. Let b be (-1)\/(-4) + 5 + 356\/(-16). What is b*m(f) + 6*q(f)?\nAnswer: -f - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 114299 less than 114344?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 48 and 13656.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 90*h*m**3*p + 2013*h*m*p - 3009*m**3 - 4*m*p + 28*p wrt m?\nAnswer: 540*h*m*p - 18054*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 224 - 225.2. Which is the second biggest value? (a) 3\/2 (b) 0.4 (c) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 8621011411.2666324 + -8683586411.1666. Let j = -62575012 - c. Let a = j - -12.1. Round a to 5 dps.\nAnswer: -0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 41 - 38. Calculate the smallest common multiple of 7 and p.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -4 - -6. Let z = 8 + -11. Let n(t) = t**2 + 8*t + 8. Let l be n(-7). Which is the nearest to j? (a) l (b) z (c) 2\/15\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-6 - -40 - 8 - 1) + -10 + 2\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in 11, 2, 138?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 3727 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2d7d2 (base 14) to base 16.\nAnswer: 1bd8c","meta":{"dup_signals":{},"source":"numbers__base_conversion_test"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (32202\/(-10))\/((-66)\/550) + 9.\nAnswer: 2, 3, 2237","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many kilometers are there in 4.452521um?\nAnswer: 0.000000004452521","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -575821 - -69\nAnswer: -575752","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (17 + -30 + 18 - (-78 + 3)) + -22.\nAnswer: 58","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2880284873?\nAnswer: 11587, 248579","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + ((-4*(sqrt(833) + 1) - (sqrt(833) + 1 + sqrt(833) + -1)) + 4*sqrt(833)*-2 + 0)*-5)**2.\nAnswer: 20580*sqrt(17) + 4082141","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 3942331577?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 2857601 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = -c**4 + 17*c**2 + 3. Suppose 2*t - 40 = 7*t. Let k(a) = -3*a**4 + 50*a**2 + 8. Let y(i) = t*s(i) + 3*k(i). Find the third derivative of y(r) wrt r.\nAnswer: -24*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3*324\/189*14\/(-9).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = 231*s**3 + 4*s**2 - 5*s. Let n be c(2). Suppose -42*f + 36*f + n = 0. What is the tens digit of f?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 19 divide 6479?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 52.590357ms in days?\nAnswer: 0.0000006086846875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.5*31339.2.\nAnswer: 15669.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-4 + 14)*((-1836)\/120)\/(-9). Suppose v = -v + 6. Calculate the greatest common factor of d and v.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) be the second derivative of 0 + 0*z**2 - 5\/12*z**4 + 0*z**3 + 3*z. Let h(l) = l. What is h(x(m))?\nAnswer: -5*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = -8*c**4 + 2*c**3 - 2*c**2 + 16. Let s(d) = -d**4 + d**3 - d**2. Let q(v) = b(v) - 2*s(v). What is the first derivative of q(a) wrt a?\nAnswer: -24*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x - 3*i + 4 = i, -2*x = 2*i + 10. Sort 4, x, 3.\nAnswer: x, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = x**2 + 13*x - 3. Let g be u(-4). Let i(k) = -27*k - 37. Let b be i(-12). Suppose -6*z = z + b. Is z less than g?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2123491 to the power of 1\/2, to the nearest integer?\nAnswer: 1457","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -76, -7, 110, 1 in ascending order.\nAnswer: -76, -7, -3, 1, 110","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*s - 3*s - 3*s + (5 - 1 - 2)*(-s - s + 3*s) + s - 3*s + 4*s.\nAnswer: -4*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 138446946 to the power of 1\/3, to the nearest integer?\nAnswer: 517","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = -121*b**2 - 60 - 44*b - 781*b**3 - 82*b - 61 + 5*b. Let c(k) = 13*k**3 + 2*k**2 + 2*k + 2. Give 121*c(n) + 2*q(n).\nAnswer: 11*n**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 9734, 9801, 9894, 10031, 10230, 10509?\n\"Answer: 3*t**3 - 5*t**2 + 61*t + 9675","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-62)\/(-3 - (-7 + (-2 - -5))). Let h = 94 + p. Solve -3*x = 4*a + 2*x - h, 0 = 2*a - 5*x + 14 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 8*-8*(-266)\/(-7296).\nAnswer: -7\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 12 + -1. Let i(k) = k**3 - 12*k**2 + 11*k + 5. What is i(l)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(156)*3 - sqrt(156))*4*-3*-3)\/(-1*1*sqrt(1200) - 4*((sqrt(1200)*1 - sqrt(1200)) + sqrt(1200))).\nAnswer: -36*sqrt(13)\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 4 + (0 - (-1 - -1)). Suppose -8 = -f + z, o*f - 28 - 4 = 2*z. Solve -4*v = -6*v + f for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 19369 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -256 divided by 64?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 2 + 28. Does 31 divide (-62)\/(-3)*225\/g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 77*i - 8608 = -272*i - 189*i for i.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {v: 13, k: 5}. What is prob of sequence kvkv?\nAnswer: 13\/306","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = -2*h**3 - 26*h**2 - 4*h + 37. Let g be i(-14). Let o = g - 482. Let u(r) = r**3 - 2*r + 4. What is u(o)?\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -43248*f**2 + 10508*f**2 - 52832*f**2.\nAnswer: -85572*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 428.2123 hours in microseconds?\nAnswer: 1541564280000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express -224 + 14*x**3 - 15*x**3 + 146*x - 82 - 72*x - 75*x - 2*x**2 in the form v + t*x**2 + r*x**3 + u*x and give v.\nAnswer: -306","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (1 - 2)\/(3\/12). Let j = 12 + k. What is the units digit of j?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 10b6 + -2?\nAnswer: 10b4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -41090 - -100078. List the prime factors of p.\nAnswer: 2, 14747","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 117 minutes after 9:35 PM?\nAnswer: 11:32 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -70466.0152 - -70492. Let w = 25.914 + 0.086. Let k = o - w. What is k rounded to 3 dps?\nAnswer: -0.015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = f + 11. Let q be n(0). Let s(k) = k**2 - q + 29 - 11 - 8*k. What are the prime factors of s(17)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -0.36 (b) 69 (c) -1 (d) 1 (e) 3\/5 (f) -4 (g) 2\/9\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: (-11)\/(-836) + 3927\/45220\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*h - 16 = -2*i, 5*h + 3*i + i + 4 = 0 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = -m**2 + 10*m + 97. Let i be z(-6). Let c be 0 + i + (-42)\/7 + 13. Solve 4*n - c = 2*n for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (7 - (-11 + (24 - -3))) + 10 + 0?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 291 minutes before 12:08 PM?\nAnswer: 7:17 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: (2 - 24\/9)\/((-54)\/891)\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = -p. Let g(k) = 27*k**2 - 146*k**2 + 41*k**2 + 52*k**2. Give i(g(w)).\nAnswer: 26*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 7, 5, 253, 0, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -528725, -528741, -528757?\n\"Answer: -16*r - 528709","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide -38 by 19.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 113644 is divided by 112284.\nAnswer: 1360","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 0.43 times -4.663\nAnswer: -2.00509","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(132) - ((sqrt(132) - 6*sqrt(132)*2) + sqrt(132)) - sqrt(132))*-2)\/(sqrt(132)\/(sqrt(33)\/sqrt(27))).\nAnswer: -20*sqrt(11)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1\/2)\/(((-4606)\/147)\/94)*(-104)\/(-66)?\nAnswer: -26\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -981\/17 or -41?\nAnswer: -981\/17","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p + 290 = 24*p. Find the second derivative of 7*u + 25*u**3 + 7 + 5*u + 9*u - p*u + 0*u wrt u.\nAnswer: 150*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**3\/b)**(-9) assuming b is positive.\nAnswer: b**(-18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let -4*d**4 - 70*d**3 - 354*d**2 - 416*d - 128 = 0. What is d?\nAnswer: -8, -1, -1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 37\/77 and -2 + (-15)\/245 + 1.\nAnswer: 539","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -43\/188 - 1\/47. Which is the second biggest value? (a) 5 (b) l (c) -0.1 (d) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 103 and 7811944801.\nAnswer: 7811944904","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1 - -111101?\nAnswer: 111100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -2820.86 * -0.1\nAnswer: 282.086","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express 10*n + 21*n + 8*n + (-5 + 3 + 1)*(-n - n + n) in the form i*n + q and give i.\nAnswer: 40","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jx when two letters picked without replacement from {x: 2, j: 7, w: 2}.\nAnswer: 7\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g + 104457 = -0*z - 3*z, 2*z = 5*g - 104458. Let n be 10\/(-20)*(1 + 73)*-316. Let d = g - n. What is d rounded to the nearest 1000?\nAnswer: 9000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = 9*j**3 - 2*j + 2. Let v(q) = 19*q**3 - 5*q + 5. Give -5*k(s) + 2*v(s).\nAnswer: -7*s**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (0\/(-3))\/((-3)\/(-3)). Suppose d = -0*m + 2*m. Suppose 3*o - g - 2*g = 33, m = 4*o + 3*g - 23. What is the units digit of o?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4 - 30 - (12 + 1 + 50 + -18 + -47)?\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -4, -35, 3, 1 in ascending order.\nAnswer: -35, -4, -3, 1, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1852328 by -2.\nAnswer: -926164","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 3678279.312 rounded to the nearest 100000?\nAnswer: 3700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*y + 10 = -120. Is (-25)\/y*460384\/(-40) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-1*49)\/(7\/(-7)). Suppose -17 = -2*l + h. Suppose 5*n = 12 + l. What is the units digit of n?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17 = 4*k - 31. Suppose 5*n - n + 1 = -d, -3*n = 3*d + k. Suppose 9 = 2*l - n. Solve 0*t - l*r = t + 10, -4*t - 5*r = 10 for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -227*w + 667 = 2401 + 536 for w.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 61\/78 and (0\/7 - 5\/(-11))*-5.\nAnswer: 858","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 n and 1 d when two letters picked without replacement from {d: 7, n: 3}?\nAnswer: 7\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Divide 299 by -1.\nAnswer: -299","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 q and 1 t when two letters picked without replacement from thwttqtfhtttuthfw?\nAnswer: 1\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 15172\/20 + 2\/5?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 9 + (-7 - (-7 - -10)).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 16\/(-14)*3115\/(-1335)*(0 + -12)?\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__mixed_test"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -5614*g**3 - 6709.\nAnswer: -16842*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 240555547 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 27595 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.5, 1\/4, -3, 7 in ascending order.\nAnswer: -3, -0.5, 1\/4, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*((-3*sqrt(20))**2 - (sqrt(5) + 2*sqrt(20)\/sqrt(4))) - (6*(sqrt(80) - (1*sqrt(80) - sqrt(80)))*4)**2.\nAnswer: -46260 + 3*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 720 and 51120.\nAnswer: 51120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify i*i\/((i*i**4*i)\/i*i)*i*i\/i**(-1\/5)*i\/(i\/(i**0*i))*i*i*i**(-1\/2) assuming i is positive.\nAnswer: i**(7\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -35*p - 22 = 83 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*u - 3*u - 728 + 725 = 2*p, -15 = -3*u for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = y**2 - 11*y + 16. Give o(10).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 3124, 3119, 3112, 3103?\nAnswer: 3092","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify f*f**(-13\/5)*f**(-25) assuming f is positive.\nAnswer: f**(-133\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -5 - -8. Let p be (-8)\/(-28) - 78\/(-21). Suppose -39 - 41 = -p*g. Solve -v + g = a*v for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = -59*k + 2. Let o = -2 + 0. Let d be i(o). What is the highest common factor of d and 15?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 22033 at most as big as 22034?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -920*x + 445*x = -378*x + 970 for x.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = -q**2 + 40*q - 381. Calculate the least common multiple of m(18) and 450.\nAnswer: 450","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (5*k - 5*k + 2*k)*(-1 + 1 - k)*(2031 - 2031 + 84*k) to i*k**2 + x*k + n + z*k**3 and give z.\nAnswer: -168","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -60 - -64. Calculate the remainder when 29 is divided by d.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((u**(-1)\/u)\/u)\/(u\/((u\/(u*u**(-6)))\/u*u))*(u**(4\/5)\/u*u)\/u**(2\/31))\/(((u*u**(-3))\/u**7)\/(u**(-1\/3))**23) assuming u is positive.\nAnswer: u**(1892\/465)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 47 and 158?\nAnswer: 7426","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y - 2055 = -5*u, 4*y + 1233 = 3*u - 0*u. List the prime factors of u.\nAnswer: 3, 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 2\/19, -10.5, 7?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 6 or -102?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = s + 2*a, 5 = -5*a - 0. Suppose 5*f - 275 = -s*f. Suppose 6*q - f = q. Does 11 divide q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3.02165*-36.32.\nAnswer: 109.746328","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3 - 34*o + 11*o + 6*o + 6 + 20*o.\nAnswer: 3*o + 9","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 1447927278 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -1\/9 (b) 0.6 (c) -1\/8 (d) 2\/9 (e) -2\/7 (f) 2\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) be the second derivative of -r**5\/4 + 5*r**4\/4 + 5*r**3\/6 - 15*r**2\/2 + 4*r - 6. Factor j(q).\nAnswer: -5*(q - 3)*(q - 1)*(q + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = 378*m - 18923. Calculate s(50).\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = -z**2 + 27*z - 20. What is j(28)?\nAnswer: -48","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r - 585 = -5*r. Suppose 15 = 7*j - r. What is the tens digit of j?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-4 - -6) + -2)\/5 + 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h + 0*h = 15. Let j(a) = 5*a**2 + 8*a + 12. Let q be j(-3). Let s = -18 + q. What is the greatest common factor of s and h?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -200 + 164. Let m = q + 35.8845. What is m rounded to two decimal places?\nAnswer: -0.12","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = -44*w**2. Let c(n) be the second derivative of -22*n**4\/3 + 85*n. Determine f(c(l)).\nAnswer: -340736*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -25618 - 43286 = -2376*k for k.\nAnswer: 29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = 6*k. Let i be (-1)\/5 + 34\/(-5). Let a(w) = -5 + 9 - 11*w - 4. Let s(f) = i*g(f) - 4*a(f). Let o(j) = 2*j. Calculate s(o(c)).\nAnswer: 4*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -187 or 0.3?\nAnswer: -187","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = j**2 - 5*j + 4. Let m be i(4). Suppose -3*v = -48 + 15. Suppose 0 = 5*k + v + 4, m = -5*z + 5*k + 25. Let w(p) = -4*p - 2. Give w(z).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1 - 62) + (-25554 - -25696)?\nAnswer: 79","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 133 - 364. Is ((-1)\/1*1)\/(3\/x) a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g - 14 = -2*o, -4*g + 1 = -5*g + o. Let y be 2\/4 - (-7)\/g. Suppose -5*l + 105 = -2*k + 8, 0 = y*l - 3*k - 72. What is the units digit of l?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 7681?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 90872750, 181745511, 272618260, 363490991, 454363698?\nAnswer: 545236375","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 243 - 238. Solve n*q + 1 - 6 = 0 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2\/(-8))\/(30\/(-100)*(-70)\/(-84))?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -136*h**5*l - 3*h**3*l - 136*h**3 - 61886*h*l + 4*h wrt h?\nAnswer: -2720*h**3*l - 18*h*l - 816*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**4\/((r\/(r**(-14)*r))\/r))\/(r**(-2\/9)*r)**(9\/11) assuming r is positive.\nAnswer: r**(-106\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*g + 4 = 6*g - 4*i, 3*g + 4*i - 31 = 0 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*g**4\/7 - 47634*g**3\/7 - 190788*g**2 - 1336104*g.\nAnswer: 3*g*(g - 15906)*(g + 14)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6164009.\nAnswer: 31, 198839","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*o + 41*o = 33067 + 282493. Is 46 a factor of o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -28*k**2 + 1 - 4 + 13*k**2 - 26*k**2.\nAnswer: -41*k**2 - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 200 - 202 - 24*h - 111*h.\nAnswer: -135*h - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put together -1170965322 and 16.\nAnswer: -1170965306","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from gggggggxgggggyg. What is prob of sequence xygg?\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + sqrt(76)\/sqrt(4) + (sqrt(209)*1)\/sqrt(11) - (2 + sqrt(2736) + (sqrt(2736) + 0 + 3)**2).\nAnswer: -2746 - 82*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*i + 3*u - 5, -16*i + 14*i - u + 7 = 0 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.0264 + -289.9736. Let v = 290.5 + r. What is the nearest to 13 in v, -4, 4\/7?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = y + 6. Let z be h(-7). Suppose -3*m + m = -4. Suppose 3*i = 2*i - m. Sort 4, i, z.\nAnswer: i, z, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {l: 18, a: 1}. Give prob of picking 1 a and 2 l.\nAnswer: 3\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 45 + -29. Calculate the lowest common multiple of 10 and k.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*s + 16 + 17 = 0. Let c be 15\/(-10)*60\/9. Let j be ((-3)\/15)\/((-5)\/c). What is the fourth smallest value in -4, s, 0.5, j?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -10151 - 749.\nAnswer: -10900","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 32524.66 rounded to the nearest 10?\nAnswer: 32520","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {b: 4, r: 2}. Give prob of sequence rbbb.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -28\/13 and ((-20)\/(-24))\/(3\/(-2)).\nAnswer: 117","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 4*o**3 - o**3 + 223998*o**2 - 224073*o**2 as c*o**3 + k*o**2 + x + a*o and give k.\nAnswer: -75","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from evevkvvvvvevvvv. What is prob of picking 2 k?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w**(-1\/14)\/w)\/w)\/(w*w**(-6)*w*w)*w**(-10)\/((w**0\/w*w)\/w) assuming w is positive.\nAnswer: w**(-113\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-3)\/(-2))\/((-18)\/(-72)). Solve -h*w + 2*w = -12 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 59 + 31 - 60 = -10*j for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = -2*o**3 + 1. Let y be j(2). Let f = 25 + y. What is the units digit of f?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 44 + -5. Let w = 55 - a. Is w a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 21\/40 and -121\/50.\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 43187964 to the nearest integer?\nAnswer: 6572","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) be the third derivative of -o**6\/120 - o**5\/20 + o**3\/2 + 4*o**2. Let c be g(-3). Let m(u) = u**2 - 5*u - 10. Let v be m(7). Solve v*q = q + c for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 48315 to the power of 1\/7, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3433 by -73980.\nAnswer: 3433\/73980","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -10 - -11. Let m(z) = -z**3 - z**2 + z. Let w(p) = 3*p**3 + 5*p**2 - 5*p. Calculate r*w(s) + 5*m(s).\nAnswer: -2*s**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w\/w**(1\/2)*w)\/w**(-1\/10) assuming w is positive.\nAnswer: w**(8\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express -15*q + 9*q - 5*q**2 + 3 + 5*q + q**3 - 18*q**2 in the form n*q + o*q**3 + c + g*q**2 and give g.\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) be the first derivative of -s**6\/1440 + s**4\/96 - 2*s**3\/3 - 2. Let y(t) be the third derivative of d(t). Factor y(r).\nAnswer: -(r - 1)*(r + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = 2*o**3 - 3*o**2 - o + 4. Let w be q(2). Let l(z) = z**3 - 7*z**2 + 7*z - 6. Determine l(w).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-6)\/(-1)*15*(-15)\/(-450)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = l - 8. Let g be j(6). Let y be 0 - (-2 - g - 4). Suppose -4*f - 4*v - y = 0, 3*f + v + 1 = -v. What is the units digit of f?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1420744963 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {m: 15, z: 4}. Give prob of sequence zmz.\nAnswer: 10\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(1 + (sqrt(605) + -2*-1*sqrt(605) + 4 - (sqrt(605) + (sqrt(605) - (sqrt(605) + 1)*4) + -2)))**2.\nAnswer: 2420*sqrt(5) + 30492","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = r**3 - r**2 + 1. Let k be s(-1). Suppose 4*x + 36 = 4. Suppose 5*f = 2*w + 5 - 26, f = -3*w + 6. Sort k, f, x in descending order.\nAnswer: k, f, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 244 and -2.3942.\nAnswer: 241.6058","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = k + 5*m - 28 + 3, m = -3*k + 5. Let g(a) = -a**3 + 5*a**2 + 7*a - 2. Let o = 17 + -11. Let w be g(o). Solve w = -s - k for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 90.1 + -96. Let i = 19.1 - r. Let n = 24.994 - i. What is n rounded to 3 decimal places?\nAnswer: -0.006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.7 + -0.2. Let a = 1.5 - 4.5. Sort m, 5, a.\nAnswer: a, m, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -12 + 38. Let f be (r\/(-5))\/(1\/(-5)). Suppose -4*k + 118 - f = 0. Is k a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 12280564 to the nearest integer?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -122 - -10011121220022?\nAnswer: 10011121212200","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-999)\/5994)\/((-1*1)\/2)?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 k when two letters picked without replacement from kkkkkkkkkk.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 1151422449 to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1375507 is divided by 444?\nAnswer: 439","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve p + 73*v + 12 = 71*v, 0 = 2*p + 2*v + 14 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -5403, -15913, -26429, -36951, -47479, -58013, -68553?\n\"Answer: -3*g**2 - 10501*g + 5101","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -4 (b) 24\/7 (c) 1 (d) 0.3 (e) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -62359 and -0.527197507?\nAnswer: 62358.472802493","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 3\/(2 + -3 + 14\/8). Let g(h) = 6*h - 8. Let f(n) be the third derivative of -7*n**4\/24 + 5*n**3\/3 - n**2. Let k(q) = p*g(q) + 3*f(q). Determine k(-4).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 424 = 23*u - 2060. What is the highest common factor of 252 and u?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2234489.\nAnswer: 1193, 1873","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + 5 + (-6*(sqrt(42) - sqrt(168)\/sqrt(4))*5)\/(3*(1*sqrt(486) - sqrt(486)) + sqrt(486)).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_test"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 19\/4 of a kilogram?\nAnswer: 4750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 1418135121+0.13\nAnswer: 1418135121.13","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 2 - 2)*(-140*m + 59*m + 21*m - 172*m).\nAnswer: 232*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = -2*c**2. Let m(d) = -2059801*d. What is f(m(r))?\nAnswer: -8485560319202*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 35*r - 1 - r + 16*r - 8*r.\nAnswer: 42*r - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -26 less than 0.083?\nAnswer: 26.083","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) 2792 (b) 2 (c) -0.1 (d) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14 = 2*n + 5*k, 2*n = -0*k + 3*k + 30. Suppose 0 = -3*r - 5*j - 2, 5*r - n - 10 = -2*j. What is the common denominator of 1\/r*(3 + -148) and -53\/3?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 172 minutes before 6:58 PM?\nAnswer: 4:06 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.28 - -3.28. Let z be (-250)\/(-65) + (-12)\/(-78). Which is the closest to 2\/7? (a) p (b) z (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = v**2 - 14*v - 33. Let c be g(19). Find the third derivative of -62 + 27*p**5 - 31*p**2 + c wrt p.\nAnswer: 1620*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 458 minutes before 10:47 PM?\nAnswer: 3:09 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 2\/477, -39, -0.4?\nAnswer: 2\/477","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 26073*n**2*p*u + 2*n**2*p - 3*n**2*u**2 - 4*n**2*u - 118*n*p - 2*p*u + 3004*u**2 wrt n?\nAnswer: 52146*p*u + 4*p - 6*u**2 - 8*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 51 and 5466.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 2315 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: Collect the terms in 2863*q**3 - 2875*q**2 + 2878*q**2 - 2844*q**3.\nAnswer: 19*q**3 + 3*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -14829024*n + 4189568*n - 2173534*n - 20853656*n.\nAnswer: -33666646*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = 2*b**2 - 3*b - 3. What is the units digit of m(5)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -101\/584 and ((-2076)\/(-99) + -21)\/((-4)\/618)?\nAnswer: 6424","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -42*f + 123 + 3. Solve -f*u = 15, -2*u = 2*o - 6*u - 26 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve p - 6*o - 372 = 0, 4*p + 2*o + 168355 = 168231 for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 30*a - 1882510 + 379330. What is the units digit of a?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 243 minutes before 10:10 AM?\nAnswer: 6:07 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b + 160 = 3*f - 0*b, -53 = -f - 2*b. Let q = -37 + f. Suppose -4*o + 4 = z - 0, 0 = -2*z + o + 53. Calculate the smallest common multiple of q and z.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 12683.9954852 + -12684. What is d rounded to 4 decimal places?\nAnswer: -0.0045","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {l: 10, h: 6, t: 2}. Give prob of sequence lhh.\nAnswer: 25\/408","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 236517 is divided by 3154.\nAnswer: 3121","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -20797, -41542, -62287, -83032?\n\"Answer: -20745*y - 52","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1365)\/273*((-936)\/20)\/6?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 47 a factor of 1075744844?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 62893 divided by 737.\nAnswer: 62893\/737","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m + n = 12471229, 4*n = -5*m + 19590795 - 4001745. Let x = -2224806 + 3982612. Let w = m - x. Round w to the nearest one million.\nAnswer: 1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-160)\/(-48))\/(2\/(-138)). Round w to the nearest one hundred.\nAnswer: -200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d + m + m + 11 = 0, 4*d - 3*m = 29. Solve -d*w + 12 = 37 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = 23*f**3 + 7*f**3 - 28*f**3 - 2*f**2. Let r(w) = 2*w**3 - 3*w**2 - 1. Let q(k) = -3*o(k) + 2*r(k). Calculate q(2).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 d when three letters picked without replacement from {q: 5, b: 1, d: 4}?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express -15*z**4 - 7316*z**2 + 3666*z**2 - 4*z**3 + 3649*z**2 + 4 as s*z + i*z**2 + c*z**4 + x*z**3 + w and give x.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1811910318.\nAnswer: 2, 3, 301985053","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -16 + 12. Let b(r) = -4. Let v(l) = 1. Let p(a) = -b(a) - 3*v(a). Let j(f) = f + 3 - 3 - 2. Calculate g*p(t) - j(t).\nAnswer: -t - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 5 - 10. Let u = -13 - -8. Let q = u - p. What is the closest to q in -0.3, -4\/7, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) be the second derivative of 1\/2*a**2 - 2*a - 10\/3*a**3 + 0. Is o(-1) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 132 and 2005124?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_test"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = -3*y**2 + y + 7. Let w be x(0). Let i(f) = 5*f**3 + f**2 - 1. Let s be i(1). Suppose a - 38 = -s*j, -3*j = -2*a + a - 26. Is w bigger than j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -28 + 38. Calculate the remainder when 19 is divided by r.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 510186*p**2 - 1020386*p**2 + 12 + 510325*p**2.\nAnswer: 125*p**2 + 12","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 23073814081 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 138786, 138778, 138770, 138762, 138754?\nAnswer: 138746","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 7467, 15539, 24217, 33501?\n\"Answer: 303*o**2 + 7163*o + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v - 74 = -n, 53*v + 361 = 5*n + 52*v. Solve 100*g - 82*g = n for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 at most as big as -2\/651277?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 689 minutes after 5:43 PM?\nAnswer: 5:12 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2168160?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*b + 95*m - 388 = 65*m, -63 = 2*b - 5*m for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) be the second derivative of 0 + 1\/135*f**6 - 1\/9*f**2 + 2\/27*f**3 + 0*f**4 - 1\/45*f**5 - 7*f. Suppose o(j) = 0. What is j?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.038 - -3.962. Let f = 2 + -1. What is the closest to f in 3, 0.4, o?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.6? (a) 1 (b) -13 (c) 22\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 21 (base 6) to base 15\nAnswer: d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*j - 6, 390*d - j + 37 = 394*d for d.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + ((sqrt(432)*1 + -4 - (sqrt(432)*2 + 0 - sqrt(432))) + 1*-3*sqrt(432)*-5)**2 + 0.\nAnswer: -1440*sqrt(3) + 97215","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = 5*n + 24. Let t be h(-5). Let o(f) = 3*f + 1. Give o(t).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -3 * 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -b + 2*b + 3*f + 14, -2*f - 6 = 0 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:46 PM and 9:36 PM?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = 3*r - 25. Let s be v(13). Suppose s*a = 5*a + 18. Calculate the common denominator of -49\/13 and a\/(-8*(-1)\/(-29)).\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millennia are there in 16.323141 months?\nAnswer: 0.00136026175","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:28 PM and 1:39 AM?\nAnswer: 371","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2310?\nAnswer: 2, 3, 5, 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 19321793?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is p in -p**5 + 1080*p**4 - 340238*p**3 + 24244436*p**2 + 390930855*p + 1429227100 = 0?\nAnswer: -7, 124, 485","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 172 minutes before 12:58 AM?\nAnswer: 10:06 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express -271*n**2 + 219*n**2 - 2387*n**2 + 3*n**2 in the form f*n**2 + g*n + z and give f.\nAnswer: -2436","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 88*n**2 + 39037915 - 39037915.\nAnswer: 88*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 52143 and 3.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 144 - -1665?\nAnswer: 1820","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is (336\/420)\/(16\/15)?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3249 is divided by 450.\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*f + 0*f + 0*f)*(1 - 2*f - 1 - 2*f + 3*f + 0*f + (5 - 2 - 1)*(0*f + f + 2*f) + 2*f - 3*f + 3*f).\nAnswer: -14*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 249172726 to the nearest integer?\nAnswer: 126","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 99 and 54.\nAnswer: 594","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z + 4*l + 4 = 0, -z - 5*l - 5 = -2*z. Suppose z*r + 15 = 3*r. Let c = 1 - -12. What is the remainder when c is divided by r?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = 5*b**2. Let c(n) = -7*n**2 - 158451*n. Calculate c(p(r)).\nAnswer: -175*r**4 - 792255*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:49 AM and 3:48 PM?\nAnswer: 359","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = y**3 - 11*y**2 + 13*y + 15. Let t be z(10). Let j = 50 - t. Suppose 4*s + 2*g - 444 = 0, 4*s = j*g - 2*g + 444. Does 37 divide s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 101 a factor of 3 - 5\/(-15)*51945?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1 + 9)*(-4)\/(-24)*3?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 8663\/4 + -2166. Let g = -2 - -2.3. Which is the fourth smallest value? (a) 0.1 (b) g (c) -2 (d) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 7929 - 47443\/6. Suppose -4*x - 4*f + 4 = 0, x - 4*f + 1 = -13. Find the common denominator of (330\/16)\/5 + x and k.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -106666*k**5 - 45304*k.\nAnswer: -2133320*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 769, 692, 563, 370, 101, -256, -713, -1282?\n\"Answer: -2*j**3 - 14*j**2 - 21*j + 806","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 32001638 is divided by 1600081.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 110017 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) be the second derivative of w**5\/25 - 2*w**4\/15 - 2*w**3\/15 + 4*w**2\/5 - 21*w. Determine q, given that j(q) = 0.\nAnswer: -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -19866060*i**4 + 18695146*i wrt i.\nAnswer: -238392720*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in -66, -3, 2?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 1299, 1139, 991, 855, 731, 619, 519?\n\"Answer: 6*z**2 - 178*z + 1471","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 435.\nAnswer: 3, 5, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -59, 0 in descending order.\nAnswer: 5, 0, -59","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 143 and 115144601.\nAnswer: 143","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -277, -555, -833, -1111, -1389?\n\"Answer: -278*m + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand 17*h - 4*h + 3*h + (1 - 5*h - 1)*(1 - 8 + 2).\nAnswer: 41*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 506976352 to the power of 1\/5, to the nearest integer?\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -0.05*-30.9\nAnswer: 1.545","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Total of 38840099628 and -0.2.\nAnswer: 38840099627.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-6)\/(-8))\/((-174)\/(-16)). Let l = 7 + -7. Suppose l*w = -3*w + 3. Which is smaller: w or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1912 - 64347 = 1573*d - 26984 + 53532 for d.\nAnswer: -59","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 16, -4, -2, 8, 4, 2625.\nAnswer: -4, -2, 4, 8, 16, 2625","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 4577 to the power of 1\/2, to the nearest integer?\nAnswer: 68","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6452079 is divided by 121.\nAnswer: 117","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*r**4 + 0*r**4 + r**4)*(-2 + r + 2) + 9*r**5 + 8*r**5 + 2*r**5 - r**5 - 3 + 3.\nAnswer: 19*r**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = 367*k - 5. Let n be y(-5). What is n rounded to the nearest one hundred?\nAnswer: -1800","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = 2*b**3 + 25*b**2 + 9*b - 10. Let s be a(-10). Let p = -3 + 43. What is the greatest common divisor of p and s?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:10 PM and 12:37 AM?\nAnswer: 207","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = o**2 - o - 3. Let r be t(3). Suppose 0*v - 189 = -r*v. Let m(l) = -l**3 + 78*l - 6. Let g be m(-9). What is the highest common factor of g and v?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 12*y**2 + 33*y**3 - 32*y**3 - 11*y**2 + 15*y wrt y?\nAnswer: 6*y + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.268 - -0.032. Let r = 0.4 + -0.3. Which is the closest to r? (a) -2\/13 (b) h (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 1 (b) -771 (c) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 b and 1 p when four letters picked without replacement from ppppbbpppb?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f + 8 = -2*c, -4*f + 0 = -3*c - 16. Solve -2*t - 2*l + 2 = 0, -6 = -3*t + f*l + 25 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = k**3 - 15*k**2 + 13*k + 2. Give u(14).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6610 = 6*u - 7742. Let l be 51632\/(-35) + (-1)\/(-5). Let w = l + u. Is w prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-58056)\/(-76) + 12\/114.\nAnswer: 2, 191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-268)\/(-670) + (-162)\/(-70) - -8 - 6\/(-21)?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is -406285 less than or equal to -406286?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 1328389 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 109649, 109648, 109647, 109646, 109645, 109644?\nAnswer: 109643","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 2*i**4*n + i**3 + 2*i*n + 2*n - 21 wrt i.\nAnswer: 8*i**3*n + 3*i**2 + 2*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (15 - -65 - 84) + (5 - (2 + (0 - 94)))?\nAnswer: 93","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 160*q - 597 = -10*q - 29*q for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 87093, 87168, 87299, 87480, 87705, 87968, 88263, 88584?\n\"Answer: -h**3 + 34*h**2 - 20*h + 87080","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -51 - -56. Let w = -2 - -1. Let k = 1 + w. Solve k = 2*f + f + 15, x*f + 23 = u for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m = 185 + 31. Let d be ((-54)\/m)\/(0 + (-10)\/8). Which is smaller: d or -11\/7?\nAnswer: -11\/7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 9 and 111326?\nAnswer: 1001934","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 274 is divided by 11?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7 divided by -18.\nAnswer: -7\/18","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-21)\/5*(-61)\/((-1647)\/60).\nAnswer: -28\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1247 a multiple of 29?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify y**(1\/9)*y**(1\/2)*(y**(-1\/2)*y)**37*(y**(-3)*y**(-3\/13))**42 assuming y is positive.\nAnswer: y**(-13640\/117)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*m - 4*m + 12 = 0. Suppose 2 = 2*c - 4*y, -y - 5 = c + 3*y. Let u = m - c. Solve 13 + 7 = u*f for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 85\/22192 and -97\/114.\nAnswer: 66576","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find s, given that -2*s**3 - 15897808*s**2 - 31592537400608*s = 0.\nAnswer: -3974452, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k - 56 = -2*m, 5*m = -2*k + 102 + 26. Suppose -27*p + 26*p = -54. Let d = p + -30. What is the least common multiple of m and d?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from gugggguugugeeuguze. Give prob of picking 1 u, 1 g, and 1 z.\nAnswer: 1\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -95 and 0.3.\nAnswer: -28.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 16 + -6. Let f = v + -5. Let p = 2 + -4. Which is the second smallest value? (a) p (b) f (c) -1\/6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -499*x + 1478 wrt x?\nAnswer: -499","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 13*y**3 + 7 + 23 + 14 - 44.\nAnswer: 13*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 1.1 - -19.274171\nAnswer: 20.374171","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = -9*s - 9. Let c(l) = 8*l + 9. Let b(y) = 4*c(y) + 3*n(y). Find the common denominator of b(-8) and 46\/3.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = o**3 + 5*o**2 - 11*o + 4. Calculate l(-7).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 13896?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 230, 954, 2134, 3776, 5886?\nAnswer: 8470","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:17 PM and 1:35 AM?\nAnswer: 558","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Do 0 and 4\/29447 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 26\/(-78) + (-1169)\/(-3489). Which is smaller: 1 or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 57*s = 241*s + 95*s + 31*s. Let x(d) = -d**3 + d**2 - 6*d - 3. Give x(s).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 e and 1 k when two letters picked without replacement from {t: 4, k: 2, e: 4, l: 4, q: 5, w: 1}?\nAnswer: 4\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 1473620 rounded to the nearest ten thousand?\nAnswer: 1470000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = -365*p**2 - 14*p. Let t(n) = 183*n**2 + 8*n. What is -4*h(i) - 7*t(i)?\nAnswer: 179*i**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 217453\/55 or 3954?\nAnswer: 3954","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -543, 98, -3 in descending order.\nAnswer: 98, 2, -3, -543","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) be the first derivative of g**6\/180 - g**4\/12 + 2*g**3\/3 - 4. Let v(h) be the third derivative of w(h). Solve v(d) = 0 for d.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 81, 358, 821, 1470, 2305, 3326?\nAnswer: 4533","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-42)\/(-4) - 5\/(-10). Let k(t) = t**2 - 6*t - 12. Is 16 a factor of k(u)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -152912 divided by -16\nAnswer: 9557","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 40647096 a multiple of 1624?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = a**2 - 7*a - 91. What is n(-7)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 8 (b) -1696.547 (c) 0.2 (d) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rol when three letters picked without replacement from {l: 4, o: 1, r: 2}.\nAnswer: 4\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 21985784 is divided by 178746?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = s**3 - 3*s**2 - 10*s - 7. Let l(z) = z**2 - 2*z. Let f(h) = -j(h) + 2*l(h). Give f(6).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 514048079 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 618 minutes after 11:14 PM?\nAnswer: 9:32 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = -9792*c - 799. What is the hundreds digit of k(-2)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 0 - ((-40)\/4 - -3). Let u be 2 + 9\/(-6)*(2 + 0). Put d, 13, u in increasing order.\nAnswer: u, d, 13","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -2\/5, 2, 4263, 0.476?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from kkkkkkkzkkkz. Give prob of sequence kz.\nAnswer: 5\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*g**4\/19 + 1782*g**3\/19 - 8956*g**2\/19 + 3600*g\/19 + 14336\/19 = 0. Calculate g.\nAnswer: -896, -1, 2, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 25132383 is divided by 29?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w - 4*k + 484 + 126 = 0, 5*k + 1168 = 4*w. Let n = 874 - w. Let g = n + -395. Is g a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -56682, -56603, -56466, -56271, -56018?\n\"Answer: 29*a**2 - 8*a - 56703","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/10 of a meter in millimeters?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -14a - -e7e?\nAnswer: d34","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 3862\/23 - 168. Let p = 6 + -6.02. What is the third smallest value in -0.4, c, p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 129 - 110. What is the remainder when 55 is divided by n?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -47 - -38. Let j(y) = -y - 17. Calculate j(b).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = -5*n**2 + 21*n - 10. Let r = -217 - -220. Let l(x) = -10*x**2 + 40*x - 20. Let b(f) = r*l(f) - 5*q(f). Suppose b(s) = 0. What is s?\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -564 - -1da0?\nAnswer: 183a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*t + 3*t - 60. Let d(b) = 4*b + 3. Let h be d(3). Let y = h - 9. Calculate the highest common factor of t and y.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = -x**3 + x**2 + 3*x - 3. Let d be z(-2). Suppose 5 = f - 0*f + d*i, f + 5*i = 7. Solve w + f*w = -9 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.2 and -706850.\nAnswer: 141370","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 682 or 4770\/7?\nAnswer: 4770\/7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*l - 3*r = -r - 7, 4*l - 3*r = -9 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = 2*x**2. Let l(b) = -257*b. Determine l(w(k)).\nAnswer: -514*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(sqrt(2) + sqrt(8))*4.\nAnswer: 36*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.069 + 2.0086387594.\nAnswer: 1.9396387594","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-3)\/(12\/40) - 2. Let o = 17 + v. Calculate the lowest common multiple of 9 and o.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = i - 1. Let o(h) = -265*h + 212. What is 212*f(q) + o(q)?\nAnswer: -53*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert -111210212021 (base 3) to base 10.\nAnswer: -271816","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/4 in -0.2, 3, 10, -1\/7?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -3074.6 + 3075. Sort 1, -0.25, -2, -3\/8, r in decreasing order.\nAnswer: 1, r, -0.25, -3\/8, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = w**2 + 18*w + 53. What is m(-14)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 212 - 142 - 70 + 209*d**3.\nAnswer: 209*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a = -2*h - 304, -a - a = -5*h - 778. Let b = 509\/3 + h. What is the common denominator of -39\/10 and b?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from pdblp. What is prob of picking 1 p, 1 l, and 1 b?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -85880 divided by 40\nAnswer: -2147","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 84337?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -111 - -118. Solve 8 + 13 = t*r for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 7\/6 (b) 2\/5 (c) -48 (d) -2\/5 (e) 2 (f) -4.7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: (-2)\/(-21)*18\/6\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 27.18 - 29.6. Let a = -1.14 + n. Let v = a + 3.5. Which is smaller: 2\/3 or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 119332*f - 203593 with respect to f.\nAnswer: 119332","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2925?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-8)\/2 + 19 + (-6)\/2. Which is bigger: o or 76\/7?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = 5*y**2 - 1468*y + 10. Let w(q) = -q**2 + 294*q - 2. Determine 2*g(u) + 11*w(u).\nAnswer: -u**2 + 298*u - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -318, -676, -1046, -1434, -1846?\n\"Answer: -u**3 - 351*u + 34","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -37\/48 and 44\/3555.\nAnswer: 56880","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:19 AM and 7:59 AM?\nAnswer: 160","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 4*(3 + -2) + 1. Let m be -2 + 2 + 3 + -1. Suppose 5*t = i + 2 - 3, 4*t + 12 = -m*i. Which is the closest to t? (a) p (b) -1\/2 (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.411 - 19774114411\nAnswer: -19774114410.589","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = -3*w**2 - 3*w + 44. Let r(c) = 3*c - 1 + 0*c + 3*c - 5*c + c**2. Let d(b) = q(b) + 2*r(b). Let s be d(0). What is s rounded to the nearest 10?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = 4*c**2 - 5*c. Let x(t) = 0*t + 3*t + 3*t - 4*t**2 - 2*t. Let b(n) = -3*a(n) - 4*x(n). What is the second derivative of b(k) wrt k?\nAnswer: 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = -28*h + 20. Let p be q(-10). Let z = p - 204. Suppose d - z = -2*d. What is the units digit of d?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*y - y = 80. Suppose y*o + 55 = 263. List the prime factors of o.\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 7}. Give prob of sequence ww.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-6)\/(-4)*(-60)\/(-270).\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = -35*y - 43. Let k(s) = 94*s + 87 + 6*s - 29*s. Let c(x) = 4*k(x) + 9*o(x). Find the first derivative of c(a) wrt a.\nAnswer: -31","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7390*a + 1526*a + 5866*a.\nAnswer: 2*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -71 + 232. Suppose 0 = b - 84 - 24. Let x = h - b. What is the units digit of x?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 39*p - 16*p - 1058 = 0. Suppose 4*o + 1 = 49. What is the smallest common multiple of p and o?\nAnswer: 276","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 58*z = 52*z + 1284. Let p = 226 - z. Suppose 0 = 2*s - 7 + 1. Calculate the highest common divisor of p and s.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 21723971, 21723972, 21723973, 21723974, 21723975, 21723976?\n\"Answer: y + 21723970","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -2774 - -2746. Which is the nearest to 0? (a) -0.1 (b) 0.17 (c) w\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 49910 a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t = 10*t - 28. Suppose -1 = z + t*j, -6*z + z - 5 = 3*j. Put 4, 6, z in ascending order.\nAnswer: z, 4, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 7077 (b) 1\/5 (c) 12\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 3247 a factor of 183556157?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 1800905 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = t**2 + 10*t - 1. Let b be i(-10). Calculate the common denominator of ((-88)\/2 - b)*(-3)\/(-33) and 52\/31.\nAnswer: 341","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ggd when three letters picked without replacement from {d: 16, g: 2}?\nAnswer: 1\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 54116521?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 42924 = 5*o + 13599. Let l = o + -46985\/8. Calculate the common denominator of -4\/9 and l.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = -s**2 + 5*s + 4. Let x be (1 + 0)\/(-3 + 48\/15). Give v(x).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 40206.\nAnswer: 2, 3, 6701","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express -1928*v - 3*v**3 - 1921*v + 3836*v - 2 in the form x*v + o + z*v**2 + l*v**3 and give o.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 769\/3 - 255. Put w, 17, 3 in descending order.\nAnswer: 17, 3, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -4.5 + 4.73. Let u = i - 0.53. Which is greater: -2\/11 or u?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -7853169400 to the nearest one million.\nAnswer: -7853000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 165*q - 60 = 317*q - 157*q for q.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-8)\/(-1) - (-336)\/(-42). Solve -j + 3 - 1 = h for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 206 - 198. Solve -4*f + 20 = -l*f for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:31 PM and 4:28 PM?\nAnswer: 117","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 56 - (-1 + 1)\/(-1). Let a = -1217 - -1304. Let y = a - f. List the prime factors of y.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1557 and 9.\nAnswer: 1557","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -2\/13, -0.3.\nAnswer: -0.3, -2\/13, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i + 4*q + 10 = 0, -4*i - 5*q + 8 = -2*q. Let v be (3 - 10\/3) + (-52)\/(-39). Let d(p) = -1 + 2 - i*p + v. What is d(7)?\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.6 times -14?\nAnswer: -8.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 4 + -376?\nAnswer: -372","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -1301312113210 + 0?\nAnswer: -1301312113210","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 76854?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in one fifth of a microgram?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = 23*p + 114. Determine y(-5).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) be the first derivative of -b**2 - 8*b + 1. Let w(k) = -k**3 + 18*k**2 - 16*k - 21. Let d be w(17). Let u be l(d). Solve -2*r + 8 = -u for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 3756 and -0.4?\nAnswer: -1502.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*l - 0*l + 72. Suppose -3*w + l = w. What is the units digit of w?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 570 minutes before 12:54 AM?\nAnswer: 3:24 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*a = -3*t - 2*a + 65, -4*t + 4*a = -100. Suppose -33*l + 144 = -t*l. What is the tens digit of l?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 23d90 (base 15) to base 12\nAnswer: 56283","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c = n + n + 2, 0 = n + 2. Let t be (-16)\/6 + c - (-10)\/15. Solve -5*j - 4*f + 13 = t, 2*f + 0 = 5*j - 1 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.3 + -0.5. Let r = -3.1 - -3. Let g = r - 0.4. What is the nearest to 1\/2 in 1\/7, b, g?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = -3*w**3 - w**2. Calculate p(-1).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = 246*a + 83413. Give m(-342).\nAnswer: -719","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -6*p**3 + 12*p**2 - 18 + 20 + 23*p**2 - p**4 + 17*p**3 + 31*p**2 wrt p?\nAnswer: -24*p + 66","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -1\/112 and 155\/1512.\nAnswer: 3024","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 574186317 to the nearest integer?\nAnswer: 831","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 35 + -31. Let z(s) = -3*s**3 - s**2 - s - 1. Let k be z(-1). Solve -4*h + 5*f = 16, -k*f + 16 = -i*h - 0*f for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = 7 - 15*l**2 + l**2 - 33 - l**3 - l**2 - 5*l. Let c be t(-15). Suppose 44*i = c*i - 350. Does 5 divide i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1014 - 0.5\nAnswer: -1014.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-103)\/824*(-36)\/10)\/((-3)\/5).\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 10970 or 10960?\nAnswer: 10970","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 r when four letters picked without replacement from {r: 5, u: 3}?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-28)\/196 - (0\/(-1))\/(-2 + 1). Which is the closest to -10\/3? (a) 5 (b) -2\/11 (c) 3 (d) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_test"},"subset":"dm_maths"} +{"text":"Question: 1 divided by -1281\nAnswer: -1\/1281","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 828550?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-162)\/4)\/(441\/(-294)).\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g - 15 = -3*n, -3*g - 6 = -2*n + 4. Suppose -q + 6 = -2*s, -q + g*q + s + 3 = 0. Let p be 2 + (-36)\/17 + 0. Sort p, q, 2 in descending order.\nAnswer: 2, q, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 54882753 to the power of 1\/2, to the nearest integer?\nAnswer: 7408","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t = 36 - 11. What is the units digit of t?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c = 12 + 3. Let i = 1 + c. What is the third derivative of 3*a**2 - a**i + 4*a**4 + 0*a**2 wrt a?\nAnswer: 72*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 22 a factor of 5239542?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.166618711 to 2 dps.\nAnswer: 0.17","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 40*n**2 - 7*n**2 + 7*n**2 + 24*n**2.\nAnswer: 64*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 10053?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = 3*v - 3. Let c be t(7). Is (-25)\/10*c\/(-5) a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3\/(2*(-6)\/16)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -29116 - -29146. Let f(y) = y**3 - 31*y**2 + 35*y - 140. Calculate f(c).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -4.4344 and 322.\nAnswer: 317.5656","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2677*l - 68*l**3 + 258*l**5 + 150*l**3 - 82*l**3 + 2644*l**5 wrt l.\nAnswer: 58040*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 13391.\nAnswer: 7, 1913","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 53471.\nAnswer: 11, 4861","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = -z**2 + 57. Is f(0) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 430 minutes after 9:18 AM?\nAnswer: 4:28 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = l**3 - 5*l**2 + l - 5. Let v = 3782 + -3777. Give w(v).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -33119, -33126, -33123, -33104, -33063, -32994, -32891?\nAnswer: -32748","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -103 + (2 - 2 - -19) + 2\nAnswer: -82","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in four thirds of a year?\nAnswer: 16","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 + 155\/30 - (-2)\/(-12).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 100\/(-600) + (-3661)\/(-6) is divided by 28?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 14.14 and 227.7.\nAnswer: 3219.678","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-7 - 44\/(-6))*(0 + 9). Let o(j) be the second derivative of 0 + 0*j**3 - 1\/12*j**4 + y*j + 0*j**2. Let x(z) = -3*z. Calculate o(x(u)).\nAnswer: -9*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express 382*h - 16 - 50 - 386*h + (2 - 5 + 1)*(-h + 2*h - 6*h) in the form v*h + r and give v.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -160, -331, -502?\n\"Answer: -171*b + 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 1434025 - -532?\nAnswer: 1434560","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1834576, -3669137, -5503698, -7338259, -9172820?\nAnswer: -11007381","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1722*s**2 + 1719*s**2 + 1784*s**2 + 1732*s**2 - 6923*s**2.\nAnswer: 34*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 1 + 9 + -2 + 2. Suppose -6*o + h = -o. Let c(d) = -4*d**2 + 1 + 8*d**o + 0*d**2 - 2*d. Let t(k) = k**2 - k + 1. Give c(x) - 3*t(x).\nAnswer: x**2 + x - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) be the second derivative of -h**6\/120 - h**5\/80 + h**4\/16 + 5*h**3\/24 + h**2\/4 - 6*h - 1. Factor i(x).\nAnswer: -(x - 2)*(x + 1)**3\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 58018574 to the power of 1\/3, to the nearest integer?\nAnswer: 387","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Divide 36 by -9.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Are 0 and -31\/2319508 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.05 + 0.13. Let n = a + -0.080011. Round n to five dps.\nAnswer: -0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -453 - -456. Suppose -3*q + 5 + 19 = 3*v, 0 = -2*v + 2*q + 4. Suppose -29 = -5*n + 66. Solve -v*o + 5 = -b*i, i - 4*i - n = 2*o for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 11 - 4. Let n = -79 + 84. Calculate the remainder when x is divided by n.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -68143557, -136287113, -204430669, -272574225, -340717781, -408861337?\n\"Answer: -68143556*x - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-10929105)\/(-21))\/5 - (-8)\/28 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 188346*q**5 + 76488*q.\nAnswer: 3766920*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*b**2 - 174 - 359 + 268 + 265.\nAnswer: 5*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 2, 0, -228, 1 in descending order.\nAnswer: 4, 2, 1, 0, -228","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((n*n*n\/((n**(-1\/5)\/n)\/n*n)*n)\/(n\/n**(2\/7)))\/(n*n*n**(4\/7))**(5\/6))**(2\/17) assuming n is positive.\nAnswer: n**(164\/595)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*f = 25*f + 20*f - 2883. Calculate the remainder when 326 is divided by f.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 7.29 and -4.\nAnswer: -29.16","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 1663606 times 4?\nAnswer: 6654424","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 301997 take away 200?\nAnswer: 301797","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (36 + 0)\/6*2*4\/16. Let c(q) be the second derivative of q**k + 0 - 22*q + 0*q**2 + 1\/4*q**4. Factor c(u).\nAnswer: 3*u*(u + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = 2*j**2 - 2*j. Let g = 93 + -96. Let o = 7 - -8. Let s be (3\/o)\/(2\/10). Let k(a) = a**2. Give g*k(m) + s*p(m).\nAnswer: -m**2 - 2*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12805*k - 25617*k + 12822*k.\nAnswer: 10*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -31\/14 and 61\/329.\nAnswer: 658","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -443cc - -2?\nAnswer: -443ca","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 8\/(-3)*1\/4?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = k + 4 - 2 + 2*k**2 - 2. Let f be u(3). Let t = -9 + f. What is the highest common factor of t and 108?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 24014 + -101?\nAnswer: 23413","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1551 and 423.\nAnswer: 141","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 4 and 556?\nAnswer: 556","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 50 a factor of 96700?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -13*z + 9*z + 424. Calculate the greatest common divisor of 159 and z.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 220742?\nAnswer: 2, 19, 37, 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -d**4 + 157*d**3 - 768*d**2 + 1220*d - 608 = 0 for d.\nAnswer: 1, 2, 152","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 0\/(3 + (75\/(-25))\/((-6)\/(-2))). What is l in 2\/7*l**2 + s*l**3 + 0 - 2\/7*l**4 + 0*l = 0?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -1974a7 + 0?\nAnswer: -1974a7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12 = 2*t + t for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 75*r - 13 + 8 + 5 = 0. Solve 16*i + 29 + 99 = r for i.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 49\/35 + 2\/(-5)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) be the second derivative of -1\/30*z**5 + 0 - 8\/21*z**2 + 4\/9*z**3 + 1\/63*z**6 - 1\/7*z**4 + 62*z. What is b in i(b) = 0?\nAnswer: -2, 2\/5, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify j\/(j**(-11)\/j)*j*j\/(j*j*j*j**(4\/9)*j*j) assuming j is positive.\nAnswer: j**(86\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -3, 1 in decreasing order.\nAnswer: 1, -1, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 6195 - 6143. Calculate the greatest common factor of 4004 and h.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 356\/421051 at most as big as -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1734271 to the nearest integer?\nAnswer: 120","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -963 - -967 - ((-2 - 1) + 110 - -1)\nAnswer: -104","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 389453140 rounded to the nearest 1000000?\nAnswer: 389000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide (6\/(-15))\/((-20 + 13)\/663845)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = -z**3 + 5*z**2 - 6*z + 5. Let q = 13 - 9. Suppose -5*f + g = -22, 0*f + 2*g - q = -2*f. Determine r(f).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(2) - 4*sqrt(10)\/sqrt(5)) + -1 - (sqrt(2) + -1 + 4 - (1 + sqrt(72))).\nAnswer: -3 + 2*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find b, given that -b**3\/7 + b**2 + 10*b\/7 - 16\/7 = 0.\nAnswer: -2, 1, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 35*p + 119*p**2 + 2 + 2 - 35*p.\nAnswer: 119*p**2 + 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -699380*l**4\/3 - 3944919088*l**3\/3 + 533058957*l**2 - 8467139*l\/3 + 11282\/3 = 0 for l.\nAnswer: -5641, 1\/374, 2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 38 minutes after 2:41 PM?\nAnswer: 3:19 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.57 - 0.33. Let d = -1.1 + q. Suppose -3*t = -3*w + 21, -2*t - 8 = 2*w + 2*w. Which is the third biggest value? (a) t (b) d (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 52 divide 1045088?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = 59*h - 2. Suppose 3*b = -b + 4. Let u be k(b). Let l be 2*(-2)\/4*-38. What is the greatest common factor of u and l?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -14.2 - -13.9. Let n = -10 - -8. Put 0.5, t, n, 5 in descending order.\nAnswer: 5, 0.5, t, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t - 28 = -8. What is the fourth biggest value in t, 0, -11, -3?\nAnswer: -11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -48637 = -5*y + b, y - 4*b = -4*y + 48643. Is y a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -n = -2*k - 8, -k + 5*n + 1154 - 1167 = 0 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-11*w - 39 + 39)*(2 + 1 + 1) - 3*w + w + 4*w + (-w + 1 - 1)*(1 - 1 - 2).\nAnswer: -40*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor o**2 + 14*o - 72.\nAnswer: (o - 4)*(o + 18)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4063887.\nAnswer: 3, 43, 10501","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m - 286 = -5*u + 577, 0 = -5*u - m + 859. Suppose -5*k = -n + u, -3*n - 23 = -k - 592. What is the units digit of n?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20*k - 231 = -k + 2*k. Suppose -z - 20 = -6*z. Put 3, 0, k, z in increasing order.\nAnswer: k, 0, 3, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or -11730762?\nAnswer: -11730762","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 10022 - -11201102112?\nAnswer: 11201112211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-12)\/(-66)*(-1)\/2*(-42931)\/(-6133).\nAnswer: -7\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {y: 3, f: 1, h: 1, m: 3, a: 3}. Give prob of sequence maa.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -3026712 or -3026714?\nAnswer: -3026712","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = -2*m**2 - 4 + 5*m**2 + 2*m - 4*m**2. Let r be t(3). Let b(k) = 4224*k**2 - k + 17. Let u be b(r). Round u to the nearest 10000.\nAnswer: 210000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = p**2 + 23*p - 63. Calculate u(13).\nAnswer: 405","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = 2*s. Suppose 5*p = 4*p + 4. Let d be k(p). Solve 3*g + g - d = 0 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -771.414 and 1.\nAnswer: -771.414","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 26609162 and 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -1*(9\/(-6))\/((-33)\/(-22)). Sort -6, 45, n.\nAnswer: -6, n, 45","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 69 minutes after 7:44 PM?\nAnswer: 8:53 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 4916*w**2 + 12*w + 223?\nAnswer: 9832","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 18632129 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = -9115*q + 45575. Give m(5).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 10, 4, -8, -26, -50, -80, -116?\nAnswer: -158","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 > -1564\/927467?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*k + 5*a = 13, -k - 18 = -5*a + 11 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) be the third derivative of -g**6\/120 + g**5\/60 + g**4\/6 + g**3\/2 - g**2. Let v be t(-2). Is ((-22)\/8)\/(v\/(-84)) a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1266*o + 1248*o = 180 for o.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: (-24)\/(-8)*1\/(-7)\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = 19*r**2 + 2*r + 6. List the prime factors of y(4).\nAnswer: 2, 3, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find u such that 496*u**4 - 65868*u**3\/7 + 386964*u**2\/7 - 93632*u - 19200\/7 = 0.\nAnswer: -25\/868, 3, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 9.4181548 rounded to 0 dps?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = -4*p + 14. Suppose -s + 2 - 1 = -a, 3*s - 2*a = 4. Let b(m) = m - 6 + 5 + 0 - s. Let v(z) = 14*b(z) + 3*h(z). Let t(j) = j**2 + 7. Determine v(t(i)).\nAnswer: 2*i**2 + 14","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4463 + 4463 + 77*h)*(-9*h**2 - 56*h + 56*h).\nAnswer: -693*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1801 is divided by 538?\nAnswer: 187","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 10 in 0, -0.1, -5, -2\/3495, 2\/9?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 13058?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 m and 1 s when three letters picked without replacement from mmfsvmr?\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 112, 124, 146, 184, 244, 332, 454, 616?\n\"Answer: j**3 - j**2 + 8*j + 104","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1.1 + 7.7. Let w = -0.5 + j. Let c = 6.03 - w. Are -1 and c non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 a factor of 1939978875?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 15 - 17. Suppose 2*v - 3*i - 11 = 0, -3*i = -4*v - 2*i + 7. Is v less than n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find z such that -8745084243*z**3\/5 - 8744760297*z**2\/5 + 323943*z\/5 - 3\/5 = 0.\nAnswer: -1, 1\/53991","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = -x**3 + 22*x**2 - 2*x + 50. Let b be m(22). Let h be (-11)\/(11\/(-12)) - 2. Let y = b + h. Is y a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 14 = 4*v - 6. Solve 0 = -v*h - 16 + 6 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = -7*n + 27. Suppose -4*v + 116 - 112 = 0. Let h be p(v). Solve 5*k + 13 + 22 = 4*i, -h = -4*i for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -14 + 1. Let j be q\/(-3) + 3\/(-9). Solve -j*l = -2*l + 2 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 31 + -7. Let w be 61\/92 - 18\/m - 0. Which is the biggest value? (a) 0.3 (b) -0.3 (c) 3 (d) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = n**2 - 4*n - 1. Let b be y(5). Suppose 0 = 4*m - 12 - b. Let c(k) = k**3 + 7*k**2 + 4*k + 4. Calculate the least common multiple of m and c(-6).\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 (base 16) in base 2?\nAnswer: -110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = 546*n + 105. Let m(a) = -182*a - 30. Let i(k) = -2*j(k) - 7*m(k). Let f(q) = q. What is f(i(l))?\nAnswer: 182*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -2 + 4. Suppose -k*r = 3*r. Let q(i) = i**3 - i**2 - i. Let l be q(-1). Which is smaller: l or r?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1327515877 and 797.\nAnswer: 797","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4 - -5) + 6\/(-2)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*t**4 - 2335*t**3 - 227*t + 4.\nAnswer: 24*t**2 - 14010*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 26*r - 55 = 618 - 23. Find the common denominator of r and -2\/10219.\nAnswer: 10219","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 552646 to the power of 1\/9, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 12651683923 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is h in -4*h**3 - 48*h**2 - 68*h + 360 = 0?\nAnswer: -9, -5, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pl when two letters picked without replacement from bilpiiblllbbpi.\nAnswer: 4\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) be the third derivative of h**8\/42 - 3*h**7\/35 + h**6\/30 + 4*h**5\/15 - h**4\/2 + h**3\/3 - 10*h**2. Solve c(l) = 0.\nAnswer: -1, 1\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -73090753 divided by -3.\nAnswer: 73090753\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20*q + 496 - 376 = 0 for q.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 3168 and 54.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -4*2559\nAnswer: -10236","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 130 minutes before 8:09 AM?\nAnswer: 5:59 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = -8*v**3 + 5*v**2 - 35*v + 5. Let u(z) = -4*z**3 + 2*z**2 - 17*z + 2. Let y(s) = 2*h(s) - 5*u(s). Is y(7) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 192 divide 684765551?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = -6*j**3 + 3*j**2 + 3*j - 4. Let n be h(-5). Suppose -5*g - r + 6123 = 0, -4*r = -2*g - r + 2456. Let q = g - n. Is q prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine s, given that 27*s**3 + 227*s**2 - 143*s**2 - 6*s**4 - 21*s**5 - 36*s - 36*s**4 - 12*s**4 = 0.\nAnswer: -2, 0, 3\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) be the third derivative of 0*m**3 + 1\/20*m**4 - 13*m**2 + 0*m + 0 + 1\/100*m**5 - 1\/200*m**6. Factor n(p).\nAnswer: -3*p*(p - 2)*(p + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.04 - -0.36. Let i = h + -0.4. Let a = 1.6 - 2. What is the closest to 1 in i, a, -0.5?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 516aa + -1?\nAnswer: 516a9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 564 a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -22 + 36. Let f(n) = 2*n**2 + 2*n. Let g be f(-2). Suppose -3*x + 53 = g*k + u, 13 = x - 4*k. What is the remainder when 38 is divided by x?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 12*j + 2)*(-4*j - 1 + 7*j + 3*j).\nAnswer: 72*j**2 - 12*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 33939.68 micrograms in nanograms?\nAnswer: 33939680","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2 + 1 = o, 425*g - 9 = 428*g - o for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.03 - 3.97. Let k(z) = -z - 22. Let m be k(-4). Let s be 20\/m*54\/(-45). Which is the closest to 2\/5? (a) -0.4 (b) s (c) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 41, 1, -235, 5114, 3 in descending order.\nAnswer: 5114, 41, 3, 1, -235","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b + 3*i = -7*b + 57431, -5*i = -2*b + 57455. Is 2\/3 - b\/(-48) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: (2\/(((-204)\/2210)\/((-99)\/(-275))))\/(3\/(-5))\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 6, 5\/6, -2, -0.4.\nAnswer: -2, -0.4, 5\/6, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = n. Let p(g) = g - 3. Let o(f) = -16*f + 17. Let w(r) = o(r) + 6*p(r). Determine -w(h) - 3*y(h).\nAnswer: 7*h + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -1466, -1463, -1460?\n\"Answer: 3*j - 1469","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 12204820393 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange u**3 + 51*u**2 + 210951*u + 7 + 0*u**3 - 210952*u to z*u**3 + l + i*u + q*u**2 and give l.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2*2*((-690)\/(-100))\/(318\/(-265))?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in 3, 0, -1\/306, 4, -2, 32, 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 442 - 311. Let n = 249 - b. Factor n*v**2 + 3*v - 119*v**2 - 1 - 3*v**3 + 0 + 2*v**4.\nAnswer: (v - 1)**2*(v + 1)*(2*v - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -37303 + 37306. Let q(p) = -8*p + 17. Let z(x) = -4*x + 8. Calculate t*q(h) - 5*z(h).\nAnswer: -4*h + 11","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -53896 or 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -566 - -381. Let y be l\/(-280) - 2\/7. Which is the nearest to -0.1? (a) y (b) 3 (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 258841?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -85*h**2 - 7210*h + 7214*h + 487*h**2.\nAnswer: 402*h**2 + 4*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 13529882 a multiple of 511?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = -606*n + 7870. Calculate s(13).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express (8 + 10 - 11)*(4*r**3 + 9*r**3 + 5*r**3) in the form d*r + u*r**2 + j*r**3 + v and give j.\nAnswer: 126","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express (142 - 142 + 16*b)*(-6*b + 3*b - 2*b)*(3*b - 3*b - 2*b**2) + 43*b**4 + 171*b**3 - 171*b**3 as r + i*b**3 + g*b**4 + v*b + h*b**2 and give v.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = -3*q - 1. Let p be f(3). Let c(r) = r**2 - 94*r + 433. Let n be c(5). Let i be -1*(-6)\/n*p. Let k(w) = w**3 - 4*w**2 - 6*w + 4. What is k(i)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 98*q**3 - 997696*q**2 + 2543264928*q - 20282317056 = 0. Calculate q.\nAnswer: 8, 35604\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = k**3 + 7*k**2 + 18*k + 23. Let f be s(-3). Let w be (-48)\/(-10) + 2\/10. Solve -3*z = 2*g + 8, 0 + f = -w*g for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1472 and 46.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 14, 16, 18, 20, 22?\n\"Answer: 2*j + 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -22220221200 (base 3) in base 4?\nAnswer: -222320211","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 499, -3.\nAnswer: -3, 0, 499","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 9265009 to the nearest integer?\nAnswer: 210","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = 5*p**2 - 2*p**2 + p**2 - 2*p**2. Let l(a) = 8*a**2. What is l(d(m))?\nAnswer: 32*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 28\/783 and -83\/1305.\nAnswer: 3915","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g = -3*r + 78, -5*r + 8*g - 9*g = -104. Let c be (33\/6 - 2)*8. Suppose -2*o = 2*o - c. What is the remainder when r is divided by o?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 z and 1 p when three letters picked without replacement from {p: 2, z: 9}?\nAnswer: 24\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = -9*o. Let g(y) = 8*y + 2. Calculate n(g(u)).\nAnswer: -72*u - 18","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 0*2\/(-12)*-3. Suppose j = 3*n - 6, -j - 3*n - 2*n + 10 = f. Let m = -4.2 + 0.2. What is the second biggest value in m, j, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = -50045*j + 100094. Calculate d(2).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (20\/8 - 1)*-2. Is p less than or equal to -21\/11?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = -133*b**3 + 12*b**2 + 19*b + 18. Let t be d(-13). What is t rounded to the nearest 10000?\nAnswer: 290000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = d + 1. Let g(p) = -22*p**2 + 72*p + 54. Let y(q) = 6*f(q) - g(q). Let c(j) be the first derivative of y(j). Differentiate c(k) with respect to k.\nAnswer: 44","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 22511307745 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = 6*c + 16. Determine a(-11).\nAnswer: -50","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -13063 + 12012.7. Let p = -1157 - x. What is p rounded to 0 decimal places?\nAnswer: -107","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 h and 2 l when three letters picked without replacement from {h: 3, l: 9}?\nAnswer: 27\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w - d - 2 = 6, 0 = -w - 2*d - 6. Suppose x = 5*a - 15, -3*a + w = 2*x - 5*a. Suppose 5*t = -m + 10, t - x*m + 6 = -18. Solve 0*h + t = h for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 5 and -40426417?\nAnswer: 40426422","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert 341859.8 days to seconds.\nAnswer: 29536686720","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1559964 and 6.\nAnswer: 1559964","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = 2*b**2 + 16*b - 35. Calculate m(2).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-f - 4*f + 3*f)*((-3 + 3 - f)*(3 - 2 + 0) + 2*f + 3*f - 4*f - 2*f + 4*f - 3*f + (1 - 3 + 1)*(0*f + f + 0*f) - 1 - 2*f + 1 - f + 0*f + 0*f).\nAnswer: 10*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -213 - 203 + 43704*v**2 + 416 - 7756*v**2.\nAnswer: 35948*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is -28068874 greater than or equal to -28068878?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 7994?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hhwtotwiiihihkt. What is prob of picking 1 o and 1 i?\nAnswer: 4\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -15 times 462\nAnswer: -6930","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.2 times 282585?\nAnswer: -56517","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -55 in -2\/7, 0, 9, 3?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 16 + 22. What is the tens digit of k?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(26)\/(sqrt(72)*6).\nAnswer: sqrt(13)\/36","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 3.96 - -0.04. Which is the second biggest value? (a) -0.01 (b) -2 (c) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -2\/21 + 43\/231. Put y, -1, -0.5 in ascending order.\nAnswer: -1, -0.5, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 11\/(-4) - 2\/(-2). Let w = -47.9 - -48. Which is greater: c or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 26103 (base 9) in base 11?\nAnswer: 12232","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 2025584482 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nmgq when four letters picked without replacement from ngqmnmwg.\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -f + 2 + 1. Let y = -226 + 230. Suppose y*b = f + 25. What is the remainder when 34 is divided by b?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 641961479 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 22 - -1 - (0 - -16) - (43 + 5 + -1)?\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1809329 = -4*r + 104*r - 3520871. What are the prime factors of r?\nAnswer: 2, 29, 919","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1289 smaller than -1300?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 24260*b**3 - 676*b**2 + b + 51382390.\nAnswer: 72780*b**2 - 1352*b + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 10.61 + -10.614091. Round z to 4 decimal places.\nAnswer: -0.0041","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 29347547.4000042 - 29347544. Let g = t + -3.4. Round g to 6 decimal places.\nAnswer: 0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = -5*t + 108. Let s(n) = -14*n + 326. Calculate -8*g(h) + 3*s(h).\nAnswer: -2*h + 114","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 175080?\nAnswer: 2, 3, 5, 1459","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: ((-27)\/((-1080)\/(-544)))\/(10\/(-25))*12\/(-8)\nAnswer: -51","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.97305 to one dp.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 12 + -8. Let l be (-21)\/18 + (14 - 1445\/102). Which is the third smallest value? (a) 0.3 (b) x (c) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 15*o + 32*o + 37*o in the form w*o + r and give w.\nAnswer: 84","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = 274*m**3 - 6*m**2 + 9*m + 1. Calculate b(1).\nAnswer: 278","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a = -3*r - 87, -3*a - 3*r = -2*a - 3. What is the remainder when (957\/(-22)*6\/27)\/(7\/(-21)) is divided by a?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.4252 rounded to two dps?\nAnswer: -1.43","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -455 = 141*x - 176*x. Let q(v) = 2*v**2 - 6*v - 6. Let m be q(5). Which is greater: m or x?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = 2*k**3 + 32*k**2 - 57*k - 394. What is r(-17)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:49 PM and 9:32 PM?\nAnswer: 463","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ui when two letters picked without replacement from iuyiiuyyii.\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1.1 or 53\/6?\nAnswer: -1.1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -82, -115, -162, -229, -322, -447, -610, -817?\nAnswer: -1074","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -g + 5*z + 19, 4*g + 23 = -4*z + 3. Which is smaller: -1\/2 or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 18464937, 18464936, 18464933, 18464928?\nAnswer: 18464921","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 144 a factor of 146736?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Add -0.0753 and 79.1855214.\nAnswer: 79.1102214","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 104 + -108. Let q be (-10)\/f*(-5)\/((-35)\/28). Solve k = -2*c - k - q, -2*k - 10 = c for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.02508 to two dps.\nAnswer: 0.03","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1122962.\nAnswer: 2, 439, 1279","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 4823 and 17101.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*g**4\/7 - 1386*g**3 - 88330*g**2\/7 + 78822*g\/7 + 19220\/7 = 0.\nAnswer: -961, -10, -1\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(704)*1 + -2 - sqrt(704)) + 4 + 1*sqrt(704) + -2)**2.\nAnswer: 704","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3220*i + 3293*i - 1825 for i.\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Product of -1847.2 and 0.02.\nAnswer: -36.944","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*b - 10, 3704*d - 4*b - 8 = 3700*d for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*z + 5*s + 24 = 0, z - 24 + 36 = -51*s + 53*s for z.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -134730*t + 134737*t - 3*a - 2 = -13, -2*t - 33 = 3*t + a for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -32579 - -53462152\/1641. Which is smaller: -1 or z?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1275 divided by 425.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 42034596 to the nearest integer?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find g, given that -2*g**5\/5 + 278*g**4\/5 - 7042*g**3\/5 + 4282*g**2\/5 + 12708*g - 61056\/5 = 0.\nAnswer: -3, 1, 3, 32, 106","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 3190776841 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = -37*i + 14. Let x be q(2). Let p = x + 65. Suppose -2 = 2*g, -j - 3*g + p*g = -10. Solve s + 3*s = j for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-47)\/(-94)*4\/(-5).\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -32245 + 53558. Is g prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 4616556 and 33854744?\nAnswer: 101564232","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -8*g + 75?\nAnswer: -8","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1334*v - 369*v - 243*v - 248*v - 246*v - 244*v.\nAnswer: -16*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f - 5*m - 45 = -f, -8 = 2*f - 4*m. Let d = f - -14. Suppose 4*z = 2*c + 100, -110 = -d*z - 5*c + 2*c. Calculate the remainder when z is divided by 9.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = -c**3 + 11*c**2 + 13*c - 2. Let j be n(12). Suppose -4*k - j + 178 = 0. What are the prime factors of k?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n + 5*p = 2 + 4, -2*n - 2 = 5*p. Suppose -w + i - 152 = -2*w, -n*i = 5*w - 765. What is the hundreds digit of w?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.01 in -0.2, -12, 0.2, 0.5?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u**4 + 1520*u**3 + 110870*u**2 - 706800*u + 1081125 = 0. Calculate u.\nAnswer: -155, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 137\/38 or 5?\nAnswer: 137\/38","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((s**30*s)\/s*s)\/s**(-33))\/((s**(-2\/37)\/s)\/(s**(-3\/8)*s*s)) assuming s is positive.\nAnswer: s**(19737\/296)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 5811225?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -122*i - 290*i + 410*i.\nAnswer: -2*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = 2*n**3 - 89*n**2 + 29*n - 3331. Let o be v(45). Is o greater than 2\/34711?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -13*l**6 + 3*l**2 + 52.\nAnswer: -1560*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 6640?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 477176525?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = 19*r + 10. Suppose 2 = 2*p - s - 6, -s = 0. Let u be o(p). Let d = u + -51. Is d a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000023423 rounded to seven decimal places?\nAnswer: -0.0000234","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1244555.\nAnswer: 5, 13, 41, 467","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-9*j**2 + 3*j**2 - 7*j**2 - 2*j)*(1 + 1 + 1).\nAnswer: -39*j**2 - 6*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -27 = -3*h - 24*h. Put h, 2\/3, 6\/7, -5 in decreasing order.\nAnswer: h, 6\/7, 2\/3, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 959757 to the nearest integer?\nAnswer: 980","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h - 17 - 63 = 0. Let a be (h\/14)\/(5\/(-35)). Suppose 3*p - 19 = -5*g, 0 = 2*g - 5*p + p + a. Solve -3 - 1 = g*x for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 50 - 50. Let i(b) = -b**3 - 3*b**2 - 2*b - 1. Let q be i(-3). Suppose q*o - 4 - 26 = a. Solve 3*z + o = -0*z for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(2\/9)*r\/r**(-2\/11))\/((r*r**1)\/r)**(5\/14) assuming r is positive.\nAnswer: r**(1451\/1386)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 1.4 and -0.11?\nAnswer: 1.51","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 110*l - 114*l + 2928. Let i = l - -169. Is i a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 200852*c**2 - 2*c + 102721 wrt c.\nAnswer: 401704","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is -915534 bigger than -915532?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 3404273?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w + 132 = -80. Suppose -2*y = 3*i + 3*y - 46, 0 = 4*i + 5*y - w. Let v = i + 7. What is the least common multiple of 32 and v?\nAnswer: 224","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 833267 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*c + 6*c + 0*c)*(-1 + 2 - 2) - 48 + c - 2*c + 59 + 0 + 0 - c + (-2 + c + 2)*(1 + 1 - 4) + c + 3*c - 2*c.\nAnswer: -4*c + 11","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = -16*t**2 + 3*t. Let v(y) = -208*y**2 + 40*y. Let k(o) = 40*s(o) - 3*v(o). Let u(w) = -19 + 1428*w - 699*w - 715*w + 19. Give u(k(m)).\nAnswer: -224*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -273 - 2.52757?\nAnswer: -275.52757","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.11, 4, 0 in descending order.\nAnswer: 4, 0, -0.11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) be the second derivative of 0*j**5 + 0*j**3 + 0*j**7 - 9\/56*j**8 + 0 + 0*j**2 - 9*j - 19\/3*j**4 - 1\/10*j**6. Find the third derivative of o(w) wrt w.\nAnswer: -1080*w**3 - 72*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*h + 4*v = 30, 53678 - 53654 = -4*h + v for h.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: (90\/(-1740)*-58)\/((-2)\/18)\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 9648 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b - 2 = b. Let u be (-1)\/b + 7\/(-14). Let y be (-10)\/(u - 4) - -156998. What is y rounded to the nearest ten thousand?\nAnswer: 160000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = 9 - 8*s - 14 - 5*s + s + 7. Suppose -5*w + 5 = 20. Determine l(w).\nAnswer: 38","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -202840548*d - 124911633 wrt d.\nAnswer: -202840548","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -2\/105 (b) -0.1 (c) -4\/7 (d) 0 (e) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 3 + 0. Let z(y) be the third derivative of 0*y**s + 0 + 0*y - 1\/90*y**5 - 2*y**2 + 1\/36*y**4. Determine w, given that z(w) = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5 = -9*z - l, 0 = 49*l - 53*l + 20 for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*w + 145 - 57. Let c = 24 - w. Solve -2*u = -u - c*r - 1, 4 = 4*r for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 359.95 and 0.013.\nAnswer: 359.963","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-312)\/9)\/((-3)\/(-9)). Let m = 147 + k. Does 24 divide m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2417 is divided by 39?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = 2*v. Let q(r) = 32*r**3 - 15*r. Determine 4*m(d) + q(d).\nAnswer: 32*d**3 - 7*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1614 + -717. Let n = o + -384. What is the third derivative of -n*v - 5*v**6 + 3*v**2 + 513*v wrt v?\nAnswer: -600*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/20 of a litre in millilitres?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -519, -1042, -1565, -2088, -2611?\nAnswer: -3134","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*m + 3*m = -3*t + 42, -5*m = -2*t - 77. Let g be (-7)\/(-5) - m\/(-25). Calculate the greatest common factor of 2 and g.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/3? (a) -248 (b) 2\/3 (c) -1\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 77117 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = -4*k, y + 4*k = -3*y + 8. Suppose -c - c + 8 = y. Solve -4*a - 3 = q, -4*q - 2 = -c*a - 10 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b + 40 = -2*g + 6, 0 = -4*b - g + 27. Suppose -b*s + 362 - 2 = 0. Does 15 divide 276\/10*s\/63*7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (0 - (0 - 1))*1. Let b = 40 - i. Is b composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in seventeen quarters of a meter?\nAnswer: 4250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 0 + 121?\nAnswer: 121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = 8*u**2 - 28*u + 80. Suppose 34*f - 5*y + 19 = 37*f, -15 = -2*f - y. Is w(f) a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 29 + -8. Suppose -y = -6*y + 3*c - w, 5*c = 4*y + 9. Let j(b) = -b**2 - 5*b + 8. Let r be j(y). Solve r*p = 7*p - 2*l - 11, -2*p = 4*l + 10 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1163 - -2231. Let c = 129226\/121 - b. Which is smaller: c or 1?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {z: 1, u: 6, i: 7}. What is prob of picking 1 i, 2 u, and 1 z?\nAnswer: 15\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-266)\/14)\/(1\/(-5)). Which is bigger: s or 94?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/5, -3, -37, 18, -5, -0.026 in descending order.\nAnswer: 18, -0.026, -2\/5, -3, -5, -37","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand n**4 - 5*n**4 + 2*n**4 + (-3*n + 2*n + 0*n)*(2*n**3 - 4*n**3 + n**3) - 19*n**4 - 12*n**4 - 50*n**4.\nAnswer: -82*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does -1\/12 = -115\/2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -38738 - 20.9.\nAnswer: -38758.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -419468474.5 take away -0.15689?\nAnswer: -419468474.34311","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 16 a factor of 672?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 6637 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 13 + 404514?\nAnswer: 404527","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -36 - -39. Let c(u) be the first derivative of 3 - 2*u**2 - 1\/3*u**a - 4*u. What is c(-4)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:37 AM and 1:13 PM?\nAnswer: 156","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = 19*d - 8*d - 9*d - 142 - 15*d. Let i be r(-11). What is the closest to 1\/3 in 1\/5, 2, i?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 439 + -2761?\nAnswer: -2323","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*-1*(-6*(-4 + 3*sqrt(171)) + (sqrt(171) - (-1*sqrt(171) + -4))**2 + -4*(sqrt(171) - sqrt(171)*1)).\nAnswer: -3620 + 30*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5*o + 5*o - 3*o**3 + (6*o - 3*o - o - 1)*(-o**2 - 2*o**2 + 2*o**2) to the form p*o + g*o**2 + j + x*o**3 and give x.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 968093 to the power of 1\/8, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 8, 27, 44, 59, 72?\n\"Answer: -r**2 + 22*r - 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m - 33 = 71. Suppose m*s - 10*s - 16 = 0. Solve -2*g - s + 7 = 0 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 15 + 15525?\nAnswer: 15542","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 26141 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1 + -2. Let l = 12 - 13.2. Let f = 5.2 + l. Which is the second smallest value? (a) -2 (b) t (c) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*t - 6*t + 3*t)*(1 + 2 + 19*t**2 - 21*t**2).\nAnswer: 6*t**3 - 9*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 557809 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.5073 + 0.7073. Let v = -14.6 + 0.6. What is the nearest to 1 in r, v, 1\/11?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = -6*q + 2. Determine m(4).\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.268 + -0.068. Suppose 5 = -2*s - f, 5*s + 4*f - 3*f = -8. Let i be ((19 + -3)\/4)\/s. Which is the nearest to 1\/3? (a) g (b) 0.4 (c) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -l**2 - l - 2*l**2 + 0 - 4*l**2 + 15 in the form w*l**2 + t + a*l and give w.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 divided by -36093?\nAnswer: 1\/12031","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = 21 + 7*b - 3*b - 5*b. Let m be h(9). Differentiate 24 - 6 - 9*y**4 - m with respect to y.\nAnswer: -36*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let h = 21837 + -21834. Factor -2\/5*t**4 + 2\/5*t**2 + 0 + 1\/5*t - 1\/5*t**5 + 0*t**h.\nAnswer: -t*(t - 1)*(t + 1)**3\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.3, -2\/21, -11\/5, -2, 3 in decreasing order.\nAnswer: 3, -2\/21, -0.3, -2, -11\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-42)\/4 + 6\/(-4). Let a(t) = -t - 20. Let s be a(p). Let k(b) = -b**2 - 11*b + 6. Let q be k(s). Calculate the highest common divisor of q and 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = 11*u + 3. List the prime factors of r(11).\nAnswer: 2, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 42*((-9)\/18)\/(1\/(-15)). Suppose j - 25 = a. Is 10 a factor of j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = 10*s. Let y(k) = k + 3. Let l be y(3). Let m(o) = -3*o**2 - o**2 + l*o**2. Give d(m(x)).\nAnswer: 20*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g - 28 = -i, -2*i + 9 = i. Let h(n) = -2 - n + 6 + 5. What is the units digit of h(g)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (6\/(-7)*1)\/((-780)\/(-728))?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 21598?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -323, -3, 0.03, 0.1, 4\/95 in ascending order.\nAnswer: -323, -3, -1, 0.03, 4\/95, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*r**2 - 128028*r - 74673360.\nAnswer: 4*(r - 32580)*(r + 573)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = 0*x - x - 6*x**2 + 2*x**2 - 2 + 3*x**2. Let n = -1 - 3. Let v = n + 8. Let q(l) = l**2 + l + 3. Calculate v*q(m) + 5*a(m).\nAnswer: -m**2 - m + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((0 - 47) + 1)*(-12 + 13). Let r = -99 - n. What is r rounded to the nearest 10?\nAnswer: -50","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 2*n + 0 - 3)*(1 + 0 - 3).\nAnswer: -4*n + 6","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*r**3 - 19*r**3 + 25*r**3 - 5617*r - 1535*r.\nAnswer: 13*r**3 - 7152*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -390*s + 510*s - 279*s.\nAnswer: -159*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is -50\/3 >= -0.05?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*b - 5*b - 6. Suppose -4*v = -4*k + k + b, 5*v - 8 = -4*k. Suppose k*x - 5*x + 18 = 0. What are the prime factors of x?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 258\/4386 + (-22)\/(-204).\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5621941379 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 123217817.\nAnswer: 123217817","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -52825 (base 9) in base 2?\nAnswer: -1000100001110110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.5, 0.2, -0.81, -0.09 in decreasing order.\nAnswer: 0.5, 0.2, -0.09, -0.81","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 144, 32, -154, -414, -748, -1156?\nAnswer: -1638","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3)\/(1*1*8\/2).\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = -41*k**2. Give m(-1).\nAnswer: -41","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 40208011 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 12073269?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -36354, -36510, -36770, -37134, -37602, -38174?\n\"Answer: -52*t**2 - 36302","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*(0 + sqrt(1331)))**2 + (1 + (2 + sqrt(11) - sqrt(11)) + 1)**2.\nAnswer: 47932","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = 641*d + 12170. Calculate m(-19).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 19705?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3 in -0.2, -0.7, 4, 2\/13?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = -d**3 + 6*d**2 + 13*d + 24. Let g be y(8). What is the nearest to 2\/3 in -1, 12, g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 129ba (base 12) to base 6\nAnswer: 314354","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.001787378906 rounded to six decimal places?\nAnswer: 0.001787","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 773?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g + 0*g - 14 = -2*m, -g = -4*m + 19. Suppose 0 = 2*c - 2, -3*c - 2*c - 10 = 5*l. Sort m, l, -1 in descending order.\nAnswer: m, -1, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(1\/15)*p*p*((p\/(p**10\/p))\/p)\/p*p*p)\/((p\/((p\/(p**(-1\/3)*p)*p)\/p*p*p))\/p)**(-9) assuming p is positive.\nAnswer: p**(-404\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 16412?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = -4*d**2 - 3*d - 4. Calculate o(-1).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f**(-2\/3)\/f**(-1\/6))\/(f**(-2)*f\/(f\/(f*f*f**(-6)))))\/(f**(-5)\/(f\/(f*f**(-4)*f)))**(25\/4) assuming f is positive.\nAnswer: f**(111\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -1, -4\/7, 27.1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 4588 - -712. Is 190 a factor of v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -63097, -126225, -189353, -252481, -315609, -378737?\n\"Answer: -63128*z + 31","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k - 34 = -2*f, -2*k + 2*f + 12 = 4. Let g(c) = c**3 + 3*c**2 - 164*c + 111. Let d be g(11). Sort d, -4, k in increasing order.\nAnswer: -4, d, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1970202 divided by 507?\nAnswer: -3886","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-12)\/(-6)*(-4)\/(-2)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 39121 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7015*z - 23 = 7019*z - s, -7*s = 5*z + 37 for z.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 64\/(-16)*(-2)\/8.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 373 - 372.99999707. What is a rounded to six dps?\nAnswer: 0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gfgc when four letters picked without replacement from {f: 1, c: 1, h: 1, g: 5, l: 3, i: 1}?\nAnswer: 1\/594","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 13 + -28. Let h = m + 11. Let t(l) = -4*l + 5. Let i be t(h). Solve 4*o = -5*c + i, 5*c + 5*o - 31 = -6 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 25005820 is divided by 211?\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d + 138 = -2*d. Suppose 5*k = -8*k - 2184. Let q = k + 176. Calculate the lowest common multiple of q and d.\nAnswer: 184","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = 5*t**2 + 3*t + 1. Let a(y) = -y**2 + y + 1. Give 2*a(u) + p(u).\nAnswer: 3*u**2 + 5*u + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -130\/9 - -928\/63. Let p = -17.5 - -12. Let l = p + 5.2. What is the biggest value in l, 0, f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.1, 20, 25 in decreasing order.\nAnswer: 25, 20, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) be the third derivative of h**5\/30 - 11*h**4\/12 + 4*h**3 + 12*h**2. Let f be c(10). Determine m, given that 29 + 36 - f*m**2 - 65 = 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2748332, -10993317, -24734958, -43973255?\nAnswer: -68708208","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 1\/(-3)*6\/(-8) and -34 + -13 + -3 + 12 + -3.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -43442, -173692, -390788, -694730, -1085518?\nAnswer: -1563152","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-20)\/(-40))\/(1\/(-6)). Let c(y) = -2*y + 4. Let v(a) = 2*a - 3. What is j*v(n) - 4*c(n)?\nAnswer: 2*n - 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1063369 rounded to 2 dps?\nAnswer: -0.11","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express -55*d - 102*d + 110 + 109 - 220 as a*d + x and give x.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is -287132 bigger than -287115?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.35 - -0.17. Let h = y + 0.1799728. Round h to five decimal places.\nAnswer: -0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/5? (a) 0.687 (b) -1\/5 (c) 7 (d) -4\/9 (e) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*u - 4*k + 9 = -3*u, 3*u = -4*k + 15 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 53718.\nAnswer: 2, 3, 7, 1279","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -352 = -5*h + h. Suppose h + 318 = -7*v. Let w = 124 + v. What is the units digit of w?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = 10*d**2 + 146*d + 707. Determine s(-7).\nAnswer: 175","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3742 is divided by 299.\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -8 - (18 - (19 - 17)) - 12\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) be the third derivative of -s**8\/504 - 4*s**7\/15 + 19*s**6\/20 - 43*s**5\/45 + 528*s**2. Let v(j) = 0. What is j?\nAnswer: -86, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:34 AM and 7:52 PM?\nAnswer: 678","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*g - 7*g - 4*b = 85, -2*g = b - 125. Calculate the highest common factor of g and 702.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = 229*r**2 + 6440*r - 11. Is 104 a factor of x(-33)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = 0 - 5*f - 5 + 10*f - 4*f**3. Suppose k = -2, 6*c - 19 = c - 3*k. Let x(l) = -l**3 + l - 1. Calculate c*x(t) - w(t).\nAnswer: -t**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Does 17 divide 1758212?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*b**5 - 2077*b**4 + 1039*b wrt b?\nAnswer: -40*b**3 - 24924*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = -j**2 - 28*j - 189. Let t be i(-14). Let n = -30 + 58. Calculate the greatest common factor of t and n.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-76*l + 148*l + 141*l)*(2*l - 2*l - 2*l)*(-4*l**2 - 2 + l**2 - l**2).\nAnswer: 1704*l**4 + 852*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r + 59 - 11 = 0. Suppose -2*q + 64 = -r. What is the greatest common divisor of q and 66?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -5025 - -5101. Solve -82*h = -b*h for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 2, w: 11, a: 1, m: 3, j: 1}. Give prob of picking 2 w.\nAnswer: 55\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l\/(l**2*l*l))\/l*l*l**(3\/5))\/(l\/l**(-2)*l**(-1\/2))*l**(-6\/11)\/(l*l*l**0)*((l*l**(1\/4))\/l)**(-2\/57) assuming l is positive.\nAnswer: l**(-23369\/3135)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2141616067.\nAnswer: 103, 20792389","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 13*j**2 + 1569*j**3 - 29*j**2 + 4696*j**3 + 13*j**2.\nAnswer: 6265*j**3 - 3*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 122 + -116. Let u(g) be the second derivative of -g**4\/12 - g**3\/2 + 3*g**2 - 5*g. Let y be u(-4). What is the highest common divisor of y and b?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 53 - 29. Let l(x) = -x**3 + 9*x**2 - 5*x - 3. Let s be l(7). Calculate the highest common factor of s and a.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = -t**2 - t + 1. Let k be s(-1). Let w be 3 - (k - 1 - 0). Solve 0 = -y - 5 + w for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -34 - 50 - -17 - (10 - 4)\nAnswer: -73","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00018889286 rounded to 7 dps?\nAnswer: -0.0001889","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 4\/29 (b) -1\/4 (c) 33.1 (d) -4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -20*d**2 + 1295 - 1295.\nAnswer: -20*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m**0*m)**44*(m\/(m*m**(2\/3)*m*m))**33)\/((m\/m**(-1))**(-4\/5))**(-2\/47) assuming m is positive.\nAnswer: m**(-10356\/235)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*m**2 + 26 - m**2 + 0*m**3 - 4 + 3*m**3.\nAnswer: 3*m**3 - 5*m**2 + 22","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1334*p = -1309*p + 175 for p.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-2)\/150)\/(4\/24*-1). Let d(c) = c**3 + 5*c**2 + 3*c + 1. Let t be d(-4). Suppose -n + t*n = -4. Are n and w non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 99.36760184613 + 4\nAnswer: 103.36760184613","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1296 and 192.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1025766 and 14994?\nAnswer: 882","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 2 + -74?\nAnswer: -72","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 2337055 divided by -35\nAnswer: -66773","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v - 4*v = -6. Let c(i) = -3 - i**2 + i**2 + 3*i + 4*i**v. Is c(2) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 21 a factor of 685443200?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3)\/18 - -46*(-1)\/12.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -14*j**4*v - 6*j**4 - j*v + 50*j + v wrt j.\nAnswer: -168*j**2*v - 72*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 39 + -14. Let c = k + 4. What is the tens digit of c?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*s = 5*s + 12. Calculate the remainder when 9 is divided by s.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -547\/665 + 3\/133. Which is the nearest to 1? (a) -0.5 (b) 3 (c) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1133200310 (base 4) to base 16.\nAnswer: 5f834","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -38 + 15 - -77 - (0 + -34)\nAnswer: 88","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.4 and 11440?\nAnswer: -4576","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qrqrrqrr. What is prob of picking 2 r?\nAnswer: 5\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) be the first derivative of k**4\/4 - 4*k**3\/3 + 5*k**2\/2 - 2*k - 273. Let g be 23\/21*3 - (-6)\/(-21). Give s(g).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -81904, -81905, -81906?\n\"Answer: -d - 81903","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.003737536298 to four dps.\nAnswer: -0.0037","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*y = -3*y + 5 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*p - 3*q - 569, -3*p + 286 = -p - 2*q. Let m = 138 - p. Which is the third biggest value? (a) -1 (b) m (c) 0 (d) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 275 or 274?\nAnswer: 275","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 64 a factor of 815489?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6 = -10*x + 61 + 33 for x.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -6165 + -0.042\nAnswer: -6165.042","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -37, -222, -529, -958?\nAnswer: -1509","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -3573 + 3578. Let g(w) be the second derivative of w**3 - 7\/2*w**2 - 1\/2*w**4 + 0 + 1\/20*w**5 + 3*w. What is g(h)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 139124, 278253, 417396, 556559, 695748, 834969, 974228, 1113531?\nAnswer: 1252884","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j + 2 = -4*j. Let g = -1822 - -1821. Which is the biggest value? (a) j (b) 0.2 (c) g (d) -2\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -35, -81, -211, -467, -891, -1525, -2411, -3591?\n\"Answer: -7*r**3 + 3*r - 31","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f - f = -18030. Suppose 21*n = 6*n + f. What are the prime factors of n?\nAnswer: 601","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-30)\/8)\/(((-4525)\/195480)\/((-4)\/18))?\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 113.08 + -108.08. Let o(i) = -i**2 + 5*i - 1. Let f be o(4). Which is the second smallest value? (a) t (b) -3\/4 (c) f (d) -0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 62329418 to the nearest integer?\nAnswer: 7895","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -58479295*m**2 + 897*m - 16042 wrt m?\nAnswer: -116958590","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -22 or -1229087?\nAnswer: -1229087","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 6757759 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -2*4\/8*1\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 223 - 153. Suppose 2*n - 2*a = w, -4*n = 4*a - 7*a - 142. Let u = -22 + n. Is u prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + -1 + sqrt(72))**2 + (sqrt(72) - (-5*(0 + sqrt(72)) + sqrt(72))**2).\nAnswer: -1064 - 42*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 612 minutes after 7:55 AM?\nAnswer: 6:07 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*b**2 + 0 + 0 - 85*b + 85*b + 20*b**2 + (2*b - b - 2*b)*(0 + 0 - 2*b) - 2*b - 28*b**2 + 59*b**2 - 2 + 0.\nAnswer: 51*b**2 - 2*b - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-9733*u**3 - 3509*u**3 - 15987*u**3)*(u**2 + 1 + 3 - 5).\nAnswer: -29229*u**5 + 29229*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*r**4 + 2*r**4 + 3 - 1)*(-9 + 9 + 13*r).\nAnswer: 91*r**5 + 26*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 6241478 smaller than 6241478?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = -h**2 + h + 4. Let s be v(3). Let y = s + 0. Let r be (-6)\/3 - 8\/y. Solve 5*d - r*d + 12 = 0 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in one sixteenth of a kilogram?\nAnswer: 62500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = r**2 - r + 3. Let a be w(0). Let i(p) be the first derivative of -2\/5*p - 2\/15*p**a + 2\/5*p**2 + 1. Factor i(u).\nAnswer: -2*(u - 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b - 10*b + 18 = 0. Suppose -b*u = -10*u. Suppose 3*m + 2*m - 120 = u. Is m a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-552)\/(-18) + -1 + 1\/3. Let z be n\/(-20)*10\/3. What is the remainder when -15*6\/(-9) - z is divided by 6?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/8 of a millennium in years?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -60*k + 1281933 = -6*k - 716499. Is 24 a factor of k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*l - 0 + 10. Let i(k) = 0*k - 4*k**2 + 5*k**2 + 3 - k - l. Let u(t) = -t**3 - 2*t**2 + 2*t - 2. Calculate -2*i(p) - u(p).\nAnswer: p**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert 24543 (base 8) to base 12.\nAnswer: 616b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = z**2 - 10*z + 1. Let n be a(10). Suppose 0 = 2*l - 3*d + n + 5, -5*l - 4*d = -8. Suppose -h = -r + 3, -4*h + 0*h + 12 = l. Solve -j - 4 = -r for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 33580 divided by -3358?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 166873*a**2 + 166880*a**2 - 7*a**3 + 5*a**3 - 500618*a**2 + 166865*a**2 + 15.\nAnswer: -2*a**3 + 15","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in 5, 25, 0.5, 2?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.1375344 to 1 dp.\nAnswer: 0.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the seventh smallest value? (a) 2\/5 (b) -1 (c) -1\/8 (d) -0.018 (e) -0.3 (f) -4 (g) 3\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 101 minutes before 2:37 PM?\nAnswer: 12:56 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 15877 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 123 minutes before 8:27 PM?\nAnswer: 6:24 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = -t**3 + 10*t**2 - 12*t. Let w be x(8). Find the common denominator of (6\/w)\/((-6)\/(-332)) and 107\/10.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 735 and 7189966?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 50 = -2*w + 4*w. Suppose -2*y + 18 = 3*o - 5*y, 4*o - w = 5*y. Solve -5 = -i + 2*v - 1, o*i + 3*v + 6 = 0 for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 90602522, 181205039, 271807556, 362410073, 453012590, 543615107?\nAnswer: 634217624","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) be the first derivative of i**2\/2 + 10*i - 14. Let d be f(-4). Let s be (d\/8)\/(-1 + 41\/8). What is the closest to -2 in s, -0.5, 0?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = -3*i**2 + 2*i - 4. Let c be q(0). Is 12 a factor of (2 + 10)\/(-4)*c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -376 = 2*b - 1426. What is the units digit of b?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 489027 and 493899.\nAnswer: 396600897","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = -20*q - 148. What is c(-7)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1315.\nAnswer: 5, 263","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*m - 44 + 8 = 0 for m.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.040580764 rounded to 4 decimal places?\nAnswer: -0.0406","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 3\/10 - (-2784)\/320. Suppose -8 = -3*h + h. Suppose 2*f = 3*b - g, 8*b - 13 = h*f + 3*b. Solve 4*n - f*s + 35 = 0, -3*n + 0*n = -2*s + 25 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s - 1377 = -3*j, 2*j - 448 = 5*s + 453. Is j a multiple of 36?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 402382074?\nAnswer: 2, 3, 67063679","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -5875*w**2 - w - 1999?\nAnswer: -11750","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -55 - -83. What is the highest common divisor of l and 112?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 20717159 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence en when two letters picked without replacement from ehnhzecnbbzcnhn.\nAnswer: 4\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 divided by 150416.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = -l**3 - 7*l**2 + 8*l + 7. Suppose 4*k = -220 + 432. Suppose u + 61 - k = 0. Determine a(u).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = 4*k - 362. Let s(n) = 3*n - 246. What is 5*j(v) - 7*s(v)?\nAnswer: -v - 88","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = 11*v - 2. Let x be q(2). Suppose b + x = 6*b. Calculate the greatest common factor of b and 28.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 3 - 3 - -2*(-44)\/(-8). Sort 2, r, 1, -4.\nAnswer: -4, 1, 2, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ur when two letters picked without replacement from rururuuu?\nAnswer: 15\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-10)\/(-4)*(-6)\/(-5). Suppose -4*u + 155 = m*x, -4*x = -0*x - 4*u - 216. Calculate the remainder when x is divided by 28.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.96 and 8.2?\nAnswer: 7.872","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = 6567*g**2 - 3116. Let v(f) = -13137*f**2 + 6232. Let i(r) = -13*t(r) - 6*v(r). What is the first derivative of i(j) wrt j?\nAnswer: -13098*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -3*k*x**3 - 7*k*x**2 - k*x wrt x.\nAnswer: -18*k*x - 14*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) -3 (b) -2\/193 (c) 2\/19 (d) 207\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -54\/651655 and 91\/83190?\nAnswer: 3909930","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-388)\/(-2) - (-24)\/(-12). Suppose -10*f = -6*f - l. Is 18832\/f + (-8)\/6 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = -r + 7. Let u be y(3). Suppose -22 = -2*m + 4*t, m - 31 = -u*m - 2*t. Let a be 79\/m - 2\/7. What is the greatest common divisor of 33 and a?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 10 + 852679\nAnswer: 852689","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*z**4 + 222268*z**3 - 444552*z**2.\nAnswer: 4*z**2*(z - 2)*(z + 55569)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 682 and 8?\nAnswer: 2728","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l - 6 = -o - 1, -4*l = -4*o + 20. What is the third derivative of w**o + 11*w**4 - 4*w**5 - 11*w**4 + 2*w**2 wrt w?\nAnswer: -180*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-9)\/6)\/(49\/14). What is the biggest value in g, 2\/3, -5?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 55*s**3\/6 + 637*s**2\/6 + 178*s\/3 + 22\/3 = 0. What is s?\nAnswer: -11, -2\/5, -2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express -4 + k**2 - 15*k + 2 + 15*k in the form z + a*k + r*k**2 and give a.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -93 - 59 + 211 - 572*p**2 - 59.\nAnswer: -572*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1782 and 1904562.\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p + 5*x - x + 28 = 0, 4*p + 5*x = -17. Let u = -3 + 3. Let f = 8 - 0. Solve -p*m = -u*m + f for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 17840583 to the power of 1\/2, to the nearest integer?\nAnswer: 4224","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(304) - (sqrt(304) + 1 + 2)) + (sqrt(304) - (sqrt(304) + -1 + 5)))**2.\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: (-7 - (-13 + -2)) + (-26 - (-4 + -4))\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 5, 29.2, 3\/4, -1\/2, -49 in decreasing order.\nAnswer: 29.2, 5, 3\/4, -1\/2, -3, -49","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -98, 0.07, -4\/7, 3\/4?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Work out -2 * -41.\nAnswer: 82","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 + 1 - 6)*(0 - 2 + 3)*(-2 + 3 - 2)*(13*m - 7*m - 5*m).\nAnswer: 2*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -4036.277 + 0.41114?\nAnswer: -4035.86586","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -22 - -145. Let h = -30730 - -30761. Calculate the remainder when v is divided by h.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -4*r**2*y**2 + 3*r**2 + 1516*r*y + 497*y**2 + 38*y wrt r.\nAnswer: -8*r*y**2 + 6*r + 1516*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1.3, -1, 3, -3, -196740, 12.\nAnswer: -196740, -3, -1, 1.3, 3, 12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is b + 11b02?\nAnswer: 11b0d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = -8*x**3 - 3*x**2 - 10*x - 3. Give z(-2).\nAnswer: 69","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o - 60 = -3*f + 4*f, 4*o = 4*f + 48. Is (-60)\/o*(-8)\/3 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = -2*o**2 + 4*o - 1. Suppose 15*g = 16*g - 21. Suppose 5 = -4*r + 2*l - 9, -3*r - g = -5*l. Let a(j) = -6*j**2 + 13*j - 4. What is r*a(q) + 7*p(q)?\nAnswer: -2*q**2 + 2*q + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -23.456 + 21.4. What is y rounded to 2 dps?\nAnswer: -2.06","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(684) - -1*sqrt(684)*1) + (sqrt(684) + (-2 + sqrt(684))*-4 - sqrt(684)))**2 - ((-1 + sqrt(684))*4 + sqrt(684) - 6*(sqrt(684) + 1))**2.\nAnswer: -312*sqrt(19) + 2016","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) be the second derivative of d**5\/20 + d**4 + 5*d**3\/3 - 11*d**2\/2 + 3*d + 11. Give o(-11).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = k**3 + 18*k**2 + 818*k + 11580. Calculate r(-15).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is -6449\/10071 greater than or equal to 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5 + 12 - 32*p**2 - 3 + p - 2 + p**3 - 6*p**3 to the form i*p + l + x*p**3 + k*p**2 and give x.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 84 + 7. Let q = s - 47. Suppose 0 = 5*n - n - q. What are the prime factors of n?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = -9*x - 1. Let n be p(-1). Let y be (-6)\/18 + n\/(-3). Let s be 0 - (-8)\/4 - y. Solve 0 = -s*m + 1 - 11 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = 8749*f**2 + 3*f - 2. Let w be b(2). Suppose 4*a - 13493 - 14507 = c, w = 5*a - 3*c. What is a rounded to the nearest ten thousand?\nAnswer: 10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*v + 2*v + 2*v)*(8*v**2 + 2*v**2 - 3*v**2)*(-v - 3*v + 3 - 4) to the form y*v**3 + m*v**2 + u*v + h*v**4 + o and give h.\nAnswer: -56","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 110110011 - -1100?\nAnswer: 110111111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = -153744*d - 6. Let s(q) = 2*q + 1. Let c(a) = j(a) - 2*s(a). Let p be c(4). What is p rounded to the nearest 100000?\nAnswer: -600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1 + 1. Let v(l) = 4*l**2 + 6*l + l**3 + 0*l**3 - t*l**3 - 1. Let g be v(5). Sort 2, 0, g in increasing order.\nAnswer: 0, 2, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 71067 is divided by 5463?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is (-957)\/6*(-2370)\/11455?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 77, 19, -187, -625, -1379?\nAnswer: -2533","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 1139, 1175, 1235, 1313, 1403, 1499, 1595, 1685?\n\"Answer: -g**3 + 18*g**2 - 11*g + 1133","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 316, 439, 562, 685?\n\"Answer: 123*r + 193","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g + 6 = -5*b + 3*b, -4*b + 3*g + 2 = 0. Solve -b*c - 1 + 7 = 0 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-3)\/6)\/((-29)\/(-232))?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1393 + 4713. What is the hundreds digit of q?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2114018 by -2114018.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -47 in -61, 2\/21, -3, 0.047, 1\/5?\nAnswer: -61","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -44 + -1 - (17 + -20). Let n = -47 - h. Let f(k) = -k - 4. Give f(n).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from essssesszee. What is prob of picking 3 e and 1 z?\nAnswer: 2\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 + 4 + (-7 - (-12 + 6)).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 2*b**2*j**2*z + 2*b**2*j - 549*b**2*z - 31*b**2 - b*j**2 + 206*b*j wrt z.\nAnswer: 2*b**2*j**2 - 549*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (j**2 - j**2 - j**2)*((-3 - 1 - 5)*(3*j + 0*j - j) - 2*j - 1 - 1 + 0) to c*j**2 + v*j + t + y*j**3 and give c.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find m, given that 5*m**3\/4 - 377865*m**2\/4 + 377855*m\/2 = 0.\nAnswer: 0, 2, 75571","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6*(8 - 475\/57).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 9\/1012 and 73\/8096.\nAnswer: 8096","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express 87*s**2 - 25*s**2 - 31*s**2 + 59*s - 22*s**2 as j + p*s + t*s**2 and give p.\nAnswer: 59","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 1, d: 11, z: 4, i: 1}. Give prob of picking 1 z and 1 m.\nAnswer: 1\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p\/p**(-15))\/(p*p**(1\/9))*(p\/(p**(-18)\/p))\/p**(-1\/3) assuming p is positive.\nAnswer: p**(317\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 - 0 - 6 - (65 - (-68 - -149))?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = -1689*j**2 + 9*j. Let v(t) = 5066*t**2 - 24*t. Give -8*o(b) - 3*v(b).\nAnswer: -1686*b**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (5*x**3 - 3*x**3 + 0*x**3)*(-5*x - 14 + 14)*(-1 - 2 + 1) to the form d*x**3 + o*x + l*x**4 + v*x**2 + u and give l.\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 n and 1 b when two letters picked without replacement from nddbdthhxddtxddxhh.\nAnswer: 1\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*s + 16 + 2799. Is s a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = -2*c**3 - 3*c**2 + 2. Let u = -57 - -69. What is the least common multiple of u and n(-2)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i - 11 = -2*i + 4*j, 5*i + j = 13. Let m be (12\/(-10))\/((-2)\/5). Let z(o) = 3*o**2 - o - 2*o**m + o**3 + 1 + 0*o**3 + o**2. Determine z(i).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 14\/13? (a) -5 (b) 0.4 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -1\/3 (b) -3\/2 (c) -2\/15 (d) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = 5*y**2 + 22*y - 39. Let q be l(-6). Are q and -12 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.3 in -21\/8, -0.1, 0, 4?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -159 + 158.066. Let s = -0.044 - i. What is s rounded to one decimal place?\nAnswer: 0.9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 914 at least 913?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + 0 + sqrt(13) + 4 + -5)*-3.\nAnswer: -3*sqrt(13) + 9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 191 is divided by 51?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j + 6 = 3*n, -n = 2*n - j - 6. Suppose -n*m = 1 + 5. Let h be -2*m\/(24\/124). What is the greatest common factor of h and 93?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4549470 to the power of 1\/3, to the nearest integer?\nAnswer: 166","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*g - 14*g = -34 - 22 for g.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 13218829\/217 + -60916. Calculate the common denominator of f and 37\/31.\nAnswer: 217","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 36 (base 8) to base 13.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:01 AM and 4:12 AM?\nAnswer: 251","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -1241 divided by 322\nAnswer: -1241\/322","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j + 4*i = -25, 0*j - 2*i = -j + 15. Suppose -j*s + 4*h + 3972 = 0, -5*s - 32*h + 29*h + 3951 = 0. Is 12 a factor of s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1 + 1. Let r be -1*(y - -1) - 1. Is (r\/8)\/((-2)\/172) a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = -s**3 + 4*s**2 - 15. Let g be p(4). Is 17 a factor of 6\/g + (-1362)\/(-5)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 480*v + 879*v + 0*v + 190*v as c*v + o and give c.\nAnswer: 1549","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9572*m - 9663*m + 3 - 2 - 4 + 4.\nAnswer: -91*m + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:59 PM and 5:12 AM?\nAnswer: 373","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) be the second derivative of 0 + 1\/2*c**3 - 1\/2*c**2 - 3*c. Differentiate r(f) with respect to f.\nAnswer: 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -54*c - 41 = 83 + 308 for c.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n - 244 = -4. Suppose 2*r + 2*i = 6*i + 480, -2*r - 2*i = -474. What are the prime factors of (n\/(-21))\/(4\/r)?\nAnswer: 2, 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = l**3 - 6*l + 4. Let x be w(4). Suppose 2*y + 14 = 2*t, 0*y + 4*t = -4*y - x. What are the prime factors of (12\/y - -3)*3?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -270*a**3 + 6*a + 43*a**3 + 262*a**3 + 4*a**2 to the form l*a**3 + t*a**2 + y + s*a and give t.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 46190115 and 1975?\nAnswer: 395","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t + 5*r - 7682362 = 1518133, 0 = -5*t + 4*r + 9200504. Round t to the nearest ten thousand.\nAnswer: 1840000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 57330 a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 3994045?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 124.09 + -124.19. What is the closest to -6 in 2\/3, s, -0.2, -6\/13?\nAnswer: -6\/13","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2295663?\nAnswer: 3, 17, 45013","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 236, 922, 1994, 3452, 5296?\n\"Answer: 193*z**2 + 107*z - 64","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) be the second derivative of 16*s**5\/5 - s**4\/6 - 101*s**3\/6 - 111*s. Find the second derivative of q(r) wrt r.\nAnswer: 384*r - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + -1 + sqrt(288))**2.\nAnswer: 48*sqrt(2) + 292","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -12630.0214 rounded to the nearest integer?\nAnswer: -12630","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-9 + (-8 - -19))*7\/2.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 35 = 2*d + 5*y, 0*y = -5*y + 25. Solve -d*x = 2*c - 0 - 6, -x + 6 = 2*c for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 48\/20 - (-2)\/(-5). Suppose 14 = u*p - c, 3*p - 22 = p - 3*c. Calculate the smallest common multiple of p and 5.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor j**2\/4 + 164833553*j + 27170100194603809.\nAnswer: (j + 329667106)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: (100\/550)\/((-319)\/121)\nAnswer: -2\/29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 5 or 37654?\nAnswer: 37654","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*z + 67 - 49. Let h(b) be the second derivative of 0 + z*b - 1\/3*b**3 - 7\/12*b**4 - 1\/5*b**5 + 1\/2*b**2. Let h(t) = 0. Calculate t.\nAnswer: -1, 1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 387 - 387 - 192*x**3 + (4*x**2 - 5*x**2 + 3*x**2)*(0*x - x + 0*x) + 0*x**2 + 0*x**2 - 2*x**3.\nAnswer: -196*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -44318363.0000685 - -44318744. Let f = z + -381. What is f rounded to 6 dps?\nAnswer: -0.000069","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = 4*t**2 + t - 2. Let u be k(2). Suppose p + 3*p = u. Let o(n) = -421*n - 52200. Let f be o(-124). Solve 5*z = -2*y - 33, f*z + 8 = -p*y - 28 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16441 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = 179*n + 703. Let y be p(0). Solve -42 = -697*c + y*c for c.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -94 + (-121 - -247) + (-77 - 2).\nAnswer: -47","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (-2601)\/(-6885)*15*(-6)\/(-14)\nAnswer: 17\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 34297 a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*s + q = 5, -2 = 3*s - 1168*q + 1164*q for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -178120, -178391, -178852, -179503?\nAnswer: -180344","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f*f**(-7)*(f\/(f**4\/f))\/f)**(28\/3) assuming f is positive.\nAnswer: f**(-84)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = -130*w + 253*w - 129*w. Suppose -l - 5*g + 4 = -18, -g - 2 = -3*l. Let f(c) = l*c - 5*c + c + 3*c. What is b(f(m))?\nAnswer: -6*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand 432970*w**4 - 418698*w**4 + w**3 - w**3 + (-1 - 1 + 1)*(4*w**3 + w**4 - 4*w**3).\nAnswer: 14271*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 34*h**3*j**3 - 2*h**3*o*x**2 + 4*h**3*o + 7*h**2*j**2*x - h**2*o*x**2 - 76*j**3*o - 3*j*o + o*x**2 wrt h?\nAnswer: 204*j**3 - 12*o*x**2 + 24*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1 - (24 - 1)) + -9 + 6?\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (41 + -1)\/(2\/4). Suppose -4*v - z = -0*m + 5*m, -5*m = 20. Suppose n = 3*t + 14 - 22, 4*n + 60 = -2*t. Which is bigger: n or v?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (28512\/120)\/27*((-170)\/51)\/((-2)\/(-3))?\nAnswer: -44","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: ((-6)\/4)\/1*12\/6\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 131*w + 685*w - 138*w.\nAnswer: 678*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -99, -87, -87, -99, -123, -159?\nAnswer: -207","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 340931888?\nAnswer: 2, 11, 29, 66797","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + -3 + 4*sqrt(96)\/sqrt(2)*6 + 5)**2.\nAnswer: -384*sqrt(3) + 27652","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m*m\/(m\/(m**0\/m))*m)\/m)**(-5)*m\/(m\/m**3*m)*m\/((m*m*m**12\/m)\/m) assuming m is positive.\nAnswer: m**(-9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -22742 or -18856?\nAnswer: -22742","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 3 - (-2 + -6 - (-6 - (6 + -8)))\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 1\/3 (b) -1\/2 (c) 4 (d) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-8*r**2 + 7*r**2 + 15*r**2)*(-60*r - 2411 + 2411) - 3 - 5*r**3 + 3.\nAnswer: -845*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.08 and 46.\nAnswer: -3.68","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6 (base 13) to base 8.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = -1225*x + 2430*x - 172 - 1212*x. Give a(-25).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 34\/5 of a litre?\nAnswer: 6800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l - 28 = 12. Solve 3*u - u = -2*b - l, -3*b - 9 = -3*u for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 12134 and 8.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20*q - 25*q = -130. Solve 30*j = q*j - 16 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 336283385 + -336283446.0000037. Let c = -61 - l. What is c rounded to 6 decimal places?\nAnswer: 0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 144015871.\nAnswer: 144015871","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -4 - -9. Let u = 469 + -465. Solve t*q - q = u for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*u + 327 = 4*z + 308, u - 13 = -3*z for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -265 - -266. Which is the smallest value? (a) s (b) 0.5 (c) -1238\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3010228 divided by -3\nAnswer: 3010228\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ss when two letters picked without replacement from sjsqxjss.\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -10 minus 7551541?\nAnswer: -7551551","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in fifty-three quarters of a litre?\nAnswer: 13250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 15626 + -15601. Is -2\/35 < b?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 748 and 3332.\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) be the second derivative of 0 + 0*m**5 + 0*m**6 + 0*m**2 + 13\/12*m**4 + 0*m**3 + 18*m + 1\/3*m**7. Find the third derivative of z(j) wrt j.\nAnswer: 840*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 28569, 57149, 85729, 114309, 142889, 171469?\n\"Answer: 28580*v - 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(sqrt(34)\/sqrt(2))**2 - 1*sqrt(68)\/sqrt(4).\nAnswer: -sqrt(17) + 17","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-13 - -16)\/(6\/4).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) be the first derivative of 130 - 6*j**2 - 1\/3*j**3 - 5*j. What is d(-12)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 286520.\nAnswer: 2, 5, 13, 19, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8212274.\nAnswer: 2, 7, 431, 1361","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8888*o - 1147 = -8851*o for o.\nAnswer: -31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(-3))**(-5\/6) assuming h is positive.\nAnswer: h**(5\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + sqrt(15)\/sqrt(5))**2 + 4 + 6*(1 + sqrt(9)\/sqrt(3)).\nAnswer: 16*sqrt(3) + 38","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.49 less than 4.1?\nAnswer: 5.59","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 3230\/6031 - 8\/163. Let o = -3335892523\/49 - -229742951469317\/3374630. Let l = o + -3\/6887. Find the common denominator of n and l.\nAnswer: 370","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11895601 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) be the second derivative of -55*o**4\/12 + 51*o**2 - 39*o. Find the first derivative of v(r) wrt r.\nAnswer: -110*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1340, 1362, 1392, 1424, 1452, 1470?\nAnswer: 1472","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 14 - 38. Let m = 0 - n. Suppose m = -l + 2*l + 2*q, -4*q - 120 = -4*l. Does 16 divide l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 73, 76, 79, 82?\n\"Answer: 3*t + 70","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -0.5 times -13772\nAnswer: 6886","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 48899?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = -b + 9. Let c be w(5). Let x(y) = -y**2 + y + 13. Let f be x(c). Let q(z) = -7*z**3 - z**2 + 1. Determine q(f).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -0.107 and -0.6.\nAnswer: -0.707","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 1501385 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from egggeggggggg. Give prob of picking 2 g and 1 e.\nAnswer: 9\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 12827585788 - -0.066?\nAnswer: 12827585788.066","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 55*l + 3768 + 1368 = -266*l for l.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((u\/u**(-25))\/((u**(-1\/15)*u)\/u))**(-22))**(-1\/46))**(-1\/9) assuming u is positive.\nAnswer: u**(-187\/135)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*t + 926998*t**2 - 3*t + 926991*t**2 - 1853986*t**2.\nAnswer: 3*t**2 - 10*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 180 = -15*b + 27*b. Let c be 957\/b + (-12)\/15. What is the highest common divisor of c and 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 37, 16, -31, -116, -251?\n\"Answer: -2*j**3 - j**2 - 4*j + 44","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1780055 or -1780027?\nAnswer: -1780055","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 207 + -170. Suppose 28*u + 468 = s*u. What is the highest common factor of 156 and u?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = z**3 + 12*z**2 + z + 52. Let w be d(-11). Find the second derivative of a**2 + 9588*a - a**2 - 9774*a + w*a**4 wrt a.\nAnswer: 1944*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = j**3 - j**2 - 6. Let m be (3 - (-3 + 4))\/(4\/(-10)). Let i be d(m). Let h be 3*1\/i*(-4)\/(-3). Which is smaller: h or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.771 rounded to 1 dp?\nAnswer: -0.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = -6*y + 2. List the prime factors of c(-4).\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (9\/(-24)*68)\/(-3*(-19)\/(-38))?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = 4*w**3 - w**2 + 6*w + 6. Let f(n) = 5*n**3 - n**2 + 7*n + 7. Let a(j) = 6*d(j) - 5*f(j). Factor a(q).\nAnswer: -(q - 1)*(q + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -14831700 divided by -19015\nAnswer: 780","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -926, -929, -932?\nAnswer: -935","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 27 - 27. What is the nearest to -1\/4 in 3, 0.4, q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 13925432970*r + 4*r**2 - 13925432970*r.\nAnswer: 4*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = 110*u. Let l(m) = 37*m. Let c(h) = -3*g(h) + 8*l(h). Let s(t) = 10216 - t - 10216. Calculate s(c(z)).\nAnswer: 34*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 496 is divided by 151?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20*r - 64 = -4*r. Let j = -1 - -4. Sort -1, r, j in increasing order.\nAnswer: r, -1, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 5? (a) -14 (b) -8\/3 (c) -10 (d) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l + 4*p + 3 = -4, -2*l - 5 = p. What is the common denominator of ((-156)\/(-1170))\/((-8)\/18) and (-45)\/(-42) - l\/1?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -3.309256455 to 2 decimal places.\nAnswer: -3.31","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 17 + -14. Let f = -5 - -41. Is 2*w\/6 + f prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(7) + (-2 + sqrt(700) + sqrt(7))**2 + 1.\nAnswer: -43*sqrt(7) + 852","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 84 and 11424?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -7, -5, -477, 2, 5, -3 in descending order.\nAnswer: 5, 2, -3, -5, -7, -477","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -11122683 + 1.\nAnswer: -11122682","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 3\/14635 or 3\/2?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) be the first derivative of -d**3\/3 + 28*d - 79. Let t(s) be the first derivative of k(s). Let m(b) = -2*b + 8. What is t(m(r))?\nAnswer: 4*r - 16","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2592 or 322?\nAnswer: 322","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 598 (base 16) in base 2?\nAnswer: 10110011000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 1514 a factor of 1274477630?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = 1267*o + 5445. List the prime factors of k(18).\nAnswer: 3, 43, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0*-17703005.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 25 a factor of 375?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = b**3 + 6*b**2 + 2*b + 10. Let h be t(-6). Suppose 7 = 2*u + a + 10, -3*u = 2*a + 3. What is the third smallest value in -0.7, -3\/7, h, u?\nAnswer: -0.7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3710442.58 rounded to the nearest 1000?\nAnswer: 3710000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t + 28 = 8. Suppose -12*l - t = -16*l. Let r(m) be the first derivative of m**3 + m**2\/2 + 8. Give r(l).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = -u**2. Let r(o) = -o**2. Let s(z) = 5*n(z) - 6*r(z). Let k(h) be the first derivative of 4*h**3\/3 + 2. Give k(s(w)).\nAnswer: 4*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 4 (b) -0.121 (c) 6\/73 (d) 4.28 (e) 3\/5 (f) -0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Does 107 divide 58482?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 4.3476497 rounded to 2 dps?\nAnswer: 4.35","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (2080\/39)\/(-4)*(-3)\/(-2). Let a be (20 + m)\/(12\/4). Factor a + 16\/9*p**2 - 8\/3*p - 2\/9*p**3.\nAnswer: -2*p*(p - 6)*(p - 2)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.04767 and 0.026.\nAnswer: 0.00123942","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 45 - 2?\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1673013?\nAnswer: 3, 557671","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 6 - 4. Let f be (4\/(-56))\/(2\/16). Sort 0.1, r, f in increasing order.\nAnswer: f, 0.1, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2343861.\nAnswer: 3, 13, 23, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 37, 28, 17, 4, -11, -28, -47?\nAnswer: -68","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = j. Let o(x) = 950*x + 1 - 1901*x + 946*x - 2. Determine o(w) - 3*u(w).\nAnswer: -8*w - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = 5*y - 2. Let s be b(2). Let o(w) be the second derivative of 5*w**3\/6 - 5*w**2\/2 + 476*w. Let q(f) = 14*f - 14. Calculate s*o(m) - 3*q(m).\nAnswer: -2*m + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 406 (base 16) in base 2?\nAnswer: 10000000110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 z and 1 l when two letters picked without replacement from yddplznp.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 292057075 a multiple of 43?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -0.003162 from 1.065.\nAnswer: 1.068162","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 79510 is divided by 473.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -0.3, 7, -7, -0.1?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = -u + 12. Suppose -2*d = 3 + 3, 0 = -4*k + 4*d + 16. Suppose 0 = -l + 8 - k. What is the least common multiple of l and p(6)?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 - 1 = i. Suppose 20 = 4*u, 0*f - 62 = i*f - 4*u. Let l be ((-14)\/f)\/(1\/(-3)). Sort l, -4, 0 in increasing order.\nAnswer: -4, l, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h - 5712 = 58*v - 60*v, 4*v + 2*h = 11424. What are the prime factors of v?\nAnswer: 2, 3, 7, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 303088 and 96?\nAnswer: 1818528","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-35)\/2*(8 - 1027\/130)?\nAnswer: -7\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2473?\nAnswer: 2473","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 5? (a) -0.03 (b) -0.4 (c) 3\/8 (d) -0.5 (e) 2.8\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: (10020\/175)\/(-3) + (-12)\/((-348)\/551)\nAnswer: -3\/35","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -12 - -16. Let l be (-4)\/1 - (-12 - 24). Solve 12 = p*y + l for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 85, 172, 259, 346?\nAnswer: 433","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -4717 + 2?\nAnswer: -4715","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -2866 and -231?\nAnswer: 2635","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -17 (b) 0 (c) 0.2 (d) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = -v - 15. Let u be a(-9). Suppose -2*w + 5*w = -18. Is u at most as big as w?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) 20\/9 (b) 0 (c) -100\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 + 0 - (-76 - -78).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -2.18 + 6.18. What is the nearest to 5\/13 in i, 1, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d - 25 = 4*o + 7, 5*d + o = 52. Suppose -2*u = -d*u + 32. Which is the nearest to -0.1? (a) 0.04 (b) -3 (c) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.3805 and 7.\nAnswer: 2.6635","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 24*q - 20*q + 12. Suppose -5*t + 3*u = 10, 0 = -t + 4*u - u + 10. List the prime factors of 944*q\/(-30) + 2\/t.\nAnswer: 2, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.2 and 226?\nAnswer: -45.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert -92443 (base 10) to base 15.\nAnswer: -1c5cd","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 145, 632, 1131, 1648, 2189, 2760, 3367?\n\"Answer: l**3 + 480*l - 336","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = o**2 - 10*o - 65. Let h be v(-7). Suppose 4*u = -2*f + 58 + h, u + 59 = f. Find m, given that -113 + 63 + 578*m**2 - 88*m - 48*m + f = 0.\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-1 - 1 + 0)*(3 - 4 - 6) + 3 - 2 + 0)*(-4 - 3 - 6)*(-2*m - 4*m + 5*m)*(0 - 2 + 1).\nAnswer: -195*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12*l + 29 - 19*l - 59*l**2 + 59*l - 20*l - 10*l.\nAnswer: -59*l**2 - 2*l + 29","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = 4*h - 34. Is (-77)\/(-2) + h\/18 a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12313 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = -r**3 - r**2 - 4*r + 63. Let d be k(0). Differentiate 19*q - d*q - 50 + 24*q wrt q.\nAnswer: -20","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1509?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 1379579 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 0 - 2)*(-4 + 1 + 5)*(99*q + 4*q + 488*q + 21*q)*(5 - 4 - 3).\nAnswer: 7344*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 z, 1 w, and 1 c when three letters picked without replacement from {z: 1, c: 4, w: 2}?\nAnswer: 8\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*h - 64*h - 4043 = -5392. Let k = -7 + 10. What is the remainder when h is divided by k?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 28204 - 5?\nAnswer: 281aa","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 375.4 + -375.45. Which is greater: t or 4\/13?\nAnswer: 4\/13","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -225, -291, -397, -543, -729, -955?\n\"Answer: -20*b**2 - 6*b - 199","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r + 18*k + 13 - 21 = 21*k, 10 = -5*k. Let v(b) = b. Let f be v(9). Put r, f, 0, -3 in decreasing order.\nAnswer: f, r, 0, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*y - 26*c + 537 = 0, -4*y - 3*c + 4*c + 33 = 2*c for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 210 - ((-741)\/152 - (-3)\/(-24)). Calculate the highest common factor of 10 and p.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q = 3*q - 74. Let n = -17 + q. Suppose 4*x - 433 + n = 0. Is x a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 212*c**2 - 4*c**2 - 204*c**2 - 6*c**2 - 14*c**2.\nAnswer: -16*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 2\/7 (b) -0.3 (c) 0.4 (d) -5781 (e) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*r - 102 = 0, -4*g + 81*r = 86*r - 1815338. Is g composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 22\/(-616) + (-2)\/8. Sort 9, x, 0.3.\nAnswer: x, 0.3, 9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 1 + 5631?\nAnswer: 5632","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 453603289?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 33, 21, 11, 3?\n\"Answer: l**2 - 15*l + 47","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = 6*j - 23. Determine i(4).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o - 26 = 2*u, o - 4*u + 26 = 6*o. Let g be (o\/(-8))\/(19\/(-1672)). Calculate the greatest common divisor of 154 and g.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 14 (base 6) to base 5.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -95 at least as big as -961\/10?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z - 4*v + 48 = -6*v, -3*z - v + 36 = 0. Let c(q) = -9*q + 2. What is the remainder when c(-5) is divided by z?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = -2*v**2. Let m(x) = -15*x**2 + 10*x**2 - 5*x**2. Determine b(m(t)).\nAnswer: -200*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -23 + 19. Let f = 0.02122 - 0.42122. Let j = 0 - 0. Which is the second biggest value? (a) f (b) 5 (c) p (d) j\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 1 (b) 0.054 (c) -2\/153\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -2765.32 rounded to the nearest 100?\nAnswer: -2800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = -12471*o - 12449. What is r(-1)?\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 36a5 + -2a1?\nAnswer: 3404","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -72 - -72. Let f(t) be the third derivative of -1\/21*t**3 + 0*t**4 + s*t + 1\/210*t**5 + 0 + 3*t**2. Determine q so that f(q) = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -7 - -2a2238c?\nAnswer: 2a22385","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -111*t - 51109 - 4865 = -1093*t for t.\nAnswer: 57","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6 + 0 - 1 + (2 - 4 + 3)*(-3 + 0 + 5) + (39 - 50 - 121 + 6 - 2 - 2 + (-1 + 4 - 1)*(1 + 3 - 3) + 2 - 5 + 5 + 0 + 0 + 2)*(4 + 0 - 3))*(-4*w + w + w).\nAnswer: 234*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 26*(-5733)\/(-94640)*(-12)\/9?\nAnswer: -21\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -864 + 940. Calculate the greatest common divisor of m and 19.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1025729150.\nAnswer: 2, 5, 20514583","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0591813544 rounded to three decimal places?\nAnswer: -0.059","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 43\/264288 and -41\/224?\nAnswer: 1850016","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.9 in -35, 77\/2, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -8845, 636 in descending order.\nAnswer: 636, 0, -8845","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = -13*b**2 + b. Let f(q) = -q**2 + 11*q + 8. Let s be f(10). Let z(r) be the second derivative of r**4\/4 + 1080*r. Determine s*z(a) + 4*c(a).\nAnswer: 2*a**2 + 4*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = -o**3 + 4*o**2 + 17*o. Let r(d) = -d**3 + d**2 + d. What is -f(g) + 2*r(g)?\nAnswer: -g**3 - 2*g**2 - 15*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 166063 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 39759623 is divided by 4021.\nAnswer: 3996","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a - z = -397, 5*z + 490 = -14*a + 19*a. Calculate the remainder when a is divided by 26.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = -d**3 - 17*d**2 - 2*d - 32. Let j be z(-17). Solve -2*k = -j*r + 10, 0*k = 4*k for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 3.202 - 0.202. Sort r, 2\/11, 0.1, 1 in descending order.\nAnswer: r, 1, 2\/11, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 26498?\nAnswer: 2, 13249","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort -9, 4973, 4\/25.\nAnswer: -9, 4\/25, 4973","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3 + 3 + 20129*u.\nAnswer: 20129*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 26671244, 53342476, 80013714, 106684958, 133356208?\n\"Answer: 3*d**2 + 26671223*d + 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 1\/(-1 + 5\/4). Let u = 152 - 1066\/7. What is the third smallest value in 5, p, u?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6 + (0 - 0) + -2.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.6882258g to micrograms.\nAnswer: 688225.8","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -26852 divided by 6713.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -12.1 + 11. Let g = -1.74 + 0.72. Let s = g - y. What is s rounded to two dps?\nAnswer: 0.08","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 32192.\nAnswer: 2, 503","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 336522, 336524, 336526?\n\"Answer: 2*t + 336520","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 36 and 198.\nAnswer: 396","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = -2261*a - 2254. Calculate f(-1).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -14, 4, 5.\nAnswer: -14, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = 390093*c. Let k(y) = -2*y**2. Give k(p(t)).\nAnswer: -304345097298*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*u + 2*u - u)*(-5*u + 2*u + 4*u) + u**2 - u**2 + u**2 + (0*u - u + 0*u)*(u + 0*u - 3*u).\nAnswer: u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qbqbbbb. Give prob of sequence bb.\nAnswer: 10\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 f and 1 u when four letters picked without replacement from {e: 2, u: 4, k: 1, y: 1, f: 9}?\nAnswer: 12\/85","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -50880 divided by -631?\nAnswer: 50880\/631","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 245\/(-10) + (4 - -20). What is the fifth biggest value in -3, -19, 4, -1.7, p?\nAnswer: -19","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6100\/1098*6\/(-10)?\nAnswer: -10\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = -x**2 - 2*x + 4. Let l be s(-3). Does 8 divide (l*(-399)\/7)\/(3\/(-2))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -395 + 43 = -8*l. Suppose 2*n - 119 + 19 = r, -n + l = -2*r. Is n a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = -36*k**2 + 33*k - 3125. Let o(w) = -7*w**2 + 6*w - 624. Give 11*o(g) - 2*t(g).\nAnswer: -5*g**2 - 614","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor f**4 + 370*f**3 + 10764*f**2 + 86670*f + 76275.\nAnswer: (f + 1)*(f + 15)**2*(f + 339)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2*(-1)\/3)\/(2\/(-6)).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 439997405.\nAnswer: 5, 167, 526943","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 120672 divided by 96?\nAnswer: 1257","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is (34\/(-119))\/(3\/7)*72660\/(-865)?\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = 719*g**2. Let p(z) = 44*z**2. Determine t(p(w)).\nAnswer: 1391984*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 109, 208, 295, 370, 433, 484?\nAnswer: 523","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 27 - 22. Solve -d*t + 0 - 15 = 0 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -3511 + 3511 + 684*b in the form t*b + f and give t.\nAnswer: 684","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 25837 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*sqrt(136)*2)\/(sqrt(128)*-6).\nAnswer: -5*sqrt(17)\/12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v + 4*g - 108 = 7*g, 0 = -2*v + 5*g + 47. Suppose v*d + 25 = 26*d. Solve -d = -6*k + 1 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:17 AM and 6:47 PM?\nAnswer: 630","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -3565 or -3608?\nAnswer: -3608","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:49 AM and 5:11 PM?\nAnswer: 682","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = -2*d**3 + 3*d**2 - 38*d - 442. Give u(-10).\nAnswer: 2238","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1334.164 centuries to millennia.\nAnswer: 133.4164","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = -11*a**3 - 51*a**2 + 68*a - 6. Let l(m) = 20*m**3 + 100*m**2 - 137*m + 11. Let q(y) = 6*l(y) + 11*r(y). Solve q(x) = 0 for x.\nAnswer: 0, 2, 37","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = -54*r**3 + 7*r**2 - 3*r + 7. Let a(q) = 60*q**3 - 8*q**2 + 4*q - 9. Give -3*a(n) - 4*i(n).\nAnswer: 36*n**3 - 4*n**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 9299134448.00000067 + -9299134394. Let a = d + -54. Round a to seven decimal places.\nAnswer: 0.0000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 x when two letters picked without replacement from {h: 2, r: 5, x: 4, j: 2, o: 4}?\nAnswer: 3\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-483)\/(-63)*(2 + -1)*3. Let d = 26 - z. Solve -d*g + 2*g = 5 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 30 and 6376.\nAnswer: 95640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or -3\/11461?\nAnswer: -3\/11461","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 + (-3 + -1 - 0) + 0.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 4390 + -4390. Solve t = -15*r + 32 + 43 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*(sqrt(539) + (sqrt(539) + ((0 + sqrt(539))*6 - sqrt(539)))**2) - (sqrt(539) + (sqrt(539) - (sqrt(539) + sqrt(539) + 1)) + 1 + 2)**2) + 1.\nAnswer: 14*sqrt(11) + 38805","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -29, -5, 6, 406 in decreasing order.\nAnswer: 406, 6, -5, -29","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/3 in -1\/4, -2\/5, 3, -20?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 23\/5 - (-2)\/5. Let u be (2\/4)\/((-3)\/(-24)). Suppose -o = -u - 1. Solve 4*w + z*n + 14 = 0, -5*w + 2*n + 4 = o for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 87 + -90. Suppose 2*b + 0*b = -4. Let d = b - x. Which is bigger: 0 or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-6)\/8 - (-488)\/(-32). Let n be ((-2)\/c)\/((-2)\/(-4)). Factor 0*z - 1\/4*z**2 + n.\nAnswer: -(z - 1)*(z + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ccc when three letters picked without replacement from {c: 17, b: 2}?\nAnswer: 40\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from grsca. Give prob of sequence agr.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 244 minutes after 7:22 PM?\nAnswer: 11:26 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) be the second derivative of y**6\/60 - y**5\/15 - y**4\/24 + y**2\/2 - y. Let w(r) be the first derivative of s(r). Does 6 divide w(3)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is one fifth of a decade in years?\nAnswer: 2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify a\/(a\/(a**(-28)*a*a))*a*a*a*a**(2\/73) assuming a is positive.\nAnswer: a**(-1677\/73)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: (-6)\/((-2)\/(-20)*-3*(159 - 164))\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -10*a + 9*a + 110. Is 22 a factor of a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 30532143?\nAnswer: 3, 1103, 9227","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -5006046, -5006039, -5006030, -5006019, -5006006, -5005991?\nAnswer: -5005974","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 5021975931 a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 709, 1417, 2125, 2833, 3541, 4249?\nAnswer: 4957","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a = -q - 3 - 0, -q = 2*a - 7. Let f = 8 - 4. Let b = f + 4. Solve -25 = q*s - 2*s + 5*i, -3*i = -4*s - b for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 j and 1 q when two letters picked without replacement from {q: 13, b: 3, j: 4}.\nAnswer: 26\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert -187762 (base 9) to base 12.\nAnswer: -57a3b","meta":{"dup_signals":{},"source":"numbers__base_conversion_test"},"subset":"dm_maths"} +{"text":"Question: Let a be 8\/32*4*0\/(-1). Suppose -k = a, -3*s - 2*k = -2*s - 6. Calculate the least common multiple of s and 4.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 111 + 11100000000?\nAnswer: 11100000111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 + 0.0919.\nAnswer: -0.9081","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = 22*v + 2. Let l(h) be the first derivative of 51*h**2 - 32*h**2 - 20*h**2 + 67. Calculate t(l(i)).\nAnswer: -44*i + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12*b + 48*b - 18*b - 22*b.\nAnswer: -4*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 12204, 12199, 12192, 12183, 12172?\n\"Answer: -k**2 - 2*k + 12207","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 241228, 241236, 241248, 241264, 241284, 241308?\n\"Answer: 2*u**2 + 2*u + 241224","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -12*1*2\/(-8). Let n(t) = 7 + v + 0 - 12*t. Is n(-9) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = 3*g**3 + 23*g**2 + 17*g. Let q(t) = t**3 + 8*t**2 + 6*t. Suppose -3*a = 5*h - a + 95, -a = -4*h - 63. Let l(n) = h*q(n) + 6*x(n). Factor l(j).\nAnswer: j**2*(j + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -173 + 257. What are the prime factors of u\/9*9\/6?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1429646278.5 rounded to the nearest 10000?\nAnswer: 1429650000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 72579960 is divided by 3628997.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 95?\nAnswer: 5, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 168496?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is (-6 - (-4 - 3)) + (-1 - 5)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -53, -171, -351, -581, -849, -1143?\n\"Answer: 2*n**3 - 43*n**2 - 3*n - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) be the first derivative of -7 + 2*y**2 - 2\/3*y**3 + 2*y. Let z = 40 + -37. Let m(b) = 2*b**2 - 5*b - 3. Give z*u(n) + 2*m(n).\nAnswer: -2*n**2 + 2*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 780827 to the power of 1\/2, to the nearest integer?\nAnswer: 884","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -30950789*q**5 - 5719*q - 223 wrt q.\nAnswer: -619015780*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = -z**3 - 9*z**2 - 1. Give h(-9).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 23573866 and 289?\nAnswer: 400755722","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t = -5*l + 3, -4*t = 3*l + 24 - 28. Which is the closest to l? (a) -3 (b) 4 (c) 2\/5 (d) 2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*n - p + 8, 0 = -2*p + 3*p - 3. Let v be 5\/(-5) - n*3. What is the derivative of -1 + 2*m**2 - 2 - 5*m**v wrt m?\nAnswer: -6*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + ((3 + sqrt(425) + 6*(sqrt(425) + 1))**2 - (5*(sqrt(425) + 0))**2*6).\nAnswer: -42847 + 630*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 4 + 0. Let f be (-57)\/12 - 9\/(-12). Calculate the smallest common multiple of (f\/1 + 2)*-3 and k.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.0013 + -0.2987. Which is the biggest value? (a) 3 (b) -0.2 (c) 2\/7 (d) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) be the third derivative of -f**6\/15 + f**5\/60 - 1374*f**2. Let r(p) = p**3. Give -c(o) - 5*r(o).\nAnswer: 3*o**3 - o**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = 24*r**2 - 7021*r - 21299. Calculate w(-3).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -114*b + 430 - 26 = 88*b for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*x + 5*r - 26 = 4*r, 0 = -3*x - 2*r - 13 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 463 - 453. Let q(o) = -o + 1. Give q(h).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-26)\/(-4)*(-12)\/21*364\/104.\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 479632567 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*((2 + sqrt(125)*1)*3 - -2*(2 + sqrt(125) + sqrt(125) + 1 + sqrt(125))) + -4)**2 + 3.\nAnswer: 25200*sqrt(5) + 256264","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = 470*b - 1868. What is the tens digit of k(60)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -476? (a) 0.3 (b) -3\/7 (c) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b = -12, -2*t + 2*b = -4*t - 16. Put -3, t, 3 in increasing order.\nAnswer: t, -3, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 24 and 24.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -59\/490 and -82\/441.\nAnswer: 4410","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 60\/150*11\/((-3267)\/45)\nAnswer: -2\/33","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15*p - 84 = -6*p for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 597 is divided by 8.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1 + 1.2. Let n = 2396\/78099 + 63\/3719. Sort n, 0, i, 3.\nAnswer: 0, n, i, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8 divided by -2178.\nAnswer: -4\/1089","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1083084850?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = -1649*k + 29747. Give n(18).\nAnswer: 65","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = w**2 + 4*w + 3. Calculate j(-1).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = g - 15. Let p(b) = -b + 17. What is -3*l(j) - 2*p(j)?\nAnswer: -j + 11","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -39 divided by -255?\nAnswer: 13\/85","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = 2*x**3 + 6*x**2 + 3*x + 5. Let w(y) = -3*y**3 - 6*y**2 - 2*y - 5. Let f(m) = 4*b(m) + 3*w(m). What is f(7)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3? (a) -1\/5 (b) -0.17 (c) 1\/6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 53\/19 and -24\/1832797?\nAnswer: 1832797","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 736 and 2760.\nAnswer: 184","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*a + 2*a - a)*(12 + 1 - 3) + 2*a - 5*a + 8*a.\nAnswer: -5*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = 436*p - 43648. What is v(100)?\nAnswer: -48","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-one quarters of a year in months?\nAnswer: 63","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1152*c + 396*c + 98*c**2 + 373*c - 79*c**2 + 383*c.\nAnswer: 19*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = 2*q**2. Suppose -3*d = 4*w - 73, -d - 41 = -4*d + 4*w. Let x(j) = -6930 + 6930 - d*j. Determine s(x(u)).\nAnswer: 722*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 206350010 minus 64.9?\nAnswer: 206349945.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x*x*x\/(x**11\/x)*x**2)**(1\/28)*(x**(-1\/3)*x)**(-2\/13)\/((x**(-1\/2)*x)\/x)**(-3\/34) assuming x is positive.\nAnswer: x**(-3019\/9282)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 22*3\/(-2 + 17) and -22?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = 650*u - 50639. Give m(78).\nAnswer: 61","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = o**2 - 3*o - 8. Let t be x(5). Suppose -3*s - 3 = -0*y - 3*y, t*y = 10. Let n = 27 - 18. Solve a - s*a = n for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 3*(4\/(-6))\/(-1). Let t(x) be the third derivative of -x**4\/6 + x**3\/6 - 15*x**2 - 522. Determine t(o).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = -2*b. Let p = 19 - 3. Let q = 45 + -43. Let m(i) = 7*i - q*i - p*i. Determine c(m(s)).\nAnswer: 22*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = s**2 - 29*s + 6. Let u(h) = -h**2 - h - 1. Let d(i) = i**2 + 27*i + 37. Let b be d(-26). Let o = b - 5. Let l(v) = o*u(v) + n(v). Factor l(r).\nAnswer: -5*r*(r + 7)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(sqrt(90)\/(sqrt(4)\/sqrt(2)) - (0 + sqrt(5445))).\nAnswer: 180*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) be the third derivative of -19*j**4\/12 - j**3\/6 + j**2. Let u be s(-5). Calculate the greatest common divisor of u and 21.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -4906300 to the nearest ten thousand.\nAnswer: -4910000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-394)\/985 - (-82)\/30?\nAnswer: 7\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = -18*l - 11. Let i be v(-1). Suppose -2*j - 3405 = -i*j. Is j a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = p**3 + 3*p**2 - 3. Let o(j) = -j**3 - j**2 - 1. Let t(k) = 3*o(k) - z(k). Let q be t(-4). Let n = -770 + q. Round n to the nearest one hundred.\nAnswer: -600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((w*w**(-7\/5))\/w*w)\/w**(-8))\/(w**(2\/23)\/w*w\/(((w\/(w*(w**(-1\/9)*w)\/w*w))\/w*w)\/w)) assuming w is positive.\nAnswer: w**(5821\/1035)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = v**3 + 2*v**2 - 7*v - 8. What is the smallest common multiple of 12 and r(-3)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -14.06339 + 0.06339. Which is the second biggest value? (a) -11 (b) m (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -25 + 20 + (41 - 24) - 112?\nAnswer: -100","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or 2\/264223227?\nAnswer: 2\/264223227","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g + 2*a - 6*a = 4, 0 = -5*g + 4*a + 36. Is ((g - 6) + 12)*74 a multiple of 40?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*a - 6*a - 3*a**3 + 200*a**2 - 202*a**2 as c*a**2 + k*a + r + f*a**3 and give k.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = h**3 - 2*h**2 - h. Let p(c) be the first derivative of c**4 - 3*c**3 - 5*c**2\/2 + 6. Suppose -193*t = -200*t + 126. Calculate t*l(d) - 4*p(d).\nAnswer: 2*d**3 + 2*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*u**3\/3 - 187*u**2\/3 + 74*u\/3.\nAnswer: u*(u - 37)*(5*u - 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -25*w - 2*z + 17 = 0, -40*w + 1 = -43*w - z for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 5 and 100343368?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1218 - 3*n**3 - 1218 + 11*n**3 + 2*n**3.\nAnswer: 10*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = i**2 + 2437*i + 168. Let y be a(0). Solve 39*m - 51 = -y for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2608055?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*h**4 + 180*h**3 + 3801*h**2 + 9702*h.\nAnswer: -3*h*(h - 77)*(h + 3)*(h + 14)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -g + 10 = 4*t, 4*g - t + 507 - 513 = 0 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (8\/12)\/(4\/(-30)). Let n be 37\/5 - 3\/b. Solve 0*r - n = 4*r for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 102, 169, 236, 303, 370?\n\"Answer: 67*y + 35","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 6521394391 to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = -43*s**2 + 85*s - 27 - 55*s**2 + 22*s**3 - 9*s**4 + 11*s**3 + 26*s**2. Let n(z) = z**4 - z**3 - z - 1. Let j(t) = g(t) + 5*n(t). Factor j(r).\nAnswer: -4*(r - 2)**3*(r - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 27\/96952 and -53\/466?\nAnswer: 22589816","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -2, 0, 203, 76, -3 in descending order.\nAnswer: 203, 76, 0, -2, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 815 - 18?\nAnswer: 7b9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 979 or 66?\nAnswer: 979","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 1, p: 1, h: 1}. Give prob of picking 1 a and 1 p.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 246 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*g + 2*v = 38, 8*g - 4*g + 3*v = 32 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9.83052 days to seconds.\nAnswer: 849356.928","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = -51*a - 49. Let y be r(-1). Suppose -y = 4*t + 3*l, 2*t - 2*l = -3*t + 9. Which is bigger: t or -1\/74?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -20, 3, 7, 2, 4 in descending order.\nAnswer: 7, 4, 3, 2, -20","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 5 - -a8151?\nAnswer: a8156","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is (4*6\/72)\/((-2)\/30)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 4.8 times -0.03?\nAnswer: -0.144","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = -39*s**2 + 375*s + 29. Calculate g(10).\nAnswer: -121","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 619*v**2 - 57178*v + 481572256 wrt v?\nAnswer: 1238*v - 57178","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (288\/252)\/(38\/(-133)). Let n be 2 - 0 - 2 - 10. Let s be ((-38)\/4)\/(5\/n). Put s, g, -2 in decreasing order.\nAnswer: s, -2, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 238808?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 13\/5 of a litre?\nAnswer: 2600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*v**2 + v**2 + 2*v**2)*((6*v - 2*v - 2*v)*(3*v - 7*v + v) + 3*v**2 + 2*v**2 - 3*v**2 + (-4 + 5 - 3)*(-2*v**2 - v**2 + 4*v**2) + 2*v - 2*v + v**2).\nAnswer: -5*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 82*l + 4*l - 3268 = 0. Solve -4*g - l = -9*t + 6*t, 5*g + t = -19 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 297 + -441.7. Let x = 144 + s. Let u = 0.07 + 0.13. Which is the nearest to 1? (a) -3 (b) x (c) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = y**2 - 915*y + 2737. What is v(3)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i + 24 = -0*i. Let d(v) = 2*v**2. Let u be d(-1). Let s(z) = -3*z**2 + 2*z - z**3 + 0*z**3 + i - u*z**2. Determine s(-5).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 7981 and 69.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 4181 (base 11) to base 9\nAnswer: 7528","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -0.2 * 1456\nAnswer: -291.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6601416.\nAnswer: 2, 3, 275059","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2*(sqrt(156) - (sqrt(156) + (sqrt(156) - (sqrt(156) + 1*sqrt(156)))) - sqrt(156)))\/(3*(1*sqrt(12) + sqrt(12))))**2.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 5\/3, 0.06, 5\/15613?\nAnswer: 0.06","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = 23126*b - 7197. Is a(23) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 19 a factor of 222588265?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -10691 (base 16) to base 2\nAnswer: -10000011010010001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 330 (base 11) to base 6\nAnswer: 1500","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-5)\/((-9)\/3 + 4).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 p and 2 o when three letters picked without replacement from {a: 1, o: 2, y: 1, p: 4}?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = -v**2 - 12*v + 1. Suppose -z - 1 = 5. Is a(z) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14 = -4*t - 42*h + 40*h, 9*t - 4*h = 6 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -47\/2102784 and -99\/3584.\nAnswer: 14719488","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 0 + 5)*(-3 + 2*h + 3)*(28 + 30 - 39)*(0 - 2*h**3 + 0).\nAnswer: -228*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 154 minutes after 1:54 AM?\nAnswer: 4:28 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m - 3*z - 3 = 0, m - 174*z - 5 = -173*z. Put -7, 3, 4, m in increasing order.\nAnswer: -7, 3, 4, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 258 + -256.27. Let i = f - 88.73. Let l = 87.3 + i. Which is the second smallest value? (a) -0.08 (b) l (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:44 PM and 5:39 AM?\nAnswer: 655","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:43 PM and 9:29 AM?\nAnswer: 586","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = f**3 - 12*f**2 + 15*f - 2. Let y be n(11). Suppose 4*c = c + y. Calculate the remainder when 27 is divided by c.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 224 and 140.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = m**2 + m + 2. Let v(g) = -g**2 - 8*g - 2. Let x be v(-5). Let p = x + -7. Suppose -2*o - 4*t = -t + 6, 3*t + p = 3*o. What is c(o)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*(sqrt(102) - ((sqrt(102) - 1*sqrt(102))*1 + sqrt(102) + sqrt(102)))*3)\/(4*(sqrt(384)*1 + sqrt(384) - sqrt(384))*-2).\nAnswer: -3*sqrt(17)\/64","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2443.981ug to grams.\nAnswer: 0.002443981","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) be the second derivative of -3*q + 3*q + q**2 + 4*q. Let y(x) = x - 9. Let c be 6*(0 + (-6)\/(-4)). Determine c*v(b) + 2*y(b).\nAnswer: 2*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = 33*u - 460. Let j be l(14). Solve -h + 94 = 90, 3*v = h + j for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -54 - -125d6?\nAnswer: 12582","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 103392794 and 646?\nAnswer: 1757677498","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*(2 + sqrt(27)))**2 + (sqrt(27) - ((-3*sqrt(27))**2 + 2)).\nAnswer: -214 + 15*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 34, 70, 106, 142?\n\"Answer: 36*d - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -355*t**4 - 168*t wrt t?\nAnswer: -4260*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2 + 5 - 4 - 2) + -5.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) be the second derivative of 19*a**6\/15 + 11*a**4\/12 + 13*a**3\/2 - 15*a**2 + 347*a. Find the second derivative of s(c) wrt c.\nAnswer: 456*c**2 + 22","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6\/42*14\/(-8)?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16 = 2*f - 5*m, -3*f - 3*m + 1 = 4 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 26 + 12. Suppose n - 3*n + f = 0. Calculate the remainder when n is divided by 5.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -64 (base 10) to base 15\nAnswer: -44","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*y = -5*d + y + 19, d - 3 = y. Let g = d - 4. Let a be (0 - g)*(-3 - -2). Is -1 bigger than a?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -1.139570455 to five dps.\nAnswer: -1.13957","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:45 AM and 7:47 AM?\nAnswer: 62","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1416261 by 472087.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Work out -14.3 * -0.5.\nAnswer: 7.15","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 680910.4ms?\nAnswer: 680.9104","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 2.2499182 to two decimal places.\nAnswer: 2.25","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 2212 to the power of 1\/5, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-407 + 25*o**2 + 407)*(-o + 4*o - 6*o) + 2 - 2 - 2*o**3 to the form b*o**3 + t + c*o + w*o**2 and give b.\nAnswer: -77","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1019337 to the nearest integer?\nAnswer: 101","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 37293 is divided by 283.\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 13+-25.1\nAnswer: -12.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 + 1 + 0 + (1 - 1 - 2)*(1 - 4 + 2) + 5 + 1 - 4)*(2*h - h - 3*h)*(-16881 + 16881 + 67*h**3).\nAnswer: -1072*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 3\/(12\/2072) - 1\/1. Let g = -136 + d. Is g a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -37942, 3, -0.063 in descending order.\nAnswer: 3, 2, -0.063, -37942","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1088077 is divided by 251.\nAnswer: 243","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 6\/(-37)*180\/(-360). What is the third biggest value in -0.4, q, -0.9?\nAnswer: -0.9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.2334 + 0.07408. What is j rounded to 3 dps?\nAnswer: -0.159","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 100101121100 (base 3) to base 8\nAnswer: 551056","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 412331 (base 6) in base 7?\nAnswer: 165043","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1212\/328427 + -1\/803. Let c = l - -29854\/1227. Calculate the common denominator of c and 39.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pe when two letters picked without replacement from {l: 1, p: 1, r: 6, e: 1, g: 4}.\nAnswer: 1\/156","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 211312?\nAnswer: 2, 47, 281","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = 4*a**2 + 10*a + 3. Let b be t(-3). Let w(p) = -21 + 44 - 11 - 9. Let y(m) = m - 2. Determine b*y(f) + 6*w(f).\nAnswer: 9*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Work out 15.28 - 140.82954072.\nAnswer: -125.54954072","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 9759.5511 - 9760. What is y rounded to 1 dp?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 1\/32 and -169\/786720.\nAnswer: 786720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is ((12\/15)\/4)\/((-5)\/(-250))?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 21*m + 6*m + 16*m.\nAnswer: 43*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 248 + -154. Suppose 4*d - 26 = -3*r + 56, 4*d = 5*r - k. What is the smallest common multiple of 14 and r?\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1791 + -1197. Calculate the highest common divisor of 216 and z.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*z**2 + 1 - z**2 - 12*z**2 + 560*z**3 + 8*z**2 - 103*z**3.\nAnswer: 457*z**3 + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 270181.631 rounded to the nearest 100000?\nAnswer: 300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -4346 - -39179\/9. Let j = -1018 + 51838\/51. Find the common denominator of m and j.\nAnswer: 153","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/3 in -3, -8\/9, -0.2, -0.1, -1640?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 205574059 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.03077 and -6.5.\nAnswer: 0.200005","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -257752, -515503, -773254, -1031005, -1288756?\nAnswer: -1546507","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -4941, -9577, -14197, -18801, -23389?\n\"Answer: 8*x**2 - 4660*x - 289","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n\/(n\/(n**(-15\/7)*n))*n*(n*n**(3\/2)*n)\/n)\/(n**(3\/10)\/n*n*n)**12 assuming n is positive.\nAnswer: n**(-927\/70)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 99942139 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*i**5 + 6*i**4 - 2*i**3 - 6*i**2.\nAnswer: 2*i**2*(i - 1)*(i + 1)*(i + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 12\/(-2 - -5) + -2. Suppose -5*o + 4 = -11. Suppose -t + o*t - x = 0. Let j(y) = -7*y**2. What is j(t)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 1\/(-3)*6 + 8*1. Suppose -7*p - k*p = -4147. List the prime factors of p.\nAnswer: 11, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = 332*t**2 + 24*t + 51. Is f(-18) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*n**4\/5 + 716499*n**3\/5 + 11408383674*n**2 + 302763290669940*n + 908187200425800.\nAnswer: 3*(n + 3)*(n + 79610)**3\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express g**2 + 4 - 3*g**3 + 784*g - 784*g in the form a*g + p*g**3 + o + v*g**2 and give p.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + sqrt(1216) + 2)**2.\nAnswer: 48*sqrt(19) + 1225","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 56*g - 413 = -3*g for g.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ppknpppnknnnjjpjpnp. Give prob of picking 2 j and 2 k.\nAnswer: 1\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -3 (b) 46 (c) 2\/11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = -3*v + 5. Let j(c) = 16*c + 1 - 21 + 2 - 8. Let d(n) = 11*h(n) + 2*j(n). What is the units digit of d(-6)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d + 10*d = 0. Let y(b) = -b**2 + 5*b + 1. Let n be y(4). Suppose -n*u + 3*r + 337 = d, u - 2*u + 77 = -3*r. Is u a multiple of 26?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 456.5 + -450. Let j = 3.5 - f. Let l(g) = -g + 4. Let a be l(5). What is the second smallest value in a, 0.5, j?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence aasi when four letters picked without replacement from {j: 6, v: 1, a: 2, s: 8, i: 1}.\nAnswer: 1\/4590","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = -4*a**4 + 6*a**3 + 12*a**2 - 2. Let j(k) = -16*k**4 + 23*k**3 + 48*k**2 - 9. Let d(y) = -9*h(y) + 2*j(y). What is l in d(l) = 0?\nAnswer: -1, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.06282 rounded to two dps?\nAnswer: -0.06","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(-8\/9)*r)**(-2\/115)\/(r**(13\/4)\/(r*(r**(-26\/3)\/r)\/r)) assuming r is positive.\nAnswer: r**(-53483\/4140)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 3689, 3700, 3723, 3764, 3829, 3924, 4055, 4228?\nAnswer: 4449","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s + 120437 = j, 123569 - 484880 = -3*j - 5*s. Is j composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 8 - 8.3. Let b = 4 + -4.4. Let g(j) = -j**3 - 2*j**2 + 3*j - 4. Let d be g(-3). What is the nearest to 0 in b, d, p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 27.3, 4, 11\/6, 152 in ascending order.\nAnswer: 0, 11\/6, 4, 27.3, 152","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00000062253864 to 7 decimal places.\nAnswer: 0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -3166 + 4029. List the prime factors of z.\nAnswer: 863","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -368, -1462, -3286, -5840, -9124?\n\"Answer: -365*j**2 + j - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 48\/65 and 45\/91.\nAnswer: 455","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = q - 4*b - 391, b + 778 = 2*q - 3*b. Let w = 79 + q. Does 17 divide w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2722 divided by -13528?\nAnswer: 1361\/6764","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5242?\nAnswer: 2, 2621","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 17728337 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 25370 (base 9) to base 12\nAnswer: 9a69","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 74 and 11655.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) be the third derivative of k**6\/120 - 3*k**5\/20 - 5*k**4\/12 + k**3\/3 + 4*k**2. What is the remainder when 3 is divided by n(10)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = a - 12. Let s be i(0). Let o = 44 + -44.38. Let h = o + 0.28. Sort h, 4, s in decreasing order.\nAnswer: 4, h, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 minus -2299?\nAnswer: 2301","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 0.4318144 millilitres?\nAnswer: 0.0004318144","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) be the second derivative of 7*b**4\/4 - b**2\/2 - b. Let t be x(1). What are the prime factors of (76\/(-10))\/((-8)\/t)?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = 9 - q + q**3 - 6*q**3 - q + 4*q**3 + 8*q**2. Suppose s - j + 1 - 9 = 0, -4*s + 3*j + 37 = 0. Let c = 21 - s. What is l(c)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve y + 1103*v - 157 = 1110*v, -273 = y - 4*y + 12*v for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l - 30 = -6*l. Let f(w) = w**3 - 10*w**2 + 2. Let p(q) = -q**3 + 11*q**2 + q - 3. Let z(v) = l*f(v) + 5*p(v). What is z(4)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 13743594 and 1242.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = -2*j**3 + 22*j**2 - j - 29. Let d be h(11). Let p = 65 - d. Is p a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-16*n + 16*n + 2*n**2)*(3*n**2 - n**2 - 3*n**2 + (-1 + 1 - 2*n)*(5*n + 3*n - 5*n) + 11*n**2 + 23*n**2 - 46*n**2 - 1).\nAnswer: -38*n**4 - 2*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -1244411 (base 5) to base 16\nAnswer: -6195","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 160759 is divided by 26400?\nAnswer: 2359","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 5892899 to the nearest integer?\nAnswer: 181","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = -2*z - 7. Let s be f(-5). Suppose 3 = s*b - 6. Suppose 0 = b*d - 10 + 1. Which is greater: 0 or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_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: Is 11524484833 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6*c + 4*c + 0*c)*(28 + 42 + 4)*(3*c + c - 2*c)*(4*c**3 - c**3 - c**3) + 4*c**5 + 0*c**5 + 2*c**5 + (c - c**2 - c)*(c**3 + 3 - 3).\nAnswer: -587*c**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = -2 + 0*c - 12*c - 25*c**3 - 7*c**2 + 24*c**3 + 2*c. Let m be l(-5). Is 0\/(-1) - (-6 + m) a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -8, 2, 3\/4?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = 5*t**2 + 13*t - 17. Suppose -5*s - 42 = -y, -2*s - 21 = s - 2*y. Is k(s) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -212 - -210.29. Let x = n - 220.29. Let t = 221.9903 + x. What is t rounded to three dps?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 331.\nAnswer: 331","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many millennia are there in 52955.03 centuries?\nAnswer: 5295.503","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = -1. Let m(c) = c**2 + 5*c - 5. Let i(v) = -5*j(v) + m(v). Let d be (-3)\/9 - ((-2380)\/21)\/(-20). Calculate i(d).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (7 - (-558)\/(-189)) + 6*-1 and 1\/147.\nAnswer: 147","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*a - n + 30, 3*a - 34 = 2*n + 3*n. Let s = 9 + 1. Let d = s + -13. What is the third biggest value in -4, a, d?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/4 in -2\/17, 0.2, -0.4, -1\/5?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -120*d = 240*d - 18*d - 1026. Which is the closest to 0.2? (a) d (b) 1\/703 (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1 + -1.3. Suppose -3*d + 0*l - 770 = 2*l, 0 = 5*d - 4*l + 1254. Let n = -5840\/23 - d. Which is the biggest value? (a) n (b) -3 (c) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h - 4*g + 12 - 143 = 0, -2*h = 5*g + 85. Let c be (-86)\/(-18) + (-10)\/h. Solve 3*o - 2 = -5*t + 10, 5*o + c = 0 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) be the first derivative of -t**4\/4 - 8*t**3\/3 + t**2\/2 + 10*t + 2. Let c be f(-8). Let j be (0\/c)\/(-7 - -5). Solve j*s = -s + 1 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -28, -47, -56, -55, -44, -23?\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 34.3 + -26. Let j = 8 - h. Let y = 0.09 - 0.59. What is the nearest to -0.1 in y, j, -4?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = -13*s. Let t(h) be the first derivative of 0*h**2 - 1\/3*h**3 + 0*h - 17. Calculate l(t(w)).\nAnswer: 13*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m + 5*m + l = 24, -m = -2*l - 8. Let i be 15 - -4*(-6)\/m. Let x(n) = i - 12 - 2*n + 0*n. Let d(u) = 5*u. Calculate x(d(w)).\nAnswer: -10*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 659? (a) -19 (b) 3 (c) 15\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -2 (b) -2\/13 (c) -139 (d) 0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 8, 4, 50 in descending order.\nAnswer: 50, 8, 4, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f + 2*q - q + 597 = 0, 0 = -3*f - 3*q - 903. Let y = -292 - f. Solve y*m + 20 = 0, -3*g - 3*m - 15 = 2*g for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -30 and -0.0484514.\nAnswer: 1.453542","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 13843211?\nAnswer: 2287, 6053","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -101.9 - -101.90005324. Round z to five dps.\nAnswer: 0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 6.47 + -6.17. What is the second smallest value in 1, 6\/5, n?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 1, d: 8, g: 4}. Give prob of picking 1 g and 1 o.\nAnswer: 2\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 11*15 - (4 + -2) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-45)\/(-12))\/((-20)\/12*((-84)\/(-80))\/(-7))?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_test"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6452429 is divided by 2150809?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) be the first derivative of 23*u**4\/12 - 14*u**3\/3 - 11*u + 16. Let h(f) be the first derivative of m(f). Find the second derivative of h(c) wrt c.\nAnswer: 46","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 337597643?\nAnswer: 19, 17768297","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is -37966 >= -37966?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -101 (base 11) in base 3?\nAnswer: -11112","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 1\/4 (b) -3\/4 (c) 0.0063 (d) 0.3697\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = -3*b + 15. Let c(q) = -q + 7. Determine -5*c(z) + 2*g(z).\nAnswer: -z - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -735.00000727 + 735. Round b to 6 decimal places.\nAnswer: -0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 76\/(-152)*(1 - (-1 - -6)). What are the prime factors of 0 + 5 + 3052\/x - 2?\nAnswer: 11, 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1508779771 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 126 and 13902.\nAnswer: 41706","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ms when two letters picked without replacement from kyhshmyhhyhksh?\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i*i**(6\/7)*i)\/(i\/i**(-8)))**(-49) assuming i is positive.\nAnswer: i**301","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -7 - (150\/(-18) + 0)\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -12 (b) 3 (c) -0.6 (d) 3\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*z + 13 - 37. Let v(k) = -3*k**2 + 4*k + 3. Let a be v(z). Is 4*(a\/12)\/(-1) a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in -3, 0.03, 19, 5, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -471737 + 485553 = 314*b for b.\nAnswer: 44","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = -o**3 + 1598*o**2 - 410873*o + 1276. What is c(1276)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 892712 is divided by 10131.\nAnswer: 1184","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x*x**1)**(-48)*(x**1)**(-20\/3) assuming x is positive.\nAnswer: x**(-308\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 870\/(-116)*32\/(-350) + 4\/(-10). Determine u so that -x*u**3 + 2*u - 4\/7*u**2 - 8\/7 = 0.\nAnswer: -4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-58)\/(-7) + (-4)\/14. Let p = u + -3. Let x = 1 + 3. Solve x*f + d = -d + 14, -p = -f + d for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = 57*b + 13. Let a(q) = 29*q + 7. Calculate -7*a(c) + 4*o(c).\nAnswer: 25*c + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from xxxxxxdddxd. What is prob of picking 2 x and 1 d?\nAnswer: 28\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(450)*-3 + sqrt(18))\/(sqrt(726)*2).\nAnswer: -7*sqrt(3)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 40\/(-35) + 1\/7. Suppose -4*b = 4*r, 2 - 12 = -4*b + r. Put b, -2, 5, g in descending order.\nAnswer: 5, b, g, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -8604801 by -956089.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find h such that -7*h**3 - 103*h**2 - 68*h + 28 = 0.\nAnswer: -14, -1, 2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round 752308000 to the nearest one million.\nAnswer: 752000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 97c + -5?\nAnswer: 977","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 22e69 (base 15) in base 6?\nAnswer: 2215013","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 10\/47 + -416\/2397. Let k = z + -271\/102. What is the common denominator of 43\/9 and k?\nAnswer: 306","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -1215816*t**3 + 1990706 wrt t?\nAnswer: -3647448*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = -4218*k**2 - k. Let z(r) = 6*r - 217. Calculate z(q(w)).\nAnswer: -25308*w**2 - 6*w - 217","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 63*q - 83*q - 166*q - 3162 for q.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 2 + 0. Let r = 169\/2 - 83. Factor -3\/2*y - r*y**d + 0.\nAnswer: -3*y*(y + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 266, 472, 678, 884, 1090?\n\"Answer: 206*j + 60","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 742, 2962, 6662, 11842, 18502?\n\"Answer: 740*m**2 + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -368*x - 2226*x + 607*x - 1118*x - 645*x.\nAnswer: -3750*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 2 and 23287800.\nAnswer: 23287800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = 8*b + 1. Let k(q) = 51*q - 23. Let f(c) = 44*c - 19. Let t(r) = 6*f(r) - 5*k(r). Determine -6*t(g) + 5*v(g).\nAnswer: -14*g - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (1 + 209\/(-20))\/(18\/(-45)). Which is the nearest to 1? (a) v (b) 0.3 (c) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 340822?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.3 in -4, 0.2, 2.8?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -92*f = 84*f - 190*f + 671356. What are the prime factors of f?\nAnswer: 2, 23977","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 21.4, 21, -125 in increasing order.\nAnswer: -125, 21, 21.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 299 is divided by 271.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 33\/1558 and -103\/164?\nAnswer: 3116","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = 2*t**2 - 134*t + 464. What is g(59)?\nAnswer: -480","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -0.287, -7, -3, 5?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1001011 + 101?\nAnswer: 1010000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1160 + 2129 = -11*m. Round m to the nearest 10.\nAnswer: -300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve c**2 - 3*c - 990 = 0 for c.\nAnswer: -30, 33","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18*x + 193 = -185. Suppose 2*g + 3*f - 170 = -x, -338 = -4*g + 2*f. Is g a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -142*y = 33*y + 72*y - 14820 for y.\nAnswer: 60","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -141, -282, -423, -564, -705, -846?\n\"Answer: -141*m","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 21 - 17. What is the biggest value in -0.5, v, 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 100101100111100 - 1100110010000?\nAnswer: 11000110101100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = -6*v - 25*v + 5*v - 1. Let q(z) = -z**3 + 49*z - 133. Let f be q(4). Determine p(f).\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {u: 8, z: 3, e: 4, o: 4}. What is prob of sequence uoo?\nAnswer: 16\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 2322.4 - 2242. Round l to the nearest ten.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-4*sqrt(60)*-1)\/(sqrt(320) + sqrt(320) + sqrt(320) + sqrt(320)*1))\/((-4*sqrt(6)*-2 - (sqrt(216)\/sqrt(4) - sqrt(6)))*-2).\nAnswer: -sqrt(2)\/96","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 41 - 116*x + 37*x + 82*x.\nAnswer: 3*x + 41","meta":{"dup_signals":{},"source":"polynomials__collect_test"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + sqrt(175) + 1 + 1)**2 + (sqrt(567)*3 + 3)*-2 + 4.\nAnswer: -54*sqrt(7) + 173","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -18265*s**3 - 12675 wrt s.\nAnswer: -54795*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 75584600 and 42.\nAnswer: 226753800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = -44*i**3 + 3289*i**2 + 824*i - 53. Determine a(75).\nAnswer: -128","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve t - 2*j - 2*j = 4*t - 34, -2*t - 2248 = 14*j - 2350 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b + 23 = -q - 7*b, 2*q + 2*b = -30. Let x(l) = l**3 + 15*l**2 + 26*l + 2. Let o be x(q). Solve -3*i - o = -i for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -152738, -152776, -152836, -152918, -153022, -153148, -153296?\n\"Answer: -11*s**2 - 5*s - 152722","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 324 and 5299680.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert -34 (base 10) to base 11.\nAnswer: -31","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh smallest value in 8\/5, 125, 0.06, -4, -4\/13, 0, 1?\nAnswer: 125","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*v - v + 0*v + 1157 + v - 1135 + v.\nAnswer: -v + 22","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 355013369 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort 12, -2, 55, 3, -5 in ascending order.\nAnswer: -5, -2, 3, 12, 55","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(-14)*s*s**2*s*(s**(10\/3))**(22\/3))**34 assuming s is positive.\nAnswer: s**(4420\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 7*r - 5*r + b - 1243, 4*b + 1881 = 3*r. Calculate the remainder when r is divided by 25.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 40479 is divided by 397?\nAnswer: 382","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20\/7*r**5 + 36\/7*r**3 + 52\/7*r**4 - 8\/7*r + 0 - 4\/7*r**2 = 0.\nAnswer: -1, 0, 2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -1*(-2 + (4 - 6)). Suppose -2*j + 3*c - y = 2*c, 2*j - 2*c = -8. Put j, -2, 2 in decreasing order.\nAnswer: 2, j, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 14260 and 3411860?\nAnswer: 620","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*f + 10*f - f - 3 - 2.\nAnswer: 2*f - 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 739 divided by 2.\nAnswer: 739\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 67 - 49. What is the remainder when 52 is divided by f?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 8\/3 in 27, -5, -2\/9, 2\/5, 513\/7?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/895 equal to -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = -415*a**2 + 414*a + 1. Let y be g(1). Solve y = -277*q + 261*q - 32 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2\/15 - (-24)\/(-855)\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*f = -29*d + 33*d, -40 = -3*d + 5*f for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 18 and 31804?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -39833508 divided by -1021372\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 13\/5 of a meter in centimeters?\nAnswer: 260","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 1 + 3)*(-83*f - 35*f - 2 + 0).\nAnswer: -118*f - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1300048783?\nAnswer: 11, 118186253","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 819?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 4, n: 4, d: 2, y: 1}. What is prob of picking 2 k?\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 17*m + 19 + 15 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -135 divided by 9\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -712, -13, -3755?\nAnswer: -712","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = 2*d**2 + 4*d - 73. Let u be m(-7). Let s be u\/(-9) - (-21)\/(7\/1). Factor -4\/9 - s*j - 26\/9*j**2.\nAnswer: -2*(j + 1)*(13*j + 2)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 k when two letters picked without replacement from {w: 1, k: 3}?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = -137 + 116 + 2*w**2 + 17*w - 22*w. Let h be g(-6). What is the greatest common divisor of 3 and h?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -53331 by -34.\nAnswer: 53331\/34","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r + 4*r = -4. Let z be -2 - (-17 - (-3 + r)). Let f be -1 - (-1 + -2)*2. Solve f*n + 2 = -3*d + z, -19 = -5*d - 4*n for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 16773192?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 53406077?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -3506, -3668, -3830, -3992, -4154, -4316?\nAnswer: -4478","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = -v + 16. Let c be b(14). Suppose c*z = -8, -4*i + 5*i = -2*z - 3. Solve 0*s - s + 5*f = -i, -3*f = 0 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 875 and 140?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c - 6 = 2*c. Let b = c - -9. Suppose -g + 12 = -4*a, 15 = g + 2*a + b. Calculate the remainder when 22 is divided by g.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 399 minutes after 6:30 PM?\nAnswer: 1:09 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -148, -297, -446, -595, -744, -893?\nAnswer: -1042","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 65496500194 + -2900709001009557\/44288. Let o = q - -1539\/173. Let y = -1\/1792 + o. What is the common denominator of 75\/8 and y?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = 3*p. Let j(f) = -9*f - 3*f - 4 + 4. What is s(j(x))?\nAnswer: -36*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 9 + -5. Suppose 4*s + 12 = j*b, -3*s + 2*s = -5*b + 11. What is the third derivative of -2*x**3 + x**b - 2*x**2 + x**3 wrt x?\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1518.31 - -1518. Which is the third biggest value? (a) -0.5 (b) 8 (c) 0 (d) o\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = 3*r - 11. Let o be m(-10). Let u = 101 + o. What is the tens digit of u?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -0.4 and -259.9.\nAnswer: -260.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 617.6 - 622.6. Which is the closest to 1\/2? (a) 4 (b) t (c) 39 (d) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -10408706, -10408707, -10408700, -10408679, -10408638, -10408571?\n\"Answer: k**3 - 2*k**2 - 2*k - 10408703","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 46*p**3 + 18*p**3 - 69*p**3.\nAnswer: -5*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -175487*d**3 - 108831*d**2 wrt d.\nAnswer: -1052922","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2429 + 16*u - 209*u + 4859 - 2432.\nAnswer: -193*u - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c - 5 = -2*c. Let q be (-9)\/(-3)*(-1)\/3. Let g = c - q. What is the remainder when 5 is divided by g?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -1\/2 (b) -0.49 (c) 0.1 (d) -3\/4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in 39\/380, -12, -2\/21?\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a + 5*p = 669, p = -6*a + a - 1143. Let f = -223 - a. Solve f*s + 22 = g, g = -3*s + s - 6 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = 83*x**2 - 6*x + 9. Let g be m(3). Suppose 24*z + g = 33*z. Calculate the remainder when 241 is divided by z.\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = -2*d - 1. Let c(o) = 425*o + 3. Determine -c(f) - 3*p(f).\nAnswer: -419*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 15\/3 - (2 - 1). Let g = 0 - -1\/5. What is the biggest value in -3, g, h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 241 is divided by 96?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of -2*15\/20 + 641\/2?\nAnswer: 11, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vk when two letters picked without replacement from {k: 1, s: 1, r: 1, v: 2}?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) be the first derivative of -r**4\/4 + 7*r**3\/3 - r + 321. Determine u(5).\nAnswer: 49","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = -5*z**2 + 9*z - 8. Let d(h) = 16*h**2 - 27*h + 25. Let y be (0\/(0 + -1))\/3. Suppose y = -3*n - 7 + 13. Let m(p) = n*d(p) + 7*b(p). Factor m(g).\nAnswer: -3*(g - 2)*(g - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (85*b**2 - 82*b**2 + 3 - 4*b**5 + 2*b**5)*(2 + 1 - 1).\nAnswer: -4*b**5 + 6*b**2 + 6","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 20\/(-6) + -2*(-5)\/30. Which is smaller: -4 or l?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 x and 1 u when two letters picked without replacement from {u: 2, x: 1, m: 1}.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 685973484?\nAnswer: 2, 3, 7, 2722117","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Determine m, given that -2*m**3 - 2*m**2 + 4*m = 0.\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand -h**4 + h**5 + 7*h + 0*h**4 + 7*h + (2*h**2 + 3*h**2 - 4*h**2)*(-6*h**3 + 5*h**3 - 2*h**3) - 5*h**5 + h**5 + 2*h**5.\nAnswer: -4*h**5 - h**4 + 14*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) be the first derivative of -b**2 + 42. Let t(q) = -28*q**2. What is o(t(h))?\nAnswer: 56*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.4*-1.405464.\nAnswer: -0.5621856","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert 341.92844 days to weeks.\nAnswer: 48.84692","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = -15391 - h + 15391. Let q(b) = -13*b. Determine q(f(u)).\nAnswer: 13*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -78*u + 88 = -56*u for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 9139958 and 298?\nAnswer: 298","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8 + 10*v + 1 - 13*v + 8*v.\nAnswer: 5*v - 7","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -2 (base 12) to base 6\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*x + x - 2*b + 12, 0 = 3*x - 2*b for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(132)*-2 + sqrt(132))*4 - sqrt(132)) + (sqrt(132) - 2*sqrt(132)*5))\/(sqrt(192) + (6*(sqrt(192) - (sqrt(192) - 2*sqrt(192))) - sqrt(192)))*2.\nAnswer: -7*sqrt(11)\/12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_test"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 66064, 132127, 198188, 264241, 330280, 396299?\n\"Answer: -h**3 + 5*h**2 + 66055*h + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 17198324 and 3124?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 1*5 + (0 - 0). Let h(s) = -5*s**3 - 2*s**2 - 4. Let t be h(-2). Let i = -28 + t. Solve 0 = 5*f - a*g - 20, -4*f + g + 10 + 3 = i for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1406480 and 15?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*z + z + 4*z)*(-4 - 12 - 1) - 3*z - 3*z + 5*z + (-2 - z + 2)*(-1 + 3 + 0) - 3*z + 2*z - z - z - 3*z + 3*z.\nAnswer: -23*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 38584 and 192472.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 176*v - 180*v + 40 = 0. Calculate the least common multiple of 177 and v.\nAnswer: 1770","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*k = -5*l + 38, -2*l + 5*k - 2 = -37 for l.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (59\/((-9912)\/(-240)))\/(1\/7).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*i = 3*i + 3008. List the prime factors of (-1 + 2)\/(8\/i).\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -869269743.05 - -869317981.968961. Let y = n - 48239. Let x = y - -0.081. What is x rounded to 5 dps?\nAnswer: -0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 3 + 12. What is the remainder when 73 is divided by o?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -2\/291 - 568\/2037. Let i = -2492 - -2491.9. Which is the second biggest value? (a) i (b) 2 (c) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 4864 - 8435 + 13*x + 4207 as d + z*x and give z.\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -59\/5551632 and -73\/6168480.\nAnswer: 55516320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = i**3 - 33*i**2 + 23*i - 755. Let a be j(33). Calculate the greatest common divisor of 5444 and a.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 375 is divided by 54.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = -o**2. Let x(i) = -8*i**2 + 2*i. What is 3*m(n) - x(n)?\nAnswer: 5*n**2 - 2*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/5 in 0.8, -3\/8, -9.8, 3\/28, 2?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from nvnvvvesnxevvnvvvv. Give prob of picking 3 n.\nAnswer: 1\/204","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = 5*h, t - 9 - 30 = 3*h. What is the tens digit of t?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -11 - 56. Let y = 44553\/2 - 22276. Which is smaller: a or y?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2249067.6 months in centuries?\nAnswer: 1874.223","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 4495 to the nearest integer?\nAnswer: 67","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 11, 33, 55, 77, 99?\n\"Answer: 22*s - 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -4, -15 in decreasing order.\nAnswer: -1, -4, -15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l = 3*l. Suppose -9*u + 3*u = l. Solve 3*m - 5*b + 0 - 9 = u, 4*m - b = 12 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qququddququ. What is prob of picking 1 q and 1 u?\nAnswer: 4\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 12332112 to the power of 1\/4, to the nearest integer?\nAnswer: 59","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {j: 2, i: 1}. What is prob of sequence jij?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*n + 5*i + 12, 0*n = 4*n + 5*i - 12. Suppose -7 + n = 2*r. Let x be (0 - (r - 2))*8. What is the highest common factor of 80 and x?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 9*(-7)\/294*2?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 21*m - 224 + 581 for m.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -1\/4*t**2 - 47\/4*t - 45\/2.\nAnswer: -(t + 2)*(t + 45)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_test"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(-33)*(y\/(y\/(y*y\/y**(1\/7))))\/y)\/(y**(-8))**(-3) assuming y is positive.\nAnswer: y**(-393\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y**3\/3 - 21241*y**2\/3 - 42473*y - 63705 = 0. What is y?\nAnswer: -21235, -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -317 or -320?\nAnswer: -317","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*t = 13*t - 932. Let b = t - 138. Is 14 a factor of b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:11 PM and 6:49 PM?\nAnswer: 158","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 3852 and 27.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let 5*w**5 - 112780*w**4 + 2252865*w**3 + 16562810*w**2 + 25915880*w + 11718720 = 0. What is w?\nAnswer: -4, -1, 26, 22536","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*r - 2 = -3*o - 2*o, 3*o - 4*r = -22 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = -3*y**2 + 22*y + 15. Let c be k(9). Put -4, c, 3 in decreasing order.\nAnswer: 3, -4, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -201310211 (base 4) to base 2.\nAnswer: -100001110100100101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 69 a factor of 29282772?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from nnmmmnmnmonnmmm. What is prob of sequence mm?\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -12*d**3*m**2 + d**3*m + 157*d**3 - 2*d**2*m**2 - 9555*m**2 wrt d.\nAnswer: -72*m**2 + 6*m + 942","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -91042 = 24*d - 90514 for d.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1490776260?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -125\/4882254 and -17\/507?\nAnswer: 63469302","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -1301312 (base 5) to base 8\nAnswer: -61167","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a - 3 = 3*x, -a - x + 10 = 3*x. Let g(h) = -a - 1 + 0 + 5*h + 5*h**2 - 6*h**2. Determine g(5).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify g**(-9\/5)\/g*g**(5\/6)\/g assuming g is positive.\nAnswer: g**(-89\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -7*i + 8*i - 3*b + 6*b + 4, 5*b + 341 = 6*i + 342 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: ((-33)\/(-2772))\/((-21)\/1008)\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -816 - -808. What is the remainder when 50 is divided by (-44)\/b + 4\/8 + 0?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j + 4 - 1 = 0. Let p be -2 - (j\/1 + -6). Put p, 0, 2 in decreasing order.\nAnswer: p, 2, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = w - 23. Let g be b(0). Let k = g - -26. Let m be (-4)\/(0 + 12)*k*-10. What is the greatest common factor of 50 and m?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 12002590?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -0.1 times 0.31\nAnswer: -0.031","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = m - 10 - 60. Let g = -14 + 16. Let a(r) = 6*r**2 - 4*r - 2. Let u be a(g). Calculate the greatest common factor of m and u.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -792*c + 787*c + 5 = 0 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2 - 12*w**3 + 441441010*w - 441441010*w - 2.\nAnswer: -12*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 39 minutes before 12:07 AM?\nAnswer: 11:28 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or 6649580?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = 198*s**6 - 3*s**4 + 3*s**3 - 140*s**2. Let b(v) = v**6 + v**4 - v**3. Let f(w) = 3*b(w) + t(w). What is the third derivative of f(m) wrt m?\nAnswer: 24120*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 4\/(-18) - (-8)\/36. Suppose -2*b + y + 6 = 0. Let s = -83 + 83.5. Put b, s, -3 in descending order.\nAnswer: b, s, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -135 divided by 27\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 2 + 2. Let j be (0 - -16)\/(4\/2). What is the second derivative of -j*p - q*p + 14*p - p**5 wrt p?\nAnswer: -20*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 - 25 = -5*a. Suppose a = y - 2. Suppose -y = -m + 5. What is the least common multiple of 9 and m?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = -m**2 + 33*m + 6. List the prime factors of f(16).\nAnswer: 2, 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 20 a factor of 525?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*y - 561 = 3*u - 546, 0 = -3*y - 2*u - 10 for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = 123*g + 1287. Let y be i(5). Which is smaller: y or 5710\/3?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 13*f**4 + 52*f**3 + 87*f - 1 wrt f.\nAnswer: 156*f**2 + 312*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find p such that 507*p**3 + 79443*p**2 - 24480*p + 1884 = 0.\nAnswer: -157, 2\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 39*c = 40*c + 31*c - 19680608. Is c composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = -5*t**2 - 17*t + 563. What is k(17)?\nAnswer: -1171","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l*l**(-3))**(4\/19) assuming l is positive.\nAnswer: l**(-8\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*w = -13*k + 15*k - 16, 10 = -5*w for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = t**2 + 7*t + 2. Give y(-7).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = -2*j + j. Let v be (-1 - -4) + 25 - j. Suppose -s = -2*x + 45, -5*x + v = 4*s - 50. List the prime factors of x.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = 2*c**2 + c - 1. Let z be s(-2). Solve -4*d + 9 = -0*d - z*y, -2*d = -y - 3 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence sdf when three letters picked without replacement from gddgtgdgsdgddfdt.\nAnswer: 1\/480","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-9 - 356) + ((-3)\/(-1) - 1). Let g = -249 - x. List the prime factors of g.\nAnswer: 2, 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-16)\/6)\/((-4)\/6). Suppose 2 = 2*a - r. Solve 1 = -y - a for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1111 = -117*c + 622 + 308 - 52 for c.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-36)\/10 - (-5)\/(10\/6). Let r = -0.04 - -3.04. Let a = 2 - r. Put j, a, -0.1 in descending order.\nAnswer: -0.1, j, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 54 divide 2420220435?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-53)\/(-3))\/(4\/12). Let b = n + -24. What is the remainder when b is divided by 11?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (10 - 7 - (3 + 1)) + 6.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -189882\/4667 at most -40?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(-1*sqrt(200) + sqrt(200) - sqrt(200)) + 5.\nAnswer: -30*sqrt(2) + 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 594182582?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -7 + 2. Suppose -2*m = -m - f + 3, 3*f - 13 = m. Let i(r) = 5 - 6 + r + m. Let n(z) = -z - 1. Determine b*n(a) - 3*i(a).\nAnswer: 2*a + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1 - 209.01.\nAnswer: -208.01","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 divided by 2274?\nAnswer: -5\/2274","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1303 in 7, 0.5, 0.3?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1*sqrt(95) - sqrt(95))*-1)\/(sqrt(20)\/sqrt(4)*1).\nAnswer: 2*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -r = -0*n + n - 7, -r + 23 = 5*n for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 9688\/9 - 1079. Calculate the common denominator of -77\/2 and v.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 4 - 712476?\nAnswer: -712472","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_test"},"subset":"dm_maths"} +{"text":"Question: Let q = 6.54 + -11.54. Let u be (-1)\/(1 + 369\/(-366)). Let l = u + -856\/7. Which is the closest to 11? (a) q (b) l (c) 1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is fourteeen ninths of a week in minutes?\nAnswer: 15680","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 46277274?\nAnswer: 2, 3, 19, 41, 9901","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express (l + l + 0*l)*(-89*l - 27*l**2 + 71*l + 22*l) as y + b*l + d*l**3 + r*l**2 and give r.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7105 + 32*n - 13*n**2 + 7105 + 38*n**2)*(9*n + 6 - 6).\nAnswer: 225*n**3 + 288*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -3, 3.6, -4\/7, -39?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1134*v - 3394*v - 5743*v.\nAnswer: -8003*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 3898 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: Calculate prob of picking 1 a and 1 k when two letters picked without replacement from aaak.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in 0, 7, -1.4, -0.4, 8, 3, 3\/2?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bbbb when four letters picked without replacement from {b: 5}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (58464\/(-147))\/16 + 25. Which is the fifth biggest value? (a) -5 (b) -0.1 (c) j (d) 369 (e) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -1 (b) -2\/13 (c) 0.39 (d) 1\/8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0.04 (b) 58 (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l - 16 = 140. Let k be l\/(-4) + 16\/64. Suppose -u - 4*u = 5*c - k, u - 2*c = 11. Sort u, -4, 3.\nAnswer: -4, 3, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 4.150001211 + -4.15. Round f to 7 decimal places.\nAnswer: 0.0000012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 - 3 - (-12 - 0 - (-3 - 3))?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*s - 2309*k - 2304*k + 4615*k + 22 = 0, 0 = -32*s + 4*k + 252 for s.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -33, -20, 17, 90, 211?\nAnswer: 392","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9745.\nAnswer: 5, 1949","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = 10*q**2 + 75*q**2 - 16*q**2 - 65*q**2. Let v(h) be the first derivative of -h**3\/3 - 1. Give o(v(r)).\nAnswer: 4*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z + 43307 + 2093 = 0. What is z rounded to the nearest 1000?\nAnswer: -45000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 114261213.\nAnswer: 3, 11, 131, 26431","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 12691\/6 - 221878\/105. Find the common denominator of r and 17\/80.\nAnswer: 560","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -45.1360128 to 1 dp.\nAnswer: -45.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 685 minutes before 10:10 PM?\nAnswer: 10:45 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -33 - 6 = 13*g for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (686*a + 460 - 460)*(1 - 5 - 2).\nAnswer: -4116*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*q - 12, 4*q + 4 = -5*t + 2. Suppose -4*a - 18 - 8 = -2*b, t*b = 2*a + 28. Suppose -i - b = 2*i. Sort -4, i, 1 in descending order.\nAnswer: 1, -4, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = 8*f - 2. Let v(s) = s**2 - 32*s + 9. Let z(r) = 18*u(r) + 4*v(r). Factor z(j).\nAnswer: 4*j*(j + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 949.55112 minutes to weeks.\nAnswer: 0.0942015","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12712044 - 28999286 + 1672650 = -88*d. Is d a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 52 divided by 89?\nAnswer: 52\/89","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 3907 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 + 11 + 42 + -50.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) be the first derivative of -v**2\/2 + 4*v - 2. Let s(h) = -1. Let n(l) = -l + 2. Let m(y) = -n(y) + 2*s(y). Let g(u) = 3*m(u) + 2*q(u). Determine g(3).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1.202759 - -2.0027614. Let l = 5 - 5.8. Let v = l + n. Round v to 6 dps.\nAnswer: 0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-1)\/(-4) + (-14)\/(-8). Let f(m) = -4*m**3 + 1 + 3*m**2 - 2*m + 2*m**i - 3*m**2. Let u be (2 - 3)\/(-2)*12\/6. Give f(u).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 8.93 + -9. Let c = -168.42 + 170. Let i = 7.58 - c. Is i smaller than v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 58549 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1097 + -1097.1. Which is the second biggest value? (a) z (b) -2\/11 (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 91451520 is divided by 509?\nAnswer: 508","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1273 in 5, -317, 4?\nAnswer: -317","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2009*a**2 + 2332448*a + 1161.\nAnswer: -(a - 1161)*(2009*a + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6213*l = 6389*l + 5280 for l.\nAnswer: -30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = -m**3 - 3*m**2 + 5*m - 2. What is y(0)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*s = 4*j - 58, -2*s - 68 = -3*s - 5*j for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-669 + 270 - 2*n - 669)*(0*n - n - 2*n).\nAnswer: 6*n**2 + 3204*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -761 + 772. Calculate the remainder when 318 is divided by o.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 43216 to the nearest integer?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 4 + 0. Suppose 4*h - i = -11 + 6, -5*i = -5*h - 25. Determine y so that h - y**j + 1\/2*y**2 + 0*y + 1\/2*y**3 = 0.\nAnswer: -1\/2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n + 2*q - 8 = 0, -n + 2*q - 1 - 1 = 0. Let t(m) = -7 - 3*m + 1 + 0*m. What is the remainder when t(n) is divided by 7?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-2)\/(-20) - 5871\/(-190). Let d(v) = -11 + 58*v**2 - 28*v**2 - n*v**2 + 13*v. What is the units digit of d(9)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 19, 0.1, -0.5, -2?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 418 - 607. Let i = z - -189.5. Which is the biggest value? (a) -65 (b) i (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u = -5 - 11. What is the highest common factor of u and 10?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1181244876 less than -1997?\nAnswer: -1181246873","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + (3 + sqrt(684) - -5*sqrt(133)\/sqrt(7)))**2 - (4*(sqrt(19) - (sqrt(190)*1)\/sqrt(10))*1 + 5)**2.\nAnswer: 132*sqrt(19) + 2310","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1006\/2012 - 459\/(-6).\nAnswer: 77","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is one sixth of a day in minutes?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*y**2 + 10854*y - 21720 = 0.\nAnswer: -3620, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -37\/392 and 91\/24?\nAnswer: 1176","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 10 and 606340.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 173513075*j**2*w**2 + 5*j**2*w - 967109*w wrt w?\nAnswer: 347026150*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14*a + 40 = 24*a for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y - y = 4. Suppose -y*k - 36 = 4*b, k = 3*b - k + 47. Let d = 44 + b. What is the remainder when d is divided by 16?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*i**2\/5 + 215783792*i\/5 - 2910165305618704\/5.\nAnswer: -4*(i - 26972974)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 152 in -5, -52, 11, -4?\nAnswer: 11","meta":{"dup_signals":{},"source":"comparison__closest_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -32*n = -28*n - 20. Let d be n\/(25\/(-15)) - -7. Find the third derivative of -6*h**2 + h**2 + 5*h**2 - 7*h**2 - d*h**3 wrt h.\nAnswer: -24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -1*((-10)\/3 + 3). Let x(j) be the first derivative of 0*j**4 - g*j**6 + 4\/3*j**3 + 0*j**2 + 0*j**5 - 3 + 0*j. Find the third derivative of x(z) wrt z.\nAnswer: -120*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 704 minutes before 8:28 AM?\nAnswer: 8:44 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = -3*u - 71. Let q be s(-25). Solve -q = 2*i - 0 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 36 + 57. Suppose 6*c = 3*c + g. Suppose -4*o + 80 = o. Calculate the remainder when c is divided by o.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (93 - -32) + (0 + 1)*1?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -938 divided by -14.\nAnswer: 67","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert -111101100100111111001 (base 2) to base 4.\nAnswer: -13230213321","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 29378536 or 29378542?\nAnswer: 29378542","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 r, 2 p, and 1 a when four letters picked without replacement from prhhrnphrrahhsa.\nAnswer: 8\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -4596 divided by 4\nAnswer: -1149","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v + v - 6 = 0. Let m(u) = -u**3 - 4*u**2 - 5*u - 2. Let l be m(-3). Let a = v - l. Is a bigger than 1\/6?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + 3*sqrt(2057) + sqrt(2057) - sqrt(2057).\nAnswer: 5 + 33*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((w\/((w\/w**(-2\/3))\/w))\/w)\/(w**7\/w))\/(w**(3\/5)\/(w\/(w**(-6)*w)*w)))\/(w*w**(-6)*w*w*w**(-3\/5)*(w**(-2\/5)*w)**(-2\/129)) assuming w is positive.\nAnswer: w**(2156\/645)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = -22*y + 13*y - 14*y. Let n be 7*(-8)\/(-252) - 16\/(-9). Let k(j) = 171*j**n - 343*j**2 + 174*j**2. Give k(a(z)).\nAnswer: 1058*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_test"},"subset":"dm_maths"} +{"text":"Question: Calculate 690406137 divided by -3272067.\nAnswer: -211","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -18494 and -1234?\nAnswer: 22821596","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = 6*f - 10. Let v(x) = 28*x - 48. Let s(b) = 24*n(b) - 5*v(b). Let r(w) = -2*w**2 - 2*w**2 + 0*w + 0*w. Calculate s(r(p)).\nAnswer: -16*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -38*(-492)\/(-3895)*(-30)\/(-104)?\nAnswer: -18\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 8232?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 1116809 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 11\/10 of a litre?\nAnswer: 1100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r + 6*r = 380. Is r prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from tztntttnn. What is prob of sequence nt?\nAnswer: 5\/24","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -7, 186, 329, 398, 369, 218?\n\"Answer: -4*t**3 - t**2 + 224*t - 226","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -347 + 355. Suppose -31 = -l*c + 33. Solve 0 = -3*r - r - c for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9992721077 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 294*h = -135*h + 12870 for h.\nAnswer: 30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 121, 247, 377, 517, 673, 851, 1057?\nAnswer: 1297","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b - 5*k - 84 = 0, -2*b = -2*k - 80 + 24. What is the third derivative of b + 20*u**6 + 1 - 2*u**2 + 23*u**6 - 46*u**6 wrt u?\nAnswer: -360*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 677 minutes before 7:11 AM?\nAnswer: 7:54 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k - 107112 = 2*x, 236*k + 2*x + 160662 = 239*k. Is k a multiple of 22?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 24044341 + -3?\nAnswer: 24044333","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = p**3 - p**2 + p - 1. Let z be f(2). Suppose 0 = -5*x - r + 266, -4*x - 4*r + 220 = -z*r. Is x a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1119*z = -1033*z - 2838 for z.\nAnswer: 33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 11026, 22057, 33090, 44125, 55162, 66201, 77242?\nAnswer: 88285","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(-1)*v*v**3)**(-49)*v**(1\/4)*v\/v**(2\/7)*v*v*v*(v*v*v**(-5\/2)\/v)\/(v\/((((v\/v**(-1\/6))\/v)\/v)\/v)) assuming v is positive.\nAnswer: v**(-12379\/84)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify j**10*j\/j**(6\/23)*j*(j**(2\/5)*j)**39 assuming j is positive.\nAnswer: j**(7629\/115)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = p**3 + p**2 - p + 2. Let x be n(0). Suppose x*b = 5*b - 309. Suppose 0 = s - 3*s, r - b = s. Is r a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 158, 39, -80, -199, -318?\nAnswer: -437","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 527 - 557 = -10*q for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 18682199957 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -1186, -2466, -3798, -5200, -6690, -8286, -10006, -11868?\n\"Answer: -3*h**3 - 8*h**2 - 1235*h + 60","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let 4360*u**2 + 5*u**5 - 1545*u**3 - 83*u**4 - 508665*u + 223*u**4 + 505705*u = 0. What is u?\nAnswer: -37, 0, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-1)\/2 - (-225)\/30\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 0, -27, 144, 2 in increasing order.\nAnswer: -27, -3, 0, 2, 144","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 5*(-138)\/((-966)\/(-21))?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20*z - 3*y = -18*z + 11, 4*z + 4*y = -16. Which is smaller: -31\/71 or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 668.\nAnswer: 2, 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 502199846?\nAnswer: 2, 97, 967, 2677","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = f**2 - 5*f - 1. Let l be c(6). Let p(w) = -l*w - 7*w + 9*w. Let o(u) = -2*u. Calculate p(o(i)).\nAnswer: 6*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i = 2*a - 655, 3*i = 6*a - 7*a + 325. What is the tens digit of a?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = 4*j + 2. Let x(v) = v**2 - 10*v - 13. Let m be x(11). Let s(b) = -b**2 - 4*b - 3. Let o(r) = m*s(r) - 3*w(r). Suppose o(c) = 0. What is c?\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of l**4 + 98*l**3 + 12*l**2 + 7 wrt l?\nAnswer: 24*l + 588","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 2 and 22958.\nAnswer: 22958","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 112120011120221 + 1?\nAnswer: 112120011120222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t - 170 = -4*t + 4*a, -3*a + 291 = 3*t. Suppose 0*v = 3*v - t. Is v prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 f, 1 w, and 1 t when four letters picked without replacement from {a: 1, t: 3, f: 7, w: 7, g: 1}.\nAnswer: 147\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor -m**2\/2 - 8812333*m\/2 - 8812331.\nAnswer: -(m + 2)*(m + 8812331)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert -4 (base 12) to base 6.\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -2 - -4. Let k = 9.08 - 10. Let y = k + -0.08. What is the third smallest value in -0.5, p, y?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1435483?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 15363071593 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -152957*t**3 + t**2 - 2*t + 3915.\nAnswer: -917742","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 374*l - 321*l = 265. Solve -9*x + 8*x = -l for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 2729 + -936. Is k a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 14*s + 19*s + 15*s + 19*s - 65*s.\nAnswer: 2*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 18 a factor of 752184?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1 - -8. Suppose m - t = z + 48, t - 59 = -m. Does 19 divide m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -234*-0.26.\nAnswer: 60.84","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 125 - 374\/3. Find p, given that -x*p - 1\/3*p**3 + 0 - 2\/3*p**2 = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + -1 + sqrt(1100) + -1 + 5 + (sqrt(1100)*-2)**2 + 2.\nAnswer: 10*sqrt(11) + 4409","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/5 in -197898, -2\/5, 1, -1, 2\/3?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 186 * 1958\nAnswer: 364188","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 255 divided by 5?\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4864579.\nAnswer: 191, 25469","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 29088615 to the nearest integer?\nAnswer: 308","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = 256 - 42*j + 256 - 799 + 271. Determine g(-2).\nAnswer: 68","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in one fifth of a kilometer?\nAnswer: 20000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 4253 at least 4255?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 5 - 11. Let q(s) = -8*s + 11. Let j(v) = -v + 1. Let k(r) = n*j(r) + q(r). Calculate k(5).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.377 + -5.377. What is the biggest value in 1.88, p, 1\/3, -0.1?\nAnswer: 1.88","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from eqdedc. What is prob of picking 2 d and 1 c?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 288*h**3 + 69823*h - 186 - 69823*h wrt h.\nAnswer: 864*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -66658 + 66658 + 2042*c + 687*c to t*c + d and give t.\nAnswer: 2729","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1418 + 3001. Is x a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.3 - -0.1. Let a = 189 - 2081\/11. Let i = -0.1 - -0.3. What is the third biggest value in z, a, i?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -20, -75, -4 in decreasing order.\nAnswer: -4, -20, -75","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = -1 - 2*o - 7 + o. Let r(v) = 3*v + 23. Let h = 39 - 55. Let f = h + 10. Give f*r(t) - 17*a(t).\nAnswer: -t - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 585 minutes after 11:22 PM?\nAnswer: 9:07 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2\/192728083 or 0?\nAnswer: -2\/192728083","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = 9*h - 54. What is g(-5)?\nAnswer: -99","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is -2448 at least -2446?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -179\/570 and -145\/6?\nAnswer: 570","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-12)\/(-4))\/((-6)\/(-12)*1). Suppose f*n - 387 + 1023 = 0. Which is smaller: n or -105?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 156 (base 9) to base 8.\nAnswer: 204","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -12556\/7 + 1794. Put 2\/15, w, 745\/3, -0.1 in descending order.\nAnswer: 745\/3, w, 2\/15, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 5 - 5. Let s be (-3)\/(-1 + -2 - y). What is the nearest to s in -1\/7, -1, 1\/3?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence cjwn when four letters picked without replacement from ucuucwwnuuncwununcj?\nAnswer: 1\/1938","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -2 + 0. List the prime factors of y*((-7)\/2 + -3).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 528*k + 1134 = -522*k + 1059*k. What is the highest common divisor of k and 522?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -11121121012 (base 3) to base 4.\nAnswer: -112023101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 32 a factor of ((-120)\/540)\/(3\/36)*-9180?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5*6.72419.\nAnswer: -33.62095","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -7\/4 (b) 15.21 (c) 127\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b + 7*b - 17 = y, -5*y - 2*b + 23 = 0. Find the second derivative of -9*k + 2*k**4 - k + y*k**5 - 2*k**4 wrt k.\nAnswer: 60*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 291720 and 17952?\nAnswer: 1166880","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1236 is divided by 49.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 1 + 32044450542?\nAnswer: 32044450543","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0828694 rounded to 3 decimal places?\nAnswer: 0.083","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d**(-1\/5))**19)**(-6\/31) assuming d is positive.\nAnswer: d**(114\/155)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = 4 - 4 + q. Let j(h) = -25*h**2 + 54*h**2 - 20*h**2. What is b(j(y))?\nAnswer: 9*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 93.57034 millennia in decades?\nAnswer: 9357.034","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -2\/3 (b) 3\/8 (c) 2\/15 (d) -1416\/55 (e) -0.2 (f) 4\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 101 + -101.755. What is i rounded to one dp?\nAnswer: -0.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 101110 + 100?\nAnswer: 110010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -50.0789575 + 0.0791675. Let f = 1.24 + 48.76. Let j = f + n. What is j rounded to 4 decimal places?\nAnswer: 0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 19 - 12. Let b = 17 + v. Is b a multiple of 24?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*g - 68 = -4*g. Let l(n) = -5*n**3 + 6*n**2 + 6*n. Let v(x) = 14*x**3 - 17*x**2 - 17*x. Determine g*l(a) + 6*v(a).\nAnswer: -a**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 19.99811112 rounded to four dps?\nAnswer: 19.9981","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2596 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ylywlwwwawylywyywwly. What is prob of sequence yywa?\nAnswer: 14\/4845","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 263.5 + -264. Let j = 0.2 - -0.3. Which is the third smallest value? (a) z (b) j (c) 0.3 (d) -1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -11.8 take away 213847.429275?\nAnswer: -213859.229275","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -79872 = -1392*a - 1680*a for a.\nAnswer: 26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -20.8 take away 66409002.84?\nAnswer: -66409023.64","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k\/(k*k\/k**(2\/3)))**(2\/25) assuming k is positive.\nAnswer: k**(-2\/75)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 1245 (base 15) to base 12\nAnswer: 2302","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6361.\nAnswer: 6361","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -26.08 + 26. Which is the fourth biggest value? (a) -1\/3 (b) -1 (c) x (d) -5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -279.8 + 280. Which is the closest to 0.1? (a) -0.5 (b) v (c) -0.09\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (15 - (23 + 25)) + -14 + 10.\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zmpfr. Give prob of picking 1 p and 1 z.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y + 22 = 230. Let o = y - 58. What is the greatest common factor of o and 115?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -12 + -401?\nAnswer: -413","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 15392, 15394, 15396?\n\"Answer: 2*m + 15390","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 434023133?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -25436, -50710, -75984?\nAnswer: -101258","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*q - 28*r + 170 = 19, -r = 4*r - 2*r - 0*r + 9 for q.\nAnswer: -47","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = -i**2 + 15. Calculate v(0).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 64, 52, 54, 76, 124?\n\"Answer: v**3 + v**2 - 22*v + 84","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 i and 1 a when four letters picked without replacement from {z: 1, a: 7, i: 6, c: 1}?\nAnswer: 4\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 + -11 + 7 - (-5 + 0).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 12683 - 12682.7. Which is the fourth smallest value? (a) 77 (b) 0.02 (c) n (d) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16*j**4\/5 + 6*j**3 - 4*j**2 - 6*j + 4\/5 = 0 for j.\nAnswer: -2, -1, 1\/8, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c - 27*j + 11 = -28*j, -c - j = 1. Let z(w) = w - 3. Let v be z(0). Let y = -4 - -3.7. What is the closest to -1 in c, v, y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = 66*u**2 + 2*u + 2. Let w be (-2)\/(-14) - 48\/42. What is the remainder when r(w) is divided by (-1)\/(-2) + 33\/2?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 199116 is divided by 153?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 66116 and 128?\nAnswer: 2115712","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -10, 4, 5 in descending order.\nAnswer: 5, 4, 3, -10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = 4*k**2 - 36*k + 4. Let s be c(9). Find x such that -5*x**3 + s*x**2 - 18*x**4 - 10*x**3 - 2*x**3 + 3*x**3 = 0.\nAnswer: -1, 0, 2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -d (base 14) in base 9?\nAnswer: -14","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -0.1956 times 0.2\nAnswer: -0.03912","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is (-3)\/(9\/(-2)) - 5950\/(-30) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from poygwkywp. Give prob of sequence wok.\nAnswer: 1\/252","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 66777, 97024, 127271, 157518?\nAnswer: 187765","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 252*c - 279*c + 108 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -2 (b) 24 (c) -599\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -3744, -7355, -10752, -13827, -16472, -18579?\nAnswer: -20040","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -2c6 - 1?\nAnswer: -2c7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (28\/(-280))\/(1*(-3)\/6).\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -10080 divided by 12\nAnswer: -840","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 27494.\nAnswer: 2, 59, 233","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 8085599, 8085593, 8085587, 8085581, 8085575, 8085569?\n\"Answer: -6*l + 8085605","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 169\/300 and 77\/144?\nAnswer: 3600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 102133 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Determine z, given that -8*z**4 + 36*z**3 + 7108*z**2 + 30744*z + 13600 = 0.\nAnswer: -25, -4, -1\/2, 34","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = -4*o**2 + 3*o**2 - 10*o + 2036 - 2063. Let t(z) = z**2 + 2*z. Let a(i) = -5*t(i) - y(i). Let u(s) = 2*s**2 - 13. Calculate 6*a(g) + 13*u(g).\nAnswer: 2*g**2 - 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*v - 3*z + 6, -4*v + 10 + 0 = 5*z for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000384 to 4 decimal places.\nAnswer: -0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 3744100357 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 623 is divided by 95.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -2 + c3?\nAnswer: c1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -5806 divided by -5\nAnswer: 5806\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express -v**3 - 28*v + 0*v**4 + 6 + 50*v + 2*v**4 - v**2 - 21*v as y*v**3 + h*v**2 + o*v + z + r*v**4 and give y.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 1196*j**4 + 7*j**3 - 3*j**2 - 2*j - 1117961 wrt j.\nAnswer: 4784*j**3 + 21*j**2 - 6*j - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v\/v**(-37)*v**(5\/3)*v)\/(v**(-37))**(-45) assuming v is positive.\nAnswer: v**(-4873\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 0.1, 82, 471?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 7 - 1 - (26 - 8 - -1)\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 22127091187 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -2*(-7)\/(-10) + 1. Let d = -0.345101 - 0.254899. Which is the closest to w? (a) d (b) -5 (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.26 rounded to one dp?\nAnswer: 2.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor -8\/5*a + 2 - 2\/5*a**2.\nAnswer: -2*(a - 1)*(a + 5)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 2.9 + 0.1. Suppose 2684 - 2684 = -70*i. What is the nearest to i in x, 26, -2\/7?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) be the first derivative of 2*j**2 + 0 - 2 + 0*j**2 - 2*j. Differentiate n(l) wrt l.\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u - 3*s - 2 = 0, 2*s = -3*s - 10. Solve 4 = h - u for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3416 is divided by 214.\nAnswer: 206","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k = -2*f - 1610, -f = -5*k - 5*f + 2720. Let r(x) = -9*x**3 - 3*x**2 - 2*x + 3. Let b be r(3). Let c = k + b. What are the prime factors of c?\nAnswer: 3, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((0 - -1)*0)\/(-21 - -18). Suppose q = -r + 4*z + 102, 5*r - 4*r - z = 105. What is the units digit of r?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -7\/30 and 37\/20175?\nAnswer: 40350","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1978 is divided by 66.\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = 2387*z**2 + z. Let h be w(-1). Let f be 1617 + -2*(-2)\/(-4). Let o = h - f. Round o to the nearest one hundred.\nAnswer: 800","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -116*a**3 + 333*a**3 + 2*a**3 - 102*a**3 - 113*a**3.\nAnswer: 4*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -47895 - -7471553\/156. Find the common denominator of z and 79\/18.\nAnswer: 468","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 118196.\nAnswer: 2, 13, 2273","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = -i**3 + 15*i**2 + 16*i + 7. Let j be -153 + 158 - 1\/(-1)*-557. Let z = j - -568. Calculate a(z).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -11.5 - -11. Let g = -1.5 + c. Let b be 6\/10*2\/3. What is the second biggest value in g, b, 5?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + (sqrt(147) + (sqrt(147) + 1 + sqrt(147))*-1)*2)**2.\nAnswer: -84*sqrt(3) + 597","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = 187*p**3 - 95181*p**2 - 993*p - 12726. Give a(509).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t - 155 = 6*t. Let z be -5*t*2\/2. Let k(b) = -2*b**3 + 7*b**2 - 112*b - 391. Let i be k(-3). Calculate the greatest common factor of i and z.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 209, 417, 625, 833?\nAnswer: 1041","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = p + 4*p. Let f = -2 - -10. Solve y + p*y + w = 0, w = y + f for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = -13*b. Let u(n) be the third derivative of n**5\/10 - 66*n**2 - 2. Give p(u(v)).\nAnswer: -78*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -185\/236 - -2\/59. Let s = -0.9 + -4.1. Let a = s - -2. What is the nearest to 1 in o, a, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 0.4, -140, -1.4 in decreasing order.\nAnswer: 1, 0.4, -1.4, -140","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Divide -77371091 by -11053013.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) -0.16 (b) -1430\/9 (c) 93 (d) -3\/4 (e) -3 (f) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express (8 - 1 + 3)*(1 - b - 1) as i + v*b and give v.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w = 2*z + 50, w - 69*z - 18 = -71*z. Calculate the remainder when 19583 is divided by w.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 723.20094ns?\nAnswer: 0.00000000020088915","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -667.1 + 1.1. Let z = 669.6 + k. What is z rounded to one decimal place?\nAnswer: 3.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -7.449617896 - 0.4553?\nAnswer: -7.904917896","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 10 - 41\/4. Let g(w) = -w**3 + 82*w**2 + 78*w + 422. Let j be g(83). Sort s, -0.3, j, -0.2 in descending order.\nAnswer: j, -0.2, s, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 72610 a multiple of 22?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -6024 + -5?\nAnswer: -6029","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 2268 and 243?\nAnswer: 6804","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: (-16)\/(-20)*(-10)\/4\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 87354\/253 - (-6)\/(-22). Calculate the highest common factor of 105 and g.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2*(-3 - (-3 + 1)) + -3?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*n + 8 = 8. Solve -5*k + 4 + 11 = n for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3345264 is divided by 434.\nAnswer: 426","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 47, 0, 1, 24 in increasing order.\nAnswer: -5, 0, 1, 24, 47","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 4 in -2863, 1, 3\/5?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = 3*y + 19. Let d(g) = 122*g - 170. Let c(j) = 40*j - 51. Let q(m) = -10*c(m) + 3*d(m). What is v(q(p))?\nAnswer: -102*p + 19","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) be the third derivative of z**5\/300 + 3*z**4\/20 + 27*z**3\/10 - 4*z**2. Determine j, given that i(j) = 0.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 596*k - 3011 + 1339 = 1904 for k.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*u + b = 3*b, 3*b + 10 = 5*u for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i**5\/2 + 2226*i**4 - 17865*i**3\/2 - 6669*i**2 + 40176*i = 0. Calculate i.\nAnswer: -1488, -2, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = s**2 - 9. Suppose -3*d = -5*d + 164. What is the lowest common multiple of x(-4) and d?\nAnswer: 574","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 10\/(-2) + (135\/(-9) - -11). What is the second biggest value in 2\/11, 0.595, n?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-3)\/(-14))\/(366\/427)?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -8*1 + (74 - 75).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8223?\nAnswer: 3, 2741","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -56 - -70. Calculate the greatest common divisor of n and 14.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 5392 and 0.4 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {w: 2, o: 1, e: 14}. What is prob of picking 1 e, 1 o, and 1 w?\nAnswer: 7\/170","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 4 - 1. Let x(i) = -56*i - 1512. Let j be x(-27). Solve -g*s - 12 = -j*s for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b - 6 = -3*b, -c - 2*b = -6. Solve -3*n + 4*n = c for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = -2*r - 9. Let o be m(-6). What is the second derivative of -7*c**o + 3*c**3 - 8*c + 2*c wrt c?\nAnswer: -24*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 24 and 96?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 13\/(-14) - 3\/9*(15 + -18).\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b + 4*x - 7 = 0, -4*x + 11 = b - 0*x. Are b and 10\/29 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 4, r: 3}. Give prob of sequence br.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 26670743147 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19*p + 3*d = 23*p - 17038, p - 4*d - 4279 = 0. What is the units digit of p?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((3*(-1 + sqrt(7))*3 + (sqrt(700) - (sqrt(700) + 1)*2))*2 + -2)**2.\nAnswer: 96*sqrt(7) + 604","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3)\/4*5304\/(-57681)?\nAnswer: 2\/29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from yyynnynyyxwnywyxn. Give prob of sequence nn.\nAnswer: 5\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 119, 464, 1035, 1832, 2855?\n\"Answer: 113*d**2 + 6*d","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -614*p - 2335*p + 6022*p + 5548*p to the form i + w*p and give w.\nAnswer: 8621","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2864510119.\nAnswer: 29, 5521, 17891","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*((1 + sqrt(7))*5 - sqrt(63)\/(sqrt(18)\/sqrt(2))) - 5*(sqrt(700) - (sqrt(700) + 0) - sqrt(56)\/(sqrt(8) + -2*sqrt(8))).\nAnswer: -29*sqrt(7) - 30","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = 14*w**2 + 8*w - 8. Let y(x) = 5*x**2 + 3*x - 3. Let c(b) = 3*o(b) - 8*y(b). Let q(r) be the second derivative of r**4\/6 + 5*r. Give q(c(d)).\nAnswer: 8*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yn when two letters picked without replacement from {y: 1, c: 3, v: 1, n: 3, q: 5, k: 2}.\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 3*(3\/(-3))\/(-1). What is the first derivative of -7 + 4 - 3*k**3 + 4*k**h - 5 wrt k?\nAnswer: 3*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 93 divide 1348752385?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-62 - 47*p + 62)*(-2*p + 4*p + 1 + 1).\nAnswer: -94*p**2 - 94*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) be the second derivative of -a**5\/20 + a**4\/3 + a**3\/3 + 5*a**2\/2 + 6*a + 6. Calculate y(4).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 2.6 + -11.7. Let d = x - -36.9. Let z = 30 - d. What is z rounded to zero dps?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 34206538?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = 3487*m + 539. What is the ten thousands digit of z(3)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = 20*k**3 - k**2 + k + 1. Calculate u(1).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = -2*p**2 + 171. Let m(v) = -173*v - 2. What is m(i(u))?\nAnswer: 346*u**2 - 29585","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 356451 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 4, d: 7}. What is prob of picking 2 d?\nAnswer: 21\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*-1*sqrt(190) + sqrt(190))\/(4*sqrt(30)\/sqrt(3) - sqrt(10)).\nAnswer: 2*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 13505198?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = -12*g**2 + 6*g + 4. Let a be (388\/(-97))\/(1*4). Let o(f) = f + 1. Determine a*p(t) + 5*o(t).\nAnswer: 12*t**2 - t + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*g**2\/23 + 83772*g\/23 - 40813498\/23 = 0 for g.\nAnswer: 493, 41393","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p\/(p\/p**(-3\/5))*p**(-4\/5))\/((p**(-4)*p)\/p*(p\/(p*p**(-1)))\/p*p) assuming p is positive.\nAnswer: p**(8\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 3157769158 to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Does -966 = -48?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Do -2\/973 and 7850 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 473 - 308. Let d = -98 + s. Is d a multiple of 23?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 87376 and 43688?\nAnswer: 87376","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*b - 4 + 4)*((0*b**2 + 2*b**2 - b**2)*(-2*b - 1 + 1) + 0*b**3 + 2*b**3 - b**3 - 3*b**3 - 7*b**3 + 21*b**3 - 2*b**3 + b - b).\nAnswer: 16*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 9, 529, 1963, 4767, 9397, 16309?\n\"Answer: 76*n**3 + n**2 - 15*n - 53","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 6 + -4. Suppose 5*i - m*d - 389 = 0, i - 33 - 42 = -d. Calculate the greatest common divisor of i and 7.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 70\/985149 and -55\/1612062.\nAnswer: 17732682","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Divide 53 by -8.\nAnswer: -53\/8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 77215729 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 87 and 29.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = 15*h**3 + 4*h**2 - 39*h + 31. What are the prime factors of c(8)?\nAnswer: 5, 1531","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y - 9 = -7*y. Suppose y*a - 5*j = -0*j + 380, 3*a - 340 = -5*j. Let b = -137 - -167. Calculate the highest common divisor of a and b.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.0385 + 0.0385. Let l = 24\/5 - 23\/5. Which is smaller: l or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 1 + 3)*(c**2 + c - c) + 0*c**2 - c**2 + 0*c**2 + (-4 + 2 + 1)*(-177*c**2 - 10 + 10) - c**2 + 0*c**2 + 2*c**2 + (c - 2 + 2)*(-2*c - 3 + 3).\nAnswer: 177*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z = 2*z - 33. Let s = z + 100\/3. What is the second biggest value in s, -0.2, -2\/9?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 2 + 0. Suppose -t*f = -f - 11. What is the units digit of f?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = 33*x**2 - 62*x**2 + 34*x**2. Let o(b) = 2*b**2. Give k(o(m)).\nAnswer: 20*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-11*r - 1729 + 1729 - 7*r**3)*(-5 + 4 + 2).\nAnswer: -7*r**3 - 11*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21*s - 17*s - 132 = 0. Calculate the remainder when s is divided by 9.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = -4*q - 39. Suppose 4*r - 6*r - 26 = 4*f, 0 = -r - 4*f - 17. Determine n(r).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -89 divided by -3.\nAnswer: 89\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 4080030 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 5015.912 milligrams?\nAnswer: 0.005015912","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -955000 to the nearest one million.\nAnswer: -1000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 11 - 15. Which is the second smallest value? (a) -3 (b) -1\/2 (c) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1 - -1078817191789\nAnswer: 1078817191790","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = -5*s**3 + 3*s**2 - 2*s. Let u(p) be the second derivative of p**5\/2 - p**4\/2 + 2*p**3\/3 - 3*p + 77. Calculate 5*k(w) + 3*u(w).\nAnswer: 5*w**3 - 3*w**2 + 2*w","meta":{"dup_signals":{},"source":"polynomials__add_test"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 430a7 + 788?\nAnswer: 43851","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 1\/10 of a kilometer?\nAnswer: 100000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g - 12 + 0 = 0. Let h = g + 3. List the prime factors of h + 7 + (-2 - -3).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 1 - 39b2?\nAnswer: -39b1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: (-4 + 4 - -11) + -8 + 1\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/20? (a) -108 (b) -0.4 (c) -0.108\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2858801472?\nAnswer: 2, 3, 73, 131, 173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -134400563, -134400566, -134400569?\n\"Answer: -3*p - 134400560","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 10487 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2093659 is divided by 205.\nAnswer: 199","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 134 a multiple of 68?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0 (b) -7 (c) 545\/13 (d) 5 (e) -0.127\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = -6*r**2 + 11*r + 11. Let y(h) = -h**2 + 2*h + 2. Let f(g) = 6*p(g) - 33*y(g). Let m(d) = 4*d. What is f(m(q))?\nAnswer: -48*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 308056849.\nAnswer: 131, 2351579","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 8 + -3. Suppose 3*u = 2*r - u - 18, a*u - 60 = -5*r. Calculate the remainder when (-2)\/(-6) + (-118)\/(-6) is divided by r.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vhmhmvhmvvvmvh. Give prob of sequence mh.\nAnswer: 8\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.244 greater than or equal to 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 391\/(-69)*(-24)\/(20\/5)?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 8 + 2. What is the remainder when 19 is divided by d?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 47387, 47344, 47301?\nAnswer: 47258","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express (0 - 3*o + 0)*(-o + 2*o + 2*o + (3*o + 2*o - 4*o)*(1 - 1 - 1) - 2*o + 2*o + 2*o) + 8*o - 8*o - 14*o**2 as s*o**2 + a + w*o and give s.\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = l - 6*l + 6*l + 0*l + l**2. Let v(d) = -d**2 - 2*d. Give -5*u(m) - 3*v(m).\nAnswer: -2*m**2 + m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = k**2 - 10*k - 11. Let r(y) = 2*y - 3. Let c be r(8). Let u be w(c). Suppose 0 = -5*p + p + u. Put -3, -1, p in increasing order.\nAnswer: -3, -1, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -8, -1, -0.4 in decreasing order.\nAnswer: -0.4, -1, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4396859805?\nAnswer: 3, 5, 13, 22547999","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-4744)\/(-20) + (-2)\/10. Find the common denominator of ((-1)\/(-6))\/(3\/u) and 1\/6*-1*79.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) be the first derivative of y**3\/3 - y**2 - 2*y + 38. Determine u(-2).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:32 AM and 2:55 PM?\nAnswer: 443","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put 14, 2, -0.2 in descending order.\nAnswer: 14, 2, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = 11*k + 7. Let p(z) = z. Let r(h) = 2*p(h) - u(h). Suppose 0 = -7*b + 8*b + 7. Is r(b) a multiple of 20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -6380\/3 - -38353\/18. What is the common denominator of u and 22\/117?\nAnswer: 234","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 102 + -112. Let a = 26 - o. Calculate the remainder when 71 is divided by a.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.8850901 millennia to years.\nAnswer: 885.0901","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = -6 + 3 + 34 - 74136*d + 74143*d. Calculate s(-4).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find d, given that 2*d**5 + 400*d**4 + 12234*d**3 - 12636*d**2 = 0.\nAnswer: -162, -39, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of r**6 - r**4 - 92*r**2 - 3?\nAnswer: 120*r**3 - 24*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 124083803 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i = 4*g - 40, 2*i + 4*g + 5 = 3*g. Let l = i + 5. Suppose -4*m - m = l. Solve 5*z = 7 + 13, 3*b + z - 1 = m for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + -5*(sqrt(153) - ((sqrt(153) - (5 + 0 + sqrt(153)))**2 - sqrt(153)) - (sqrt(153) + sqrt(153) + 0 + sqrt(153) + 2))*3.\nAnswer: 45*sqrt(17) + 403","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -21365 or -5498?\nAnswer: -21365","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Work out 128639 + -4.\nAnswer: 128635","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 8.268 - 9.2242. What is w rounded to two dps?\nAnswer: -0.96","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 12\/(-4) + 5 + 0\/2. Suppose -7 - 13 = -f*x - 5*r, 3*r - 10 = -x. Calculate the remainder when 38 is divided by x.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 21*o + 4*o + 16 - 1 + 26*o - 40*o + 7*o.\nAnswer: 18*o + 15","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 655 - 519. Let b = m + -133. What is the greatest common divisor of 39 and b?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = -p**3 + 55*p**2 + 232*p + 243. Let a be n(59). What is the highest common factor of 2184 and a?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 501965587 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -100*l**5\/3 + 56180*l**4\/3 - 487996*l**3\/3 + 750556*l**2\/3 - 380576*l\/3 + 61936\/3 = 0. Calculate l.\nAnswer: 2\/5, 1, 7, 553","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r = -11*r. Let c(n) = r*n + 25 - 4 - 5 - n. Let f(x) = -2*x. What is f(c(m))?\nAnswer: 2*m - 32","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -ac6a2 (base 15) to base 13\nAnswer: -162713","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 127698 + -127698.8330381. Let p = -0.833 - w. Round p to five dps.\nAnswer: 0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -74*r + 9461 - 13942 + 10289 = 190*r for r.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.98 - -0.97765. What is v rounded to four dps?\nAnswer: -0.0024","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 3 - 21. Let y(v) = -v - 19. Let m be y(j). Let t be (-12)\/(-36) - m\/(-3). Which is the second biggest value? (a) -0.3 (b) -4 (c) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t + 10 = -0*t, h + 5*t + 8 = 0. What are the prime factors of h?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = 20*h + 17. Let w(x) = 7*x + 6. Let g(r) = -6*q(r) + 17*w(r). Suppose -4*a = -3*a - 4. Let d(i) = 4 - i**2 - a. What is g(d(s))?\nAnswer: s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = -k**3 + 22*k**2 + 20*k - 99. What is the tens digit of f(21)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 11\/2 of a centimeter?\nAnswer: 55000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20*c + 71 = -9. Solve 4*x + 5*b = -5, -c*b + 10 - 45 = -3*x for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -66 divided by 22\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -15 + 25. Let r = 4 + q. Find the first derivative of r*d + 6 + 7 + 14 - 8 wrt d.\nAnswer: 14","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = -4*z - 2. Suppose 0*l + 2*l = 4. Let g be q(l). What is the units digit of (g\/(-3))\/((-3)\/(-9))?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 6 - 3. Let u be 2 + -6 + 8 + 1 + 0. Solve 0 = m*l + 4*h + 3 - 2, 0 = u*l + h - 21 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-12)\/16)\/((-45)\/40)*156. Suppose 7*a + d = 20*a. Let z(x) = x**2 - 2*x + 2. What is the remainder when a is divided by z(3)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 3 (b) 0 (c) -3 (d) 0.48\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 - (-1 - (12 - (10 + 3)))?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u*u*u**(-3))\/(u\/((u*u**(-6)*u)\/u)))**(-3\/2)\/(u*u**0*u*u\/(u\/u**(-4\/3)))**39 assuming u is positive.\nAnswer: u**(-31\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round -1322.199708 to one decimal place.\nAnswer: -1322.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {e: 3, y: 12}. Give prob of picking 2 y and 1 e.\nAnswer: 198\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence dz when two letters picked without replacement from zxeinid.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Add together -9 and 1398388954.\nAnswer: 1398388945","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.4 times -5185868?\nAnswer: -2074347.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((0 + 6)\/(-3))\/((-14)\/4). Put -0.2, -3, 3.2, a, -2\/17 in decreasing order.\nAnswer: 3.2, a, -2\/17, -0.2, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.01 and -14332.\nAnswer: 143.32","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2912173?\nAnswer: 11, 264743","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -8 - -5. Let i = 1 + y. Let q(r) = r**2 - 1. Let v(f) = -2*f**4 - 8*f**2 + 10. Let h(g) = i*v(g) - 20*q(g). What is the third derivative of h(s) wrt s?\nAnswer: 96*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = -f + 12. Let t be h(7). Suppose 3*s = t*o + 20, o = s + 4*o + 12. Let i be 1*(s - (-3 - -3)). Let q(v) = -v. Calculate q(i).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 71 (base 11) to base 13.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in 6587.377 milliseconds?\nAnswer: 6587377","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 3342 a factor of 60446754?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 s and 1 a when two letters picked without replacement from {a: 1, s: 3}?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 180*u + 6315 = 185*u. Which is smaller: u or 1264?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-420196)\/(-166152) - 5\/2.\nAnswer: 2\/69","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = 14 + 31 + 8*d + 12*d + 106 + 2*d. Is s(-4) a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x - 4 = 18. Find the second derivative of -x*d + 20*d + 2*d + 6*d**3 wrt d.\nAnswer: 36*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 4399316204?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q - 2*r = -7, -14 + 16 = -4*q - 2*r. What is the nearest to q in 4\/7, 3, 23, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = a**3 + 2*a**2 - 3*a. Determine u(2).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = 3*n**2 + 6*n - 3. Let z be i(-3). Solve v - 7 = -3*o, 5*o - z*v - 40 = -2*v for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 9910, 9915, 9930, 9961, 10014?\nAnswer: 10095","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 10110002110212202 + 10?\nAnswer: 10110002110212212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.22 + 0.17. Let o = j + 1.05. What is the third smallest value in o, -0.4, 1\/5?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((l - 2*l - l)*(0 - 2*l + 0) + l**2 + 0*l**2 - 3*l**2)*(-8 + 21 - 8 - 37).\nAnswer: -64*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a - 2*h - 18 = 0, a - 5*a + 27 = -5*h. Let m(l) be the second derivative of l**5\/20 - l**4\/3 + l**3\/2 + 3*l**2\/2 - l. List the prime factors of m(a).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 67 and 22579.\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 4996 to the power of 1\/2, to the nearest integer?\nAnswer: 71","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = -36*b + 256. Let c be m(7). What is the second smallest value in c, 3\/7, -10\/9?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 6 + -1. Suppose -l + 2*l - 1 = -s, -2*l + b*s = 5. Suppose 420 = -109*v - 16. What is the nearest to l in -3, v, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ei when two letters picked without replacement from {i: 4, x: 4, d: 6, e: 4}.\nAnswer: 8\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-16)\/12 + 2\/(-12). Let j = -723 - -723.03. Which is the closest to -2? (a) j (b) q (c) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = -11*r - 113. What is y(-10)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 33763 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = -a - 3. Let i be (1 - -1)*44\/(-8). Let y be v(i). What is the greatest common divisor of 12 and y?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 b and 1 y when two letters picked without replacement from {z: 1, u: 10, b: 2, f: 2, y: 4}.\nAnswer: 8\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -19, -54, -147, -328, -627, -1074, -1699, -2532?\n\"Answer: -5*w**3 + w**2 - 3*w - 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_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: What is the greatest common factor of 103 and 309?\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = -3*p**3 - 9*p**2 - 7*p + 19. Let a(v) = -v**3 - 3*v**2 - 2*v + 6. Let z(i) = -7*a(i) + 2*m(i). Give z(-3).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 30373*h**3 + 1 - h**4 - 6*h**2 - 30369*h**3 + 5*h**2 - 2*h as y*h**3 + r*h**4 + q*h + g + a*h**2 and give a.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is -469923418\/5 bigger than -93984683?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = -g**2 - g + 1. Suppose -42*f + 71 = 29*f. Let u(q) = 9*q**2 - 3*q - 4. Let a(k) = k**2 - k. Let v(p) = 21*a(p) - 3*u(p). Calculate f*v(t) - 12*r(t).\nAnswer: 6*t**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -3 + -1526?\nAnswer: -1530","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 r when two letters picked without replacement from xhzzrzxxzxzzxzvr.\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 6824 to the power of 1\/3, to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5929.478mg to tonnes.\nAnswer: 0.000005929478","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = -113*f**2 + 182*f - 32. Let a(o) = 110*o**2 - 182*o + 40. Let s(j) = 4*a(j) + 5*n(j). Find the second derivative of s(m) wrt m.\nAnswer: -250","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 1296*r - 1292*r - 20 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 98419281\/214772 - 3\/53693. Let u = w + -458. Sort 3, -73, u, -0.5.\nAnswer: -73, -0.5, u, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 30, 0.4, -3\/8, 2?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) be the second derivative of v**3\/6 - v**2\/2 + 20*v. Let o be h(3). Let n(f) = f**3 - 2 + 2*f**2 - 8*f - 7*f**o + 0*f**2. Calculate n(6).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 175 a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*(sqrt(13) - (sqrt(13) + sqrt(1300) - sqrt(13))))**2 + (sqrt(13)*5*-1)**2.\nAnswer: 4537","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = 8767*w - 7831. Let z(n) = 8812*n - 7829. Let o(i) = 5*c(i) - 4*z(i). What is the derivative of o(j) wrt j?\nAnswer: 8587","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -67\/158560 and 13\/4090848?\nAnswer: 20454240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-75 + 145 - -21) + -3.\nAnswer: 88","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = -5*v + 4*v - 4*z, 0 = 4*v - 5*z - 31. Let b be 1\/(210\/52 - v). Calculate the remainder when (21\/2 - -1)\/(13\/b) is divided by 13.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 65 and 858.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b + c + 213 = 0, 2*c + 13 = b - 17. What is the smallest common multiple of 3740 and b?\nAnswer: 3740","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2889788750 divided by 5?\nAnswer: -577957750","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.093 + 0.293. Let d = -16\/3 + 182\/33. Sort x, d, 0.3.\nAnswer: d, x, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 194940 divided by -4?\nAnswer: -48735","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g*g**(1\/14)*g*g*g)\/g**(-4\/3)*(g\/g**1)**(-1\/4))**(-28\/9) assuming g is positive.\nAnswer: g**(-454\/27)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {p: 1, q: 2, x: 1, k: 2}. Give prob of sequence kkx.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = 6*d - 1. Let j(m) = 5*m - 1. Suppose 4*l - 60 = -5*o - 19, 2*l = 8. Give o*j(w) - 4*a(w).\nAnswer: w - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = -11804*u - 70789. Determine i(-6).\nAnswer: 35","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = -l**3 + 13*l**2 - 18*l + 74. Let v be j(12). Solve 0 = 2*w + 3*c + 9, -w + 2*c = -v*c - 12 for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*t = 5*z + 30, -5*t = 104*z - 101*z + 18 for z.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(693) + (sqrt(693) - -1*sqrt(693) - sqrt(693))*-2 - sqrt(693))\/(sqrt(11) + sqrt(176)*2).\nAnswer: -2*sqrt(7)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = -3*d**3 + 4*d + 6. Let v(c) = -3*c**3 + 3*c + 5. Let j(h) = 3*s(h) - 4*v(h). What is the first derivative of j(f) wrt f?\nAnswer: 9*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -11*q + 24 + 20 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = 357*d**4 + 8*d**2 - 7*d - 49. Let s(j) = 359*j**4 + 7*j**2 - 6*j - 47. Let m(b) = -6*l(b) + 7*s(b). Find the third derivative of m(q) wrt q.\nAnswer: 8904*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(847) + sqrt(847) + -1 + 4)*1)**2*-1.\nAnswer: -3397 - 132*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = v**2. Let n(f) = -97*f + 6. Let b(r) = -5. Let d(z) = -1. Let o(g) = b(g) - 6*d(g). Let i(u) = -n(u) + 6*o(u). What is k(i(l))?\nAnswer: 9409*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Add together -350171087.1 and -18857.\nAnswer: -350189944.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 103 minutes after 7:48 AM?\nAnswer: 9:31 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*j - 3*z + 197, 3*j - 3*z - 108 = 15. Suppose v = 3*v + 5*k - 33, 3*v = 2*k + j. List the prime factors of v.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 22472 - 7612 - 15*q - 7620 - 7240.\nAnswer: -15*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 m when two letters picked without replacement from mmmed.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 271 to the power of 1\/3, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = 1 - 11 - 623*w + 622*w. Determine u(-10).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = -39*d + 6*d**3 - 13*d**3 + 36*d**2 + 13*d**3. Let x(s) = -7*s**3 - 35*s**2 + 38*s. Let u(p) = -4*h(p) - 3*x(p). Suppose u(r) = 0. Calculate r.\nAnswer: -14, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 b and 1 f when two letters picked without replacement from eafefeeaeaabaqeefb?\nAnswer: 2\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = 4*o - 1. Let l be k(1). Differentiate 0*w + 1 + 3*w**l + 0*w with respect to w.\nAnswer: 9*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) be the third derivative of o**4\/24 - 7*o**3\/6 - o**2. Suppose 27*r = 22*r + 25. Let z be d(r). Let c(n) = -n**3 - 2*n**2 - 3*n - 1. Determine c(z).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 14, -127, -2\/7, 2\/9 in descending order.\nAnswer: 14, 2\/9, 0, -2\/7, -127","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -35 + 43. Solve -6 = -2*s - 6*w + 2*w, 2*w = 4*s + x for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -10101001100 (base 2) to base 15\nAnswer: -606","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = -75*y - 10708. Give i(-143).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = -t**2 - 6*t - 1. Let i be n(-5). Let g = -1 + i. Factor -3\/4*b**g - 5\/4*b**2 + b**4 + 3\/4*b + 1\/4.\nAnswer: (b - 1)**2*(b + 1)*(4*b + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.362 + -0.43. Let g = 0.0680062 + f. What is g rounded to six decimal places?\nAnswer: 0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 169 and 33.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 549854 to the power of 1\/8, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -2 + 2c85?\nAnswer: 2c83","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*h = -s - h - 4, -2*h = 4*s - 4 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y - 3*c = -y + 19, 5*y = -2*c. Let s be ((-112)\/20)\/((-1)\/1105). Suppose 0 = 6*n + y - s. Is n composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 9984 and 32.\nAnswer: 9984","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -18*m**3*u**2 - 4*m**3 - 2*m**2*u - 1579*m*u**3 - 4*m*u + 14*m - 49*u wrt u?\nAnswer: -36*m**3 - 9474*m*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 15037820 and 46.\nAnswer: 345869860","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -173 + 47. Let h = 148 + o. Solve -3*k + 11 = 4*c, -2*c + h = -0*c - 4*k for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-8)\/(-12))\/(-2)*1\/(75\/18)?\nAnswer: -2\/25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 m and 1 r when four letters picked without replacement from {m: 16, r: 4}?\nAnswer: 448\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-12)\/(-30) - (-2 + 22\/5). Let r be 437\/161 + l\/(-7). Solve -16\/5*y**5 - r*y**3 + 2\/5*y**2 + 0 - 32\/5*y**4 + 1\/5*y = 0.\nAnswer: -1, -1\/4, 0, 1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 121221202111212 (base 3) to base 9.\nAnswer: 17852455","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 9, -2, -29, -78, -155?\nAnswer: -266","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) be the third derivative of 0*q + 0*q**6 - 1\/60*q**5 + 0*q**4 - 1\/2*q**3 + q**2 + 41 + 4\/15*q**7. Find the third derivative of t(k) wrt k.\nAnswer: 1344*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 (base 14) in base 9?\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 51815.3l to millilitres.\nAnswer: 51815300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -47*i - 48*i + g + 33 = -90*i, -5*i + 9*g + 189 = -4*g for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 12 + 111022212122122?\nAnswer: 111022212122211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = -7313*w - 22018. What is r(-3)?\nAnswer: -79","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = 9*z**3 - 697*z**2 + 303*z + 297. Determine t(77).\nAnswer: -88","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 108.7 + -109. What is the closest to -0.04 in -23, m, 3?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2964916 by 3.\nAnswer: -2964916\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 36947, 39845, 44675, 51437, 60131?\nAnswer: 70757","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:40 AM and 10:10 AM?\nAnswer: 570","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.5 + 0.7. Let h = -53\/4 - -13. What is the nearest to h in q, 13\/5, 2?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 17976?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3*o**3 + o**3 + o**3)*(-21 - 3 + 1 + (1 - 1 + 1)*(1 + 3 - 2) + 1 + 1 - 1) - o**2 + o**2 - o**3 to i*o**3 + x*o + u + y*o**2 and give i.\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 36 times -0.024\nAnswer: -0.864","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 12*j - 27*j + 1 + 13*j - 3 + 14*j + 5*j**4 to the form z*j + o*j**2 + x*j**4 + g*j**3 + k and give x.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 41*(-8)\/(-2296)*(-1)\/((-2)\/(-66))\nAnswer: -33\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = -3*r - 11. What is the smallest common multiple of c(-7) and 9?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = -4*u**3 + 33*u**2 + 3. Let x(h) = -3*h**3 + 34*h**2 + 2. Let g(s) = -2*l(s) + 3*x(s). What is the third derivative of g(a) wrt a?\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 44849?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(-3))**(8\/11)\/(l*l**(-3\/2)*l**(-1\/4)) assuming l is positive.\nAnswer: l**(-63\/44)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 108 + 1 - 1 - 0. Let x = -56 + 55. Does 18 divide (1\/x)\/((-2)\/j)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/14 less than or equal to 7\/18?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 158189 is divided by 52719.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 39673 to the nearest integer?\nAnswer: 199","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -2098602048.50000049 + 2098602135.5. Let y = 0.6 + -87.6. Let l = y + k. What is l rounded to seven dps?\nAnswer: -0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = n + 1. Let v(d) = -3*d - 3. Let c(z) = -7*f(z) - 2*v(z). Let u(j) = -5*j - 11. Let r(s) = 2. Let m(a) = 4*r(a) + u(a). What is -6*c(o) + 2*m(o)?\nAnswer: -4*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-84 - 171*s**2 + 84)*(-2 - 2 - 1).\nAnswer: 855*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-117)\/6)\/(2\/(-8))*9. Suppose g = 8*s - 186. Let p = s - 87. Calculate the remainder when 67 is divided by p.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 16548*k - 8037*k - 8445*k.\nAnswer: 66*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x - 15 = -a, -4*a - 55 = -9*a + 5*x. Suppose -4 = -3*z - a. Let u = 4 + z. Solve -3*k = t + 7, -u = t - 0 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -709.8876 rounded to the nearest ten?\nAnswer: -710","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t - 1170 = 3*y, 7*t = 8*t - 2*y + 298. Let k = 391 + t. Is 3 a factor of k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 61386 is divided by 1860?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 355 minutes before 5:29 PM?\nAnswer: 11:34 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -30 - -26. Let w = -18 - -10. Let x = w + 8.06. What is the closest to 2\/5 in x, 0, k?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = -4*h - 8. Let v(k) be the second derivative of 7*k**3\/6 + 8*k**2 - 1714*k - 2. Give 5*f(a) + 2*v(a).\nAnswer: -6*a - 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*j - 25, 5*y - 420 = 4*j + 1495. What is the tens digit of y?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 r when two letters picked without replacement from jjrrjj?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 149907172?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-1 - -1 - 10\/20)*-16. Suppose 140 = v - q*v. Find the common denominator of 71\/32 and (-630)\/56*3\/v*12.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-3 - -14) + 81 + -29 + 27 + -18\nAnswer: 72","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 2, u: 1, n: 1, r: 1, m: 1, i: 2}. What is prob of sequence rc?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 14699 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 1277 divide 10404996?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 16.19862 micrograms in milligrams?\nAnswer: 0.01619862","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 56 and 14?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(112)*3*-6 + sqrt(77)\/(-4*sqrt(77)\/sqrt(7)))*-2)**2.\nAnswer: 584647\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(1053)*-3 - sqrt(1053)) + 3)**2.\nAnswer: -216*sqrt(13) + 16857","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 237475\/11305 + -21 + (0 - (-8)\/152).\nAnswer: 1\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((b**(-11)\/b)\/(b*b**(3\/14)))**0)**41)**(-2\/111) assuming b is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 91 + -94. Let d be (-3)\/(g\/4 - 0). Solve 4*v**4 + 12*v**4 - 12*v**d + 8*v**3 = 0.\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 19092 a multiple of 43?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 31 + 26 + 22*x**2 + 27 + 33 - 117.\nAnswer: 22*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*t + 0*t = 0. Let o = -0.03 + -2.97. Sort 1, o, t in decreasing order.\nAnswer: 1, t, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 10215857 and 377837.\nAnswer: 7129","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 3 + -6. Let q be ((-22)\/(-3))\/2 + j. Factor -8\/3*f - q*f**2 - 8\/3.\nAnswer: -2*(f + 2)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = 41*b**2 - 17*b - 748. Let h(a) = 10*a**2 - 4*a - 187. Let n(w) = -2*c(w) + 9*h(w). Find the first derivative of n(o) wrt o.\nAnswer: 16*o - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3672*r + 3657*r - 135 for r.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Total of -9941 and 3464936206.\nAnswer: 3464926265","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*b = 36*b - 228. Let x be (-92)\/32 + 30\/b. Sort 1.2, -5, x in decreasing order.\nAnswer: 1.2, x, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 305 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 58.8 - 68. Let c = -9.161 - k. Let q = c + -0.038961. Round q to five decimal places.\nAnswer: 0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 + 1 = 2*d + 4*c, d - 4 = -c. Calculate the greatest common factor of 27 and d.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -1 - -1201?\nAnswer: 1200","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 d and 1 c when two letters picked without replacement from kkuduc.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -d**2 - 10*d**2 + 18*d**2 + 19*d**2 - 17*d**2.\nAnswer: 9*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 17\/103356 and -149\/1848924.\nAnswer: 16640316","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = -o**3 + 27*o**2 - 21*o - 124. Calculate n(26).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -22336942 + 94363942. What is d rounded to the nearest 1000000?\nAnswer: 72000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s - 105600 = 3*s - 21*s. Is s a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = 11275*j**3 + 1 - 2 - 11274*j**3 - j. Let n(x) = -36*x**3 + 6*x + 6. Determine n(p) + 6*y(p).\nAnswer: -30*p**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -6 - -10. Let j = 218 + 43. Let y = 260 - j. Which is the third smallest value? (a) y (b) 1\/5 (c) -2\/5 (d) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.34 and -172.54.\nAnswer: 58.6636","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 o and 1 b when three letters picked without replacement from boooubbbbbbbubbbb?\nAnswer: 9\/170","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) be the second derivative of -a**3\/3 + 4*a - 1. Let s(v) = 468*v**2. Calculate s(y(b)).\nAnswer: 1872*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor 12*m**2 + 16*m + 8*m**2 - 16*m**2 - 4*m.\nAnswer: 4*m*(m + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*v**4 + 0*v**4 + 2*v**4 + (-2*v + v - v + (2 + 0 - 4)*(2*v - 1 + 1) + 5 - v - 5 - 3*v + v + v)*(-v**2 - 4*v**3 + v**2).\nAnswer: 30*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -9 or -52\/17?\nAnswer: -52\/17","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Do 344 and 344 have the same value?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 313, 306, 293, 274, 249, 218, 181?\nAnswer: 138","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -43*n = -2007*p + 2008*p - 191, 91 = -14*n + 13*n + 5*p for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = -z**3 + z**2 - 116*z - 231. Calculate k(-2).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 404*r**5 + 3*r**4 - 4*r**3 + 12863*r**2 wrt r.\nAnswer: 24240*r**2 + 72*r - 24","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = -2196*o - 906. Let k(v) = -2209*v - 906. Let y(d) = -3*k(d) + 4*w(d). Differentiate y(t) with respect to t.\nAnswer: -2157","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -911 - -2482. List the prime factors of a.\nAnswer: 1571","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -11757 by 3.\nAnswer: -3919","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bj when two letters picked without replacement from epppbebeeeeelzjelle.\nAnswer: 1\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = -j**3 + j**2 - 1. Let r be a(-1). Suppose -n = 2*o - 2, o - r - 9 = -2*n. Which is greater: n or 1?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 665536.\nAnswer: 2, 10399","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9465975.\nAnswer: 3, 5, 42071","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 211 plus -0.082?\nAnswer: 210.918","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*l + 65090 - 65103 = -5*r, -11 = -3*r + 5*l for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2*sqrt(190) + sqrt(190) + sqrt(190))\/sqrt(5) - ((sqrt(152) + sqrt(152)*1 + sqrt(152))\/sqrt(4) + sqrt(38)))\/((4*sqrt(320))\/(2*1*sqrt(10))) + 0.\nAnswer: -sqrt(19)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (11 - 15 + 19)*(0 + 0 - 1)*(-5 + 5 - 4)*(d**3 - d**3 - 2*d**5).\nAnswer: -120*d**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l - 5*h = -66, 5*h + 70 = 3*l + 3. Let f(b) = b**3 - 12 + 3*b + 58 - 29 + l*b**2. Is f(-16) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/7 in -0.5, -2\/17, 1\/3, 2?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 14807 and 2002362.\nAnswer: 26030706","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 414703.6 tonnes in nanograms?\nAnswer: 414703600000000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -43\/1164 and -7\/29488?\nAnswer: 88464","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Divide 465 by 9994.\nAnswer: 465\/9994","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 420 = b + 3*b. Suppose 0*r = 5*r - b. Calculate the remainder when 82 is divided by r.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -10222326, -20444686, -30667046, -40889406?\n\"Answer: -10222360*r + 34","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = -2*f**2 - 39*f + 36. Calculate k(-15).\nAnswer: 171","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7 + 59 - 32 + 25*t - 34.\nAnswer: 25*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = -a**3 + 13*a**2 - 2*a + 18. Let k be v(13). Let o(r) = 0 + 2*r + 0*r + 9 - 5*r. What are the prime factors of o(k)?\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*a - 4 - 4. Solve -o - a*h = -2*o + 11, 0 = 4*o - h + 16 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 78, 60, 6, -102, -282, -552, -930, -1434?\n\"Answer: -3*s**3 + 3*s + 78","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 593234 to the nearest integer?\nAnswer: 770","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -15774099*k**3 - k**2 + 947*k - 119.\nAnswer: -94644594","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-4)\/(6 + -2) - -7. Suppose -26 = -5*z + 4*p, -5*z = -0*p - 3*p - 22. Solve -4*v - u = y, z*y - 2 = v + 4 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -216*j + 186*j + 210 = 0 for j.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 13991563 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -12 take away -1626.595?\nAnswer: 1614.595","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 41 at least as big as 125696?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = -122*x - 11*x**2 - x**3 + x**2 - 12 + 99*x. Let p be v(-7). Suppose 3*q + 3*z = z + 32, 5*q = -5*z + 60. Solve -q + 2 = p*m for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 230178900 to the nearest 1000000.\nAnswer: 230000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0 + 6 - 5)*(288*q**2 - 8*q**2 - 1 + 1 - 1013*q**2) to c*q**2 + x*q + m and give c.\nAnswer: -733","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 25 + -11122?\nAnswer: -11053","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-195)\/78)\/(5\/(-4)) - -4. Let s(y) = -4*y**2 + y + 3. Let o(b) = 7*b**2 - 2*b - 7. Let z(l) = 3*o(l) + 5*s(l). Give z(v).\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = 2*y**2 + 2*y + 3. Let k be (4\/(-3))\/((-11)\/33). Suppose 3*d + 6 = 3*p - 12, 0 = k*d + 5*p - 3. What is the remainder when 55 is divided by z(d)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1383 is divided by 206?\nAnswer: 147","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 divided by 168561616.\nAnswer: 1\/84280808","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = 6*y - 3. Let g(c) = -c**2 + 17*c. Calculate g(u(o)).\nAnswer: -36*o**2 + 138*o - 60","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**26*b**35)\/(b\/(b*b*(b*b**(-31))\/b)*b\/(b\/((b*b\/(b*b*b**(-3)))\/b))) assuming b is positive.\nAnswer: b**29","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 284 - 280. Suppose 7*w = -9 - 5. Sort 0.01, i, w in decreasing order.\nAnswer: i, 0.01, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 56.09 + -56. Let s = 1\/5 - -3\/10. What is the closest to 0.1 in s, y, -4?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 5894179 and 5894179 equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Are 0 and 130495868 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20 = -0*j + 5*j + 5*f, 0 = j - 2*f - 10. Suppose 4*r = j*r + 12. Let q(y) = -y**3 - 5*y**2 + 5*y - 6. Determine q(r).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 divided by -74.\nAnswer: 5\/74","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -37 - 5 = -6*t. Is t >= 7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1206839353 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 189 + 26. Let k = 175 + b. What is the units digit of k?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -b5363e - 2?\nAnswer: -b53641","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 490 and 11890781.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + sqrt(1053) + (sqrt(1053) - sqrt(1053)*-1) - (4 + 1 + 1*sqrt(13)))**2.\nAnswer: -260*sqrt(13) + 8813","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 p and 1 f when two letters picked without replacement from {p: 1, l: 1, f: 3, d: 1, s: 1}.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = 696*a - 6285. Give c(9).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -141\/96740 and 151\/15420?\nAnswer: 74586540","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = 7*h**3 + 2*h**2 - 4*h + 3. Let n be s(1). Let f(a) = a - 5. What is f(n)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**8)**(-3\/17)\/(m**(1\/10)\/(m*m**(-5)\/m)) assuming m is positive.\nAnswer: m**(-1107\/170)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 114455 divided by -22891.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = -4*p + 14. Suppose 2*m + 4 = p*m. What is the units digit of (m\/4)\/(2\/18)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 53540 and 1200.\nAnswer: 3212400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x\/((x*x**(2\/3)\/x)\/x))**(-2\/43) assuming x is positive.\nAnswer: x**(-8\/129)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -4\/749 or -1\/6?\nAnswer: -4\/749","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -54.91 + 114.25. Round s to the nearest 10.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) be the first derivative of -14*o**5\/5 - o**3\/2 - o**2 + 62*o + 72. Let w(s) be the first derivative of h(s). Find the second derivative of w(q) wrt q.\nAnswer: -336*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -10 (b) -4 (c) -63 (d) -1642\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Divide -253394680 by -329084.\nAnswer: 770","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Determine l, given that 15*l**5\/2 - 470091*l**4\/2 + 4417269*l**3\/2 + 8180931*l**2\/2 - 59543400*l + 23027550 = 0.\nAnswer: -5, 2\/5, 7, 31330","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 3272806283 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 1669 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 241 is divided by 49?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort 6, 4, -38, 2 in descending order.\nAnswer: 6, 4, 2, -38","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3148050630.\nAnswer: 2, 3, 5, 29, 1367, 2647","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 l and 1 t when four letters picked without replacement from yltylytltlllyyyll.\nAnswer: 6\/85","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 3431168 to the power of 1\/2, to the nearest integer?\nAnswer: 1852","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2\/11 + 6\/11*s**2 + 10\/11*s - 18\/11*s**3.\nAnswer: -2*(s - 1)*(3*s + 1)**2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 246 and 902?\nAnswer: 2706","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify w**(1\/5)\/w*w**(-3)*(w**0)**(-1\/5)*(w\/((w**(2\/11)\/w)\/w)*w*(w\/w**(1\/5))\/w)\/((w*w*w*(w\/((w*w**(4\/5))\/w))\/w)\/(w*w**(-4))) assuming w is positive.\nAnswer: w**(-296\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 680, 707, 734?\n\"Answer: 27*d + 653","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 33*v + 59*v - 6164 = 0. What is the tens digit of v?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3*((-8)\/(-4))\/((-24)\/4)*57\/(-931)?\nAnswer: -3\/49","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 309834 and 468.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -53873824\/1035 + 52052. Let r = 12\/115221733 + 2789633352823\/238508987310. Let n = b - r. What is the common denominator of 101\/6 and n?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 215383379 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -6530 times 16?\nAnswer: -104480","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -255 = -5*g - 2*l, 3*g - 2*g - 3*l = 68. Let j = 39 - g. List the prime factors of (-66)\/j - 5 - 590\/(-7).\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 4, s: 15}. What is prob of picking 1 q and 1 s?\nAnswer: 20\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -605, 1217, 6145, 15733, 31535, 55105, 87997?\nAnswer: 131765","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 552660 (base 8) in base 3?\nAnswer: 100102211121","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -26, -5, -732 in decreasing order.\nAnswer: -5, -26, -732","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = -t + 2*z, -4*t + 0*z + 5*z = -7. Let m(a) = -2*a - t*a**2 + 2*a - 5*a**2. Determine m(1).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = -8*v + 18. Let o be g(8). Let q = o + 46. Let r be (0 + q)\/((1 - -1)\/2). Put 3, r, -4, 1 in decreasing order.\nAnswer: 3, 1, r, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -7 - -18. Let o = 0 + i. Calculate the lowest common multiple of o and -2 + (2 - 3 - -4).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s + 4245 = -4*s + 5*f, 0 = 2*s + 3*f + 1673. Let u = s - -1109. List the prime factors of u.\nAnswer: 5, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 49 divide 51055?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -88750 - -88731. Let d = -0.2 - -2.2. Is d less than or equal to g?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:54 AM and 2:19 PM?\nAnswer: 505","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*s - n - 5, -3*n = -8*s + 11*s + 15. Let q be (2\/1 - s) + 4410\/3087. What is m in -q*m**4 - 24\/7 + 75\/7*m**3 + 3\/7*m**5 - 114\/7*m**2 + 12*m = 0?\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(-2*(-3 + sqrt(171) + 4))**2.\nAnswer: 96*sqrt(19) + 2752","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 60 - 50. Let k(g) = g**2 - 8*g - 15. Let v be k(b). What is the closest to v in -4, -3, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) be the first derivative of -2*j**4\/3 + 2*j + 1. Let v(h) be the first derivative of s(h). Let k(m) = 0*m**2 + 2*m**2 + 0*m**2. What is v(k(o))?\nAnswer: -32*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -2.3 * -592\nAnswer: 1361.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 2 and 588454?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express 4 - 43*g - 38*g + 75*g as u*g + y and give y.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 6\/5 of a litre?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 149*u + 2981201 - 2981201.\nAnswer: 149*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -3*(-2)\/(-15) - 176\/(-40)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 145 - 70. Is 37 a factor of g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-4)\/(-10) + 522\/45. Let b = g + -5. Solve 0 = 2*q - b*q for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 5391, 5392, 5393?\n\"Answer: r + 5390","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 + (-3)\/2*24\/9?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.15*-0.129.\nAnswer: -0.01935","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (5\/((-20)\/(-28)) + -4)\/1. Solve -z*x + 3 - 15 = 0 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -1\/107, 3, -0.2, 30\/29, -2\/25, 2?\nAnswer: -1\/107","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*m - 54*m = 72*m + 744 for m.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 1232212 (base 6) to base 3\nAnswer: 10101100222","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 6729.6 rounded to the nearest one thousand?\nAnswer: 7000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is -67103917\/5 < -13420783?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h = -8, 4328 = 4*t + 5*h - 1136. Is t a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n - 1276 = 606. List the prime factors of n.\nAnswer: 2, 941","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(-3)*(a\/a**(-13))\/a)\/(a**(-4\/7))**(-1\/23) assuming a is positive.\nAnswer: a**(1606\/161)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -3 - (4 - 155\/20). Let y = -1.08 + -1.92. Sort 0, 1\/3, d, y in decreasing order.\nAnswer: d, 1\/3, 0, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 119814514?\nAnswer: 2, 439, 136463","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 889 a factor of 1219528422?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s = -7*s + v + 46, -2*s + 52 = -4*v. Calculate the smallest common multiple of s and (-3)\/6*(-1 - 31).\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (6\/(-15))\/((-9)\/(216\/1736)*10\/(-175)).\nAnswer: -3\/31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -445*p**3 + 37*p**2 + 23464*p - 1 wrt p.\nAnswer: -2670*p + 74","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + sqrt(7) + sqrt(28))**2 - sqrt(21)\/sqrt(3)*-2.\nAnswer: -28*sqrt(7) + 88","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -844 - -849. Let j(w) = w**2 + 8*w - 4. Let h(z) = 3*z - 1. Let g(l) = -3*h(l) + j(l). Let q(v) = -8*v - 5. Calculate t*g(b) - q(b).\nAnswer: 5*b**2 + 3*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 177 - -143. Do 318 and r have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-66)\/(-9))\/((-2)\/(-9)) a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*u - 4*d - 16, -3*u + 0*u + 2*d + 14 = 0. Suppose u*z = 3*z. Suppose -5*s + 15 = 5*q, z*s + 12 = 3*s. Which is smaller: 0 or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 4\/((-36)\/219) + (-10)\/6. Let t = u - -21. Let w(i) = -i - 7. Give w(t).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00442396538 rounded to three decimal places?\nAnswer: 0.004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -233 + 21?\nAnswer: -212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 2*(-2)\/(-84)*3. Let h = -12 - -5. Which is the nearest to 0.1? (a) 1 (b) h (c) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.0301 + -0.4301. Which is the nearest to w? (a) 0.3 (b) 1\/3 (c) 8\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 9? (a) -1\/5 (b) -3\/4 (c) 18\/13 (d) 4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (5 + -3 + 27)*2764\/4?\nAnswer: 29, 691","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c + 38 = 5*w, c + 16 = 3*w + 2*c. Suppose 29 = -5*a - 3*h, -3*h + 0 + w = 0. Let g(p) = 3*p**2 + 11*p + 10. What is the tens digit of g(a)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = 29203*b + 87600. What is z(-3)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-32)\/42)\/4*231\/(-198)?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = -12*q**2 - 4*q - 15. Let h(i) = i**2 - i + 1. Let a(n) = -3*h(n) - y(n). Is a(-3) a multiple of 24?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*k - 20 = 0, k = 5*p - 0*p - 29 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 448 minutes before 10:50 AM?\nAnswer: 3:22 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0010034799 rounded to 6 dps?\nAnswer: 0.001003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 79208?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Are 1 and -1\/179566114 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 182\/6 - (-4)\/6. Suppose p = 2*p - k. Is 28 a factor of p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 24335551 (base 6) to base 14\nAnswer: 162615","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is (-4)\/5 + -19 + 621621\/45 a multiple of 50?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: (9\/6)\/3*4\/(-8)\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*r**3 + 21268*r**4 + 0 + 1 + 20*r**2 - 2 - 21272*r**4 + 4*r + 124*r**2 to the form c + i*r + p*r**4 + z*r**3 + q*r**2 and give i.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -38 + 37. Let o(a) = -14*a**3 + a**2 - 1. Suppose 134 = 2*s - 2*b, -3*b - 2*b - 15 = 0. What is the smallest common multiple of s and o(v)?\nAnswer: 448","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 945212172?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*x + 2*z = 7*z - 19, 6*z - 15*z + 30 = -3*x for x.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 3\/2 + (-3)\/(-6). Suppose 10 - 2 = b*n. Calculate the highest common factor of n and 4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = -l**2 + 115*l + 1119. Let i be b(-9). Let f(q) = -q**3 + 2*q**2 + 4*q - 10. Determine f(i).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 56 + -86 - (0 - 33) - (-1 - -21)\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 37.4 - 271.4. Let m = q - -233.9999851. What is m rounded to 5 decimal places?\nAnswer: -0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 84254605 to the power of 1\/2, to the nearest integer?\nAnswer: 9179","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -11306302 and -3?\nAnswer: 33918906","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t*t\/((t\/t**(1\/4))\/t))**(-17)\/(t**0\/t)**(-30)*(t*t*t**(2\/3)\/t)**(8\/9)\/(t*(t\/(t\/t**(3\/2)*t))\/t*t*t*t\/t**(5\/2)) assuming t is positive.\nAnswer: t**(-7319\/108)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -23b (base 15) to base 2\nAnswer: -111111010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/9, 18165, 0.3, -0.1 in descending order.\nAnswer: 18165, 0.3, -0.1, -2\/9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = -f + 15. Let v be i(9). Let h(t) be the third derivative of -t**6\/120 + t**5\/12 + 5*t**4\/24 + 2*t**3\/3 - 4*t**2. Calculate h(v).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -10 - -1120200102001?\nAnswer: 1120200101221","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_test"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 648 and 3645?\nAnswer: 29160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(18)\/sqrt(9) - (sqrt(2) - (sqrt(2) + -2 - sqrt(2))*3)**2)*5.\nAnswer: -190 - 70*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -0.04, -0.5, 916, 2, -7.\nAnswer: -7, -0.5, -0.04, 2, 5, 916","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -3 - 61. Let x = 33 + u. Let d = 30 + x. Put d, -4, 0.14 in descending order.\nAnswer: 0.14, d, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {w: 1, v: 8, x: 5, t: 3, j: 2, n: 1}. What is prob of sequence xjx?\nAnswer: 1\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert 118 (base 13) to base 10.\nAnswer: 190","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -23 - -33 - -33 - 3?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 857334, 857469, 857604, 857739?\n\"Answer: 135*s + 857199","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1747587\/5 - 349511. Solve -z*l + 0 + 2\/5*l**5 + 2\/5*l**4 - 56\/5*l**2 - 24\/5*l**3 = 0 for l.\nAnswer: -2, -1, 0, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = 3*o**2. Let p(u) = 1132713*u. What is n(p(z))?\nAnswer: 3849116221107*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_test"},"subset":"dm_maths"} +{"text":"Question: Simplify m\/(m\/(m*m\/m**3)*m)*m**9*m assuming m is positive.\nAnswer: m**8","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = -u**3 - 6*u**2 + 7*u + 2. Let i be f(-7). Let o = i + -5. Is -1*(-1 + 22)\/o a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-1694)\/6 + 2\/(-3). Let r = q + 494. Is r a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 2 + -346?\nAnswer: -344","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 2188 equal to 1663?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {d: 4, t: 3, m: 1}. Give prob of picking 3 t and 1 d.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = -g**3 - 3*g - 9. Let y be m(-2). Suppose y*v + 2 = n - 9, 0 = -2*n - v. Which is bigger: -7\/4 or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3300960 divided by 736?\nAnswer: -4485","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*h - 9*h + 11*h - 6*h.\nAnswer: -7*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = 3*j - 2. Give w(2).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 3.51 * 2.34\nAnswer: 8.2134","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*5*(sqrt(68) + sqrt(68)*-3*-6))\/((sqrt(4) - (sqrt(36) + sqrt(252)\/sqrt(7)))*-2*-5).\nAnswer: 19*sqrt(17)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.3058656 millilitres in litres?\nAnswer: 0.0003058656","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many kilometers are there in 759.7071nm?\nAnswer: 0.0000000007597071","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 - 3 = g. Let m = -15 + 11. Let u be 12\/g*6\/m. Solve 7 = -o + u for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = 33*d**2 - 5. Let x(p) = -1106723*p. Determine y(x(r)).\nAnswer: 40419581358057*r**2 - 5","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t*(t\/(t*t**(-1\/6)))\/t)**9 assuming t is positive.\nAnswer: t**(3\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 4 - -3 - (-1 + 5). Suppose 11 = -2*y + 19. Solve 0 = y*t - n + 11 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -905.0842 to the nearest integer.\nAnswer: -905","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + sqrt(847) + sqrt(847) + 2 + 5 + -2*((sqrt(847) + 2 - sqrt(847)) + -5))*3.\nAnswer: 45 + 66*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -39\/986 and -5\/8?\nAnswer: 3944","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -1.157, 1\/9, 0.3, 1, 2, 5, 2\/9?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -4.8 + 6. Let o = c + -1.9. Let w = o - -1. What is the second biggest value in 5, w, 2\/3?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 462 minutes before 7:42 PM?\nAnswer: 12:00 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -62415196 divided by -15603799\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = -17*x - 67. Suppose y - 3*j + 4*j + 10 = 0, 2*y = j - 11. Does 8 divide o(y)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(3\/8)\/a)\/a**(-15) assuming a is positive.\nAnswer: a**(115\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 621 and 8487.\nAnswer: 207","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 122 is divided by 28?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16*d - 269 = -89 + 12 for d.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1103, 3199, 6709, 11633, 17971, 25723, 34889?\nAnswer: 45469","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*p**5 - 10*p**4 + 10*p**3 + 20*p**2 - 5*p - 10 = 0 for p.\nAnswer: -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**12\/(a*a**(1\/3)\/a))**(-6\/19) assuming a is positive.\nAnswer: a**(-70\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -4 + 10. Calculate the highest common factor of 3 and j.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 7233 - 13538. Let i = b - -6305.0002541. Round i to 5 dps.\nAnswer: 0.00025","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = 3*m + 18. What is f(-10)?\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.019*0.07.\nAnswer: 0.00133","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 4178674 a multiple of 334?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 43*u + 76*u + 509*u**2 + 88*u + 691*u**2 - 207*u.\nAnswer: 1200*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -23845 + 53689. What is the tens digit of r?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -27.3 - -161.3. Let u = o + -133.51. Let i = -0.51 - u. Which is smaller: -2\/53 or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 444941 to the power of 1\/2, to the nearest integer?\nAnswer: 667","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 2, -64 in decreasing order.\nAnswer: 2, -2, -64","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*d - 2*s - 2721 - 70, -2237 = -4*d + 3*s. What are the prime factors of d?\nAnswer: 557","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 2, q: 1, y: 8, l: 2}. What is prob of picking 1 l and 1 k?\nAnswer: 2\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = l**3 - 9. Determine q(0).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*sqrt(5) + -1 + (sqrt(35)\/(sqrt(28)\/sqrt(4)) - sqrt(5)).\nAnswer: -1 + sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n + 10 = 2*q, 2*n + 3*n - q + 14 = 0. Let z(v) = 42*v**2 + 3*v + 1. Is z(n) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = 3*g**2 - g + 1. Let k be h(1). Suppose -5*j - 4*z = -292, -182 = -k*j - 0*z + z. Suppose -p = -4*p + j. Is 10 a factor of p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 848, 1702, 2556, 3410?\n\"Answer: 854*t - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 102*d - 5*w = 90, -260*d - 3*w + 0*w - 54 = -257*d - 0*w for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 17 - (-11 - (7 - 33)).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out -102806 + 311.66423.\nAnswer: -102494.33577","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3 - 3 + 4)*(189 - 228032*k + 228035*k + 189) as u + z*k and give z.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = v**3 - 16*v**2 + 65*v - 15. Determine q(9).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + 1 + 5 + sqrt(432) + 1 + sqrt(432) + (sqrt(18) - (sqrt(126)\/(-2*sqrt(7)) - sqrt(18)) - sqrt(18))\/sqrt(6).\nAnswer: 2 + 51*sqrt(3)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 231 + -231. Let s(a) = a**3 + a**2 - 2. Determine s(h).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(704)*-1*2 + sqrt(704) + (2 + sqrt(704) + -1 - sqrt(704)) + -3 + sqrt(704) + 4 + 1)*6.\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -75143*z + 75170*z = -594. Which is greater: z or -1167\/56?\nAnswer: -1167\/56","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in one tenth of a gram?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2321 (base 4) to base 15.\nAnswer: -c5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2.34 + 0.12.\nAnswer: -2.22","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ztz when three letters picked without replacement from tzttzt.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 2\/(-11) + 652\/(-44). Let q = l + 17. Calculate the least common multiple of 8 and q.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-7 + -22 + 57 - 38) + -14?\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of o**4 + 4*o - 5*o**4 - 4*o**4 wrt o?\nAnswer: -96*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_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: Calculate the remainder when 3917 is divided by 38.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -214 + 223. Solve -x = -4*h + 7 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) be the second derivative of t**3\/3 - 223*t. Let y(c) = 140*c**2. Determine l(y(j)).\nAnswer: 280*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 384522023 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 1 - 53?\nAnswer: -52","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((k**5*k*k*k\/k**(-10))**(-14\/3))**15)**(2\/45) assuming k is positive.\nAnswer: k**(-56)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 0.01 and 4.595?\nAnswer: 4.585","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put 5584, 0, 4, 3, -9 in decreasing order.\nAnswer: 5584, 4, 3, 0, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = -3*y**2. Let m(b) = 135*b + 14. Let s(f) = -858*f - 88. Let q(z) = 44*m(z) + 7*s(z). Calculate q(v(t)).\nAnswer: 198*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = f + 10. Let d be j(-7). Suppose -2*p = -13 + 5. Suppose 3*r - 22 + p = 0. Solve -h + d = r for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (24\/(-60))\/(1\/5). What is the common denominator of 85\/16 and 2 - ((-87)\/s + 4)?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9.606739ml to litres.\nAnswer: 0.009606739","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*z + 3*t - 2525101, 5*z + 626021 + 2530350 = 3*t. What is z rounded to the nearest 10000?\nAnswer: -630000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 865352863 a multiple of 89?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 775385 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 25\/84 and 113\/10?\nAnswer: 420","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 192, 11, -19 in ascending order.\nAnswer: -19, -5, 11, 192","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7 divided by -4778.\nAnswer: -7\/4778","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.003502904 to four dps.\nAnswer: -0.0035","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 297 and 7972437.\nAnswer: 71751933","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 3 + 8603a?\nAnswer: 86040","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1\/91 or 55?\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18*v + 9 - 9 = 0. Put 5, v, -4 in decreasing order.\nAnswer: 5, v, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 997686512.\nAnswer: 2, 62355407","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-10)\/20)\/((-7)\/(-140))?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -3, -3, -1, 3, 9?\n\"Answer: y**2 - 3*y - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = 28*j - 138. What is d(-12)?\nAnswer: -474","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 31*1*(1590 - 1591)\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round 5739.3 to the nearest one hundred.\nAnswer: 5700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-l + 0*l - 2*l)*(l - l + 2*l**2 + (0*l + 3*l - l)*(2*l + 2 - 2) + l**2 - 3*l + 3*l + 4*l**2 + 3*l**2 - 6*l**2 + 17 - 17 - l**2).\nAnswer: -21*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = -14*q**2 + q - 1. Let c be h(2). Let x = c + 56. Solve -v - x = -3 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.0781715 times -0.4\nAnswer: -0.0312686","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 345932 and 197.\nAnswer: 197","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -225309 minus 85.8?\nAnswer: -225394.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 40528 and 204.\nAnswer: 121584","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-1 + -5)\/((-6)\/3). Suppose -14 = -3*t + o, 4 = -w*o + 7. Let f(v) = -2*v + 1. Let u be f(-2). Solve 0 = -t*g + 25 - u for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (9\/((-3465)\/(-14)))\/(2*(-3)\/30)\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = 47*t**2 + 29*t - 836. Let x(a) = -48*a**2 - 25*a + 836. Let b(u) = -7*x(u) - 6*z(u). Differentiate b(p) wrt p.\nAnswer: 108*p + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22 + 14 = 2*s. Let o = 5 - s. Let q = -10 - o. Calculate the smallest common multiple of 11 and q.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 90 and 2027653230.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 9327.8 + -9328. What is the closest to 2\/21 in -3\/2, -0.1, -0.11, n?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = -3*x**3 + 112*x**2 + 74*x + 82. Calculate a(38).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -7 + 30. Calculate the remainder when r is divided by 4\/14 - 108\/(-14).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -104 - 111113?\nAnswer: -111222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9527?\nAnswer: 7, 1361","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s - 28 = 3*x, 13*x = 10*x - 2*s - 31. Sort x, 5, -17, 3 in ascending order.\nAnswer: -17, x, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 389 and 10503?\nAnswer: 10503","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.27? (a) -3\/2 (b) -1\/4 (c) -1\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z - 3*w = 18, 3*z = -25*w + 29*w + 12. What is the highest common divisor of 258 and z?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = -f + 1. Let g be l(-6). Let y be (-20)\/(-70) - (-12)\/g. Solve -3*k = -y*k + 1 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*k + 2*k - 15. Suppose -2*p = -0*p. Suppose 3*v + 3 = -p. Put v, -5, k in decreasing order.\nAnswer: k, v, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = q**3 + 17*q**2 + 29*q - 8. What is z(-15)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*o - 2*o = 25. Solve 2 - 12 = -o*y for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 9\/8 in 0.3, 3, 2\/13?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = w**3 + 102*w**2 + 2238*w + 88. Let c be d(-70). Solve c = 5*g + 253 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 10 and 1850.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: ((15\/9)\/(-5))\/((-11)\/6)\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 19\/24000 and 61\/9000?\nAnswer: 72000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 110455*n**2*r*t - 4*n*r*t*y - 2*r*t*y + 17*r*t - 18749*r + 2*t wrt n.\nAnswer: 220910*n*r*t - 4*r*t*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 76181 is divided by 8448?\nAnswer: 149","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00000869038076 to 6 decimal places.\nAnswer: 0.000009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pt when two letters picked without replacement from {h: 5, p: 4, x: 1, t: 2, f: 1, r: 2}?\nAnswer: 4\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 337 minutes after 6:03 PM?\nAnswer: 11:40 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 35428062 and 393.\nAnswer: 4641076122","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 253790908?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is (1238 - 1243) + (4 + 21 - (1 - -1))?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 772335?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) 0.4 (b) 5.1 (c) -55 (d) 5 (e) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 151504406.\nAnswer: 2, 47, 1611749","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 15.3 (b) 5 (c) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 13497484 to the nearest integer?\nAnswer: 3674","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = -o**3 + 157*o**2 - 88*o + 13704. Give f(157).\nAnswer: -112","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*w - 2*j - j = -3, -5*j = 5*w for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = -i**3 + 13*i**2 + 2*i - 1. Suppose -4*r - 17 = -69. Calculate the remainder when q(r) is divided by -26 + 28 + -1 + 12 + 1.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 75\/2 of a century in months?\nAnswer: 45000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24*o + 291 - 99 = 0. Let k be 4\/14 - (o - 2575\/(-315)). What is the closest to 0.1 in -3, 0.3, k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d\/d**(-4\/5)*d\/((d**(2\/43)*d)\/d))**(1\/39) assuming d is positive.\nAnswer: d**(592\/8385)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {t: 7, u: 2, o: 3}. Give prob of sequence ttu.\nAnswer: 7\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-1 - 3)*(-3)\/(-12)*63\/(-231)*11. Factor c**2 + 0 - 6\/5*c + 1\/5*c**v.\nAnswer: c*(c - 1)*(c + 6)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-14)\/(-7)*-4 - (-354)\/48*1.\nAnswer: -5\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 9\/16373 and 14\/127.\nAnswer: 2079371","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -23 + 24 + 0 + -4?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (270\/75)\/(5\/25)?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 39 a factor of 176905677?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 6 + 32 - (-4)\/(-2). Suppose 0 = -6*h + 2*h + x. List the prime factors of h.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00087978 to four decimal places.\nAnswer: 0.0009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express (2 + 15 - 7)*(10*g - 9*g - 26 - 6)*(-g**2 - g**3 + g**2) as a*g**4 + s*g + j + o*g**3 + x*g**2 and give o.\nAnswer: 320","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -7 - -8. Let h be o\/3*720\/(-64). Do h and -0.1 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 170 and 16490?\nAnswer: 170","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 40309 - 11777.3768.\nAnswer: 28531.6232","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.4? (a) 4\/7 (b) 2 (c) 0.9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: ((12 - 3670\/595) + 4\/(-34))*(11 + -4)\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = -h**3 + 2*h**2 - 2*h + 1. Let z be a(2). Let k be 3 + 2 + 0\/z + -3. Let -1\/4*p**k + 0*p + 0 = 0. What is p?\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of p*q**3 + 2*p*q + 2*p - 21507040*q**3 + 13*q + 4278630 wrt q.\nAnswer: 6*p*q - 129042240*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = -3*a - 1 + 3*a - a**3 - 4*a - 3*a**2. Let g be r(-4). Let s = -22 + g. What is the units digit of s?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 113\/3108 and 107\/92722?\nAnswer: 556332","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*z - 2*t + 19 - 9, 4*z + 5 = t for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = u**2 - 3*u - 10. Let l be n(5). Solve l*x + 4*x = -12 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2b4 (base 16) to base 13.\nAnswer: 413","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(686) - 3*sqrt(686))\/(sqrt(8)\/sqrt(100)).\nAnswer: -70*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 31886233.\nAnswer: 41, 733, 1061","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 871*q**2*r**2 + 34*q**2*r + 4*q**2 - 11*q*r**3 - q*r**2 + 2*q*r - r**3 - 2*r wrt r.\nAnswer: 1742*q**2 - 66*q*r - 2*q - 6*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = 5*f + 39. Calculate i(-9).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Are -172183 and -172616 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = -h**3 - 6*h**2 - 5*h - 2. Let a be i(-5). Let b = 0 - a. Calculate the smallest common multiple of 8 and b.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = -o**3 + 2*o**2 + o - 4. Determine f(3).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 3361, 6729, 10091, 13441, 16773, 20081, 23359?\nAnswer: 26601","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 323 and 612.\nAnswer: 11628","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 405 is divided by 58?\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 16426\/178275 - -193\/2377. What is the common denominator of s and (0 - 1\/120)*1?\nAnswer: 600","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence aaa when three letters picked without replacement from {h: 5, a: 8}?\nAnswer: 28\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(65) - -1*sqrt(65))\/sqrt(5) + sqrt(13))*-2 - ((-1*sqrt(65))\/sqrt(5) + sqrt(208) + -3))**2 + 1.\nAnswer: -54*sqrt(13) + 1063","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1\/32 + 49\/32. Factor 0 - 9\/2*b**2 - i*b**3 - 3*b.\nAnswer: -3*b*(b + 1)*(b + 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -29 = 4*r - 5. Let a(m) = m**3 + 5*m**2 - 8*m - 9. Let k be a(r). What is the second biggest value in k, 1\/7, -2?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 66692 + 1?\nAnswer: 66693","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 861.299 weeks in days?\nAnswer: 6029.093","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 436 is divided by 110.\nAnswer: 106","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = 110*g**3 + 8*g**2 + 5*g - 8. Let n(q) = -93 + 335 - 245 + 37*q**3 + 3*q**2 + 2*q. What is -3*a(v) + 8*n(v)?\nAnswer: -34*v**3 + v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -107*r + 27145 - 7387 = -42*r + 113*r for r.\nAnswer: 111","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = -15*n**2 + 23*n + 17. Let l(b) = 7*b**2 - 11*b - 8. Let m(t) = -6*f(t) - 13*l(t). Let q be m(5). Solve q*y = 6*y for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in 1\/4 of a millisecond?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 895276*c + 1197110.\nAnswer: 895276","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 3689*s**6*z**2 + 2*s**6*z - 42*s**2*z**2 + 2*s**2*z - 25*s**2 + 3*s wrt s.\nAnswer: 442680*s**3*z**2 + 240*s**3*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 2261039437 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 35\/839 (b) -1 (c) -0.17\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -c6c (base 14) in base 10?\nAnswer: -2448","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(2\/3)*y**(2\/9)*y)\/((y*y**(-1\/19)\/y)\/(y*y**4\/y)) assuming y is positive.\nAnswer: y**(1016\/171)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express z + 0*z**3 - z**4 + 3*z**3 - 6*z**3 + z**3 + 2*z**2 in the form u*z**4 + a + j*z**3 + o*z + l*z**2 and give j.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s - 9*s + 240 = 0. Calculate the least common multiple of s and 6.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 10*l**2 - 11 - 14 + 534*l - 534*l with respect to l.\nAnswer: 20*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = -17*u + 8. Let n be x(6). Let s = n - -36. Let k = -38 - s. What are the prime factors of k?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 26*3\/6 - 1. Let u be (h\/10)\/((-8)\/(-20)). Suppose 4*a = -3*w - 0*w + 43, 0 = -2*w + u*a + 57. Is w a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 104965168?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round 16500170 to the nearest 100000.\nAnswer: 16500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -9 + ((8 - -25) + 6 - 18)?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -3720750 divided by -6150?\nAnswer: 605","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-7 - -6) + (0 - (-2 + 2))?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find b such that -2*b**3 + 54110*b**2 - 366121750*b + 1829256250 = 0.\nAnswer: 5, 13525","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from hnqqhqhnqq. What is prob of picking 2 h, 1 q, and 1 n?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 216276428, 216276427, 216276426, 216276425, 216276424?\n\"Answer: -p + 216276429","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 240\/19 - 1929\/76. Let l = -1265 + 17765\/14. What is the common denominator of q and l?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 36*u + 50 = 61*u. Solve 0*x - u = x for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify s**(-10)*s*s*s**(4\/3)*s*s**(-4\/3)\/s*s\/s**6 assuming s is positive.\nAnswer: s**(-13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8*c - 6*c - 4 + 5 + 0*c - 1.\nAnswer: 2*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (m**3 + 63 - 67 + 5*m**3)*(-10*m + 5*m + 7*m) to u*m**3 + d*m**4 + n*m + j*m**2 + p and give n.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:42 PM and 11:09 PM?\nAnswer: 327","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*h**5 - 208*h**4 + 6492*h**3 + 354184*h**2 + 2876896*h + 4392192 = 0 for h.\nAnswer: -57, -28, -8, -2, 43","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is -368\/7 at least as big as -54?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = 14*m + 579. Let j be b(-41). Factor 0 + 0*r + 1\/2*r**4 - 1\/2*r**3 + 1\/6*r**2 - 1\/6*r**j.\nAnswer: -r**2*(r - 1)**3\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 1 + 10\/(-12) + 0. Let w = -12 - -13. Which is the closest to w? (a) -0.3 (b) 0.5 (c) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2834*j = 1150*j - 1249*j - 90405 + 257586 for j.\nAnswer: 57","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = f**2 + 15*f + 16. Let j be n(-14). What is the closest to 2\/5 in j, 0, -1\/7?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*o = 2*v - 3*v - 121 + 125, 0 = -4*o + v - 4 for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Add together -21165.5 and 2811047.\nAnswer: 2789881.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-124*r - 170*r - 202*r - 45*r)*(1 + 0 - 4)*(4 - 5 + 2) to m*r + u and give u.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -807*m**3 + 58*m**2 + 59*m**2 + 415*m**3 + 63*m**2 - 37*m**2 + 407*m**3.\nAnswer: 15*m**3 + 143*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 6\/19, -4, 4, -1872.958?\nAnswer: 6\/19","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 554 a factor of 1799154?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 384.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -3, 1, 5, 9?\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i - 282398 = 3*k, -16845 = i - k - 158042. Is i prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1311 and 44712?\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1 + 0. Let s = -20.7 + 3.7. Let v = -20 - s. What is the nearest to v in z, -0.2, 0?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + -4*sqrt(425) + ((sqrt(187) - -5*sqrt(187))\/sqrt(11) - sqrt(17))**2 + 4 + 2 + -1.\nAnswer: -20*sqrt(17) + 425","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -8465 + 5119. Let b be (9\/2)\/((-7)\/f). Is b\/3*(-1)\/(-3) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -63*w + 243 = 54 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(95)*-3*6)\/(sqrt(605)*2 - sqrt(605)).\nAnswer: -18*sqrt(19)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 283*t - 289*t - 30 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*u - 6*u + u)*(-2*u + 1 + 5*u - 13).\nAnswer: -9*u**2 + 36*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -36702*4\nAnswer: -146808","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-904)\/36)\/((10\/(-18))\/((-55)\/(-22)))?\nAnswer: 113","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 644906429?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-104)\/(-6))\/(((-1)\/((-6)\/20))\/(20\/4)).\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 163654?\nAnswer: 2, 47, 1741","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from jjjjjjjjjj. Give prob of sequence jjj.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -480131*h**3 + 4*h**2 - 34750*h wrt h?\nAnswer: -2880786","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-8)\/(-4))\/(14\/7)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 2125*48*(-40)\/(-6). What is r rounded to the nearest one hundred thousand?\nAnswer: 700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 - 0 - (-3 + -5) - 13?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 5967 + -5964. Let q = -4 - -7. Suppose f*h + 72 = i - h, 5*i - q*h - 292 = 0. What are the prime factors of i?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 72092.\nAnswer: 2, 67, 269","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -30*c*j*r*t + c*j*r - 2*c*j - 319*c*t - 25929*j*r - 4*t + 2 wrt t.\nAnswer: -30*c*j*r - 319*c - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -l**2 + 0*l**2 + 4*l**2.\nAnswer: 3*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19*x + 26*x - 182 = 0. Calculate the remainder when 38 is divided by x.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 5895 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(156) + -4*sqrt(156))*5 - (sqrt(156) + (-2*-1*sqrt(156) - sqrt(156))))\/(-1*sqrt(1200)*4 + sqrt(1200) + 1*(-2*sqrt(1200) + sqrt(1200))).\nAnswer: 17*sqrt(13)\/40","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 10 + 2. What is the remainder when x is divided by 5?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1785)\/84 + 23 + (-1298)\/792?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express -41*m - 2*m**2 + 3*m - 18*m + 0*m**2 + 3*m as i + h*m**2 + z*m and give z.\nAnswer: -53","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-25)\/(-20)*39\/130 - (-51)\/(-8).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) be the third derivative of 4*h**7\/315 + 289*h**6\/90 + 86881*h**5\/360 + 80089*h**4\/48 + 2*h**2 + 3*h - 42. Solve b(w) = 0.\nAnswer: -283\/4, -3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6984916 to the power of 1\/3, to the nearest integer?\nAnswer: 191","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -59 and 0.29?\nAnswer: -17.11","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify o\/(o\/o**(-10\/7))*o*o\/(o*o**(-7)*o) assuming o is positive.\nAnswer: o**(39\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -68*v**3 + 23*v**3 + v**4 + 25*v**3 - 258*v - 7382 + 20*v**3 wrt v.\nAnswer: 4*v**3 - 258","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 13\/5 of a minute in seconds?\nAnswer: 156","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -8436 - -64?\nAnswer: -8382","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = 4*m - 45. Calculate j(9).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f = -2*y + 17, 8 = 5*f - 7. Suppose n + y = -3*r, 2*n + 5*r = -n - 19. Suppose n*p - 8 + 30 = 2*g, 0 = -4*g + 5*p + 45. What is the tens digit of g?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 808 is divided by 74?\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -5 + (-2 - -6) + -3\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (0 - 10\/4)*10032\/(-660). Calculate the highest common factor of 95 and k.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 552361?\nAnswer: 541, 1021","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -5.6 + 24. Let n = k - 8.3. Let u = 10.0999934 - n. What is u rounded to 6 dps?\nAnswer: -0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 29 - 1. Calculate the remainder when 139 is divided by r.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = -4*s**2 + 491*s - 2204. Calculate t(118).\nAnswer: 38","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Divide 107754915 by 93945.\nAnswer: 1147","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*u - 3*w + 17 = u, -4*w = -20. Is (u\/6)\/((-2)\/(-132)) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 27400 + 1029264 = 56*y. Is y prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 722215 and 3075.\nAnswer: 205","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -4.8961 - 0.1039. Let c = -10.04 - -0.04. What is the third smallest value in c, q, -4\/3?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = 4*s**4 - 20*s**3 + 23*s**2 - 7*s. Let x(d) = -d**4 + d**3 + d**2 - d. Let a(q) = -4*f(q) + 12*x(q). Suppose a(l) = 0. What is l?\nAnswer: 0, 2\/7, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) be the third derivative of j**7\/630 - 19*j**6\/360 + 31*j**5\/180 + 17*j**4\/24 + 510*j**2 + 2*j + 3. Factor t(g).\nAnswer: g*(g - 17)*(g - 3)*(g + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1 (base 2) to base 3\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 44 + -21. Suppose 42 = -30*k + 222. What is the remainder when m is divided by k?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (14\/175)\/(3\/(-15)). Sort 4, -2, 2, b in descending order.\nAnswer: 4, 2, b, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 39*o**2 - 75 - 39*o**2 - 37 + o**3 to the form n*o + u*o**3 + d + f*o**2 and give d.\nAnswer: -112","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 - ((15 - (3 - 1)) + 13 + -33 + 14)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 23 (b) -2\/29 (c) -0.3 (d) -3 (e) 1\/17 (f) 14 (g) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*n**4\/7 + 64*n**3\/7 + 192*n**2\/7 - 5120*n\/7 + 12800\/7.\nAnswer: 2*(n - 4)**2*(n + 20)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k - 2*v + 16 = k, -5*k + 5*v = 10. Suppose -s + 24 = -k*l, s + 2*l + 114 = 5*s. Let i = 54 - s. What is the remainder when 46 is divided by i?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -71*s - 9*s = 37*s - 411489. What is the hundreds digit of s?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-346)\/4)\/((-10)\/1780) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = n - s + 3, -2*n + s - s - 8 = -3*s for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ssndosssosd. What is prob of sequence osso?\nAnswer: 1\/132","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bq when two letters picked without replacement from jbboqbqbqqbbbbbq.\nAnswer: 3\/16","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 l and 1 w when two letters picked without replacement from liiwwkwiiwckwk?\nAnswer: 5\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 801 and 1917.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 3\/(3*1 + 25\/(-10)). Suppose c + 10 = f*c. Suppose -4*r = -3*b - 112, 4*b - 78 = -c*r - 0*b. What is the tens digit of r?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 7\/4 - (-2)\/8. Let a be b\/(-20) + (-3)\/6. Suppose -21 - 66 = 29*c - 0. Sort 0.3, -2, a, c in decreasing order.\nAnswer: 0.3, a, -2, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_test"},"subset":"dm_maths"} +{"text":"Question: Solve -i + 5*i = g - 39, -4*g + 3*g + 69 = 4*i - 14*i for g.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7819.\nAnswer: 7, 1117","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = m**2 + 7*m - 11. Let w(t) = t**3 + 5*t**2 - 4*t + 4. Let u be w(-6). Let j be n(u). Let g(y) = -y**3 - y**2 - 2*y - 4. Is 20 a factor of g(j)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -5140\/21 - -49\/3. Let v = h + 227. Which is greater: v or -2?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*t + 3*u = -11*t - 4, t + 2*u = 4. Put t, 5, 518 in increasing order.\nAnswer: t, 5, 518","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3962535?\nAnswer: 3, 5, 264169","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from fsfmgmu. What is prob of picking 2 f and 1 m?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = v**3 - v**2 - 6*v - 7. Let t(q) = -246*q - 8594. Calculate the remainder when l(5) is divided by t(-35).\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2503 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (4\/3528*-8)\/(54\/(-63)). Which is the biggest value? (a) 0.4 (b) 1\/8 (c) 5 (d) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h - 2*a + 149 = 0, 3*h - a = 663 - 216. What is the units digit of h?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = 3*f**3 + 8*f**2 - 8*f + 1. Let z(t) = -t**2 + t. Let o(q) = b(q) + 6*z(q). Let j(p) = -16*p**3 - 11*p**2 + 11*p - 5. Calculate 4*j(d) + 22*o(d).\nAnswer: 2*d**3 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 2683798461?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q = 2*x - 4*x + 2, 27 = -q - 3*x. Let n(t) = -t + 10. Let h be n(8). What is the units digit of (-1 + 0)*q\/h?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) be the third derivative of m**4\/6 + 6*m**2. Let n(j) = -4*j**2. Determine v(n(b)).\nAnswer: -16*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = 5*b**2 - 8*b**2 - 4*b**2 + 2 + b**3. Let g be k(7). Suppose 10 - 4 = g*q. Solve h = 6*h + 4*j - 33, 5*h = q*j + 19 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 76*r - 72*r = 116. Suppose -864 = 5*s - r*s. Calculate the greatest common factor of 90 and s.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -91528 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.8 - 0.75. Let m = 0.95 + h. Which is the second biggest value? (a) -1\/3 (b) 3 (c) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 306 and 170?\nAnswer: 1530","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: (20 - 16) + -13 - (-1 - (0 + -11))\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (72\/(-540))\/((-2)\/(6*-1)).\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:15 AM and 1:46 PM?\nAnswer: 691","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 44? (a) -1\/2 (b) 67 (c) 2 (d) -0.55\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -483927087 divided by -329?\nAnswer: 1470903","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 51\/226 and -89\/2?\nAnswer: 226","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.51688 plus 15105992.2?\nAnswer: 15105992.71688","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 5207 and 19024?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = 25*q**3 - 101*q**2 + 359*q - 275. Give r(1).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-102)\/153*(-21)\/4)\/3.\nAnswer: 7\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 92 is divided by 25?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (1 - 6\/4)*0. Let i(c) = c**2 + c. Let o be i(-3). Suppose 2*q - o = 2*s - 2, -2*q + s = -7. Sort r, q, -2.\nAnswer: -2, r, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 575 is divided by 39.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 686.76 + -681. Let h = 17.22 - n. What is h rounded to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = 4030*w**2. Let q(d) = d. Calculate q(x(f)).\nAnswer: 4030*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 21 - (14 + (-5 + 11 - 13))\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -5 in 0.1, 4, 4\/3?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x - 20 = -4*u, 8 = x + 4*u - 0. Let v(y) = y**3 - 2*y**2 - 4. Let n be v(3). What is the second derivative of r**n - 4*r**5 - r**5 + x*r wrt r?\nAnswer: -80*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -18 divided by -1\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = -2*o**3 - 19*o**2 + 28*o + 56. List the prime factors of p(-13).\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*o**2 - 18*o**2 + 2*o**2.\nAnswer: -16*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand 6*m**3 + 6*m - 6*m + (0*m - 3*m + 0*m)*(3*m - 2*m**2 - 3*m).\nAnswer: 12*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) be the first derivative of -4 - 7*s + 8\/3*s**3 - 2*s**2. Is i(-7) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 94461852?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 at least as big as -597291.9?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2\/(-4))\/(7\/(-70))*-1.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 7658 to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 196929 and 54?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p = 2*c + 6, -2*c - c - 4*p = -31. Suppose -d + c = 2, 4*d = -3*v + 21. What is the second derivative of 0*s**v - 14*s + 2*s**3 + 5*s wrt s?\nAnswer: 12*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ud when two letters picked without replacement from ujduuud?\nAnswer: 4\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 81\/2 of a millennium?\nAnswer: 405","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yhh when three letters picked without replacement from hyhhhyyyyhyhh.\nAnswer: 21\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = -133987*i. Let v(r) = 6*r**2. What is v(j(u))?\nAnswer: 107715097014*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -66 divided by -3?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 4587 a multiple of 53?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 66025692 and 90.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve x**5\/3 - 2258*x**4\/3 + 1414313*x**3\/3 - 153098056*x**2\/3 = 0 for x.\nAnswer: 0, 136, 1061","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = -u**3 + 4*u**2 + 4*u + 9. Let d be q(5). Suppose 8 = d*v, -b + 5*v = -1 + 9. What are the prime factors of (0 - 1)\/(b\/(-36))?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-15 - 3 - 44 + (-1 + 0 + 0)*(1 - 3 + 0))*(0*b**2 + 2*b**2 - 3*b**2).\nAnswer: 60*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 65556 and 11664.\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -934344 divided by 683?\nAnswer: -1368","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 336678259 to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 73870 and 107070?\nAnswer: 830","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6328 is divided by 1297?\nAnswer: 1140","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 52341168.\nAnswer: 2, 3, 11, 99131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00000108995 rounded to 6 decimal places?\nAnswer: -0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*f**2 - f**2 - 2*f**2)*(-2*f**3 - 4 + 4) + (-97 - 29 - 76)*(f**5 + 3*f**5 - 3*f**5).\nAnswer: -206*f**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/8 of a millimeter in micrometers?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-3 + 12)\/(-1))\/(-3). Is ((-236)\/(-8) - c)*10 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in 1\/10, -1\/2, 1, 1\/11?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -22*b**2 - 13*b**3 + 28*b**3 - 8*b**3 - 2 + (2 + 4 - 5)*(3*b**3 + 3*b**2 - 3*b**2) - 2*b**3 + b**3 + 3*b**3 to o*b**2 + x*b + l + u*b**3 and give x.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 3761 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = 2*d - 2. Let m(u) = 1. Suppose 5 - 1 = 2*x - 2*c, -2*x + 3*c = -5. Give x*a(s) + 4*m(s).\nAnswer: 2*s + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = i**3 - 8*i**2 - 10*i + 9. Let x be s(9). Suppose -4*p - 29 + 141 = x. What is the derivative of w**3 + 42 + 6*w**3 - p wrt w?\nAnswer: 21*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 20 and 2142.\nAnswer: 21420","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00000082637155 rounded to 7 dps?\nAnswer: 0.0000008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 + -16 - ((-5)\/((-60)\/(-36)) + 2).\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 242, -278, 4 in ascending order.\nAnswer: -278, 0, 4, 242","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 176 - 11. Suppose -16*k = -11*k + u. Are -34 and k unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -11\/32 and 53\/67788.\nAnswer: 542304","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*z**2 + 248*z + 7688.\nAnswer: 2*(z + 62)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 664 - 274. Does 26 divide g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 9921 (b) -5 (c) -2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 423 minutes before 8:17 AM?\nAnswer: 1:14 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i\/i**(15\/7)*i**(-10)*i*(i**(-4))**34)**(-2\/17) assuming i is positive.\nAnswer: i**(2046\/119)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Does 64 divide 31257?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = -6*u**2 + 7*u - 12. Let x be b(6). Let w = 703 + x. Is w a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1\/19764 - 99643\/9882. Let r = -46877\/10536 - 4\/439. Calculate the common denominator of k and r.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*h - 3*h + 13*h**2 + 5*h.\nAnswer: 13*h**2 - h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (100\/(-8))\/(-1)*(-2)\/(-5). Suppose -o*u - 64 = -13*u. Solve -3*p - u = -5*p for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) -0.01 (b) -2\/19 (c) -43\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -6 + 0. Let w be -3 - ((-4)\/(-7) - (-78)\/(-14)). Suppose 4*r + w*r = 4*r. Sort 3, m, r in decreasing order.\nAnswer: 3, r, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -142 - -180. Calculate the remainder when k is divided by 11.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 67770*k**2 - 3 - 10 - 67772*k**2.\nAnswer: -2*k**2 - 13","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 343350 (base 7) in base 11?\nAnswer: 4200a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = -o**2 + 2*o. Let f(r) = -r. Let w(b) = -c(b) - 2*f(b). Let s(d) = 119*d. What is w(s(a))?\nAnswer: 14161*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -19 = -2*g + 3*b, -4*b = -66*g + 69*g - 3 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/27, 4, -130259 in ascending order.\nAnswer: -130259, -2\/27, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = -4*k**2 + 19*k - 9. Let f be w(4). Let l(o) = 4*o**2 + 3 + 0 - f*o**2 - 1. Determine l(4).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 31 by -1.\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert 355998.3 months to years.\nAnswer: 29666.525","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 6371 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 k and 2 c when three letters picked without replacement from {k: 5, c: 11}.\nAnswer: 55\/112","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) be the second derivative of -k**5\/20 + 7*k**4\/12 - k**3\/2 + k**2\/2 - 27041*k. Let x be -6*(-4 - -2 - -5). Let f = -11 - x. Calculate b(f).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4 + -8 + (-8 + -8 + 11 - 8)\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5600?\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -9911 + 9898. Let t(n) = 11*n + 13. Let g(y) = -y - 1. Let q(i) = -3*i - 4. Suppose -2*b = b + 6. Let u(s) = b*g(s) - q(s). Calculate l*u(o) + 6*t(o).\nAnswer: o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round -30800 to the nearest ten thousand.\nAnswer: -30000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3482.\nAnswer: 2, 1741","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.2, -0.036, -129, 0, -0.7 in ascending order.\nAnswer: -129, -0.7, -0.036, 0, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 6*x**3 + 19646739*x**2 + 22877*x + 4613.\nAnswer: 36*x + 39293478","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -13 + 18. What is the second biggest value in j, 4, 3?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:00 AM and 3:16 PM?\nAnswer: 376","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or 3822\/16295?\nAnswer: 3822\/16295","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.3 * 0.58981.\nAnswer: 0.176943","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21 = -2*w + 5*v, 7*w - 3*w - 5*v = -17. Let a(s) = 4*s**2 - 13*s**w - 6 - 7*s + s**3 + 20*s**2. List the prime factors of a(-11).\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-9)\/45)\/(2\/(-10)). Which is bigger: i or 3\/13?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y\/y**2*y\/(y*y**9*y))**4 assuming y is positive.\nAnswer: y**(-44)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = 5*n - 6. Let z(b) = 11*b - 12. Let p(o) = -7*g(o) + 3*z(o). Let x be p(0). What is the highest common factor of x and 48?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (0 + 0 + 2)*(-3 - 4*n + 3)*(2*n + 17*n - 5*n + (-3 - 2 + 1)*(4 - n - 4)) in the form k*n**2 + q*n + z and give k.\nAnswer: -144","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 7*h - 17*h + 10940. Is h a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 23\/5 + -27\/5. Let i = 7592 - 7596. What is the third biggest value in i, j, 5?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = -c**2 - 12*c - 17. Determine m(-6).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -2 - -2. Suppose 0 = -3*n - 3. Let m be ((2*3)\/(90\/(-63)))\/(21\/(-35)). What is the nearest to 1 in v, n, m?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 3554373089?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = -69*b + 3. Let p be r(-9). Suppose -p = -16*j + 12*j. What are the prime factors of j?\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {x: 2, t: 1, d: 1, o: 2, g: 1, i: 1}. What is prob of picking 1 g, 1 x, and 1 i?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*s = 9, -4*j + 4*s + 6 = -14 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-26)\/(-10))\/(51\/(-17850)*35).\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) be the first derivative of 3*x**2\/2 + 3*x + 41. Let z(d) = -d - 1. Let h(q) = 2*q + 3. Let t(r) = -h(r) - 3*z(r). Determine a(o) - 5*t(o).\nAnswer: -2*o + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in 35\/3, 35, 0.28?\nAnswer: 0.28","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 16 - 8 - 2 - 3*u - 1 to the form g*u + i and give g.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = -131*v**2 + 5*v - 7. Let z(f) = 130*f**2 - 5*f + 6. Let k(t) = 2*c(t) + 3*z(t). What is the units digit of k(1)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 r and 2 g when three letters picked without replacement from {r: 2, o: 4, g: 3, k: 1, y: 1}.\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = -3*i**3 - 389*i**2 + 128*i + 288. Calculate o(-130).\nAnswer: 548","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Product of 2 and 1733.\nAnswer: 3466","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -4187 + 4620. Calculate the remainder when p is divided by 15.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 2874.7077 + 0.0923. What is y rounded to the nearest 10?\nAnswer: 2870","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3954.7754 rounded to the nearest 1000?\nAnswer: 4000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -65.1891580443 from 1.\nAnswer: 66.1891580443","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = z**2 + 4*z - 129. Calculate c(12).\nAnswer: 63","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = r**2 - 12*r + 5. Let s be c(12). Solve 0 = 4*m + 12, s*v - 2*v - m + 9 = 0 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 46 and 368?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 34*x + 295 = 93*x. Solve -4*q - 3*n + 3 = 0, x*q - 2*n + 4*n - 2 = 0 for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-8*12\/(-2112))\/((-3)\/36*-3)?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify m**(-1\/21)*m**(12\/17)\/m assuming m is positive.\nAnswer: m**(-122\/357)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) be the first derivative of -8*h**2 + 16*h - 10 + 4\/3*h**3. Determine x, given that r(x) = 0.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 40 and 170.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from lpcppphk. Give prob of sequence kp.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 112514911?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 750 and 1650.\nAnswer: 8250","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-2)\/6*-3 + (-3 - -6). What is the hundreds digit of (1\/j)\/(-1) - (-1450)\/8?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = -l**3 - 24*l**2 - 13*l + 237. Determine t(-23).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5*-0.01178.\nAnswer: 0.0589","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 147*f + 89*f + 55*f = 16*f - 4400 for f.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -84 - -114. List the prime factors of h.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g = n + 3 + 6, 0 = 2*n + 3*g - 2. Let t(p) = -p**3 - 6*p**2 - 6*p - 2. Let l be t(n). Let y = 4 + l. List the prime factors of y.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2*(-8)\/20*(-75)\/105.\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -1528 - 2551?\nAnswer: -3a79","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-1)\/5)\/((-198)\/220))\/1.\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1650 and 45.\nAnswer: 4950","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = 5*y - 35. Let u(w) = 2*w - 6. Let h be u(y). Let d be -1 + (-3)\/h*-154. What is the greatest common factor of 19 and d?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0 + -6363.\nAnswer: -6363","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*y - 3*y + y)*(-1038*y + 2 + 2096*y - 1102*y) in the form w*y + v*y**2 + i and give v.\nAnswer: 88","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.02038615 to 4 dps.\nAnswer: 0.0204","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -77230310, -77230312, -77230314, -77230316, -77230318, -77230320?\n\"Answer: -2*u - 77230308","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) be the third derivative of y**6\/120 + 2*y**5\/15 + 7*y**4\/24 + 2*y**3\/3 - 20*y**2. Calculate d(-6).\nAnswer: 34","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -417700 to the nearest one hundred thousand.\nAnswer: -400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (6087 - 1) + -5 + 6 + -6. Suppose 11*n - q + 306 = 0. Is 60 a factor of n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 146 = 3*c - c. What is the tens digit of c?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(-5*((sqrt(245) - -5*sqrt(245)) + 5 - (sqrt(245) + sqrt(245) + 3 + 3)))**2.\nAnswer: -2800*sqrt(5) + 196050","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2)\/8 + (-1 - (-6)\/4)?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 2\/4 - (-3)\/(-6). Suppose 7 + n = 4*d - c, -2*c = 2*d - 16. What is the units digit of d?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c = -4*x - 20, 5*x + 0*c + 4 = -c. Let b(z) = -z**2 + 11*z - 14. Let m be b(8). Suppose -20*f = -15*f - m. Solve x = -3*w - f*w + 15 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) be the third derivative of n**4\/12 - n**3\/2 + 3*n**2. Let k be y(-3). Let v = k + 11. Solve 25 = 7*t - v*t for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -19\/14620 and -19\/408.\nAnswer: 87720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 245583 is divided by 106.\nAnswer: 87","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) be the second derivative of -t**4\/12 + 4348*t. Let g(q) = -122*q. Calculate f(g(i)).\nAnswer: -14884*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = 27*d**3 + d**2 - 12*d - 30. Determine a(-2).\nAnswer: -218","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3\/5? (a) -4 (b) -3 (c) -4.23 (d) -7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 306\/(-54) - (-4263)\/171 - 19?\nAnswer: 5\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -187821, -187825, -187829?\nAnswer: -187833","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -10478226 divided by -1746371.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -30 + 53 + 15 + -31?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = u + 1. Let j be w(6). Solve 2*x + 3*h = -1, 5*x + h + 3 = j for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -17, 28, -12, 0, 1, -25, -2 in ascending order.\nAnswer: -25, -17, -12, -2, 0, 1, 28","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (1 + 13\/(-3))*14592\/(-160). Suppose -k = -3*a - 5*a. Suppose 27 = 5*l - a. Round l to the nearest ten.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 44 - 80. Let f = h - -71. Calculate the remainder when f is divided by 18.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 27997152 divided by -2333096.\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -57, -123, -213, -321, -441, -567?\n\"Answer: a**3 - 18*a**2 - 19*a - 21","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(156)\/(sqrt(24)\/(1*sqrt(2))))**2 - ((4 + sqrt(117)*-1)**2 - sqrt(117) - sqrt(117)).\nAnswer: -120 + 30*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kkk when three letters picked without replacement from {h: 3, k: 12, a: 1}?\nAnswer: 11\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = 4*a**3 - 25*a**2 + 41*a - 11. Let j(f) = -5*f**3 + 26*f**2 - 41*f + 8. Let i(d) = 4*h(d) + 3*j(d). Factor i(n).\nAnswer: (n - 20)*(n - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/25 of a centimeter in micrometers?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 31 = z - 13. Suppose -3*g - x = -28, 5*g + x + 2*x - z = 0. Suppose j**3 + 2*j**4 - j - 9*j**2 - 3*j**4 + g*j**2 = 0. Calculate j.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = 2*g**3 + 21*g**2 + 52*g + 79. Let n be m(-8). Is -1016\/65 <= n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -512*t + 2532 = -220*t + 7496 for t.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*d - 4*w = -7, 3*w + 74 - 83 = d for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 5 - -336c33c?\nAnswer: 336c344","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 38\/465 and -23\/7535163.\nAnswer: 1167950265","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) be the third derivative of -c**4\/8 + c**3\/3 - c**2. Let m be q(-2). Suppose -m = 4*a, 4*n - 5*a + 16 = 74. Solve u - n = 4*u for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 116.3 times -376105?\nAnswer: -43741011.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 36\/(-66) + 1027\/(-928499)*-493. Which is greater: 1 or f?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -838 + 837.6. Put 2\/35, -3\/2, n, -0.1 in decreasing order.\nAnswer: 2\/35, -0.1, n, -3\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 23281?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y + 4 = -0*y + 2*r, -r + 11 = 5*y. Let u = 10 + -6. Sort 5, y, u.\nAnswer: y, u, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5*f**2 + 2*f**4 - 5*f**2 + (-f**2 - 2*f**2 - 3*f**2)*(-2*f**2 - 1 + 1) to n*f + t*f**4 + j + o*f**3 + s*f**2 and give t.\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 1*(-894)\/(-48)*-79*-3. Let q = p - 4408. Let t = -413\/558 - 182\/31. Calculate the common denominator of t and q.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p + 4*t = 7 + 3, 0 = 4*p + 4*t - 28. Let d(q) = 0 - 2*q**p - q**2 + 0. Let h(i) = i - i - i + 0. Give h(d(j)).\nAnswer: 3*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 40141*f*y**4 - 2*f*y**3 - 308112*f*y**2 - f - 13*y**5 wrt y.\nAnswer: 963384*f*y - 12*f - 780*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 1729*n*r*w**2 - 22792*n*r*w + 43*r*w**2 - 2*r*w + 279*r - 2*w + 14 wrt n?\nAnswer: 1729*r*w**2 - 22792*r*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -13572\/7 + 1935. Which is bigger: a or -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(133) + 2*sqrt(133) + sqrt(133))*-1)\/sqrt(7).\nAnswer: -4*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round -9597.3597 to the nearest 1000.\nAnswer: -10000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 7 - -12634.5\nAnswer: 12641.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 131\/510 and -1\/51.\nAnswer: 510","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = -y**2 - y - 1. Let l(w) = 9*w**4 - w**3 + 4*w**2 + 4*w - 61. Let f(j) = l(j) + 4*v(j). Differentiate f(a) wrt a.\nAnswer: 36*a**3 - 3*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 = 1249\/317?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -14 - (1 - -1)*-1. What is the common denominator of (-4)\/2 + (-106)\/44 and 97\/2*2\/f?\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = 3*v**2 - 2*v - 5. Let c(o) = o + 1. Determine -2*c(j) - w(j).\nAnswer: -3*j**2 + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 3 (b) -3 (c) 29 (d) -1\/3 (e) -0.4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-24)\/18)\/((-550)\/165). Which is the closest to 2\/9? (a) 0 (b) 0.3 (c) -7.8 (d) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*l - 57, -105*o + 21417*l - 21412*l = -620 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -43 - -55. What is the least common multiple of 96 and y?\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n = -2*n - 380. Let k(s) = 16*s**2 + 255*s + 360. Let f be k(-14). Is n less than f?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -215.098 - -215. Let q = 0.198 + p. Which is the closest to q? (a) -6 (b) -3\/8 (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20 + 30 = 5*g. Suppose f + 11 = -3*q, -g*f - 79 = 2*f + 5*q. Let o = 28 + f. Solve 0 = -o*k + k - 1 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Rearrange -63*b - 48*b - 125*b - 16 - 112*b to x*b + k and give x.\nAnswer: -348","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 94 and 32?\nAnswer: 1504","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence woo when three letters picked without replacement from ooxxxxxxxxoxxqqwww?\nAnswer: 1\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -83 - -129. Calculate the remainder when t is divided by 13.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2009\/574*44\/14.\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 227123, 454642, 682161, 909680, 1137199, 1364718?\n\"Answer: 227519*w - 396","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 s, 2 j, and 1 c when four letters picked without replacement from {o: 4, c: 2, j: 2, s: 1}?\nAnswer: 1\/63","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-746)\/9698*(5 + 48\/(-10)).\nAnswer: -1\/65","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m + 4*m - 30 = 0. Let t(v) = v**2 + 6*v - 5. Let p be t(-7). Suppose p = h, 2*z - 5 = 3*z - 5*h. What is the least common multiple of m and z?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((-5*sqrt(102) - sqrt(102) - sqrt(102))*5)\/sqrt(6))**2.\nAnswer: 20825","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 1\/4 of a century?\nAnswer: 25","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (-245)\/1890*(-348)\/(-105) and 67\/60.\nAnswer: 540","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 707?\nAnswer: 7, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1241a (base 15) to base 7.\nAnswer: -331654","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 38, 128, 374, 854, 1646, 2828, 4478, 6674?\nAnswer: 9494","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -22*h + 10*h + 21*h.\nAnswer: 9*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 4.5 - 4.3. Let q = -0.8 - n. What is the nearest to q in 3, 0.5, 3\/8?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2 - 2 - 1)*(2 - 4 + 0)*(-3*q + 3*q + 2*q - 1 + 1 + 3*q + (6 - 3 + 0)*(2*q - 5*q + 5*q)) to k + r*q and give r.\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = 4*l. Let u(a) = -18*a**2 + 126. Let x(p) = p**2 - 5. Let k(h) = -5*u(h) - 126*x(h). What is k(q(m))?\nAnswer: -576*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is x in -3*x**4\/5 - 141*x**3 - 54888*x**2\/5 - 1396788*x\/5 + 1452384\/5 = 0?\nAnswer: -82, -72, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor -l**2\/4 - 387*l - 402827\/4.\nAnswer: -(l + 331)*(l + 1217)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.303139 - -371.\nAnswer: 371.303139","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 4 + -421244304123?\nAnswer: -421244304114","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 655*f - 623*f - 1440 = 0 for f.\nAnswer: 45","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 85 divided by -78?\nAnswer: -85\/78","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 2, d: 3, k: 6, z: 3, b: 1}. Give prob of picking 1 b and 1 n.\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 7135?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 23*d**2*g**3*j**3 + 14*d**2*g**3 + 3*d**2*j**2 + d**2*j + 3*d*g**2*j**3 + 7*g**2*j**3 wrt g.\nAnswer: 138*d**2*j**3 + 84*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 1 - -5 - 0*(-10)\/60. Let o(u) = 3*u**3 - 2*u**2 + 6*u - 6. List the prime factors of o(v).\nAnswer: 2, 3, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 78954861 to the nearest integer?\nAnswer: 8886","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 32245798*f + 4218973 with respect to f.\nAnswer: 32245798","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 2022 and 1?\nAnswer: 2022","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is (-304431)\/5*46670\/(-2154) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 447941?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -936 = 15077*y - 15181*y for y.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y = -2 + 8. Suppose 3*a + 29 = 5*w, 4*w = 2*a + 27 - 5. What is the third derivative of p**w - 3*p**4 - 2*p**2 + y*p**4 wrt p?\nAnswer: 24*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(125) + -3)**2 + (sqrt(5) - -2*sqrt(80)).\nAnswer: -21*sqrt(5) + 134","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 35787.\nAnswer: 3, 79, 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 2*u - 1)*(-1 - 7 - 1)*((119 + 76 - 235)*(1 - 1 - 1) + 3 - 3 - 3).\nAnswer: 666*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-1)\/(2 - 27\/12). Let v = 0.9 - 1. Let u be (-2)\/(-5) + (-21)\/15. Which is the second smallest value? (a) m (b) u (c) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 18137 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = 35*f**3 - 2*f + 1. Let p be g(1). Let r = -10 + p. Let i be 7\/(21\/r) + -2. Solve -3*u = -0*u - i for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -177 + 322. Is ((-203)\/b)\/(2\/(-290)) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -518165*s**3 + 172694*s**3 - 5 + 5 + 172685*s**3 + 172714*s**3.\nAnswer: -72*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 363 = 5*q + 143. Let z = q + -23. Calculate the remainder when 60 is divided by z.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-3 - (-2 - -2))*-1. Let z be (-370)\/(-380) - (x - (-12)\/(-8)). Is -1 greater than z?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2653248276 a multiple of 441?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1145 = 231*t - 310*t + 119 for t.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = -z**2 + 9*z - 5. Determine g(9).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.004717 - 0.006. What is p rounded to 4 decimal places?\nAnswer: -0.0013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 2 - 2.8. Let o = -38849 - -38847. Which is the closest to 0.1? (a) q (b) o (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i = 7 - 3. Let a(r) = -i - 2 - r - 2. Let l = -155 + 152. Determine a(l).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 177*z = 155*z + w + 6*w + 415, -208 = 7*z - 5*z + 4*w for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*m - 6 = -2*w, -2*w + 27 = -4*m + 21 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 17408, 2, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 3183158197 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t + 336 = 4*t. Is t a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 38 divide 35816?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (6 + 8 + -13)*1?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -15 - -21. Let w = -8 + j. Let z = -5.22 + 0.22. Which is the nearest to -1? (a) -2\/7 (b) z (c) w\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence eeaa when four letters picked without replacement from eaae.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = r**2 - 3*r + 3. Let w(a) = -8*a**2 - 90*a - 213. Let j(v) = -5*b(v) - w(v). Solve j(q) = 0.\nAnswer: -33, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*x - 79488 - 4*x + 13*x + 36807 + 42681.\nAnswer: 2*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -15cab (base 16) to base 11\nAnswer: -61075","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2 by -6070073.\nAnswer: 2\/6070073","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -26037991974 + 0.\nAnswer: -26037991974","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 4669075*b - 7058694 wrt b?\nAnswer: 4669075","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 62656?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 86*d**6 - 35*d**2 + 15*d**2 - 29 + 6*d**2 + 13*d**2 wrt d?\nAnswer: 10320*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1610863 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in 17\/2 of a microsecond?\nAnswer: 8500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h - 2*t - 587 = 539, -4*h - 2*t + 4554 = 0. What is the highest common divisor of h and 639?\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 0 + 1 - 2 - 6 + 35*g + 5 in the form m*g + s and give m.\nAnswer: 35","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = u**3 - 51*u**2 + 136*u + 129. Calculate s(48).\nAnswer: -255","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 269, 1032, 2313, 4118, 6453?\nAnswer: 9324","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -2a + 25?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -3 + c1a81?\nAnswer: c1a7c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(80)*-6 - 2*sqrt(5)*3)**2.\nAnswer: 4500","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is -19 equal to -24?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.3, -36, 4\/7, 0.5, -2\/11 in increasing order.\nAnswer: -36, -0.3, -2\/11, 0.5, 4\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = -i + 29. Let f be p(21). Calculate the highest common divisor of 44 and f.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1926316 and 1417948.\nAnswer: 2492","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = l**3 + 3*l**2 - 2*l - 2. Let r(j) = 15*j + 39. Let q be r(-6). Let b = 66 + q. Suppose -89 + 29 = b*t. What is h(t)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = 73*m + 2121. Determine s(-29).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 6431832?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1152663 = -123*x + 539131 - 410872. Is x a multiple of 64?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*(sqrt(133)*1 + sqrt(133)))\/(6*sqrt(7)*2) + -1*5*((sqrt(19)*-3 - sqrt(19)) + -3).\nAnswer: 15 + 41*sqrt(19)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = -3*i**2 + 30*i + 29. Let l be o(17). Let q = 617 + l. Does 13 divide q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-25 + 10 - 8)*(-3 - 2 + 4)*(2*x + 4*x + 0*x) + 0*x + 0*x + x.\nAnswer: 139*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (396\/63 + -6)\/(-1). What is the nearest to -1 in 1.9, g, -0.2?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*o = -20, 0 = -4*h - 4*o + 8 - 4 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -136, -140, -144, -148, -152?\nAnswer: -156","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 25914 is divided by 1438?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Do -701013 and -701013 have the same value?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -8.4 and 0.21?\nAnswer: -1.764","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 10, 5, 2\/13, -1\/21, 3?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 5865 and 70635.\nAnswer: 255","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -279*k**2 - 29*k - 5*k + 34*k to n*k**2 + z + m*k and give z.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) be the first derivative of -3*l**7\/70 - 3*l**4\/8 + 8*l**2 + 17. Let v(u) be the second derivative of k(u). Find the second derivative of v(j) wrt j.\nAnswer: -108*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -9 (b) -4 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 y and 3 f when four letters picked without replacement from fffyyyfffyf?\nAnswer: 14\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -1055, -2237, -3529, -4931, -6443, -8065, -9797?\n\"Answer: -55*z**2 - 1017*z + 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 5, f: 1, a: 1, i: 3, r: 2}. Give prob of picking 1 i and 1 r.\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 77 + -45. What is the tens digit of y?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 175 - 2*d + 47*d**4 - 34*d**4 + 41*d**4 - 89 - 90 to a + q*d**2 + t*d**3 + s*d**4 + l*d and give a.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*x**2 - 9*x**2 - 3*x**2.\nAnswer: -12*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 166 and 1015?\nAnswer: 168490","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {b: 1, s: 1, c: 3, e: 2, o: 3, u: 2}. What is prob of sequence boeu?\nAnswer: 1\/990","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert 26 (base 8) to base 11.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (-5)\/225*(-72)\/8?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i - m = -873, 62 = 3*m + 59. Let o(v) = 53*v - 5. Let h be o(-4). Which is bigger: h or i?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 66 + -53. Suppose m*y - 272 = -51. Suppose 20*q = y*q + 12. Solve -2*x + 13 = 3*l, l + x - q + 0 = 0 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2389.3429 rounded to the nearest 100?\nAnswer: 2400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 629\/461 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 597 + 2674. Is m a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 19, -10, -5, 4 in decreasing order.\nAnswer: 19, 4, -5, -10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 73135 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-228)\/(-600))\/(-19))\/((-8)\/768*-8)?\nAnswer: -6\/25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 7751.3 or -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 32\/(-6)*(-6)\/4. Suppose n - 5*n + 8 = 0. Suppose 3*l - 224 = 2*u, 4*u = -n*l + u + 132. What is the highest common divisor of l and v?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1 - (4 + (4 + -4 - -1))\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) be the third derivative of -h**4\/24 - 4*h**3\/3 + 4*h**2. Let b(c) = -4. Let w(i) = 5*b(i) - 2*d(i). What are the prime factors of w(4)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) be the second derivative of -p**5\/5 - 4*p**4\/3 - 8*p**3\/3 - 8*p. Factor y(t).\nAnswer: -4*t*(t + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 3.57 - -266.43. Let w = u - 269.7. What is the nearest to -1 in 0.2, -6\/11, w?\nAnswer: -6\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (2*5\/(-60))\/((-17)\/51)?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 680\/1 - (12 + -27 + 20) is divided by 235?\nAnswer: 205","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = v**3 - 3*v**2 + 266*v - 264. Determine m(1).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 104612636 (base 8) to base 5.\nAnswer: 14103343214","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*f + 9 = -b, -5*f = -434*b + 439*b + 20 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is three sixteenths of a millennium in months?\nAnswer: 2250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 318751?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 108\/324 + 50\/(-78) + 480\/39?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*t - 4*t - 4*t.\nAnswer: -11*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.01 + -1.01. What is the nearest to s in 1.1, -5, 2\/3?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = -j**3 - 19*j**2 - 20*j - 33. Let t = -71 + 53. Let z be n(t). Suppose k + 4 = 0, -7*i = -4*i + 4*k + 16. Sort i, -2, z in ascending order.\nAnswer: -2, i, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 11 + -2.2. Let d = i + -9. Which is the third smallest value? (a) d (b) 0.5 (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1674143375?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = j**2 - 2. Suppose -2*z = -3*q - 7*z + 46, -4*q + 5*z + 73 = 0. Suppose 7 + q = 3*c. Suppose 0*i - 4*i + c = 0. Calculate x(i).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2 - 3 + 6)*(-10*u + 17*u + 17*u) to the form t*u + j and give t.\nAnswer: 120","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = u**2 + 34*u + 277. Give f(-18).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-1)\/3)\/((-1)\/3). Suppose n - 5 + 0 = 5*k, -g = -2*k + n. Put k, -4, -3 in decreasing order.\nAnswer: k, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 771943?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -32 + 34. Solve 2*w + 4*w**5 + 14*w**3 - 10*w**z - 10*w**4 + 4*w**3 - 4*w**4 = 0.\nAnswer: 0, 1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate d*z**2 + 46502*d*z + 556093166*d + 888*z**2 with respect to z.\nAnswer: 2*d*z + 46502*d + 1776*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p = 4*f - 15, -2*f = p - 3*f. Suppose 5*x = -p*y + 115, -3*x = y - 5*x - 29. Solve -y = -5*a, 4*a - 3 - 1 = -4*i for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*v = 5*c - 17, 4*c - v = 17 - 2 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does 2284 divide 465655068?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 8.6, -198, 2, -2?\nAnswer: -198","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is (-5)\/(-6)*16\/30*3?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-139*o**4 + 321*o**4 + 180*o**4)*((-2 + 3 + 0)*(-1 + 1 + 1) + 0 - 2 + 4).\nAnswer: 1086*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 11 + -11. Let h be (1 + b)\/(2\/36). Let x = 104 - h. What is the tens digit of x?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 8032*x**5 - x + 3622 wrt x?\nAnswer: 160640*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f + 8 - 2 = 0. Let i be 12\/3 + f + 3. Suppose 3*k + 5*b - 30 = -k, 2*b - 29 = -i*k. Let r(c) = c**2 - 6*c - 5. Give r(k).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 59682 and 261?\nAnswer: 87","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 11 + -15. Let r = 0 - p. Suppose -3*i + r*i = 40. Does 10 divide i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -5427 - -11499. Let j = -5980.78 + c. Let r = -92 + j. Round r to one dp.\nAnswer: -0.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 25*f - 1922 + 1922.\nAnswer: 25*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = -6*r**3 + 4 + 5*r**3 - 8*r**2 + 9*r + 2*r**3. List the prime factors of a(7).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 z and 1 d when two letters picked without replacement from dddzzdzzzzzzzzzzzdd?\nAnswer: 26\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (1 - 2)\/(2\/(-1814)). Let h = d + -1419. Let k = -349 - h. Is k prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 3.21 + -21.21. Let u = j - -18.000184. What is u rounded to 5 decimal places?\nAnswer: 0.00018","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 8eda2d - 11?\nAnswer: 8eda1c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -1 - 85e65?\nAnswer: -85e66","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 585805564 to the nearest integer?\nAnswer: 24203","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 3 - -511211?\nAnswer: 511214","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 230, 874, 1954, 3476, 5446, 7870?\n\"Answer: q**3 + 212*q**2 + q + 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d**(-3\/4))**40*(d\/(d*d**(-2\/5)*d))\/((d*d**5*d*d)\/d))**(-36\/7) assuming d is positive.\nAnswer: d**(6768\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = -83*m**2. Let h(a) = 1133513*a. Calculate q(h(z)).\nAnswer: -106642692857027*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -322.14 - -13.64. Let h = -346 - a. Which is bigger: 0 or h?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -1.1, 52, 1\/9?\nAnswer: -1.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -7159 times -11.37?\nAnswer: 81397.83","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = f**2 - 8*f + 14. Let u be p(6). Solve -u*s = -31 + 35 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 180617 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (5490\/9150)\/(((-1)\/4*14)\/((-10)\/4))?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 13216 to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -3420, -3419, -3418?\nAnswer: -3417","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 2, u: 7, h: 1}. Give prob of sequence uz.\nAnswer: 7\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 r and 1 x when three letters picked without replacement from {r: 7, x: 4}?\nAnswer: 28\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = -13*d**2 + 41*d + 11. Let g(a) = -31*a**2 + 102*a + 26. Let r(f) = 5*g(f) - 12*p(f). Determine r(-21).\nAnswer: 61","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-720)\/(-35) - 4\/7. Suppose 2*l + 2*l = g. Suppose 3*p - l*p + 10 = 0. Put 4, -3, p in descending order.\nAnswer: p, 4, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-6)\/33 + 322\/77?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = 3 - a - 118 + 7*a**2 - 6*a**2 + 630. Is h(0) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4 is divided by 1 + 1 + -1 + 1?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 68 - 74. Let i = t - -28. Let r(k) = 16*k**2 + i*k**2 - 21*k**2. Let c(h) = h**2. Calculate r(c(u)).\nAnswer: 17*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 18 + 0. What is the remainder when o is divided by 12?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a = 11 + 4. Find the first derivative of 7 + 0 + a*j**4 - 13*j**4 wrt j.\nAnswer: -40*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence dd when two letters picked without replacement from {w: 1, d: 3}.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nn when two letters picked without replacement from qnnqnfqqqqnnqqn?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -37 + (6\/22 - 19104\/(-2189)).\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 48 + -49. Let f be 10\/y*(153\/(-135) - -1). Which is the nearest to -1? (a) 65 (b) 1\/11 (c) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 284 and 4049414?\nAnswer: 142","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*q + 3 - 2 - 1 - 11*q.\nAnswer: -7*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 2, s: 2, h: 1, n: 1, e: 1, y: 1}. What is prob of picking 1 e and 1 a?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = f**2 + 3*f - 4. Suppose d + 77 = 5*l + 2*d, 5*l = 2*d + 86. Suppose 0 = -4*i - q - l, i + 5*q + 7 = 4*q. Calculate b(i).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -300312739582.000000359 + 300312739958. Let m = g + -376. What is m rounded to 7 decimal places?\nAnswer: -0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*n = -2*a + 11*n + 30, -5*a = n - 89. What is the remainder when 577 is divided by a?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -2096067*c - 1832670 wrt c?\nAnswer: -2096067","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*b + 15944 = -25000. Is 25 a factor of b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s + 2*s - 8 = 0. Let t = -4 + 1. Let q = 3.2 + t. What is the second biggest value in s, -2, q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:10 PM and 1:02 AM?\nAnswer: 172","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 a and 1 x when two letters picked without replacement from aaaaaaaaaaxaaaaaaaa?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 19405996 to the nearest integer?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = 2*x**2 + 17*x + 48. Let n be b(-10). Let f be ((-1)\/6*2)\/(n\/144). Is -1 smaller than f?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(-1\/3)\/(f\/(f*f**(-1\/5)*f)))**(-4\/9)*f**(-5)*f**2\/f*f*f*f*f*f*(f*f**6*f)\/f**1 assuming f is positive.\nAnswer: f**(1052\/135)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = 4*h**2 - 5*h + 56. Let k be v(8). Let a = k + -272. Solve 15*t - 10*t - 15 = a for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*p + p - 3*p)*(-79 + 25 - 24) as w*p + d and give w.\nAnswer: 156","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -46 + 14. Let z = -29 - t. Suppose 0 = -v + f - 6, 6 + 6 = 4*v + 5*f. Which is the closest to 1? (a) v (b) 1 (c) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1011000100110101 - -10100?\nAnswer: 1011000101001001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -48 in 1, 5\/19, -3\/4, -0.2, -2, 0.04?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = -4*t**2 + 3*t**2 + 2*t**2. Suppose -j - 3 = 5*d + 4, 2*d + j = -1. Let x be m(d). Solve h + x = 9 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 23335704 and 10371424?\nAnswer: 93342816","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = -2*j. Let w(v) be the second derivative of -7*v**4\/12 + 21*v. Calculate r(w(b)).\nAnswer: 14*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put -1178, -3, 2 in descending order.\nAnswer: 2, -3, -1178","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z - 4*t - 80 - 51 = 0, -4*z - 5*t = -545. What is the highest common divisor of 90 and z?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -3 - -0.16513.\nAnswer: -2.83487","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(1\/2)*g*g**10*g*g)\/((g\/(g\/g**(1\/4)*g))\/(g*g\/(g*g**6\/g)*g*g)) assuming g is positive.\nAnswer: g**(49\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = -6*g - 13. Let h(l) = -13*l - 25. Let x(c) = -2*h(c) + 5*j(c). Let r be x(-10). Let d = r + -17. What is the highest common factor of d and 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from hthybmbz. What is prob of sequence bzhh?\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -47025 - -27399. Let h = w - -32855. Is h a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = 69*r**3 + 4*r + 5. Let k(c) = -34*c**3 - 3*c - 2. Give -2*i(q) - 5*k(q).\nAnswer: 32*q**3 + 7*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 12 - 9. Suppose 0*t + 2514 = -4*t + 3*m, -y*m = 3*t + 1896. What is t rounded to the nearest one hundred?\nAnswer: -600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 213036*j - 124048*j - 88990*j.\nAnswer: -2*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -76*c + 41*c = 250*c - 7980 for c.\nAnswer: 28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1201350*m**2 - 1201350*m**2 + 17*m**3.\nAnswer: 17*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -0.4*1685\nAnswer: -674","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2089, 19323, 66101, 157195, 307377?\nAnswer: 531419","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 22786362.\nAnswer: 2, 3, 1265909","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 494065372 to the power of 1\/7, to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3 + (2 + 8 - (-6 - -9)) + 14?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-6)\/28)\/(-3*3\/6)?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -7 - -5. Let i be (1 + k - -9) + 2. Suppose -4*b = 2*f + 4, -2*f = -3*b - 0*f - i. Does -2 = b?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = -u + 4. Let d = 7 - 2. Suppose 4*i = -5*k, -d*i + 5 = 3*k + 18. Solve -b - x = -k*b - u, 3*x = -b + 8 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 8 + 29*s - 49*s**3 + 80*s**3 - 20*s**2 + 26*s - 53*s**3 - 2*s**4 - 54*s in the form c*s**4 + y*s**3 + g + q*s + o*s**2 and give o.\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 425 and 856471135.\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 942972 is divided by 471473.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*v + 3*v + 0*v)*(3 - 5 + 3) + 0*v - 3*v + v.\nAnswer: -3*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 143 + -145. What is the smallest value in a, 1, 0.5, -4.7?\nAnswer: -4.7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hkh when three letters picked without replacement from hhhhhhkhhehheehh.\nAnswer: 11\/280","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 151154989 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k*k*k**(-1)*k*k)**(-6\/17)*(k\/k**1*k)**(-1\/10))\/((k**(-5)*k*k**(-1\/14))\/(k**(-1\/3))**(-2\/95)) assuming k is positive.\nAnswer: k**(99019\/33915)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: (4\/21)\/(((-1210)\/(-77))\/11)\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) be the first derivative of -705*t**4 - 4536*t - 1183. What is the first derivative of i(w) wrt w?\nAnswer: -8460*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1*(47\/((-1269)\/(-72)))\/((-2)\/3)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = -246*d + 245*d + 5 - 5. Let w(j) = j + 3273. Calculate w(l(t)).\nAnswer: -t + 3273","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*t - 7*t - 69 + 2*t.\nAnswer: 2*t - 69","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 5725942, 11451892, 17177848, 22903810, 28629778, 34355752?\n\"Answer: 3*y**2 + 5725941*y - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qht when three letters picked without replacement from ththhrhhthalqhrh?\nAnswer: 1\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -32, 5 in ascending order.\nAnswer: -32, -3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*w - w - 10 = 3*z, -5*w - 15 = 4*z for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in twenty ninths of a hour?\nAnswer: 8000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 31322\/4041 + 12\/449. Calculate the common denominator of 47\/3 and j.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 95 + (-35)\/7 + 9 is divided by 17?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -2\/5 (b) 2.3 (c) -2 (d) 1\/7 (e) 2\/7 (f) 0.3 (g) 2.366\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -31 times 412.16?\nAnswer: -12776.96","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*s - 5 + 11. Suppose -s*r = -o + 540, -520 = -2*o - 4*r + 520. Suppose 3*d = -i + o, -2*d - 435 = 3*i - 2004. Is i a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((-4*sqrt(187))\/sqrt(11) - sqrt(17)) + 0 + -4)*2)**2.\nAnswer: 160*sqrt(17) + 1764","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 7 - (0 + 3 + 3 + -6)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -s + s + 2*s**2 + (47 - 47 - 11*s)*(-2*s - 4*s + 4*s) to t*s**2 + h + j*s and give t.\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = a**2 + 3*a - 1. Let n be (-1)\/((-2)\/3 + 1). Let q be u(n). Let g be (q\/4)\/((-2)\/4). Is g bigger than 0.2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = -3*y**3 + 14*y**2 + 2*y - 2. Let f(l) = 2*l**3 - 13*l**2 - 2*l + 3. Let p(s) = 4*f(s) + 3*n(s). Let u be p(-10). Is u bigger than 27?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = -3*a**3 + a**2 + a. Let d be m(-1). What is the third derivative of -2*g**2 + 3*g**2 - 5*g**d + 0*g**3 wrt g?\nAnswer: -30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 25440 and 9222.\nAnswer: 318","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -7? (a) -145 (b) 1\/2 (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 7 + -1. Suppose -3*s - l + 3 = 0. Which is smaller: s or 3\/2?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = -1412*m. Let b(h) = h**2. Determine x(b(w)).\nAnswer: -1412*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -104 = 3*v - 5*v. Suppose 10*l + 588 = -2*l. Let i = l + v. Solve i*t + 10 = t - h, 0 = -4*t - 3*h - 22 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (495\/22)\/15*-2?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 356425 and 795.\nAnswer: 265","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 5829 - 3250. Is o composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v - v = 0. Suppose v*f = -5*f + 69500000. What is f rounded to the nearest one million?\nAnswer: 14000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = 12*h**2 + 896*h - 13668. Determine x(13).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xc when two letters picked without replacement from {g: 4, o: 1, c: 2, x: 6}?\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-135)\/(-6) + (-3)\/(-6). Suppose -3*i - 5 = -n. Find the third derivative of -127*r**5 - 7*r**i + 2*r**2 + 127*r**5 wrt r.\nAnswer: -840*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (79\/((-7821)\/(-858)))\/((2\/(-45))\/((-1)\/5)).\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*c + 63 = 9. What is the units digit of c?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(180) + 1 + -3*sqrt(45) + 1 + (sqrt(245) - (sqrt(245) + sqrt(245)*-2 + 3 + sqrt(245)))**2.\nAnswer: -45*sqrt(5) + 256","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 5\/63602 and 161\/1122?\nAnswer: 3243702","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of (-2)\/4*(189 + -5235)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-6 + 7 - (0 - -3)) + 3\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 7729 + -7728.48852. Let f = 0.5715 - y. Let g = f + -0.061. Round g to four decimal places.\nAnswer: -0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (2\/(-5))\/(2\/(-10)). Suppose -l*r - 31 = -j - 0*r, 3*r = -4*j + 69. What is the highest common factor of j and 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = 8*h**2 + 46*h - 540. Let c be o(7). Calculate the highest common divisor of c and 1653.\nAnswer: 87","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) be the third derivative of -997*t**6\/20 + 1121*t**3 - 4568*t**2. What is the first derivative of w(b) wrt b?\nAnswer: -17946*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 97, 378, 845, 1498, 2337, 3362?\n\"Answer: 93*t**2 + 2*t + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1 + 7. Let x be 23\/5 - (-4)\/10. Let m be 64 + 3348\/(-62) + -10. Solve t*b - b - x = m for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 22902525?\nAnswer: 3, 5, 101789","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1243 to the nearest integer?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 0.1 - -0.0662172\nAnswer: 0.1662172","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*a**2 + 3*a - 3*a + (-2*a - a + 2*a)*(4 - a - 4) + 14*a**2 + 48*a - 19*a**2 + 67*a in the form b*a**2 + i + w*a and give b.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 1382783581 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -21*t**3 - 10*t**2 - 15.\nAnswer: -126","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = -d. Let u(s) = -2*s - 2. Let c(z) = z. Let f(y) = -6*c(y) - u(y). Suppose -2*i = 7 + 7. Let a = 10 + i. Give a*o(q) - f(q).\nAnswer: q - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1 - -1. Which is the closest to 2? (a) -5 (b) 3 (c) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -t**2\/2 + 1424527*t - 2029277173729\/2 = 0. Calculate t.\nAnswer: 1424527","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) be the second derivative of -69*c + 0*c**2 + 7\/4*c**5 + 0 + 0*c**4 - 49\/6*c**3. What is the second derivative of o(i) wrt i?\nAnswer: 210*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -7 + 12. Suppose 5*a + 10 = 5*x, -1 = -5*a - 3*x + 5. Solve y + l*w - 8 = a, -w - 14 = 2*y - 6*w for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000003757 rounded to 7 dps?\nAnswer: 0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -60280\/1671 or -36?\nAnswer: -60280\/1671","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 164*y**5 - 4*y**3 - y**2 - 218.\nAnswer: 9840*y**2 - 24","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = -13*o + 204. Let l be j(16). Let c(t) be the first derivative of -t**3\/3 - 2*t**2 + 8*t - 1. Let u be c(l). Solve 5*d = 3*d + u for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 2201723, 2201730, 2201737, 2201744, 2201751?\n\"Answer: 7*v + 2201716","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) be the third derivative of 0*g + 0 - 9\/40*g**6 - 3\/8*g**4 - 1\/6*g**3 - g**2 - 9\/20*g**5. Factor b(o).\nAnswer: -(3*o + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -409 in -3\/5, -0.2, -0.3?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 18598169041 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (6\/8)\/(8\/(-32)). Let k be (m\/6)\/((-3)\/12). Suppose -2*f - 24 = f - 5*l, l + 12 = -5*f. Put k, -5, f in descending order.\nAnswer: k, f, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 1967765281 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*q**5\/7 - 38*q**4\/7 + 530*q**3\/7 - 1450*q**2\/7.\nAnswer: -2*q**2*(q - 5)**2*(q + 29)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = -q - 33. Determine v(-14).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z + 30 = -2*f, 2*f - z + 22 = -24. Let c be (-2737)\/f - 3\/9. Calculate the greatest common divisor of c and 52.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 43622575337 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = -7*d + 9. Let o be l(-4). Let r = -33 + o. Suppose r*k + 0 - 32 = 0. Calculate the smallest common multiple of k and 12.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1535140745 to the power of 1\/10, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*c - 11*c = 104. Suppose c*z + 92340000 = 8*z. Round z to the nearest 100000.\nAnswer: -5100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 18810 and 270?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 520 minutes before 6:04 PM?\nAnswer: 9:24 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -1 - -1*(2 - 1). Suppose t + u*t = s - 13, 0 = -2*s - 4*t - 4. Is s 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 -110 - -1001111?\nAnswer: 1001001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 26172691 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.72 + 0.72. What is the nearest to -0.1 in -3, n, 1?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -646.999998439 + 647. What is o rounded to 6 decimal places?\nAnswer: 0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) be the first derivative of -8*d**6\/3 - 3*d**4\/2 - 7*d**2\/2 + d + 152. What is the second derivative of u(x) wrt x?\nAnswer: -320*x**3 - 36*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 301264617 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-5)\/5 + (1 - 0). Let w be (-1 + (d - 1))*-1. Sort w, -2, -1 in descending order.\nAnswer: w, -1, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 92.93701 nanoseconds to seconds.\nAnswer: 0.00000009293701","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 951.7617 milliseconds in minutes?\nAnswer: 0.015862695","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = d**3 + 28*d**2 + 27*d + 68. Let s be y(-27). Calculate the greatest common factor of 425 and s.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j = 5*u - 49, 5*j - 12 = -8*u + 6*u. What is the tens digit of u?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 733*o - 1456*o + 723*o - 1284*o**3 + (4 - 3 - 3)*(-11*o + 10*o + 11*o)*(-6*o**2 - o**2 + 5*o**2).\nAnswer: -1244*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*a - a - 3 = -12, 2596*m - 2597*m = 8*a - 31 for m.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = 3*q**2 + 5*q - 72. Is p(9) a multiple of 54?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -26*r + 2 - 1 - 1.\nAnswer: -26*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 180, 822, 1892, 3390, 5316, 7670, 10452?\n\"Answer: 214*p**2 - 34","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 201282?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a*a**(-39)*a*a)**14 assuming a is positive.\nAnswer: a**(-504)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9856 is divided by 3276.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of (-150)\/(-20)*(2 - 728\/(-12))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p = -5, 4*p + p = 4*w + 5. Suppose w = -r - 141 + 339. Does 22 divide r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = -26*t**2 - 616*t + 866. Determine n(-25).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q - 13 = -0*q - 5*f, -2*q + 3*f = 7. Suppose q*s - 3*s = 5. Solve 4 = -s*p + 24 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -120 + 32121202?\nAnswer: 32121032","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = -p**2 - 10*p - 17. Let k be t(-10). Sort -2, 8, k, 1 in descending order.\nAnswer: 8, 1, -2, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1936175803 to the power of 1\/2, to the nearest integer?\nAnswer: 44002","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert 17 (base 8) to base 4.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 15 - 14. Which is the third biggest value? (a) l (b) 0.4 (c) -2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1209387161 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 divided by 4112.\nAnswer: 1\/2056","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*g**3\/9 - 2*g**2\/3 - 20*g\/9 + 16\/3 = 0. What is g?\nAnswer: -3, 2, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -2\/53 - -112\/159. Suppose -2*l - 6 = 0, u + u - 2*l - 10 = 0. Let p - a - 2\/3*a**u = 0. What is a?\nAnswer: -2, 1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nt when two letters picked without replacement from ttpn?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = 2*g**2 + 3*g + 269. List the prime factors of h(-21).\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.07*-0.5\nAnswer: 0.035","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-236)\/60 - -4)*(-10)\/3.\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 161095.9 - 161356.8861. Let t = -382 + 643. Let y = t + z. Round y to three dps.\nAnswer: 0.014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = 3*y**3 + 3*y**2 + 2*y - 7. Let s(w) = -7*w**3 - 7*w**2 - 5*w + 15. Let c(f) = -9*n(f) - 4*s(f). Calculate c(-2).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w - 89 - 97 = 0. Suppose -24 = -2*z - 4*j, -z + j + 8 + 16 = 0. Calculate the remainder when -3 + w - (-2)\/(-2) is divided by z.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1810\/15 + 3\/(18\/(-4))?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((117\/(-104))\/3)\/((-2)\/4072). Let g = 807 - u. Find the common denominator of -37\/164 and g.\nAnswer: 164","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 + (-6)\/(66\/305) + (-12)\/44?\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 9750 and 95250?\nAnswer: 750","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22 = 10*t + i, -t + 4*i + 6 = -0*t. Let g = 1 - 1. What are the prime factors of (t + (2 - -2))*(g + 47)?\nAnswer: 2, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2128986 divided by -6\nAnswer: 354831","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1\/175 or 1?\nAnswer: 1\/175","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11*n**2 + 6*n**2 + 14*n**2 - 28*n**2.\nAnswer: 3*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2603, -2599, -2593, -2585, -2575, -2563?\nAnswer: -2549","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 55 and 1761485.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 123903091661 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*((1*sqrt(45))\/sqrt(9) - (2 + sqrt(5) + -3))**2.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = 5*c**3 - 4*c + 9. Let w be n(15). Let y = 26727 - w. Suppose -z = 3*q - 0*z - y, -z = -3. Round q to the nearest one thousand.\nAnswer: 3000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.6710972 months in centuries?\nAnswer: 0.001392581","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*j - 1758992 = -346970. Is j a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*h**4 + 395*h**3 - 5*h - 28*h**3 - 151*h**3 - 162*h**3 to o*h**4 + k + b*h**2 + d*h + w*h**3 and give o.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -2 + 32b61?\nAnswer: 32b5b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*s + s + 6 = 0 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 24 - 14. Calculate the remainder when 37 is divided by k.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 40*z - 11209 + 2649. Calculate the remainder when 1073 is divided by z.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -1 - (-8 - -5 - 4). Let v be 38\/z*(-55 + 58). Solve -2*b = i - 8, 4*i + 5*b = v + 4 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -68*c**3 + 72*c**2.\nAnswer: -408","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1*sqrt(180) + 2)*-3 + -5 - (-3 + (sqrt(180) - (sqrt(180) + 2*sqrt(180))) - sqrt(180))*2*-6)**2.\nAnswer: 18612*sqrt(5) + 198229","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -4\/5? (a) 1 (b) 3023\/3 (c) -6 (d) 7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = g + 2*g + 2*g + g**2 - 5 - 722*g**3. Let k be s(4). Let p = 81177 + k. Round p to the nearest 10000.\nAnswer: 40000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 38640 to the nearest integer?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -1066 (base 10) to base 13\nAnswer: -640","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 46683 and 13986.\nAnswer: 189","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1 + -9 - 0) + (-185 - -191)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let 5*y**5 + 25*y**4 - 45*y**3 - 85*y**2 + 40*y + 60 = 0. Calculate y.\nAnswer: -6, -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -59 - (47 + -65 - -7).\nAnswer: -48","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 2844 - 1233. What is the tens digit of (z\/15 + -7)\/((-2)\/(-5))?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1772, -975, -178, 619, 1416?\nAnswer: 2213","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w - 42 - 74 = 0. Let p(q) = -4*q**2 + 2*q + 1. Let d be p(-1). Let j = d + w. Is j a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((g*g\/(g**(-1\/6)\/g))\/g)**31)**50 assuming g is positive.\nAnswer: g**(10075\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 7 + -17. Let p = 8 + r. What is the closest to 2 in 0.1, p, 4?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(5 + -4*(sqrt(192) + -1)**2*-4*6)*6.\nAnswer: -555990 + 46080*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.3026 in -11, 50, -2\/9?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*(3 + -4*((sqrt(1573) - (sqrt(1573)*2 + 3)) + 5*2*sqrt(1573)))*2)**2*3 + -3.\nAnswer: -3564000*sqrt(13) + 611649897","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(28)\/(-1*sqrt(2)) + sqrt(14))\/(sqrt(7) - sqrt(112)*3).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -227 take away 4.4?\nAnswer: -231.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ekibikebdbbk. Give prob of sequence ei.\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 492\/410 + (-1152)\/(-15). Solve 0 = 9*s - 132 + a for s.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -220.9 + 221. Put 3, -10, c in increasing order.\nAnswer: -10, c, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -2\/53 - -112\/159. Let h be (-201)\/(-36) + 2\/(-8). Suppose v - 76\/3*y**3 + 50\/3*y**2 - 16\/3*y - h*y**5 + 56\/3*y**4 = 0. Calculate y.\nAnswer: 1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 1\/(-2)*1*-2. What is the smallest value in -1, i, -0.5?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 845 = 14*y + 688 - 4001. Calculate the remainder when y is divided by 157.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 2\/2 + -13*(1 - -2). Let o(x) = -x**3 - 2*x**2 + 3. Let f be o(-3). What is the tens digit of f\/(-8)*z\/3?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 2 - (-3)\/(-6)*0. Suppose -u*g - 4 = -2*f, 5*g + 2*f = 6*f - 5. Find the third derivative of 2*i**2 - 2*i**g + 2*i - 2*i wrt i.\nAnswer: -12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -12*-2*3\/12. Let h(o) = -o + 8. What are the prime factors of h(l)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -54073 + 530423. Let y be b\/7 - 1*-1. Suppose 5*h = -y - 391949. What is h rounded to the nearest 10000?\nAnswer: -90000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13641063769 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 692369833 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express 16*u**3 + 6*u**3 + 31315*u - 2 - 9*u**3 - 3*u**2 - 31314*u as i + h*u + g*u**2 + z*u**3 and give h.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.2 less than 614?\nAnswer: 614.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((l**(-2)\/l)\/(l*l**(-1\/11)*l))\/(l**(-3\/7)*l\/(l*l**4)))\/((((l**(-5\/4)\/l)\/l)\/(l\/l**(-2\/7)))\/((l*l**(2\/9)*l)\/(l\/(l**1\/l)))) assuming l is positive.\nAnswer: l**(14629\/2772)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 29, -4, 2 in increasing order.\nAnswer: -4, 2, 3, 29","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) be the first derivative of -c**3\/3 + 2*c**2 - 5*c + 2. Let x(n) = -2*n**2 - 12*n + 58. Let h be x(-9). Give k(h).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -5 (b) 0.1 (c) 0 (d) -0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 2 (b) 26838158 (c) -2 (d) -2\/5 (e) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0462652 rounded to 1 decimal place?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1828677.\nAnswer: 3, 149, 4091","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/5 in -0.3, 2, -1\/20, 2\/13?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many kilometers are there in 46.62084 nanometers?\nAnswer: 0.00000000004662084","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -33 - (-28 - -15 - 24)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = g**3 - 9*g**2 + 23*g - 27. Let n be 36\/120 + (-6 - 468\/(-40)). What is c(n)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 52 + -47. Solve j - 3 = -y - 0, o*j = -2*y for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) be the first derivative of -a**5\/60 + a**4\/24 + a**3\/2 - a**2\/2 + 6. Let h(v) be the second derivative of r(v). Calculate h(5).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = -20*p - 24. Let i(s) = 10*s + 13. Determine -7*i(q) - 4*u(q).\nAnswer: 10*q + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1611*v + 1630*v = 266 for v.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.04 - 11.96. Let w = 8 + j. What is the closest to 1 in 0, 3\/4, w?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 412, 8, 93, 2 in decreasing order.\nAnswer: 412, 93, 8, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) be the second derivative of -89*j**6\/30 - 170*j**2 + 355*j. What is the derivative of d(c) wrt c?\nAnswer: -356*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 119\/30 and ((-46)\/10350)\/(16\/(-1164))?\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7 - 7 + 4)*(4 + 2*a - 4).\nAnswer: 8*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = 6*l. Let n(o) = 36*o**2 - 28. Let p(b) = -4*b**2 + 3. Let g(w) = -3*n(w) - 28*p(w). Determine i(g(t)).\nAnswer: 24*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 1018?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 10871613667 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*n**3 + 5158*n**2 - 5156*n.\nAnswer: -2*n*(n - 2578)*(n - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 112 + -107. Which is the closest to -1? (a) -0.2 (b) v (c) -16\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g = w + 1 - 8, 5*w - 21 = -g. Solve -5*b = -b - w for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 79\/10 and -31\/1372?\nAnswer: 6860","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c - 13 = -2*m, -5*c + 10 = 4*m - m. Suppose -4*z - 3 = -3*z, 2*a - 17 = 3*z. Suppose a*d - 7 = -4*h + 13, m*d + 15 = 0. What is the units digit of h?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 59\/27 and (386\/(-216) - -2)*50\/35.\nAnswer: 378","meta":{"dup_signals":{},"source":"numbers__lcm_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the value of -17 + (-3 - -6) - -5?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (2*144)\/(-2) + 16 + -16. Calculate the common denominator of 27\/q*4 + 137\/(-44) and 49\/8.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: c4a (base 14) to base 15\nAnswer: ab3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 2 + -3 + -22*23487\/1560. Let v = 4382\/13 + m. What is the common denominator of v and -29\/44?\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) be the third derivative of 1509*l**5\/20 + 3379*l**4\/24 + 1097*l**2. What is the second derivative of k(s) wrt s?\nAnswer: 9054","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y**(-2\/41)*y**(11\/3)\/y*y)\/(y\/y**7*y)**28)**29 assuming y is positive.\nAnswer: y**(512285\/123)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = j**3 + 58*j**2 + 477*j - 30. Determine q(-10).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -394*n + 25 = -403*n - p, -3*n + 8*n + 9 = -3*p for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_test"},"subset":"dm_maths"} +{"text":"Question: Round 0.00003115 to 5 dps.\nAnswer: 0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 + 145 = 32*p. Sort -3, 3, p, -20.\nAnswer: -20, -3, 3, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.095 and -0.07.\nAnswer: 0.00665","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 230, 292, 344, 380, 394, 380, 332?\n\"Answer: -a**3 + a**2 + 66*a + 164","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s - 2*t = 2, 0 = -s - 5*t - 6 - 3. Let h(k) = 5*k**2 + k - 1. Does 2 divide h(s)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -538576, -538581, -538590, -538603, -538620, -538641, -538666?\nAnswer: -538695","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) be the first derivative of m**5\/30 - m**3\/3 - m**2 + 2. Let h(a) be the second derivative of i(a). Differentiate h(u) wrt u.\nAnswer: 4*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -10, 2, -38 in increasing order.\nAnswer: -38, -10, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = -4 - 5 + 1 - t - 3. Let z be s(-13). Suppose -2*k = -2*m - 10, -z*m - 8 = -0*k - k. What are the prime factors of k?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 431762, 431857, 431952, 432047, 432142?\n\"Answer: 95*n + 431667","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n = 1827 - 1903. Calculate the remainder when 3*3\/(-9)*-71 is divided by n.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 28 - 14. What is the remainder when 68 is divided by i?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -1 - (1 + 5)\/(-2). Suppose 4*w + 7 = 4*n + 3, -w + 2*n = 4. Find the third derivative of -w*a**o + a**2 - 9*a**2 - 18*a**4 + 14*a**4 wrt a.\nAnswer: -96*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 7137740, 7137744, 7137758, 7137788, 7137840?\n\"Answer: s**3 - s**2 + 7137740","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 2000201 + -210202?\nAnswer: 1012222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = j**3 - 11*j**2 + 22*j - 1. Let l be i(9). Suppose -3*x - 11 = -l. Solve 5*k + 6 = x*k for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5678 divided by 1523?\nAnswer: 5678\/1523","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11114*z + 914622 = 4110*z + 263250 for z.\nAnswer: -93","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = 2*j**2 + 89*j - 2434. Give a(-64).\nAnswer: 62","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1958639717?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*y - 5*h - 37, h - 45 = -3*y - h. Let p = -55 - 28. Let k = 120 + p. What is the remainder when k is divided by y?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -b**4 - 10991*b**3*y - 2*b**2*y - 16605*b**2 wrt b.\nAnswer: -24*b - 65946*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let 5*d**3 - 260*d**2 - 5*d + 260 = 0. Calculate d.\nAnswer: -1, 1, 52","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 4147 and 253.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 23745?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6296 = 323*o + 240*o - 33*o + 31736 for o.\nAnswer: -48","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*b - 8*b = 5. Calculate the remainder when 9 is divided by b.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = 289*f**3 - 12*f**2 - 14*f + 25. Calculate j(1).\nAnswer: 288","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 3683629 at most as big as 3683636?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1726\/9 + -192. What is the nearest to 0.2 in s, 0.7, 3?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 9, -3, 1, 178, 5 in decreasing order.\nAnswer: 178, 9, 5, 1, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {t: 6, m: 1, q: 2, o: 3, l: 1}. What is prob of sequence mom?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0.3 - -7.7. Let g = -7 + a. What is the third biggest value in g, -5, -1\/3?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 189328573 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -887\/2 - -446. Which is the second biggest value? (a) 2 (b) g (c) 2\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -251235, -502476, -753717, -1004958?\nAnswer: -1256199","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 36*u**4 - 1029*u**3 + 3651*u**2 + 3261*u - 1455 = 0. Calculate u.\nAnswer: -1, 1\/3, 5, 97\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 1270*b + 174893 - 60593 for b.\nAnswer: -90","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 124022.119 plus -1.08?\nAnswer: 124021.039","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f - 2*f + 3*h = -1, 5*h + 11 = 4*f. Suppose -10 = 3*n - 4*n. Calculate the least common multiple of n and f.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1586*k + 1910*k - 4922*k to the form h*k + y and give h.\nAnswer: -1426","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -4\/53, 907, -2 in descending order.\nAnswer: 907, 1, -4\/53, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 87.19862ml?\nAnswer: 0.08719862","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 10, 16, 18, 10, -14, -60?\nAnswer: -134","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 g when two letters picked without replacement from glgggvl?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00609 rounded to 3 decimal places?\nAnswer: 0.006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2*b**5*l**3 - 749*b**3*l**3 - b**2*l**3 + 34*l**3 wrt b?\nAnswer: -120*b**2*l**3 - 4494*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1029*h + 1129*h - 2154*h.\nAnswer: 4*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*d + 2*w + 30, 2*w + 0*w + 10 = -d. Let o(i) = -i**2 - 17*i + 12. What are the prime factors of o(d)?\nAnswer: 2, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*((-2 + 1 + sqrt(245) + sqrt(245) + (sqrt(245) + 1)*-3)*-3*3)**2.\nAnswer: 4536*sqrt(5) + 21141","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-32)\/10 - (7\/(-5))\/7.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*l = -c + 9, -c = -l + c + 2 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = -18*u**3 + u**2 - 2*u - 2. What is j(-1)?\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 3\/40 of a century?\nAnswer: 90","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 4 + -5\/2. Suppose 3*r + 5*k = 3*k - 52, 4*k = 5*r + 72. What is the common denominator of r*(-1)\/(-28)*9 and t?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: (52*(-84)\/(-9100))\/(3\/35)\nAnswer: 28\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 62*h**2*v**3 - 138*h**2*y**3 - h*q*v**3*y**2 + 2*h*q*v**3 - 4*h*v**3*y**3 - 2*q*v*y**3 - 11*q wrt y.\nAnswer: -828*h**2 - 24*h*v**3 - 12*q*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(sqrt(1539) + -1 + -1 + (sqrt(19) - sqrt(171))).\nAnswer: -42*sqrt(19) + 12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand x**5 - 3*x**5 + 0*x**5 + 3 + 4*x**5 - 3 + (0*x + 0*x - x**3)*(-4*x + 4*x + x**2).\nAnswer: x**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put together -44.62821488 and -0.074197.\nAnswer: -44.70241188","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1222 + 1180 + 2 + -20?\nAnswer: -60","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m**(-6))**(1\/9))**(-10) assuming m is positive.\nAnswer: m**(20\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 24 and 6127680?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express ((5*k**2 - 4*k**2 + k**2)*(3 + 5*k - 3) + 2*k + k**3 - 2*k)*(2*k + 2*k - 5*k) as d*k**4 + x*k**3 + z + p*k + a*k**2 and give d.\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = 22*c**2 - 3*c - 2. Is t(3) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 75660, 75908, 76156?\nAnswer: 76404","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -17, -86, -195, -338, -509, -702?\nAnswer: -911","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i - 5*o = -430, -6*i + 250 = -3*i + 5*o. Let d(q) = -791*q + 2462. Let k be d(3). Is k at least as big as i?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 578 is divided by 483?\nAnswer: 95","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1007956602?\nAnswer: 2, 3, 233, 80111","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*b**2 + 5*b**2 - 4*b**2 + 2 - b**2 - 2 + (b**2 + 5*b - 5*b)*(4 + 1 - 3).\nAnswer: 2*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*a - 347 + 173 = -154, -4*a = -i + 17 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is -22 less than -4149\/196?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1759634?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Does 43 divide 1376?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in three eighths of a kilogram?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 3408803?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (0\/(21\/3))\/(-2).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 4, b: 3, v: 9}. Give prob of sequence bv.\nAnswer: 9\/80","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round -1075.3084 to the nearest ten.\nAnswer: -1080","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence dhz when three letters picked without replacement from xqhdiiz.\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = -4*j**3 + 12*j**2 - 8*j + 15. Give w(3).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (549*y - 1105*y + 554*y + 96)*(-4*y - y + 3*y)*(3*y - 4*y + 7*y).\nAnswer: 24*y**3 - 1152*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put 1309, -0.4, 0.082, 3 in descending order.\nAnswer: 1309, 3, 0.082, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -1687*-17329\nAnswer: 29234023","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0086706646 to four decimal places.\nAnswer: 0.0087","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 2.8168 - 2.9168. What is the nearest to t in 4\/3, 0, 1\/7?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 102, -11, -3, 42, -6, 3, 1 in increasing order.\nAnswer: -11, -6, -3, 1, 3, 42, 102","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert 552.8726um to centimeters.\nAnswer: 0.05528726","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/6219 <= -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -63*f**4*h - 5*f*h*r + 17*h*r - r wrt f.\nAnswer: -252*f**3*h - 5*h*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -1336915, -2673854, -4010829, -5347840, -6684887, -8021970, -9359089?\n\"Answer: -18*p**2 - 1336885*p - 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a - 3*o + 23 = 4*a, -5*o - 35 = -4*a. Let j(b) = b**3 + 14*b**2 + 13*b + 6. Let n be j(-13). Let y be (-182)\/(-42) + (-2)\/n. Solve -2*z + y = a for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 269082739 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor q**2 + 402773*q + 1208310.\nAnswer: (q + 3)*(q + 402770)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = -n**2 - 11*n + 99. Let p be m(6). Put -6, 5, 4, p in descending order.\nAnswer: 5, 4, p, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -19 + 27. Let a = 10 - w. Solve -n - 1 = 3*h, 3*n + a*n - 9 = -h for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(-1\/11)*w)**(-36)*(w*w\/(w\/(w\/(w**0\/w))))**(-6\/23) assuming w is positive.\nAnswer: w**(-8478\/253)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 j when four letters picked without replacement from {c: 1, r: 6, j: 8}.\nAnswer: 2\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.349317 plus 1?\nAnswer: 1.349317","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 10815 and 22400.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round 600.8 to the nearest one hundred.\nAnswer: 600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 60 a factor of 13172589?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = 24 - 8 - 16 + 0 + 1 - 166*u. Let f(l) = -2*l. Calculate f(a(h)).\nAnswer: 332*h - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort -40, -8, 3 in increasing order.\nAnswer: -40, -8, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3334201 divided by -3334201.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = k**3 - 24*k - 8 + 23*k + 7. Let n(g) = -2*g**3 - 2*g**2 + 2*g + 4. What is 4*d(u) + n(u)?\nAnswer: 2*u**3 - 2*u**2 - 2*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h\/(h\/(h\/(h*h**(-2)*h))))**12 assuming h is positive.\nAnswer: h**12","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (-2)\/((-5)\/((-1940)\/(-8)))?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.4, -0.5, 5440, -1, 0.17 in decreasing order.\nAnswer: 5440, 0.17, -0.4, -0.5, -1","meta":{"dup_signals":{},"source":"comparison__sort_test"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -238*i**3*r**2 - 2*i**2*r**2 - 207*i*r**2 wrt i?\nAnswer: -1428*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l - 1 = 7. Suppose -2*r - 6 = 3*w, 2*w + 19 = -l*r + 7. What is the first derivative of n**2 + w + 3 + 0*n**2 wrt n?\nAnswer: 2*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 167861 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -3*n*p**6 + 8*n*p**4 - 3*n*p**2 + 29*p**2 wrt p.\nAnswer: -360*n*p**3 + 192*n*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve x**4 - 1931*x**3 - 11623*x**2 + 1931*x + 11622 = 0.\nAnswer: -6, -1, 1, 1937","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 422 divided by -422.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 0\/((38\/8 - 4)*-4). Let r(q) = -q**3 + 5*q**2 + 2*q - 6. Let x be r(5). Which is the smallest value? (a) x (b) g (c) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-4)\/14 + 92\/28 - -8. Find the third derivative of i*p**6 - 18*p**2 + 33*p**3 - 33*p**3 wrt p.\nAnswer: 1320*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 19577010197 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 697951212.\nAnswer: 2, 3, 7, 8308943","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 divided by -116543.\nAnswer: -5\/116543","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = 2*w + 2. Let h be ((-20)\/12)\/(15\/(-54)). Let x be h\/(6\/(-5)) + 2. Give u(x).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-6565)\/1010)\/((-3)\/(-30))\nAnswer: -65","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o = o - 2473098. Suppose -2*a + 2849998 = -5*t, -o = 4*t + 5*a + 1043456. Round t to the nearest one hundred thousand.\nAnswer: -600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = -2*n**2 + 22*n + 162. Let v be j(-5). Suppose -3*k + 12452 = -2767. Suppose -5*o + v*o = -k. Is o prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.24 - -0.08. Let o = 399788.8399993 + -399789. Let z = i - o. What is z rounded to 6 decimal places?\nAnswer: 0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.2 and -17.\nAnswer: 3.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 13707 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/3, 1, -5, -1545 in descending order.\nAnswer: 1, -1\/3, -5, -1545","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -0.0983 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {x: 5, d: 2, b: 6, o: 5, v: 1}. What is prob of sequence vbb?\nAnswer: 5\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 r and 2 y when four letters picked without replacement from {y: 5, r: 8}?\nAnswer: 56\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = x - 4. Let b(y) = -y + 4. Let f(l) = 6*a(l) + 5*b(l). Suppose -11*c - 38 = -126. Let k be f(c). Solve 0 = u - 4, 2*m + 3*u - k*u + 10 = 0 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*r - 18*r - 292 = -4*v, 12 = 3*r. Calculate the remainder when v is divided by (-204)\/(-15) - (-4)\/10.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 12468 and 849516.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 87 + -25. Does 6 divide d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4698291 divided by -1566097?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(-3 + 1*sqrt(891) - (-4*(-1 + sqrt(891)) + sqrt(891)))*5)**2.\nAnswer: -201600*sqrt(11) + 5722000","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 0, -5, -16, -33, -56, -85, -120?\n\"Answer: -3*q**2 + 4*q - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19*g + 21*g = 4. Let q(f) be the second derivative of f + 0 - 1\/3*f**3 + 3\/2*f**g. Differentiate q(h) with respect to h.\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 5895?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = -60721*d + 607168. Determine l(10).\nAnswer: -42","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1648*b**2 + 12235299*b - 12235299*b.\nAnswer: -1648*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 72661040.\nAnswer: 2, 5, 79, 11497","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 4 - 1.8187274267458\nAnswer: 2.1812725732542","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 130*s**6 + 49*s**4 + 2*s**3 + 79861619*s**2 wrt s?\nAnswer: 15600*s**3 + 1176*s + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = -20*p**3 - 3*p + 1. Let h(z) = z. Let m(a) = 5*h(a) + u(a). Let l be (2 - 3)*4 + 3. What is m(l)?\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 10 and 1010.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 36740 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.066 - 1539?\nAnswer: -1538.934","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round -42770000 to the nearest one million.\nAnswer: -43000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 7538 - 7532. Is 4 != t?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1331302021?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -33415226 - 32860698 + 9159978 = -46*t. Is t a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 152\/(-22) - (-2)\/(-22). Is -7 - (-2 + 93296\/z) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 88\/72 + -1 - (-43)\/9.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = k + 1. Let p(q) = -43*q + 3. Let y be p(-2). Let l = y + -95. Give x(l).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 2\/(-15) - (166360\/(-75) + -5). What is the highest common factor of n and 13?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1350899 a multiple of 127?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:02 AM and 6:40 PM?\nAnswer: 458","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-11 - -14)\/(6\/4). Suppose j*f - 566 = 262. Suppose 7*y = y + f. Calculate the greatest common factor of y and 46.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = 2*l**2 + 4*l**2 - 5*l**2. Let j(d) = -d - 1. Let q(y) = 7*y**2 + 6*y + 6. Let x(u) = 6*j(u) + q(u). Determine w(x(i)).\nAnswer: 49*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 16 + -64. Is m at most -0.1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 3840 and 585.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -40 + 52. Suppose n*o = 13*o - 11. What is the greatest common divisor of o and 77?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 11 and -301.\nAnswer: -3311","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 512\/11 + -1939\/66. Let q be (-23)\/(4 + 26\/(-6)). Calculate the common denominator of f and (30\/(-315))\/((-2)\/q).\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 56599.8 millilitres?\nAnswer: 56.5998","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3864.42*-0.08.\nAnswer: -309.1536","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1.3*0.113.\nAnswer: -0.1469","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0017028 rounded to 3 dps?\nAnswer: 0.002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) be the third derivative of k**5\/30 - 5*k**2. Let a(c) be the second derivative of 0*c**3 - 2*c + 0*c**2 + 1\/3*c**4 + 0. Calculate l(a(i)).\nAnswer: 32*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 13652 * 1.5\nAnswer: 20478","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = 2*p**3 + 37*p**2 + 49*p - 83. Let u be b(-17). Let f = 0 - -88. Let s = f + u. Calculate the greatest common factor of 65 and s.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 176.99558 - 177. What is h rounded to 3 dps?\nAnswer: -0.004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1324 - 6849\/5. Let r(b) = -2*b**2 + 15*b - 19. Let c be r(9). Is t equal to c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*y + 0*y - 6*y + 0*y.\nAnswer: -11*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (9\/54)\/(((-2)\/(-4))\/((-6)\/21)).\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 7086 to the nearest integer?\nAnswer: 84","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 5, 21\/10700 in ascending order.\nAnswer: 21\/10700, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 3, w: 3}. Give prob of picking 1 w and 1 q.\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 216 = 3*f - 2*q - 966, -5*f = -4*q - 1968. Let t be (-10)\/9 + 4*11\/f. Is -1\/35 < t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = 3*o - 19. Let k(p) = -p + 10. Let x be k(o). Let m(z) = 3*z**2 + 41*z - 56. Let c be m(-15). Solve x*h - 2*s = -7*s - 25, c*s = 3*h - 6 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-3)\/7)\/(14\/(-98)). Suppose t - 4*p = -6*p + 22, -37 = -t + g*p. What is the remainder when 222 is divided by t?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 124 - 122. Suppose 0*y = -3*y - 3*k + 105, -5*y = -m*k - 182. Calculate the least common multiple of 32 and y.\nAnswer: 288","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1882.796 - -4?\nAnswer: -1878.796","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 117\/88 + 1\/264. Factor 4\/3*m**2 + 0*m + 0 + b*m**3.\nAnswer: 4*m**2*(m + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = 123*r + 6061. List the prime factors of v(0).\nAnswer: 11, 19, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 16 + -5. Let y(b) = -2*b + 10. Let c be y(l). Calculate the smallest common multiple of 18 and ((-3)\/2)\/(c\/160).\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 64.58551 litres to millilitres.\nAnswer: 64585.51","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) be the second derivative of a**5\/150 + 11*a**4\/30 + 59*a**3\/45 - 31*a**2\/5 - 950*a. Factor g(m).\nAnswer: 2*(m - 1)*(m + 3)*(m + 31)\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 16308 and 2484.\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: (24 - 62 - -41)\/(2 - 1\/(6\/777))\nAnswer: -2\/85","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 20223 (base 4) to base 15.\nAnswer: 270","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 301061872 to the power of 1\/4, to the nearest integer?\nAnswer: 132","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -36 + 57. Suppose -w = -d + 20 + 4, w = 2*d - p. Let r = 50 + w. List the prime factors of r.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.1 - 0. Let f = -0.1 - h. Let s = 1725.85 + -1725.35. Which is the third smallest value? (a) s (b) f (c) -20 (d) -1\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:48 PM and 3:12 AM?\nAnswer: 324","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3 - (3 + -3) - (-7 - (-4 + -6))?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d + 3*x + 5972 = 2*d, 0 = -x + 1. Is d prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5 (base 8) to base 3\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 m and 1 r when two letters picked without replacement from {t: 7, r: 1, m: 6}.\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 6792, 5827, 4862?\n\"Answer: -965*p + 7757","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 274.80774 to the nearest ten.\nAnswer: 270","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -12 divided by -1445\nAnswer: 12\/1445","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) be the first derivative of 152*o**5\/5 - o**4\/4 - 22*o**3 + 240. Find the third derivative of p(z) wrt z.\nAnswer: 3648*z - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 78 - 146 - 3*p + 68 + 5*p.\nAnswer: 2*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11 = y - 4. Let m = y - -10. Let u = 1 + m. Solve 2*t + 14 = -u*v, 0*t = v + 3*t + 11 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 276 at most as big as 274?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = -s - 6. Let o be r(-9). Suppose o*y = 9, -i - 5*y + 4 + 14 = 0. Let c be 9 + ((-150)\/10)\/(-5). Solve 0 = -0*n + i*n - c for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = -4*z - 3*d, z + z + 10 = 5*d. Suppose -6 + z = v. Let j be (8\/v)\/(3\/(-9)). Let y(m) = -m**3 + 5*m**2 - 6*m + 3. What is y(j)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = l - 19 - 12. Suppose -l - 21 = -2*w. Let m = -13 + w. Solve 4*d + m = -3 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = w**3 - 11*w**2 - w - 8. What is g(11)?\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 2240 and 4960?\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 24\/54 - (-1356)\/108. Solve -8*b + 10 = -f*b for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 4 + -1. Suppose -3*r = -0*r - 9. Differentiate -r*t**3 - 1 + 0*t**3 + 4*t**a with respect to t.\nAnswer: 3*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = 400*m - 208*m - 204*m. What is the smallest common multiple of r(-1) and 4?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v = 3*x + x - 126, -108 = -2*v + 2*x. Let l(s) = -18*s**3 + s**2. Let o be l(-1). Calculate the greatest common divisor of o and v.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 40818 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = -4*d**2 + d + 1. Let j be y(-5). Let h be (j\/(-24))\/((-1)\/(-3)). Suppose h*q - 17*q = -200. What is the units digit of q?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = -v**3 - 7*v**2 + 2. Let z be j(-7). Suppose 2*d = z*k + 66, -4*d - 2*k + 62 = -64. Let q be 1\/(-4) - (-227208)\/d. Round q to the nearest 1000.\nAnswer: 7000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:26 PM and 4:32 PM?\nAnswer: 6","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 12\/(-14)*(-140)\/12. Solve 5*o = -f - 15 - 10, 0 = -4*f - 2*o - q for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 14772.\nAnswer: 2, 3, 1231","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 41 + 25 = 3*d. Calculate the smallest common multiple of d and 16.\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*x**2 + 2*x**2 + 3*x**2 + (0*x - x + 0*x)*(-1 + 1 - x) + 2*x**2 + x - x + 3 - 2*x**2 - 3)*(-4*x**2 + 2*x**2 + x**2) - x**4 + x**4 + x**4.\nAnswer: -x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v - 7*v + 5 = 0. Let g be v*(-2 - -2 - -3). Suppose 0 = -g*x + 14 + 58. Does 8 divide x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 69\/510286 and -29\/343.\nAnswer: 3572002","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-9 - -17 - 9) + -7.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 30944?\nAnswer: 2, 967","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.0107, 3, -1, 1, 0.7.\nAnswer: -1, 0.0107, 0.7, 1, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (8\/(-72))\/((-910)\/(-1890)).\nAnswer: -3\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = -x**3 + 11*x - 11. Let v be (-1 + -1)\/(10 - 195\/20). What is the units digit of n(v)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -15372 by 25.\nAnswer: -15372\/25","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*j = 3*o - 4547 + 4534, 3*o - 3 = 0 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l + 4*k + 11 = 0, -4*l + 6*k - k = -7. Find the second derivative of 96*i - 23779*i**4 + 46*i**l + 23778*i**4 + 39*i wrt i.\nAnswer: -12*i**2 + 276*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (0 - -3 - 4) + (0 - -4)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -2.5638 - 1.4362. What is the nearest to -0.14 in 2\/17, -2\/5, k?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.0897 - -0.1697. Which is the smallest value? (a) -0.026 (b) 1 (c) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 10191 - 31063\/3. Let g = j + 325\/2. Let b = -2\/539 + 13479\/1078. What is the common denominator of b and g?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -7.77 + -1364109.7?\nAnswer: -1364117.47","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2)\/((-4)\/24*3*-2).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18 = v + 4*i, -11*v + 7*v - 2*i - 44 = 0. Let h = -2798 - -16729\/6. Let q = v - h. Which is the nearest to 2\/3? (a) -5 (b) q (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 223343 (base 9) to base 3\nAnswer: 20210101110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 + 40*3\/24.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 1, b: 1, u: 6, q: 6, j: 5, s: 1}. What is prob of sequence qs?\nAnswer: 3\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify u**(-4\/7)*u*u**(2\/27) assuming u is positive.\nAnswer: u**(95\/189)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 + 3613410?\nAnswer: 3613406","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Divide 0 by 10.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -5 + 21\/4. Let l = 5.07 - 5. Let k = l + -0.37. What is the closest to -1\/2 in k, 2\/3, d?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -122, 0, 166 in ascending order.\nAnswer: -122, -2, 0, 166","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = -4*o**2 + o + 6. Let l(x) = x**2 - 1. Suppose -2*h = -4*h - 8, m + h = 2. Let d(g) = m*l(g) + q(g). What is the second derivative of d(s) wrt s?\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -57558*c + 57562*c - 234*c**3 + 18 - 17 to the form o*c + u*c**2 + w + i*c**3 and give w.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.1 + 0.2. Let o = -1.9 - -2. Let b = o + m. What is the closest to b in 2, -5\/2, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2*((-444)\/518 - 9*(-2)\/28).\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15895703 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 11 + -6. Suppose 5*v - 5*k - 30 = 0, 2*k + 18 = h*v + 3*k. Let y = -0.23 + 0.03. Which is the nearest to -1\/3? (a) 0 (b) v (c) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*y = -17*y + 3462. Let n be (y + (-4 - -2))\/(4\/(-750)). Round n to the nearest ten thousand.\nAnswer: -220000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 5 - 0. Round t to the nearest 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1008 + -826. Calculate the remainder when g is divided by 37.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -451 + 1666. What is the thousands digit of g?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 100 (base 2) to base 11\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a + 50 = -0*a + 4*x, 4*x = 3*a - 45. What is the remainder when a is divided by 10?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from hajhajjjhhjjijjan. What is prob of sequence aiij?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = -2*x**2 + 25*x - 45. What is the least common multiple of 36 and k(3)?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {a: 3, m: 1, x: 1, o: 5, j: 1, f: 1}. Give prob of picking 1 f, 1 a, 1 m, and 1 o.\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is (4\/24)\/((-1)\/4)?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 9873*o + 94875 + 171696 for o.\nAnswer: -27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of k*v**3*x**2 + 33*k*v**3 - 17*v**3*x**2 - 2*x**2 + 1 wrt k.\nAnswer: v**3*x**2 + 33*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x - 3*x = 2*t - 306, 2*x - 4*t = 294. Suppose x = 42*p - 143. Solve -p*v + 18*v = 55 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (10*l - 6*l + 14*l)*(-526 - 366 - 21 - 163).\nAnswer: -19368*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 4\/22248701 smaller than 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -68\/9 + 485\/63. Let m = 80.73622 + 0.17378. Let w = m + -81. Which is the nearest to -2\/7? (a) j (b) 1\/2 (c) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r + 2 = 2*u, 4*u - 4 = 3*u + r. What is the third derivative of 5*o**5 + 0*o**2 - u*o**2 - 4*o**6 - 5*o**5 wrt o?\nAnswer: -480*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -8525 - -8571.04. What is v rounded to the nearest integer?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = -3*o**3 + 47*o**2 + 40*o + 567. Calculate w(17).\nAnswer: 91","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -30 (base 13) to base 8\nAnswer: -47","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = 14*b + 2. Let g be x(2). Let a = -4 - -14. What is the greatest common factor of g and a?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = 2*k**2. Let w(f) be the second derivative of -f + 0 - 7\/2*f**2 - 1\/6*f**3. Let p(r) = 2. Let s(x) = 7*p(x) + 2*w(x). Calculate s(h(n)).\nAnswer: -4*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = -p**3 + 2*p**2. Let c be w(1). Let t(b) = 2*b. What are the prime factors of t(c)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = -n**3 + 22*n**2 + 2. Let l be x(22). Suppose 2*w - 128 = -l*w + 5*g, 0 = 2*w - g - 64. What is the highest common divisor of 224 and w?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 24 + -6. Suppose -5*g - v = -80, 3*g + 5*v = 2*g + 40. Solve -5*x - 7 = y + g, -5*x = -y + m for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:02 AM and 2:05 AM?\nAnswer: 123","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: ((-3)\/(-1))\/((-20)\/(-68)) - 239\/((-14340)\/(-720))\nAnswer: -9\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = 5*x**2 + x + 52. List the prime factors of m(-40).\nAnswer: 2, 2003","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 421395093 a multiple of 67?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 126 and 70?\nAnswer: 630","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l - 6*l = 5*p, -3*l = -3*p + 54. Let n be 4\/10*25\/l. Let j(d) = d**2 + 6*d + 5. Let g be j(-5). Which is the closest to 1\/3? (a) 0.3 (b) g (c) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.2039 + 91.9961. Is 1\/10 at least as big as z?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -4800014*j**3 + 29896945*j?\nAnswer: -28800084*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 57, 413, 1069, 2025, 3281?\n\"Answer: 150*n**2 - 94*n + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 16 (b) 0.3 (c) 8 (d) -2\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 4\/(-6) - (-32)\/3. Let x = 2 - 4. Let z = q - x. What are the prime factors of z?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence cuu when three letters picked without replacement from {u: 2, e: 1, c: 1, v: 1}.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 18663 - -82?\nAnswer: 18745","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h + 5*q - 17 = 0, -4*h + 4*q = -0*q - 8. Let l(s) = 6*s - 69. Let c be l(11). Let g = c - -7. Calculate the remainder when g is divided by h.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 26862 is divided by 128?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 < -45\/76?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 - (-20 - (-14 + 28))?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 242 - 2 = 4*x + 4*n, 204 = 4*x - 5*n. Solve 31*i - 150 = x*i for i.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5890447 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -6 divided by 1132\nAnswer: -3\/566","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 6\/5 of a millennium?\nAnswer: 14400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = -2*d**2 - 3*d + 4. Let a be o(-4). Let k = 22 + a. Does 5 divide k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from lojdojttodlttjtl. What is prob of picking 2 l?\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 356123 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = 3*q - 21. Suppose 3*i + 3*r + 2 = 17, 2*i - 3*r - 20 = 0. Let g be m(i). Is g at most 32?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-2683338)\/(-48) - 2\/(-16)) + -3. Round b to the nearest 10000.\nAnswer: 60000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 21 + -18. Which is the closest to 1? (a) p (b) -2 (c) -40\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 151 a factor of 183314?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = -d**3 + 3*d**2 + 1. Let h be x(2). Suppose 22 - 2 = -h*f. What are the prime factors of f\/(-6) + (-278)\/(-6)?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qqr when three letters picked without replacement from rqqrmrmmrrmr?\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-570)\/(-570))\/(1\/(-8)) - 74\/(-9).\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/5 of a tonne in kilograms?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 10*t**5 + 383741*t**4 - t**3 + 616634327*t.\nAnswer: 200*t**3 + 4604892*t**2 - 6*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 191 = 5*q - 3*k, -106 - 29 = -3*q - 5*k. Suppose -4*d - 40 = -100. Calculate the remainder when q is divided by d + (-2)\/(-4)*-2.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 400*y - 812*y + 404*y = 0. Which is smaller: y or -16\/943?\nAnswer: -16\/943","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(21)*2)\/(-3*sqrt(14)\/sqrt(2))*-5.\nAnswer: 10*sqrt(3)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -24433, -48946, -73553, -98260, -123073, -147998, -173041?\n\"Answer: -b**3 - 41*b**2 - 24383*b - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -81808874, -163617749, -245426624?\nAnswer: -327235499","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 7 + -4. Let k be 3\/(-2)*(-8)\/o. Suppose 2*s + f - 2*f - 8 = 0, k*f = -4*s + 28. Which is smaller: 4 or s?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine d so that -3*d**5 + 21*d**4 - 27*d**3 - 21*d**2 + 30*d = 0.\nAnswer: -1, 0, 1, 2, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h + 316 = h. Suppose -k + 17 = -h. Suppose -20*z + k = -16*z. What is the remainder when z is divided by 9?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1166203402 divided by 44853977\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 3\/(-3*(-3)\/6). Suppose -k + 31 = z - 123, -5*z + 758 = t*k. What are the prime factors of z?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = -2*o - 11*o - 4*o + 14*o. Let b(q) be the third derivative of -q**4\/8 + q**2. Give b(r(t)).\nAnswer: 9*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2711 = 82*d + 152*d + 2203 for d.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 623, 502, 309, 50, -269, -642, -1063, -1526?\n\"Answer: o**3 - 42*o**2 - 2*o + 666","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000020076128 rounded to 6 decimal places?\nAnswer: -0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put 7742, 5\/2, 132\/13 in descending order.\nAnswer: 7742, 132\/13, 5\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when ((-18)\/4)\/((-11)\/110) is divided by 23.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = -11858*x. Let i(w) = 83*w**2 - 2. Determine u(i(t)).\nAnswer: -984214*t**2 + 23716","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j + 12 = 2*j, 10 = 4*c - 2*j. What is a in -2*a**2 + 7*a**4 + 4*a**3 + 6*a**4 + 8*a**4 - c*a - 19*a**4 = 0?\nAnswer: -2, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 - 8 = -3*g. Suppose -3*r - 1006 = -g*c, -c + r - 4*r = -259. Is c prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -11859105, -11859155, -11859205, -11859255, -11859305?\n\"Answer: -50*n - 11859055","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -38.5 + 39. What is the third smallest value in -4\/9, 22, m?\nAnswer: 22","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 29531419.\nAnswer: 29531419","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m + 55 = -110. Let c = m - -52. Calculate the remainder when c is divided by 27.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -38 - -41. Let r(n) = 2*n**2 - n + 20. Let l(t) = -4*t**2 + 3*t - 40. Let f(h) = i*l(h) + 5*r(h). Let k be f(4). Is k smaller than -35?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 8, d: 3}. Give prob of picking 2 h.\nAnswer: 28\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1178205?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Determine r so that -r**2 + 128*r - 127 = 0.\nAnswer: 1, 127","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1134 - 1134. Let i(q) be the third derivative of 1\/2*q**3 + 5\/12*q**4 + c - 7*q**2 + 0*q. What is the derivative of i(b) wrt b?\nAnswer: 10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w - 1 = -x, x - 10 = 4*w - 4. Suppose 0 = 13*u + u - 56. Solve u*g = -5*l - 35, x*l + 4*g + 35 = 9 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = -v**3 + 2*v**2 + 2*v + 1. Let j be m(3). Let r = 1 - j. Let l(i) = -2*i + 0 - 3 + r. Let x(d) = 19*d. Give x(l(q)).\nAnswer: -38*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 4e + a8?\nAnswer: f6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -2, -11, -26, -47?\n\"Answer: -3*i**2 + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -1601512*w**2 + w + 14633351 wrt w?\nAnswer: -3203024*w + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -4.9321 + -0.0679. Put 0.3, 0.5, g in increasing order.\nAnswer: g, 0.3, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 570 minutes before 3:45 AM?\nAnswer: 6:15 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*r - 5*d + 32 + 20, -5*d + 43 = 2*r. Let n(u) = -r*u - 1 + 4*u + 4*u - 1. What is n(3)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-9)\/(72\/40)*(-2)\/8?\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = -i**3 - 23*i**2 + 26*i + 54. Determine b(-24).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-78)\/117*9\/(-2). Solve -3*b - 3*y - c = 0, -2*b + 10 = 3*b + 2*y for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = 2*s**3 - 6*s**2 + s + 14. Let f be z(6). Let g(a) = a**3 + 3*a**2 + 2*a + 2. Let i be g(-3). Is 1\/(i*(-1)\/f) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -360*(-79)\/76788*18\/1?\nAnswer: 20\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 36894 to the nearest integer?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -110 + 7 - (-1679 + 1704).\nAnswer: -128","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*d - 9431 = 769. What is d rounded to the nearest 100?\nAnswer: -1700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2 * -1839.703\nAnswer: 3679.406","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is one sixteenth of a century in months?\nAnswer: 75","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = -2*c**2 + c - 7. Let o(r) = 4*r**2 - 2*r + 15. Suppose p = 3 + 10. Determine p*b(h) + 6*o(h).\nAnswer: -2*h**2 + h - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 + -3 + 4 + 0 - 6?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -96 + 92. What is the remainder when 2838\/18 + ((-80)\/15)\/l is divided by 16?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*r - 4*r - 21 = 2*m, 2*r - 5*m - 3 = 0. Suppose 198 = r*d - 1431. Let o = -98 + d. Calculate the remainder when o is divided by 17.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 69704609?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -201, -202, -203?\nAnswer: -204","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-370)\/(-50) - 7)\/(2\/40). Solve -h*c = -19 - 13 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 6\/3 + (1 - 7). Let s be (8\/12)\/(c\/18). Let z(k) = 192*k - 384*k + 193*k + k**2. Determine z(s).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -41532*o**2 + 921794*o**2 + 145622*o**2 + 219920*o**2.\nAnswer: 1245804*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/2, 18, 20, 2, -2, -75 in decreasing order.\nAnswer: 20, 18, 2, 1\/2, -2, -75","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 1676 to the power of 1\/2, to the nearest integer?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k\/(k*k**7\/k))\/k**(-1\/7)*(k\/k**(3\/4))\/(k\/k**7))\/(k**(-4)\/k*((k**3*k*k)\/k)\/k*k*k*(k**(2\/9))**(-24)) assuming k is positive.\nAnswer: k**(481\/84)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = x**3 - 4*x**2 + 5*x + 2. Let t(o) = -o**2 - 8*o + 10. Let q be t(-9). Let n = q - -3. Calculate the least common multiple of y(n) and 16.\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**3\/(m\/(m**(-2\/7)*m)))**(2\/27)\/((m**0)**(-47)\/(m**(2\/9)\/m*m**1)) assuming m is positive.\nAnswer: m**(80\/189)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Work out 65835 * -226.\nAnswer: -14878710","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 2142.506 litres in millilitres?\nAnswer: 2142506","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -0.2 (b) 0.1 (c) -6.6 (d) 1.96\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in -0.4, 1\/4, -5, -56, 3, 439, -4?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -55 + 98. Let p = z + -47. Is (-2558)\/p + (-3)\/(-2) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*m + 5*m - 40. Suppose 3*f + 3*q + 4 = -17, m*q = 3*f + 7. Which is the fourth smallest value? (a) -2 (b) f (c) 4\/5 (d) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = 9*s**2 + 9842*s + 78647. Give r(-8).\nAnswer: 487","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(18) - sqrt(450))\/sqrt(6) + sqrt(3) + sqrt(3) - (sqrt(363) + sqrt(363)*-4))**2.\nAnswer: 2883","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00145819 rounded to four dps?\nAnswer: 0.0015","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Determine h so that 0 + 5\/3*h**3 - 7\/3*h + 2\/3*h**2 = 0.\nAnswer: -7\/5, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2 - t + 2 + (2 - t - 2)*(1 + 2 + 1))*(-28 - 316*t**2 + 28) + t - t + 3*t**3 to the form z*t + r*t**2 + m*t**3 + b and give m.\nAnswer: 1583","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is a - 1ec694?\nAnswer: -1ec689","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 384 divided by 2.\nAnswer: 192","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -47*y**5 + 2*y**4 + 7*y**2 + 3.\nAnswer: -2820*y**2 + 48*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -54.3291558 + 54.33. What is s rounded to three decimal places?\nAnswer: 0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g*g*g*g**(7\/3)*((g\/g**3)\/g*g)\/g)**13)**(2\/3) assuming g is positive.\nAnswer: g**(182\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.104 + 0.096. What is the fourth smallest value in -2\/3, -1, u, 1\/4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:38 PM and 9:51 PM?\nAnswer: 553","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 2802 - -879. Round k to the nearest one hundred.\nAnswer: 3700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = 23*o**3 + 564*o**2 + 6*o + 51. What are the prime factors of i(-24)?\nAnswer: 3, 2273","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 28 and 2338?\nAnswer: 4676","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + sqrt(44) + 2*sqrt(88)\/sqrt(2) + 1.\nAnswer: 2 + 6*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = -12*q**2 - 15*q + 1. Calculate f(-2).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -11 (b) 0.1 (c) -2 (d) -2\/15\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-444)\/(-30))\/(1\/5). Let o = -48 + u. What is the remainder when o is divided by 9?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 298\/(-4)*-8 + 98\/49. Let r = 618 - m. What is the lowest common multiple of r and 46?\nAnswer: 460","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1192439045?\nAnswer: 5, 7, 34069687","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1243717 (base 8) to base 12.\nAnswer: 148327","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = -k**3 - 20*k**2 - 5. Let x be f(-20). Let t = -131 + 135. Which is the fourth smallest value? (a) -2 (b) t (c) -0.5 (d) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 0.26 and -3590.6600637.\nAnswer: -3590.4000637","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 20092702 and 23226.\nAnswer: 421946742","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -7841, -7824, -7807, -7790, -7773?\n\"Answer: 17*x - 7858","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) be the first derivative of 6*v**3 + 1\/4*v**4 + 15\/2*v**2 - 2*v + 4. Calculate the remainder when 62 is divided by m(-17).\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = 27 - 10 - 9 - 4*w + 863751*w**3 - 12 + w**2. Let d be j(-2). Round d to the nearest 1000000.\nAnswer: -7000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 13624?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1297 + -1262. Sort 2, c, 5 in increasing order.\nAnswer: 2, 5, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 2\/7 + -13\/21. What is the nearest to 2 in 2\/9, 3, f?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine t, given that -t**3 + 396*t**2 - 52272*t + 2299968 = 0.\nAnswer: 132","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o - 5*q = -0*q - 16, o = -2*q + 1. Let d be 12\/o*-3 - -3. Find the first derivative of d - 7 - 7*g**2 - 1 wrt g.\nAnswer: -14*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (15\/12)\/((-4)\/1104). Let y = -342 - r. Let 6\/5*u**2 - 6\/5*u**4 + 4\/5*u + 0 - 8\/5*u**y + 4\/5*u**5 = 0. What is u?\nAnswer: -1, -1\/2, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -59*x + 420 = -12*x - 26*x for x.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -661717608, -1323435215, -1985152822, -2646870429?\n\"Answer: -661717607*h - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18*j - 1 = 3*p + 14*j, 4*j = -p + 21. Suppose 2*d = p*d + 6, 4*d = -5*u + 22. Solve -r = 5*q + u - 1, 0 = -2*r for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = 28*y + 65. Let g(i) = -4*i - 1. Let c(v) = -7*v - 2. Let r(d) = -c(d) + 2*g(d). Let j(b) = 3*n(b) + 15*r(b). Differentiate j(a) wrt a.\nAnswer: 69","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 389 = 198*i - 7. Factor 4\/9*r**i - 16\/9*r + 0.\nAnswer: 4*r*(r - 4)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve s - 2*g + 19 = 0, 936 + 946 = 2*s + 156*g for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1 + 2. Let h(k) = -k**3 - 13*k**2 - 36*k - 284. Let p be h(-12). Solve -15 = 4*a + a + 5*f, s = 5*a - p*f for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) be the first derivative of d**5\/60 + d**4\/6 + d**3\/2 - 2*d**2 + 2. Let p(z) be the second derivative of w(z). Let o be p(-4). Solve 5 + 4 = o*b for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 37 divide 1\/(-12*2\/(-27528))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 21*j = -31 + 31 for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -198, -1585, -5360, -12717, -24850?\n\"Answer: -199*s**3 + 6*s - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor 288\/5 + 10*x**2 + 336\/5*x + 2\/5*x**3.\nAnswer: 2*(x + 1)*(x + 12)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p = p - 3. Let w = 1 + 2. Sort -5, p, w.\nAnswer: -5, p, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 87809*r**4 - 326584 wrt r?\nAnswer: 351236*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is ninety-three quarters of a litre in millilitres?\nAnswer: 23250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -1\/4, -0.03, 6, -2\/9?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1337 - -13301\/10. What is the common denominator of w and (14\/25)\/(24\/30)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) be the second derivative of -b**5\/20 + 2*b**4\/3 + 5*b**3\/6 - 11*b**2\/2 - 158*b - 2. Calculate c(8).\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = 7*a**3 + 12*a**2 - 140*a - 1. Let n(m) = m**3 + 4*m**2 + m. Determine 3*n(g) - z(g).\nAnswer: -4*g**3 + 143*g + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -79890*p**4 + 2*p**2 + 175*p - 4.\nAnswer: -1917360*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -38.1532626 rounded to zero dps?\nAnswer: -38","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -31 and -0.82?\nAnswer: 25.42","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -331, -803, -1273, -1741, -2207, -2671, -3133?\n\"Answer: f**2 - 475*f + 143","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 8 - -4. Calculate the remainder when 5 is divided by (k\/18)\/(6\/27).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -3, -0.246, 0.1, -3.7?\nAnswer: -3.7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -154 = -3*i + q - 149, -2*i = q + 5 for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put -9, 4, -5, 1309, 6, 5 in decreasing order.\nAnswer: 1309, 6, 5, 4, -5, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 4\/(-3) + (-4)\/(-2). Let p = -13.01 - -13. Let m = p - -1.01. Which is greater: m or r?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 11960 and 6900.\nAnswer: 179400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w + 0*w = 6, 5*w + 23 = 2*j. Suppose -r + 0 + j = 0. What is the units digit of 1\/r + (-22)\/(-8)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 186598?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -875 + 1729 - 854 + 95*c.\nAnswer: 95*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -99 = 2*r - 43 - 46, 6*b - b - r = 30 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f + 15 = 12. Is f > 2\/49?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0.0979 or 92.8?\nAnswer: 0.0979","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 999 - 3822?\nAnswer: -2934","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -7.9 or 0.36383?\nAnswer: 0.36383","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 467 minutes before 12:06 PM?\nAnswer: 4:19 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 834, 2, 18, 5 in descending order.\nAnswer: 834, 18, 5, 2, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 36581?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 4749017 to the nearest integer?\nAnswer: 168","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = 30*h**3 + 26*h**2 - 11999*h + 39. Let o(y) = -14*y**3 - 12*y**2 + 6000*y - 18. Calculate -6*f(i) - 13*o(i).\nAnswer: 2*i**3 - 6006*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13*g - 49 = 5*y + 15, 3*y - 242 = -g - 294 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Product of 528238 and 18.\nAnswer: 9508284","meta":{"dup_signals":{},"source":"arithmetic__mul_test"},"subset":"dm_maths"} +{"text":"Question: Factor 2*m**2 - 20*m\/7 - 66\/7.\nAnswer: 2*(m - 3)*(7*m + 11)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) be the second derivative of 93*j**5\/20 + j**4\/12 - 2*j. Let k be v(1). Suppose 54 + 8 = 3*f - 2*i, i = 5*f - k. Is f a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 13.1 and 13.\nAnswer: 170.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 23*t - 31*t + 293936. Is t a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 9935 by 2.\nAnswer: 9935\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 123 minutes after 8:25 AM?\nAnswer: 10:28 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: ((-3)\/(-4))\/(-1 + (-10)\/(-4))\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -32684597 + 9384597. What is i rounded to the nearest 1000000?\nAnswer: -23000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence aa when two letters picked without replacement from naadavadaaad?\nAnswer: 7\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -45811000 rounded to the nearest one hundred thousand?\nAnswer: -45800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 143700 and 167650?\nAnswer: 1005900","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = -3*j**2 + 19*j + 21. Let g(q) = 5*q**2 - 28*q - 32. Let i(d) = -5*g(d) - 8*x(d). What is i(-6)?\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -150 in -2\/7, 1\/3, 1?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -6 + -2. What is the units digit of z\/3*(-6)\/4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = -x**2 + 7*x + 4. Let l(g) = -299370 + 2*g + 299370. Calculate -6*l(i) + 2*v(i).\nAnswer: -2*i**2 + 2*i + 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 25 + 3. What is the remainder when 79 is divided by z?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = -x**3 + 17*x**2 + 18*x + 6. Let m be r(18). Suppose -16 - 17 = -11*u. What is the greatest common factor of m and u?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q - 5*q + 12 = 0. Let k(n) = n**q + 2*n**2 - n**2 - 2 + 0 + 2*n. Let v(z) = -z**3 - 2*z**2 - 3*z + 3. Let t(w) = 4*k(w) + 3*v(w). Calculate t(2).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from mxxvmvxmqxmmmqmqmmx. What is prob of sequence vqqv?\nAnswer: 1\/7752","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -272392490*q**2 - 19*q - 3188089 wrt q.\nAnswer: -544784980","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh smallest value in -1.6, 188.5, 1, 0.4, 0, 3, 2?\nAnswer: 188.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 269, 778, 3, 2\/13, 5?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -4, 4, 18\/11, -2\/13, 1\/10, 2\/5?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-5 - -14) + -183)\/((-4)\/(-1154)). Let m = r - -92299. What is m rounded to the nearest 1000?\nAnswer: 42000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -500*m**5 + 1044*m**5 + 757*m + 231*m**5 wrt m.\nAnswer: 15500*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -7, 5, -1\/14, -0.4?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 11.5 or 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 27\/140 - -2\/35. What is the third biggest value in y, 0.09, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -767304 divided by 36.\nAnswer: -21314","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 49 = 3*r + 58 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 99 and 297?\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in fifty-nine fifths of a milligram?\nAnswer: 11800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ez when two letters picked without replacement from ddzdcdce?\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*i - 3*i - 2 = 0 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -27 - -21880?\nAnswer: 21854","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = x**2 - 9*x + 23. Let s be v(6). Suppose -s*l - 5*l + 9030 = 0. List the prime factors of l.\nAnswer: 3, 7, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(17) + (sqrt(1088) - (sqrt(1088) + 0) - sqrt(17)))**2 - (4*(sqrt(17) + sqrt(833)) - sqrt(17)).\nAnswer: -31*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-2)\/(-6) - (-8)\/3. Let l = -366 + 369. Suppose -l = -n*k + 2*k. What is the smallest common multiple of 7 and k?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 53\/189588 and -5\/103212.\nAnswer: 26731908","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 2 (base 7) to base 11\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) be the third derivative of -5*d**4\/24 - d**3\/3 - 86*d**2. Suppose -2*c - 9 - 5 = 0. Let y(f) = -15*f - 7. Give c*k(o) + 2*y(o).\nAnswer: 5*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -173*z = -5*z + 85*z - 4048 for z.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = -k**2 - 3*k + 4. Let n be b(-4). Suppose -5*j = -o - 37, 3*j + n*j - 27 = -o. Is j a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = j**2 + 2*j + 1. Let s(d) = -10*d**3 - 2*d**2 + 3*d - 5. Let r(c) = -4*n(c) - s(c). Is r(10) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is j in -3*j**5\/2 + 315*j**4\/2 + 1623*j**3\/2 + 2949*j**2\/2 + 1152*j + 330 = 0?\nAnswer: -2, -1, 110","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (w**3 + 3*w**3 - 3*w**3 - w)*(397 - 53*w - 397).\nAnswer: -53*w**4 + 53*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-6)\/4 + (-2)\/47 + 1334326\/492513?\nAnswer: 7\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 3179, 6716, 10251, 13784, 17315?\n\"Answer: -k**2 + 3540*k - 360","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 424.05 + 5.95. Let q = z - 427.97. Round q to one decimal place.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from kckkkockbkbkckjc. Give prob of sequence occ.\nAnswer: 1\/280","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*x**2 + 634845*x - 2539428.\nAnswer: 3*(x - 4)*(x + 211619)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000035136 to 6 decimal places.\nAnswer: -0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -124*y + 123*y - 3 + 1.\nAnswer: -y - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -294*w + 2594 = 1712 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -15 + 1421554023?\nAnswer: 1421554004","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 23*o - 1 = 22*o for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 0 + m - 1)*(6*m**3 + 4*m**3 + 0*m**3).\nAnswer: 10*m**4 - 10*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1.67 + 1.27. Let h(v) = -v - 8. Let u be h(0). Let q be (u - -5)\/(54\/4). What is the nearest to 2\/9 in r, -4, q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 4.7 + -5. Let w = c + 0.8. Sort 2\/3, w, 0.4 in ascending order.\nAnswer: 0.4, w, 2\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*p**3 - 15*p**2 + 20.\nAnswer: -5*(p - 1)*(p + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: (10\/4)\/(14\/28) - 5\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s = 2*h - 7 - 3, 2*s = 5*h + 31. Let d be (s + -5)*(-3)\/6*-2. Factor -x + 2*x**d + 0*x**3 + 1 - x**4 - x + 0.\nAnswer: -(x - 1)**3*(x + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x = 13881 + 25429. What is the tens digit of x?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = 4*w + 2*v, -v = -6 + 10. Suppose w = 2*q - 4*y - 5262, -4*q + 5*y = -q - 7893. Is q a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = -676*f + 4061. Let s be v(6). Suppose -5*y - 15 = 5*d, -2*y - y + d + 11 = 0. Let m = -0.2 + 0.22. Sort y, -0.1, m, s in ascending order.\nAnswer: -0.1, m, y, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-248)\/(-1085))\/((-12)\/(-15)). Put 0.5, 2\/59, g in descending order.\nAnswer: 0.5, g, 2\/59","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*r - 266 = -266. Solve 0 = 3*z + 2*f + 14, 4*z - f + 4 + 0 = r for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + sqrt(2057) + 0 + 3)**2.\nAnswer: 176*sqrt(17) + 2121","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 3576.4252 - 0.4252. Let u = m - 3576.0002571. What is u rounded to 5 decimal places?\nAnswer: -0.00026","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand m + 0*m - 2*m**2 + 3*m**2 + (3*m**2 - 2*m**2 - 2*m**2)*(-1 + 0 + 3) + 1678*m**2 + 1541*m**2 - 3756*m**2.\nAnswer: -538*m**2 + m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 2\/(8\/12)*-4. List the prime factors of 1*3 - (u + -18).\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v**(-2\/15))**(-21))**(-12) assuming v is positive.\nAnswer: v**(-168\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 751335.5 minutes?\nAnswer: 45080130","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -75 - -973\/13. What is the closest to c in -1\/2, 0.09, -5, -3?\nAnswer: 0.09","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine k, given that 311*k**3 + 5597*k**2 + 9934*k - 32 = 0.\nAnswer: -16, -2, 1\/311","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-17)\/153*-12)\/((-2314)\/39).\nAnswer: -2\/89","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k - 1 - 5 = 0. What is the closest to -1\/4 in k, 4, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -383*n + 1122*n - 383*n - 379*n.\nAnswer: -23*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 375069 and 5006655.\nAnswer: 3441","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 51 - 50.8. Are v and 0.9 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = -1. Let t(k) = k**3 - 5*k**2 + 17*k - 64. Let y be t(4). Let n(c) = 2*c**2 - 3. What is y*b(s) + 4*n(s)?\nAnswer: 8*s**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*f + 3*f - 405. Suppose -573 + f = -4*s. Let g = s + -44. Is g a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) be the second derivative of -b**6\/360 + b**5\/24 + 7*b**4\/24 - 4*b**3\/3 - 4*b. Let a(g) be the second derivative of k(g). Determine a(5).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-25)\/10*(-3 + (-69)\/(-15)).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 1 + -1525?\nAnswer: -1524","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2520\/(-48)*60\/(-9)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1969, 7735, 17297, 30649, 47785, 68699, 93385, 121837?\nAnswer: 154049","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2129 is divided by 119.\nAnswer: 106","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = -p**3 - 9*p**2 - 5*p. Determine l(-8).\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 3, q: 2, n: 1, d: 1}. Give prob of picking 1 n and 1 z.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) be the third derivative of -c**5\/60 + 5*c**4\/12 + c**3\/2 + 5*c**2. Let s be l(7). Let d = -16 + s. List the prime factors of d.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.2 - 0.3. Let m = 14.5 - 12. Let s = m + -0.5. What is the second smallest value in 0.5, s, w?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 2, 28, 36561 in decreasing order.\nAnswer: 36561, 28, 4, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) be the first derivative of -t**5\/10 + t**4\/6 + t**3\/3 - t**2 - 6. Let n(k) be the second derivative of j(k). Suppose n(w) = 0. Calculate w.\nAnswer: -1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4269 to the power of 1\/5, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 96729405 to the power of 1\/2, to the nearest integer?\nAnswer: 9835","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 543 minutes after 8:46 PM?\nAnswer: 5:49 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 14 - ((-3648)\/18)\/(-16). Which is the closest to 2\/11? (a) 2 (b) 1\/2 (c) -0.2 (d) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 279473813 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: Suppose 0 = 2*a - 3*a + 14. Suppose -3*u + 60 = 5*z, -z - 78 = 2*u - 5*u. What is the remainder when u is divided by a?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 10404506?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-166)\/(-3))\/((-14)\/(-21)). Suppose -s + a = w - 101, 0 = -2*s - 3*w + 373. Is s composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1014 - 949. What is the remainder when 105 is divided by n?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -18196*x - 35 - 27 + 1577*x + 62 in the form i + n*x and give n.\nAnswer: -16619","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort 14, -27, -3, -5 in descending order.\nAnswer: 14, -3, -5, -27","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*i + 6 = 0, 2*i + 8 = -125*u + 129*u for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 2272321 to the power of 1\/10, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = n**2 + 4*n - 5. Let r be l(-5). Suppose -10 = -2*i - r. Solve 2*w - 5*p - 9 = -39, i*p - 45 = 5*w for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(1536) + sqrt(6))*2*-3)\/((sqrt(750)*3 + sqrt(30))\/(-1*sqrt(40))).\nAnswer: 51*sqrt(2)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -66*r + 351 - 219 = 0. Solve 0 = 4*o - r*j + 8 - 2, 4*o + 7 = j for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 2\/(-4) - 4\/(-8). Let v be 9\/(-3) + s + -2. Let l be (-5)\/v - (-6)\/(-10). Which is smaller: -1.2 or l?\nAnswer: -1.2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -203*o - 4 = -201*o for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 6 + 21. Let d(i) = i**2 - 2*i. Let y be d(2). Suppose c + 2 - 17 = y. Calculate the remainder when s is divided by c.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 0, 1 in ascending order.\nAnswer: -3, 0, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 283587 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1601077?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 z and 1 e when three letters picked without replacement from {i: 4, w: 6, d: 2, e: 1, k: 3, z: 3}?\nAnswer: 1\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 57*h**2 + 41*h**3 - 22*h**2 - 110*h**3 - 12*h**2 - 23*h**2 + 81*h**3.\nAnswer: 12*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round 6460 to the nearest 1000.\nAnswer: 6000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -99124852 + 99124852 + 12*i.\nAnswer: 12*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:26 PM and 6:38 AM?\nAnswer: 672","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0.09966 (b) 5 (c) 114\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Work out -318027810 - -3814.\nAnswer: -318023996","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 414, 415, 390, 327, 214, 39?\n\"Answer: -2*w**3 - w**2 + 18*w + 399","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 565 = 3*v + 5*n, -2*v + 5*v - 5*n = 545. Suppose 4*l - v = 3*l. Is l a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 3\/50 of a litre?\nAnswer: 60","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify p**(2\/43)*p**(1\/3)\/p*p**(-11)*p*p**3 assuming p is positive.\nAnswer: p**(-983\/129)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g - 29503991 = -q, -307*q + 36 = -311*q. What is g rounded to the nearest one million?\nAnswer: -6000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = -h**2 + h - 14. Suppose -3*k - 20 = -4*i, -3*k + 3*i = -4*k + 15. Suppose q + 0*q = k. Suppose q = -2*w - 7*l + 3*l, -5*l = 2*w. What is x(w)?\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = 108*j - 768. What is p(7)?\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand 85*t**4 + t**5 - 85*t**4 + 0*t**5 + t**5 + 1 + 0 + (0*t**4 - 2*t**4 + 0*t**4)*(0*t + 2*t - 3*t) + 3*t**5 - 4*t**5 + 2*t**5 - 2*t**5 - t**5 + t**5.\nAnswer: 3*t**5 + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = -6*o**3 + 4*o**2 + 2*o. Let v be z(-1). Suppose -2*y = -v*y + 24. Solve 5*r - t = 16, -y*r = -3*t - 6 - 9 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {l: 1, k: 2, h: 2, c: 1}. Give prob of sequence cklh.\nAnswer: 1\/90","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = h**2 + 7*h + 4. Let w be n(-6). Suppose 0 = 3*c + 4*c - 21. Let k be 6\/c + (-4)\/w. Solve l = 1, -k*d + 3*d - 5*l + 5 = 0 for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -10 + 116. Let w = 103 - r. Let g = 0.5 + -1. Which is the nearest to -1? (a) 3 (b) w (c) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -27479 * 0.026.\nAnswer: -714.454","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z + m - 209 = -7*z, 0 = 4*m + 4. List the prime factors of z.\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -2 - -2. Let r = 1.7 - -6.3. Let q = r - 8.1. Is f equal to q?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = -l + 8. Let q be x(6). Let u be 5\/q*(-4)\/(-5). Let o(c) = c**2 + 6*c - 1. Let a be o(-6). Put 3, a, u in descending order.\nAnswer: 3, u, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v + 97 = 3*q, -4*q - q = -v - 150. What are the prime factors of q?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*z + 45 = -915. What is the units digit of z?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = 0*x**2 + x**2 - 2*x**2. Let q(d) = -4*d - 5. Let v(h) = 2*h + 2. Let r(y) = 2*q(y) + 5*v(y). Calculate r(t(u)).\nAnswer: -2*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p*p**15)**(-2\/3)*p**34\/p*p\/((p**(-3\/7)\/p)\/p)*p*p*p assuming p is positive.\nAnswer: p**(604\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*x = -v - 1, 2*x + 2*v - 163 + 165 = 0 for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 1, z: 1, b: 1, l: 1, i: 1}. Give prob of sequence zb.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:03 AM and 5:27 AM?\nAnswer: 204","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -4818 divided by 803\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 0.1 (b) 1 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -0.3 (b) 0.1 (c) -4 (d) -50 (e) 2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -3 + 5. Let n = -0.20013 + -13.79987. Which is the nearest to n? (a) v (b) -2 (c) -3\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 1 + 4\/(-1) - 1. Let t = 10 + -7. Suppose t = 3*o + 12. Put -1, v, o in decreasing order.\nAnswer: -1, o, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -18\/7 (b) -1\/5 (c) 0.4 (d) 3\/2 (e) -0.09\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ufzfuzuuzzfufuzzuff. Give prob of picking 1 f and 3 z.\nAnswer: 10\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*o = -4*y + 11, 68 = -4*o + 94*y - 78*y for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does 215 divide 608646?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + -5 + sqrt(539) + -1)**2.\nAnswer: -98*sqrt(11) + 588","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 147*i - 294*i + 3*b = -143*i + 1, -2*b = i + 3 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 350*p + 361*p - 799*p + 9*p**2 + 88*p.\nAnswer: 9*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2000210096 to the nearest integer?\nAnswer: 44724","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -1 - (-1325)\/45 - 56\/126. Calculate the highest common divisor of r and 1100.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 7 - 0. Suppose -a*m + 5 = -6*m. What is the third smallest value in m, -2\/5, -4?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1286 - 12*z**2 - 1289 + 0*z - z)*(1 - 1 - 1)*(3 - 1 - 7).\nAnswer: -60*z**2 - 5*z - 15","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -105 + 106. Let b(x) = -10*x**3 + 2*x**2 - 1. Give b(a).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand m**3 + 4 - 4 + (6 - 6 - 5*m)*(-m**2 - 3*m**2 + 5*m**2) + 0*m**3 + 2*m**3 - m + 0*m.\nAnswer: -2*m**3 - m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 13189, 26362, 39535, 52708, 65881, 79054?\n\"Answer: 13173*f + 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 1301, 1316, 1331, 1346, 1361?\n\"Answer: 15*j + 1286","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (-37296)\/(-14504)*49\/9?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s - s = 5*t + 317, -327 = 3*s + 3*t. Let n = -37 - s. Is n a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = -z**3 + 6*z**2 - 34*z + 289. Let f be w(7). Suppose 0 = -j + 2*j, -o + 3*j - 19 = 0. Put o, f, -4 in descending order.\nAnswer: f, -4, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -75.6*-5\nAnswer: 378","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(-1\/4)*x)**(-8) assuming x is positive.\nAnswer: x**(-6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 227*c - 230*c + 47 = 2*u + 5, 2*c - 28 = 0. What is y in -4*y**3 + 13\/6*y**2 + 3\/2*y**4 - 1\/3*y + u = 0?\nAnswer: 0, 1\/3, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(11) + ((sqrt(99)*2)\/sqrt(9) + sqrt(11))**2 + 2*sqrt(11)*6 + (-1 + 2 + sqrt(11))*-6.\nAnswer: 7*sqrt(11) + 93","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(1216)*-1 + 2 - (5 + ((sqrt(1216) - (sqrt(1216) + 2 + sqrt(1216))) + sqrt(1216) - sqrt(1216)) + sqrt(1216)))*-6)**2.\nAnswer: 576*sqrt(19) + 43812","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand 12*v**2 + 11*v**2 + 2*v**2 - 9*v**2 + 4*v - 2*v**2 - 4*v + (-20*v + 21*v - 13*v)*(2*v + 0*v - 3*v).\nAnswer: 26*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -42 + 105 = -9*i for i.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in 0.3, 1, -9?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 131182, 524710, 1180584, 2098804, 3279370?\nAnswer: 4722282","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -18376 divided by -2297\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = k**2. Let n(c) = -c**3 + c**2 - 2*c. Let u be (-1)\/(-6) - 70\/60. Let m be (2 - 3)\/(656\/220 + -3). Let d = -54 + m. What is d*f(b) + u*n(b)?\nAnswer: b**3 + 2*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 39156, 78289, 117430, 156579, 195736?\nAnswer: 234901","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) be the third derivative of d**5\/40 + 103*d**4\/16 - 26*d**3 - 909*d**2 - 2*d. Factor j(l).\nAnswer: 3*(l - 1)*(l + 104)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(2 + -4*sqrt(1300) + sqrt(1300)).\nAnswer: -2 + 30*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c**5 + 43*c**4 + 576*c**3 + 2828*c**2 + 3680*c = 0. What is c?\nAnswer: -23, -10, -8, -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -43\/35 and 87\/241000060?\nAnswer: 241000060","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 1\/4 of a day?\nAnswer: 6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*c - 41 = -11*d + 13*d, -4*d - 37 = 5*c. Sort c, -8, 158.\nAnswer: -8, c, 158","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 418867 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 414550 is divided by 2920?\nAnswer: 2830","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -10 + 10. Suppose -r - x + 4 = -p*x, 4*r + 16 = 4*x. Let c(d) = -2*d**3 - d**2 + 2*d - 3. Let q be c(-2). Solve -y + q*y = r for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00174263603 to five dps.\nAnswer: -0.00174","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p + 3036 = 4*w, -53*p + 49*p = -5*w - 6150. Is p a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 9 and ((-348)\/(-145))\/(4\/15)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3695581?\nAnswer: 3695581","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*c + 101 = 109 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2\/6316985 or 1?\nAnswer: 2\/6316985","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) be the second derivative of -v**5\/15 + v**3\/3 + 2*v**2 + 2*v. Let t(p) be the first derivative of b(p). What is the derivative of t(h) wrt h?\nAnswer: -8*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 74*g = 76*g. Suppose g = -10*y + 8*y + 1324. What is the hundreds digit of y?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r + 2*s - 106 = 0, 2*r - 17 = 4*s + 27. What is a in -4*a**2 - 15*a - 64 - r*a - 21*a = 0?\nAnswer: -16, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = -5 - 18*i + 58*i - 17 + 20. Let m(a) = -2*a. Calculate g(m(n)).\nAnswer: -80*n - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = w**3 - 9*w**2 + 18*w - 7. Let j be n(7). Suppose j*t + 4 = 23*t. Which is the closest to 2\/9? (a) 1 (b) t (c) 8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -34 = -4*t - 26. Calculate the smallest common multiple of 4 and t.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 55 - 5*y**2 - 81 - 2*y**4 + 4*y**4 to x*y**2 + u*y + n + t*y**4 + p*y**3 and give n.\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 5, 15, 27, 41, 57, 75, 95?\nAnswer: 117","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 2306332 and 69286?\nAnswer: 686","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d - 4 = 3*y - 1, -3*d + 4*y = -4. Suppose d = 2*o + 2*a - 2, o - 2 = -3*a - 3. Let m be 0 - o - (-9)\/3. Which is greater: 3\/2 or m?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 156628 is divided by 319.\nAnswer: 318","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-7)\/3 + 8\/24. Find the common denominator of ((-490)\/25)\/z*1 and 14\/23.\nAnswer: 115","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 135, 134, 133, 132?\nAnswer: 131","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 57 divide 6024?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1041 and 3.\nAnswer: 1041","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -4 - 1b129?\nAnswer: -1b12d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p + 7 = -1. Suppose 0 = -p*s + 2*s + 48. Is 12 a factor of s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 64726613 is divided by 173.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 5 + 6*(3 + -4). Let g = -439 - -598. Which is smaller: g or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*v**5 + 6*v**4 - 4*v**3 - 24*v**2 - 16*v.\nAnswer: 2*v*(v - 2)*(v + 1)*(v + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -12497, -49994, -112489, -199982, -312473, -449962?\n\"Answer: -12499*r**2 + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (40\/340)\/(4\/40*-5).\nAnswer: -4\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*d + 41 = 4*n, -25 = -5*d - 0*d + 2*n for d.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 297867?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*m = -q, m = 7*q - 2*q for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = -5*t + t + 6*t - 6. What are the prime factors of i(7)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-8*b**2 + 116 - 116)*(14*b + 18*b**2 - 14*b) + 2*b**4 + 2*b - 2*b.\nAnswer: -142*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k + 0 = 6, -4*k - 4 = 2*f. Let r(s) = f + 4*s**2 - 1 - 2. What are the prime factors of r(-1)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4 + 994*q + 16*q**2 - 529*q - 465*q - 4.\nAnswer: 16*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1143 - 1230.1. Let x = 149 - 63. Let z = x + l. Round z to 1 decimal place.\nAnswer: -1.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from srssrssssrr. What is prob of picking 2 r?\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 390 and 2355?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.0708, 5, 105, 3, 4\/7 in descending order.\nAnswer: 105, 5, 3, 4\/7, 0.0708","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 34 - 10922?\nAnswer: -108dd","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -15 - -22. Suppose 12*h = m*h + 230. Is h a multiple of 23?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*v**3\/5 - 9*v**2\/5 + 939*v\/5 - 819.\nAnswer: -3*(v - 13)*(v - 5)*(v + 21)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-36)\/15*(-175)\/(-70).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6401 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 at least as big as 4\/4970517?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 303 minutes before 4:04 AM?\nAnswer: 11:01 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Work out 4 * -1.791469.\nAnswer: -7.165876","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify k**6*k**(-3\/2)*k*k*k**(2\/13)*k*k\/(k*k\/k**(-4))*k assuming k is positive.\nAnswer: k**(95\/26)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h + 3 = -3*f, -4*h - 17 = -5. Let s be (66\/(-9))\/(f\/9). Suppose -13*l = -s*l. Which is smaller: l or 2\/31?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 81500597 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3\/248 in -1, -4\/9, 2\/19, 0.053?\nAnswer: 0.053","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 8 (b) 5\/2 (c) 384.71 (d) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 0.06, -10, 39229, 1, -1\/4?\nAnswer: 39229","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t + x + 15 + 14 = 0, -t + 3 = -2*x. What is the units digit of t?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(7) - sqrt(343)) + -5 - sqrt(252)*1) + 3.\nAnswer: -12*sqrt(7) - 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = g**2 - 7*g - 87. Let y(v) = -2*v - 29. What is -2*j(k) + 7*y(k)?\nAnswer: -2*k**2 - 29","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 938\/9 + -104. Let w = -0.5 - 0.1. Let v = w - 4.4. Put -1\/4, x, v in increasing order.\nAnswer: v, -1\/4, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/10 of a millennium in months?\nAnswer: 3600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = 55*v - 172. Give y(3).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 - 12 = -n - 2*r, 0 = -3*r + 15. Let g(u) = 4*u + 128. Let l(y) = 4*y - 95. Let k be l(16). Let z be g(k). Is z less than or equal to n?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 66090913 a multiple of 29?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = 132*v**2 - 5*v - 3. Let w be u(-4). Suppose -5*k + 4*d + w = 0, 0*d = -5*k - 2*d + 2153. Suppose k = 6*z - 777. Is z a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -267839, -267800, -267761?\n\"Answer: 39*u - 267878","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*w - 47*w - 84*w + 4525160 = 0. Is 30 a factor of w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (2 - (0 - (-161)\/(-5 - -12))) + 4. Let j = 4 + -3.7. What is the third biggest value in j, a, -2\/15?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-4)\/(-20))\/((-30256)\/(-2015) - 15)\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -31341, -26959, -22577, -18195?\nAnswer: -13813","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x + 3 + 12 = 0. Suppose -3*q - 2*g - 45 = -133, 0 = g + 1. Let k = x + q. Does 27 divide k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 15 + -5. Let y(i) = -7*i**2 + 0 - a + 0*i**2 - 2*i - i**3. Let s be y(-7). Solve 3*o + 24 = 4*o - 5*k, -s*o - k = 9 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20 = 36*s - 40*s for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = -x**3 + 6*x**2 + 3*x + 7. Let k be h(6). Let g be 20\/6*30\/k. Suppose s + 22 = q - 3*s, g*q - 121 = 5*s. List the prime factors of q.\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3320 (base 7) to base 10.\nAnswer: -1190","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 250074266 - 1?\nAnswer: 250074265","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*h - 4*b + 9, 0 = -4*h + 4*b - 98 + 82 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3496905.\nAnswer: 3, 5, 25903","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3107 + 3115 + (-1 + -1 - 51 - (3 + -3)).\nAnswer: -45","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -72, -621, -2118, -5037, -9852, -17037, -27066, -40413?\nAnswer: -57552","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 57*w - 1805 = -2546 for w.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(-3 + -5 + (sqrt(396) - (-1 + sqrt(396))) + 2 + 4))**2.\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 189 is divided by 40.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = -j**3 + 5*j**2 + 2. Determine m(4).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 27*v - 34*v - 7 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -10429 + 54540. Is k composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1339\/76 or -17?\nAnswer: -17","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Total of -66 and -63649263857.\nAnswer: -63649263923","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (39\/195)\/((-176)\/41360).\nAnswer: -47","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -18200638 divided by 443918.\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.5539682, 0.3, -0.5 in decreasing order.\nAnswer: 0.3, -0.5, -0.5539682","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -2243, -4471, -6697, -8927, -11167?\n\"Answer: -d**3 + 7*d**2 - 2242*d - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -11 (b) 2 (c) -5\/6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = 2*z**2 + 71*z + 494. Determine m(-26).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 2535387 bigger than 5070773\/2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve j = -7*j - 8 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 150 and 165?\nAnswer: 1650","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 15547, 26933, 38331, 49747, 61187?\n\"Answer: h**3 + 11379*h + 4167","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000075111 rounded to 7 dps?\nAnswer: -0.0000075","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -3662 - -589584\/161. Which is greater: w or -1?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 20084929?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -141, -229, -383, -609, -913, -1301, -1779, -2353?\nAnswer: -3029","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 354202361*c**4 - 375820147 with respect to c.\nAnswer: 1416809444*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = 4*a + 2. Let o be l(0). Suppose -10 + 3 = -4*d - k, 2*d + 4 = o*k. Let b(h) = 6*h**2 - h. Calculate b(d).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (((-32)\/(-30))\/(-2))\/(((-432)\/270)\/(-4)). Sort 9, u, 0.1, 2\/5, 3\/5 in ascending order.\nAnswer: u, 0.1, 2\/5, 3\/5, 9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 15444 and 625339.\nAnswer: 143","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 2767855423 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 32505045 + -5?\nAnswer: 32505040","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) be the second derivative of 5*y**7\/42 - 5*y**6\/6 + 7*y**5\/4 - 5*y**4\/4 - 6*y. Find i, given that t(i) = 0.\nAnswer: 0, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2101 (base 3) to base 5.\nAnswer: 224","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 894555182?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let -22*b**2\/15 - 192*b\/5 - 104\/15 = 0. Calculate b.\nAnswer: -26, -2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 10 and 0.057?\nAnswer: 9.943","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*c - 52*s = -55*s + 74, 5*c + 2*s - 110 = -39 for c.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 170681 is divided by 2116.\nAnswer: 1401","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = 1233*h + 50. What are the prime factors of f(3)?\nAnswer: 23, 163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 95\/7440448 and -87\/5115308.\nAnswer: 81844928","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*t = 3*k - 4*t - 16, 5*k - 72 = 3*t. Let q(f) = -f**2 + 9*f + 34. Let v be q(k). Put v, 1, 2 in increasing order.\nAnswer: v, 1, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 86 a factor of 2246?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 131*q + 873 + 887 = -221*q for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 2, n: 4}. Give prob of picking 1 n and 1 f.\nAnswer: 8\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 1, k: 3, c: 1, y: 3, n: 6, u: 5}. Give prob of sequence yk.\nAnswer: 1\/38","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 296 = -6*i + 28*i + 15*i for i.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is d20 + -6?\nAnswer: d19","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 22 and 446.\nAnswer: 4906","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express -7*m - 2107 + 7*m - 4*m + 2941 as f*m + s and give s.\nAnswer: 834","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_test"},"subset":"dm_maths"} +{"text":"Question: 4580\/(-687)*(-3)\/(-4)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s = 5*t + 46, -2*s + 7 = t - 2. Let f = 4 - 2. Let p = -13 + 38. Solve f*c - s*c = p for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 77.88687 nanograms in micrograms?\nAnswer: 0.07788687","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = 2*u**3 - 5*u - 1. Let g(z) = -4*z**3 + z**2 + 5*z + 2031. What is g(h) + m(h)?\nAnswer: -2*h**3 + h**2 + 2030","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 547867?\nAnswer: 653, 839","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) be the second derivative of -4*u**3\/3 + u. Let y(x) be the first derivative of 0*x**2 + 218 + 0*x - 2\/3*x**3. What is y(k(v))?\nAnswer: -128*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 68 - 68. Suppose 5*g + 2 - 4 = 2*f, 0 = 3*g - f - 2. Let a be g\/5 - 2\/5. Solve z*p - 16 = -4*p, -4*k + 3*p - 20 = a for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (8 - 16 - 4 - 4)*(181*j**2 - 181*j**2 + 9*j**3).\nAnswer: -144*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) be the first derivative of -2*a**5\/45 - 10*a**4\/9 - 22*a**3\/3 - 88*a**2\/9 + 416*a\/9 - 10806. Let x(g) = 0. What is g?\nAnswer: -13, -4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -144 = -2*k - 19*k - 27*k. Let u = -27 + 92. Let o = u - 32. What is the highest common divisor of k and o?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -2 + (1*-4)\/(-1). Suppose -974 = -t*z - 0*z. Is z a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p = -3*p + 3*p. Suppose 4*d = -3*b - 14, -3*b + p*b - 5*d = 19. Solve 11 = b*m + w, -5*m - 2*w = w - 30 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -18 + -3 - (25 - 39).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 468.9865733 rounded to two decimal places?\nAnswer: 468.99","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 32076 and 11682?\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = 7*u**2 - 9*u - 11. Is r(-7) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5356627 to the power of 1\/9, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*b = -7*b. Suppose 2*m - 52 - 32 = b. What is the remainder when 207 is divided by m?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 21 = 7*q - 7 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 14547.\nAnswer: 3, 13, 373","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5349568 is divided by 1026.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) 0.2 (b) 3 (c) -4672 (d) 2 (e) -0.02 (f) -70\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 19 + -15. Suppose w*q - 172 = 4*l, -3*q + 6*l - 2*l = -133. Suppose 4*k + q = 5*k. What are the prime factors of k?\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 314220 > 314289?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-30)\/(-21))\/((-66)\/231).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = -659*c + 1339*c - 691*c + 12. Give j(5).\nAnswer: -43","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 8\/23 + -732\/253. Calculate the common denominator of g and 71\/20.\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-8*q - 11*q - 6*q)*(-1 + 3 - 3).\nAnswer: 25*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -16, -3, 2\/197, 1?\nAnswer: -16","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2041125 is divided by 4437?\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 + g - 3)*(-g**4 - g**4 + 4*g**4) + (-3*g**2 - 3*g**2 + 4*g**2)*(0*g**3 - g**3 - 10*g**3) + g**5 - 4*g**5 + 4*g**5 + (-2 + g**4 + 2)*(0*g + g + 0*g).\nAnswer: 26*g**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1.48 - 1.652. Let z = f - 0.328. Put 2, z, 0.27 in increasing order.\nAnswer: z, 0.27, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-34)\/(-85))\/((-2)\/(-5)). Which is greater: w or -15?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -92604 divided by 2.\nAnswer: -46302","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) be the third derivative of -y**9\/252 - 2*y**7\/7 - y**5\/60 - 17*y**3\/2 + 4*y**2 - 9. Find the third derivative of j(z) wrt z.\nAnswer: -240*z**3 - 1440*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v + 6*v + 2*t = 8, 4*v - t - 2 = 0. Let c be 2 + 112\/52 - 2 - 2. Let s(r) = r + 4. Let o be s(-4). What is the nearest to o in v, 0.1, c?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*z**2 + 78 - 78 - 4*z**2.\nAnswer: -2*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.3 - 7.7. Let f = -7.7 - c. Sort 0.5, -3\/7, f.\nAnswer: -3\/7, f, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b*(b**5*b*b)\/b*b*b**7*((b\/(b**(2\/7)\/b))\/b)**(-2))**(4\/3) assuming b is positive.\nAnswer: b**(380\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d\/(d*(d*d**0)\/d))**24*(d\/(d**(-2\/11)*d))\/(d*d\/(d*d**(-2\/3))) assuming d is positive.\nAnswer: d**(-49\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 27221563550+-6062\nAnswer: 27221557488","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 15058 is divided by 161.\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 961 is divided by 4.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + -3 + sqrt(1216) + -1 + 4)**2 + -5.\nAnswer: -16*sqrt(19) + 1212","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1225581 to the nearest integer?\nAnswer: 107","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -7472330 - 4?\nAnswer: -7472334","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) be the second derivative of l**6\/360 - 11*l**5\/120 + l**4\/6 + l**3\/6 + 13*l**2\/2 - 125*l. Let h(c) be the second derivative of r(c). Give h(9).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-one eighths of a litre in millilitres?\nAnswer: 2625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0005632 to four dps.\nAnswer: 0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(12)\/(1*sqrt(6)) + 4.\nAnswer: sqrt(2) + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:07 PM and 8:44 PM?\nAnswer: 97","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 723513 is divided by 74?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t + 53 = 3*t. Suppose 5*l - z - 12 = t, 3*l = 2*z + 32. Suppose 1 = 5*x - l. Put 2, x, 1 in descending order.\nAnswer: x, 2, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -55, -57, -57, -55?\nAnswer: -51","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 5 - 11. Let f = -5.9 - t. Which is the biggest value? (a) -1\/7 (b) 0.4 (c) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 20642 is divided by 53.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 2588257 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express 6*f**4 + 21*f**4 + 6*f**3 - 21*f**4 - 2*f**3 + 15*f**2 + 25*f**2 as p*f**4 + h + g*f + z*f**3 + j*f**2 and give p.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) be the third derivative of l**7\/5040 - 7*l**6\/2160 + l**5\/48 - l**4\/16 - 7*l**3\/6 + 18*l**2. Let w(y) be the first derivative of c(y). Factor w(u).\nAnswer: (u - 3)**2*(u - 1)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = -2*w + 15. Let k(t) = -2*t + 9549. Give k(u(q)).\nAnswer: 4*q + 9519","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z + 0*z = -2. Suppose -1 + 7 = -5*t + 3*h, z*t - 6 = 4*h. Let m = 0 - t. Solve m*d - 2*d = 1 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(0 + (2 + sqrt(500))*6 + sqrt(500) + (sqrt(500) - sqrt(500)*-2)*-1)**2.\nAnswer: 3840*sqrt(5) + 32576","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = -2*w**3 + 6*w**2 - 2*w - 37. Let m be k(0). Sort 2\/9, m, 0.05 in ascending order.\nAnswer: m, 0.05, 2\/9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -15 (base 12) to base 8.\nAnswer: -21","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = 12 - 2*l + 15 - 24. Let x be c(-18). What is the highest common divisor of 78 and x?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in three eighths of a gram?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = 126*m**3 + m**2 + 9737*m + 6. Let w(d) = -630*d**3 - 4*d**2 - 48684*d - 32. Let r(f) = -16*q(f) - 3*w(f). Find the second derivative of r(l) wrt l.\nAnswer: -756*l - 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s - 5*p + 28 = 0, 5*s + 4*p + 24 = 29. Let x = -56 - -54. Let j = -5 + 5.4. What is the second biggest value in x, s, j?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 k and 1 x when two letters picked without replacement from yyyxkyx?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-12)\/(-4) - 2 - -3. Let o = -9 - -15. What is the lowest common multiple of o and (-4)\/(-8)*2*t?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) be the second derivative of -d**5\/15 - 5*d**4\/12 - 4*d**3\/3 - 6*d. Let g(x) be the second derivative of j(x). Find the first derivative of g(t) wrt t.\nAnswer: -8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 42877 bigger than 505?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qv when two letters picked without replacement from {w: 4, q: 3, v: 2}?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -30391.3 - -4?\nAnswer: -30387.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -0.4 (b) 3 (c) -17 (d) -0.1 (e) -2\/11 (f) 664\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -1 - -1*4\/4. Suppose 0 = 2*z - 2*c - 22, 0 = -3*z - 2*c - x*c + 28. Solve 2*m + 0 - 4 = 3*u, 0 = 5*m - 5*u - z for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -440*j**3 - 267*j**2 - 435*j**3 + 18*j**4 + 935*j**3 - 21*j**4 + 210*j = 0. What is j?\nAnswer: 0, 1, 5, 14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 465.\nAnswer: 3, 5, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-five halves of a millennium in decades?\nAnswer: 2250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.16 and 1560807?\nAnswer: -249729.12","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 10425 + 15?\nAnswer: 10444","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 291770238354 minus 0.1?\nAnswer: 291770238353.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_test"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 77, 150, 223, 296, 369?\n\"Answer: 73*d + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (540\/105)\/(3\/21). Suppose -92 - 88 = -m*j. Which is smaller: j or 63\/11?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = -3410*l - 27291. Determine j(-8).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 p when three letters picked without replacement from lwwppwrwprpwww?\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sum 14 and -1092192.2.\nAnswer: -1092178.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand -31*n**2 + 7*n**2 + 13*n**2 + (2*n - 3 + 3)*(0*n + 4*n - 2*n) + 3*n - 3*n + 5*n**2 - 5*n**2 + 3*n**2 + 3*n**2.\nAnswer: -n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -1.94 times -2.7748\nAnswer: 5.383112","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00003619 to six dps.\nAnswer: 0.000036","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xixw when four letters picked without replacement from {f: 1, k: 1, i: 3, x: 3, z: 2, w: 2}.\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 + (5 - (10 + -7)) + 10.\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -33*y = 3*d - 35*y - 225, 1315 = 17*d + 2*y. Let o = 38 + -27. Suppose -o - 11 = -2*n. Calculate the greatest common factor of d and n.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 33 + (-3 - 12) + -36.\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 73\/1485 and 63\/6260.\nAnswer: 1859220","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0 - 3 + 2)*(-1 - 2*j + 1) + 514*j - 712*j + 2864*j to t*j + g and give t.\nAnswer: 2668","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(5 + sqrt(13) + (sqrt(208) - (-2 + sqrt(208))**2)) + -5.\nAnswer: -21*sqrt(13) + 202","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:46 PM and 12:00 AM?\nAnswer: 254","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 12 and 1212?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (0 + (-1)\/(-2))*(79597\/(-2905) + (-7)\/(-5))?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 6023\/(-76)*30984\/135. Let g = -18190 - h. Calculate the common denominator of 127\/54 and g.\nAnswer: 270","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 525*r**2 - 266*r**2 - 260*r**2.\nAnswer: -r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*d**2 + d + 7*d**2 - 1 - d**2 + (d**2 + 2*d**2 + d**2)*(-2 + 2 - 1) to the form i + m*d + n*d**2 and give n.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w + 25 = -y, -109 = 3*y - 5*w - 74. Let p(d) = -d**3 - 6*d**2 - 7*d. Determine p(y).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 17 and 119?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(7\/5)\/(j**5\/j))**(11\/4)*((j\/(j**(-8)*j))\/j*j*j**(-3))**(-3\/5) assuming j is positive.\nAnswer: j**(-203\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 111404*-30.8\nAnswer: -3431243.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w - 2*w + 18 = 4*o, -3*o + 4 = -4*w. Suppose -3*m + 2 = -w*m. Let u(f) = -2*f + 5*f - f**2 - 2*f. Calculate u(m).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 24\/597617 smaller than 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = -67*o + 5360. Let s be j(80). Which is the nearest to -0.1? (a) s (b) 0.3 (c) -36 (d) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1560 (base 7) to base 4.\nAnswer: 21312","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 2, c: 2, r: 1, x: 1}. What is prob of sequence rx?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 - (-14 - (3 - 0) - (-30 + 27))?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -112120 - -22002?\nAnswer: -20111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 975, 4347, 9967, 17835, 27951?\n\"Answer: 1124*w**2 - 149","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((d*d**8)\/d)\/d**(2\/7))\/(d**0)**(-47)*(d**(-6)*d\/(d**7*d)*d*d)\/(d*d\/(d*(d*d**(-1)\/d)\/d*d)*d)**(1\/7) assuming d is positive.\nAnswer: d**(-26\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -3 from 69213342194.26.\nAnswer: 69213342197.26","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = t**3 - t**2 - t + 1. Let k(h) = -2*h**2 - 23*h - 11. Let r be k(-11). Calculate p(r).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j = 10, m + 3 = j + 12. Solve -p - 27 = -3*l - m, -4*p = -4*l + 40 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.952 + -0.048. Let z = 0.08 + 3.92. Let m = t - z. Which is the biggest value? (a) -2\/3 (b) -0.2 (c) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*l**3 - 7950*l**2 + 8037600*l - 271663000.\nAnswer: 2*(l - 1970)**2*(l - 35)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 282615, 282618, 282621?\n\"Answer: 3*a + 282612","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = -g**3 + 11*g**2 + 18*g - 6. Let c be j(12). Suppose 244 = 10*d - c. What is the greatest common factor of d and 124?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s + 3*i = 2766, 2*s + 4*i - 357 - 755 = 0. Does 46 divide s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jddddddddddjjddjddd. Give prob of sequence dd.\nAnswer: 35\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 11437 is divided by 117.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = -2*o**3 + 4*o - 3. Let a be 0\/(3 - (5 - 0)). Suppose 3*q - 9 = a, -p - 30*q = -27*q - 11. What is t(p)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -7 + 7 - (1 - (4 - 4))?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 5190784623?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Determine x so that -2*x**2\/3 + 127*x\/2 - 95\/6 = 0.\nAnswer: 1\/4, 95","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -12 or 5\/2?\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n = 2*d + 15, d + n + 2*n = -9. Let q be (d - -5 - 1)\/(1 - -1). Suppose -l + 3*l + 2*l - 2*l**2 - 4*l**3 - q*l**2 + 4 = 0. Calculate l.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {v: 1, t: 3, l: 3, b: 3, k: 1}. What is prob of sequence ltvk?\nAnswer: 1\/880","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 0.3 (b) -35 (c) -27 (d) -2 (e) -1 (f) 484\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4 + 0*j**3 - j**3 - 2*j + 13 - 8 to the form w*j + f*j**3 + k + r*j**2 and give f.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -304 + 176 = -15*u + 787 for u.\nAnswer: 61","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 11031 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 81\/14 and 791\/112 + 1 + -6.\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*sqrt(1872)*-2 - (-2 + sqrt(1872)*1).\nAnswer: 2 + 36*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*j**2 - j**2 + 3*j**2 - 3*j**2.\nAnswer: 3*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*g - 0*g + 3*c - 15, 4*c = -g + 15. Find the second derivative of -5*t - 4*t**2 + 6*t**2 - g*t**2 wrt t.\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = -y**2 + 8*y - 3. Let t be 30\/4 - (-3)\/24*-4. Calculate j(t).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = 516*r + 34. Let z be f(18). Let p = z - 6157. Let w be p\/2*28\/(-21). What is w rounded to the nearest one hundred?\nAnswer: -2100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) be the first derivative of -20\/3*g**3 + 0*g - 1 + 17\/2*g**2. Let a(h) = -7*h**2 + 6*h. Let d(z) = -17*a(z) + 6*y(z). Let o(t) = -3*t. Give d(o(i)).\nAnswer: -9*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ddww when four letters picked without replacement from {w: 2, d: 3, q: 3}.\nAnswer: 1\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -0.5 (b) 3 (c) 0.5 (d) -7\/8 (e) -5 (f) -45451 (g) 0.3\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -71\/10656 and -121\/57731544.\nAnswer: 230926176","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 3088 and 16.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 15\/4 of a litre?\nAnswer: 3750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -2 + 3*16\/33. Suppose -38 - 182 = 10*g. Let s be (-85)\/(-34) - g\/(-4). Which is the closest to s? (a) 5 (b) r (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine s so that -2*s**2\/11 - 636*s\/11 = 0.\nAnswer: -318, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = -7*a + 35 - 66 + 34. Let b(m) = -4*m + 2. Calculate 5*b(i) - 3*s(i).\nAnswer: i + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -103671.3131 rounded to the nearest 1000?\nAnswer: -104000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = i. Let c(u) be the third derivative of -13*u**6\/720 + 61*u**4\/24 + 16*u**2. Let p(r) be the second derivative of c(r). Calculate p(o(h)).\nAnswer: -13*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 16 - 6. Suppose -4*o + l = -2*o. Let z(g) = 2*g - 7. Determine z(o).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = 5*n + 57. Let p be z(-13). Let d(s) = -3*s**3 - 12*s**2 - 6*s - 22. List the prime factors of d(p).\nAnswer: 2, 397","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 11468?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of -801*(-3)\/(-6)*-2.\nAnswer: 3, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -8 - -12. Let i be -27*(8\/(16\/h))\/(-6). Let s(q) = q**2 - 2*q + 3. Let x be s(2). Solve -i - 26 = -5*r + 2*v, -2*v = -x*r + 25 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from poohpohpoohpooppo. Give prob of sequence hh.\nAnswer: 3\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 786210 - 0.5\nAnswer: 786209.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -29632353 + -4?\nAnswer: -29632357","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -223 (base 12) to base 6\nAnswer: -1243","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = -3*c**3 + 3*c**2 + 2*c - 137. Let u(v) = -v**3 + 4*v**2 + 3*v - 205. Let m(y) = -8*f(y) + 5*u(y). Find the second derivative of m(k) wrt k.\nAnswer: 114*k - 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w**2\/w)\/w)**(-46) assuming w is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = -o + 18. Let b be g(13). Let h(a) = a**2 - 10*a + 10. Let w be h(9). Put -8, b, w in ascending order.\nAnswer: -8, w, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -93*h + 95*h = 0 for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put together 155642716131 and 2.\nAnswer: 155642716133","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -43*i + 10 = -38*i, i + 25264 = 2*h. What is the tens digit of h?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 28823 and 28804 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 1422 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1840 + -1830. Let r(w) = -w**2 - 6*w + 9. Let k be r(-7). Solve -5*g = 2*q - 25, 4*g - k*g + 4*q - c = 0 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 20445750 by -2330.\nAnswer: -8775","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 29322?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*s + 5*s - 7605 = 0. Let i = -6043\/4 - s. Calculate the common denominator of i and 7*9\/2 - 1.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = -19*g**2 - 65*g + 370. What is q(3)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 1081*l**2 - 1 + l + 2*l**3 + 2*l**4 - 138*l**5 - 1073*l**2 + 1 - 2 wrt l?\nAnswer: -8280*l**2 + 48*l + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -78*o = -69*o + 1629. Let t = 547\/3 + o. Solve 28\/3 + t*v**2 + 32\/3*v = 0 for v.\nAnswer: -7, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -29*t - 32*t - 4*t + 22*t - 8*t.\nAnswer: -51*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = q**3 - 4*q**2 - 6*q + 6. Let o be a(5). Let j be (-4 - -2) + 0\/(-7). What is the third smallest value in o, 0.4, j?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t**17*t\/(t\/((t**(-39)\/t)\/t)*t))\/(t*(t\/(t*t**(3\/4)))\/t)**34)**(-3) assuming t is positive.\nAnswer: t**(-3\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f = -2*f, 0 = 2*t + f - 10. Suppose -t*s + 7 = 2*p - 0*s, -2*s = -4*p + 26. Let b = p + -3. What is the units digit of b?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -7 - 2. Let i = -16 + h. Let s = i - -24.9924. Round s to 3 decimal places.\nAnswer: -0.008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 4.8 - 5.8. Let f = 57 - 39. Suppose -4*k = 2*y - 16, 0*k = -2*k + 4*y + f. Put b, k, 1, 0 in decreasing order.\nAnswer: k, 1, 0, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = 321*c + 666. Is 2 a factor of u(4)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 40 + -43. Let d be (4 - (6 - 2)) + j. Is 18 a factor of 4 + 52 + d + 1?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = -18*v**2 - 44*v + 550. Calculate p(8).\nAnswer: -954","meta":{"dup_signals":{},"source":"polynomials__evaluate_test"},"subset":"dm_maths"} +{"text":"Question: What is -0.000284 minus 51?\nAnswer: -51.000284","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l - 17 = -7*l + s, 4*s - 24 = -3*l. Let u = -8 + 17. Let f = u - 8.9. Which is the closest to f? (a) 0.2 (b) l (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y + 54 + 23 = 2*w, 2*w - 74 = -2*y. What are the prime factors of w?\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:31 PM and 7:37 PM?\nAnswer: 246","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -47 - -52. Let a = -62 - -70. Put 0.2, a, c, -3 in descending order.\nAnswer: a, c, 0.2, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 22 and 11142?\nAnswer: 122562","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is (64 - 73) + 4 + (3 - 5 - 1)?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 535432438 to the nearest integer?\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-h + h + 2*h)*(0 + 1 + 1)*(2*h**4 + 0*h**4 - h**4).\nAnswer: 4*h**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.28 + 1.38. Let l = 0.7 - f. Sort 1\/5, 0.4, l in descending order.\nAnswer: 0.4, 1\/5, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 153 divide 123772284?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.01 - -0.08. Let m = z - 0.07. Which is the second biggest value? (a) m (b) 0.4 (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 35 minutes before 5:44 AM?\nAnswer: 5:09 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1222122210220 (base 3) to base 14.\nAnswer: -1d6c99","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -2\/17, 27565, 1\/2 in decreasing order.\nAnswer: 27565, 1\/2, 0, -2\/17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + ((-2*sqrt(225))\/(sqrt(45)\/(sqrt(9) - sqrt(9)*2)) - (-3 + -3*(sqrt(245) + 0)*-2)))**2.\nAnswer: -288*sqrt(5) + 6496","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve v - 55 = -4*n + 53 - 82, 3*n = -3*v + 60 for v.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fzl when three letters picked without replacement from {l: 7, f: 2, s: 1, o: 6, z: 3}.\nAnswer: 7\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 127 minutes before 2:48 AM?\nAnswer: 12:41 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express 8 + 41 - 304*h + 303*h in the form i + q*h and give i.\nAnswer: 49","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = -2*q**2 + 61546*q - 35. Let j(k) = 2*k**2. Give l(j(x)).\nAnswer: -8*x**4 + 123092*x**2 - 35","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*q + 12 = -t, -3*q + 264 = 67*t - 89*t for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence dddr when four letters picked without replacement from {c: 4, d: 3, r: 1, u: 6}.\nAnswer: 1\/4004","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 6816, 6823, 6840, 6873, 6928, 7011, 7128?\nAnswer: 7285","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 18\/5 of a litre in millilitres?\nAnswer: 3600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-2)\/(-6))\/(142\/(-2556)).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 10 and 368440?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -5.2731515 - -2\nAnswer: -3.2731515","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((p**(3\/5)\/p**2)\/((p*p*p**0*p)\/p*p)**(-45))**(-48))**(2\/59) assuming p is positive.\nAnswer: p**(-64128\/295)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find a, given that -a**5 + a**4 + 112*a**3 + 524*a**2 + 624*a = 0.\nAnswer: -6, -4, -2, 0, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -61725099*f**2*t - 50*f*t + 12*f - 1259*t - 9 wrt f?\nAnswer: -123450198*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 106356 and 204?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hvol when four letters picked without replacement from kkhlkhkkvhvkvkhkkokv.\nAnswer: 2\/14535","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1658144540?\nAnswer: 2, 5, 13, 647, 9857","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 - -3 - 19 - (-1 - 0 - -5)?\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) be the first derivative of 2*f**3\/3 + 9*f**2\/2 - 3. What is the second derivative of p(s) wrt s?\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4383634589?\nAnswer: 30223, 145043","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 39792 - 3?\nAnswer: 3978a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in -0.5, -1, -3?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 33 - 35. Let v be (-30)\/5*(-1 - d\/6). Calculate the common denominator of 85\/2 and 66\/v*10\/(-24).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:30 AM and 8:24 PM?\nAnswer: 714","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = r**2. Suppose 36 = 5*w + 26. Let i(k) = -319 + 2*k - w*k - k**2 + 323. Calculate f(i(j)).\nAnswer: j**4 - 8*j**2 + 16","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2759396571?\nAnswer: 3, 107, 955139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 2620729 to the power of 1\/2, to the nearest integer?\nAnswer: 1619","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 286 and 1958?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: ((-2)\/(-7))\/((-408)\/357)\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -37*o = -33*o - 20 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 8\/351221 and -62\/3?\nAnswer: 1053663","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 592 minutes after 2:56 AM?\nAnswer: 12:48 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -8 - (-3 + -21 + 0). Suppose -4*d = -0*d - h. Solve -11*z - d = -9*z for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(5\/2))**(1\/46) assuming y is positive.\nAnswer: y**(5\/92)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -85 + (0 - -8) + -16 + 54 + -1 + -34?\nAnswer: -74","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 5, -1\/128, 2\/359?\nAnswer: -1\/128","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 741 - 813 = -12*n for n.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-5)\/(-3))\/(15\/18). Suppose -138 = -2*b + 9*m - 5*m, 0 = -k*m + 4. Is b a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) be the second derivative of z**5\/30 + 3*z**2\/2 + 2*z. Let y(w) be the first derivative of t(w). Let m(q) = -2*q**2. Calculate y(m(r)).\nAnswer: 8*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v + 5*o = -92998, -2 = 14*o - 13*o. What is the tens digit of v?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -6 - -11. Suppose -3*i + 1175 = 2*p + 3*p, 4*i = l*p + 1590. Is i a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -6 - -5.4. Let v = -0.8 - p. Let u = 13 + -8. What is the closest to v in 0, u, 1?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*l + 5*z - 14 + 22, 3*l = 2*z + 5. Let j(u) = -21*u - 1. Give j(l).\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = -4*l - 1. Give b(0).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 492 minutes after 1:24 AM?\nAnswer: 9:36 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k + 19 + 30 = o, -2*k - 3*o = -42. Let a(p) = -p**2 + 13*p + 10. Let q = -17 + 30. Let i be a(q). Calculate the highest common divisor of k and i.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 854 a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) be the third derivative of q**9\/56 - 5*q**5\/12 - 23*q**2. What is the third derivative of m(f) wrt f?\nAnswer: 1080*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 88783087 and 12484.\nAnswer: 3121","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 8 - -38. Calculate the remainder when p is divided by 12.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 14.9064864764455 and -0.5?\nAnswer: 15.4064864764455","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 121632 and 8925472.\nAnswer: 5792","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1015386787?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -5 - -13870341?\nAnswer: 13870335","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 69, 67, 63, 57, 49, 39, 27?\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_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: Suppose 2*v + 4 = -66. Let p(q) = 233338*q - 18. Let i be p(6). Let f be i\/v - (-2)\/7. What is f rounded to the nearest ten thousand?\nAnswer: -40000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 minutes after 1:09 AM?\nAnswer: 1:15 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is (-8 - (-150)\/10)\/(14\/36)?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -57 divided by -6?\nAnswer: 19\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 258\/10 + (-9)\/(-45). Let p = -26 + a. Suppose p = 2*r - 2*w - 10, r + 3*w - 8 - 1 = 0. Sort -5, r, 1 in ascending order.\nAnswer: -5, 1, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-331*w**2 + 2524*w - 2524*w)*((8 + 9 - 6)*(0 + 2 - 1) + 5 - 1 - 2) + w - 4*w + w**2 + 5*w to the form s*w**2 + a + u*w and give u.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_test"},"subset":"dm_maths"} +{"text":"Question: What is -172 + 93 - (-25 + -17)?\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express (3*i + 19 - 19)*(i + 2*i**2 - i) + 43*i**3 + 0*i**3 + 29*i**3 in the form f*i**2 + l*i**3 + r + j*i and give l.\nAnswer: 78","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = -18 - s**3 + 34 + 11 + 0*s**3 + 8*s**2. What is the remainder when 77 is divided by y(8)?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-17)\/136*0*(-2)\/(-4). Solve b - 3*l - 3 = -5, -5*b + 2*l - 23 = y for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = d**3 + 17*d**2 - 16*d - 170. Let c be n(-17). What is the hundreds digit of (-34)\/c*(1 + (-1 - 2109))?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5 (base 16) to base 7\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -35*o**4 - o**4 - 29*o**2 + 13*o + 29*o**2 wrt o?\nAnswer: -432*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -25, -5, -3, 8.\nAnswer: -25, -5, -3, 4, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 1.464 * -0.09688\nAnswer: -0.14183232","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-584 + 220 + 1631)*(2 + 2*w**3 + 0 + 0) + w**2 + 2*w**3 + 3*w**3 + 1 + w - 3*w**3 to p*w**2 + j + b*w**3 + n*w and give j.\nAnswer: 2535","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 55681573.\nAnswer: 181, 307633","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 599, 1579, 3349, 6305, 10843?\nAnswer: 17359","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = 17*u - 66. Let c be y(4). Let f(s) = 133*s**2 - s + 10. Is 54 a factor of f(c)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0 (b) -2\/3 (c) -34 (d) -68 (e) -0.19 (f) 1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -54 + 57. Suppose -j = 2*o - 37 - 10, -4*j = -n*o + 87. Does 25 divide o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -19 in 20, 1\/4, 2, -18?\nAnswer: -18","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -29393 divided by 2796\nAnswer: -29393\/2796","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -9*h + 4*h + 3*v + 5, 29 = h + 5*v. What is the second derivative of -34*k**3 + h*k**4 + 34*k**3 - 12*k wrt k?\nAnswer: 48*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = 3*p**3 - p**2 - p - 1. Let t = 46892 + -46891. Let q(w) = -1. Give t*q(m) - j(m).\nAnswer: -3*m**3 + m**2 + m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 8 in 1\/5, 2\/5, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -12130, -24181, -36156, -48055, -59878, -71625?\n\"Answer: 38*l**2 - 12165*l - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0001816 rounded to five dps?\nAnswer: 0.00018","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o + h + 46 = 0, 7*h - 2*h + 6 = -o. Let t be (7\/o)\/(2\/20). Suppose 6 = y + 5*d - 4, 10 = y - t*d. What is the remainder when 17 is divided by y?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 23 + -2 - (214 - 191)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 155295 divided by 5\nAnswer: 31059","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2129438.\nAnswer: 2, 743, 1433","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = -8*c - 24. Let y be 576\/(-84) + (-1)\/7. Is p(y) a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (14 - 9) + (-1 - 0). Solve 4*k + 4*o - 12 = 2*o, -3*o - 2 = -t*k for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 31323 - 31171. Calculate the highest common factor of b and 12882.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1 divided by -9482\nAnswer: -1\/9482","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1137800502189.95700056 - 1137733493040.957. Let l = n + -67009152. Let u = l - -3. What is u rounded to seven dps?\nAnswer: 0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 179*x - 3*x + 51*x + 179*x as p*x + a and give p.\nAnswer: 406","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (728\/(-35))\/((-2)\/25). Let d = -381 + m. Are -121 and d non-equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*-5*sqrt(931).\nAnswer: -35*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {r: 7, x: 4, v: 2}. Give prob of sequence rvrx.\nAnswer: 14\/715","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = 553*l - 3. Let t be r(3). Let q = t - 643. Suppose -5*u - 2*i = -q, 264 = 2*u - 3*i - 145. Is u a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) -0.2 (b) 24 (c) -3 (d) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x + 464 = 2*p, -3*p + 3*x + 928 = p. List the prime factors of p.\nAnswer: 2, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-15)\/(-4) - (2 + 1). Let b = -4297 - -4296.8. What is the nearest to r in b, 2\/23, -4?\nAnswer: 2\/23","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = -s**2 + 12*s - 28. Give u(10).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24 = -2*v + 5*v. Suppose v = -i + 3*d, 5*i + 4*d - 28 = 2*d. Suppose 0 = -2*n - i + 26. Solve -3*g = -2*l + n, -g + 4 = -3*g - 2*l for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 177*q - 168*q + 81 = 0 for q.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -81026, 1, 3\/2, 7, 2, 1\/3 in decreasing order.\nAnswer: 7, 2, 3\/2, 1, 1\/3, -81026","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 10 and 1930?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express -395*s + 550*s + 1465*s as i + p*s and give p.\nAnswer: 1620","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3 in -815, 1\/5, 1\/7, -8.5?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 8 + (-3 - (0 - 0)). Suppose d*a - 22 = -7. Suppose -56 = -z - a*z. Calculate the greatest common divisor of 112 and z.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -733775 divided by -25?\nAnswer: 29351","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = -3*i - 15. Let m be c(-6). What is g in 7*g**5 - 28*g**2 + 0*g**3 + 6*g**m + 4*g**4 - 2*g - 6*g + 19*g**4 = 0?\nAnswer: -2, -2\/7, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 549805656?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (4\/10)\/((16\/20)\/((-1)\/10))?\nAnswer: -1\/20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 10110101110011 (base 2) to base 9\nAnswer: 16857","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 14286358 is divided by 37.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (1 + -8)*2 + -1. Suppose -u = -f - 38, -3*f + 7*f + 197 = -5*u. Let v = 27 + f. Which is bigger: v or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 1225 to the nearest one hundred.\nAnswer: 1200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1008)\/(-28) + -8 + -6?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -286, -995, -2194, -3883, -6062, -8731?\nAnswer: -11890","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 1217766 divided by -6\nAnswer: -202961","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 11063892 and 32?\nAnswer: 88511136","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5376556 is divided by 336032.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 700 minutes after 12:27 PM?\nAnswer: 12:07 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = 6*h**3 - 157*h**2 + 13*h + 103. What is o(26)?\nAnswer: -235","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -15 + 33. Is d not equal to 18?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) be the first derivative of 4*p**5\/25 - 8*p**3\/15 + 4*p\/5 + 53. What is h in z(h) = 0?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -10432 divided by -2.\nAnswer: 5216","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 1677541 a multiple of 145?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1 or 4\/87?\nAnswer: 4\/87","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(-5*(-2 + sqrt(5)))**2 + 2 - (4 + sqrt(30)\/sqrt(6) - ((sqrt(30)\/sqrt(6))**2 + -2)).\nAnswer: -1349 + 599*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 16.26 - 0.26. Let m = 16.9 - f. Let n = 1 - m. Round n to two decimal places.\nAnswer: 0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 25.8704 days in microseconds?\nAnswer: 2235202560000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1474 divided by 1.\nAnswer: 1474","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -e8 + -2?\nAnswer: -ea","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -b**2 - 4 - 3012*b + 6 + 0 - 66*b**2.\nAnswer: -67*b**2 - 3012*b + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 232 - -4433?\nAnswer: 4665","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) be the second derivative of w**4\/2 - w**2 - 2*w. Let o(j) = -j**2. Determine o(d(g)).\nAnswer: -36*g**4 + 24*g**2 - 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert -12 (base 9) to base 8.\nAnswer: -13","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d + 2*z = 192, 4*z = 2*d - 0*z - 96. Suppose -2*o - 2*o + d = 0. Suppose -2*g - 2*g + o = 0. Solve -3*n - 14 = -3*f - 2, -3*f - g*n + 18 = 0 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 217649 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -36 = 5*w + 4*f, 4*w + 5*f - 18 = -54. Let c be 3\/5 + (1776\/(-10))\/w. Suppose 3*n + 61 = 5*g + 14, 5*g - 5*n - c = 0. Is 10 a factor of g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 1361*b - 1790 with respect to b.\nAnswer: 1361","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 207, 878, 2013, 3612?\n\"Answer: 232*s**2 - 25*s","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-275)\/(-45) - 6)*-1?\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*f - 2*o = -0 - 9, o = 5*f + 15 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6544 is divided by 42.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 108 and 1183836.\nAnswer: 10654524","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -43 + 87?\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 53\/7 and -9\/11.\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express 16*t**2 - 2*t**3 - 11*t**2 - 30*t - 4*t**2 + t in the form y*t**2 + v + w*t + q*t**3 and give w.\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = 62*o - 66*o + 62*o**3 - 60*o**3 + 3*o**2. Let d(u) = -u**3 - u**2 + u. Give 4*d(l) + p(l).\nAnswer: -2*l**3 - l**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-170)\/14 + 111\/777.\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 39, 3, -3, -4, 4, 1 in ascending order.\nAnswer: -4, -3, 1, 3, 4, 39","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = p**3 + p + 4. Let j(m) = -2183*m**3 - 6*m - 2394. Let o(f) = j(f) + 6*r(f). What is the derivative of o(z) wrt z?\nAnswer: -6531*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9554 is divided by 111?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -10? (a) 317 (b) 0.1 (c) -0.1 (d) 57\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 60 + -54 + (1 - (3 - 5 - -1))?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-4)\/18 + (-20)\/(-9). What is the derivative of -67 - 127*d + 129*d + 5*d**2 + 66*d**g wrt d?\nAnswer: 142*d + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 31\/2 of a day in hours?\nAnswer: 372","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 17\/2 of a week in hours?\nAnswer: 1428","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 91 + -90. Does 4\/43 = w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = o - 26. Let m(c) = c - 25. Determine 2*h(j) - 3*m(j).\nAnswer: -j + 23","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 55433?\nAnswer: 7, 7919","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = -1. Let o(c) = 2*c**3 + 32*c**2 + 4. What is -4*b(f) - o(f)?\nAnswer: -2*f**3 - 32*f**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = 2*n**2 - 18*n + 29. Let q be p(7). What is the second derivative of q - 1 + 110*j**2 + 28*j + 80*j wrt j?\nAnswer: 220","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3\/46*(24\/90)\/(4\/(-20))?\nAnswer: -2\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = -2*j**2 + 3*j - 3. Let u(z) = z. Give -g(b) + 5*u(b).\nAnswer: 2*b**2 + 2*b + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express -15*j + 15*j - 9*j**2 + (-14*j**2 - j**2 + 23*j**2)*(-2 + 0 - 1) in the form s + b*j + f*j**2 and give f.\nAnswer: -33","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3\/(-6))\/(8\/80).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v\/(v\/(v**(-48)*v)*v))\/(((v**(1\/53)\/v)\/v)\/v))\/(v*((v\/(v\/(v**44*v)))\/v)\/v*v*v\/((v*v*v**(-5\/7)\/v)\/v)) assuming v is positive.\nAnswer: v**(-34033\/371)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -136 = 2*h + 4*l, -2*h + 2*l - 128 = -2*l. Let n be h\/(-4) + 8\/(-16). Let t = n - -40. Is t a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 27904?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 165 minutes after 6:33 PM?\nAnswer: 9:18 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in w - 39521 - 2*w**2 + 39298 - 77*w**2.\nAnswer: -79*w**2 + w - 223","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort -19169, -2, 2 in descending order.\nAnswer: 2, -2, -19169","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0 + 4. Let m(g) = -3*g**2. Let b = -4720 + 4717. Let a(d) = -3*d**2. Calculate b*m(p) + x*a(p).\nAnswer: -3*p**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 299\/(-52)*-4*(1 + 5). Calculate the greatest common divisor of j and 9729.\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000105707 to 4 dps.\nAnswer: -0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*s**2 - 5*s**2 - 31*s**2 - 21.\nAnswer: -42*s**2 - 21","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*sqrt(104)\/sqrt(8)*-6)**2*-2.\nAnswer: -14976","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is ninety-one quarters of a meter in millimeters?\nAnswer: 22750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(-3)*z\/(z\/(z**(-1\/7)*z))*z*z**(-1\/5)\/z**(1\/2))\/(z**6\/z**1*(z**(2\/13)*z)\/(z*z*z*z\/z**6)) assuming z is positive.\nAnswer: z**(-9097\/910)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*l = -5*q - 37, -q + 3*q + 25 = -5*l for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1*(105\/6)\/5)\/((-4153)\/(-58142)).\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 12\/66 + 28\/(-33)*-813. What is the common denominator of (-147)\/p*65\/(-39) and -95\/16?\nAnswer: 1104","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 43655486\/35 - ((-1672)\/380 + 4*1). What is f rounded to the nearest 10000?\nAnswer: 1250000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1511204.5902 less than -20211?\nAnswer: -1531415.5902","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -4\/53? (a) -0.3 (b) 2\/63 (c) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {n: 2, i: 1, j: 1, d: 1, e: 2}. What is prob of picking 2 n and 1 j?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 47.3375 - -0.7185. Let v = -48 + n. What is v rounded to 2 decimal places?\nAnswer: 0.06","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((5 - 3*k - 5)*(1 - 4 + 2) + 3 - k - 3)*(-2 + 5 - 2)*(-21 + 2*k + 21).\nAnswer: 4*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t - 2*t = -76. Suppose r - 6*r - t = -d, 0 = r + 3. Calculate the smallest common multiple of 2 and d.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 117414581 to the power of 1\/2, to the nearest integer?\nAnswer: 10836","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -29\/33 and -58\/16041?\nAnswer: 176451","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = l**2 - 3. Let k be ((6\/8)\/(-1))\/(86\/(-344)). Let j(r) = 2. Let v = 1 - -1. Calculate k*j(w) + v*d(w).\nAnswer: 2*w**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 33 and 7326.\nAnswer: 7326","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -626*a*f**2 + 12*a*f - 3*a - 4 wrt f?\nAnswer: -1252*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2904051208?\nAnswer: 2, 23, 15782887","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) be the first derivative of 3*n**2 + 9*n - 50 + 1\/3*n**3. Determine g(-6).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 27203?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 1292 a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 18427493?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -12.3 and 82?\nAnswer: -1008.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 z and 1 f when two letters picked without replacement from {z: 1, p: 1, n: 1, f: 3, t: 1}.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 0.5 (b) 2 (c) 0.1 (d) 1 (e) 8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 2b121 - 18?\nAnswer: 2b105","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Work out 145 * 0.01562.\nAnswer: 2.2649","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -50295785, -201183118, -452662007, -804732452, -1257394453?\nAnswer: -1810648010","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (87703\/(-1564) + 56)*(-1 - 40\/(-56)).\nAnswer: 1\/46","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -74 = -k + 2*k + j, 0 = -5*k + 4*j - 388. Let u = 106 + k. Calculate the remainder when u is divided by 11.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + 4 + (sqrt(68) + 3)**2 + -3.\nAnswer: 12*sqrt(17) + 79","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve b = -571 + 574 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (0 - 2) + -6 - -6 - -1.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = -4 - 2*z + 8*z + 0. Let v = -146 - -150. Is f(v) a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 171 minutes after 1:11 PM?\nAnswer: 4:02 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-93*s + 14 - 14)*(2*s**2 + s**2 - 2*s**2) to k*s + m*s**3 + i*s**2 + r and give i.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o = 3*o - o. What is the third derivative of -20*f**6 + 12*f**2 + o*f + 2*f**2 + 0*f wrt f?\nAnswer: -2400*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 435, 873, 1313, 1755, 2199, 2645?\nAnswer: 3093","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1000010010001100011 (base 2) to base 3.\nAnswer: -111210101001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 h and 1 f when two letters picked without replacement from ldghgfi.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does 50 divide 5343700?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 2002762 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*s - 12 - 13, -4*t - 5*s = -287. What is the highest common factor of t and 18?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1737 and 16212?\nAnswer: 48636","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*j**2 - 25*j - 30.\nAnswer: -5*(j + 2)*(j + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1489 - 2*l + 1111 + 3*l)*(4*l**2 + 6 - 6)*(4 + 0 + 7).\nAnswer: 44*l**3 - 16632*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -650934 divided by -3\nAnswer: 216978","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -132 - 2424361?\nAnswer: -2424493","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 9 + -6. Suppose 0 = -2*m + c*m. Let l(f) = 5*f + 8. Let r(z) = 8*z + 8. Let i(j) = -3*l(j) + 2*r(j). What is i(m)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 22210016?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 4213036472 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: Evaluate -2 + ((-48)\/(-9) - (-42 + 49)).\nAnswer: -11\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -496 divided by 8?\nAnswer: -62","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put 126, 5, 0.0056, 1\/220 in descending order.\nAnswer: 126, 5, 0.0056, 1\/220","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in 11, -1155, 0.06?\nAnswer: 0.06","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1045*r = 33379 + 90976 for r.\nAnswer: 119","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = 7*h - 7. Let w = 22 - 16. Let f be v(w). Is (2\/2)\/(-1) + f a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) -46 (b) -0.06 (c) 26\/23 (d) 0.2 (e) -2\/3 (f) 2\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = 3*g**2 + g + 7. Let v be s(4). What is the units digit of (382\/(-12))\/(v\/(-354))?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(720) - (sqrt(720)*1 + sqrt(720))*2) + (sqrt(720)*-2 + -5 - sqrt(720)) + -5)**2 - (-2*(sqrt(500)*-3 - -4*sqrt(15)\/sqrt(3)))**2.\nAnswer: 1440*sqrt(5) + 12500","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:21 AM and 11:45 AM?\nAnswer: 144","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*p + 3*u - 2*u - 2, -8 = -2*p - 4*u. Is 0\/(-9) + (p - -1059) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 82 and 42 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -42 - 57 = 99*s for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 5310 and 11394?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*a - 13221*y = -13219*y + 8, 0 = 5*a + 2*y - 8 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 31*m*w**3 - m*w**2*z**2 - 426*m*w*z**2 + 7*m*w*z - 4*w**4*z + 104*w**3*z**2 wrt w?\nAnswer: 186*m - 96*w*z + 624*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6676014?\nAnswer: 2, 3, 67, 16607","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -17\/22568 and 137\/16120.\nAnswer: 112840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.6421 + -5.6421. Sort -12, x, 7 in descending order.\nAnswer: 7, x, -12","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 339, 560, 667, 660, 539?\n\"Answer: -57*u**2 + 392*u + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*g**2 + 54742732*g - 54742732*g.\nAnswer: -2*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3 - ((-5 - (3 - 7) - -15 - -9) + -1)?\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = 3*t**2. Let m(i) = 4*i**2 - 5. Let r(l) = -3*l**2 + 4. Suppose 3*v + 20 = -4. Let o be 1*(v\/2)\/1. Let a(b) = o*m(b) - 5*r(b). What is a(w(y))?\nAnswer: -9*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = 29*v - 88. Let c(w) = -5*w + 15. Give 34*c(l) + 6*q(l).\nAnswer: 4*l - 18","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -6 - -3. Let j be (1\/a)\/((-2)\/12). Suppose j*v - 15 = 5. List the prime factors of v.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*l - 45*c + 48*c = 6, -3*c - 2 = 4*l for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = u**3 - 66*u**2 - 4074*u - 2216. What is a(105)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 140 and 3247050.\nAnswer: 45458700","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 815 - 807. Suppose 3*i - 3*z - 282 = 0, -4*z - 384 = -4*i - t*z. Does 7 divide i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*k - c = -15, 132 = -2*k + 11*c + 142 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert -196453 (base 12) to base 6.\nAnswer: -13322543","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = -17*t. Let l(f) be the second derivative of 0 + 0*f**2 + 0*f**3 - 25*f - 1\/4*f**4. What is l(u(p))?\nAnswer: -867*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-71190)\/(-4068)*18\/7.\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*f - a + 2 = -3, -5*a = -5*f - 10 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 703, 5619, 18969, 44971, 87843?\nAnswer: 151803","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand 5*t**2 - 3*t**2 - 4*t**2 + (-5 + 1 + 3)*(-3*t**2 + 3*t**2 - 2*t**2) + 2*t**2 + 0*t**2 + 0*t**2 - 1 + 1 + t**2.\nAnswer: 3*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(-7)\/w**(-2\/15))\/(w*w\/(w\/(w*w**(-2\/9))*w*w)*w)**37 assuming w is positive.\nAnswer: w**(-1604\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 10101001010111000011 - 11?\nAnswer: 10101001010111000000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.2 and 94?\nAnswer: 18.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -2521 - -2518. What is the third biggest value in -14\/3, y, -1?\nAnswer: -14\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1540\/(-1232)*88\/(-3245)\nAnswer: 2\/59","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from axgbbnq. What is prob of sequence bqx?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 6 + aa5f8?\nAnswer: aa5fe","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert -6033023 (base 7) to base 13.\nAnswer: -1c0091","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*d + 4*d**3 + 6*d - 3*d + d**3 in the form q*d**3 + a + n*d**2 + p*d and give p.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1336.\nAnswer: 2, 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 3122 and 434.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 459 and 751383.\nAnswer: 459","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 38d33eb + -1?\nAnswer: 38d33ea","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z\/z**(2\/7)*z\/(z*z*z**(-11\/4))*z)**(-32))**(15\/2) assuming z is positive.\nAnswer: z**(-5820\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 366 at least as big as 358?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (33\/24 + -1)*-4. Let n = 0.0441 - 0.0441. Put y, n, 1\/2, 2\/9 in ascending order.\nAnswer: y, n, 2\/9, 1\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = -2*z**3 - z**2 - 3*z + 3. Calculate o(2).\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c = -2*k + 44, 0*c = k - c - 21. Suppose 5*p = 4*y + 26, 5*p - 4*y - 14 = -3*y. Suppose z = p*z - 60. What is the greatest common divisor of k and z?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((y**(-13)\/y)\/(y**(9\/5)\/y))\/((y*y\/y**(-3\/7))\/(((y*y**(-13)*y)\/y)\/y*y)))**(2\/11) assuming y is positive.\nAnswer: y**(-186\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -105237.3 and 0.2?\nAnswer: 105237.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) be the third derivative of w**5\/180 - w**4\/18 + 11*w**2 + 2*w. Suppose c(s) = 0. What is s?\nAnswer: 0, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000952878 to six decimal places.\nAnswer: 0.000095","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = -58*a**2 - 10210*a - 288. Determine y(-176).\nAnswer: 64","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -40*r**2*x**3 + 6*r**2 + 11*x**2 wrt x?\nAnswer: -240*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -72396, -144798, -217202, -289608, -362016, -434426, -506838?\n\"Answer: -z**2 - 72399*z + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = -i**3 + 43*i**2 + 82*i + 156. List the prime factors of f(44).\nAnswer: 2, 457","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -13*b**3 + 25*b**2 - 11*b**2 - 14*b**2.\nAnswer: -13*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -12 + (-16 - -10) + 15.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 53873632 or 53873631?\nAnswer: 53873632","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.1 + 0.5. Let i = 13.32 - 14. Let d = 2.68 + i. Which is the smallest value? (a) d (b) q (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000132886318 rounded to six dps?\nAnswer: 0.000133","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p\/p**(-2\/7))\/p**(2\/41) assuming p is positive.\nAnswer: p**(355\/287)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Work out 18 + 3.755.\nAnswer: 21.755","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/6*9\/60*2?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 5 (b) 12706 (c) 2 (d) -1 (e) 0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*w - 5*w + 2*w)*(574*w - w**2 - 574*w + 5 + 0*w + 0*w + 2*w**2 + (w - w + 2*w)*(0*w + w + w) - 3*w**2 - 3*w**2 + 4*w**2 - 4*w + 2*w**2 + 4*w).\nAnswer: 5*w**3 + 5*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*u**3 - u**3 - 9*u**3 - 5*u**3.\nAnswer: -19*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -44 + 130\/3. Let r = 22 + -31. Let x = 4 + r. Which is the second biggest value? (a) 0 (b) x (c) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in k - 5*k + 0*k - 2*k.\nAnswer: -6*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 190665 (b) 0.4 (c) 0.5 (d) 29.9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = -1791672*k. Let x(j) = -18*j**2. Determine x(v(b)).\nAnswer: -57781594000512*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 100611600 a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = l - 13. Suppose 0 = -17*b + 9*b + 120. Let y = b - 7. What is x(y)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) be the second derivative of s**6\/10 + s**4\/12 - 25*s. Find the third derivative of t(h) wrt h.\nAnswer: 72*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 28 a factor of 394780?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (390\/24)\/(-13)*-4. Suppose s + 1 + 6 = -c*g, -s + 1 = g. Sort -1, s, 13 in descending order.\nAnswer: 13, s, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1.46 * -26.\nAnswer: -37.96","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = -8*d - 20. Let r(s) = 3*s + 7. Let y(w) = w**2 - 5*w + 5 - w + 2*w. Let q be y(4). Suppose -i = -2 - 12. Calculate i*r(o) + q*f(o).\nAnswer: 2*o - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = -34*b**3 + b. Let r be k(1). Let s = -21 - r. Let l = s + -6. What is the units digit of l?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = -181*b**2 - 6015*b - 1394. Calculate n(-33).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round -18294.4 to the nearest one hundred.\nAnswer: -18300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = 27*i - 555. Let a(m) = 6*m. What is 4*a(g) - j(g)?\nAnswer: -3*g + 555","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0001969961045 to 7 decimal places.\nAnswer: -0.000197","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*k + 26*k - 20 = 0 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q*(q**(-1)*q)\/q)**(-22)\/(q*q\/(q**(-2\/7)*q))**23 assuming q is positive.\nAnswer: q**(-207\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 833 or 639?\nAnswer: 639","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {z: 1, b: 4, d: 1, h: 6, e: 4}. What is prob of picking 2 b and 1 z?\nAnswer: 3\/280","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is (-17472)\/1260*(-3)\/16?\nAnswer: 13\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -40327 + 574495\nAnswer: 534168","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in one fifth of a kilometer?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d - 4*d + 65 = 0. Are d and 14 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 243269, 243415, 243671, 244043, 244537, 245159?\nAnswer: 245915","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 28\/3 of a minute in seconds?\nAnswer: 560","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 72861929?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2 - 2) + 4 - 2 - -21 - 9.\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -5.6 minus -44467?\nAnswer: 44461.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 12987 and 74.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*((6*-2*-2*sqrt(117))\/((sqrt(720) + sqrt(720) + sqrt(720) + sqrt(720) + 1*sqrt(720) - sqrt(720) - sqrt(720))\/sqrt(5)))**2.\nAnswer: 156","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -17, -25, -33, -41, -49, -57?\nAnswer: -65","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/40 of a litre in millilitres?\nAnswer: 75","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*v = -22*k + 27*k - 17, -2*v = k - 7 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = -v**3 + 5*v**2 + 6*v. Let u = -14 - -20. Let y be i(u). Suppose x - 2 - 1 = y. What is the units digit of x?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -52, -53, -54, -55, -56, -57?\nAnswer: -58","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 3948 - 3945.3. Sort 0.01, 3, c, -4.\nAnswer: -4, 0.01, c, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 26 - -35. Let d = 44\/105 - 14473\/210. Let p = d + f. Which is bigger: -9 or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 92, 88, 82, 74, 64, 52?\nAnswer: 38","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: ((-17)\/34)\/(7\/(-4))\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24*f = 2075 + 805. Calculate the highest common factor of f and 390.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 11 - (10 - 22)*-1. Which is smaller: -1\/744 or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -14 + 19*j + 34 - 21.\nAnswer: 19*j - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {e: 1, u: 2, x: 8, b: 1, y: 5}. What is prob of picking 2 u and 1 x?\nAnswer: 1\/85","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + -1*sqrt(2)*-5*-2 - (3*(sqrt(2) + sqrt(2)*2)**2 - (sqrt(8)\/sqrt(2))\/sqrt(2)).\nAnswer: -56 - 9*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1 - 2. Is (3 - 11)*-26 - y composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-47)\/((-47)\/(-6)))\/(2520\/224)?\nAnswer: -8\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.4, 52, -14, -43 in decreasing order.\nAnswer: 52, -0.4, -14, -43","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = -2*p**2. Let f(v) = -v**2 + 1. Let g(t) = 3*t**2 - 6. Let r be 4\/(4\/(-2)) + 3. Let j(u) = r*g(u) + 6*f(u). What is l(j(w))?\nAnswer: -18*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = 2*x**2 + 17*x + 9. Give n(-7).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.4074 + -0.0926. Let p = -52 + 52.7. Suppose -j + 4 = -0*j. What is the third biggest value in -0.3, z, j, p?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 2232 and 21041088?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 4238 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 the third derivative of -181*v**5 - 2*v**2 - 231*v wrt v?\nAnswer: -10860*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -v + 17*u + 19, -2*v - v + 4*u - 145 = -61 for v.\nAnswer: -32","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 7263\/5 - 1452. What is the nearest to -0.1 in -169, -2\/21, w?\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*(1 + sqrt(700)))**2 + (sqrt(700) - 1*sqrt(700))*5 - (5 + (sqrt(700) + 0)**2 + -3).\nAnswer: 80*sqrt(7) + 2102","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2 (base 15) to base 3.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 17b26 (base 14) in base 15?\nAnswer: 12ac9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 239 - 0.08147297672?\nAnswer: 238.91852702328","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0.728, -63, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -4072926 or -4072929?\nAnswer: -4072929","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u*u\/(u*(u\/(u\/(u\/(u\/u**(1\/6)))))\/u))\/(u\/u**(-2\/3))*u**(2\/13)\/u**6)\/(((u*u**(-5))\/u**(-2\/9))\/((u**(-2\/3)*u)\/(u*u**(-3\/5)))) assuming u is positive.\nAnswer: u**(-2303\/1170)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.17 - 110.48.\nAnswer: -110.65","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 156349132 greater than or equal to 156349131?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/5 of a litre in millilitres?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*s + 2*s - 10 = 2*p, -s + 2*p - 5 = 0. Is -4 >= s?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1051*x = 8346 + 6368 for x.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 201 is divided by 121.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3447135?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 6.36484 grams in tonnes?\nAnswer: 0.00000636484","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {c: 5, o: 5}. What is prob of sequence cco?\nAnswer: 5\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = -v**3 - 8*v**2 - 110*v - 1087. Determine i(-10).\nAnswer: 213","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = 3*m - 2 + 6*m**3 - 3*m**3 - 2*m**3 - 2*m - 8*m**2. Give r(8).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -669, -4796, -15727, -36780, -71273?\n\"Answer: -553*m**3 - 84*m**2 - 4*m - 28","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 159*w = 160*w + 1. Let l be (24\/(-100))\/((-12)\/15). What is the nearest to 1 in w, l, 2?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -64\/15 and -5 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -345 divided by -69.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = -y**3 + 5*y**2 + 4*y + 7. Let h be i(5). Let t = 73 - h. Is t\/2 + -2 + 2 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 330702133 to the power of 1\/8, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 122747352 and 7440?\nAnswer: 1227473520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = z**3 + 5*z**2 + 3*z - 4. Let u be k(-2). Solve -2*w + 3*d = -0*w - 7, 0 = u*d + 2 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1\/29313 + -105380233\/58626. Is -1797 greater than or equal to d?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 262229 is divided by 2300?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Divide 22998606 by -19.\nAnswer: -22998606\/19","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in three eighths of a second?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) be the second derivative of 0 + 0*f**3 + 0*f**5 - 1\/30*f**6 + f - 5\/12*f**4 + 0*f**2. What is the third derivative of q(o) wrt o?\nAnswer: -24*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((j*j\/(j\/(j*j*(j\/(j\/(j\/j**(-9\/4))))\/j*j*j*j)))\/(j*(j*j**(8\/7)*j)\/j))\/(j*j**(-11)*j**(4\/9)))**(-4\/3) assuming j is positive.\nAnswer: j**(-3695\/189)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.013472 > -21?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 33784?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 + (-3 + (-1 - -2) - -4)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 2700.4216 rounded to the nearest 10?\nAnswer: 2700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (t**2 + 3*t**3 - t**2)*((5*t - 8*t + 5*t)*(-2*t + 0*t - t) + (t**2 - 3*t**2 + 0*t**2)*(0 + 0 + 2) + 4*t**2 - 5*t**2 + 2*t**2).\nAnswer: -27*t**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = 2*n + 2. Let k be 5\/(-10) - 26\/n. Let y be (k - -5) + 4 + -2. Solve -20 = 2*h - 4*j, -10 = -3*h - 2*j - y*j for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c - 4*i + 151 + 519 = 0, 3*c + 4*i - 394 = 0. Suppose 7*b + c = 432. Let w = b - 8. What is the units digit of w?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find c, given that 49*c + 15*c**3 + 31*c**3 + 11*c**4 + 34*c + 90*c**2 + 27 + c**5 - 2*c = 0.\nAnswer: -3, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -48 = -5*w - v - 23, -v = -5 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 f, 1 a, and 1 k when three letters picked without replacement from aaigafiajjkiaga.\nAnswer: 6\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -2.4 + 0.4. Let x = 0.61 + -1.91. Which is smaller: x or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*v**2 - 2*v**2 + 6*v**2 + 6*v**2.\nAnswer: 6*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 4\/283, 21, -2\/3, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -163*b**2 + 163*b**2 - 13719*b**3 + 14486*b**3.\nAnswer: 767*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange c**4 + 6*c**2 + 1 - 2*c**2 - 2*c**2 + c**4 to a + l*c**4 + o*c**3 + d*c + x*c**2 and give l.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 73548390053 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from zzgegzzggzmegzgzgggz. What is prob of sequence gem?\nAnswer: 1\/380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-2)\/8)\/(-1*56\/(-64)). What is the smallest value in r, -69, 4?\nAnswer: -69","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 10\/5 - (-5)\/(-2). What is the third biggest value in h, 1, -2\/13?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*g + 2*g + 0*g)*(4 + 0 - 2) + g + 4 - 4.\nAnswer: 5*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 141268 is divided by 2945.\nAnswer: 2853","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = -123*y**2 - 74*y**2 + 16 + 308*y**2 - 11*y - y**3 - 120*y**2. Calculate v(-7).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 81 and 143019?\nAnswer: 429057","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = d**2 - 10*d - 17. Let s be c(12). Let b be (-42)\/12*((-20)\/s + 2). Solve b*w = 5 + 1 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 31*u - 139 = 140. Calculate the smallest common multiple of u and 339.\nAnswer: 1017","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1965226743?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 545*y**5 + y**2*z - 2*y*z + 3*y + 2*z + 33 wrt y?\nAnswer: 10900*y**3 + 2*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*q**2 + 14*q**2 - 2*q**2 + 0*q**2.\nAnswer: 8*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2 by -2570.\nAnswer: 1\/1285","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 53381 to the nearest integer?\nAnswer: 231","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 45 and 1456905?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.13? (a) 0 (b) -1\/3 (c) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + (sqrt(1008) + 0)*-6)**2.\nAnswer: -144*sqrt(7) + 36289","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 20 - 14. Let d(q) = -3*q**3 + 3*q**2 + 2*q - 2. Let n(l) = -16*l**3 + 16*l**2 + 10*l - 11. Let f(h) = j*n(h) - 33*d(h). Factor f(x).\nAnswer: 3*x*(x - 2)*(x + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 53\/((-77910)\/270)*-21.\nAnswer: 27\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -10*p**5 - 10*p**5 + 6*p**5 + (3 + 1 - 2)*(-p**5 + 5*p**5 - 3*p**5) - 663*p**4 + 21*p**5 + 663*p**4.\nAnswer: 9*p**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 111 + -74. Let o = -39 + u. Let d(z) = 2*z**2 + 6*z + 6. Let i be d(o). Solve 0 = -3*n - i + 11 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify s**1*s**(2\/23)\/s*(s**4*s)\/s*s**(-2\/3)*s*s assuming s is positive.\nAnswer: s**(374\/69)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Does 97 divide 25562?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 20111 - -102102102?\nAnswer: 102122220","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((i\/i**(3\/8))\/i)\/i*i**(2\/13))\/(i**(-2\/7)\/(i*i*i\/(i*i\/i**(-2\/17)))) assuming i is positive.\nAnswer: i**(-657\/12376)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (36\/(-24))\/(((-9)\/32)\/3). What is the highest common factor of 56 and c?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*w**3\/13 + 114667536*w**2\/13 + 1643580476538912*w\/13.\nAnswer: 2*w*(w + 28666884)**2\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 416 minutes before 9:55 PM?\nAnswer: 2:59 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -9943338*c**3 - 3*c**2*z - 393205059*z with respect to c.\nAnswer: -29830014*c**2 - 6*c*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 37 (base 9) in base 10?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -2.6 + -0.4. Let s = 259.005 + -256. Let d = s + v. What is d rounded to three decimal places?\nAnswer: 0.005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -11, -21, 4, -1, 5 in increasing order.\nAnswer: -21, -11, -1, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (0 - -1)\/((-38)\/(-62358))?\nAnswer: 3, 547","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p = -0*p + 12. Let x be (-40)\/p*(-24)\/16. Let k be (0\/(-1))\/(-2) + 1. Solve -3*m + 4*t + x = 0, -k - 1 = 3*m - t for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-5 + sqrt(243) + 0 + (sqrt(243) - (-3*sqrt(243)*-2 + sqrt(243))))*-6 + 1)**2.\nAnswer: 16740*sqrt(3) + 219661","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.3, 3450, -2\/1007, -27.\nAnswer: -27, -0.3, -2\/1007, 3450","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1.667 in -2\/9, -7, -3\/10, 4?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 403, 806, 1209, 1612, 2015?\n\"Answer: 403*h","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -2442000 (base 5) in base 6?\nAnswer: -555140","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -257 - -260. Solve t + 27 = -5*k, 6*t + y*k = 5*t - 17 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 12, 3 in decreasing order.\nAnswer: 12, 5, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 473*n - 1394*n + 531*n + 478*n.\nAnswer: 88*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 1 (b) -46 (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence iyb when three letters picked without replacement from byxxyiyybi?\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: (-489*150\/3060 + 24)*4\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6213606.\nAnswer: 2, 3, 7, 337, 439","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 97940 a multiple of 166?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sum -0.6604 and 2489453429.\nAnswer: 2489453428.3396","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 10\/4 - (-3)\/6. Suppose 2*p = -f + 24, -o*f + 0*f + p = -58. Suppose 20 = 4*x, 2*z - f = -5*x + 7. What is the units digit of z?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 26206070 is divided by 340338.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6104.\nAnswer: 2, 7, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 1410815063 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 100 + -96. Is (-6)\/((-12)\/i) - 4847\/(-1) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -38*j = 448 - 372 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 608186?\nAnswer: 2, 71, 4283","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 10746, 21552, 32422, 43356?\nAnswer: 54354","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1882, 2310, 2692, 3004, 3222?\nAnswer: 3322","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -321 = 3*a - 3*f, 0 = 5*a + 3*f + 508 + 27. Are a and -107 non-equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.4, -744, -2718 in ascending order.\nAnswer: -2718, -744, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 179891 and 59.\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 10, v: 10}. Give prob of picking 2 g.\nAnswer: 9\/38","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) be the first derivative of 1\/5*a**5 + 107 - 27\/2*a**2 + 1\/3*a**3 + 7\/4*a**4 + 18*a. Determine b so that q(b) = 0.\nAnswer: -6, -3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.426 - -0.8?\nAnswer: -0.626","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {e: 1, l: 1, q: 2, a: 2, i: 1}. What is prob of sequence iaq?\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 57 = 4*h + 61 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -313133 (base 4) in base 6?\nAnswer: -24235","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 10815?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -135, -104, -53, 18, 109, 220, 351?\nAnswer: 502","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 149 minutes before 3:58 AM?\nAnswer: 1:29 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -2 - -1. Let c = -0.017 - -0.917. Let u = -4573\/15 + 305. What is the closest to v in u, c, -5?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 4409481 by 1151.\nAnswer: 3831","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(-6*(2*sqrt(52) + sqrt(52)))\/(sqrt(16)\/(sqrt(8)\/sqrt(2))).\nAnswer: 90*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 2, m: 6, j: 9}. Give prob of sequence jj.\nAnswer: 9\/34","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 504306?\nAnswer: 2, 3, 11, 283","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sum 0.009 and -10435478938366.\nAnswer: -10435478938365.991","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -8c07 - 17ab?\nAnswer: -a4b3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -111 - -173. What is the remainder when u\/4 + -3 - (-3)\/(-6) is divided by 10?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = -2*d - 4. Let u be p(-4). Let t(b) = 1 - 3 + u - b. What are the prime factors of t(-6)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -4322333020 (base 5) to base 14.\nAnswer: -1310a90","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -h*p**4 + 2*h*p**3 + 51*h*p**2 - 171*h + 305*p**4 + p**3 wrt p?\nAnswer: -24*h*p + 12*h + 7320*p + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1\/56107 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in one tenth of a milligram?\nAnswer: 100000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) be the third derivative of 0*x - 1\/60*x**6 - 1\/6*x**3 + 3*x**2 - 1\/20*x**5 - 1\/24*x**4 + 0. Determine u(-2).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -31, 2 in ascending order.\nAnswer: -31, -5, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4\/7, 0.063, 0.4, -0.04, 2 in increasing order.\nAnswer: -0.04, 0.063, 0.4, 4\/7, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-18)\/(-15))\/((-9)\/(-30)). Solve 4 = 2*a - 4*o, a + a - o - c = 0 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -10 (base 11) to base 15.\nAnswer: -b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from tttlapaattprp. Give prob of sequence tplr.\nAnswer: 1\/1144","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -98 + 188. Suppose r = -r + n. Does 15 divide r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.93? (a) -3\/4 (b) 4 (c) -17 (d) 5 (e) 2\/41\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4 - 10*i**3 - 10*i**3 + 4 + 29*i**3.\nAnswer: 9*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 6}. Give prob of picking 2 t.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = k**2 + 7*k - 1. Let d(u) = 9*u**2 + 116*u - 333. Let a(x) = -3*d(x) + 24*j(x). Solve a(n) = 0 for n.\nAnswer: -65, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-4 - 58)*((6 - (-710)\/(-20)) + -1). What is the greatest common factor of l and 671?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*t**3 + 24*t**2 - 216*t.\nAnswer: 2*t*(t - 6)*(t + 18)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {s: 1, i: 1, e: 5, o: 2, d: 1}. What is prob of sequence ieoo?\nAnswer: 1\/504","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is o in -49*o**5 + 861*o**4 - 2538*o**3 + 1244*o**2 - 168*o = 0?\nAnswer: 0, 2\/7, 3, 14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 140*k - 194*k + 266*k to the form b*k + x and give b.\nAnswer: 212","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 7 and 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2786*d = 2787*d - g, -4*d + 4 - 4 = 4*g for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) be the first derivative of w**6\/15 - w**4\/3 + w**2\/2 + 4. Let o(q) be the second derivative of h(q). Find the second derivative of o(v) wrt v.\nAnswer: 48*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 423 divided by -232?\nAnswer: -423\/232","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((0*t + t + 0*t)*(5 - 1 - 3) - 2*t - 2 + 2)*(-2*t**2 + 0*t**2 + 3*t**2).\nAnswer: -t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = -4*u**3. Let v(s) = 16 - 31 - 35 - 2*s. Let i be v(-21). Let q(l) = -6*l**3. Determine i*w(g) + 5*q(g).\nAnswer: 2*g**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:00 PM and 7:20 PM?\nAnswer: 260","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = 2*p - 1. Let l be k(7). Suppose 5*y = 3 - l. What is the units digit of 7 + (y - 1) + 2?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4)\/36*1782\/36.\nAnswer: -11\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = 12*p**2 + 3*p + 0*p - 11*p**2 - 7*p - 3. Let z(b) = 2*b**2 - 9*b + 14. Let j be z(2). Determine l(j).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -46*t + 47 = 1 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -67286690*n**3 + 1438*n**2 + 62463*n?\nAnswer: -403720140","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 27\/756 + (-32904)\/(-672)\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = l**3 + 40*l**2 + 27. Let q be t(-40). What is the greatest common factor of 261 and q?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 55 and 110?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Determine u, given that 3*u**2 + 23013*u - 161238 = 0.\nAnswer: -7678, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 710517 - -443?\nAnswer: 710960","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1 + (-236)\/242)\/((-14328)\/(-26268)).\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 219733512?\nAnswer: 2, 3, 313, 29251","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2*p*y**4 - p*y**2 + p*y - 68*y**4 - 169*y**2 wrt y.\nAnswer: -48*p*y - 1632*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand 15*y**2 - 15*y**2 - 7*y**3 + (4 - 6 - 1)*(2*y - 2*y + y)*(-3*y**2 + 3*y**2 - 2*y**2).\nAnswer: -y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 587.15 - 618. Let d = -30 - i. What is d rounded to 1 dp?\nAnswer: 0.9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) be the first derivative of 4 - 1\/2*s**2 + s. Calculate i(-5).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 4249666.96 and -1556?\nAnswer: 4251222.96","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 47 and 29093.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 399 minutes before 5:14 PM?\nAnswer: 10:35 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in seven quarters of a micrometer?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ws when two letters picked without replacement from wwsuuswssusws?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find q, given that 14\/11*q**2 + 0 - 2\/11*q**5 - 14\/11*q**4 + 2\/11*q**3 + 0*q = 0.\nAnswer: -7, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.1 - 199022362\nAnswer: -199022361.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*q**3 - 8263 + 2*q**3 + 4128 - q**3 + 4135.\nAnswer: q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k - 15 = 0, 4*k - k = -4*g + 29. Find the third derivative of 4*z**5 - z**2 + 2*z**2 + 4*z**5 - z**g wrt z.\nAnswer: 420*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 1\/5 of a litre?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (6\/40)\/(6\/(-8)*12\/3)?\nAnswer: -1\/20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -6, -7402071 in increasing order.\nAnswer: -7402071, -6, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is thirty-four fifths of a millennium in months?\nAnswer: 81600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -114 - -128. Let d(y) = -133567*y - 62. Let o be d(t). Round o to the nearest 100000.\nAnswer: -1900000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -0.1069 and -257.\nAnswer: -257.1069","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -45, -8, 2 in decreasing order.\nAnswer: 2, -2, -8, -45","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) be the third derivative of 23*j**6\/120 + j**4\/3 - 25*j**2. What is the second derivative of k(v) wrt v?\nAnswer: 138*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = -4*m**2. Let l(a) = a**2 - 3*a - 25. Determine l(n(f)).\nAnswer: 16*f**4 + 12*f**2 - 25","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -47*o - 32*o - 12 + 0.\nAnswer: -79*o - 12","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -7.96398 from 0.2223.\nAnswer: 8.18628","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 337 = 4*d + 5*q, d - 2*q + 0*q = 94. Let t = 15 - 1. Let w = -6 + t. What is the greatest common factor of w and d?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -2323 + 4302. Is q prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -2023 + 2033. What is the least common multiple of k and 10114?\nAnswer: 50570","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -2 - -7. Suppose 0*s - j*s + 15 = 0. Put s, 2, -4 in ascending order.\nAnswer: -4, 2, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 245655178 to the power of 1\/3, to the nearest integer?\nAnswer: 626","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = 20*p**2 - 10*p + 4. Let a(h) = -18*h**2 + 9*h - 3. Give -6*a(f) - 5*b(f).\nAnswer: 8*f**2 - 4*f - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 34\/30 - (-1 - -2). Let w = -179.7 - -180. Let k(s) = s**2 + s - 8. Let j be k(-3). Which is the nearest to w? (a) r (b) j (c) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 434*f + 171105 + 466155 = 449*f. List the prime factors of f.\nAnswer: 2, 13, 19, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.0278669562 * -0.2.\nAnswer: 0.00557339124","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.156 + -2.924. Let g = 0.08 + x. What is the nearest to 0.1 in g, -1\/12, 5?\nAnswer: -1\/12","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-159)\/(-6)*(-2)\/21. Let p = -13\/7 - m. Let c = -0.1 - -0.1. Is c less than or equal to p?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 10\/13 (b) 462 (c) -1\/20\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) be the second derivative of -c**5\/40 + 5*c**4\/8 + c**3\/12 - 15*c**2\/4 + 203*c. Suppose o(v) = 0. What is v?\nAnswer: -1, 1, 15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:24 PM and 11:19 PM?\nAnswer: 235","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(11)*1)**2 + -2 - (sqrt(44) + -1)) + sqrt(99) + -2 + sqrt(44)\/(sqrt(4)*-2) + -2.\nAnswer: sqrt(11)\/2 + 6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 9953\/18 - 552. What is the common denominator of x and (5\/15)\/(30\/(-243))?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 165 and 42141?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = -2*s + 19. What is the lowest common multiple of w(7) and 11?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + sqrt(72)*-1 - sqrt(72)) + -2 - ((4 + sqrt(2) + sqrt(2)*2)*3 + 4)**2.\nAnswer: -300*sqrt(2) - 421","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = p**3 - 10*p**2 - 2*p - 24. Let q be n(11). Let k = 79 - q. Suppose 4 + 1 = 5*x. Solve x = -5*u - k for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*f + 395 + 161 + 404 = 0. Calculate the greatest common divisor of 321 and f.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -23745039 divided by 765969.\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = x**2 + 9. Let c(m) = 996*m**2 - 30. What is c(v(q))?\nAnswer: 996*q**4 + 17928*q**2 + 80646","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify v**(1\/6)\/v*v**8*v*(v*(v\/(v*v*(v*v*v**(2\/3)*v)\/v))\/v*v)**(3\/5) assuming v is positive.\nAnswer: v**(197\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1051 + -1050.7. Let h = 10 - 9. Which is the closest to 2? (a) j (b) 1\/5 (c) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*v = 5*l - 5, 2*l + 1 = 5*v - 0 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -4 in -14674, 6.4, -1\/4, 3?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 15 - 7 + 28164298*p - 8 - 28164288*p.\nAnswer: 10*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 13 divided by 1894\nAnswer: 13\/1894","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 381710 and 48461.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*sqrt(396)\/sqrt(4)*5.\nAnswer: -75*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -4261019*x**4 + x - 24405878 wrt x?\nAnswer: -17044076*x**3 + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Work out -342.322 * 2.\nAnswer: -684.644","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in seven halves of a decade?\nAnswer: 420","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 2, b: 2}. What is prob of sequence kk?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 540 = 8*w + 2*w. What is the least common multiple of 9 and w?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from nddin. Give prob of picking 1 d, 1 i, and 2 n.\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = -17*h**3 - 7*h**2 + 5*h - 7. Let o(q) = -4 - 4*q**2 - 1890*q - 11*q**3 + 2*q**3 + 1893*q. Determine -7*o(b) + 4*s(b).\nAnswer: -5*b**3 - b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = -23*f**2 + 45*f + 33. Let b(c) = -8*c**2 + 16*c + 11. What is 17*b(o) - 6*q(o)?\nAnswer: 2*o**2 + 2*o - 11","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-o + 4*o + 3*o)*(0 + 1 - 4)*((-5*o + 3*o + 0*o)*(-15 - 5*o + 15) + 3*o**2 + 4*o**2 - 4*o**2).\nAnswer: -234*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(2\/3)*z*z**(-1\/13)\/z*z)\/(z\/(z*z**(12\/7)\/z)*z**6) assuming z is positive.\nAnswer: z**(-1009\/273)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7203*j**4 - 452269755*j**3 - 415356426*j**2 + 36167052*j - 753480 = 0 for j.\nAnswer: -1, 2\/49, 62790","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -969*x + 12 = -971*x + 3*w, 0 = -4*x + 3*w - 18 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 625231 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = -z**3 - 13*z**2 - 14*z. Determine d(-11).\nAnswer: -88","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hch when three letters picked without replacement from {c: 2, j: 5, h: 8}.\nAnswer: 8\/195","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 232235860 a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 2, -1597, 2\/10681?\nAnswer: 2\/10681","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -7*b**3\/3 - 1993*b**2\/3 + 190*b.\nAnswer: -b*(b + 285)*(7*b - 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = -h**3 - 65*h**2 - 64*h + 5. Calculate r(-64).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find u, given that -55*u**5 + 470*u**4 + 73045*u**3 + 176320*u**2 + 65100*u = 0.\nAnswer: -31, -2, -5\/11, 0, 42","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 106725 divided by 3\nAnswer: 35575","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -7 + 4. Let w = 35 + -37. Let g = w - m. What is the least common multiple of g and 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 17064983 to the power of 1\/9, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -7 (base 11) to base 15\nAnswer: -7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(-7\/3)*p)\/p*(p**15\/p)\/p assuming p is positive.\nAnswer: p**(32\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = 2*g + 2. Let y(d) = -d - 2. Suppose 3*n + 9 = -2*l, 0 = 2*l - 476*n + 473*n + 3. Let i = 6 - 10. What is i*y(a) + l*b(a)?\nAnswer: -2*a + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 5 - 5. Let u be p + (-12 - (-3)\/(-3)). Which is smaller: u or -12?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 140004411 - -1104?\nAnswer: 140011020","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = -d. Suppose -9*l = -28*l + 266. Suppose -l + 18 = -4*o. Give c(o).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -11 - 220?\nAnswer: -231","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is (-327)\/(-436)*-36*(-3)\/6*2\/15?\nAnswer: 9\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 3 - -5. Let n = b + -4. What is the smallest value in 3, n, -2\/5?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*t**2 + 3*t**2 - 2*t**4 + (0*t + 5*t - 4*t)*(209*t**3 + 145 - 145).\nAnswer: 207*t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence llqq when four letters picked without replacement from {q: 4, l: 14}?\nAnswer: 91\/3060","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 0.221, 2\/9, -2\/7, -2\/3 in descending order.\nAnswer: 2, 2\/9, 0.221, -2\/7, -2\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 16181440 divided by -147104\nAnswer: -110","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 0.1*-0.67\nAnswer: -0.067","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -64 - (26 + -24 + -15 + 22)\nAnswer: -73","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*m = 3*m + 36. Suppose -3*k = -m*k. Suppose -5*j - v + 71 = k, 3*v = j + 4*j - 87. Calculate the greatest common divisor of j and 5.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 168\/48*(-4)\/(-7). Let o be (2 + (-14)\/6)\/(p\/(-12)). Let 3666*u**5 + 2*u**3 - 3668*u**5 + 0*u**2 - 4*u**o + 4*u**4 = 0. Calculate u.\nAnswer: -1, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 23.9 - 25. Let l = n - -1.2. Which is bigger: l or -0.2?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = -3*g**3 + 2*g**2 + 3*g. Let n be 2\/12 + (-10)\/(-12). Let f(m) = m. Calculate n*y(c) - 3*f(c).\nAnswer: -3*c**3 + 2*c**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -12 - -17. Let z(v) = 1 - v - y*v + 0*v + 3*v. Determine z(1).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1959266641 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express (-37 - 32 - 2*x + 22)*(-1 + 0 + 3)*(-2*x + 2 - 2)*(0 - 4 + 5) in the form i*x + h + u*x**2 and give h.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -15*f**3 - 4*f**2 - 5789*f + 11751*f - 5962*f + 4*f**2.\nAnswer: -15*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 215972 to the power of 1\/2, to the nearest integer?\nAnswer: 465","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h - h + 2*x = 32, h = 4*x + 6. Let i = h + 24. List the prime factors of i.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.19 + 0.18. Let x = o - 0.09. Which is the third biggest value? (a) x (b) 3 (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u - 81 = -3*p - 3*u, u = -4*p + 95. Let s = p - 11. Solve 0*i = 3*i - s for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-2)\/(-12))\/(146\/657).\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-24)\/(-20) + 0)*60\/54. Let w = -4.33 - -0.39. Let i = -0.06 + w. What is the third smallest value in i, -7, 0, u?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -144 + 261. Let i = 116.9999919 - a. Round i to six decimal places.\nAnswer: -0.000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2)\/(-12) + 403\/(-1209).\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*n + 2*s = -2*s, 309*n - 304*n + 3*s = -55 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does 125 divide 45147?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19 = -2*l + 3*u, u = -l + 1 - 4. Let j(r) = 9*r - 1. Let w be j(l). Let o = w + -10. List the prime factors of o.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 16154b (base 15) to base 8\nAnswer: 4045260","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(637) + 4 - ((sqrt(104)*-5 - sqrt(104)) + sqrt(104) + sqrt(104))\/sqrt(8))**2*-3*-1.\nAnswer: 264*sqrt(13) + 4767","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find b such that 2*b**3\/9 - 57110*b**2\/3 - 3314062*b\/3 - 144186086\/9 = 0.\nAnswer: -29, 85723","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -31 + 27. Let n = -8.3 + 0.3. Let b = n + 5. What is the second smallest value in -1, b, g?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -363 + 3269\/9. Which is the fourth smallest value? (a) -1\/6 (b) u (c) 0.5 (d) 17\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 24 = 2*u + 11*m - 7*m, 8 = 2*m for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express (4 + 0 - 1)*(86*z + 7*z**2 - 86*z) - 2*z**2 + z**2 + 0*z**2 as k + v*z**2 + t*z and give v.\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 2\/6 + 8\/3. Let r = -12 + 12. Let g = z + r. What is the units digit of g?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.06 + 10.94. Let g = -122 + 188.5. Let s = -67 + g. Which is the nearest to q? (a) s (b) 3 (c) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/7, 1\/5016, 2\/7 in decreasing order.\nAnswer: 2\/7, 1\/5016, -1\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: (-1 + -2)\/3*2\/(-6)\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 14 by -1.\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f + 86362 = -204*v + 209*v, 5*f - 51858 = -3*v. What is the tens digit of v?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.5749141725 to one decimal place.\nAnswer: -0.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-2)\/(72\/(-27)))\/(63\/24).\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = a**2 + 11927*a + 166786. What is z(-14)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 40 = 5*u + 8*p, 4*u + 647*p - 10 = 645*p for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ii when two letters picked without replacement from kikiiiiikiiikkkkkk?\nAnswer: 4\/17","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 149010, 149009, 149008, 149007?\nAnswer: 149006","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z + 6 + 2 = 0. Suppose -z*v + 17 = 2*x - 17, -2*x = -2*v - 46. Suppose -x = 2*m - 4*m. Solve -3*r = -n - 4 - 3, -m = -4*r + n for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 77778.46 grams in nanograms?\nAnswer: 77778460000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 497 - 499. Let o be (2\/(-4))\/(u\/24). Calculate the greatest common factor of o and 102.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3021108 is divided by 19?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_test"},"subset":"dm_maths"} +{"text":"Question: Determine w, given that -w**3 + 519*w**2 + 25542*w + 253120 = 0.\nAnswer: -32, -14, 565","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 197 a factor of 541947?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -9? (a) 13 (b) 608\/35 (c) 1 (d) 0.3 (e) 2\/7\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 64*v + 5 = 65*v. Solve 3*f = v*f for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q - 621 = 24. What is the greatest common factor of 43 and q?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = 2*q + 10 - 25 + 8 - 3*q + q**3. Let r(c) = 0*c + 4*c - 3*c + 1. Let m be r(-1). Give x(m).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 39*z + 116*z + 27893175 - 27886975 = 0 for z.\nAnswer: -40","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*o + 6 = -l, 415*l - 4*o = 419*l for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u - 2*u = -45. Let a = u - -20. What is the derivative of 5 - 5 + a*o**2 - 5 wrt o?\nAnswer: 10*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10948339282 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) be the third derivative of -b**9\/18 - 5*b**8\/336 - 518*b**5\/15 - 685*b**2. Find the third derivative of m(l) wrt l.\nAnswer: -3360*l**3 - 300*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 556 minutes after 7:11 PM?\nAnswer: 4:27 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1300 or -1301?\nAnswer: -1300","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -20 - 0 - (0 - 3). Let n(k) = -8*k**2 + 2*k - 2. Let t(p) = -23*p**2 + 6*p - 6. Calculate g*n(q) + 6*t(q).\nAnswer: -2*q**2 + 2*q - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = 59*u + 33. Let v be a(5). Solve -2*p = v - 324 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 4237\/4 + -1053. Let n = b - 79\/12. What is the closest to n in 5, -5, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d**42*d)\/(d**(2\/11)\/d))\/(d**(5\/11)*d**36) assuming d is positive.\nAnswer: d**(81\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = -25*v + 9. Calculate o(-5).\nAnswer: 134","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 2\/(-5 - 7\/(-1)). Sort 47, 0, -5, b in descending order.\nAnswer: 47, b, 0, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -926, -1685, -2422, -3125, -3782, -4381, -4910, -5357?\n\"Answer: 2*d**3 - d**2 - 770*d - 157","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 8772, 8735, 8700, 8667, 8636, 8607?\nAnswer: 8580","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*u - 26*u + 374 = 0. Calculate the remainder when u is divided by 6.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 2*z**3 - 1)*(-1 + 2 - 6).\nAnswer: -10*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:50 AM and 1:32 PM?\nAnswer: 462","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -117 = -3*k + 6. Let j = 79 - k. Is 19 a factor of j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 108.42956 + -0.15256. Let d = o - -0.223. Round d to zero decimal places.\nAnswer: 109","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 68665 to the power of 1\/3, to the nearest integer?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 3, b: 3, v: 2}. What is prob of picking 1 p and 1 v?\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*v**3 + v**3 + v**3)*(-23280346 - 1732*v + 23280346 + (-1 - 3 + 2)*(3*v + 0*v - 2*v)) in the form a*v + z*v**3 + h*v**2 + k*v**4 + o and give k.\nAnswer: -3468","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 102545518 to the nearest integer?\nAnswer: 468","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -91.4 + 91.17. What is the closest to 7 in g, 2, 5, -1?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -z - 379 - 382 - 403 - 388 + 1552.\nAnswer: -z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -61679\/15 - -4115. Let h = w - 12\/5. Are h and 4\/11 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 2 and 4039.\nAnswer: 8078","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -f**4 + 8499*f**3 + 2*f**2 + 54047*f wrt f.\nAnswer: -12*f**2 + 50994*f + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = y - 6. Let l be i(6). Suppose -1674 - 1746 = -10*a. Let g = a - 8895\/26. Which is bigger: g or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (2 - 1)*(-52 + 7010\/135)?\nAnswer: -2\/27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.1 - -0.9. Let h = -4 + u. Let x = -0.9 - -0.5. Which is the second biggest value? (a) 1\/8 (b) h (c) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 20 - 24. Let p be n\/(-8) - 11\/2. What is the units digit of (9\/p)\/((-9)\/60)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1321*f - 1829*f - 221*f**2 + 226*f**2 to the form h*f + c + l*f**2 and give h.\nAnswer: -508","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = -l**3 + l**2 - l + 22. Let d be o(0). Suppose 0 = 6*q - 3*q - y - d, -4*q + 3*y + 36 = 0. Is q a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 20467 or 28678?\nAnswer: 28678","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 354 divided by -6\nAnswer: -59","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 - (13 + (-17 - -18)).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-15)\/6*(-12)\/10. Let f be y + -2 + 0 + 4. Suppose 5*c - 2*g = 4318 + 4359, f*c - 8670 = -5*g. Is c prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.096 + 0.09599755. Round z to 6 decimal places.\nAnswer: -0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -757, -6138, -20745, -49192, -96093, -166062, -263713, -393660?\nAnswer: -560517","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 128 - 77. Let c = -51.44 + y. Let m = 0.95 + c. What is m rounded to 1 decimal place?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 152670702 is divided by 33?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*b - 270 = -3*b. Suppose 0 = -4*o - 4*o + 144. What is the greatest common divisor of b and o?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 80951 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1280827630 divided by 5.\nAnswer: 256165526","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*-2*sqrt(68)*3)\/(sqrt(36)\/((sqrt(36)*2)\/sqrt(4))).\nAnswer: 24*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = -r + 1. Suppose -48 = -5*o + 2*z + 132, -3*z + 36 = o. Suppose -n = -3*n - o. Let y(x) = 5*x - 4. What is n*c(f) - 4*y(f)?\nAnswer: -2*f - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = z**2 + 6*z + 7. Let p be h(-5). Let c(q) = 6 - 11 - p + q + 2. Let x be c(4). Let u(v) = 8*v**3 - v**2 - 2*v - 1. What is u(x)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 6 + -4. Suppose -k*m - 6 = -4*m. Let y = -94 - -93.7. Put 1, m, y in increasing order.\nAnswer: y, 1, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = k. Let h(v) = v. Let j(t) = -h(t) - 5*l(t). Suppose 6*b + 6*b - 24 = 0. Let x(i) = -3*i**b + 2586*i - 2586*i. Determine x(j(w)).\nAnswer: -108*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = 21*i. Let h be 15\/(-10)*(-4)\/3. Suppose -1 = -h*j - 9, -4*l + 5*j + 24 = 0. What is the units digit of a(l)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 2, -2\/3, 2\/9, -0.3, -301, 1\/7, -178?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 164357.\nAnswer: 164357","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 41.9 + -42. Which is smaller: p or 1.4?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 257016 divided by 222?\nAnswer: 42836\/37","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -19566, -39133, -58698, -78261, -97822?\n\"Answer: k**2 - 19570*k + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = -129*j**3 - 33*j**2 + 33*j - 48. Let n(l) = 8*l**3 + 2*l**2 - 2*l + 3. Determine -2*k(v) - 33*n(v).\nAnswer: -6*v**3 - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a*a**1*a*a)**(-7\/4)\/((a**(6\/7)*a*a*a)\/(a\/a**(-10))))**(-39) assuming a is positive.\nAnswer: a**(-39\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {z: 4, y: 6, x: 2, r: 3}. What is prob of picking 1 x, 1 r, and 1 z?\nAnswer: 24\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Total of -0.0161 and 35439373.98.\nAnswer: 35439373.9639","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -11, -60, -187, -428, -819?\n\"Answer: -6*g**3 - 3*g**2 + 2*g - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:14 PM and 12:07 AM?\nAnswer: 353","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 5 + 175\/15*-3. Let p(q) = q + 45. Let g be p(w). Solve -g = -m + 3*u, -4*u - 16 = m + 4 for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -30551617 by -6.\nAnswer: 30551617\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = -4*f + 5. Let l(q) = -9*q + 10. Calculate -6*l(r) + 13*s(r).\nAnswer: 2*r + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor d**2 + 11*d - 126.\nAnswer: (d - 7)*(d + 18)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3061797 is divided by 3061796.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*p**2 + 8*p**2 + 108 - 6*p**2 - 654 - 2*p**2 in the form j*p**2 + g + w*p and give g.\nAnswer: -546","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.2621703592 to 2 dps.\nAnswer: -0.26","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (w + w - 4*w)*(-264 - 107*w**2 + 264)*(-3 - 2 + 3 + (0 + 3 - 1)*(1 + 0 - 3) - 2 - 1 + 5) to the form m + q*w**2 + k*w**3 + u*w and give k.\nAnswer: -856","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-108)\/(-6)*24\/3024.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 165038 and 179.\nAnswer: 179","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is (2 - 6) + (-3)\/(-2)*4264\/246?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -53 - -57. Suppose -2 - 14 = -z*l. Solve -4 - 4 = l*u for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 62437 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*s - 22*s**3 - 2*s + 35*s**3.\nAnswer: 13*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -2.492 from -0.5.\nAnswer: 1.992","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = 15*x**3 + 2*x**2 + x + 1. Let u be k(-2). Let c = u - -207. Is c composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5410956803 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*r = -5*l - r + 8, -8 = -l + 2*r for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide 116840?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = -3*g**3 + 2*g**2 - g - 4. What is x(3)?\nAnswer: -70","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -485 - -520. Let u = 34.999946 - f. Round u to 5 dps.\nAnswer: -0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4665 + 4750 = -17*k for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:02 PM and 5:47 AM?\nAnswer: 705","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 40656 and 44?\nAnswer: 40656","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11 + 275*i - 130*i - 144*i.\nAnswer: i + 11","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 9*m - 321*m - 3*m**2 + 2*m**2 to y*m**2 + i + r*m and give y.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a - 218 = -2*s - 3*s, -3*s = a - 51. What is the remainder when 395 is divided by a?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(4752) + sqrt(4752)*2)\/(3*(sqrt(3) - sqrt(27)))*1.\nAnswer: -6*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 28.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 123.81 and 0.132199?\nAnswer: 16.36755819","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 71888988 divided by 61\nAnswer: 1178508","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j - 3*h + 5 = 0, -25 = -0*h - 5*h. Solve 3*f + 8 = 4*c, -j*f + 39 + 1 = 4*c for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 2\/24 - (-2 - 1)\/12. Let r = -0.2 + 0.4. What is the third smallest value in r, k, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) be the first derivative of r**3\/3 - 10*r - 30. Let l(b) be the first derivative of y(b). Let q be l(2). Sort -2, q, 1\/3 in descending order.\nAnswer: q, 1\/3, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1154.859 - -775.8937. Let a = g - -379. What is a rounded to 2 dps?\nAnswer: 0.03","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 573 - 592 = 3*r - 2*g, 0 = -10*r + 4*g - 58 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 12*d + 3 - 4 - 27*d - 2*d**3 + 3*d**4 + d**2 + 12*d to f*d**3 + v*d + j*d**4 + c*d**2 + k and give v.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -289 + 289 + 5*a.\nAnswer: 5*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -19934548*r**3 + 7408*r**2 - r - 341 wrt r?\nAnswer: -119607288","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 3\/2 greater than -28336102?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -6.294 - 3.701. What is z rounded to 1 decimal place?\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -0.3, -2, 0.499, 0.03?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8 = -5*z + 4*l - 4, -3*z - 3*l = 3 for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Divide 60586 by -2.\nAnswer: -30293","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*p + 20 = -3*g, 2*p - 5*g - 14 = 13 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = u - 23. Suppose -65*y = -58*y - 147. Let z be h(y). Sort 2, z, 0.06 in increasing order.\nAnswer: z, 0.06, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-8)\/12)\/(2\/(-15)). Let a = 18 - -22. Suppose 0*v = v - a. Calculate the greatest common factor of v and p.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 428 + -393. Suppose -2*s + o = 5*s. Let j = 4 - 8. What is the third biggest value in s, 6, -3, j?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 28 and 177828.\nAnswer: 177828","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 21*f**4 - 2085*f**3 + 6684*f**2 - 5772*f + 1152 = 0.\nAnswer: 2\/7, 1, 2, 96","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 203333\/838 or 244?\nAnswer: 244","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = 3*y**2 - 1. Let f be b(-1). Let l = 14 - 8. Let s = -9 + l. Sort 3, s, f in decreasing order.\nAnswer: 3, f, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.9 and 64.455.\nAnswer: 58.0095","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.07, 3, 1\/2, 1957.038 in decreasing order.\nAnswer: 1957.038, 3, 1\/2, 0.07","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -3 - -7. Let m(u) = -z - u**2 + 0 + 4. Let j(l) = 4*l**2 - 2*l**2 - l**2. Calculate m(j(t)).\nAnswer: -t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or -3\/41953475?\nAnswer: -3\/41953475","meta":{"dup_signals":{},"source":"comparison__pair_test"},"subset":"dm_maths"} +{"text":"Question: Solve -17067 = -15*i - 16737 for i.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = j**3 - 3*j**2 + 3*j - 2. Let h be l(2). Which is smaller: h or -1\/34?\nAnswer: -1\/34","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = -8*f - 6*f**2 + 4*f**2 + 3*f - 5*f. Let a(y) = 4*y**2 + 19*y. Let p(n) = -3*a(n) - 5*u(n). What is the second derivative of p(o) wrt o?\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3027*f - 11406*f - 4635*f to x + b*f and give b.\nAnswer: -19068","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -17*d - 82 + 14 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -689 divided by 9134?\nAnswer: -689\/9134","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 2b (base 16) in base 15?\nAnswer: 2d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 13\/1039431 and 83\/1602.\nAnswer: 6236586","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1364 and 15717?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = -t**2. Let h(j) = 7*j. Let x(b) = 4*b. Let f(d) = -3*h(d) + 5*x(d). Let k be f(-2). Let m be (-5)\/(5\/2) + k. Calculate c(m).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -63, -4, -5, 3, -10.\nAnswer: -63, -10, -5, -4, -3, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 515, 453, 379, 287, 171, 25?\n\"Answer: -m**3 - 55*m + 571","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2\/(-13) + (-3477)\/(-39).\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 - 208*q + 2*q**5 + 208*q)*((2 - 1 + 0)*(-5 + 1 + 2) - 4 + 2 + 0).\nAnswer: -8*q**5 + 16","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = -1044232*r**2. Let m(b) = b. Determine m(z(x)).\nAnswer: -1044232*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -2*b**3 + 13*b**2 - 26876*b - 5365577?\nAnswer: -6*b**2 + 26*b - 26876","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -674374, -1348782, -2023218, -2697694, -3372222, -4046814, -4721482?\nAnswer: -5396238","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 49 - -4?\nAnswer: 4d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(1539)*-3)**2 - (((sqrt(1539) - sqrt(1539)*-2) + 0)**2 - sqrt(1539)).\nAnswer: 9*sqrt(19) + 41553","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-154 - -158) + 24\/(-9).\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = -2475*b + 4912. Give n(2).\nAnswer: -38","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -2 (b) -762 (c) -1\/15\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 205*f - 196*f - 5*r - 180, 3*f - 60 = 6*r for f.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*d = y - 11, -4*y + 463 = 2*d + 447 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*n - 2*n - 8. Find the second derivative of 3*d + d**2 - 3*d**n + 4*d**2 wrt d.\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (7*40\/490*-3)\/(-1*(-10)\/105)?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.3 in -5, 100113, -2\/5, 1, -1?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -136 + 63?\nAnswer: -b3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (18\/15*-1)\/(5\/400*12).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2863523 + 21*r**3 - 2863523.\nAnswer: 21*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.026 + -5.226. Let p = h - -5.26. Let a = p - -0.34. What is the nearest to 0.1 in 3, a, 1\/2?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x + 4*o = 26, -2*o = -0*x - 5*x + 32. Let r be 6\/(-4) + 1 + x\/(-4). Let v(n) = -21*n + 12. Let j be v(r). Which is smaller: j or 55?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 800? (a) -639 (b) -3 (c) -2 (d) 0.06 (e) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 0.5, 0.4, 4.4, 1.55, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 1*(-6 + -2*2\/4). Let l(g) = -25*g - 13. Let o be l(t). Let y = 234 - o. List the prime factors of y.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 13021?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 41523652?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-6622)\/1892*2\/14.\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9*l**3 - 43*l**3 - 20*l**3 - 9*l**3.\nAnswer: -63*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -15*c*h**2*z**3 - c*h**2 - 6*c*h + 112*h**2*z**3 - 18*h**2 + 2*h*z**2 wrt z?\nAnswer: -90*c*h**2 + 672*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 20*y - 20*y - 3*y - 12*y**3.\nAnswer: -12*y**3 - 3*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*w - h + 16, w - 4*h - 18 = -2*h. Suppose w = 3*z - z. Suppose n + 16 = z*n. Calculate the remainder when 10 is divided by n.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = 3*b + 24. Let h be l(-7). Suppose -4*m + 5155 = -h*a, 2*m + 4*a = 521 + 2029. Is m prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gg when two letters picked without replacement from gggccgccccgg.\nAnswer: 5\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 6*(-4 + (-65)\/(-10)). Suppose 45 = 5*w + t. Let i = w + 8. Are 25\/2 and i unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y - 2*m - 12 = 0, -3*m - 21 = 2*y + y. Let h = 2 + y. Let d(n) = -n**3 - n**2 - n + 16. Let u be d(h). Solve 5*s = -5*i + 19 + u, 20 = 4*i + 2*s for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 149 is divided by 19?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 841.1024 millilitres?\nAnswer: 0.8411024","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8 = -o - 5*j - 2, -4*o + 5*j - 1 = 0 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 2.4 - 0.2. Let k = 0.276 - 2.506. Let r = a + k. Sort -0.5, r, 0 in descending order.\nAnswer: 0, r, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -7? (a) -32 (b) -4\/5 (c) 196.1 (d) 0 (e) -5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-4)\/(-3))\/(2035\/165 - 51).\nAnswer: -1\/29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -38, -4, 4, 5.\nAnswer: -38, -4, -3, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00012877626 to 7 decimal places.\nAnswer: -0.0001288","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000059148596 to 7 dps.\nAnswer: -0.0000059","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) be the second derivative of 683*q**7\/42 + 419*q**3\/6 + q**2\/2 - 101*q - 2. Find the second derivative of l(r) wrt r.\nAnswer: 13660*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1305 - -1302. Let p be 6\/(-15) - 2\/(-5). Let t be -1 - p - -2*3. What is the second biggest value in d, -0.2, t?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -2.5 - -2.5000072. Round g to six decimal places.\nAnswer: 0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 8b639 (base 13) to base 2\nAnswer: 111101111100010101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = m - 1. Let g(a) = a**2 - 2*a + 2. Let q(y) = -y**3 + 22*y**2 + 23*y + 2. Let v be q(23). Give v*g(l) + 4*d(l).\nAnswer: 2*l**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) be the third derivative of 0 - 3*l**2 + 2\/3*l**3 + 0*l + 1\/24*l**4. Let g(h) = 2*h + 1 + 4 + h - h. Determine 4*g(n) - 5*m(n).\nAnswer: 3*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2\/(((-4)\/(-319))\/((-1484)\/8162))?\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((0 + sqrt(637) + -1)*1)**2.\nAnswer: -14*sqrt(13) + 638","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 64061 to the power of 1\/9, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 103 a factor of 14186?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express (x + 2*x**3 - x)*((-2 - 3 + 3)*(x + x + 0*x) - x - 3 + 3) in the form k*x**2 + n + m*x**3 + v*x + u*x**4 and give u.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 194660894 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = -203 + b - 2*b - 6*b + 89. Let w be h(-12). Is w equal to -32?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (1 - 0)\/((-10)\/(-20)). Suppose -g*f - 3*i - 40 = 0, -5*f - 4*i = i + 90. Let x be -3 - (4 + (f - -4)). Solve 0 = a - 0 - x for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6238 to the power of 1\/2, to the nearest integer?\nAnswer: 79","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) be the first derivative of -r**2 + 4*r - 1. Let k = 160 + -249. Let o = -83 - k. What is p(o)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -12\/76285 and 57\/18469.\nAnswer: 1754555","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -1 (base 11) to base 10\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 578 to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = -2*n**3 + 2. Let o(x) = 5*x + 0 - 6*x - 1 + 0. Let b be 126\/(-33) + 4\/(-22). Let k(p) = b*o(p) - 2*w(p). Find the second derivative of k(a) wrt a.\nAnswer: 24*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 572 minutes after 8:20 AM?\nAnswer: 5:52 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) -0.00225 (b) 43.2 (c) 3\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor l**2\/3 - 2032*l\/3 - 4076.\nAnswer: (l - 2038)*(l + 6)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-276)\/(-2576)*(-2)\/3)\/(1 - 0). Which is greater: -0.3 or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m = r - 17, -2*m = -5*r + 3*m + 40. Suppose 4*u - 48 = 4*c, 0*u + 4*c = r*u - 55. What is the highest common factor of 56 and u?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = 2*w - 3*w + w**2 - 3*w**2 - 6. Let g(z) = -1. Let b(k) = -k**3 - 6*k**2 - 5*k - 1. Let c be b(-5). Determine c*d(m) + 5*g(m).\nAnswer: 2*m**2 + m + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) be the first derivative of -10*j**4 + 6*j**3 + j**2 + 18. Find the third derivative of s(b) wrt b.\nAnswer: -240","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = -x**2 - 2*x + 4. Let a be l(-3). Let v = -5 + -2. Let s(b) = -b**2 - 6*b + 10. Let j be s(v). Sort 2, j, a in ascending order.\nAnswer: a, 2, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + sqrt(19)*2)**2 - (sqrt(57)*-2)\/sqrt(3).\nAnswer: -10*sqrt(19) + 85","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = -4*t**2 - 4*t - 3. Let k be u(3). Let h be 272\/k*6\/(-2). Solve -2*z + h = 2*z for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2 + 3 - 4 - 1) + 4?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*h - 1 + 10, 15 = b - 4*h. Let i(v) = 5*v + 1. Let q be i(b). Let t = 54 - 14. Calculate the greatest common factor of q and t.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 134106 (base 10) to base 7\nAnswer: 1065660","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 39\/(-105) - 54\/270?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3480 is divided by 290?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = -h - 321. What is u(-31)?\nAnswer: -290","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.07? (a) -0.2 (b) 124 (c) -2 (d) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 14 - -24. Let v = 73 - j. Is v a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10548 a multiple of 36?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:57 AM and 6:36 AM?\nAnswer: 159","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u - 9 = 4. What is the remainder when 24 is divided by u?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -21 = 8*u + 32 - 13 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s - 1 = -5. Suppose -7*i = -s*i - 135. Suppose -2*k + i = -3. Solve 0 = 4*b + k + 5 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {d: 2, z: 7, w: 5, u: 3}. What is prob of picking 3 z and 1 d?\nAnswer: 1\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((o\/o**(-28))\/o)\/((o**(1\/31)*o)\/o))\/(o**10\/o*o**(-9)) assuming o is positive.\nAnswer: o**(867\/31)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(28) + -3)*1 - (-3 + 1*sqrt(175) + sqrt(175)))*-3*2)**2.\nAnswer: 16128","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -343*o - 24 = 4*z - 347*o + 4, -2*z + o - 12 = 0 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:35 PM and 5:40 AM?\nAnswer: 485","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -8305559, 0 in increasing order.\nAnswer: -8305559, 0, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -144 - 190811?\nAnswer: -190955","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -198 + 400. Is m a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 21 + -14. List the prime factors of b*13 + -4 + 7.\nAnswer: 2, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = k**2. Let r(u) be the third derivative of -8*u**5\/15 - 13*u**2. Calculate t(r(w)).\nAnswer: 1024*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1074 = -69*l + 2356 - 937 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) 0 (b) 3\/17 (c) 47 (d) 0.08 (e) 8\/7 (f) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -10\/9263 - 1009267\/370520. Find the common denominator of 18\/10945 and l.\nAnswer: 87560","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 90 - 0?\nAnswer: 90","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = -t**2 - 49*t + 54. Let u be r(0). Sort 2, -5, 4, -1, u.\nAnswer: -5, -1, 2, 4, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -191, -190, -189?\nAnswer: -188","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 284753 - 284688. What is the least common multiple of j and (45\/2)\/(2\/4)?\nAnswer: 585","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -140 (base 6) to base 16\nAnswer: -3c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 188350, 376831, 565442, 754183, 943054, 1132055, 1321186?\nAnswer: 1510447","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:28 AM and 5:44 PM?\nAnswer: 676","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -105*l + 103*l - 31 = 3*k - 0*k, -61*k + 40 = -2*l - 65*k for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t + 2360 = -2*p, -3*t = -2*p - 787 - 982. Let y = t - 58. What is the tens digit of y?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in three eighths of a hour?\nAnswer: 1350","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = -j**3 - 88*j**2 + 592*j - 972. What is o(3)?\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 2006 a multiple of 34?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -3002, -2569, -1846, -833, 470?\n\"Answer: 145*n**2 - 2*n - 3145","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.361 - 2367.8?\nAnswer: -2368.161","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 16839?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y - 4*y = -9. Let o(u) = -u**2 - 3*u - 1. Let m(i) = -3*i**2 - 12*i - 8. Let f(r) = y*m(r) - 4*o(r). What is f(3)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-2)\/(-10) - 248\/40. Let o = s + 12. Solve 4*u - 2*n = 4, 3 = -3*u + n + o for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((k*k**(-2\/7)*k*k)\/k)\/k*k)\/((k**0\/k)\/k)*k**(-10\/9)\/((k*k\/k**(7\/4))\/k) assuming k is positive.\nAnswer: k**(845\/252)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -20 + 21.1. Let z = 1.2 - u. What is the third smallest value in -1\/3, z, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 17 and -3295.7 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 20 minutes after 3:11 AM?\nAnswer: 3:31 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -10 + 14. Let v(x) = -57 - 53*x + 13 - 2*x - 346. Let d be v(-7). What is the closest to -1\/7 in 0, c, d?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/2? (a) -2\/11 (b) -125\/3 (c) 701132\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 1616 a multiple of 98?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*f + 2662*b + 112 = 2660*b, 0 = -2*f + b - 28 for f.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = -11*j**2 - 23*j + 7. Let g(d) = 7*d**2 + 15*d - 5. Let a(m) = 8*g(m) + 5*o(m). Let z be a(-7). What are the prime factors of (-3)\/z - (-16)\/3?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = 20*k**2 + 7*k + 8. Let s be v(6). Calculate the greatest common divisor of 1870 and s.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((b**2)**19)**(2\/59))**(-1\/13) assuming b is positive.\nAnswer: b**(-76\/767)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 849138 - 355458 = -22*s. What is s rounded to the nearest one hundred?\nAnswer: -22400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(68)*1 + sqrt(17))**2 + sqrt(119)\/(sqrt(28) - sqrt(7)).\nAnswer: sqrt(17) + 153","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) be the third derivative of -11*a**6\/30 + 29*a**5\/20 - 7*a**4\/4 - a**3\/6 + 2*a**2 + 913. Find l, given that o(l) = 0.\nAnswer: -1\/44, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -20*a - 166*a - 39 + 20 + 19.\nAnswer: -186*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -74 + 68. Let g = -5.5 - l. Let h = 0.1 - -1.9. Sort g, h, 19 in decreasing order.\nAnswer: 19, h, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = -p + 3. Let x(z) = z**2 - 5*z - 6. Let b be x(p). Suppose k = 2*c, -c + 3*c - 3*k = -b. Solve 2*h + 4*g - 5 = -h, -25 = c*h - 3*g for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 p and 1 n when two letters picked without replacement from {p: 1, v: 6, n: 3, r: 2}.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000847236 to 4 dps.\nAnswer: -0.0008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -523602 - 316*p**2 - 523607 + 1047209.\nAnswer: -316*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 570*h - h**2 - 525*h - 45*h - h**2.\nAnswer: -2*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o - 3*r - 5322 = 2*o, 8838 = 5*o + 3*r. List the prime factors of o.\nAnswer: 2, 3, 5, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -2.4319 + 1.4319. Put m, -1\/2, 5\/3, 235, 3 in increasing order.\nAnswer: m, -1\/2, 5\/3, 3, 235","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = n**3 + 11*n**2 + 2*n + 12. What is the remainder when g(-10) is divided by 31?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = -h - 8. Let u be -13*1\/(-4)*-4. Let p be t(u). Which is bigger: p or 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = -3*g + 2. Let k be (-44)\/(-7) - (-32)\/(-112). Let u(t) = 2*t - 1. Give k*u(r) + 5*c(r).\nAnswer: -3*r + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = 62*w**3 - 23*w**2 - 2. Let u(p) = 21*p**3 - 8*p**2 - 1. Let b(z) = -17*u(z) + 6*x(z). What is the first derivative of b(t) wrt t?\nAnswer: 45*t**2 - 4*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = -15*t**2 + 21*t - 109. Let d(m) = -m**2 - 9. Let n(o) = 12*d(o) - z(o). Give n(7).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*z**2 + 24 - 24 + 50 - 45*z.\nAnswer: -5*(z - 1)*(z + 10)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2257?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 283206 to the power of 1\/3, to the nearest integer?\nAnswer: 66","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (-14*(-1162)\/12)\/((-32 - -31)\/(-3))?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 13412*k - 18317?\nAnswer: 13412","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 173056, 346109, 519158, 692203, 865244, 1038281?\n\"Answer: -2*f**2 + 173059*f - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4240 (base 8) to base 4.\nAnswer: 202200","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = 210*l**3 - 27*l**2 - 11*l + 4. Let m(s) = 106*s**3 - 12*s**2 - 5*s + 2. Give -4*c(f) + 9*m(f).\nAnswer: 114*f**3 - f + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 4112\/5 - 28134\/35. What is the nearest to 4 in -3, k, -2\/7?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -12 - -20021200111?\nAnswer: 20021200022","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2110243, -4220487, -6330731?\nAnswer: -8440975","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 5 - (-8 + 9 + -1951)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k**3\/7 - 498*k**2\/7 + 8640*k + 54432 = 0. What is k?\nAnswer: -6, 252","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.017 - 4.\nAnswer: -4.017","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Work out -2.96657717 - -1.\nAnswer: -1.96657717","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*l - 3*j + 19, 2*j + 3 = 9. What is the remainder when 51 is divided by ((-18)\/l)\/(14\/(-42))?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -376*138.76.\nAnswer: -52173.76","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Determine h, given that 2*h**3\/5 - 55638*h**2\/5 + 3051764*h - 15203184\/5 = 0.\nAnswer: 1, 276, 27542","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7628468440.\nAnswer: 2, 5, 190711711","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = -51*y**5 + 5*y**3 + 153*y + 4. Let w(d) = -103*d**5 + 11*d**3 + 305*d + 9. Let a(n) = 9*b(n) - 4*w(n). What is the second derivative of a(i) wrt i?\nAnswer: -940*i**3 + 6*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 168\/35*(-30)\/(-4). Let m be (-8)\/q - (-3 + (-22)\/18). Suppose 3*k - 3*u + 5 - 17 = 0, -3*k + m = 5*u. Sort -2, k, -1 in ascending order.\nAnswer: -2, -1, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 plus 3522330995138?\nAnswer: 3522330995148","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 h, 1 e, and 1 q when three letters picked without replacement from {q: 6, v: 3, e: 1, h: 3}?\nAnswer: 9\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -9 - -8.988. What is t rounded to two dps?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 174 and 2?\nAnswer: 174","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Divide 596186 by -2.\nAnswer: -298093","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(5) + (sqrt(10)\/sqrt(2) - sqrt(5)) + -4 + sqrt(5) + (2 + sqrt(5))*2)**2 + 2 - ((sqrt(80)*3)**2 + 0 + (sqrt(30)\/sqrt(24)*4)**2).\nAnswer: -658","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Determine c so that 46*c**2\/3 + 976*c\/3 - 4170 = 0.\nAnswer: -695\/23, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = 4*p + 51. Let s be i(-11). Let f(g) = 415*g + 12. Is f(s) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -121\/542 or -566?\nAnswer: -121\/542","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: (2 - (37 - -13)) + (256 - 282)\nAnswer: -74","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 17 + -5 + (6 - (-3 - 5) - (136 - 182)).\nAnswer: 72","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 1112\/971 (b) -0.1 (c) 1 (d) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 14561 is divided by 967?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round -8113970 to the nearest ten thousand.\nAnswer: -8110000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Product of -958 and -0.4.\nAnswer: 383.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5663 is divided by 1413.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -34741 from -19.3341828.\nAnswer: 34721.6658172","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) be the first derivative of -f**3\/3 + 7*f**2\/2 + 2*f + 6. Let t be i(8). Let g = t + 12. What is the units digit of g?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8.739794 weeks to microseconds.\nAnswer: 5285827411200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -4941965, -4941951, -4941939, -4941929?\n\"Answer: -y**2 + 17*y - 4941981","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c = 6*c - 20. Suppose 2*m + 0*m = c. Suppose -2*l + m = -l. List the prime factors of l.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z + j = 8, -3*z + z = -2*j - 8. Suppose 4*p = 2*p - z. List the prime factors of (-4 - -17) + p\/(-2).\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 377 - 244. What are the prime factors of o?\nAnswer: 7, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/2 in -5, -4, 5, -11810, -2\/19?\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -350 + 2 + -7 + 9. Let y = h + 346. Solve y = 2*a + 8 - 0 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -58*x + 850 + 89*x**4 - 55*x - 47*x + 222*x - 53*x wrt x?\nAnswer: 356*x**3 + 9","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*r - 13293 = -22*r. Let q = r + -1180. What is the hundreds digit of q?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8332980.\nAnswer: 2, 3, 5, 138883","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 293 minutes before 4:12 PM?\nAnswer: 11:19 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -69.3 - -59. Let q = 158 + -168. Let z = q - p. Sort z, -1\/2, -3, 6 in increasing order.\nAnswer: -3, -1\/2, z, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -r + 3*s - 337, 0 = -r + 12*s - 8*s - 335. Let q be ((-49)\/r)\/(0 + 1). Let w = 2 - 3. What is the closest to w in q, -1\/6, -1\/4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(5\/3))**(21\/2)*s**(-16)\/(s**(-1\/4)\/s) assuming s is positive.\nAnswer: s**(11\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is -25 at most 0.83?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 134 a factor of 30686?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v\/((v\/(v\/(v*v**(-2\/7)*v)))\/v*v))\/(v*v**(-1\/2)))**13 assuming v is positive.\nAnswer: v**(-221\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 4556 and 341428.\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 4.7 + -0.7. Let u = 2263 - 2253. Sort -0.5, u, -1, q.\nAnswer: -1, -0.5, q, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 13702 and 20?\nAnswer: 137020","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -16677 - -16666. Which is the nearest to 2\/7? (a) -2 (b) p (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8048 divided by -80174?\nAnswer: -4024\/40087","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1881 - 1002. What is the units digit of g?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4162100383 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -32 - -313?\nAnswer: 221","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 28190 rounded to the nearest 1000?\nAnswer: 28000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or 2\/6071?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 6688 to the power of 1\/2, to the nearest integer?\nAnswer: 82","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -20 - -23. Let m = -0.3 + 0.2. Let q = -0.9 + m. What is the nearest to t in -5, 0.4, q?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -543919 or -543917?\nAnswer: -543917","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 676 minutes before 4:40 AM?\nAnswer: 5:24 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) be the first derivative of 3*x**2\/2 + 10*x - 86. Let q(y) = -2*y. What is q(j(g))?\nAnswer: -6*g - 20","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = x + 31. Let w be n(-26). Let h be (-3 + 2)*(1 - 1). Let f = h - -3. Solve -s + c = w*c + 2, -f*s = -3*c - 9 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 6\/(-1)*19\/(-57). Suppose 4*r = p - q*p + 15177, 0 = -5*r + p + 18960. Is r prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 + -4 + (12 - 11) - -4.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) be the first derivative of g**5\/60 + 5*g**4\/24 + g**3\/2 - 9*g**2 + g + 60. Let w(l) be the second derivative of y(l). Calculate w(-3).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*v = -5*v - 10. Suppose 2*f + 297 = 5*q + f, -5*f = v*q - 135. What is the units digit of q?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -d17 (base 16) to base 14.\nAnswer: -1315","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 3\/(-21) + (-6 - (-129)\/21). Suppose -5*o = -2*d - 11738 - 4443, -o - 4*d + 3223 = k. Is o composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -249, -1053, -2371, -4203, -6549, -9409, -12783?\nAnswer: -16671","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 9963\/(-10935) + 2\/(-10)\nAnswer: -10\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1538?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = -q**3 + 6*q**2 - 4*q - 3. Let i be o(5). Solve i*f + 5 = f for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.3*641293.\nAnswer: 192387.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 425 and 2954233225?\nAnswer: 425","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 divided by -777?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 14 + (-567)\/57 + -8 + 4.\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -344, -328, -300, -254, -184, -84, 52?\nAnswer: 230","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 228 is divided by 169.\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express 37*o - 82 + 394*o + 82 in the form g + m*o and give m.\nAnswer: 431","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) be the second derivative of -x**5\/5 + x**4\/12 + x**3\/6 + x**2\/2 + 2*x. Let n be o(-1). Find the first derivative of 4*l**4 + n - 8*l**4 + 6*l**4 wrt l.\nAnswer: 8*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -4 and -72.1?\nAnswer: 288.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/3, -13736, 30995 in decreasing order.\nAnswer: 30995, -2\/3, -13736","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -270 - -280. Suppose q*n = 3*n + 1057. What is the remainder when n is divided by 32?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/11? (a) -2\/13 (b) 2\/5 (c) -9\/7 (d) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(-16\/5))**(-1\/6) assuming u is positive.\nAnswer: u**(8\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15 = 62*r - 59*r for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from didddddddddd. Give prob of sequence idd.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 2\/7, -0.5, 0.2, 21, -1\/6260?\nAnswer: -1\/6260","meta":{"dup_signals":{},"source":"comparison__kth_biggest_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -25*u + 7 - 182 = 0. Which is the closest to 7? (a) -1\/6 (b) 3 (c) u\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = -o**3 - o**2 + 1. Let m(i) = 2*i**4 - i**4 - 6*i**3 + 2*i + 9 + 67*i**2 - 3*i**3 - 79*i**2. Let n(k) = 36*l(k) - 4*m(k). Factor n(s).\nAnswer: -4*s*(s - 1)**2*(s + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 19*s**2 - 4 + 7*s**2 + 4 to the form h*s**2 + z*s + k and give h.\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(98) + -3*(sqrt(98) + -1) + sqrt(98))**2 - 6*(sqrt(72) + 1))*-5 + 4)*2.\nAnswer: -1002 + 780*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1003109\/40 + -25079. Calculate the common denominator of -79\/190 and x.\nAnswer: 760","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-3 - (5 - 2) - (5 - 6)) + 7\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor 16553403*c**4\/7 + 56376*c**3\/7 + 48*c**2\/7.\nAnswer: 3*c**2*(2349*c + 4)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y - 2*y = -602. Is 11 a factor of y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 45601786?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-4)\/2 - 24\/(-6). Suppose q - 2*g + 5 = -2, d*q = -g - 9. Sort 3, -1, q in ascending order.\nAnswer: q, -1, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 73 + -71. What is the third derivative of 6*p**5 + 4*p**v - 7132 + 7132 wrt p?\nAnswer: 360*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -351*h**2*j**2*t**3 + 25*h**2 - 3*h*j*t**3 - 2*h*j*t**2 + 5*j**2*t**3 wrt j.\nAnswer: -702*h**2*t**3 + 10*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c*c**4)**(-15) assuming c is positive.\nAnswer: c**(-75)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert 112243411 (base 5) to base 12.\nAnswer: 20683b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -252 + 253. Let v(a) = -a**2 + 2*a + 1. Let r(g) = -3*g**2 + 6*g - 4. Let z(n) = b*r(n) - 2*v(n). Give z(4).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 26, 96, 162, 224, 282, 336, 386?\nAnswer: 432","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (7*(-4)\/168)\/(17\/(-6)). Let w = 36 - 33. Which is greater: h or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -166 = -3*r - 2*z, 5*r + 2*z - 32 = 238. What is the highest common factor of 13 and r?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 2 - 3*u**3)*(-1 + 1 + 652*u - 63*u + 761*u).\nAnswer: -4050*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 299 - 284. What is the units digit of n?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 529501353.\nAnswer: 3, 176500451","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -210, -415, -612, -801, -982?\nAnswer: -1155","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = -74*k**4 + 3*k**3 + 2*k**2 + 185. Let t(x) = 73*x**4 - 2*x**3 - x**2 - 186. Let d(c) = 2*m(c) + 3*t(c). Find the first derivative of d(h) wrt h.\nAnswer: 284*h**3 + 2*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (127 - 127 + 66*p)*(-3*p**2 + 5*p**2 - 4*p**2) - p**2 + p**2 - 2*p**3.\nAnswer: -134*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 r and 1 a when four letters picked without replacement from rrararrrrr?\nAnswer: 8\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*u**3\/11 + 20*u**2\/11 - 18*u\/11 = 0.\nAnswer: 0, 1, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 2 - 0 - 1 - -3. Let q(b) = -8 + 2 - i*b + 6. Let n(r) = -4*r**2 - 19374 + 19374. Give q(n(d)).\nAnswer: 16*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 47268370477 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*h**3\/7 - 460*h**2 + 1257378*h\/7 + 111572100\/7 = 0. What is h?\nAnswer: -1922, -75, 387","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*a = 4*a - 6, -4*u = -a - 18. Let y(g) = g**2 - 3*g + 2. Let v be y(6). Solve -3*p + 0*p = 0, -u*s + v = 3*p for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 16923570 is divided by 49.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qncchnuqccnw. What is prob of sequence wc?\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*q**3 + 5345*q**2 - 16000*q + 10660.\nAnswer: -5*(q - 1066)*(q - 2)*(q - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*m**3\/2 - 342*m**2 + 30741*m\/2 - 15030.\nAnswer: 3*(m - 167)*(m - 60)*(m - 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c - 24 = 4*z, -353*c = -350*c + 12. Which is bigger: 1425 or z?\nAnswer: 1425","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -5748 - -5753. Calculate the remainder when 1537 is divided by a.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -13 - ((2 - 17) + 14) - (-6 - -3 - 1)?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = y**3 - 11*y**2 + 32*y - 2. Let a be n(6). Let h(r) = -7*r + 2 - 6 - 2 + a. Determine h(2).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) be the third derivative of -f**6\/40 + f**5\/30 - f**4\/8 - 2*f**3\/3 - 41*f**2. Let h(u) = -4*u**3 + 3*u**2 - 4*u - 5. Calculate -4*h(k) + 5*i(k).\nAnswer: k**3 - 2*k**2 + k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (0 - 1) + 5 + 2. Let w(b) = b - 4. Let j be w(u). Solve j*r = r + 3 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is i in i**5 - 10*i**4 - 2*i**3 + 20*i**2 + i - 10 = 0?\nAnswer: -1, 1, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 18.5 - 19. Which is the closest to 1? (a) -4 (b) -0.2 (c) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of i*n**2 + 336*i*n*y + 2613*n**3*y + 6*n**2*y**2 + n*y - 5*y**2 wrt n.\nAnswer: 2*i + 15678*n*y + 12*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let 5*d**3 - 5740*d**2 + 11445*d + 17190 = 0. Calculate d.\nAnswer: -1, 3, 1146","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) be the third derivative of -13\/6*w**3 + 7\/6*w**4 + w**2 + 23 + 0*w. What is the first derivative of s(y) wrt y?\nAnswer: 28","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from qqqqqqkqqqqqqqqqkq. What is prob of picking 1 k and 3 q?\nAnswer: 56\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = 2*b**2. Let r(j) = 2*j**2 - 6*j + 17. Let a be r(-8). Let f(h) = -193*h - 21*h**2 + a*h. What is z(f(i))?\nAnswer: 882*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 3.079 - 0.079. What is the third biggest value in 1\/3, q, -0.02?\nAnswer: -0.02","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2\/(((-96)\/(-18))\/8).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*t = -2*r - r - 9, 0 = -2*t - 5*r for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -8 - (2 - 2 - (50 - (-19 + 40)))?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -89*o - 3 + 359 = 0 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 93 divided by -21274.\nAnswer: -93\/21274","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 divided by -215?\nAnswer: -1\/43","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 820?\nAnswer: 2, 5, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) be the first derivative of 1\/2*b**2 + 0*b - 3. Let s(v) = -v**2 - v**2 - v**2. Give s(q(o)).\nAnswer: -3*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {m: 1, t: 3}. Give prob of sequence ttmt.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 93064200 and 100.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round -20947 to the nearest 1000.\nAnswer: -21000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 171179 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-119 - 8*p**2 + 119)*(-4*p + 3*p + 2*p) + 0*p**3 + 3*p**3 - p**3)*(-5 - p + 2 + 10).\nAnswer: 6*p**4 - 42*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (15 + -13 - (2 - -1)) + -6.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = -12*q**2 + 207*q - 243. Calculate p(16).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1340 and 590?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 1120211122012 - 1220?\nAnswer: 1120211120022","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 109 is divided by 11.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) be the first derivative of 2*o**3\/3 + 11*o**2\/2 + 10*o - 4. Calculate the smallest common multiple of u(-5) and 1.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) be the second derivative of r**4\/2 - 5*r**3\/3 - 6*r. Let k(x) = -x**2 + x. Let i(s) = a(s) + 4*k(s). What is the second derivative of i(h) wrt h?\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = 2*a**2. Let t(w) = 3*w + 1731. Determine t(b(i)).\nAnswer: 6*i**2 + 1731","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8357*q - 3321*q + 777294 = 660*q for q.\nAnswer: 63","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {r: 14, l: 5}. Give prob of picking 2 r and 2 l.\nAnswer: 455\/1938","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3*7\/(42\/8)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = -3*x**2 - 6792*x + 3823932. Let h(k) = 8*k**2 + 13590*k - 7647867. Let q(v) = -7*b(v) - 3*h(v). Suppose q(r) = 0. Calculate r.\nAnswer: 1129","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = -392*w. Let z(b) be the first derivative of 7*b**2\/2 - 2222. What is l(z(v))?\nAnswer: -2744*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 11 minutes before 3:13 AM?\nAnswer: 3:02 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = 12*y + 12. Let w be i(-3). Let z = w + 27. Suppose -5*t + z*d = -201, 3*t - 4*d - 121 = -2*d. Is t a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 28 a factor of 336?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {l: 4, y: 7, c: 5}. What is prob of sequence cll?\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 153343 to the nearest integer?\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qcca. Give prob of picking 1 a and 1 q.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in twenty-nine fifths of a century?\nAnswer: 580","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 31834978.\nAnswer: 2, 7, 2273927","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*z - 37 + 37 to the form b + a*z and give a.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = 77*a - 16. Let y be n(-3). Let k = 1327 + -859. Let m = k + y. List the prime factors of m.\nAnswer: 13, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 515232726 to the nearest integer?\nAnswer: 802","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is ((((-336)\/32)\/(-21))\/((-1)\/(-28)))\/1?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 2*-1.0434893\nAnswer: -2.0869786","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(4500)*-2)\/(sqrt(3) - ((sqrt(15)*1)\/sqrt(5) + sqrt(3))))\/(4*(-3*sqrt(10)\/sqrt(2) + -6*sqrt(80))).\nAnswer: -5*sqrt(3)\/27","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = -17*m + 1. Let s(y) = -8*y + 1. What is -4*l(u) + 9*s(u)?\nAnswer: -4*u + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 1051 a factor of 619243945?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Are -108 and -968\/9 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 11 and 1724591?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 f, 1 t, and 1 r when three letters picked without replacement from ztffzzfrww?\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 10816121 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-14)\/(-78) + 14\/91. Let i(o) be the first derivative of 2\/3*o**3 + 1\/3*o**4 + j*o + 1\/15*o**5 - 2 + 2\/3*o**2. Determine l, given that i(l) = 0.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -10297 - -10294. Put -3\/5, -2\/13, -0.64, z in increasing order.\nAnswer: z, -0.64, -3\/5, -2\/13","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 247 + 239 - 70 - 2*b - 667 + 251.\nAnswer: -2*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.012? (a) -63\/2 (b) 2 (c) -6 (d) -0.347\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 589 is divided by 27?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.18 - -5.12. Let d = -5.228 + n. Let g = d + -0.0719994. Round g to seven decimal places.\nAnswer: 0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = -b**4 - 28*b**3 + 617*b**2 - 3248*b + 2628. Let o(a) = 2*a**4 + 57*a**3 - 1234*a**2 + 6504*a - 5257. Let c(t) = -9*i(t) - 4*o(t). Solve c(j) = 0.\nAnswer: -41, 1, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 86.3997um in nanometers?\nAnswer: 86399.7","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1 + -1. Let o = 32104.5 - 32101.5. Put 4, o, 4\/9, n in ascending order.\nAnswer: n, 4\/9, o, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = 7*y**2 - 2*y - 1. Suppose -3*o - 6 = -3. Calculate w(o).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 12 + 2*g**2 - 12*g**4 - 3*g**3 - 3*g**2 + 2*g**3 + 16*g**4 to the form n*g**2 + p*g**4 + r*g + u*g**3 + v and give p.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 26\/5 + -5. Suppose 4*q + 2*f = 742, 0*q + 2*f - 554 = -3*q. Let u be -1*(-3 - q\/(-60)). What is the third biggest value in u, h, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-4)\/(-1))\/(2 + -1 - -1). Let s = 45 - 11. Let p be 2\/9 - s\/(-9). Solve -x*n = p*j + 14 - 0, 2*j = -3*n - 1 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 1\/3 - 1\/2*k + 0*k**2 + 1\/6*k**3 = 0. What is k?\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -14 + -6. Let f = -17 - u. Calculate the highest common factor of f and 15.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 10\/31 (b) 2\/33 (c) 29.015\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o = 2*o. Sort o, 2, 4 in ascending order.\nAnswer: o, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -dc - -4221?\nAnswer: 4123","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = g**3 - 30*g**2 + 36*g - 36. List the prime factors of t(30).\nAnswer: 2, 3, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 27038791?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q = -2*j + 22, 2 = -2*q - 0. Suppose 5*l - 35 = 5*p, -3*p - j = -0*p - l. Let x(r) = 2*r**2 + 3*r. What are the prime factors of x(p)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 a, 1 b, and 1 p when four letters picked without replacement from bpbblppbabppabpprzbb.\nAnswer: 56\/4845","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1300 and 197535.\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(-1))**(3\/2)*(j\/((j*j**1)\/j))**(-22) assuming j is positive.\nAnswer: j**(-3\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 602303357 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -17 - 18. Is 6\/(-14) - 785\/y composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -8, -7, 8, 43, 104, 197, 328, 503?\n\"Answer: q**3 + q**2 - 9*q - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 1363986 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*k = -4*k - 15 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 3449 divided by -25?\nAnswer: -3449\/25","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 1155022868 to the power of 1\/2, to the nearest integer?\nAnswer: 33986","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = k**3 - 2*k**2 - 4*k - 14. Let r be y(5). Differentiate 31*w - 5 - 70*w + w**4 + 20*w + r*w wrt w.\nAnswer: 4*w**3 + 22","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*d = -4*j + 31 - 27, 4*j = -8 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 2.94 - -0.06. Let q be (1\/4)\/((-3)\/4). Let l = -5889 + 5877. Sort l, q, u in ascending order.\nAnswer: l, q, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 72*u**4\/7 - 224088*u**3\/7 - 2622910*u**2\/7 - 3904500*u\/7 - 1562000\/7 = 0 for u.\nAnswer: -10, -5\/6, 3124","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*d - 5 + 1 - 2*d - 82*d.\nAnswer: -79*d - 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) be the second derivative of i**7\/14 - 3*i**6\/5 - 39*i**5\/20 + 21*i**4\/2 + 47*i - 1. Factor x(n).\nAnswer: 3*n**2*(n - 7)*(n - 2)*(n + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 45\/8 of a micrometer?\nAnswer: 5625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p\/p**(-5\/3))\/p**11)\/(p\/p**(-1\/2)*p)**(-12) assuming p is positive.\nAnswer: p**(65\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 382\/(-2674)*0\/(-1)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) be the first derivative of 8 + 0*f**5 + 8\/7*f**7 + 0*f**6 + 0*f + 0*f**4 + 2*f**3 + 0*f**2. What is the third derivative of d(m) wrt m?\nAnswer: 960*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine f so that 3*f**4 + 9261*f**3 - 139482*f**2 + 335016*f = 0.\nAnswer: -3102, 0, 3, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.306258818 rounded to two decimal places?\nAnswer: -0.31","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 270 divided by 1?\nAnswer: 270","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 163.587 + -164. Round h to one dp.\nAnswer: -0.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -5 + 15. Calculate the smallest common multiple of 2 and d.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = 4*p + 2. Let i(j) = -j - 24. Let o(k) = 3*k + 20 - 6*k + 4*k + 0*k. Let u(g) = 5*i(g) + 6*o(g). What is u(c(r))?\nAnswer: 4*r + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -119 = a + s + s, 483 = -4*a - s. Let k = 7009 + -7131. Which is bigger: k or a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -a (base 13) to base 14\nAnswer: -a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 c and 1 g when two letters picked without replacement from {c: 4, o: 6, g: 1}.\nAnswer: 4\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + sqrt(176) + (sqrt(176) + 0 + sqrt(176) + -3)**2)*5.\nAnswer: -220*sqrt(11) + 3580","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = q**3 - 9*q**2 + 5*q + 11. Is w(10) a multiple of 23?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n - 2*b + 14 = 2*b, -4*n + 5*b + 44 = 0. What is the units digit of n?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2439*n + 81 = 2438*n + 2*s, 41 = 7*n + 2*s for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = -5*y - 68. Let w be r(-16). Suppose x = -4*d + 330, -w*d = -3*x - 11*d + 1029. List the prime factors of x.\nAnswer: 2, 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify q\/(q**(-2\/11)*q*q)*q*q*q**(1\/5) assuming q is positive.\nAnswer: q**(76\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {j: 5, p: 1, e: 1, o: 1, y: 3}. Give prob of picking 1 p and 3 y.\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3 (base 12) to base 3.\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.3397 rounded to one decimal place?\nAnswer: 1.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 2*((-27)\/6)\/(-3). Suppose 2*i - 19 = -5*m, -5*i - w*m + 5*m - 25 = 0. Let n(r) = -192*r + 7. Is n(i) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -16*w**2\/9 - 113102*w\/9 - 98854.\nAnswer: -2*(w + 7061)*(8*w + 63)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = -5*c**3 - 3*c**2 + c + 11. What is o(-2)?\nAnswer: 37","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = 4*g - 4. Let b be d(4). Let n be 75 - 2 - (1 + -4). Suppose -4*l - l + 117 = 3*f, 3*l - 4*f = n. Calculate the highest common factor of b and l.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = -4*p + 5. Let f(l) = -3*l + 4. Let r(y) = 3*d(y) - 2*f(y). Let c be r(5). Let v = c - -39. Is 5 a factor of v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*m - 5*m + 1. Suppose 0 = 2*x - t - 102, -4*x = -2*x + 5*t - 126. Suppose 20 = x*l - 43*l. Calculate the greatest common factor of l and m.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-6)\/(-4) + 1\/2. Let a(i) = i**2 - i - 1. Let n be a(-1). Let k be n\/(2\/(-12)*-3). What is the greatest common divisor of k and b?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -175*a + 170*a - 35 = 0 for a.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 = -13*c + 8*c. Let u(s) = 279*s**2 + 4*s - 2. Is u(c) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -130750 divided by -209\nAnswer: 130750\/209","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert 301 (base 4) to base 2.\nAnswer: 110001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 10345 (base 7) in base 8?\nAnswer: 5025","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 10 - (1 - -8 - -5). Let o(r) = 10*r - 5*r + 2*r**2 + 4*r + 12. Calculate the least common multiple of 1 and o(c).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -235264*z - 75852?\nAnswer: -235264","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 54*x = -30*x + 1268315 + 1519393. Is 128 a factor of x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 28 divide 37048?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 27*k = 9*k + 144. Calculate the remainder when (3\/3)\/(0 - 3\/(-213)) is divided by k.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3 + 5 - 12 - (-10 + 2 - 46).\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 1332*y**2 - 563 wrt y.\nAnswer: 2664*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 69832 divided by -602\nAnswer: -116","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is (9*2\/4)\/(1 - -5)?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 41857\/26964 - 16\/963. Find the common denominator of m and -37\/14.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millennia are there in 58675.27 centuries?\nAnswer: 5867.527","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = -971*t. Let l(u) = -2*u**2. Give p(l(c)).\nAnswer: 1942*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q**3\/8 - 657*q**2 + 434301*q\/8 + 54945 = 0. What is q?\nAnswer: -1, 88, 1665","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*f**2 + 3 - 3 + (0 - 2 + 1)*(-13*f + 13*f - 5*f**2) - 5*f**2 + 0*f**2 + f**2.\nAnswer: -2*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/32 of a minute in milliseconds?\nAnswer: 5625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express (212 + 212 - 458)*(4*w**2 + 2*w**2 - 4*w**2) in the form t*w**2 + c*w + p and give t.\nAnswer: -68","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i - 5 - 5 = 0, -40 = -3*y + 2*i. Suppose -5*q = -9*q + y. Solve -q*p + 6 = -0*p for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -15*-692.\nAnswer: 10380","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 799 and 1989?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/3? (a) -13 (b) 10034 (c) -300\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8736990?\nAnswer: 2, 3, 5, 179, 1627","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -2330631 (base 11) in base 4?\nAnswer: -33201320232","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 12894, 27511, 42128, 56745?\n\"Answer: 14617*j - 1723","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1218*b - 412*b**2 + 1218*b)*(b**3 + 2*b**3 - 6*b**3).\nAnswer: 1236*b**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 663884813.\nAnswer: 131, 5067823","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 308 times 0.0368\nAnswer: 11.3344","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a = 5*c - 19232985, 3*a + 11186078 + 8046919 = c. What is a rounded to the nearest one million?\nAnswer: -6000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-1)\/(-4)*-1 - (-370)\/40. Suppose 2*k + a = 5*k. Let m(h) = h**3 - 5*h**2 + 2*h + 2. Give m(k).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -850*z + 1696*z - 762*z**3 - 846*z - 1059 wrt z.\nAnswer: -2286*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qpppppcpqcp. Give prob of sequence cp.\nAnswer: 7\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 14243930.24 rounded to the nearest 100?\nAnswer: 14243900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 323, -37, 69 in ascending order.\nAnswer: -37, -2, 69, 323","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((w**2*w)**38)**(-9\/7))**(1\/50) assuming w is positive.\nAnswer: w**(-513\/175)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(6\/5)\/z)**(-39)*(z**(-9))**(-1\/38) assuming z is positive.\nAnswer: z**(-1437\/190)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 140\/(-66)*52740\/87900\nAnswer: -14\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 13815*n - 6923*n - 6921*n.\nAnswer: -29*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = 4*u**2 - 90*u + 47. Let q be f(22). Suppose -5*r = m + 11 - 1, -4*r = q*m - 3. Let i(j) = j - 4. Let y be i(4). Sort y, m, -3 in decreasing order.\nAnswer: m, y, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4\/39*25\/(-50)?\nAnswer: -2\/39","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 108377 = 68*s - 495939. Is s a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 52536761327 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 127\/13458126 and 73\/9787728.\nAnswer: 107665008","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = 14*x - 58. Let b be c(9). What is the third derivative of 2*m**5 + 10 - 17*m**3 - 10 - 66*m**2 - b*m**2 wrt m?\nAnswer: 120*m**2 - 102","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*v - 14 = -22. What is the units digit of v?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = -564*p. Let t(g) = -5*g. Determine t(r(v)).\nAnswer: 2820*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 0*-0.09607\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/9, -359, 3, -3.04.\nAnswer: -359, -3.04, -2\/9, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 69074.03 microseconds in nanoseconds?\nAnswer: 69074030","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -c5627 (base 14) in base 6?\nAnswer: -14111203","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -25 + 32. Suppose 2*q + 4*k = 20, 0*q - k = -q + o. Is 2 > q?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-32)\/(-40))\/(336\/180)?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*l**4 - 7*l**2 + 2 - 8*l**2 + 13*l**2 - 5*l**3 - 2*l to u*l**3 + d + a*l**2 + n*l + q*l**4 and give n.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*y - 4*b = -138914 + 138927, 3*y - 5*y - 23*b = 155 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 8.66 - 8.2. Let m = 11.84 + i. What is m rounded to zero decimal places?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1931 + 3*q - 1502 + 2996.\nAnswer: 3*q - 437","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) be the third derivative of -i**6\/120 + i**5\/10 - 5*i**4\/24 - i**3\/2 + 7*i**2. Let r = -167 - -172. Give x(r).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -11 - -10.35. Let g = 0.15 + d. Let h = 5 + -7. Sort h, 0.3, g in ascending order.\nAnswer: h, g, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(120)\/(sqrt(36)\/(sqrt(54)\/sqrt(6))))\/(((sqrt(200) - (1*sqrt(200) + sqrt(200) - sqrt(200)) - sqrt(200))\/sqrt(4))\/sqrt(5)).\nAnswer: -sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 94156.5043 rounded to 0 decimal places?\nAnswer: 94157","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -1b4 (base 15) to base 16\nAnswer: -18a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3629 - 6*q - 9*q + 4*q + 4*q.\nAnswer: -7*q - 3629","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = -2*r**2 - 1033*r + 2067. What is a(2)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = -6*q**2 - q + 5. Let j(m) = -10*m**2 + 2*m + 3. Let h(u) = 21*u**2 - 5*u - 5. Let y(s) = -3*h(s) - 7*j(s). Give 6*d(k) + 5*y(k).\nAnswer: -k**2 - k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -2.26 - -38.66. Let x = 36.233 - u. Let h = x + 0.16. Round h to two decimal places.\nAnswer: -0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -212245222739103 and 0.\nAnswer: -212245222739103","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of ((-13)\/(-8))\/((-2)\/14) and 115\/(-20) + -4 - -2?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 53803?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 273*r + 169 = -514 - 203 + 67 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 2\/(-3) + (-5)\/(-3). Suppose -w = n - 4. Suppose -8 = -n*g + 64. Does 10 divide g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 = g + 3*d, -4*g + 3*d = -2*g + 3. Let f = 54 - g. Suppose -8 = -2*h + 4*u + f, 5*h = u + 143. Does 20 divide h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -19? (a) 0.07 (b) -1\/3 (c) -4 (d) -0.9 (e) -0.2 (f) 425\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*d**3 + 5*d**3 + 4*d**3 + 3*d**3 - d**3 - d**3 + (0*d + 2*d**2 + 0*d)*(d + 2 - 2) + d**3 + 2 - 2 + d**3 - 8 + 8.\nAnswer: 10*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = 6*l**2 + 3*l - 7. Let t(m) = -4*m + 2. Let x be t(2). Is g(x) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2069, -3865, -5661, -7457, -9253, -11049?\nAnswer: -12845","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 65143 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: Collect the terms in -6*c + 8*c - 5*c.\nAnswer: -3*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = v - 3. Let z(x) = x - x - x + 0. What is -r(a) - 2*z(a)?\nAnswer: a + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = 6681*q**2 - 145*q + 5796. Let g(u) = -6681*u**2 + 116*u - 5791. Let f(i) = -5*g(i) - 4*z(i). Differentiate f(r) with respect to r.\nAnswer: 13362*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 482 is divided by (-10)\/(-4)*(-112)\/(-70) + 19.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 9 + -7. Find the second derivative of -1 + 3 - c + w - 3*w**3 wrt w.\nAnswer: -18*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*f**2 - 1 - f**4 + 1)*(4 - 4 + 1).\nAnswer: -f**4 - 4*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 32 = 2*v - 3*x, 11*v - 57 = 6*v - 4*x. Suppose -5 - 394 = -7*b. Calculate the remainder when b is divided by v.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -145.341 minus 550?\nAnswer: -695.341","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3 = -4*c + 5*z, -2*c + 0*c = 4*z - 8 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 4 - 2. Suppose 3*n - q*n - 5 = -u, 4*u = n. Let h = -41 + 63. What is the least common multiple of h and n?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j = -2*t - 116, t - 70 = 2*t + 5*j. Let a = 49 + t. Is 560 + ((-4)\/a - 44\/12) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13*h = -7*h - 6 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1 (base 12) to base 6.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -10799 or -34630?\nAnswer: -34630","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort 8\/27, 30\/17, -20 in descending order.\nAnswer: 30\/17, 8\/27, -20","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 31*i - 11*i - 3*i + 8*i**2 - 8*i**2 + 7*i**2.\nAnswer: 7*i**2 + 17*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 (base 16) in base 3?\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -17 - -16.9. Put -4, x, -3 in decreasing order.\nAnswer: x, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((6\/(-72))\/(100\/(-6000)))\/((-110)\/(-4)).\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 629510 and 15870?\nAnswer: 1888530","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1220)\/(-183) - (1 + 1\/(-3))?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 54, 60, 4, -132, -366, -716?\n\"Answer: -3*g**3 - 13*g**2 + 66*g + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m**3\/5 + 2036*m**2\/5 - 2046*m = 0. Calculate m.\nAnswer: -1023, 0, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8 + -30 + 19 + -12 - 2.\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) be the first derivative of b**3\/3 - b**2\/2 - 2*b + 4. Let a be p(0). Let d = 5 - a. What are the prime factors of d?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (222\/740)\/((-42)\/7).\nAnswer: -1\/20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 0.05 times 4.9\nAnswer: 0.245","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*l = 415 - 431 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -194.221 or 0?\nAnswer: -194.221","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*h - 22*h = -600. Solve -5*z + h = c, -c - 12 = -3*z - 0*z for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 6 (b) -4 (c) 387 (d) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -17 - -36?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -8*q + 9*q - 84. Find the common denominator of ((-3)\/(-36))\/(2\/(-45)) and 1870\/q - 12\/28.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -0.5, -5457, -0.1, 3, 0.1?\nAnswer: -5457","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -7955*l**2*t + l**2 - 34*l*t**2 - 9694894 with respect to t.\nAnswer: -7955*l**2 - 68*l*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 9967 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 32.25 - 30. Let w = 22.45 - 23. Let g = p + w. Is 0 at most as big as g?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*i**2 - 5 + 5 + (i - 8 + 8 + (5*i - 3*i - 4*i)*(-2 + 3 + 1))*(-27*i - 19 + 19) to a*i**2 + u + x*i and give a.\nAnswer: 79","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 7273.054 weeks?\nAnswer: 73312384.32","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = -85*q + 2. Let t(b) = 15*b - 8*b - 9*b. Determine t(a(w)).\nAnswer: 170*w - 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 987 = 43*p - 706 + 403 for p.\nAnswer: 30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 27672740 and 40.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 103 minutes before 5:09 AM?\nAnswer: 3:26 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g = -0*g + 4*y + 59, -2*y + 65 = 11*g. Let m(u) = u**3 - 2*u**2 + u - 3. Let d be m(3). Solve g*h + 9 = d for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1.6 + 19.2. Let l = j + -106.6. Let r = 89.4 + l. Which is the biggest value? (a) -0.3 (b) -2 (c) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -t - 0 + 4. Suppose t*f - 16 = 0, c + f = -0*f + 17. List the prime factors of c.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = 8*l + 5. Suppose -g - 10 = -2*g. Let a = g - 9. Let c(b) = b + 1. Calculate a*o(y) - 5*c(y).\nAnswer: 3*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - p**2 + 2)*(11*p - 9*p - 4*p - 2).\nAnswer: 2*p**3 + 2*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-1948)\/3409)\/((-36)\/(-14)).\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 22296 - 22296 + 11505*r.\nAnswer: 11505*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 315.32 - 0.32. Let v = -315.00000586 + f. Round v to 6 decimal places.\nAnswer: -0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = n**2 - 8*n + 10. What is the lowest common multiple of 5 and p(7)?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t - 46 = -6*t. What is the greatest common divisor of t and 161?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3576)\/(-13104)*(-1 - 1) - (-316)\/553.\nAnswer: 1\/39","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -5, -1, 8, 2 in ascending order.\nAnswer: -5, -1, 2, 3, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b\/(b**(20\/9)\/b)*b*b**(4\/15)*b**24\/b*b**(1\/46))**(-2\/13) assuming b is positive.\nAnswer: b**(-49817\/13455)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -z + 398 = -50*z - 43 for z.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12 = 13*b - 40 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 53, 109, 167, 227?\nAnswer: 289","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-18)\/(-24))\/(1\/4). Suppose 0*o = 3*u - l*o - 21, -o = u - 9. Calculate the least common multiple of u and 10.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 33.1703 to 0 dps.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) be the third derivative of 0*d**3 + 0*d**7 - 1\/30*d**5 + 0*d - 1\/336*d**8 + 0*d**4 + 0*d**6 - 2*d**2 + 0. What is the third derivative of h(t) wrt t?\nAnswer: -60*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2968 = 420*y - 413*y. Calculate the remainder when y is divided by 39.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1919*k - 1076*k - 848*k.\nAnswer: -5*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = -s**2 - 11*s - 12. Let m be w(-8). Let d(q) = 3*q - 30. Let a be d(m). Suppose 0 = x - 2*x + 3. Solve l - x*h = -h - a, -3*l - 15 = -5*h for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3762185753?\nAnswer: 3762185753","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = -t + 6. Let s be l(5). Solve -2*j + 5 = -s for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.4 - 1.4. Suppose 4*n - 312 - 44 = 0. Let x = n + -88. Put p, x, -5 in increasing order.\nAnswer: -5, p, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7124150 is divided by 2715.\nAnswer: 2705","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -0.08139, 6, -1, 0.5, 1\/4, -3\/8, 1\/6?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a**(-1))**(13\/5)*(a**(-1\/3)*a)\/(a**(-3)*a))\/(a*a\/(a**(-1)\/a)*a*a**0*a*a)**(5\/4) assuming a is positive.\nAnswer: a**(-521\/60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 4 - 1. Suppose z*h + 1 + 2 = 0, h = d - 3. Let f(a) = 2*a - 7*a + 1 + 5*a**2 + d*a - a**3. Determine f(4).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(2\/11)*i\/(i**(-1\/5)*i))\/(i**2\/(i\/(i**4*i))) assuming i is positive.\nAnswer: i**(-309\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ww when two letters picked without replacement from {n: 1, w: 2, t: 11, a: 2}.\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 2.726 - -0.284. Let s = -4.01 + w. Which is the closest to -0.1? (a) 0.1 (b) -2\/75 (c) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s + 4*n + 90 = 0, 10*s + 2*n = 5*s + 237. Suppose -3*k = 28 + s. Let o = -22 - k. Solve 0 = -o*r + 4*r for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5924509*q + 9265 = 5924644*q + 220 for q.\nAnswer: 67","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*d = -5*x - 7, -2*d - x - 3 = 2 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1 + -11. Let u = 23 - 2. Let q = r + u. What is the units digit of q?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 2336425 to the nearest integer?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify f\/(f**3\/f)*f**12 assuming f is positive.\nAnswer: f**11","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -358587, -1434392, -3227419, -5737674, -8965163, -12909892, -17571867?\n\"Answer: -k**3 - 358605*k**2 + 17*k + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 31 and 51?\nAnswer: 1581","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) be the first derivative of -d**7\/20 + d**6\/360 + d**5\/120 + d**3\/3 + 4. Let b(y) be the third derivative of w(y). Is b(-1) a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -95\/16 and -46\/61.\nAnswer: 976","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Are 48.54 and -1\/118 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3855 is divided by 701?\nAnswer: 350","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 16823 is divided by 81.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6453?\nAnswer: 3, 239","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0 (b) 0.04 (c) -8544\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = -r + 10. Let m be l(10). Suppose m = -5*c + z + 26, 2*z = -c - z + 18. Let k(a) = 2*a + 2. List the prime factors of k(c).\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine k so that 6*k**3 + 9673082*k**2 - 6448726*k - 3224362 = 0.\nAnswer: -1612181, -1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1 + -1.1. Let r be (-72)\/(-168) - (-33)\/21. What is the nearest to r in w, 4\/7, -0.5?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-43)\/((-6192)\/672)*((-447)\/21 - 1)?\nAnswer: -104","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 34\/(-459)*-5*6\/2.\nAnswer: 10\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -31*q + 1011816 = -9*q + 47*q. Does 13 divide q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = 11*f. Let v(u) = u**2 + u - 3. Let o(j) = 15*j**2 + 2*j - 6. Let g(a) = -o(a) + 2*v(a). What is h(g(w))?\nAnswer: -143*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 4760 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = -2974*i**2 - i. Let n(c) = 217*c**2. Calculate w(n(p)).\nAnswer: -140042686*p**4 - 217*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of (-3)\/7 + 124\/28 and 8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = -f**2. Let j(g) = 215*g**2 - 25*g + 12. Let l(z) = 18*z**2 - 2*z + 1. Let d(s) = 2*j(s) - 25*l(s). Calculate -2*d(r) + 6*v(r).\nAnswer: 34*r**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -15.62163304 take away 21.144?\nAnswer: -36.76563304","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = v - 2. Let z be l(-2). Let x be (z + 1)\/((-24)\/32). Suppose -1 = -o, w + 4*o = -x + 9. What is the closest to w in -0.4, -4, 5?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -69\/34374175 and -58\/212861.\nAnswer: 1271844475","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10011011100010101110 (base 2) to base 6.\nAnswer: 21353314","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 4 (b) 7 (c) 1 (d) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 4546499 a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-4*sqrt(200)\/(sqrt(88)\/(sqrt(11)*-1)))\/(4*4*(sqrt(20) + sqrt(40)\/sqrt(2))))**2.\nAnswer: 5\/256","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = 30*m - 6. Let j(t) = 2 + 18 + 4 + 6 - 61*t - 17. Give 13*d(s) + 6*j(s).\nAnswer: 24*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 7159311?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t - 1 = -5*k + 36, -3*k + 17 = -4*t. Let y = 14 + -10. Solve x + y = k for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -128689 + 188256. Is i a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2525.\nAnswer: 5, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) be the third derivative of -o**5\/270 + o**4\/54 - o**3\/27 - 6*o**2. Factor s(b).\nAnswer: -2*(b - 1)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 40 + -28 - -55 - 33\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = -d**2 + 6. Let a(m) = 3*m + 25. Let b be a(-6). Let r(s) = -4*s - b*s + 28*s - 12*s - 6*s. Determine j(r(q)).\nAnswer: -q**2 + 6","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -70 - 10 = -q. Suppose -2*w = 4*g - q, 3*g - g = w + 36. Let j = 12 + g. What are the prime factors of j?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 152 - -3*(8 + 84\/(-12)) is divided by 15.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (9\/((-27)\/(-14)))\/((-6)\/(-4581)) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.3*385025.\nAnswer: -115507.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0.3 or -9626\/5?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 6 and 2247?\nAnswer: 13482","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 194741 to the nearest integer?\nAnswer: 441","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-4 + 3)\/1 + 52. Suppose -5*r + v = -39. Suppose 4*m - r = -2*m. Let j(q) = -q**2 + 3*q - 3. Give j(m).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 1 + l + (-4 + 5 - 3)*(5*l - 3*l - 3*l) + 17*l - l - 6*l)*(0 - 2*l + 0).\nAnswer: -26*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 34*f = 3*f - 28*f + 12626. Calculate the least common multiple of 6 and f.\nAnswer: 642","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:45 AM and 4:40 AM?\nAnswer: 115","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = -y**3 + 3*y**2 + 5*y - 4. Let c = 73 + -29. Suppose -5*x = -7*x + c. Suppose 26*n - 16 = x*n. Give p(n).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 86121, 86650, 87179, 87708?\n\"Answer: 529*f + 85592","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = -2*a**3 - 5*a**2 + 4*a + 1. Let q = 8 - 4. Let d(x) = -5*x**3 - 11*x**2 + 9*x + 2. Give q*d(o) - 9*p(o).\nAnswer: -2*o**3 + o**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 2\/6 - 312\/(-36). Suppose -d + 2*f + 13 = 0, -w*d + 6*d = -2*f - 23. Solve 2*i - 3*i - k = -1, 3*k = -d*i - 5 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -34378*g + 34378*g + 37*g**2 - 145*g**2.\nAnswer: -108*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-2 - -13) + 3 - -2. Differentiate 1473*a**2 - p - 1473*a**2 - 3*a**4 with respect to a.\nAnswer: -12*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -10*(-1 - 0)*22. Let o = c - 202. Calculate the remainder when 172 is divided by o.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ye when two letters picked without replacement from yeeeeeeyeee?\nAnswer: 9\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 - (-286)\/(-6)*(-8 - (-115)\/14)?\nAnswer: -3\/14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 5*p**3 + 2*p**2 + 268747*p + 52460898 with respect to p.\nAnswer: 15*p**2 + 4*p + 268747","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a = -3*a + 8. Let f(w) be the third derivative of -w**4\/12 - 2*w**3 + w**2. What is the units digit of f(a)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p + 143 - 2268 = 0. Let r = p + -296. Suppose 39*u + 35 = 44*u - 5*g, -26 = -2*u - 2*g. Calculate the remainder when r is divided by u.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2449 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = -2*a**2 + 37*a. Let g(x) = -8*x**2 + 152*x - 1. Calculate 9*c(y) - 2*g(y).\nAnswer: -2*y**2 + 29*y + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 45 - (-81 + 45 - -78)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = 2 + 2*v**2 - 3*v**2 + 1. Let r(o) = 2*o**2 - 5. Suppose 17 = -8*i - 23. What is i*g(p) - 3*r(p)?\nAnswer: -p**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 96a1b3 - -5?\nAnswer: 96a1b8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {l: 4, h: 1, e: 9, k: 3, f: 1}. Give prob of sequence ehll.\nAnswer: 1\/680","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9 + -12 - (-4 + 0 + -2).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*y**4 - 24*y**3 + 44*y**2 - 24*y.\nAnswer: 4*y*(y - 3)*(y - 2)*(y - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -3687 - 345?\nAnswer: -39cc","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 57 + -56. Sort -3, n, -5\/4, -0.3 in decreasing order.\nAnswer: n, -0.3, -5\/4, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/5 of a millennium in centuries?\nAnswer: 6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = 2*d + 16. Let y = -99 - -104. Let c(j) = -j**3 + 6*j**2 - 6*j - 6. Let s be c(y). Calculate a(s).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.06 + 32.94. Let f = -36 + w. Which is the biggest value? (a) f (b) 6\/11 (c) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 2 and -5.836.\nAnswer: -3.836","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 8799092, 17598176, 26397260, 35196344, 43995428, 52794512?\n\"Answer: 8799084*j + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i - 3 = -4*g, 0 = -g + i - 1 - 0. Suppose g*a + 2 = a. Let l(d) = -d**3 + 2*d**2 + d + 2. Calculate l(a).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) be the third derivative of q**4\/8 + 45*q**2. Let d(z) = 3*z - 10. Let h be d(5). Let g(n) = -2*n - h*n + 7*n - 5*n**2. Determine u(g(s)).\nAnswer: -15*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 2851 to the power of 1\/3, to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express -850*d + 99*d + 943*d + 6149*d as o*d + a and give o.\nAnswer: 6341","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.5 less than -20087?\nAnswer: -20086.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 3508.19323 rounded to the nearest 10?\nAnswer: 3510","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*r = b + 30, -b - 2687*r = -2691*r + 3 for b.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10*m + 2*m + 48*m**3 - 12*m.\nAnswer: 48*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*h = -4*h + 24. Let y(t) = -3*t - 4*t + 3*t. Let p(a) = 3*a. What is h*p(r) + 5*y(r)?\nAnswer: -2*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 4035152431 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {e: 1, c: 5, h: 5}. Give prob of picking 2 h and 1 c.\nAnswer: 10\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 5197456 and 451.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 10343 to the nearest integer?\nAnswer: 102","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -11875\/2 - -5940. Factor -25\/2*j - 5\/2*j**2 - 15\/2 + x*j**3.\nAnswer: 5*(j - 3)*(j + 1)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 6201580 to the nearest integer?\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*j**2 - 4689764*j - 9379512 = 0 for j.\nAnswer: -1172439, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = 1077*l. Let s(q) = -q**2. Give r(s(m)).\nAnswer: -1077*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -12 + -25?\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 4*g**2 - 144568*g - 4040084 wrt g?\nAnswer: 8*g - 144568","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y - 2 = 0, 4*y - 46 = -68*u + 66*u. What is the greatest common factor of 400 and u?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v + 70 = -7*v. What is the remainder when (0 + v)\/(4\/(-8)) is divided by 10?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 67666408.\nAnswer: 2, 71, 119131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 60113 divided by -47\nAnswer: -1279","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m - 3*y = -23, 2*m + 0*m + 4*y = 4. Let d be 1\/4 + 38\/m. Let p(i) = -i - 4. Let r be p(-8). Solve d = 3*b + r*c, -b + 2*c + 2*c = -7 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in -28, -3, -10, -0.5, 0.6, 2\/11, 5?\nAnswer: 0.6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -28 in 7\/4, -0.233, -4, 2?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 265*0.05\nAnswer: 13.25","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13 = -p - 1. Let n(s) = -s**2 - 3*s + 4. Let f be n(-3). Suppose q + p = f*q. Solve -q*d = -14 - 2 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2371 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: Round -27450431 to the nearest one hundred thousand.\nAnswer: -27500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 602908750*g**3*o**2 + 2*g**2*o**2 - 233*g + 27*o**2 + 2260 wrt g?\nAnswer: 3617452500*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 7 + -16. Let z = -4 - h. Let r(w) = w**3 + 9*w**2 - 2*w - 6. Calculate the remainder when r(-9) is divided by z.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 15 + -18. Let a be (4 - 5 - 1*j) + 0. Solve 2*i = 4*z + a, -3*i - 4*z + 3 = z for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1041 + -827. Let k = x + 157. Is k a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 23207450921 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 149.00088 + -149. Round h to four dps.\nAnswer: 0.0009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 830, 535, -4 in ascending order.\nAnswer: -4, 535, 830","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = 2*a + 65. Let p be d(-5). What is the common denominator of (-4)\/(1000\/p)*(2 + 0) and -161\/30?\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve q + 9 = 10 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 0.006 (b) -5\/4 (c) 1 (d) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -423 - -605. Is f a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4\/5, 0, 0.5, 3, -7.\nAnswer: -7, 0, 0.5, 4\/5, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in eleven quarters of a century?\nAnswer: 275","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1342 is divided by 12.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 121\/299850 and -129\/6500.\nAnswer: 38980500","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mjl when three letters picked without replacement from iljjljlmml.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -95 - -93. Which is the third smallest value? (a) 0.4 (b) y (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -1.58334064 and -2.\nAnswer: 3.16668128","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 14 - 10. Let m = 213 - 47. Suppose -2*h + m = q*j, -3*h + 3*j = 2*j - 263. What are the prime factors of h?\nAnswer: 3, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -208 + 478 = 2*q + 222 for q.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 583 is divided by 96.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -1381.928 rounded to the nearest ten?\nAnswer: -1380","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 169590386 and 28?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 2154, 0.4, -2\/13, -1.6, 0.1?\nAnswer: -1.6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of (18\/5)\/(4\/2280)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*g, 5*k - g + 667 = 1917. Is k a multiple of 34?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.2 in 6.65, 214, -1\/18?\nAnswer: -1\/18","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 14 minutes before 7:17 AM?\nAnswer: 7:03 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*5*sqrt(76) + 4.\nAnswer: 4 + 50*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -1.9 (b) 0.3 (c) -0.3 (d) -2.96 (e) 4\/13\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -7843, -15615, -23383, -31147, -38907?\nAnswer: -46663","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = 23*g**2 - 2*g - 4. Suppose -2*r - 4 = 0, 7*r + 3 = -3*x + 10*r. What are the prime factors of o(x)?\nAnswer: 11, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is 27\/2 of a litre in millilitres?\nAnswer: 13500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 150 + -599\/4. Factor 1\/2*f**2 + r*f + 0 + 1\/4*f**3.\nAnswer: f*(f + 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*m**2 - 10*m + 10*m - 35*m**2.\nAnswer: -40*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -216 - -331?\nAnswer: 112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*y - 2*y - 1. What is the highest common divisor of y and 11?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = -y**3 + 6*y**2 + 3*y + 10. Let h be z(6). Calculate the greatest common factor of 70 and h.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*d - d = -5. What is the second derivative of 3*b**4 + 2*b - 6*b + d*b wrt b?\nAnswer: 36*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = -c - 2. Let p(s) = 3. Let w(o) = -1. Let j(q) = p(q) + 2*w(q). Let y(f) = -3*j(f) - n(f). Is 3 a factor of y(4)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 4614996*q**2 + 9849211 wrt q.\nAnswer: 9229992*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round -88.607 to one dp.\nAnswer: -88.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 14 - (-6 - 1 - -9 - 0 - 11)\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 2822 - 1072. Is x a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {s: 1, a: 1, e: 2, c: 2, p: 3, u: 3}. What is prob of sequence peus?\nAnswer: 1\/660","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:25 AM and 12:38 PM?\nAnswer: 313","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -114*c**2 - 2471*c**2 + 257*c**2.\nAnswer: -2328*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(70)*1*1 + (sqrt(70) + sqrt(70)*1)*-6)\/(-3*(sqrt(10)*-1 + sqrt(10) + sqrt(10) + sqrt(10))*-2).\nAnswer: -11*sqrt(7)\/12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1331) + (sqrt(1331) - (sqrt(1331) + -2)*3) + 0)**2 - (-4 + 1 + (sqrt(891) - sqrt(891)*-1))**2.\nAnswer: -2206 - 24*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u - 4*u = -24. Let d be 2\/u - (-120)\/32. Sort 0.9, d, -0.4 in ascending order.\nAnswer: -0.4, 0.9, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 42 and 150579786.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-2 - -3)*(-8)\/(-96). Let n(t) be the second derivative of 0 + 2\/3*t**3 - 18*t + 1\/2*t**2 + k*t**4. Determine n(-7).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*u - 4 = -q, -4 = 6*u - 9*u - q for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j - 20 = -62. Let h be (-2)\/3*(-513)\/18. Suppose -5 = -2*i + h. Calculate the lowest common multiple of j and i.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 4*1\/((-8)\/(-6)). Suppose z - 1 - v = 0. Solve m = 2*m - z for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = -y**2 + 1524*y - 7588. Give p(5).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Divide -56 by -2.\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = 59*z - 108*z - z**3 + 49*z. Let o(v) = 8*v**3 + 4*v**2 - 2*v. Let n(l) = -10*h(l) - o(l). Factor n(i).\nAnswer: 2*i*(i - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 4040 and 74033.\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = 174*q**2 + 10623*q + 537. What is r(-61)?\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 67434, 3, 7 in increasing order.\nAnswer: 3, 7, 67434","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -174 times -7.453\nAnswer: 1296.822","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3376?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express -3 - 33*g**3 + 4*g - 7 + 32*g**3 + 2*g**2 as s + r*g**2 + z*g**3 + n*g and give s.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 b and 1 t when two letters picked without replacement from {t: 1, s: 1, g: 1, b: 2}.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.18194747 to 3 decimal places.\nAnswer: -0.182","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hl when two letters picked without replacement from {x: 2, a: 3, z: 4, l: 1, h: 1}?\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -5 + -1 + 4 - -6 - 0?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -212*(93\/(-20) - (-2)\/(-20)) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -8698*p - 7931*p + 5*p**2 + 5832000 + 5829*p.\nAnswer: 5*(p - 1080)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4 - 0 - 4) + 3 + -22 + 21?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p = -0*p - 2, 2*n - 3*p - 8 = 0. Let y(c) be the first derivative of 564*c**2 + 4*c + 1. Let k be y(n). Round k to the nearest one thousand.\nAnswer: 8000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*((sqrt(2) - 4*sqrt(2)*3) + -5 + sqrt(10)\/sqrt(5))*4.\nAnswer: -80*sqrt(2) - 40","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -6201 less than 3171.618?\nAnswer: 9372.618","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*x = 14*x + 18. Let q(c) = -c**2 + 5*c + 9. Let z be q(x). Suppose -6*i + z*o = -i - 153, -2*o = 5*i - 148. Is i a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 1\/8, -44, -3.\nAnswer: -44, -5, -3, 1\/8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -37\/88 and 5\/66.\nAnswer: 264","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 12375677 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -108 - 44*g + 10*g**4 + 20*g**4 + 15*g**4 - 525*g**5 + 8*g + 1023*g**2 + 1521*g**3 = 0. What is g?\nAnswer: -1, -3\/5, 2\/7, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2725631.\nAnswer: 53, 51427","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h = 2*y - 23, -3*y - 86 = -8*y + 2*h. What are the prime factors of (-1223)\/(-8) + 2\/y?\nAnswer: 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 40\/12*9\/6. Suppose -f*u = -2*c + 481, 3*u + 284 = 5*c + 3. Let b = -54 - u. What is the tens digit of b?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -218 = 3*s + 4*v, -3*s - 3*v + 2*v = 212. Let r be 26\/s - 4\/20. Let t = 0.3 + -2.3. Which is the nearest to -0.1? (a) t (b) 4 (c) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 815036197?\nAnswer: 815036197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (146\/219)\/((-5)\/(-420)).\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -17 + ((-6)\/(-3) - 0). Let l = 25 + h. What is the tens digit of l?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1421441430 (base 5) to base 13\nAnswer: 9c8492","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -61.69 + 62. Let c = 0.51 - t. Sort 1, -1\/9, c, -0.2.\nAnswer: -0.2, -1\/9, c, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-2)\/(-10))\/(((-42)\/(-70))\/1).\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) be the third derivative of -c**6\/30 + 3*c**5\/4 + c**4\/12 - 5*c**3\/2 - 60*c**2. Find the second derivative of d(y) wrt y.\nAnswer: -24*y + 90","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = -2*p**2 + 3*p - 12. Let i be u(6). Let z be (3 + -4)\/(i\/12 - -7). Which is the nearest to -0.1? (a) 0.8 (b) z (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 36b (base 12) to base 3.\nAnswer: 201002","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 2 - 4?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Divide 0 by -179.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*u + 133*u**3 - 87*u**3 - 3*u + 125*u**3.\nAnswer: 171*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Divide -11633 by -244.\nAnswer: 11633\/244","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does 87 divide 373?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -114 (b) 0 (c) -4 (d) 1\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w = -a - 523, 3*w + 5*a - 845 = 8*w. Let n = -171 - w. Solve -5 = d - n for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3 + 5 + (-19)\/1.\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-1 - -1) + (-2 - -2). Suppose 2*u + v*u - 12 = -5*q, -4 = -2*q. Differentiate 0*o + u + o + 0*o with respect to o.\nAnswer: 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-83*p + 48*p + 49*p + (2 - 2 - 2)*(-p + 4*p - 5*p) + 2*p + 3*p - 6*p - 2)*(4*p + p + 0*p) in the form z*p**2 + j + k*p and give k.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 5, 450027, -17.2?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find j, given that -3*j**2 - 258*j\/7 - 72\/7 = 0.\nAnswer: -12, -2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 5067.093 milliseconds in microseconds?\nAnswer: 5067093","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -1732 less than -226969\/131?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a + b = a + 12, 2*a = 2*b. Let x(q) = 92*q**2 + 18*q. What are the prime factors of x(a)?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/3 in 2\/9, -0.1, -10, -3?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 511 and 125633.\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0.5 (b) 3 (c) 2 (d) -1\/4 (e) 1 (f) -54\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.014 in 0, -1, 0.3, -103\/4, -4?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -5879826*c**4 + 4706*c + 879*c + 5880325*c**4 wrt c?\nAnswer: 5988*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 70 and 16729860.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 59 minutes before 4:10 PM?\nAnswer: 3:11 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t - 2*s - 298 = 188, 1263 = -5*t + s. Which is bigger: t or -248?\nAnswer: -248","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000332683279 to six decimal places.\nAnswer: -0.000333","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 35, 130, 287, 506, 787, 1130?\n\"Answer: 31*o**2 + 2*o + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n - 10 = 3*i + 2*n, 0 = 3*n - 3. Let k(t) = t**3 - 3 - 2*t + 5*t**3 + 2*t**2 - 5*t**3. What is k(i)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) be the first derivative of 3\/8*p**4 - 3\/4*p**3 + 10 + 3\/20*p**5 + 3*p - 3\/2*p**2. Factor y(i).\nAnswer: 3*(i - 1)**2*(i + 2)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 5959 and 177.\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t + 50 = 2*a, -2*a - 3*a = 3*t - 55. Solve t = 5*h - 5 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = g**3 - g**2 + 9*g + 3. Let m(c) = c**3 + 4*c**2 - 2*c + 3. Let z be m(-4). Let o be (z + -12)\/((-1)\/7). Let f be l(o). Round f to the nearest 100.\nAnswer: 400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -24, -12\/163, -0.2, -3?\nAnswer: -12\/163","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = -23*q**3 - 8*q**2 - 3*q + 4. Let h(z) = -15*z**3 - 5*z**2 - 2*z + 3. Give 8*h(o) - 5*p(o).\nAnswer: -5*o**3 - o + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 2\/15883 - -47639\/79415. Which is the smallest value? (a) 0.5 (b) j (c) -2 (d) 57 (e) -2\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -4 (b) 3 (c) -4748\/9 (d) -0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (2 - (-1 + 2))*4. Let l(q) = w + 3*q**2 - 3 + 0*q**2 + 1. What is the units digit of l(3)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -365549, -1462219, -3290001, -5848895?\n\"Answer: -365556*m**2 - 2*m + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -18713469*z**3 + z**2 + 57218574.\nAnswer: -56140407*z**2 + 2*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 374 minutes after 1:30 AM?\nAnswer: 7:44 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 123 and 1107.\nAnswer: 123","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: (3*4)\/(1\/7*-14)\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) be the second derivative of o**2 + 4*o + 7\/3*o**3 - 1\/12*o**4 + 0. What is the tens digit of q(10)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12 = 134*b - 137*b for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -8, 1\/7, 336, -2\/19 in decreasing order.\nAnswer: 336, 1\/7, -2\/19, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Does 402 divide 5831607?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 14841719 and 2519?\nAnswer: 229","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 19711?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 616 is divided by 376.\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 14*o**3*s**3*z - 19*o**3*s**2 + 2*o**3*s*z - 4*s**3*z**2 + 4*z**2 + 2 wrt s.\nAnswer: 84*o**3*z - 24*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 23*r**2 - 17*r**2 - 3*r**2.\nAnswer: 3*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d = 2, 4*f - 3*f - 5*d = -13. Let j = 1 - -2. Suppose p = 4*u - 13, j*u + 4*p = 13 + 11. Sort f, -5, u in decreasing order.\nAnswer: u, f, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 534\/91, 33, 1\/4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:50 AM and 4:01 PM?\nAnswer: 611","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gg when two letters picked without replacement from ffffgfgfffff?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 4311 (base 12) in base 4?\nAnswer: 1302331","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 5 + -2 - -1 - 4\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 711928?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = -2*r. Let g(y) be the third derivative of 17*y**5\/60 + 12*y**2. Calculate c(g(v)).\nAnswer: -34*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 4290 divided by 1430\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 62 is divided by (12\/(-9))\/((-2)\/24).\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1212209 to the power of 1\/7, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 30129110 and 22?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -59*z**2 + 21*z**2 + 17*z**2 + 12*z**2 + 16*z**2.\nAnswer: 7*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -62\/1304065 and 97\/553964.\nAnswer: 1027603220","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -2\/9, -61214, 4?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) be the first derivative of -5*o**4\/4 + 5*o**2\/2 + 6. Find the second derivative of b(m) wrt m.\nAnswer: -30*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 75193 at most 75191?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -542.1 + 841. Let w = s - 299. Let q = -10 - 4. Is w greater than or equal to q?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = -4*a**3 - 7*a**2 - 4*a. Is u(-4) a multiple of 32?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = 242*a**2 - 28*a + 211. Is q(10) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-3 - -1)\/(4\/134). Let f = 92 + a. Calculate the highest common divisor of f and 25.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 q and 1 k when four letters picked without replacement from {f: 5, w: 1, k: 8, q: 4}.\nAnswer: 8\/765","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 25 + -20. Suppose s = -1 + 4. Solve s + n = -2*c for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -643863*l**2 + 5*l + 643962*l**2 - 3*l.\nAnswer: 99*l**2 + 2*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 621?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 f and 1 v when three letters picked without replacement from {v: 4, f: 3}?\nAnswer: 12\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = 19*v**2 - v. What are the prime factors of w(1)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -4168469*t**2 + 4247095.\nAnswer: -8336938*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = 6697*x. Let t(z) = 3*z. Give v(t(a)).\nAnswer: 20091*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 671*c**3*f**3 + 78*c**2*f**3 + c**2 wrt c?\nAnswer: 4026*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v + 5 = -2*x, 2*v = -0*v + 4*x + 6. Let n = 22821364\/39 - 585259. Let i = n - -287\/3. Which is greater: i or v?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -1584, -6364, -14332, -25488?\n\"Answer: -1594*c**2 + 2*c + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 16522003 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000471422679 to 6 dps.\nAnswer: 0.000471","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r - 7 = 58. Let g = 343 - 204. Suppose 0 = 7*m + g - 482. Calculate the remainder when m is divided by r.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = -s**3 - s**2 - s + 6. Let i be 30\/4*(-48)\/(-20). Let b = i + -16. Suppose 4 = n + b*d, 5*d - 1 = 5*n + 9. What is x(n)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 7670 - -4602. Does 25 divide y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j = 4 - 0. Let m = j - 0. Suppose 3*n + m*g - 20 = -0, n + g - 8 = 0. Is n a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(832) - -3*(2 + sqrt(832)))*1 + 0.\nAnswer: 6 + 32*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of (-20)\/8*(-1)\/(5\/9110)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 d and 1 n when two letters picked without replacement from nwxwnrrnwrnndwrr?\nAnswer: 1\/24","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = v**3 - 21*v**2 + 6. Let c be j(21). Solve -5*r - 1 = -c for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = 13*h**2 - 17*h. Let y(f) = -3*f**2 + 4*f. Suppose -4*p - w - 36 = 0, 2*p + 2*w + 0 + 18 = 0. Determine p*y(t) - 2*c(t).\nAnswer: t**2 - 2*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v\/(v\/((v*v*v*v\/v**(8\/13))\/v))*v*v\/(v*v**(2\/9)\/v))**(37\/2) assuming v is positive.\nAnswer: v**(18019\/234)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1008.7 + -1009. What is the third biggest value in -5, -0.011, u?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1464*k - 783*k + 27472 + 24209 = 0 for k.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1126, 1136, 1148, 1162, 1178?\nAnswer: 1196","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*b + 3*s = 6, -3*b - 4*s = -6*b - 8 for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 417 and 15?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d*d**(1\/2)\/d)\/d*d**(-4\/15))**(1\/6) assuming d is positive.\nAnswer: d**(-23\/180)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 37109?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 2220021101 + 21012?\nAnswer: 2220112120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/7? (a) 0 (b) -42 (c) 3 (d) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -10034117*n*v**3 + 197*n*v + 605*n + 5*v**3 - 105*v wrt v?\nAnswer: -60204702*n*v + 30*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = -91*n - 11. Calculate t(0).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 2\/(-4) - (-1425)\/6. Suppose 4*j - 939 = a, j = 2*a - 4*a + w. Calculate the common denominator of j\/30 + (-4)\/(-6) and -47\/5.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u\/((u\/(u**(-4)*u))\/u))**(2\/13) assuming u is positive.\nAnswer: u**(-4\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 120058 is divided by 59455.\nAnswer: 1148","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*f**4 - 1100*f**3 + 5375*f**2.\nAnswer: 5*f**2*(f - 215)*(f - 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 616967 and 39.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 74 is divided by 43?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is five eighths of a kilometer in centimeters?\nAnswer: 62500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 6\/(-6) + 4 + 0. Suppose -m = 2*h - 5. Calculate the least common multiple of 3 and h.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {r: 6, z: 4}. What is prob of picking 3 z?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1457 + 969. Sort d, -3\/2, 5\/2 in descending order.\nAnswer: 5\/2, -3\/2, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c*(c*c\/((c\/(c*(c**42\/c*c)\/c))\/c))\/c*(c\/(c*c**(-12\/11)\/c*c)*c)\/c)\/((c**18\/c)\/c)**(1\/36) assuming c is positive.\nAnswer: c**(4420\/99)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 40 a factor of 1400?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 1530467, 1530445, 1530405, 1530341, 1530247, 1530117, 1529945?\n\"Answer: -s**3 - 3*s**2 - 6*s + 1530477","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 464624343 to the nearest integer?\nAnswer: 21555","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = -t**2 - 5*t + 4. Let x be r(-5). Suppose -x*w = w. Find the third derivative of -5*p**6 + 2*p**6 + 4*p**2 - p**2 + w*p**2 wrt p.\nAnswer: -360*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 80*q = 81*q - 34. Calculate the greatest common divisor of q and 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -62*v - 60*v**2 + 29*v**2 + 12*v**2 - 29 - 68*v + 131*v to the form j*v**2 + c + w*v and give j.\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) be the second derivative of -31*j**6\/10 + 363*j**2 + 9*j - 28. Find the first derivative of r(x) wrt x.\nAnswer: -372*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_test"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 33619437?\nAnswer: 3, 53, 70481","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 216893513 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((2*sqrt(136) - sqrt(136))*-5)\/(sqrt(32)*6) + 1 - -2*(sqrt(2448)*-1*5 + -2 + sqrt(2448) + -1))**2.\nAnswer: 5785*sqrt(17)\/6 + 22760633\/144","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*z**3 - 155*z**2 + 795*z - 1125 = 0 for z.\nAnswer: 3, 25","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2149398.\nAnswer: 2, 3, 43, 2777","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 196219937 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-10)\/384)\/((-8190)\/(-6552)))\/(2\/3).\nAnswer: -1\/32","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 27\/5 of a tonne?\nAnswer: 5400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3*l**2 + 4*l**2 + 0*l**2)*(-2 + 2 + 1)*((-1 - 1 + 8)*(-l + 0*l + 0*l) + (0 - 2 + 4)*(2 - 2*l - 2)) in the form y + n*l**2 + r*l + i*l**3 and give i.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5376 = -6*c + 2208. Let t = c + -5007\/4. Let v = -14\/1065 + -15493\/4260. Find the common denominator of t and v.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -404*j**2 + 1013*j**2 - 202*j**2 - 417*j**2.\nAnswer: -10*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-18)\/70)\/(-5 - (-517)\/110). What is the closest to 0 in p, -4, 0.7, 2\/17?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -3\/248 and -53\/14.\nAnswer: 1736","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 20381 and -145.1?\nAnswer: -2957283.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = i**3 + 7*i**2 + 2. Let y be j(-7). Suppose -w - w = y*t - 136, w - 3*t = 56. What is w rounded to the nearest 10?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) be the first derivative of -2 + 1\/9*l**3 + 1\/3*l + 1\/3*l**2. Factor q(d).\nAnswer: (d + 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 44, -4\/3, 18?\nAnswer: 18","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:23 AM and 3:07 PM?\nAnswer: 704","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: ((-51)\/(-153))\/(2\/14*105\/(-1350))\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(55)\/(sqrt(11)*1))**2*-4.\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00001591 rounded to seven dps?\nAnswer: 0.0000159","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 84 - 53. What is the units digit of g?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 322 minutes before 6:44 PM?\nAnswer: 1:22 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.14734 + 0.05266. Let s = -73\/5 + 15. Which is the nearest to v? (a) s (b) -2\/13 (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = -2*r**2 + 12*r - 7. Let t be x(5). Solve -3*n - 15 = -t for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 > 4\/144223423?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4466 is divided by 1116.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(119) + -2*(sqrt(119) + -2*sqrt(119) - sqrt(119)) + sqrt(119) + sqrt(119)*-1*-6)\/(-6*sqrt(42)\/sqrt(6)*4).\nAnswer: -sqrt(17)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 20510 and 112.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -4126, -3622, -3118, -2614, -2110, -1606?\n\"Answer: 504*t - 4630","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -3614, 0, -1, -19318 in decreasing order.\nAnswer: 0, -1, -3614, -19318","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = s + s - 4*m, -3*s + 4*m = -12. Suppose c + 24 = l - s*c, 0 = -4*l - 5*c + 69. Let i = 35 - l. Solve 5*n + f = 2*f - i, 2*n = 4*f - 20 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -72 * 2\nAnswer: -144","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does 26 divide 22023?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put 20, 1.8, -1, 0.0376, 1\/8, -0.4 in decreasing order.\nAnswer: 20, 1.8, 1\/8, 0.0376, -0.4, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 0 times 2.52277\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 18777?\nAnswer: 3, 11, 569","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 994534.9 micrograms in grams?\nAnswer: 0.9945349","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*o**2 + 40*o - 84.\nAnswer: -4*(o - 7)*(o - 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -34b75b36 - -5?\nAnswer: -34b75b31","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -32186\/97 - -33676159\/101462. Calculate the common denominator of 101\/4184 and b.\nAnswer: 4184","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5275?\nAnswer: 5, 211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1105 (base 6) to base 4.\nAnswer: -10001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -3\/26116 (b) 0.3 (c) 0.018\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p - 2*u = u - 17, -5*p + 4*u + 24 = 0. Suppose 95 = p*j + j. Suppose -4*k - j = -5*k. What is the tens digit of k?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6473063 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p - 7*p = 0. Let -1\/5*q**3 + 1\/5*q**5 + 0*q**2 + 0*q + 0 + p*q**4 = 0. What is q?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 935.\nAnswer: 5, 11, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -16 + -718.7631748419.\nAnswer: -734.7631748419","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) be the second derivative of -s**3\/6 + s**2\/2 - s. Let r be i(1). Factor r*n - 2\/5*n**2 + 0.\nAnswer: -2*n**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 44771822?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Divide 4577229 by -27.\nAnswer: -169527","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (5544\/23166)\/(4\/26).\nAnswer: 14\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 88828*n = 4*p + 88831*n - 23, -n = 3*p - 11 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yw when two letters picked without replacement from yhhw?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 l, 1 c, and 1 b when three letters picked without replacement from {l: 1, c: 5, r: 1, b: 3}.\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-4)\/(-6))\/(8\/348). Let f = o - 23. Suppose -7*z - 2530000 = -f*z. Round z to the nearest one hundred thousand.\nAnswer: -2500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {m: 1, b: 1, d: 4, e: 1, l: 2}. What is prob of picking 2 l and 1 m?\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 3131789, 12527116, 28185981, 50108390, 78294349, 112743864?\nAnswer: 153456941","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -19 - -10 - -13 - (-6 - 1553) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1 - -5. Let n be (-995)\/(-10) - 2\/h. Let k = -69 + n. What is the tens digit of k?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 299883 times 0.5?\nAnswer: 149941.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o + 2 = -2, w + 2*o = -2. Let s be w - (-5)\/(5\/(-12)). Let m = -7 - s. Solve m*c = -0*c + 3 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 439 minutes after 4:24 AM?\nAnswer: 11:43 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {s: 5, h: 1, u: 4}. What is prob of sequence suh?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -125\/308 and -79\/9676.\nAnswer: 745052","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (33*g - 24*g + 150*g)*((1 + 2 - 2)*(-1 + 5 - 2) - 4 + 7 - 1 + 4 + 26 + 34).\nAnswer: 10812*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12*r - 29*r + 16*r.\nAnswer: -25*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 610 minutes after 12:01 PM?\nAnswer: 10:11 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 54535 and 212745?\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -346654, -693435, -1040216?\n\"Answer: -346781*q + 127","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*s**2 + 3*s - 3*s)*(-s - 4*s + 4*s) + 8*s**3 + 1219*s - 1214*s - 6950*s**2 + 7022*s**2 as d*s + i*s**2 + a + l*s**3 and give l.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -38 divided by -9?\nAnswer: 38\/9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in 813.709 hours?\nAnswer: 2929352400000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y = 4*x - 268, 2*x + 3*y - 327 = -3*x. What are the prime factors of x?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14 = 5*n - k, -19*n = -24*n + 3*k - 22 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1600?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = -3*y - 2*l + 8, 3*y = -l + 19. Suppose -2*f - y = 0, -4*a + 0*a + 13 = f. Calculate the least common multiple of a and 18.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 469985479 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = -6*k**2 + 11*k - 18. Let f be g(12). What is f rounded to the nearest one hundred?\nAnswer: -800","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -85 + (-25 - (43 - 206))\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r + 0 = -4, 0 = -3*h + 3*r + 4275585. Suppose n = h + 304804. What is n rounded to the nearest 1000000?\nAnswer: 2000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s**(-2\/9))**(-12\/7))**(-12) assuming s is positive.\nAnswer: s**(-32\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -6 + 26. Calculate the smallest common multiple of h and 18.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 259992750 by -4.\nAnswer: -129996375\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Divide -42067569 by 408423.\nAnswer: -103","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 59\/15 + -23\/5. What is the fourth smallest value in -1, d, 1\/4, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -36 + (-32 - (24 - 76))?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -1171096 divided by 34444?\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Total of -21164929 and -0.1.\nAnswer: -21164929.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -5 - -10. Suppose 3 = w*y - 4*y. What is the first derivative of -2 - 4*s**3 + 1 - y wrt s?\nAnswer: -12*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 430, 841, 1252, 1663?\nAnswer: 2074","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7814892446?\nAnswer: 2, 107, 2111, 17299","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 14748 divided by 2\nAnswer: 7374","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 o and 1 k when four letters picked without replacement from kokkekkoeoeokeeoeeek?\nAnswer: 14\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -449818, -899769, -1349718, -1799665, -2249610?\n\"Answer: t**2 - 449954*t + 135","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = -1556*m - 115. Let r(g) = -311*g - 21. What is 11*r(n) - 2*w(n)?\nAnswer: -309*n - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -d (base 16) to base 13\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 57.70391 years to decades.\nAnswer: 5.770391","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (24\/16)\/((-36)\/(-5208)*(-10)\/(-70)*49).\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -106 + 108. What is the third derivative of 10*b**3 + 4 - 4 - 72*b**2 + 60*b**x wrt b?\nAnswer: 60","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 17\/150 and -30\/8963.\nAnswer: 1344450","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -165, 15 in ascending order.\nAnswer: -165, 1, 15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1 + 1. Let q(y) = -2*y**3 - y**2 + 1. Let b be q(1). Let m = b + g. Solve m = t - 6*t + 25 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -656, -652, -648, -644, -640?\n\"Answer: 4*g - 660","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 3, 24, 0 in descending order.\nAnswer: 24, 5, 3, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = o**3 + 9*o**2 + 3. Let w be s(-9). Is (-3)\/(-1)*55\/w prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -23403, -51467, -79529, -107589, -135647, -163703, -191757?\nAnswer: -219809","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -12.6 - -12.442. Let k = b + 0.232. What is k rounded to 1 decimal place?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: (1 + -18)*((-358)\/1969)\/((-2)\/11)\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 121 smaller than 4533?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0002437638 rounded to six dps?\nAnswer: -0.000244","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 869585 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*g - 5*q, q - 4 = -4*g - q. Suppose -3*u - s = g, 2*u = 2*s - 0 + 4. Is 3 - (u\/2 - 188) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*k + 45*k = 280 for k.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {w: 3, h: 4, e: 5}. Give prob of sequence wewe.\nAnswer: 1\/99","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = i**3 + 5*i**2 - 3. Let g be b(-4). Let q = g + 9. What is the remainder when q is divided by 14*(-1)\/((-7)\/6)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = 3*x**3 - 3*x**2 + 1855*x - 1855. Determine p(1).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -g**2\/5 + 23*g\/5 + 518\/5.\nAnswer: -(g - 37)*(g + 14)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6 + -3 + -3 + 3 + -2.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 220 divide 72991076?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -1963 divided by 382\nAnswer: -1963\/382","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*l - 3*l - 25 = 0 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:31 AM and 3:40 PM?\nAnswer: 609","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -66*i**4 + 618*i**3 + 55081*i**2 + 2?\nAnswer: -1584*i + 3708","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 h when two letters picked without replacement from hhhnhhzznnhnzznh?\nAnswer: 7\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = 14*c**2 - 1. Let q(r) = 22*r**2 - 3. Let i(b) = -36*b**2 + 5. Let d(k) = -3*i(k) - 5*q(k). Determine f(d(j)).\nAnswer: 56*j**4 - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 21 (base 9) to base 14\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -131431104 (base 7) in base 6?\nAnswer: -500350030","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -10 (base 5) to base 14\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*m**3 + 3*m**3 - m**3 + (5 - 1 + 1)*(m - m - 2*m**3) + 2*m**3 + 4*m**3 + 3*m**3 + (2 - 2 + m)*(m - m + 2*m**2) - m**3 + 3*m**2 - 3*m**2.\nAnswer: 6*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = 4*f**2 + f - 5. Let z be d(-4). Let v = 11 + -6. Suppose 2*p + v*q = 42, 0 = p - q - 5 - 2. What is the highest common divisor of z and p?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 21\/6*(5 - 1). Suppose -3 = -y + t - 1, -y - 5*t = -j. Let i(q) = 0*q + 3 - y + q. Give i(0).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -132 + 142 = 5*x for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve w - y = -3, -2*w - 3*w - 71*y + 67*y = -4*w + 8 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -866113, 5, -3 in descending order.\nAnswer: 5, -2, -3, -866113","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = -h**2 - 10*h - 15. Let y be s(-7). Let i be (4\/y)\/((-46)\/69). Let g(q) = 1 + q**2 + 2*q - 6*q**3 + q - q. What is g(i)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1157?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = 110*a + 8360. Let l be h(-76). What is the nearest to l in -4, 0.3, -1, -43?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 8*c**4 + 11*c + 10 - 5*c + 6 - 9 to the form a*c**2 + s*c**3 + k*c + y + f*c**4 and give y.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 + -39 + (43 - (-13 + 79 - 33)).\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 46613677 - 46613695.0000072. Let y = 0.8 + 17.2. Let z = w + y. What is z rounded to six decimal places?\nAnswer: -0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = -7*n + 2. Let w(i) be the second derivative of 13*i**3\/6 - 3*i**2\/2 + 5*i. Calculate -7*l(j) - 4*w(j).\nAnswer: -3*j - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 110110111 - 1111101?\nAnswer: 100111010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*a + 492 + 1950 = 0. What is the units digit of a?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 331 (base 11) in base 3?\nAnswer: 112201","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 19182\/11, 2\/13, -11, 21\/8?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1090260?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 653.9 + 7.8. Round y to the nearest one hundred.\nAnswer: 700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 157219172 to the nearest integer?\nAnswer: 12539","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -172 or -512\/3?\nAnswer: -172","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*j, 83*d + 5*j - 8 = 79*d for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -3230 + -1354?\nAnswer: -4584","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(304))**2 + 0 + 0.\nAnswer: 304","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -11745, -11741, -11735, -11727, -11717?\n\"Answer: m**2 + m - 11747","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:59 PM and 12:25 AM?\nAnswer: 386","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = -26*z - 52. Let t(w) = -26*w - 54. Let q(s) = -3*p(s) + 4*t(s). Is 49 a factor of q(-18)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let g = -2 - 0. Sort -0.2, 5, g.\nAnswer: g, -0.2, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -395 + 494 = -33*y for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = -f**2 + 5*f - 1. Let n(b) = -2*b**2 - 4 + 11*b - 2 + 3. Let t be (3 + -9)*(-2)\/4. What is t*n(u) - 7*a(u)?\nAnswer: u**2 - 2*u - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 t when two letters picked without replacement from ttttttttttttntntttt?\nAnswer: 136\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = -1 - 4*g + 3 - 3 - 2. Let o be d(-2). Suppose -o*k - 68 = -2*f, f - 4*f + k = -102. What is the tens digit of f?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-7 + 12 - 11) + (-7 - -2) + 11?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -0.3 + 374100908.1\nAnswer: 374100907.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*y**2 + 3*y**2 + y**3)*(-2 + 0 - 3).\nAnswer: -5*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 431?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -9 + -49. Let q = b + 102. Let a = q + -20. What is the tens digit of a?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*j - 2*y + 81 + 9 = 0, -j - 3*j - 4*y = -84 for j.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0 - 5 + 99*c**2 + 5.\nAnswer: 99*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*h**3 + 3*h**2 - 3*h**2 + (-2*h**2 - 21 + 13 + 15*h + 7)*(-2 + h + 2) to the form l*h**2 + j + n*h**3 + a*h and give l.\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -4? (a) 208 (b) 3\/7 (c) -161 (d) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.8624257 minutes in days?\nAnswer: 0.001987795625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -118, -297, -780, -1717, -3258, -5553?\nAnswer: -8752","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express 65*w - 126*w + 64*w + 51*w**3 + (-3*w**3 + 6*w**3 - w**3)*(4 - 3 - 2) as r*w**3 + x + l*w**2 + s*w and give s.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -12 + 9. Let r = -3 + 2. Let v = -11 - -10.5. Which is the second biggest value? (a) v (b) i (c) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -8559, 37, -0.4 in increasing order.\nAnswer: -8559, -0.4, 37","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1703535888?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 4\/(-22)*35 + 2. Suppose 0 = -358*b + 311*b - 235. Is b at most x?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t - 12 = -t. Let w(q) = -q**3 - 4*q**2 - 4*q + 1. Let m be w(t). Solve 0*h - 8 = m*h for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 497805 divided by 1946\nAnswer: 71115\/278","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 2.5 - 2.4. Let w = 4575\/103 - -136721\/3605. Let c = -426\/5 + w. Is c less than k?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or 137\/1102?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round 69525 to the nearest 10000.\nAnswer: 70000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14 = -2*t - 4. Let h(f) = -4*f**2 + 1 - 2 - 4 + 7*f. Let k be h(t). Round k to the nearest 10.\nAnswer: -70","meta":{"dup_signals":{},"source":"numbers__round_number_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l = 10, 0 = -4*i - 2*l + 4*l + 22. Let v(b) be the second derivative of 0 + 0*b**2 - 1\/12*b**4 + 1\/6*b**i + 4*b. Solve v(o) = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -9 + -3 + 11 + 1 + 1 + 9 + -26?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 20103331203 (base 4) to base 15.\nAnswer: 2d0910","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + sqrt(396)*2 + -5 + (sqrt(11) - 1*sqrt(11))**2 + sqrt(11).\nAnswer: -6 + 13*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = -2*q**2 + 39*q - 372. What is i(8)?\nAnswer: -188","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 3637 to the power of 1\/2, to the nearest integer?\nAnswer: 60","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8.46663 nanograms to grams.\nAnswer: 0.00000000846663","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*n - 4*n = n - 2*t - 9, -2*n + 4*t - 2 = -4*n for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*w - 11*g + 8*g - 2 = 0, 0 = w + 2*g + 10 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r**3\/9 + 188*r**2 + 15098*r\/3 + 43600\/9 = 0. What is r?\nAnswer: -25, -1, 872","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f + 5*c - 281 = -f, 2*f + 3*c = 186. Let m = f - -544. Is m a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3 + 3 + 2*y)*(2 - 20 - 2 + (1 - 4 + 2)*(1 - 2 + 0) - 1 + 0 + 2) in the form f + l*y and give l.\nAnswer: -36","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1*sqrt(363) - (-1*sqrt(300) + sqrt(300) + sqrt(300) - sqrt(300))) + sqrt(48)\/(sqrt(4) + sqrt(4)*2))**2.\nAnswer: 1225\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1068 + 1068. Let k(w) be the first derivative of -6*w + a*w**2 - 3 + 4\/3*w**3. Differentiate k(p) wrt p.\nAnswer: 8*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -3554, -3846, -4344, -5048, -5958, -7074?\n\"Answer: -103*x**2 + 17*x - 3468","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: (-4)\/8*((-8)\/(-6))\/(2448\/1512)\nAnswer: -7\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Total of 44 and -29050574620.\nAnswer: -29050574576","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 8 (base 9) in base 4?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-k**2 - 2*k**2 + k**2)*(-3*k + 6*k - k) + 704*k**3 + 560*k**3 - 337*k**3 to the form a*k**2 + b*k**3 + q*k + x and give b.\nAnswer: 923","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:33 PM and 10:50 PM?\nAnswer: 617","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 1011011001010111 (base 2) in base 6?\nAnswer: 1000035","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -2879 equal to -2879?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -6 - -9. What is the first derivative of 3 - 6*o**r + 21*o**3 + 14 + 5 wrt o?\nAnswer: 45*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-18)\/(-21)*(2 - 20\/12)?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = -275*s - 18. Let t(v) = 275*v + 15. Calculate -5*a(b) - 6*t(b).\nAnswer: -275*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = -5*n**2 + n - 1. Let y(p) be the third derivative of 1\/12*p**4 + 9*p**2 - 1\/3*p**3 - 7\/30*p**5 + 0*p + 0. Let i(o) = 8*x(o) - 3*y(o). Calculate i(2).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -86 + 95. Suppose -5*k + 3*y + 431 = 0, 2*y = -y + x. Suppose -7*n = -164 - k. What are the prime factors of n?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = 4*z - 68. Let f be j(14). Suppose 0 = 5*d - 61 - 29. What is the remainder when d is divided by f\/20 + 7\/(-5) - -14?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 10.1215 to 0 dps.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-45)\/(-6)*4*3\/(-18).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 43*s + 103 = -198 for s.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 2.2023 + -2.19. Let q = -207.0123 + i. Let g = 207.0091 + q. What is g rounded to 3 dps?\nAnswer: 0.009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yy when two letters picked without replacement from yey?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 1263 to the power of 1\/9, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = 106*i - 7. Let h be k(5). Suppose h + 22 = 5*p. Is p a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 24*w + 1615*w + 1890*w.\nAnswer: 3529*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 89030700 divided by 11638?\nAnswer: 7650","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ppp. What is prob of sequence pp?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 420980 and 294686.\nAnswer: 2946860","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 3603 + -2147. What is the units digit of j?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 109438 or 109440?\nAnswer: 109438","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand -8*h**2 - 13*h**2 - 8*h**2 + (-h + 6*h + 3*h)*(2 - 2 + h) + 2*h**2 + h**2 - h**2.\nAnswer: -19*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 12 - 7. What are the prime factors of ((-1)\/(-2))\/(b\/220)?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = -v, 2*m + 4*v = 3 + 1. Let u = -0.9 - 1. Let f = u - -1.9. What is the second smallest value in 2\/7, f, -0.2, m?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -862464 divided by -287488\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = -p**3 - 1. Let m(s) = s**4 + 6*s**3 - 177*s**2 + 163*s + 6. Let z(l) = -m(l) - 6*o(l). Find the second derivative of z(d) wrt d.\nAnswer: -12*d**2 + 354","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) be the first derivative of x**3\/3 + 5*x**2 + 16*x + 13. What is the tens digit of u(-14)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 69686 from -19.\nAnswer: -69705","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = -2140*d - 100. Let l(t) = -6420*t - 280. Calculate 14*a(o) - 5*l(o).\nAnswer: 2140*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in 31560.78ns?\nAnswer: 31.56078","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k**2\/3 - 148*k + 2195\/3 = 0. What is k?\nAnswer: 5, 439","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 0 (b) 1\/9 (c) -1\/5 (d) 8\/9 (e) 195\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1689*j = -4*a - 1690*j + 11, 0 = 4*j + 20 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 1373, 2748, 4125, 5504, 6885, 8268?\n\"Answer: t**2 + 1372*t","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 6, -0.728, -231?\nAnswer: -231","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*1*sqrt(60))\/(-2*sqrt(1452)).\nAnswer: sqrt(5)\/22","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 15063 - 7620. Let q = 44543\/6 - a. What is the common denominator of q and 70\/9?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (h**3 - h**3 - 6*h**3)*(432 + 41*h - 432).\nAnswer: -246*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00216322 rounded to four decimal places?\nAnswer: 0.0022","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 552?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 9 + -11 + -3 + 2 + 7.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 1062 a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 49 - 42. Suppose 0 = 2*h - m - 11. What are the prime factors of h?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 35 - 59. Let r = t + 26. Suppose p = -4*y - y + 43, -p - 13 = -r*y. Let x(z) = -z**3 + 9*z**2 - 6*z - 8. Determine x(y).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -25*r**2 - 1980*r + 2005 = 0. Calculate r.\nAnswer: -401\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -2 + 2.1. Let q be (-12)\/(-15)*(-70)\/196. Which is the closest to q? (a) j (b) 5 (c) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 9 - 5. Let m(w) = 5*w**2 + 14*w + 14. What is the remainder when m(-1) is divided by s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {n: 1, l: 1, k: 2, w: 3}. What is prob of picking 2 k and 1 n?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(sqrt(91) + -2*sqrt(91)))\/(sqrt(343) - sqrt(343)*-2)*4 - (4 + (sqrt(117)*2*6)\/(sqrt(108)\/(sqrt(48)\/sqrt(4)))).\nAnswer: -92*sqrt(13)\/7 - 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {q: 3}. What is prob of sequence qqq?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -786 in 0.04, 2, -2\/7?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = -z**2 + 18*z + 26. Let b be m(17). Let d = b + -16. Let w = d + -25. Let g(u) = u**2 - u. Determine g(w).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = 5*v**2 - 15. Let i(u) = -25*u**2 + 11*u + 101. Let b(r) = -8*r**2 + 4*r + 34. Let p(n) = 8*b(n) - 3*i(n). Let f(t) = -13*c(t) + 6*p(t). Factor f(g).\nAnswer: (g - 3)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*o + 4*t - 30, 41*o + 2*t - 8 = 42*o. Solve 0 = o*k - 7 + 13 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify s**(-20)*s**18 assuming s is positive.\nAnswer: s**(-2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is (-6 + 2 - (-4 + 2)) + 7?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = -x - 5. Let d = 7 - 12. Let u be w(d). Let g be 20\/2 + u\/(-1). Calculate the greatest common factor of 5 and g.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -114? (a) 1.2 (b) -12 (c) -0.092\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 102*i + 31 - 745 = 0 for i.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -24425 - 0?\nAnswer: -24425","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 165265214 to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 3667283 and 19222.\nAnswer: 1373","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.0089006 - -7.5141486.\nAnswer: 7.5230492","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2613 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 (base 11) in base 4?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*j = 2*r - 22, 726*r + 5 = 735*r - j for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n = -2*v - 7640, 0 = 54*v - 59*v + 10. What is the highest common factor of n and 588?\nAnswer: 196","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -61, -240, -547, -988, -1569, -2296, -3175?\n\"Answer: -j**3 - 58*j**2 + 2*j - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = -2*o**2 - 3*o - 2. Let s(a) be the first derivative of -4*a**3\/3 - 3*a**2 - 4*a + 3341. Give -2*s(d) + 5*u(d).\nAnswer: -2*d**2 - 3*d - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5364 divided by 6.\nAnswer: -894","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 15881 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 6479 and 1045?\nAnswer: 32395","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -1*(128\/10)\/((-2)\/(-5)). Let c be u\/(5\/(25\/(-10))). Solve c = 3*g + g for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:24 AM and 9:04 AM?\nAnswer: 400","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -1*1 - 22\/(-26). Let w = 11\/12 - 13\/6. What is the third biggest value in w, i, 1\/7?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -34 + 149. Suppose 0 = 3*j - 2*j - 23. Calculate the greatest common divisor of j and p.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -26480 or -26478?\nAnswer: -26480","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = 9*x. Let d(m) be the second derivative of 2*m**7\/315 + 175*m**4\/12 + m**2 - 198*m. Let y(i) be the third derivative of d(i). Calculate q(y(s)).\nAnswer: 144*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 767127.3 kilometers?\nAnswer: 767127300000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 969 + -917. Solve 51*n - l*n = 0 for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 283.2 + -282.4208. Round n to 1 decimal place.\nAnswer: 0.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = -24*w + 4. Let o be f(-8). Suppose 0*v - 4*v = -o. Let i = v - 41. Calculate the smallest common multiple of 5 and i.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1651, -1649, -1647?\nAnswer: -1645","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 498 a multiple of 128?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 3 - 11 - 8*p + 3 + 1 wrt p.\nAnswer: -8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -37368 + 54050. What is the hundreds digit of l?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 208 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -5.5 or -101?\nAnswer: -5.5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 261*k - 255 = 164 + 625. Solve 0 + 24\/7*s**3 + 0*s + 12\/7*s**2 + 9\/7*s**k = 0 for s.\nAnswer: -2, -2\/3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7259276119 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 10301+-13122\nAnswer: -2821","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = -u**3 + 8*u**2 + 8*u + 11. Let o be i(9). Let s be (o\/4*0)\/1. Solve -4*q + 0*q + 12 = s for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (((-3)\/(-1))\/(-3))\/1. What are the prime factors of z - 2 - (-33 - 1)?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -36*k - 8*k + 32*k.\nAnswer: -12*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5.32843ug to kilograms.\nAnswer: 0.00000000532843","meta":{"dup_signals":{},"source":"measurement__conversion_test"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/7? (a) -1 (b) 2 (c) 4 (d) 24\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 402*a*p**2*r**2 + 6449*a*p**2*r + 1865*a*p*r + 14*a*r**2 - p*r**2 - 372*r**2 wrt r.\nAnswer: 804*a*p**2 + 28*a - 2*p - 744","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 26480 is divided by 2403?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1094899?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Determine j, given that -2*j**3 - 250*j**2 - 494*j - 246 = 0.\nAnswer: -123, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express -2 + 0*h**3 + h**2 - 2*h + 0*h**2 + h - 2*h**3 - h**4 in the form u*h**2 + p*h**3 + i + a*h**4 + n*h and give a.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n + 143 = 2*f, -38*f = -43*f + n + 366. Calculate the remainder when 225 is divided by f.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from lvhplxxxxhiiiii. What is prob of sequence ipl?\nAnswer: 1\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 289937 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 0, -28, -76, -144, -232, -340?\n\"Answer: -10*r**2 + 2*r + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -140054 + -6.605\nAnswer: -140060.605","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 16\/24 - 5\/3. Put -2, 3, j in decreasing order.\nAnswer: 3, j, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/4? (a) -5 (b) -2\/3 (c) -3\/8 (d) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bb when two letters picked without replacement from {b: 3, n: 3, w: 10, u: 1, v: 2}?\nAnswer: 1\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -0.5, 3\/5, 1, 5\/58 in increasing order.\nAnswer: -0.5, 5\/58, 3\/5, 1, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -693 rounded to the nearest ten?\nAnswer: -690","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: (-1268)\/(-1585)*10\/(-224)*-2*6\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = 6*k**3 + 32*k**2 + 6*k + 9. Determine b(-9).\nAnswer: -1827","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z + 3 = 21. Suppose -5*s = -z*r + 4*r + 740, -4*r - 3*s = -564. What is the hundreds digit of r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 935423 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {n: 6, b: 1, a: 8}. What is prob of sequence nbna?\nAnswer: 2\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 218 to the power of 1\/2, to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 31 + -182306?\nAnswer: -1822b5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6277 = -7*n + 5*n + 3*v, 0 = n - 4*v - 3141. Is n prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*v**2 - 111218*v - 183290600.\nAnswer: -2*(v + 1700)*(v + 53909)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = -2*y + 53. Let p be f(0). Let o = -37 + p. Calculate the lowest common multiple of o and 8.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (21*l**2 - 87 + 87)*((11*l + 2*l + 15*l)*(0*l + l + l) + 1 + 2*l**2 + 1 - 4) to the form y*l**3 + b*l + h*l**4 + m*l**2 + w and give h.\nAnswer: 1218","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1165264 is divided by 16?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -11 + 1 + 8 + 0.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (21\/14)\/(-1*1). Let y = 2.4 + -0.4. What is the nearest to 4\/9 in l, 2\/9, y?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10100010010111010 (base 2) in base 4?\nAnswer: 110102322","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 v and 1 l when two letters picked without replacement from mmvmmlmmm?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = 64*y - 153. Let n(k) = 138*k - 308. What is -13*c(f) + 6*n(f)?\nAnswer: -4*f + 141","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*l**2\/3 - 175594456*l\/3 - 58531486.\nAnswer: 2*(l - 87797229)*(l + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 4.84 - 1.14. Let y = -0.3 - o. Which is the nearest to y? (a) -2\/15 (b) -5 (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u - 23 = 5*y + 20, 0 = 5*y - 5*u + 70. Let h be 1 + y + 5 + -7 + -1. Which is smaller: 1 or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -15, -11, -35, -111, -263?\n\"Answer: -4*t**3 + 10*t**2 + 2*t - 23","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -48*l + 5*y = -50*l + 26, -3*y - 3 = -5*l for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 564 minutes after 8:29 AM?\nAnswer: 5:53 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1*sqrt(132))\/sqrt(12) - (sqrt(176) + -1)) + (sqrt(55)\/(sqrt(5) + (sqrt(5) - (sqrt(5) - sqrt(180))*-6)))**2.\nAnswer: -3*sqrt(11) + 795\/784","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 3, -3, -62?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:02 AM and 8:14 AM?\nAnswer: 432","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sum -12945238.827 and 0.04.\nAnswer: -12945238.787","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*k**2 - 5*k**2 + 6*k**2)*(-22 + 22 + 18*k**2) + 0*k**4 + 2*k**4 + 2*k**4.\nAnswer: -14*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -10851, -2, -8, -93, 2.\nAnswer: -10851, -93, -8, -2, 1, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 39216 and 133.\nAnswer: 274512","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 4226603786?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round -50209.412 to the nearest one thousand.\nAnswer: -50000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7689 = -39*w - 7572. Suppose 3*z + 2*f = -2*f + 20, f + 2 = z. Solve z*s + 3 = w*s for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -36 - -18 - -17 - (1 + -2) - -25.\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 36124 + -26337. Is 5 a factor of z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 251 minutes before 9:40 AM?\nAnswer: 5:29 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -1, -0.1, 5, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Are -631396 and -631666 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = 3*s**2 - 50*s - 138. Determine q(19).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 2324, 2327, 2332, 2339, 2348, 2359?\n\"Answer: b**2 + 2323","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 133616936 to the nearest integer?\nAnswer: 511","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5\/(-380)*-4*131 + -7.\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = 27*c + 42. Suppose -3*m - m = 20. Let a(q) = 11*q + 17. Let b(r) = m*o(r) + 12*a(r). Calculate b(-5).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -14 - -18. What is the nearest to -2 in 0.4, -2\/11, k?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) be the second derivative of 4*h + 2\/15*h**5 + 0*h**2 + 1\/9*h**3 - 1\/30*h**6 - 7\/36*h**4 + 0. Suppose d(j) = 0. What is j?\nAnswer: 0, 2\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*w**3\/7 + 45*w**2\/7 + 216*w\/7 - 3888\/7.\nAnswer: -3*(w - 12)**2*(w + 9)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 48 and 464.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1223.\nAnswer: 1223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 13\/(-104) - (-7)\/24. Let w = -0.016 + -0.184. Which is the closest to w? (a) -0.1 (b) -2\/7 (c) -3 (d) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 39505552?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*s = 4*k - 10, 5*s - 28898*k = -28904*k - 10 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**8\/c)**(-22)\/(c*((c**(-4)\/c)\/c)\/c)**(-24) assuming c is positive.\nAnswer: c**(-298)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 + 14 + (-27 - (-130 - -77)) + 92?\nAnswer: 133","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 4*a**2*b**2 + 144*a**2 + 2*a*b**2 + 22174*a*b wrt a?\nAnswer: 8*b**2 + 288","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 3694284 and 388872?\nAnswer: 7388568","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-4)\/3)\/(0 + 4\/(-24)). What is the greatest common factor of 8 and w?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wtwx when four letters picked without replacement from {o: 1, t: 1, x: 2, w: 5}.\nAnswer: 5\/378","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = 2*d - 65. Let f be 2\/((-2)\/(-8) - 0). Suppose -z + 4*z = -4*o + 88, -4*z = 2*o - 124. Solve -4*g - f*b + 4*b = z, -3*b - d = 5*g for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 24184841 or 24184840?\nAnswer: 24184840","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o = -3 + 5. Let m(a) be the first derivative of 6 + 5*a**o + 0*a + 5\/3*a**3. What is the second derivative of m(q) wrt q?\nAnswer: 10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*p - 6*p = -600. Let z be ((-8)\/20)\/((-2)\/p). Solve 3*x + 11 = s, 4*s = 5*x - x + z for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -127521 + -19479. What is n rounded to the nearest one hundred thousand?\nAnswer: -100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3369480 a multiple of 86?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Divide 12778965 by -3.\nAnswer: -4259655","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (7\/(-2))\/(2\/(-4)). Let m = 17 + -15. Suppose 0*w - m*w + 14 = 0. What is the highest common divisor of w and h?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in -0.5, 2, -14?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -32 + 32. Suppose u = 44*z - 50*z + 240. What is the highest common divisor of z and 70?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) be the first derivative of r**4\/12 + r + 3. Let x(b) be the first derivative of y(b). Let k(q) = 4*q. Give x(k(a)).\nAnswer: 16*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.2 and -1181.\nAnswer: -236.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = -10*d + 29. Let m(n) = 3*n - 10. What is -7*m(h) - 2*s(h)?\nAnswer: -h + 12","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j**2\/2 + 4265*j - 18190225\/2 = 0. What is j?\nAnswer: 4265","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 12007?\nAnswer: 12007","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5623 is divided by 48\/(-32)*-4*194\/12.\nAnswer: 94","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -26 (b) 31\/52 (c) 0.2 (d) -3 (e) -4\/17\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = -4*w**2. Let g(k) = 6*k**2 - 3*k**2 - k**2 - k**2. Determine i(g(h)).\nAnswer: -4*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 14221 and 0.13?\nAnswer: 14220.87","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -191.3? (a) 73\/4 (b) 4 (c) 0.068\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u - 58 = -54. What is the common denominator of 37\/3 and (u\/(-60))\/(((-72)\/(-690))\/(-6))?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 12346 + 3*u**3 + 243*u + 246*u**2 - 6174 - 6172.\nAnswer: 3*u*(u + 1)*(u + 81)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 68*i = -264*i - 276*i - 6080 for i.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = 29*i + 8. Suppose -4*x - 5*k + 10 + 18 = 0, -k - 14 = -2*x. Is h(x) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v - f = -1216, -f - 726 = -3*v + 2*f. Suppose 45 = 9*d - v. What is the highest common divisor of 32 and d?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 119?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-26)\/(-65))\/((-507)\/(-840) - (-21)\/(-56)).\nAnswer: 7\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -4 (b) -0.4 (c) 1739 (d) 17 (e) -0.05 (f) 0.4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 43045\/66, -5\/2, -5.\nAnswer: -5, -5\/2, 43045\/66","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find x, given that 8*x**3\/3 + 8216506*x**2 - 6162380*x\/3 = 0.\nAnswer: -3081190, 0, 1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of -3 + 46861 - (-1 - 25 - -16)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.13 + -30.87. Let z = i + 29. Let a = -3 + z. Put -3, a, 0.4 in descending order.\nAnswer: 0.4, -3, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in 4, 7, -0.43, 8\/91?\nAnswer: 8\/91","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = 7*f - 9*f + 905*f**2 - 1877*f**2. Let i(k) = -2*k. What is d(i(h))?\nAnswer: -3888*h**2 + 4*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ppa when three letters picked without replacement from uuuaueieuapu.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor h**2 + 143257*h.\nAnswer: h*(h + 143257)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_test"},"subset":"dm_maths"} +{"text":"Question: Is 30520064269 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 5154.121 + -5325.261755. Let m = -144.14075676 - w. Let s = m - 27. Round s to 7 dps.\nAnswer: -0.0000018","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 130818?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor 15*x**2\/2 - 6080*x - 4055\/2.\nAnswer: 5*(x - 811)*(3*x + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 505335 and 232397?\nAnswer: 571","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 b and 1 y when four letters picked without replacement from {y: 5, b: 14}?\nAnswer: 455\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 361 is divided by (-237)\/(-2) - (294\/(-28) - -11).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 4849 and -0.32442.\nAnswer: 4848.67558","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 7398018?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 w and 1 q when two letters picked without replacement from {w: 5, v: 3, q: 1, p: 1}?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does 115 divide 397785?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 45 = -64*f - 19. Which is smaller: 1\/831 or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 28? (a) -2\/7 (b) 55 (c) 7\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 12635.95 + -0.5?\nAnswer: 12635.45","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 3787 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 4 and 686516.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*z**2 + z**2 + 97*z - 97*z.\nAnswer: 6*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 24 + 3?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = -7*b - 2. Let m(i) be the third derivative of i**5\/60 - i**4\/6 - 2*i**3\/3 - 7*i**2. Let p be m(3). What are the prime factors of o(p)?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 107820\/(-59301)*(-14)\/(-10)?\nAnswer: -28\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1 + 1. Let t = k + 2. Find the first derivative of 3*d**4 - t + 1 - 1 wrt d.\nAnswer: 12*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/7 in 0.3, -5, 2\/17, 3?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 90 is divided by 7.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 5 in 1\/5, -2\/15, -2, -2\/9, -0.22?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5632*o - 5720*o + 4230 = -11442*o for o.\nAnswer: -47","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 22056 is divided by 4305.\nAnswer: 531","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -77 + 79. Solve 24 = m + 5*o, o = -m + a*o for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 2\/197, 2\/9, -0.5, 5, 2\/3, -4?\nAnswer: 2\/197","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 86313.85 litres to millilitres.\nAnswer: 86313850","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:45 PM and 9:10 AM?\nAnswer: 685","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 366 divided by 6?\nAnswer: 61","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 259783?\nAnswer: 259783","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g + 5149 = -3*f + 874, -g - 5*f + 2170 = 0. Calculate the greatest common factor of 66 and g.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = 7*i**2 - 7*i. Let j(f) = 8*f**2 - 6*f. Let k = 6901 + -6904. Determine k*a(g) + 4*j(g).\nAnswer: 11*g**2 - 3*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let -6*n**5 - 3010*n**4 + 76606*n**3\/3 + 18026*n**2 + 3060*n = 0. Calculate n.\nAnswer: -510, -1\/3, 0, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 + 2143*h**2 + h**3 + 14 + 0*h**3 - 2423*h**2.\nAnswer: h**3 - 280*h**2 + 13","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from bbfffbbfbffbb. What is prob of picking 2 b?\nAnswer: 7\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-7)\/2*(-4)\/1260*-75.\nAnswer: -5\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = i**2 - 4*i + 2. Let g be m(4). Suppose -2 = 2*k - g*a - 8, 5*a = -5*k - 5. Let d = 22 + -17. Solve -h - d = -k for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-6)\/(-12)*2\/(2*-2)\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange q**2 - q**3 - q**2 + (-5*q + 0*q - 2*q + (3*q - 8*q + 2*q)*(-3 + 0 + 1))*(-2*q**2 + q**2 - q**2) to r + p*q + w*q**2 + y*q**3 and give p.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16284 = -6*s + 5598. Is s a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -99*i = 45*i - 50976. What is the tens digit of i?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) be the first derivative of -5*g**2\/2 - 4*g + 3. Let c(t) = 3*t + 2. Let u = 4 + -4. Suppose u = -2*r + 8 - 0. What is r*s(p) + 7*c(p)?\nAnswer: p - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.394598 to three dps.\nAnswer: 0.395","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (k - 2*k + 3*k)*(k**4 - 2*k**4 - k**4) + k**4 + 2*k**4 + 8*k**5 - 6*k**5.\nAnswer: -2*k**5 + 3*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*z - p + 9, -5*p = -z + 7 + 3. Let v be (27\/(-9))\/(0 + -1). Solve v*u + z = -2*u for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00664 to 3 decimal places.\nAnswer: 0.007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = -16*a**2 - 5*a - 5. Let s(k) = 15*k**2 + 4*k + 4. Determine -5*s(b) - 4*v(b).\nAnswer: -11*b**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 + 0 + -8 + (0 - -25 - (337 - 315)).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 8 + 4. What is the greatest common factor of b and 132?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -7 - -4. Let j = a - -8. Put j, 2, -4 in descending order.\nAnswer: j, 2, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -7324603 - 4?\nAnswer: -7324607","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 98 + -96. Suppose 6*z - n = 8*z - 450, 4*z = y*n + 900. What is the remainder when z is divided by 19?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11221201 (base 4) in base 13?\nAnswer: a6ba","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = -33*d**2 - 2*d + 8. Let h(c) = 38*c**2 + 2*c - 9. Let a(n) = -6*h(n) - 7*j(n). Let f(m) = -m. Let r be f(2). Give a(r).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(-4*-4*(sqrt(22) + sqrt(66)\/sqrt(12)))\/(sqrt(2) + (sqrt(2) - sqrt(242)*-1) - -2*sqrt(6)\/sqrt(3)).\nAnswer: -16*sqrt(11)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -23*x**3 + 279 + 53*x**3 + 398*x**4 - 30*x**3 wrt x?\nAnswer: 1592*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 30\/34553 and -24\/106711?\nAnswer: 33827387","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -13*p + 14*p. Let i = -8\/145 - -777\/11455. Is p greater than i?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 136, 4\/791, -2\/7?\nAnswer: 4\/791","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1.1 + -0.1. Suppose 14640 = 27*a + 708. Let d = a + -1550\/3. What is the nearest to 1 in d, -4, y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*c + 1279 + 457 = 0. Let a = -94 - c. Suppose t = 4*t + 3*u - a, -2*u - 233 = -5*t. Calculate the least common multiple of 2 and t.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.189 + -24.411. Let s = 25 + k. Sort 0.2, s, -43.\nAnswer: -43, 0.2, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-15)\/(585\/13))\/(33*10\/(-360)).\nAnswer: 4\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.0148 + 3.2448. Let p = q - 1.23. Which is bigger: p or -4?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 604?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -336 divided by 26250?\nAnswer: -8\/625","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -828a988 - 25?\nAnswer: -828aa02","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -5640, -5581, -5484, -5349, -5176, -4965, -4716?\nAnswer: -4429","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 37 at least -1\/20?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*w**4 - 448*w**3 - 1358*w**2 - 908*w.\nAnswer: 2*w*(w - 227)*(w + 1)*(w + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q - 12 = -63. Suppose -9*s + 33 = -12. Suppose -8*f + 255 = -s*f. What is the greatest common divisor of f and q?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1375567, 2751134, 4126701?\nAnswer: 5502268","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-2)\/1 - 5)*(-15)\/35.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*q = -3*q + 12. Solve -12 = -q*v - 4 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 315781 to the power of 1\/4, to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 4\/((6\/4)\/((-6)\/(-8)))\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-5)\/((-40)\/42) + -5. What is the closest to -0.1 in l, -15, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -18, -21, -10, 21, 78, 167, 294?\nAnswer: 465","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*u - 3*u + 6*u)*(6 - 4 - 1) + 2 + u - 2 - 13*u + 10*u + 10*u + (0*u - 3*u + u)*(1 + 0 + 0) - 85 - 13*u + 85 + (2 - 1 + 0)*(2*u - 5*u + 5*u).\nAnswer: -4*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m = -3*c - 2 + 17, c + 5*m = 5. Let t be 4\/18 + 884\/234. Is c at least t?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = t**2 + 12*t. What is r(-5)?\nAnswer: -35","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = c + 9. Let n be y(-4). Suppose 4 = -4*o + 5*u - 7, -15 = -n*u. What is the units digit of o?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 118.07 less than -0.3?\nAnswer: -118.37","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 6\/(-4)*-6*1. Let g(n) = -20*n**3 + 20*n**2 + 9*n + 9. Let h(f) = -5*f**3 + 5*f**2 + 2*f + 2. Let s(z) = p*h(z) - 2*g(z). Factor s(t).\nAnswer: -5*t**2*(t - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.2 * 3045\nAnswer: 609","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 452636?\nAnswer: 2, 113159","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 590 is divided by 210.\nAnswer: 170","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange k**2 + k**4 + 15*k**3 + k - 15*k**3 - 2 - 3*k to the form j*k**3 + z*k + l + i*k**2 + n*k**4 and give z.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Work out 2 - 820.\nAnswer: -818","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 285 and 6.\nAnswer: 570","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 0.03, -22.838106 in descending order.\nAnswer: 0.03, -5, -22.838106","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 30529\/((323\/(-209))\/(-17)) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*(sqrt(110)*2*3 + sqrt(110)))\/(-2*sqrt(10)*-6 + sqrt(20)\/sqrt(2)*-4).\nAnswer: -7*sqrt(11)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 10203 - 22011?\nAnswer: -11202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -17, -32, -47, -62?\nAnswer: -77","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 510, 577, 656, 717, 730?\nAnswer: 665","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zzmm. Give prob of sequence zz.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 987213 to the nearest integer?\nAnswer: 994","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + (0 + ((5*(sqrt(171) + 1) - sqrt(171)) + (sqrt(171) - ((sqrt(171) - sqrt(171)*-1) + 3)) - (sqrt(171)*2*3 + sqrt(171)*-1*-5)))**2.\nAnswer: -96*sqrt(19) + 10950","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of c**3 + 545827*c**2 + 315832*c - 1.\nAnswer: 6*c + 1091654","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*((((1 + sqrt(304) + sqrt(304))**2 - sqrt(304)) + 2)*-5 - (-1 + sqrt(304) + -3 - sqrt(304))*1)*1 + -1.\nAnswer: 360*sqrt(19) + 36545","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -3888 (base 13) to base 8\nAnswer: -17567","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-6)\/(-20))\/(5\/(-4)). Let w = 4\/25 - d. Which is the third biggest value? (a) -2 (b) w (c) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 68 = -4*y - 2*w, 3*w - 5 = 1. Let l be 4*(y\/(-8))\/3. Calculate the highest common divisor of l and 1.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = 37*n**2 + 8657*n - 241. What is f(-234)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 3878 a factor of 135193045?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express 26*v**2 - 5*v**2 - 2*v**2 in the form s*v + c*v**2 + m and give c.\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 6 + 7 + -13 + -3\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 28 - 28. Factor j*v + 13*v**2 - 11*v**2 + 4*v.\nAnswer: 2*v*(v + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 73\/(-3650)*(-13600)\/16.\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 3\/28 of a week?\nAnswer: 1080","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = a**3 - 7*a**2 + 23*a - 4. Calculate the remainder when 118 is divided by h(4).\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 137 divide (-2 + 6\/(-15))\/((-278)\/553915)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 + -16 + -41 + (-25 + 66 - 47).\nAnswer: -64","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ip when two letters picked without replacement from pppppppppppppppipi?\nAnswer: 16\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 429047.\nAnswer: 487, 881","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -100100212221221210 - -120?\nAnswer: -100100212221221020","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10 + 9 - 1806*f**2 + 1 - 1345*f**2.\nAnswer: -3151*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (46\/(-48))\/((-49)\/(-14)). Let c = -7\/12 + k. Calculate the common denominator of c and -3\/4.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00023018 to five dps.\nAnswer: 0.00023","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = a**2 + 146*a + 5303. Give z(-70).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 189.3473048 rounded to 0 dps?\nAnswer: 189","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-154)\/10 + (-12)\/20. Let u = 19 + a. Suppose u*j = 109 - 34. What is the remainder when j is divided by 7?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 5 + -3. Let l(n) = n**3 + 2*n - 6. Let u(f) = -2*f**3 - 5*f + 12. Suppose 2766*q - 10 = 2764*q. Let a(i) = d*u(i) + q*l(i). Differentiate a(v) wrt v.\nAnswer: 3*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w + w - 5*i + 24 = 0, -i + 4 = 0. Suppose 3*k + 21 = -2*k + 3*c, 0 = -5*c + 10. Calculate the lowest common multiple of (k - -4)\/(w\/(-2)) and 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -6.5 + 6.5. Let l(x) = x**2 + 4*x + 3. Let z be l(-4). Suppose -1 = -z*n - 4. Which is the nearest to d? (a) -1\/7 (b) n (c) -3\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -40, -18, 10, 44?\nAnswer: 84","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(637) + 1 - -4*(sqrt(13) + -1*sqrt(13))**2.\nAnswer: 1 + 7*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1185 - 1185.8. Let h be (-5)\/(-1 + (-66)\/10). Let t = 3\/19 - h. Which is bigger: t or f?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = -s. Let m(i) = i - 2. Let r(n) = 2*n**2 - 53*n - 319. Let u be r(-5). Calculate u*h(p) - m(p).\nAnswer: 3*p + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 196\/(-20) + (-10)\/(-1)?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -2*(-1)\/(-28)*4\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -3\/3422 or -1?\nAnswer: -3\/3422","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 933796?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -0.3, -2\/11, -9, -1.2?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -450*i**2*s - i*s**3 + s**3 + 10*s**2 + 39 wrt i?\nAnswer: -900*i*s - s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -893.52, -2, -6, -12.\nAnswer: -893.52, -12, -6, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/3? (a) 5 (b) -0.5 (c) 1.1 (d) 1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 5\/74, -17, -1, 0.05, -189?\nAnswer: 0.05","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 12*((-19)\/6)\/(-19)*24\/(-6)\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1139324971?\nAnswer: 479, 2378549","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/3361 < 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is q in 729*q**5 - 486*q**4 - 7992*q**3 + 18496*q**2 - 14848*q + 4096 = 0?\nAnswer: -4, 8\/9, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) be the first derivative of 32\/21*g**3 - 4\/7*g**4 + 6 + 1\/21*g**6 - 4\/35*g**5 + 16\/7*g**2 - 64\/7*g. Factor s(i).\nAnswer: 2*(i - 2)**3*(i + 2)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 + (-3 + (-2 - -4) - 4).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -32100 + 10?\nAnswer: -32030","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 8.2 + -83.2. Let u = -75.1 - b. What is the smallest value in u, -2\/3, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2153839 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = 2*f**3 - 5*f**2 - 4*f + 12. Let h be t(2). Let d(s) be the first derivative of -2 + 1\/20*s**5 + 0*s - 1\/12*s**3 + 0*s**4 + h*s**2. Factor d(n).\nAnswer: n**2*(n - 1)*(n + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/5 in 8, 5, -5, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3\/4 in -0.01, -1, -6, 2\/5?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1270783 to the nearest integer?\nAnswer: 108","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -1\/4, 487, -6.\nAnswer: -6, -3, -1\/4, 487","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -155, -570, -1133, -1844, -2703?\nAnswer: -3710","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 14565642.\nAnswer: 2, 3, 7, 13, 37, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor 16*g**3 + 4*g**2 - 16*g - 4.\nAnswer: 4*(g - 1)*(g + 1)*(4*g + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 52 + -30. Suppose -p + 0*p + 5*w + 10 = 0, 0 = -4*p + 2*w + g. Let a(s) = -s**2 + 5*s + 2. What is a(p)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 4659 to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of g**3*q*w**3*x + 8746*g**3*q*w**2*x - 203*g**2*w**3 - 141*q*w + 9*w**3*x wrt g.\nAnswer: 6*q*w**3*x + 52476*q*w**2*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 21\/5 of a litre in millilitres?\nAnswer: 4200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 5664 and 48?\nAnswer: 5664","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 3 - 4. Let f(g) = 21*g. Let y be f(l). What is the tens digit of ((-6)\/(-2))\/(-1) - y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12075407 a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*n + 18. Calculate the remainder when 81 is divided by n\/8 - (-87)\/4.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4*p**3 + 2*p**3 + p**3 - 3)*(7*p - 6*p + 3*p) in the form h*p**2 + d*p**4 + x*p**3 + m + q*p and give h.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 7\/6, 0, -5, -0.05, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = -9*s - 29. Let b be t(13). Suppose -g + 4 - 7 = 0. Let w = g - b. What is the highest common factor of 13 and w?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 49 - 44. Solve -g + 0*g = -i for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -84 by 1772.\nAnswer: -21\/443","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is -18 bigger than -97?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8995 is divided by 3890?\nAnswer: 1215","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 244 minutes before 9:33 AM?\nAnswer: 5:29 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.005494 to four decimal places.\nAnswer: 0.0055","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 201a278 - -27?\nAnswer: 201a2a4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -112212 - -2112?\nAnswer: -110100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(3\/7))**14 assuming i is positive.\nAnswer: i**6","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + 4*4*sqrt(2)*-1.\nAnswer: -16*sqrt(2) + 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -80680412*g + 133202699 wrt g.\nAnswer: -80680412","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.8 in -5, -18, 3, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-10)\/(-12) + (-1)\/((-60)\/430). Let m(t) = t**2 - 13*t + 41. Let o be m(x). Sort o, 5, 4, -2 in increasing order.\nAnswer: -2, o, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -30, -12, 18, 60?\n\"Answer: 6*i**2 - 36","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 1510, 1497, 1460, 1387, 1266, 1085?\n\"Answer: -2*j**3 + j + 1511","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = -i**3 + 47*i**2 - 114*i + 1087. Give n(45).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 2154a752 + 4?\nAnswer: 2154a756","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c + 5*u + 31 = 0, -69*c - 5*u = -65*c - 17. What is the remainder when c is divided by 3?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1888070, 7552294, 16992666, 30209186, 47201854, 67970670?\nAnswer: 92515634","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express (-185 - 120 + 158)*(2 - 4*c - 2) as o + v*c and give v.\nAnswer: 588","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1 - 2*g**2 + 2*g**4 + 4*g**2 + 8*g**3 - 11*g**3 to i*g + f*g**2 + a*g**4 + u*g**3 + w and give a.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 4499119387 to the power of 1\/2, to the nearest integer?\nAnswer: 67075","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = -201*h + 1407. Let v be p(7). Solve v = 4*f + 4 + 8 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 a and 3 k when four letters picked without replacement from {s: 1, y: 1, a: 1, z: 4, k: 5}?\nAnswer: 2\/99","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = -7*f**2 + 4*f + 1. What is r(2)?\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 12123 + -12117. Solve -2*w + 6 = 0, -4*w = 5*v - n*v - 11 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 0\/5*1\/(-3). Let u(n) be the first derivative of -3\/20*n**4 + 1 - 3\/25*n**5 - 1\/15*n**3 + 0*n - 1\/30*n**6 + s*n**2. Determine o, given that u(o) = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 42979 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 6 + -4. Let n = 23 + -45. Is n\/6*(i - 11) a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 3930 and 30?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 960?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.3 times -1911?\nAnswer: 573.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 479 - 7*t**2 - 3*t**2 - 6396*t + 6300*t wrt t.\nAnswer: -20*t - 96","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2360\/1062 - 1370*10\/(-1125)?\nAnswer: 72\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -1.23892264272 and -0.4?\nAnswer: 0.83892264272","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put together -7316617 and 0.5.\nAnswer: -7316616.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 544.\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = v - 5. Let q be k(13). Suppose -q*y + 202 = -318. Is 6 a factor of y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -16 - -17. Let s be (-3 + r)*120\/10. Let n be ((-32)\/s)\/(2\/3). Solve 3*y = -n*y - 20 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 34 in -0.4, -1\/5, -0.5, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = -7*y**2 + 14*y + 11. Let g(x) = 4*x**2 - 7*x - 5. Let c(m) = -5*g(m) - 3*j(m). Suppose 2*b - b = 9. Let o be c(b). Solve -q + o = q for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 169460 is divided by 6052.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 6, 135, -366, -2\/527?\nAnswer: 135","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) be the third derivative of -p**7\/210 + 8*p**3\/3 - 18*p**2. Find the first derivative of o(b) wrt b.\nAnswer: -4*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ccmbccccmmmccc. What is prob of sequence mmbm?\nAnswer: 1\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 195140 to the power of 1\/2, to the nearest integer?\nAnswer: 442","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) 4 (b) 2\/15 (c) 7\/8 (d) 1075\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 817679 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.1 greater than or equal to 834?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:28 PM and 6:14 AM?\nAnswer: 586","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 1117 times -0.05\nAnswer: -55.85","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Are 0.1 and 0.612 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express (2810*t - 3860*t - 7276*t)*(1 + 4*t + 0 + 1) in the form w*t**2 + v*t + o and give w.\nAnswer: -33304","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = x**2 - 88*x + 1935. Let y be w(44). Does y = -70?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -160 (b) 4\/5 (c) 157\/13 (d) 8 (e) -0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4524 = 2*x + 2*o, 73*x - 5*o = 75*x - 4524. Does 78 divide x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = -t**3 - 5*t**2 - 5*t - 1. Suppose -4*z = 8, 5*z = 5*m - 0*z + 10. Let w be n(m). Which is smaller: 1 or w?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 27072 a multiple of 192?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b = 2*w + 52, 0*w = -2*w - 4*b - 56. Let f = w + 43. Let n(d) = 3*d**2 + 8*d + 25. Let j be n(-3). What is the greatest common divisor of j and f?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*f**3 + 10077*f**2 + 8467197*f + 8457123 = 0.\nAnswer: -1679, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -1 (b) 4 (c) -3 (d) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert -30 (base 14) to base 13.\nAnswer: -33","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1*-17 - (-2068876)\/(-2224)*(-8)\/438.\nAnswer: -2\/219","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = -3*v**2 - 55*v + 18. Let d(h) = -15*h**3 - 2*h**2 + 4*h - 3. Let x be d(1). Calculate the remainder when j(x) is divided by 19.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 138 + -138.00000258. What is n rounded to seven dps?\nAnswer: -0.0000026","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 113917 - 4?\nAnswer: 113913","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(42)\/(sqrt(6)*3) + sqrt(77)\/(sqrt(11)*3).\nAnswer: 2*sqrt(7)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 1 - 5)*(-z + 0 + 0) - 7*z + 8*z - 13*z + 100 + 4*z - 100 + (1 - 1 + 2)*(-2*z + 0 + 0) - 2*z + 3*z - 2*z.\nAnswer: -10*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 (base 12) in base 16?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 2 - -1. Sort -4, -5, p in ascending order.\nAnswer: -5, -4, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 6.9 - 0.433.\nAnswer: 6.467","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 540650432.\nAnswer: 2, 7, 1206809","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00009676 rounded to 6 dps?\nAnswer: -0.000097","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + (sqrt(102)\/sqrt(6)*5 - sqrt(119)\/sqrt(7)*-1).\nAnswer: -2 + 6*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -4*b - 7*b - 10*b**3 + 2*b**3 - 14*b wrt b.\nAnswer: -48*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1 (base 8) to base 5.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 547.\nAnswer: 547","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = 2*g - 1. Let t(m) = 8*m. Determine -20*h(d) + t(d).\nAnswer: -32*d + 20","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert -101012002020011 (base 3) to base 12.\nAnswer: -1991441","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ptqp. What is prob of sequence qt?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = a**3 - 6*a**2 - 2. Let l be f(5). Let m = l - -39. What is the units digit of m?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o*o**(4\/13)\/o)**(6\/23)\/(o\/o**(-12))**2 assuming o is positive.\nAnswer: o**(-7750\/299)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) be the first derivative of 6*d**2 + 18. Let s(o) = -o. Give a(s(x)).\nAnswer: -12*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express (-9 + 2 - 43)*(3*k + 1 + 1 + 0*k) as i + y*k and give y.\nAnswer: -150","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 77688453.\nAnswer: 3, 17, 137, 11119","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort -26, -4, -1, -3 in decreasing order.\nAnswer: -1, -3, -4, -26","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 303 minutes before 6:56 PM?\nAnswer: 1:53 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*o**3\/3 - 2*o**2 - 4*o\/3 = 0 for o.\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 144 minutes after 2:22 AM?\nAnswer: 4:46 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 171777*t - 114591 wrt t?\nAnswer: 171777","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -13024, -24853, -36682, -48511?\n\"Answer: -11829*g - 1195","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 56 - 46. Calculate the lowest common multiple of (-8)\/(-44) + 86\/11 and 4\/(-10) + 104\/q.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from jurrrrurrrzzjrrj. Give prob of sequence rjr.\nAnswer: 9\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b + 5*s + 105 = 8*b, -s = 5*b - 117. Solve -b*r = -2 + 48 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = -p**2 - p + 1. Let o be d(2). Let y(t) = 2*t + 12. Let a be y(o). Solve a*k = 2*v - k + 10, -k + 8 = 4*v for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4956189.\nAnswer: 3, 7, 53, 61, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence td when two letters picked without replacement from tdddtdttdddddddt?\nAnswer: 11\/48","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Add together -404 and -1.793.\nAnswer: -405.793","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -1391, -5660, -12785, -22766, -35603?\n\"Answer: -1428*a**2 + 15*a + 22","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 273 and 120939?\nAnswer: 273","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*g**2\/5 - 56*g\/5 + 392\/5.\nAnswer: 2*(g - 14)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 9 - 7. What are the prime factors of 89\/m - (-3)\/6?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 41715 + 41715 + 3678*q**2 - 83432 as m + j*q**2 + p*q and give m.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ppprxmpmmx. Give prob of sequence rx.\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:04 AM and 11:06 AM?\nAnswer: 482","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 351443, 351228, 350875, 350390, 349779, 349048, 348203, 347250?\nAnswer: 346195","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 22 divide 89525172?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 6 and 3410673.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 31 - 10. Let k = 44 + -40. What is the remainder when (-1)\/(-1) + 35 + k is divided by w?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = -u - 6. Calculate h(-12).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-330*354\/10620)\/(11\/97).\nAnswer: -97","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00029505183 rounded to four dps?\nAnswer: 0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 35574 is divided by 2180.\nAnswer: 694","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.2 and 583.4?\nAnswer: 116.68","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*b - 20, -u - 6*b = -b + 18. Suppose 2*n - 116 = -u*n. Calculate the remainder when n is divided by 8.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1716 (base 12) to base 7\nAnswer: 11013","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 bigger than 1.4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*m + 24 = -13*m + m for m.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 6, -2, 0, 11 in decreasing order.\nAnswer: 11, 6, 0, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 709*g - 725*g = -80 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -260 - -697. Let o = -437.2 + d. Which is the third smallest value? (a) -2 (b) o (c) 7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 101 - -1100011?\nAnswer: 1101000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = 137*y - 15. Let u(q) = 424*q - 45. What is 8*d(v) - 3*u(v)?\nAnswer: -176*v + 15","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -3 divided by -3\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 12115071, 24230139, 36345205, 48460269?\n\"Answer: -u**2 + 12115071*u + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 120 + 161)*(m - 3*m - m).\nAnswer: -837*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 515 and 7084855?\nAnswer: 515","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2179853 to the nearest integer?\nAnswer: 130","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + ((1 + sqrt(1053))*3)**2 + (sqrt(1053) - (sqrt(1053)*2 + sqrt(1053) + -5) - sqrt(1053))**2 + (sqrt(1053) - (-1 + sqrt(1053) + -1)) + 4.\nAnswer: -108*sqrt(13) + 18994","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -12262*p*v**3 + 7663*v**3 wrt p.\nAnswer: -12262*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-5)\/(10\/6))\/((-27)\/4)?\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence po when two letters picked without replacement from oooooopoooppop.\nAnswer: 20\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 51 - 34. Let g = -9 + a. Solve 23 = -5*k + 3*x, -3*k + 2*x = g + 6 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = -21*v + 2*v - 7*v - 3*v + 5*v. Let t(q) = -3*q. Calculate j(t(k)).\nAnswer: 72*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express 1022*o - 1509 + 1509 as n + h*o and give h.\nAnswer: 1022","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6, -239, -4, 0, -3, -9, -72 in descending order.\nAnswer: 0, -3, -4, -6, -9, -72, -239","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = m**2 + 23*m - 5. Suppose -16*u = -14*u - 42. What is the tens digit of k(u)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = -6*c - 1. Let h be (1 + -11)*(-10)\/25. Suppose -h*q - 9 + 1 = 0. What is the tens digit of v(q)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 8385681 to the nearest integer?\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 5*(-2 + (-26)\/(-10)). Let t be (-1)\/(-2) - l\/(-2). Suppose t*v = -2*v + 104000. What is v rounded to the nearest ten thousand?\nAnswer: 30000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) be the first derivative of -7*t**4\/4 - t**3\/3 + 4*t**2 + 2. Let i(s) = 13*s**3 + 2*s**2 - 15*s. What is 11*h(o) + 6*i(o)?\nAnswer: o**3 + o**2 - 2*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = -6*b - 4. Let v be a(-4). Let o = v + -9. What is the remainder when o is divided by 6?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f + 162 = d, -8*d + 3*d + 40 = f. Let h = f - 37. Calculate the remainder when (17 - h)\/((-1)\/77) is divided by 20.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 529471.7 years?\nAnswer: 5294.717","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 b and 2 q when three letters picked without replacement from {q: 16, b: 2}?\nAnswer: 5\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express (-523 + 431 - 304)*(5*q + q**3 - 4*q + q) in the form r + g*q**3 + d*q**2 + y*q and give y.\nAnswer: -792","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vvvvvvvvv. Give prob of sequence vv.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 162 and 320490.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = 201985*n. Let r(m) = 2*m**2 + 102. Give r(f(t)).\nAnswer: 81595880450*t**2 + 102","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9052 - 0.03.\nAnswer: 9051.97","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round -32800 to the nearest 1000.\nAnswer: -33000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 44465805?\nAnswer: 3, 5, 988129","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 4934159?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Divide -62688988 by 173174.\nAnswer: -362","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = 2*n - 4. Let x(f) = -1. Let k(j) = 3*j + 1. Let i(y) = -k(y) - 6*x(y). Let p(h) = -4*i(h) - 5*m(h). Let z(b) = -12*b + 7*b - 14*b. Give p(z(t)).\nAnswer: -38*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2074792 is divided by 127?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 10625 and 3533100?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 12857587943 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*1*(sqrt(252)*-1 + 2) + (sqrt(7) + 0)**2*5 + -2 + (sqrt(336) + sqrt(21))\/sqrt(3)*-4.\nAnswer: -2*sqrt(7) + 27","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mwmwmww. What is prob of picking 1 w and 1 m?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = -4*p + 96. Calculate o(28).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Are -883 and -66235 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 83\/392 and 71\/84.\nAnswer: 1176","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -66 (base 7) in base 16?\nAnswer: -30","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -12 - -12. Suppose -10*b - y - 26 = -15*b, d = -b - y + 10. Calculate the remainder when 835\/45*b + 1\/(-3) is divided by 28.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5604550.\nAnswer: 2, 5, 7, 67, 239","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 26040 = -1180*x - 78980 for x.\nAnswer: -89","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x - 2 + 6 = 0. Let h(o) = -7*o**2 + 139019*o + 2 + 3*o**2 + o**3 - 139022*o + 2*o**2. Let t(a) = -a**2 + a + 1. Give x*t(d) + h(d).\nAnswer: d**3 - 5*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:46 AM and 5:46 AM?\nAnswer: 60","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 85913324227 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = -m**2 + 11*m - 20. Let o be s(8). Let p(y) = 2 - 3 + 0*y - 3*y + o*y. Calculate p(-4).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((v*v**40)\/v*v*v**16\/v)\/(v**(-29))**(23\/3))**27 assuming v is positive.\nAnswer: v**7515","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = 977025193*x + 1. Let g(w) = 2*w. Determine n(g(q)).\nAnswer: 1954050386*q + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -2010324 (base 6) in base 3?\nAnswer: -11210221121","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 1166 divide 38479350?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-1)\/((-374)\/51)*((-1 - -2) + 7). Sort h, -4, 1\/3 in descending order.\nAnswer: h, 1\/3, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 9 - 17. Let g = -6 - o. Find the third derivative of -z**4 + 0*z**2 - z**g + 3*z**4 wrt z.\nAnswer: 48*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(-5*sqrt(30)\/sqrt(5) - (sqrt(6) - sqrt(216)*2))\/(4*(sqrt(2) - (1*sqrt(2) - sqrt(2))) - sqrt(4)\/sqrt(2)*3))**2.\nAnswer: 3888","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((v\/(v**16*v)*v)\/(v*v**(-13)\/v))\/(v*v*v*((v*v*v\/v**(1\/4))\/v)\/v*v*(v**12*v)\/v))**(-12\/11) assuming v is positive.\nAnswer: v**(225\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 6853 a multiple of 24?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y - 4*k - 12 = 0, -4*y + 1 + 18 = -3*k. Let t = -1 - -3. Suppose -t*n - 24 = -5*f - 2, y*n = -4. Solve c + c + 10 = 0, -f*a + 5*c = -13 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*z + 5*r + 10, -z + 4*r = -4*z - 8. Suppose z = 5*x + 2*p - 8, 5*x = -3*p - 3 + 15. Let l be 10\/((-2)\/3*-1). Solve -q - 2*q - l = x for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -22927, 0.4, 5, 2\/9, -3\/2 in decreasing order.\nAnswer: 5, 0.4, 2\/9, -3\/2, -22927","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round 52263.3847 to the nearest one hundred.\nAnswer: 52300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 65117039 is divided by 555?\nAnswer: 554","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = 377*f + 9578. What is the ten thousands digit of p(17)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -12 + (42\/(-18))\/((-3)\/9) + 31\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -49\/218420 and -37\/32.\nAnswer: 1747360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*x - 2*x = -720. What is x rounded to the nearest 100?\nAnswer: -200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = -17*o**3 + 9*o**2 + 5*o - 5. Let u(i) = -26*i**3 + 14*i**2 + 8*i - 8. Let w(q) = 8*g(q) - 5*u(q). Find the third derivative of w(l) wrt l.\nAnswer: -36","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2259 (base 10) in base 4?\nAnswer: -203103","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:37 PM and 8:30 PM?\nAnswer: 473","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 137\/6467508 and -73\/13333698.\nAnswer: 1946719908","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1.1 + 1.4. What is the nearest to 1\/2 in -1, h, 3?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-7)\/4)\/(1\/4)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -3 + -93481?\nAnswer: -93484","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = -3*n**3 + n**2 + 3*n - 1. Let u(s) = 2*s - 144 - 11 - 2*s**3 + 3*s + 11*s**2 + 9 + s**3. Calculate the lowest common multiple of p(-3) and u(10).\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 1, 108.13, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = -210*c. Let r(n) = -3*n. Let y(j) = 75*r(j) - z(j). Let d(b) = -13*b**2. What is d(y(u))?\nAnswer: -2925*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 17\/4 of a litre?\nAnswer: 4250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) be the second derivative of -v**4\/4 - 455*v**3\/2 - 681*v**2 + 6201*v. What is l in k(l) = 0?\nAnswer: -454, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 187546 to the nearest integer?\nAnswer: 433","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 25640.\nAnswer: 2, 5, 641","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 66907691.\nAnswer: 66907691","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = -967*a + 26129. What is y(27)?\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 5? (a) -4 (b) -2 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 4, k: 1, e: 1, v: 2}. What is prob of sequence vv?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -2.71 - -1.07. Let i = j - -0.04. Which is bigger: i or -2\/5?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.214 and 19.77.\nAnswer: -4.23078","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**0\/((b**(2\/13)*b)\/b))**(-1\/30)\/(b**(-2)\/((b\/(b**(-1)*b))\/b))**(4\/15) assuming b is positive.\nAnswer: b**(7\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 147284804593 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -303 + -641. Let v = -270 - s. Is v a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = o**2 - 3*o - 19. Let n be x(6). Let z = 62.8 - 63. What is the nearest to -1 in z, -5, n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = -f**2 - 6*f - 7. What is r(-8)?\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f + 2*u = -2*f + 12, 4*f + 5*u = -4. Suppose 0 = y - f*c - 1, -2*y = y - c - 25. Let l be y*-1*(-3)\/9. Solve -3 = -z + 4*m, -l*z = 2*m + 2 + 17 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 567052 or 567053?\nAnswer: 567052","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 0 + 0 - (-2132)\/26 is divided by 21.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x + 1104 = 5*f - 4*x, 0 = -4*f + 4*x + 888. Let q = f + -59. What is the hundreds digit of q?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 5822?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 1450 to the power of 1\/3, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -31 - 25 + 56 + 12013*v - 53353*v.\nAnswer: -41340*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1205517177?\nAnswer: 3, 133946353","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = -n**3 + 9*n**2 + 10*n - 7. Let t be h(10). Let w(o) = o - 20. Let k be w(9). Let a = t - k. Solve -7 + 3 = -a*v for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 372 + -375 + (1 - -1) + -1 + -10?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = -y - 48. Let x be c(0). Let t be (x\/(-9))\/(1\/18). Suppose 10 = u - 2*a, -7 = -0*u - u + 5*a. What is the greatest common divisor of t and u?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -16825\/9 or -1870?\nAnswer: -1870","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 320, 333, 352, 377, 408, 445, 488?\nAnswer: 537","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -8936.61 rounded to the nearest 1000?\nAnswer: -9000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Divide 490212 by 54468.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = -2*q**2 + 3*q - 1. Let n be ((-6)\/(-4))\/(6\/8). Let h be m(n). Let s(f) = -41*f - 1145. Let l be s(-28). Sort l, 5, h, -6 in ascending order.\nAnswer: -6, h, l, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -11, -43881771, 1 in descending order.\nAnswer: 1, -11, -43881771","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -62 + 66. Suppose 4*x = b*y + 8, 0*y - 2*y = -4*x + 10. Suppose 0 = x*m + 2*s - 38, 2*s = 3*m - 2*m - 10. Solve -d + m = -4*d for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -69, -81, -131, -237, -417, -689, -1071?\n\"Answer: -3*u**3 - u**2 + 12*u - 77","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 770, 1558, 2358, 3176, 4018, 4890, 5798, 6748?\n\"Answer: u**3 + 781*u - 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 h, 1 g, and 1 q when three letters picked without replacement from {h: 1, g: 2, f: 7, q: 1, x: 1, a: 2}?\nAnswer: 1\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = 6*q**2 + 24*q + 36. List the prime factors of z(-48).\nAnswer: 2, 3, 353","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = -2*g. Let b = 2 - -17. Let f = -15 + b. Let u(p) = 10*p + f*p + 2*p - 18*p. Calculate y(u(w)).\nAnswer: 4*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = 20*m**2 + 10*m - 7. Let w(u) = 9*u**2 + u - 3. Let h(b) = p(b) - 3*w(b). Give h(-1).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 25 + -16. Let l be (-2*t\/12)\/(-3). Let z = 1.8 - -0.2. Which is the closest to -0.2? (a) z (b) 5 (c) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 140468558 to the nearest integer?\nAnswer: 520","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-1)\/(-4))\/(1\/8). Suppose 4*m - 18 = -3*q, y*q = -0*q - m + 7. Determine c so that -c + 1 - q*c**2 + 1 + c**2 + 0*c**2 = 0.\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*m - 2289 + 2254 for m.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = -o**3 - o**2 + o - 4. Let w be z(0). Let l = 5 - 1. Let q = 5\/2 - l. Which is the second biggest value? (a) q (b) -5 (c) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 5\/(-20)*18*112\/(-1596). Which is the nearest to -1\/4? (a) 1\/15 (b) 1 (c) q (d) -1\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = -72*u - 51. Calculate c(-2).\nAnswer: 93","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -20171 or -20172?\nAnswer: -20171","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 966.9 + -966.5. Let u = -3.4 - -0.4. Put 1, o, u in increasing order.\nAnswer: u, o, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -135, -268, -401, -534?\n\"Answer: -133*w - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = -3*m**3 + 81*m**2 - 37*m + 1007. Give f(27).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-105)\/(-6)*(-5670)\/(-46305).\nAnswer: 15\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 287 = p + j, -p + 5*j + 333 - 52 = 0. What is the highest common factor of p and 390?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide -57*(-1)\/2*364\/21?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -76 + 35. Let g = -68 - t. Let m be ((-6)\/2*-1)\/(90\/(-840)). Is m at least g?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 232 a factor of 57784?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {r: 3, k: 1, x: 2, b: 4}. What is prob of sequence kbr?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (7*f - 4*f + 0*f)*(6*f - 2*f - 2*f) + 0 - f**2 + 0 - 22 - 6*f**2 + 22 to the form k*f + u + m*f**2 and give m.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -312 divided by 6\nAnswer: -52","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1401852 and 4692.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2\/(-3))\/((4312\/(-441))\/(-44)).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence sc when two letters picked without replacement from {m: 4, s: 1, h: 2, c: 7}.\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:38 PM and 10:15 PM?\nAnswer: 277","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = -33*c**2 - 64*c - 374. Calculate y(-5).\nAnswer: -879","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1.9 or -13?\nAnswer: -1.9","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 254.5 + 41.5. Sort -1, f, 2 in descending order.\nAnswer: f, 2, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 2, j: 1, e: 3, q: 1}. What is prob of picking 1 j and 1 e?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -133 + 90. Let d = w - -48. Solve -2*i - 2*z = 2, -3*i - z = -2*z - d for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ogto when four letters picked without replacement from {q: 6, t: 4, g: 5, o: 4}?\nAnswer: 5\/1938","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -291 * 13\nAnswer: -3783","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (7 + 30*j**2 - 7)*(-15*j - 20 + 25*j - 12*j) to the form i*j**2 + y + a*j + d*j**3 and give i.\nAnswer: -600","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-4)\/(-266))\/(20\/140).\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = k**3 - 7*k**2 - 8*k - 2. Let y be x(8). Let i = y - 2. What is the nearest to 0 in 1\/3, i, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 29 + 41 + (-129 - -38)?\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.14 in 0.07, -0.5, -3, 1?\nAnswer: 0.07","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/4, 5, -2, 1.1, -5 in decreasing order.\nAnswer: 5, 1.1, -1\/4, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jj when two letters picked without replacement from {x: 1, o: 4, c: 1, j: 2}?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 4307913, 8615809, 12923705, 17231601, 21539497?\nAnswer: 25847393","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z**3)**(-4\/7)\/((z\/z**15)\/(z*z\/(z*z**14)*z)))**(2\/11) assuming z is positive.\nAnswer: z**(4\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = -c**3 - 23*c**2 - 31*c + 155. Calculate t(-21).\nAnswer: -76","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b = 35*s - 38*s - 1440309, -3*s = -5*b + 1440285. Round s to the nearest 10000.\nAnswer: -480000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-4)\/((-112)\/42))\/(-3)*-14\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*n = 3*k - 5*n + 9, 2*n + 4 = 0 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 22 (base 13) to base 10.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) be the second derivative of b**6\/15 + 3*b**5 + 281*b**4\/6 + 232*b**3 - 1008*b**2 - 4524*b. Let l(o) = 0. Calculate o.\nAnswer: -12, -7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 806613929.\nAnswer: 11, 73328539","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = 2*n**2. Let s(q) = -25*q**2 - 5*q + 5. Let u(p) = 13*p**2 + 3*p - 3. Let h(w) = -3*s(w) - 5*u(w). Calculate t(h(j)).\nAnswer: 200*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*c = 18*c + 4*k - 24243, 0 = -c + k + 4845. What is the tens digit of c?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 not equal to 9.702584?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*k - 45 + 9 = 0 for k.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 40897?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -9 - -4. Let x(t) = t**3 + 5*t**2 + t + 5. Let z be x(n). Let d = 13 + z. What is the units digit of d?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -5301 + 2574. Let n = 805 - a. Let c = n - 2315. Is c composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 293 minutes before 1:21 PM?\nAnswer: 8:28 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-2)\/(-6)*6)\/(38\/(-2))?\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 14108?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 128014218 to the nearest integer?\nAnswer: 504","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -87\/5 or 0.3?\nAnswer: -87\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is -23151848 less than -23151842?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -236610 divided by -5\nAnswer: 47322","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -210 - -201. Is 769\/(-8)*(m - -1) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 7334, -206, 15 in ascending order.\nAnswer: -206, 15, 7334","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.192 - 0.092. Put 5, l, -1\/6 in decreasing order.\nAnswer: 5, l, -1\/6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 62 - (-7 + 10 + (0 - -12) + -11).\nAnswer: 58","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {q: 1, k: 2, s: 5, x: 1, l: 3, j: 3}. What is prob of picking 2 s and 1 x?\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 100362170?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(sqrt(5)*4*6)**2 + (sqrt(35) - 4*sqrt(35)*-2)\/sqrt(7).\nAnswer: 9*sqrt(5) + 11520","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f = -3*f - n + 7, -n = -3*f + 13. Suppose l + f = 0, s - 2*l + 6*l = 360. What is the hundreds digit of s?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-2)\/(-1))\/6*((-3256)\/88)\/37*-141?\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_test"},"subset":"dm_maths"} +{"text":"Question: What is 3\/5 of a centimeter in millimeters?\nAnswer: 6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = -o**3 - 19 + o**2 + 20 + 0*o + o. Let q = 86 + -86. Calculate s(q).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 22 and 1614173?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 95\/98 and 83\/469211974?\nAnswer: 3284483818","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -2 + 2. Suppose -5*a + j*a = -25. Suppose -a*v - 9 = -44. What is the units digit of v?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 10.0499*0.29\nAnswer: 2.914471","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 52907.52824 + -52913. Let n = c - -5.48. Round n to three dps.\nAnswer: 0.008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:09 AM and 5:36 AM?\nAnswer: 207","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1 + 3. Suppose -f*v - 59 = -5*x, -x = -5*v + 4*x - 80. Let p = 33 + v. List the prime factors of p.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 100\/7*1386*145\/57420.\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(2 + (3*sqrt(252))**2 + 2*sqrt(252) + -2).\nAnswer: 48*sqrt(7) + 9072","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-23)\/1932*-42)\/(2\/164)?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 274 minutes after 8:29 PM?\nAnswer: 1:03 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = 12*b - 10. Suppose 120*g = 118*g + 38. Calculate the remainder when f(7) is divided by g.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) be the second derivative of w**5\/10 - w**4\/4 + 2*w**3\/3 + 7*w**2\/2 + 6*w + 7. Let a(r) = 2*r - 9. Let j be a(7). Is i(j) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -6 - -12. Let b(p) = -p + 6. Let v be b(5). Calculate the smallest common multiple of v + 7 + 0 + -1 and u.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1477617 to the power of 1\/6, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 169*k - 206064 = 25*k. Calculate the highest common factor of k and 135.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.39265204 to two decimal places.\nAnswer: 0.39","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -87, -24, 319, 1080, 2397, 4408, 7251, 11064?\nAnswer: 15985","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -36039, -36043, -36049, -36057?\nAnswer: -36067","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*p + 1468 = 1540 for p.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ds when two letters picked without replacement from sfxnfdxu?\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k - t - 26 = t, 3*t = -4*k - 31. Let r be ((-2)\/k)\/(14\/168). Let g(c) be the third derivative of -c**4\/12 + 3*c**3\/2 + c**2. Calculate g(r).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z**(-1\/4)*z)**36)**16\/((z*z*(z*z\/z**(2\/7))\/z)**(-7\/5)\/(z**(-1))**(3\/4)) assuming z is positive.\nAnswer: z**(8701\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 284*x**3 + 286*x**3 - 568*x**3 - 57.\nAnswer: 2*x**3 - 57","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 2\/5, 1\/5, -45, 0, 2\/3, 11\/39, -15?\nAnswer: 11\/39","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -10*g + 5*g - 5, -3*n + 5 = g. Suppose 14 = 9*y - n*y. Solve -5*w = -y + 17 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = d**2 + d + 6. Let n be o(0). Let l(c) be the second derivative of c**3\/6 - 51*c. Determine l(n).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 136, 4, -4, -70.\nAnswer: -70, -4, 4, 136","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 16 in -0.4, 3\/40, -1\/6, -2?\nAnswer: 3\/40","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 3 - (1500219\/429 - 2). Let d = 3492 + w. Which is smaller: -1 or d?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -95\/10384 and -125\/9086.\nAnswer: 72688","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -3*k**3*v**3 + 6*k**2*v**3 - 13*k**2 + 6*k*v**3 - 29*k*v**2 wrt k.\nAnswer: -18*k*v**3 + 12*v**3 - 26","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = 7*l. Let d be x(7). Suppose -5*j = -c + 17, 0*j = -3*c - 5*j - d. Let g = 12 + c. Sort -0.09, -2, g in descending order.\nAnswer: g, -0.09, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 8427724 or 8427728?\nAnswer: 8427724","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 4dc2 + 1?\nAnswer: 4dc3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 48184353 divided by 5353817?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -782 = 36996*z - 36962*z for z.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 123401013847 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Divide -246 by -1.\nAnswer: 246","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3 in 0.03, 2\/57, 2\/5, 1\/3, 1, 0.09?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 17153.8 times 10\nAnswer: 171538","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 501, 503, 505, 507, 509?\nAnswer: 511","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b*b**(-6\/5)*b)\/b*(b\/(b\/b**(1\/13)*b))\/b*(b**(-1\/2)\/b)**(1\/30) assuming b is positive.\nAnswer: b**(-113\/52)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 85949125?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_test"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**6\/l*l*(l**(2\/9)*l)\/l*l**(-1\/4)*l\/(l**(-6)\/l))\/(l**(-2\/3)\/(l\/(l\/(l*l\/(l**4\/l)))*l)*(l**6\/l)\/l**(2\/7)) assuming l is positive.\nAnswer: l**(2501\/252)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*v + 9 + 11 = 0 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*i + 2, -2*g - 3*i + 3 = -0. Suppose -6 = -7*c + 5*c. Suppose g = c*x - 19 - 32. What is the tens digit of x?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -30*w**5 - 51*w - 7*w + 2*w**5 - 85*w + 2*w**5 wrt w?\nAnswer: -520*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = 50*a**2 - 3*a + 2. Determine v(1).\nAnswer: 49","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = 23*v + 63. Let r be g(-3). Let t be (5\/(-25) - r\/30) + 3. Let d(s) = -s**2 + 2*s - 1. What is d(t)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 27*x + 6*x - 26*x + 77*x to the form l*x + d and give l.\nAnswer: 84","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) be the second derivative of b**5\/60 - b**4\/24 - b**3 - 27*b**2 + b + 10. Let r(l) be the first derivative of d(l). Suppose r(m) = 0. What is m?\nAnswer: -2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -91\/36234 and -101\/10158330.\nAnswer: 1005674670","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -17865051 divided by -35517.\nAnswer: 503","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 4 - ((5\/(-2) - 8) + -2 + 8)\nAnswer: 17\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 + -1 + -1 + -1 + -1?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4077 is divided by 40.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -57500957*q**3 - 5512*q**2 - 5836 wrt q.\nAnswer: -345005742","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = 56*z**2 - 4*z - 6. Let l be w(4). Suppose -l = -14*o + 12286. Is o a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -21\/110 + 317\/220. Let i = -1 - -2. Put h, 3, i, 5\/3 in descending order.\nAnswer: 3, 5\/3, h, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 70*d**2 - 635999*d - 8*d**3 + 2 + 635999*d to o*d**3 + f + x*d + r*d**2 and give r.\nAnswer: 70","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-7)\/2*(-1 - -3). Let x(v) = v**2 + 6*v - 5. What is the smallest common multiple of x(w) and 14?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = 71*p**3 - 1278*p**2 + 31*p + 3. What is v(18)?\nAnswer: 561","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 1000011101 (base 2) in base 3?\nAnswer: 202001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1852280 and 80?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 u when four letters picked without replacement from uuiiuuuuuiuuuuiiuu?\nAnswer: 143\/612","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 1686?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i + g + 3*g + 17 = 0, 2*g + 10 = 0. Let z(k) = 2*k**3 + 9*k**3 + 2*k**i - 1 - k - k**2 - k. Let u = 111 + -112. What is z(u)?\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 2393, -0.1, 3\/55, -3?\nAnswer: 2393","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 6566 and 98.\nAnswer: 98","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is (7 + (2 - 14) - (-6 - -113)) + (-3 - -11)?\nAnswer: -104","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*w**5\/2 + 375*w**4\/2 + 9375*w**3\/2 + 78125*w**2\/2.\nAnswer: 5*w**2*(w + 25)**3\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 717167 to the power of 1\/4, to the nearest integer?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Determine o so that 2*o**5 - 156*o**4 + 1796*o**3 - 7056*o**2 + 10874*o - 5460 = 0.\nAnswer: 1, 2, 3, 7, 65","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = -13*h. Let d be 64\/34 + (-10)\/(-85). Let o(q) = 9 - d*q - 13 + 4. What is c(o(u))?\nAnswer: 26*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1484, 4175, 8074, 13181, 19496, 27019, 35750?\nAnswer: 45689","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -429, -424, -415, -402, -385, -364?\nAnswer: -339","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ry when two letters picked without replacement from ybyrbbrrb.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -25 + 30 - (-2 - -3 - 1)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) be the first derivative of -8 - 1\/3*g**3 + 13\/2*g**2 - 2*g. What is the tens digit of d(9)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in 0, 7, 2\/9, -7?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -119? (a) -1 (b) -5 (c) -95\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) be the second derivative of -t**3 - t**2 + 11*t. Let b be w(-1). Is (60 - -3)*b\/12 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) be the first derivative of 0*b + 0*b**2 + 5 - 2\/3*b**3 + 1\/210*b**5 + 1\/1260*b**6 + 1\/84*b**4. Let w(l) be the third derivative of h(l). Factor w(m).\nAnswer: 2*(m + 1)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1141 (base 13) in base 5?\nAnswer: -34134","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -27 + 27.044. Let g = 5.444 - h. Let f = g - 5. What is the second smallest value in 0.3, f, -5?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(5 + 3*(sqrt(200) + (-1 + sqrt(200))*5)**2 + (-1 + (sqrt(200) + -2*sqrt(200) + sqrt(200))**2 - ((-2*sqrt(200) - sqrt(200))**2*-6 - sqrt(200)))).\nAnswer: -97437 + 5370*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 33 + -33. Suppose 0 = -l - 3, h = -3*c + l - 2*l + 3. What is the second derivative of -18*r**2 - 26*r**2 + 36*r**c - 3*r wrt r?\nAnswer: -16","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(-5)\/((a*a**(2\/11)*a)\/a))\/((a**(-5\/6)\/a)\/(((((a*a\/(a\/(a**1\/a)))\/a)\/a)\/a)\/a)) assuming a is positive.\nAnswer: a**(-485\/66)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 9 (base 12) in base 13?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = u**4 - 3*u**3 + 2. Let b(t) = 2*t**4 - 4*t**3 + 4*t**3 - 4*t**3 + 3. Let p(m) = -2*b(m) + 3*o(m). Find k such that p(k) = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000093001 rounded to seven dps?\nAnswer: -0.0000093","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3715235?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = -s**3 + 10*s**2 + 11*s + 3. What is z(11)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 2.54*64\nAnswer: 162.56","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put 280, 10, -53 in descending order.\nAnswer: 280, 10, -53","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 10376629727 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u = t + 2 + 3, 3*t = -2*u + 6. Suppose -w - d + 1654 = 2*d, 0 = 4*w + t*d - 6624. Is w a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 35671 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = 98*z - 32*z - 33*z - 37*z. Let i(p) = 26*p. Give i(t(o)).\nAnswer: -104*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1522, 1512, 1494, 1468, 1434, 1392, 1342?\nAnswer: 1284","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 14202 and 1271868.\nAnswer: 1578","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(68) - (-2 + sqrt(68) + -3))**2 - ((6*(sqrt(68) + sqrt(68) + -2))**2 - sqrt(68)).\nAnswer: -9911 + 578*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -21 or -24?\nAnswer: -21","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 7.74, -2\/11, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2209057?\nAnswer: 67, 32971","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round -20795 to the nearest one hundred.\nAnswer: -20800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 1\/2 + (-45)\/(-10). Let j = -11 + 15. Let r be (-6)\/15*1*(-10)\/8. Which is the smallest value? (a) 0 (b) j (c) s (d) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 24b54a1 - -1?\nAnswer: 24b54a2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -445 in -196, -218, 0.5?\nAnswer: -218","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.05339 - 146?\nAnswer: -145.94661","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v + v - 18 = 0. Let l be (80 + -77)\/((-3)\/356). Let x be ((-2)\/(-5))\/(v + l\/60). Solve -s - x = s for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7.525791 centuries to years.\nAnswer: 752.5791","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 547 minutes before 9:11 AM?\nAnswer: 12:04 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 2571739 rounded to the nearest one hundred thousand?\nAnswer: 2600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1457 is divided by 30.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 1130 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 z = -14 - -17. Let c be (2 + z\/(-6))*8\/6. Suppose 3*n + 4*v = -n + 76, -5*n + c*v = -102. Is n a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -4950375 by -15.\nAnswer: 330025","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.743834 rounded to one dp?\nAnswer: -0.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 132, 1039, 2572, 4737, 7540, 10987, 15084, 19837?\nAnswer: 25252","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 39503?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = y**3 + 12*y**2 - 7*y - 21. Let n be r(-14). Let d be ((-1)\/((-8)\/6))\/(n\/168). Is d at most as big as -2.5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 6, 3, 35, 3\/5 in decreasing order.\nAnswer: 35, 6, 3, 3\/5, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 114, 448, 1000, 1770?\nAnswer: 2758","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -18989? (a) -3 (b) 53 (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Are -3 and -56\/13 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 522?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -6 + (10 - 606\/140) and 5\/7.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4250438 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 838472480 to the power of 1\/6, to the nearest integer?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 0.4, -0.3, 10, -5?\nAnswer: 10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*r**5 - 3*r**4 + 4496*r**3 + 329074*r wrt r?\nAnswer: -40*r**3 - 36*r**2 + 26976*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*p + 2*f - 18 + 30, 5*p - 2*f = 16. Let o = -74 + -10. Let m be (-290)\/o - 8\/28. Which is smaller: p or m?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000844252633 rounded to five decimal places?\nAnswer: 0.00084","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Add 152180 and -392305.\nAnswer: -240125","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -207, -416, -625, -834?\nAnswer: -1043","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = -4*z - 1. Let r(n) = -7*n - 2. Let q(k) = -5*k + 6. Let h be q(6). Let x be ((-9)\/(-12))\/(3\/h). Determine x*r(p) + 11*j(p).\nAnswer: -2*p + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2238, -8919, -20052, -35637, -55674, -80163, -109104?\nAnswer: -142497","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = -b**2 + 22*b - 49. Suppose -4*l - 149 = -229. Calculate x(l).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -2 + 4192a46?\nAnswer: 4192a44","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -447, -1430, -2401, -3354, -4283?\nAnswer: -5182","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 387195286 to the nearest integer?\nAnswer: 729","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 141496?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u - 117 = -393. Let w = 114 - u. Calculate the remainder when w is divided by 12.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*o + 0*o + 35*o**3 + 14*o**3 - o.\nAnswer: 49*o**3 + 2*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 12432 or 12428?\nAnswer: 12428","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 130\/(-39)*(-11)\/(-935).\nAnswer: -2\/51","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k\/(k**(-9)\/k))\/(k\/k**(2\/19)))\/(((k*k*k**(2\/3)*k)\/k)\/k*k**(-1\/3)) assuming k is positive.\nAnswer: k**(500\/57)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -253 + -3ed0d?\nAnswer: -3ef60","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 a and 1 s when two letters picked without replacement from zqsbfaz.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 721?\nAnswer: 7, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = p**2 - 138. Give b(0).\nAnswer: -138","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 - ((13 - (-8 - -21)) + -1 + 18).\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 814\/(-1221)*2\/((-28)\/(-3)).\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:07 AM and 8:18 AM?\nAnswer: 491","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 2\/3079 (b) -31.2 (c) 0.01\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 198 minutes before 9:38 AM?\nAnswer: 6:20 AM","meta":{"dup_signals":{},"source":"measurement__time_test"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 14 and 161?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find m, given that -4*m**5 + 3912*m**4 - 932736*m**3 - 11606872*m**2 - 38113020*m - 27442800 = 0.\nAnswer: -7, -4, -1, 495","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pppp when four letters picked without replacement from ppppppp?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 1c + -18?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:58 AM and 11:29 AM?\nAnswer: 391","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express 15380*f + 5530*f - 410*f in the form w*f + j and give w.\nAnswer: 20500","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 85775 is divided by 21.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k**0)**(-6))**(-14)*((k\/k**(5\/3)*k*k)\/((k\/(((k**(-2\/11)\/k)\/k*k)\/k))\/k))**26 assuming k is positive.\nAnswer: k**(-728\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 8007820 a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 72005796 a multiple of 467?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*f**5 + 0*f**2 + 0*f**2 + (2*f**4 + 0*f + 0*f)*(0*f + 3*f - f) + (2*f**5 - 4 + 4)*(-3 - 2 + 2 + (2 + 3 - 3)*(4 - 5 + 2))*(2 - 5 + 1).\nAnswer: 6*f**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.0074 + -2296616166.\nAnswer: -2296616166.0074","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k - 2*u - 8 = 0, 0*u - 11 = -3*k + 5*u. Which is the biggest value? (a) k (b) 0.3 (c) 0.4 (d) -1\/6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.2 and -379.0877?\nAnswer: 75.81754","meta":{"dup_signals":{},"source":"arithmetic__mul_test"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -237, 1\/4, -0.07?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 15021?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 28 + -24. Suppose -y*d + 156 = 64. Let v(w) = w**2 + 13*w - 35. What is the remainder when d is divided by v(-16)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -53 divided by -53\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 507907 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 35 + (-21 - -7) + -5\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 92 divide 449442?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 41 = 2*m - 0*l + 3*l, -4*m + 4*l + 52 = 0. What are the prime factors of m?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-15)\/(-2)*8\/(-12).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) be the second derivative of h**4\/12 + 37*h**3\/6 - 29*h**2\/2 - 100*h. Let v be f(-38). Solve 4*m = m - v for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -7539, -15188, -22917, -30726?\nAnswer: -38615","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 1.554892224 and 71027?\nAnswer: 71025.445107776","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = -g**3 + 11*g**2 + g - 14. Suppose 4*k + 0*q - 51 = -5*q, 2*k - 4*q = 6. List the prime factors of b(k).\nAnswer: 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 382b (base 13) in base 12?\nAnswer: 4750","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*q - 23 = 4*m - 38 + 3, 0 = q + 3*m - 9 for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v + 56 = -3*h - 0*v, h + 5*v + 2 = 0. Let n be (-6)\/h + 25\/9. Suppose n*x = 4*x - 4. Is x prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*x**3\/7 + 4*x**2\/7 + 2*x\/7 - 4\/7.\nAnswer: -2*(x - 2)*(x - 1)*(x + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = 16*f**2 - 19*f + 30. Calculate y(3).\nAnswer: 117","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 83? (a) -60 (b) -2573 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2 - 148932*a + 148947*a + 2.\nAnswer: 15*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u*u\/u**(1\/2))**(16\/11)*u**(15\/4)\/u*u*u**(1\/17)*u*u)**7 assuming u is positive.\nAnswer: u**(41839\/748)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify v**(-19)*v*v\/v**2 assuming v is positive.\nAnswer: v**(-19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 7555, 7569, 7593, 7633, 7695, 7785, 7909, 8073?\n\"Answer: a**3 - a**2 + 10*a + 7545","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 521278 and 6208?\nAnswer: 194","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -3 - -3. Suppose -2*s = -5*n + 23, k = s + 4*s - 5. Solve t + 0*t = -n for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -6.931 + 1.931. Which is the closest to -0.7? (a) y (b) 3\/14 (c) 2\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = 2*m**3 - 9*m**2 + 2*m + 7. Let t be h(4). Let x(y) = 19*y + 4. Let o be x(t). Which is smaller: o or -20?\nAnswer: -20","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ll when two letters picked without replacement from jjjlyvjjjjeyyljavajj?\nAnswer: 1\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1257 - -1258. Which is bigger: -6.57 or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-26)\/12)\/((-22)\/(-44)) - -5. Determine l so that 4\/3*l - 2 + r*l**2 = 0.\nAnswer: -3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-1431)\/(-81) - 16) + 149\/(-3)?\nAnswer: -48","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 23736179 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6 + (-3 + 11 - 7) - (-3 - -37).\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = -d - 27*d + 13559 - 13560. Calculate k(2).\nAnswer: -57","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 13655 to the nearest integer?\nAnswer: 117","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 83\/68 and 61\/1724.\nAnswer: 29308","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express -4*f + 3*f - f + ((1 - 1 - 2)*(4*f - 2*f - 4*f) - 17*f - 19*f + 31*f)*(2 + 2 - 3 + (-4 + 3 + 2)*(-3 - 17 - 13)) as y + s*f and give y.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -27 - -50. Let j = 245.2 - 218. Let y = -27 + j. Which is smaller: y or c?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1082984 and 2784816?\nAnswer: 19493712","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i = 2*d + 32, 3*i - 5*i - 2*d - 8 = 0. Let w be ((-2)\/i)\/(4\/12). Sort w, 4, -4 in decreasing order.\nAnswer: 4, w, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -694 - -29063. What is the units digit of s?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = -3*g**2 - 1. Let d be -1 + 1 + -10 + 16. Suppose -x + d*x - 3*s - 11 = 0, 0 = 4*x - 2*s - 8. Determine n(x).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 94499, 188841, 283183, 377525?\n\"Answer: 94342*j + 157","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-20)\/(-25))\/((-2)\/5) - 0?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 25496648.\nAnswer: 2, 491, 6491","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is one quarter of a hour in seconds?\nAnswer: 900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q = c, 4*q + c = -1 - 0. What is the closest to -0.1 in q, 0.1, -2\/3?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2916 divided by 36\nAnswer: 81","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -9679698, -9679683, -9679666, -9679647, -9679626?\n\"Answer: v**2 + 12*v - 9679711","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 35640526 to the nearest integer?\nAnswer: 329","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 536 and 299021.\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = 2*v - 1. Let m be f(2). Suppose m*w + 179 = a, 5*w = -5*a + 4*w + 927. Is a a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) be the third derivative of -r**7\/5040 - r**5\/60 + r**2. Let m(w) be the third derivative of k(w). Let j(p) = -2*p. Calculate m(j(d)).\nAnswer: 2*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -5025 divided by 1?\nAnswer: -5025","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -4427 - -26675\/6. Calculate the common denominator of h and -17\/9.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(sqrt(48) + -1) + ((sqrt(147) + 1)*-3 - sqrt(147)))**2.\nAnswer: 72*sqrt(3) + 129","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -7 + (-32 - -34 - (2 - 59)) + (5 - -3)?\nAnswer: 60","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = -u**3 - 15*u**2 - 220*u - 116. Let h be v(-46). Round h to the nearest 10000.\nAnswer: 80000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10*a**3 + 219 - 7*a**3 - 219.\nAnswer: 3*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 457 - 18859621690\nAnswer: -18859621233","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -34 - -32. Let p = -2.8 + 35.8. Let n = p + -33.3. Which is smaller: z or n?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is fifty-three quarters of a micrometer in nanometers?\nAnswer: 13250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = -d + 17. Suppose 4*z - 3 - 25 = 0. Calculate the lowest common multiple of y(z) and 4.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-5 - (-1 - 1))*-1. Factor 2*i**4 - 3*i - 2*i**2 + 8*i**2 + 5*i + 6*i**v.\nAnswer: 2*i*(i + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000371722 rounded to 5 dps?\nAnswer: -0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -157561200 divided by -175068.\nAnswer: 900","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = -98*s**2 - 17*s + 17. Let p(l) = -81*l**2 - 14*l + 14. Let u(w) = -17*p(w) + 14*q(w). Let f be -1*(4\/(-2) - -3). Give u(f).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 4*d*v**5 - 7*d*v**2 - 13*d*v + 3*d - 10*v**5 - 2*v**3 wrt v?\nAnswer: 240*d*v**2 - 600*v**2 - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j = 4*x - 342, -360 = -3*j + 3*x - x. Suppose 2*p - 3*v = 63, -4*p - 3*v + v + j = 0. Is p a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = 48*r**2 - 27*r + 21. Let q be (-4)\/(-5)*(-2 - 3). Let l(u) = -7*u**2 + 4*u - 3. Let y(b) = q*x(b) - 27*l(b). Differentiate y(k) with respect to k.\nAnswer: -6*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 1, e: 2, s: 2, i: 1}. Give prob of picking 1 u and 1 s.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -10 or -324254?\nAnswer: -324254","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 h and 1 n when two letters picked without replacement from {n: 5, f: 4, e: 10, h: 1}.\nAnswer: 1\/38","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -3.1918 - -1.5918. Put -1\/4, 179, p in ascending order.\nAnswer: p, -1\/4, 179","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 164 + -137. Let p(t) = -94*t + 21*t + 10 + x*t + 19*t + 29*t. Determine p(-11).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q = 12, q + 36 = 2*x - q. Let m(h) = 25*h**2 - 7*h**2 - 3 + 1. Let p be m(-2). Calculate the greatest common divisor of p and x.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2796 divided by 3.\nAnswer: -932","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2293?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 15.38 - -634.62. Let p = q - 651. Which is the closest to p? (a) 1\/6 (b) 3\/2 (c) 2\/9 (d) 33\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -166521367\/462 - -360436. Find the common denominator of -41\/66 and i.\nAnswer: 462","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 555 a factor of 26970054?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o**5 - 760836*o**4 + 48240045728*o**3 - 1019601603294624*o**2 + 3058467140976192*o - 2038913776966464 = 0. Calculate o.\nAnswer: 1, 2, 63402","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 10449.\nAnswer: 3, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (2 - -9) + -2 + (-46)\/5. Sort -16, -1.8, b in descending order.\nAnswer: b, -1.8, -16","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k + 0 = -6. Let q = -0.0269 - -1628.0269. Let b = q + -1627.93. Is b at most k?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = 2*b**2 - 9*b + 7. Let y be x(4). Let t be ((-2)\/(-8))\/(y\/(-12)). Let f be 6\/4*(8 + -6). Put 1, f, t in decreasing order.\nAnswer: f, 1, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in seventeen halves of a millennium?\nAnswer: 8500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (84\/72*12)\/2.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 17\/2 of a litre in millilitres?\nAnswer: 8500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = n**2 + 4*n - 3. Suppose 0 = 17*x - 15*x - 14. Suppose x*m + 11 = 2*u + 4*m, u = -5*m - 1. Calculate the remainder when u is divided by b(-5).\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*f = 8*f - 1652. Is f a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 20565\/94 or 218?\nAnswer: 218","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5ef9ce (base 16) to base 6.\nAnswer: 341224210","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = z**2 + 4*z - 1. Let t be l(-5). Let m be (2*7\/21)\/(791\/(-3)). Let r = 787\/1582 - m. Which is the third smallest value? (a) r (b) 5 (c) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n = -2*c + 1, -9*n - 4*c = -6*n - 13. Let y(d) = -d**2 + 9*d + 6. What is the remainder when y(7) is divided by n?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 36 and 20556?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 11? (a) 4 (b) 0.2 (c) 2\/7 (d) -2\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -31196356*r**5 - 6994942*r wrt r?\nAnswer: -623927120*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1020\/952*4\/10?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wwpruwgrgrhr. Give prob of sequence rp.\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + (-4 + -4 + -3 + sqrt(1568)*-2 + 3 + 2 + sqrt(1568) + 2)**2.\nAnswer: 224*sqrt(2) + 1583","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -30 + 1 + -9 + 45.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3507 is divided by 292?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2482498 is divided by 19?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 60879.3 decades?\nAnswer: 7305516","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 4 (b) -5 (c) 87 (d) 2\/15 (e) -2\/15 (f) -0.3\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 647 minutes after 4:35 AM?\nAnswer: 3:22 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) be the second derivative of r**3\/6 - r**2\/2 - r. Let x be (0 - 1)*1*-2. Let p be w(x). Solve 2*t + 1 = -p for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -88*a**3 - 40192456*a**2 - 36*a**3 + 40192456*a**2.\nAnswer: -124*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 15*u**4 - u**3 + 14*u**4 - 218 - 2*u**4 wrt u.\nAnswer: 108*u**3 - 3*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -7 + (-17 - -10) + 14 + -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find n, given that n**3\/6 - 10*n**2 - 527*n\/2 - 760\/3 = 0.\nAnswer: -19, -1, 80","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 20 divide 3980?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = 353*i + 17869. What is m(-51)?\nAnswer: -134","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0, 5\/4, -8\/5, -0.5?\nAnswer: -8\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 50 or -3392?\nAnswer: 50","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/25 of a millennium in years?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 3.6 plus -0.1199?\nAnswer: 3.4801","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert -220161 (base 7) to base 9.\nAnswer: -57736","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) be the first derivative of -3*g**4\/20 + g**3\/5 + 9*g**2\/5 - 85. Factor r(n).\nAnswer: -3*n*(n - 3)*(n + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -83 + 88. Let o(c) be the first derivative of 0*c**3 + 0*c**2 - 3\/5*c**h + 0*c**4 - c - 2. What is the derivative of o(v) wrt v?\nAnswer: -12*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1188000 rounded to the nearest 10000?\nAnswer: -1190000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 41*d**2 - 12*d**2 - 24*d**2 - 14*d**2.\nAnswer: -9*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 15.00000064 - 15. Round y to 7 decimal places.\nAnswer: 0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (6 - 1) + 1*2. Suppose -12 = 4*x, -x = -6*j + j + 133. Suppose -o = -j + i. List the prime factors of o.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -51 + 59. What is the highest common divisor of 4 and v?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.5, -90\/7, -2.5.\nAnswer: -90\/7, -2.5, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1407 = -2*q - 3*k, -3*q - 5*k = -1707 - 402. Suppose -2*s + 136 = -q. What are the prime factors of s?\nAnswer: 2, 211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 19*q**3 + 13*q**2 - 5429*q wrt q?\nAnswer: 114*q + 26","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 6907 to the power of 1\/2, to the nearest integer?\nAnswer: 83","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -12014550, -24029101, -36043652, -48058203, -60072754?\n\"Answer: -12014551*u + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 37 - 19. Let s = 137212 - 137217. Which is the second biggest value? (a) f (b) s (c) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 202 divide 141569?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 349d62 - -1?\nAnswer: 349d63","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 6562, 8151, 9742, 11335?\n\"Answer: d**2 + 1586*d + 4975","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -26 = -2*j + 4*n, 0 = -4*n + 3*n - 4. Suppose j = k - 3. What is the smallest common multiple of k and 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -2 and 241760154032543?\nAnswer: 241760154032545","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 9\/212 or 281?\nAnswer: 281","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:27 AM and 4:45 PM?\nAnswer: 558","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = -3*i - 3. Let k be (1 - 5)\/(2\/1). Let a be x(k). Solve 10 = -2*q, -a*j = -0*q + q + 11 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 8302 and 4662?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -33019 + -3?\nAnswer: -33022","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = 17*x**2 + 2*x - 114. Give y(0).\nAnswer: -114","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = 18*r**3 + 14*r**2 + 14*r + 14616. Let d(t) = 4*t**3 + 3*t**2 + 3*t + 2923. Give -3*b(v) + 14*d(v).\nAnswer: 2*v**3 - 2926","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 440596 to the power of 1\/3, to the nearest integer?\nAnswer: 76","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 23760 a multiple of 48?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 divided by -148?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 144867 (b) 3 (c) -5\/12\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in seven halves of a milligram?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 452169495.\nAnswer: 3, 5, 10048211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v + 430 = 5*h, -21 = h + 3*v - 118. Let z be (-22)\/(-6) - 15\/(-45). Let n(s) = s**2 - s + 2. What is the remainder when h is divided by n(z)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = 7*a - 9. Let o(p) = -3*p + 5. Let u(t) = -4*m(t) - 7*o(t). Give u(-2).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2)\/(20\/4*56\/1120).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -0.03523508 and 17?\nAnswer: 17.03523508","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -24 + 26. Solve -3*x - 5*z + 32 = 5, g*z = 3*x - 6 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 491 is divided by 31?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3 + 2 - 6)*(3 - 3 + 3*g**2) + 0*g**2 - 7*g**2 + 2*g**2 + (-241*g**2 + 100*g**2 - 63*g**2)*(3 - 8 - 8) to r + f*g**2 + j*g and give f.\nAnswer: 2644","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -41\/230 + -1\/46. Let s = -26 + 29. What is the smallest value in 1, z, 8, s?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 4266 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 80*k - 68*k - 1456 = -92*k for k.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -1888750848, -3777501698, -5666252548, -7555003398?\n\"Answer: -1888750850*r + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -34 + (39 - (6 + 13))\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -49*r + 4 = -48*r. Suppose -1139 = -3*d - 5*u, 0 = -3*d + 5*d + r*u - 762. What is the hundreds digit of d?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 2 - 8. Find the common denominator of (-35)\/n*66\/(-20) and 47\/6.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 238*z - 119*z - 7356*z**2 - 119*z.\nAnswer: -7356*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 18983120?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -293176103, -586352202, -879528303, -1172704406?\nAnswer: -1465880511","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1585391004?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Determine k so that -5*k**5 - 1585*k**4 - 10940*k**3 - 28000*k**2 - 31040*k - 12400 = 0.\nAnswer: -310, -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i + 2 + 3 = 0. Suppose -4*p + 3 = -i. Suppose -4*h = -p*h - 44. Is h a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = 23*z**2 + 97*z + 11. Give y(-4).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 56\/9 (b) -0.4 (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -82 in 8, -18.1, 0, 4\/7, 16?\nAnswer: -18.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 443 at most 444?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000007353 to seven dps.\nAnswer: -0.0000074","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/5 in 214\/33, 1\/6, 0.4?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 83 + -41. Let j(x) = 87*x**2 + 4*x + 1. Let s be j(-1). Calculate the greatest common divisor of s and l.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = -3*g. Suppose 0 = 4*q, 28 = 4*r + 6*q - 3*q. Let y = r + -14. Let t(a) = -a**2 + 7*a. What is y*x(o) - 3*t(o)?\nAnswer: 3*o**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rz when two letters picked without replacement from {z: 9, b: 5, r: 2}?\nAnswer: 3\/40","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 19 - (36 + -2 + -34)\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -5883.8 - -5884. What is the nearest to -3 in -15, q, -0.2, -2\/29?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4a (base 11) to base 2.\nAnswer: 110110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express -1816*f**2 - 1443*f**2 + 886*f**2 as u + a*f**2 + n*f and give a.\nAnswer: -2373","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mo when two letters picked without replacement from {o: 1, j: 1, v: 2, y: 2, m: 2}.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*(sqrt(88) - sqrt(88)*3)*4)\/(sqrt(1152) + -1*(sqrt(1152) + sqrt(1152)*3) + sqrt(1152)).\nAnswer: 2*sqrt(11)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = -6*v**2 - 2425*v - 19393. Calculate x(-396).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*q - 3*n + 4*n = 5*n + 9, 3*n + 15 = 228*q - 227*q for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -10 + 1211?\nAnswer: 1201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is (180\/52)\/((-2835)\/(-630))?\nAnswer: 10\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 633?\nAnswer: 3, 211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 244 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-1 - -2)\/((-1)\/(-3)). Let u = -4 - -7. Let l be (54\/30)\/(u\/5). Solve -2*b - 2 = -4, 0 = -n*k + l*b - 18 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 434, -20, -1.8 in decreasing order.\nAnswer: 434, -1.8, -20","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 2480 and 155.\nAnswer: 155","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 57428 and 362690636?\nAnswer: 8204","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = 46*l**3 - 2*l**2 + 5*l - 4. Let t be k(1). Let q = 86 + t. Is 5 a factor of q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) be the first derivative of z**5\/10 + 5*z**4\/6 + 4*z - 12. Let m(l) be the first derivative of f(l). What is the third derivative of m(b) wrt b?\nAnswer: 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3464635 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -1370*h**3*k - 19326*h**3 + 2*h**2 + h - 176*k**2 wrt k.\nAnswer: -1370*h**3 - 352*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (4 - (143 + -13)) + (1 - -3) + (-235 - -239)?\nAnswer: -118","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = 2*o**3 - 21*o**2 + 19*o - 106. What is l(10)?\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) be the first derivative of -73 - 4*b**4 - 16*b - 22*b**2 + 76\/3*b**3. Find q such that g(q) = 0.\nAnswer: -1\/4, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f + 8 = 32. Let a(z) = -6*z + 3. Let p(q) = -7*q + 4. Let h(i) = 6*a(i) - 5*p(i). What is the remainder when f is divided by h(-5)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2047552 by -44512.\nAnswer: -46","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of r**5 + 3*r**4 - 252*r**3 + 1514*r**2.\nAnswer: 60*r**2 + 72*r - 1512","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (4\/(-2))\/((-10)\/15). Suppose -4*z + 4 = 2*o, 5*o + 1 + x = -3*z. Is -2 + o\/1 - -99 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -50 + 25 = -5*m. What is the closest to -0.2 in m, -1, -52?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1277.9 * -0.3.\nAnswer: -383.37","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is d + -689292?\nAnswer: -689284","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 36945.\nAnswer: 3, 5, 821","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 3242120 rounded to the nearest 10000?\nAnswer: 3240000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-540*c + 794*c - 914*c)*(10 + 19 + 1).\nAnswer: -19800*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ooo when three letters picked without replacement from oooooooomooo?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3301 by -3.\nAnswer: 3301\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 11 - ((-3 - 1) + 8).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand 1 - p**3 - 1 + (-22*p**2 + 8*p**2 + 8*p**2)*(-p - p + p).\nAnswer: 5*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = -j**3 + 27*j**2 - 25*j + 4. Calculate i(26).\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 9104641 and 10829.\nAnswer: 637","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a - 5*i - 15 = 0, 0 = -0*a + a + 4*i + 16. Let n be a\/(-48) - (-20)\/(-120). Factor n*b**2 + 5\/2 + 11\/4*b.\nAnswer: (b + 1)*(b + 10)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*a - 2*a - 2*t = 260, -5*a + 331 = -4*t. Does 21 divide a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -67\/44174664 and 97\/19324.\nAnswer: 44174664","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 223 minutes after 6:44 AM?\nAnswer: 10:27 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -757, -716, -693, -706, -773?\n\"Answer: -3*o**3 + 9*o**2 + 35*o - 798","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 4335 and 2455055?\nAnswer: 1445","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 45649217 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 20 + (3 - ((14 - 0) + -27 + 23))?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 172\/535 (b) 3 (c) 0.7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -2, 129, -4, -5 in descending order.\nAnswer: 129, -2, -3, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = 14*w**2 - 15*w - 15. Let j(p) = -7*p**2 + 7*p + 7. Calculate -6*a(x) - 13*j(x).\nAnswer: 7*x**2 - x - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: (6 - (-5 + 3)) + 2 + -7\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 223439 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: How many milligrams are there in 6\/5 of a gram?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + ((-6*sqrt(68))**2 + (sqrt(68) + -5)**2 - (-1*sqrt(136))\/sqrt(8)*3) + -2.\nAnswer: -17*sqrt(17) + 2538","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -27495 divided by 4316.\nAnswer: -2115\/332","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) be the second derivative of 3*f**5\/10 - 5*f**4\/12 + 5*f**2\/2 + 24*f. Let r(a) = 15*a**3 - 12*a**2 + 12. Give 12*n(h) - 5*r(h).\nAnswer: -3*h**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-6820)\/352*(-696)\/145?\nAnswer: 93","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -7 + 2\/(-3)*3. Let x = -9 - c. Let v = -586 - -591. Solve 0 = v*t - y - x*y - 22, 3*t + y - 18 = 0 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 127779 - 302571 = -8*t. Is t prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = -z**3 + 34*z**2 - 62*z - 54. Calculate the smallest common multiple of y(32) and 4.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.015 + 0.215. What is the second smallest value in j, -2\/7, -41, -3, 0.4?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 11\/(-99)*(-3)\/((-6)\/4). Which is the biggest value? (a) 1 (b) r (c) -0.8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1608 * 6.\nAnswer: -9648","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = -30*a**4 - 5*a**3 + 44*a**2 + 5. Let g(i) = -i**4 + i**3 + i**2 - 1. Let p(f) = -5*g(f) - j(f). Find the third derivative of p(y) wrt y.\nAnswer: 840*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + (sqrt(68) + sqrt(68)*3 + sqrt(68))\/sqrt(4).\nAnswer: -4 + 5*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1096 and 685.\nAnswer: 137","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 43856?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand -k**3 + 6*k**3 - 3*k**3 + (6*k**2 - 9*k**2 + 45*k**2)*(0*k - 2*k - k).\nAnswer: -124*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.146610672775109 - 4.\nAnswer: -3.853389327224891","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 1, p: 1, a: 1, t: 1, g: 1}. What is prob of sequence gt?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -283.0191 + 283. Round d to three dps.\nAnswer: -0.019","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 15083\/11 - 1371. Sort -6\/7, 3\/23, -1, n, 1\/7 in decreasing order.\nAnswer: n, 1\/7, 3\/23, -6\/7, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = -2*q**2 - 42. Let h = -1292 - -1292. Calculate s(h).\nAnswer: -42","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Multiply 32854.2 and -0.175.\nAnswer: -5749.485","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(-5\/6)\/(i**(-4\/5)\/i))\/(i**(-5)*i)**(-34) assuming i is positive.\nAnswer: i**(-4051\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -f + 21*l = -72, 2*f - 3*l + 11908 - 11896 = 0 for f.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(1\/4))**(-20) assuming p is positive.\nAnswer: p**(-5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -35, 2, -12?\nAnswer: -12","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in seven halves of a gram?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 1ad9c (base 15) to base 3\nAnswer: 11102221210","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 957, -2, 23853 in descending order.\nAnswer: 23853, 957, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6 - 10 - 4)*(5 + 20*z - 5).\nAnswer: -400*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 511812?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {f: 4}. What is prob of sequence ffff?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*u + 2845 + 774 = 0. List the prime factors of u.\nAnswer: 7, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) be the third derivative of f**5\/18 + 211*f**4\/18 - 688*f**3\/9 - 2356*f**2. Let a(u) = 0. What is u?\nAnswer: -86, 8\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = 5*b**2 + 20*b + 38. Let d be z(-9). Let n = -356 + d. Is -93 <= n?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -119\/24000 and -71\/22125?\nAnswer: 1416000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1268, 670, -16, -4.\nAnswer: -1268, -16, -4, 670","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1319298?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(684)*1*-1 - sqrt(684))**2 + (3 + (sqrt(684) - sqrt(684)*1)**2 - sqrt(684)) + 2 + -3 + -4*(sqrt(684) - -1*sqrt(684)*3)**2.\nAnswer: -41038 - 6*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -32.07905 less than -0.023?\nAnswer: 32.05605","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Divide 13 by 1.\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ovuuouuvhlvm. Give prob of picking 1 v, 1 h, and 1 o.\nAnswer: 3\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from eueu. Give prob of sequence eeuu.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -3 - -4. Let b = f - -1. Suppose b*n - 1 + 9 = 0. What is the nearest to -1\/4 in -0.5, n, 5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 433 is divided by 79?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2986 = -2*f - 4*a, -4*f + 5*a + 3603 = -2317. Suppose 0 = -5*l + z + f, -2*l + 1194 = 2*l - 2*z. What is the hundreds digit of l?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 75240 a multiple of 165?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -93, -4\/77, -4.3, -1?\nAnswer: -4\/77","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2*i*m*z + 6*i*m + 2406498*i*z**2 + 4339*m - z**3 - 2 wrt z.\nAnswer: -2*i*m + 4812996*i*z - 3*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 37*h**2 + 1500*h**2 - 1538*h**2 - 6 - 1 + 7.\nAnswer: -h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = y**2 - y - 3. Let j be n(3). Let q be (-10)\/(-15) + (-32)\/j. Let t = -4 - q. Solve -3*z - 3 = t for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -57320 (b) -17 (c) -2 (d) 4 (e) 9 (f) -1\/3\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -1.03162 times -224.6\nAnswer: 231.701852","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z**(-25)*z)\/z**(3\/2))\/(z**(-4\/5)*z*z*(z\/(z**0\/z))\/z) assuming z is positive.\nAnswer: z**(-277\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Does 1261 divide 14226801?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 7*((-3)\/(-7))\/((-117)\/(-793299))?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 665 minutes before 1:06 AM?\nAnswer: 2:01 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*q = -h - 15, q - 2*q + h + 10 = 0 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from zzphppzhzzqhmz. What is prob of picking 1 q, 1 h, and 1 p?\nAnswer: 9\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 438 - 1002. Let w = -564.4 - i. Which is the third smallest value? (a) -2\/9 (b) -133 (c) w\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t + 13 = 5*c, -6 + 1 = c - 4*t. Let v(d) = -15*d**3 + 2*d**2 - 2*d**2 + 14*d**c + 4*d + 3. Calculate v(-2).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = 4*b + 6. Let w be k(-4). Let m be (0 - (0 - 2))*w. Find the common denominator of 1\/(14\/m) - -1 and 127\/6.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8 - 27*l**2 + 14*l**2 + 35 + 9*l**2 + 8.\nAnswer: -4*l**2 + 35","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(-5*2*sqrt(17) - (-4 + -1*sqrt(17) + sqrt(17))**2).\nAnswer: -10*sqrt(17) - 16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10*w**2 + 13*w**2 - 13*w**2.\nAnswer: -10*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*c**3 - c - 3 - 2*c**3 + 2*c + c**4 - 3*c**4 + 5 - c**2 as t*c + q*c**2 + i + a*c**4 + v*c**3 and give v.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 613 + -594. What is the derivative of 72 - m + 3 - 83 - 86 - 133*v wrt v?\nAnswer: -133","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-140)\/(-54))\/((-1)\/(-3)). Let q = -8 + d. Which is greater: q or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -973950, -3896205, -8766634, -15585243, -24352038, -35067025, -47730210, -62341599?\nAnswer: -78901198","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 400386.6l?\nAnswer: 400386600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -67460, -67537, -67612, -67685, -67756, -67825?\n\"Answer: k**2 - 80*k - 67381","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 4 in 3\/7, 0.3, 3, 14?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 40 (base 5) to base 9.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor 8*h**3\/3 + 68*h**2\/3 + 65*h\/6 + 4\/3.\nAnswer: (h + 8)*(4*h + 1)**2\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 802 a factor of 940792481?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0 + -0.2. Let n(v) = v**2 + 11*v - 4. Let q be n(-11). Which is the second smallest value? (a) -0.5 (b) h (c) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -7466 + 7466.6. Which is the nearest to -0.3? (a) 5 (b) m (c) 1\/5 (d) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 0 - 1)*(-4 + 1 + 5)*(-4*j**2 - 4*j**2 + 0*j**2) + 7*j + 0 - 15*j + 2 - j**2.\nAnswer: -17*j**2 - 8*j + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 524?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put 420, -4\/5, 1171 in ascending order.\nAnswer: -4\/5, 420, 1171","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 11.3834 (b) -3\/10 (c) 1\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2682*p**4 + 28*p**2 + 48344*p?\nAnswer: -32184*p**2 + 56","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*v + 57 + 63 = 0. Suppose 0 = 3*o + 2*o + 85. Let r = o - v. Which is greater: r or -4\/7?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"comparison__pair_composed_test"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(72)*-1*2 + sqrt(72))\/(-5*(sqrt(81) - sqrt(9))))**2.\nAnswer: 2\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -45.4536 - -41.488473. Let o = h - -21.964857. Let u = o - 18. Round u to four dps.\nAnswer: -0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 0.2 and -86700355426.\nAnswer: -86700355425.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.0625? (a) -79 (b) -1 (c) -4 (d) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2\/(-2)*589\/20026.\nAnswer: -1\/34","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -82 + 93. Suppose f*l - 4*l = -112. Is l at least as big as -19?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = l, -2*l - 6 = 3*b - 4*b. Suppose 2 = -b*k - 3*f, 0 = -4*f + 5 + 3. Is k at most -2\/3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 25 - 20. Suppose 445 = 3*v + v - j, -4*v = b*j - 439. What are the prime factors of v?\nAnswer: 3, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = 2341*v - 2342. What is h(1)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 377, 206, 35, -136?\nAnswer: -307","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -5094, -5111, -5118, -5103, -5054, -4959?\n\"Answer: 2*i**3 - 7*i**2 - 10*i - 5079","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 1427 divide 22500936?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -l - 10 = -5*o, -3*l + o - 7 - 9 = 0 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 116947550?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}